id sid tid token lemma pos A52264 1 1 Institutio Institutio NNP A52264 1 2 mathematica mathematica NN A52264 1 3 , , , A52264 1 4 or or CC A52264 1 5 , , , A52264 1 6 A a DT A52264 1 7 mathematical mathematical JJ A52264 1 8 institution institution NN A52264 1 9 shewing shew VBG A52264 1 10 the the DT A52264 1 11 construction construction NN A52264 1 12 and and CC A52264 1 13 use use NN A52264 1 14 of of IN A52264 1 15 the the DT A52264 1 16 naturall naturall NNP A52264 1 17 and and CC A52264 1 18 artificiall artificiall NNP A52264 1 19 sines sines NNPS A52264 1 20 , , , A52264 1 21 tangents tangent NNS A52264 1 22 , , , A52264 1 23 and and CC A52264 1 24 secants secant NNS A52264 1 25 in in IN A52264 1 26 decimal decimal JJ A52264 1 27 numbers number NNS A52264 1 28 , , , A52264 1 29 and and CC A52264 1 30 also also RB A52264 1 31 of of IN A52264 1 32 the the DT A52264 1 33 table table NN A52264 1 34 of of IN A52264 1 35 logarithms logarithm NNS A52264 1 36 in in IN A52264 1 37 the the DT A52264 1 38 general general JJ A52264 1 39 solution solution NN A52264 1 40 of of IN A52264 1 41 any any DT A52264 1 42 triangle triangle NN A52264 1 43 , , , A52264 1 44 whether whether IN A52264 1 45 plain plain JJ A52264 1 46 or or CC A52264 1 47 spherical spherical JJ A52264 1 48 , , , A52264 1 49 with with IN A52264 1 50 their -PRON- PRP$ A52264 1 51 more more RBR A52264 1 52 particular particular JJ A52264 1 53 application application NN A52264 1 54 in in IN A52264 1 55 astronomie astronomie NNP A52264 1 56 , , , A52264 1 57 dialling dialling NN A52264 1 58 , , , A52264 1 59 and and CC A52264 1 60 navigation navigation NN A52264 1 61 / / SYM A52264 1 62 by by IN A52264 1 63 John John NNP A52264 1 64 Newton Newton NNP A52264 1 65 . . . A52264 2 1 Newton Newton NNP A52264 2 2 , , , A52264 2 3 John John NNP A52264 2 4 , , , A52264 2 5 1622 1622 CD A52264 2 6 - - SYM A52264 2 7 1678 1678 CD A52264 2 8 . . . A52264 3 1 1654 1654 CD A52264 3 2 Approx Approx NNP A52264 3 3 . . . A52264 4 1 558 558 CD A52264 4 2 KB kb NN A52264 4 3 of of IN A52264 4 4 XML xml NN A52264 4 5 - - HYPH A52264 4 6 encoded encode VBN A52264 4 7 text text NN A52264 4 8 transcribed transcribe VBN A52264 4 9 from from IN A52264 4 10 240 240 CD A52264 4 11 1-bit 1-bit CD A52264 4 12 group group NN A52264 4 13 - - HYPH A52264 4 14 IV IV NNP A52264 4 15 TIFF TIFF NNP A52264 4 16 page page NN A52264 4 17 images image NNS A52264 4 18 . . . A52264 5 1 Text Text NNP A52264 5 2 Creation Creation NNP A52264 5 3 Partnership Partnership NNP A52264 5 4 , , , A52264 5 5 Ann Ann NNP A52264 5 6 Arbor Arbor NNP A52264 5 7 , , , A52264 5 8 MI MI NNP A52264 5 9 ; ; : A52264 5 10 Oxford Oxford NNP A52264 5 11 ( ( -LRB- A52264 5 12 UK UK NNP A52264 5 13 ) ) -RRB- A52264 5 14 : : : A52264 5 15 2005 2005 CD A52264 5 16 - - SYM A52264 5 17 12 12 CD A52264 5 18 ( ( -LRB- A52264 5 19 EEBO EEBO NNP A52264 5 20 - - HYPH A52264 5 21 TCP TCP NNP A52264 5 22 Phase Phase NNP A52264 5 23 1 1 CD A52264 5 24 ) ) -RRB- A52264 5 25 . . . A52264 6 1 A52264 A52264 NNP A52264 6 2 Wing Wing NNP A52264 6 3 N1061 N1061 NNP A52264 6 4 ESTC ESTC NNP A52264 6 5 R20441 R20441 NNP A52264 6 6 12355076 12355076 CD A52264 6 7 ocm ocm NNP A52264 6 8 12355076 12355076 CD A52264 6 9 60119 60119 CD A52264 6 10 This this DT A52264 6 11 keyboarded keyboarded JJ A52264 6 12 and and CC A52264 6 13 encoded encode VBD A52264 6 14 edition edition NN A52264 6 15 of of IN A52264 6 16 the the DT A52264 6 17 work work NN A52264 6 18 described describe VBN A52264 6 19 above above RB A52264 6 20 is be VBZ A52264 6 21 co co VBN A52264 6 22 - - VBN A52264 6 23 owned own VBN A52264 6 24 by by IN A52264 6 25 the the DT A52264 6 26 institutions institution NNS A52264 6 27 providing provide VBG A52264 6 28 financial financial JJ A52264 6 29 support support NN A52264 6 30 to to IN A52264 6 31 the the DT A52264 6 32 Early early JJ A52264 6 33 English English NNP A52264 6 34 Books Books NNPS A52264 6 35 Online Online NNP A52264 6 36 Text Text NNP A52264 6 37 Creation Creation NNP A52264 6 38 Partnership Partnership NNP A52264 6 39 . . . A52264 7 1 This this DT A52264 7 2 Phase Phase NNP A52264 7 3 I -PRON- PRP A52264 7 4 text text NN A52264 7 5 is be VBZ A52264 7 6 available available JJ A52264 7 7 for for IN A52264 7 8 reuse reuse NN A52264 7 9 , , , A52264 7 10 according accord VBG A52264 7 11 to to IN A52264 7 12 the the DT A52264 7 13 terms term NNS A52264 7 14 of of IN A52264 7 15 Creative Creative NNP A52264 7 16 Commons Commons NNPS A52264 7 17 0 0 CD A52264 7 18 1.0 1.0 CD A52264 7 19 Universal Universal NNP A52264 7 20 . . . A52264 8 1 The the DT A52264 8 2 text text NN A52264 8 3 can can MD A52264 8 4 be be VB A52264 8 5 copied copy VBN A52264 8 6 , , , A52264 8 7 modified modify VBN A52264 8 8 , , , A52264 8 9 distributed distribute VBN A52264 8 10 and and CC A52264 8 11 performed perform VBN A52264 8 12 , , , A52264 8 13 even even RB A52264 8 14 for for IN A52264 8 15 commercial commercial JJ A52264 8 16 purposes purpose NNS A52264 8 17 , , , A52264 8 18 all all DT A52264 8 19 without without IN A52264 8 20 asking ask VBG A52264 8 21 permission permission NN A52264 8 22 . . . A52264 9 1 Early early JJ A52264 9 2 English english JJ A52264 9 3 books book NNS A52264 9 4 online online RB A52264 9 5 . . . A52264 10 1 ( ( -LRB- A52264 10 2 EEBO eebo NN A52264 10 3 - - HYPH A52264 10 4 TCP TCP NNP A52264 10 5 ; ; : A52264 10 6 phase phase NN A52264 10 7 1 1 CD A52264 10 8 , , , A52264 10 9 no no UH A52264 10 10 . . . A52264 11 1 A52264 A52264 NNP A52264 11 2 ) ) -RRB- A52264 11 3 Transcribed Transcribed NNP A52264 11 4 from from IN A52264 11 5 : : : A52264 11 6 ( ( -LRB- A52264 11 7 Early early JJ A52264 11 8 English english JJ A52264 11 9 Books book NNS A52264 11 10 Online online RB A52264 11 11 ; ; , A52264 11 12 image image NN A52264 11 13 set set VBD A52264 11 14 60119 60119 CD A52264 11 15 ) ) -RRB- A52264 11 16 Images image NNS A52264 11 17 scanned scan VBN A52264 11 18 from from IN A52264 11 19 microfilm microfilm NN A52264 11 20 : : : A52264 11 21 ( ( -LRB- A52264 11 22 Early early JJ A52264 11 23 English english JJ A52264 11 24 books book NNS A52264 11 25 , , , A52264 11 26 1641 1641 CD A52264 11 27 - - SYM A52264 11 28 1700 1700 CD A52264 11 29 ; ; : A52264 11 30 217:14 217:14 LS A52264 11 31 ) ) -RRB- A52264 11 32 Institutio institutio NN A52264 11 33 mathematica mathematica NN A52264 11 34 , , , A52264 11 35 or or CC A52264 11 36 , , , A52264 11 37 A a DT A52264 11 38 mathematical mathematical JJ A52264 11 39 institution institution NN A52264 11 40 shewing shew VBG A52264 11 41 the the DT A52264 11 42 construction construction NN A52264 11 43 and and CC A52264 11 44 use use NN A52264 11 45 of of IN A52264 11 46 the the DT A52264 11 47 naturall naturall NNP A52264 11 48 and and CC A52264 11 49 artificiall artificiall NNP A52264 11 50 sines sines NNPS A52264 11 51 , , , A52264 11 52 tangents tangent NNS A52264 11 53 , , , A52264 11 54 and and CC A52264 11 55 secants secant NNS A52264 11 56 in in IN A52264 11 57 decimal decimal JJ A52264 11 58 numbers number NNS A52264 11 59 , , , A52264 11 60 and and CC A52264 11 61 also also RB A52264 11 62 of of IN A52264 11 63 the the DT A52264 11 64 table table NN A52264 11 65 of of IN A52264 11 66 logarithms logarithm NNS A52264 11 67 in in IN A52264 11 68 the the DT A52264 11 69 general general JJ A52264 11 70 solution solution NN A52264 11 71 of of IN A52264 11 72 any any DT A52264 11 73 triangle triangle NN A52264 11 74 , , , A52264 11 75 whether whether IN A52264 11 76 plain plain JJ A52264 11 77 or or CC A52264 11 78 spherical spherical JJ A52264 11 79 , , , A52264 11 80 with with IN A52264 11 81 their -PRON- PRP$ A52264 11 82 more more RBR A52264 11 83 particular particular JJ A52264 11 84 application application NN A52264 11 85 in in IN A52264 11 86 astronomie astronomie NNP A52264 11 87 , , , A52264 11 88 dialling dialling NN A52264 11 89 , , , A52264 11 90 and and CC A52264 11 91 navigation navigation NN A52264 11 92 / / SYM A52264 11 93 by by IN A52264 11 94 John John NNP A52264 11 95 Newton Newton NNP A52264 11 96 . . . A52264 12 1 Newton Newton NNP A52264 12 2 , , , A52264 12 3 John John NNP A52264 12 4 , , , A52264 12 5 1622 1622 CD A52264 12 6 - - SYM A52264 12 7 1678 1678 CD A52264 12 8 . . . A52264 13 1 [ [ -LRB- A52264 13 2 9 9 CD A52264 13 3 ] ] -RRB- A52264 13 4 , , , A52264 13 5 420 420 CD A52264 13 6 p. p. NN A52264 13 7 , , , A52264 13 8 [ [ -LRB- A52264 13 9 4 4 CD A52264 13 10 ] ] -RRB- A52264 13 11 leaves leave NNS A52264 13 12 of of IN A52264 13 13 plates plate NNS A52264 13 14 ( ( -LRB- A52264 13 15 2 2 CD A52264 13 16 folded fold VBN A52264 13 17 ) ) -RRB- A52264 13 18 : : : A52264 13 19 ill ill NNP A52264 13 20 . . . A52264 14 1 Printed print VBN A52264 14 2 by by IN A52264 14 3 R. R. NNP A52264 14 4 & & CC A52264 14 5 W. W. NNP A52264 14 6 Leybourn Leybourn NNP A52264 14 7 , , , A52264 14 8 for for IN A52264 14 9 George George NNP A52264 14 10 Hurlock Hurlock NNP A52264 14 11 ... ... : A52264 14 12 and and CC A52264 14 13 Robert Robert NNP A52264 14 14 Boydel Boydel NNP A52264 14 15 ... ... NFP A52264 14 16 , , , A52264 14 17 London London NNP A52264 14 18 : : : A52264 14 19 1654 1654 CD A52264 14 20 . . . A52264 15 1 First First NNP A52264 15 2 ed ed NNP A52264 15 3 . . . A52264 16 1 Cf cf NN A52264 16 2 . . . A52264 17 1 NUC NUC NNP A52264 17 2 pre-1956 pre-1956 NN A52264 17 3 . . . A52264 18 1 " " `` A52264 18 2 The the DT A52264 18 3 second second JJ A52264 18 4 part part NN A52264 18 5 " " `` A52264 18 6 has have VBZ A52264 18 7 special special JJ A52264 18 8 t.p t.p NNP A52264 18 9 . . . A52264 19 1 Errata errata NN A52264 19 2 on on IN A52264 19 3 p. p. NN A52264 19 4 [ [ -LRB- A52264 19 5 9 9 CD A52264 19 6 ] ] -RRB- A52264 19 7 . . . A52264 20 1 Reproduction reproduction NN A52264 20 2 of of IN A52264 20 3 original original NN A52264 20 4 in in IN A52264 20 5 British British NNP A52264 20 6 Library Library NNP A52264 20 7 . . . A52264 21 1 Created create VBN A52264 21 2 by by IN A52264 21 3 converting convert VBG A52264 21 4 TCP TCP NNP A52264 21 5 files file NNS A52264 21 6 to to IN A52264 21 7 TEI TEI NNP A52264 21 8 P5 P5 NNP A52264 21 9 using use VBG A52264 21 10 tcp2tei.xsl tcp2tei.xsl NN A52264 21 11 , , , A52264 21 12 TEI TEI NNP A52264 21 13 @ @ CC A52264 21 14 Oxford Oxford NNP A52264 21 15 . . . A52264 22 1 Re Re NNS A52264 22 2 - - VBN A52264 22 3 processed process VBN A52264 22 4 by by IN A52264 22 5 University University NNP A52264 22 6 of of IN A52264 22 7 Nebraska Nebraska NNP A52264 22 8 - - HYPH A52264 22 9 Lincoln Lincoln NNP A52264 22 10 and and CC A52264 22 11 Northwestern Northwestern NNP A52264 22 12 , , , A52264 22 13 with with IN A52264 22 14 changes change NNS A52264 22 15 to to TO A52264 22 16 facilitate facilitate VB A52264 22 17 morpho morpho NN A52264 22 18 - - HYPH A52264 22 19 syntactic syntactic JJ A52264 22 20 tagging tagging NN A52264 22 21 . . . A52264 23 1 Gap Gap NNP A52264 23 2 elements element NNS A52264 23 3 of of IN A52264 23 4 known know VBN A52264 23 5 extent extent NN A52264 23 6 have have VBP A52264 23 7 been be VBN A52264 23 8 transformed transform VBN A52264 23 9 into into IN A52264 23 10 placeholder placeholder NN A52264 23 11 characters character NNS A52264 23 12 or or CC A52264 23 13 elements element NNS A52264 23 14 to to TO A52264 23 15 simplify simplify VB A52264 23 16 the the DT A52264 23 17 filling filling NN A52264 23 18 in in RP A52264 23 19 of of IN A52264 23 20 gaps gap NNS A52264 23 21 by by IN A52264 23 22 user user NN A52264 23 23 contributors contributor NNS A52264 23 24 . . . A52264 24 1 EEBO EEBO NNP A52264 24 2 - - HYPH A52264 24 3 TCP TCP NNP A52264 24 4 is be VBZ A52264 24 5 a a DT A52264 24 6 partnership partnership NN A52264 24 7 between between IN A52264 24 8 the the DT A52264 24 9 Universities Universities NNPS A52264 24 10 of of IN A52264 24 11 Michigan Michigan NNP A52264 24 12 and and CC A52264 24 13 Oxford Oxford NNP A52264 24 14 and and CC A52264 24 15 the the DT A52264 24 16 publisher publisher NN A52264 24 17 ProQuest ProQuest NNP A52264 24 18 to to TO A52264 24 19 create create VB A52264 24 20 accurately accurately RB A52264 24 21 transcribed transcribe VBN A52264 24 22 and and CC A52264 24 23 encoded encode VBN A52264 24 24 texts text NNS A52264 24 25 based base VBN A52264 24 26 on on IN A52264 24 27 the the DT A52264 24 28 image image NN A52264 24 29 sets set NNS A52264 24 30 published publish VBN A52264 24 31 by by IN A52264 24 32 ProQuest ProQuest NNP A52264 24 33 via via IN A52264 24 34 their -PRON- PRP$ A52264 24 35 Early early JJ A52264 24 36 English english JJ A52264 24 37 Books book NNS A52264 24 38 Online Online NNP A52264 24 39 ( ( -LRB- A52264 24 40 EEBO EEBO NNP A52264 24 41 ) ) -RRB- A52264 24 42 database database NN A52264 24 43 ( ( -LRB- A52264 24 44 http://eebo.chadwyck.com http://eebo.chadwyck.com ADD A52264 24 45 ) ) -RRB- A52264 24 46 . . . A52264 25 1 The the DT A52264 25 2 general general JJ A52264 25 3 aim aim NN A52264 25 4 of of IN A52264 25 5 EEBO eebo NN A52264 25 6 - - HYPH A52264 25 7 TCP TCP NNP A52264 25 8 is be VBZ A52264 25 9 to to TO A52264 25 10 encode encode VB A52264 25 11 one one CD A52264 25 12 copy copy NN A52264 25 13 ( ( -LRB- A52264 25 14 usually usually RB A52264 25 15 the the DT A52264 25 16 first first JJ A52264 25 17 edition edition NN A52264 25 18 ) ) -RRB- A52264 25 19 of of IN A52264 25 20 every every DT A52264 25 21 monographic monographic JJ A52264 25 22 English English NNP A52264 25 23 - - HYPH A52264 25 24 language language NN A52264 25 25 title title NN A52264 25 26 published publish VBN A52264 25 27 between between IN A52264 25 28 1473 1473 CD A52264 25 29 and and CC A52264 25 30 1700 1700 CD A52264 25 31 available available JJ A52264 25 32 in in IN A52264 25 33 EEBO EEBO NNP A52264 25 34 . . . A52264 26 1 EEBO EEBO NNP A52264 26 2 - - HYPH A52264 26 3 TCP TCP NNP A52264 26 4 aimed aim VBN A52264 26 5 to to TO A52264 26 6 produce produce VB A52264 26 7 large large JJ A52264 26 8 quantities quantity NNS A52264 26 9 of of IN A52264 26 10 textual textual JJ A52264 26 11 data datum NNS A52264 26 12 within within IN A52264 26 13 the the DT A52264 26 14 usual usual JJ A52264 26 15 project project NN A52264 26 16 restraints restraint NNS A52264 26 17 of of IN A52264 26 18 time time NN A52264 26 19 and and CC A52264 26 20 funding funding NN A52264 26 21 , , , A52264 26 22 and and CC A52264 26 23 therefore therefore RB A52264 26 24 chose choose VBD A52264 26 25 to to TO A52264 26 26 create create VB A52264 26 27 diplomatic diplomatic JJ A52264 26 28 transcriptions transcription NNS A52264 26 29 ( ( -LRB- A52264 26 30 as as IN A52264 26 31 opposed oppose VBN A52264 26 32 to to IN A52264 26 33 critical critical JJ A52264 26 34 editions edition NNS A52264 26 35 ) ) -RRB- A52264 26 36 with with IN A52264 26 37 light light JJ A52264 26 38 - - HYPH A52264 26 39 touch touch NN A52264 26 40 , , , A52264 26 41 mainly mainly RB A52264 26 42 structural structural JJ A52264 26 43 encoding encoding NN A52264 26 44 based base VBN A52264 26 45 on on IN A52264 26 46 the the DT A52264 26 47 Text Text NNP A52264 26 48 Encoding Encoding NNP A52264 26 49 Initiative Initiative NNP A52264 26 50 ( ( -LRB- A52264 26 51 http://www.tei-c.org http://www.tei-c.org NFP A52264 26 52 ) ) -RRB- A52264 26 53 . . . A52264 27 1 The the DT A52264 27 2 EEBO EEBO NNP A52264 27 3 - - HYPH A52264 27 4 TCP TCP NNP A52264 27 5 project project NN A52264 27 6 was be VBD A52264 27 7 divided divide VBN A52264 27 8 into into IN A52264 27 9 two two CD A52264 27 10 phases phase NNS A52264 27 11 . . . A52264 28 1 The the DT A52264 28 2 25,363 25,363 CD A52264 28 3 texts text NNS A52264 28 4 created create VBN A52264 28 5 during during IN A52264 28 6 Phase Phase NNP A52264 28 7 1 1 CD A52264 28 8 of of IN A52264 28 9 the the DT A52264 28 10 project project NN A52264 28 11 have have VBP A52264 28 12 been be VBN A52264 28 13 released release VBN A52264 28 14 into into IN A52264 28 15 the the DT A52264 28 16 public public JJ A52264 28 17 domain domain NN A52264 28 18 as as IN A52264 28 19 of of IN A52264 28 20 1 1 CD A52264 28 21 January January NNP A52264 28 22 2015 2015 CD A52264 28 23 . . . A52264 29 1 Anyone anyone NN A52264 29 2 can can MD A52264 29 3 now now RB A52264 29 4 take take VB A52264 29 5 and and CC A52264 29 6 use use VB A52264 29 7 these these DT A52264 29 8 texts text NNS A52264 29 9 for for IN A52264 29 10 their -PRON- PRP$ A52264 29 11 own own JJ A52264 29 12 purposes purpose NNS A52264 29 13 , , , A52264 29 14 but but CC A52264 29 15 we -PRON- PRP A52264 29 16 respectfully respectfully RB A52264 29 17 request request VBP A52264 29 18 that that DT A52264 29 19 due due JJ A52264 29 20 credit credit NN A52264 29 21 and and CC A52264 29 22 attribution attribution NN A52264 29 23 is be VBZ A52264 29 24 given give VBN A52264 29 25 to to IN A52264 29 26 their -PRON- PRP$ A52264 29 27 original original JJ A52264 29 28 source source NN A52264 29 29 . . . A52264 30 1 Users user NNS A52264 30 2 should should MD A52264 30 3 be be VB A52264 30 4 aware aware JJ A52264 30 5 of of IN A52264 30 6 the the DT A52264 30 7 process process NN A52264 30 8 of of IN A52264 30 9 creating create VBG A52264 30 10 the the DT A52264 30 11 TCP TCP NNP A52264 30 12 texts text NNS A52264 30 13 , , , A52264 30 14 and and CC A52264 30 15 therefore therefore RB A52264 30 16 of of IN A52264 30 17 any any DT A52264 30 18 assumptions assumption NNS A52264 30 19 that that WDT A52264 30 20 can can MD A52264 30 21 be be VB A52264 30 22 made make VBN A52264 30 23 about about IN A52264 30 24 the the DT A52264 30 25 data datum NNS A52264 30 26 . . . A52264 31 1 Text text NN A52264 31 2 selection selection NN A52264 31 3 was be VBD A52264 31 4 based base VBN A52264 31 5 on on IN A52264 31 6 the the DT A52264 31 7 New New NNP A52264 31 8 Cambridge Cambridge NNP A52264 31 9 Bibliography Bibliography NNP A52264 31 10 of of IN A52264 31 11 English English NNP A52264 31 12 Literature Literature NNP A52264 31 13 ( ( -LRB- A52264 31 14 NCBEL NCBEL NNP A52264 31 15 ) ) -RRB- A52264 31 16 . . . A52264 32 1 If if IN A52264 32 2 an an DT A52264 32 3 author author NN A52264 32 4 ( ( -LRB- A52264 32 5 or or CC A52264 32 6 for for IN A52264 32 7 an an DT A52264 32 8 anonymous anonymous JJ A52264 32 9 work work NN A52264 32 10 , , , A52264 32 11 the the DT A52264 32 12 title title NN A52264 32 13 ) ) -RRB- A52264 32 14 appears appear VBZ A52264 32 15 in in IN A52264 32 16 NCBEL NCBEL NNP A52264 32 17 , , , A52264 32 18 then then RB A52264 32 19 their -PRON- PRP$ A52264 32 20 works work NNS A52264 32 21 are be VBP A52264 32 22 eligible eligible JJ A52264 32 23 for for IN A52264 32 24 inclusion inclusion NN A52264 32 25 . . . A52264 33 1 Selection selection NN A52264 33 2 was be VBD A52264 33 3 intended intend VBN A52264 33 4 to to TO A52264 33 5 range range VB A52264 33 6 over over RP A52264 33 7 a a DT A52264 33 8 wide wide JJ A52264 33 9 variety variety NN A52264 33 10 of of IN A52264 33 11 subject subject JJ A52264 33 12 areas area NNS A52264 33 13 , , , A52264 33 14 to to TO A52264 33 15 reflect reflect VB A52264 33 16 the the DT A52264 33 17 true true JJ A52264 33 18 nature nature NN A52264 33 19 of of IN A52264 33 20 the the DT A52264 33 21 print print NN A52264 33 22 record record NN A52264 33 23 of of IN A52264 33 24 the the DT A52264 33 25 period period NN A52264 33 26 . . . A52264 34 1 In in IN A52264 34 2 general general JJ A52264 34 3 , , , A52264 34 4 first first JJ A52264 34 5 editions edition NNS A52264 34 6 of of IN A52264 34 7 a a DT A52264 34 8 works work NNS A52264 34 9 in in IN A52264 34 10 English English NNP A52264 34 11 were be VBD A52264 34 12 prioritized prioritize VBN A52264 34 13 , , , A52264 34 14 although although IN A52264 34 15 there there EX A52264 34 16 are be VBP A52264 34 17 a a DT A52264 34 18 number number NN A52264 34 19 of of IN A52264 34 20 works work NNS A52264 34 21 in in IN A52264 34 22 other other JJ A52264 34 23 languages language NNS A52264 34 24 , , , A52264 34 25 notably notably RB A52264 34 26 Latin Latin NNP A52264 34 27 and and CC A52264 34 28 Welsh Welsh NNP A52264 34 29 , , , A52264 34 30 included include VBD A52264 34 31 and and CC A52264 34 32 sometimes sometimes RB A52264 34 33 a a DT A52264 34 34 second second JJ A52264 34 35 or or CC A52264 34 36 later later JJ A52264 34 37 edition edition NN A52264 34 38 of of IN A52264 34 39 a a DT A52264 34 40 work work NN A52264 34 41 was be VBD A52264 34 42 chosen choose VBN A52264 34 43 if if IN A52264 34 44 there there EX A52264 34 45 was be VBD A52264 34 46 a a DT A52264 34 47 compelling compelling JJ A52264 34 48 reason reason NN A52264 34 49 to to TO A52264 34 50 do do VB A52264 34 51 so so RB A52264 34 52 . . . A52264 35 1 Image image NN A52264 35 2 sets set NNS A52264 35 3 were be VBD A52264 35 4 sent send VBN A52264 35 5 to to IN A52264 35 6 external external JJ A52264 35 7 keying keying NN A52264 35 8 companies company NNS A52264 35 9 for for IN A52264 35 10 transcription transcription NN A52264 35 11 and and CC A52264 35 12 basic basic JJ A52264 35 13 encoding encoding NN A52264 35 14 . . . A52264 36 1 Quality quality JJ A52264 36 2 assurance assurance NN A52264 36 3 was be VBD A52264 36 4 then then RB A52264 36 5 carried carry VBN A52264 36 6 out out RP A52264 36 7 by by IN A52264 36 8 editorial editorial JJ A52264 36 9 teams team NNS A52264 36 10 in in IN A52264 36 11 Oxford Oxford NNP A52264 36 12 and and CC A52264 36 13 Michigan Michigan NNP A52264 36 14 . . . A52264 37 1 5 5 CD A52264 37 2 % % NN A52264 37 3 ( ( -LRB- A52264 37 4 or or CC A52264 37 5 5 5 CD A52264 37 6 pages page NNS A52264 37 7 , , , A52264 37 8 whichever whichever WDT A52264 37 9 is be VBZ A52264 37 10 the the DT A52264 37 11 greater great JJR A52264 37 12 ) ) -RRB- A52264 37 13 of of IN A52264 37 14 each each DT A52264 37 15 text text NN A52264 37 16 was be VBD A52264 37 17 proofread proofread NN A52264 37 18 for for IN A52264 37 19 accuracy accuracy NN A52264 37 20 and and CC A52264 37 21 those those DT A52264 37 22 which which WDT A52264 37 23 did do VBD A52264 37 24 not not RB A52264 37 25 meet meet VB A52264 37 26 QA qa NN A52264 37 27 standards standard NNS A52264 37 28 were be VBD A52264 37 29 returned return VBN A52264 37 30 to to IN A52264 37 31 the the DT A52264 37 32 keyers keyer NNS A52264 37 33 to to TO A52264 37 34 be be VB A52264 37 35 redone redone NN A52264 37 36 . . . A52264 38 1 After after IN A52264 38 2 proofreading proofreading NN A52264 38 3 , , , A52264 38 4 the the DT A52264 38 5 encoding encoding NN A52264 38 6 was be VBD A52264 38 7 enhanced enhance VBN A52264 38 8 and/or and/or CC A52264 38 9 corrected correct VBD A52264 38 10 and and CC A52264 38 11 characters character NNS A52264 38 12 marked mark VBN A52264 38 13 as as IN A52264 38 14 illegible illegible JJ A52264 38 15 were be VBD A52264 38 16 corrected correct VBN A52264 38 17 where where WRB A52264 38 18 possible possible JJ A52264 38 19 up up IN A52264 38 20 to to IN A52264 38 21 a a DT A52264 38 22 limit limit NN A52264 38 23 of of IN A52264 38 24 100 100 CD A52264 38 25 instances instance NNS A52264 38 26 per per IN A52264 38 27 text text NN A52264 38 28 . . . A52264 39 1 Any any DT A52264 39 2 remaining remain VBG A52264 39 3 illegibles illegible NNS A52264 39 4 were be VBD A52264 39 5 encoded encode VBN A52264 39 6 as as IN A52264 39 7 < < XX A52264 39 8 gap gap NN A52264 39 9 > > XX A52264 39 10 s s XX A52264 39 11 . . . A52264 40 1 Understanding understand VBG A52264 40 2 these these DT A52264 40 3 processes process NNS A52264 40 4 should should MD A52264 40 5 make make VB A52264 40 6 clear clear JJ A52264 40 7 that that IN A52264 40 8 , , , A52264 40 9 while while IN A52264 40 10 the the DT A52264 40 11 overall overall JJ A52264 40 12 quality quality NN A52264 40 13 of of IN A52264 40 14 TCP TCP NNP A52264 40 15 data datum NNS A52264 40 16 is be VBZ A52264 40 17 very very RB A52264 40 18 good good JJ A52264 40 19 , , , A52264 40 20 some some DT A52264 40 21 errors error NNS A52264 40 22 will will MD A52264 40 23 remain remain VB A52264 40 24 and and CC A52264 40 25 some some DT A52264 40 26 readable readable JJ A52264 40 27 characters character NNS A52264 40 28 will will MD A52264 40 29 be be VB A52264 40 30 marked mark VBN A52264 40 31 as as IN A52264 40 32 illegible illegible JJ A52264 40 33 . . . A52264 41 1 Users user NNS A52264 41 2 should should MD A52264 41 3 bear bear VB A52264 41 4 in in IN A52264 41 5 mind mind NN A52264 41 6 that that IN A52264 41 7 in in IN A52264 41 8 all all DT A52264 41 9 likelihood likelihood NN A52264 41 10 such such JJ A52264 41 11 instances instance NNS A52264 41 12 will will MD A52264 41 13 never never RB A52264 41 14 have have VB A52264 41 15 been be VBN A52264 41 16 looked look VBN A52264 41 17 at at IN A52264 41 18 by by IN A52264 41 19 a a DT A52264 41 20 TCP TCP NNP A52264 41 21 editor editor NN A52264 41 22 . . . A52264 42 1 The the DT A52264 42 2 texts text NNS A52264 42 3 were be VBD A52264 42 4 encoded encode VBN A52264 42 5 and and CC A52264 42 6 linked link VBN A52264 42 7 to to IN A52264 42 8 page page NN A52264 42 9 images image NNS A52264 42 10 in in IN A52264 42 11 accordance accordance NN A52264 42 12 with with IN A52264 42 13 level level NN A52264 42 14 4 4 CD A52264 42 15 of of IN A52264 42 16 the the DT A52264 42 17 TEI TEI NNP A52264 42 18 in in IN A52264 42 19 Libraries Libraries NNP A52264 42 20 guidelines guideline NNS A52264 42 21 . . . A52264 43 1 Copies copy NNS A52264 43 2 of of IN A52264 43 3 the the DT A52264 43 4 texts text NNS A52264 43 5 have have VBP A52264 43 6 been be VBN A52264 43 7 issued issue VBN A52264 43 8 variously variously RB A52264 43 9 as as IN A52264 43 10 SGML SGML NNP A52264 43 11 ( ( -LRB- A52264 43 12 TCP TCP NNP A52264 43 13 schema schema NN A52264 43 14 ; ; : A52264 43 15 ASCII ASCII NNP A52264 43 16 text text NN A52264 43 17 with with IN A52264 43 18 mnemonic mnemonic NNP A52264 43 19 sdata sdata NNP A52264 43 20 character character NNP A52264 43 21 entities entity NNS A52264 43 22 ) ) -RRB- A52264 43 23 ; ; : A52264 43 24 displayable displayable JJ A52264 43 25 XML xml NN A52264 43 26 ( ( -LRB- A52264 43 27 TCP TCP NNP A52264 43 28 schema schema NN A52264 43 29 ; ; : A52264 43 30 characters character NNS A52264 43 31 represented represent VBD A52264 43 32 either either CC A52264 43 33 as as IN A52264 43 34 UTF-8 UTF-8 NNP A52264 43 35 Unicode Unicode NNP A52264 43 36 or or CC A52264 43 37 text text NN A52264 43 38 strings string NNS A52264 43 39 within within IN A52264 43 40 braces brace NNS A52264 43 41 ) ) -RRB- A52264 43 42 ; ; : A52264 43 43 or or CC A52264 43 44 lossless lossless JJ A52264 43 45 XML xml NN A52264 43 46 ( ( -LRB- A52264 43 47 TEI TEI NNP A52264 43 48 P5 P5 NNP A52264 43 49 , , , A52264 43 50 characters character NNS A52264 43 51 represented represent VBD A52264 43 52 either either CC A52264 43 53 as as IN A52264 43 54 UTF-8 UTF-8 NNP A52264 43 55 Unicode Unicode NNP A52264 43 56 or or CC A52264 43 57 TEI TEI NNP A52264 43 58 g g NN A52264 43 59 elements element NNS A52264 43 60 ) ) -RRB- A52264 43 61 . . . A52264 44 1 Keying keying NN A52264 44 2 and and CC A52264 44 3 markup markup NN A52264 44 4 guidelines guideline NNS A52264 44 5 are be VBP A52264 44 6 available available JJ A52264 44 7 at at IN A52264 44 8 the the DT A52264 44 9 Text Text NNP A52264 44 10 Creation Creation NNP A52264 44 11 Partnership Partnership NNP A52264 44 12 web web NN A52264 44 13 site site NN A52264 44 14 . . . A52264 45 1 eng eng NNP A52264 45 2 Geometry Geometry NNP A52264 45 3 -- -- : A52264 45 4 Early early RB A52264 45 5 works work NNS A52264 45 6 to to IN A52264 45 7 1800 1800 CD A52264 45 8 . . . A52264 46 1 Trigonometry Trigonometry NNP A52264 46 2 -- -- : A52264 46 3 Early early RB A52264 46 4 works work NNS A52264 46 5 to to IN A52264 46 6 1800 1800 CD A52264 46 7 . . . A52264 47 1 Logarithms Logarithms NNP A52264 47 2 . . . A52264 48 1 Mathematics mathematic NNS A52264 48 2 -- -- : A52264 48 3 Problems problem NNS A52264 48 4 , , , A52264 48 5 exercises exercise NNS A52264 48 6 , , , A52264 48 7 etc etc FW A52264 48 8 . . . A52264 49 1 2005 2005 CD A52264 49 2 - - SYM A52264 49 3 05 05 CD A52264 49 4 TCP TCP NNP A52264 49 5 Assigned assign VBN A52264 49 6 for for IN A52264 49 7 keying keying NN A52264 49 8 and and CC A52264 49 9 markup markup NNP A52264 49 10 2005 2005 CD A52264 49 11 - - SYM A52264 49 12 05 05 CD A52264 49 13 Aptara Aptara NNP A52264 49 14 Keyed Keyed NNP A52264 49 15 and and CC A52264 49 16 coded code VBN A52264 49 17 from from IN A52264 49 18 ProQuest ProQuest NNP A52264 49 19 page page NN A52264 49 20 images image NNS A52264 49 21 2005 2005 CD A52264 49 22 - - SYM A52264 49 23 06 06 CD A52264 49 24 Simon Simon NNP A52264 49 25 Charles Charles NNP A52264 49 26 Sampled Sampled NNP A52264 49 27 and and CC A52264 49 28 proofread proofread JJ A52264 49 29 2005 2005 CD A52264 49 30 - - SYM A52264 49 31 06 06 CD A52264 49 32 Simon Simon NNP A52264 49 33 Charles Charles NNP A52264 49 34 Text Text NNP A52264 49 35 and and CC A52264 49 36 markup markup NN A52264 49 37 reviewed review VBD A52264 49 38 and and CC A52264 49 39 edited edit VBD A52264 49 40 2005 2005 CD A52264 49 41 - - SYM A52264 49 42 10 10 CD A52264 49 43 pfs pfs NN A52264 49 44 Batch Batch NNP A52264 49 45 review review NN A52264 49 46 ( ( -LRB- A52264 49 47 QC QC NNP A52264 49 48 ) ) -RRB- A52264 49 49 and and CC A52264 49 50 XML xml NN A52264 49 51 conversion conversion NN A52264 49 52 Institutio Institutio NNP A52264 49 53 Mathematica Mathematica NNP A52264 49 54 . . . A52264 50 1 OR or CC A52264 50 2 , , , A52264 50 3 A a DT A52264 50 4 MATHEMATICAL MATHEMATICAL NNP A52264 50 5 Institution Institution NNP A52264 50 6 . . . A52264 51 1 Shewing shew VBG A52264 51 2 the the DT A52264 51 3 Construction Construction NNP A52264 51 4 and and CC A52264 51 5 Use Use NNP A52264 51 6 of of IN A52264 51 7 the the DT A52264 51 8 Naturall Naturall NNP A52264 51 9 and and CC A52264 51 10 Artificiall Artificiall NNP A52264 51 11 Sines Sines NNPS A52264 51 12 , , , A52264 51 13 Tangents Tangents NNP A52264 51 14 , , , A52264 51 15 and and CC A52264 51 16 Secants secant NNS A52264 51 17 , , , A52264 51 18 in in IN A52264 51 19 Decimal Decimal NNP A52264 51 20 Numbers Numbers NNP A52264 51 21 , , , A52264 51 22 and and CC A52264 51 23 also also RB A52264 51 24 of of IN A52264 51 25 the the DT A52264 51 26 Table table NN A52264 51 27 of of IN A52264 51 28 Logarithms Logarithms NNP A52264 51 29 . . . A52264 52 1 In in IN A52264 52 2 the the DT A52264 52 3 general general JJ A52264 52 4 solution solution NN A52264 52 5 of of IN A52264 52 6 any any DT A52264 52 7 Triangle Triangle NNP A52264 52 8 whether whether IN A52264 52 9 Plain Plain NNP A52264 52 10 or or CC A52264 52 11 Spherical spherical JJ A52264 52 12 . . . A52264 53 1 WITH with IN A52264 53 2 Their -PRON- PRP$ A52264 53 3 more more RBR A52264 53 4 particular particular JJ A52264 53 5 application application NN A52264 53 6 in in IN A52264 53 7 ASTRONOMIE ASTRONOMIE NNP A52264 53 8 , , , A52264 53 9 DIALLING DIALLING NNP A52264 53 10 , , , A52264 53 11 and and CC A52264 53 12 NAVIGATION NAVIGATION NNP A52264 53 13 . . . A52264 54 1 By by IN A52264 54 2 JOHN JOHN NNP A52264 54 3 NEWTON NEWTON NNP A52264 54 4 . . . A52264 55 1 LONDON LONDON NNP A52264 55 2 , , , A52264 55 3 Printed Printed NNP A52264 55 4 by by IN A52264 55 5 R. R. NNP A52264 55 6 & & CC A52264 55 7 W. W. NNP A52264 55 8 Leybourn Leybourn NNP A52264 55 9 , , , A52264 55 10 for for IN A52264 55 11 George George NNP A52264 55 12 Hurlock Hurlock NNP A52264 55 13 , , , A52264 55 14 at at IN A52264 55 15 Magnus Magnus NNP A52264 55 16 Church Church NNP A52264 55 17 corner corner NN A52264 55 18 , , , A52264 55 19 and and CC A52264 55 20 Robert Robert NNP A52264 55 21 Boydel Boydel NNP A52264 55 22 in in IN A52264 55 23 the the DT A52264 55 24 Bulwark Bulwark NNP A52264 55 25 neer neer NN A52264 55 26 the the DT A52264 55 27 Tower Tower NNP A52264 55 28 : : : A52264 55 29 MDCLIV MDCLIV NNP A52264 55 30 . . . A52264 56 1 TO to IN A52264 56 2 THE the DT A52264 56 3 COVRTEOVS COVRTEOVS NNP A52264 56 4 Reader reader NN A52264 56 5 . . . A52264 57 1 ALthough although IN A52264 57 2 Mathematicall Mathematicall NNP A52264 57 3 studies study NNS A52264 57 4 have have VBP A52264 57 5 for for IN A52264 57 6 these these DT A52264 57 7 many many JJ A52264 57 8 years year NNS A52264 57 9 been be VBN A52264 57 10 much much RB A52264 57 11 neglected neglect VBN A52264 57 12 , , , A52264 57 13 if if IN A52264 57 14 not not RB A52264 57 15 contemned contemn VBN A52264 57 16 , , , A52264 57 17 yet yet CC A52264 57 18 have have VBP A52264 57 19 there there EX A52264 57 20 been be VBN A52264 57 21 so so RB A52264 57 22 many many JJ A52264 57 23 rare rare JJ A52264 57 24 inventions invention NNS A52264 57 25 found find VBN A52264 57 26 , , , A52264 57 27 even even RB A52264 57 28 by by IN A52264 57 29 men man NNS A52264 57 30 of of IN A52264 57 31 our -PRON- PRP$ A52264 57 32 own own JJ A52264 57 33 Nation nation NN A52264 57 34 , , , A52264 57 35 that that IN A52264 57 36 nothing nothing NN A52264 57 37 now now RB A52264 57 38 seems seem VBZ A52264 57 39 almost almost RB A52264 57 40 possible possible JJ A52264 57 41 to to TO A52264 57 42 be be VB A52264 57 43 added add VBN A52264 57 44 more more RBR A52264 57 45 : : : A52264 57 46 as as IN A52264 57 47 in in IN A52264 57 48 other other JJ A52264 57 49 studies study NNS A52264 57 50 so so RB A52264 57 51 may may MD A52264 57 52 we -PRON- PRP A52264 57 53 say say VB A52264 57 54 in in IN A52264 57 55 these these DT A52264 57 56 , , , A52264 57 57 nil nil NNP A52264 57 58 dictum dictum JJ A52264 57 59 quod quod NN A52264 57 60 non non AFX A52264 57 61 dictum dictum JJ A52264 57 62 prius prius NN A52264 57 63 . . . A52264 58 1 We -PRON- PRP A52264 58 2 at at IN A52264 58 3 the the DT A52264 58 4 least least JJS A52264 58 5 must must MD A52264 58 6 needs needs VB A52264 58 7 acknowledge acknowledge VB A52264 58 8 that that IN A52264 58 9 in in IN A52264 58 10 this this DT A52264 58 11 we -PRON- PRP A52264 58 12 have have VBP A52264 58 13 presented present VBN A52264 58 14 thee thee PRP A52264 58 15 with with IN A52264 58 16 nothing nothing NN A52264 58 17 new new JJ A52264 58 18 , , , A52264 58 19 nothing nothing NN A52264 58 20 that that WDT A52264 58 21 is be VBZ A52264 58 22 our -PRON- PRP$ A52264 58 23 own own JJ A52264 58 24 . . . A52264 59 1 Ex Ex NNP A52264 59 2 integrâ integrâ NNP A52264 59 3 Graecâ Graecâ NNP A52264 59 4 integram integram NNP A52264 59 5 Comoediam Comoediam NNP A52264 59 6 , , , A52264 59 7 hodie hodie NNP A52264 59 8 sum sum NN A52264 59 9 acturus acturus NNP A52264 59 10 , , , A52264 59 11 Heautonti Heautonti NNP A52264 59 12 morum morum NN A52264 59 13 enon enon NN A52264 59 14 , , , A52264 59 15 saith saith JJ A52264 59 16 Terence Terence NNP A52264 59 17 , , , A52264 59 18 that that DT A52264 59 19 famous famous JJ A52264 59 20 Comoedian comoedian JJ A52264 59 21 : : : A52264 59 22 translation translation NN A52264 59 23 was be VBD A52264 59 24 his -PRON- PRP$ A52264 59 25 apologie apologie NN A52264 59 26 , , , A52264 59 27 transcription transcription NN A52264 59 28 and and CC A52264 59 29 collection collection NN A52264 59 30 ours our NNS A52264 59 31 : : : A52264 59 32 this this DT A52264 59 33 only only RB A52264 59 34 we -PRON- PRP A52264 59 35 have have VBP A52264 59 36 endeavoured endeavour VBN A52264 59 37 , , , A52264 59 38 that that IN A52264 59 39 the the DT A52264 59 40 first first JJ A52264 59 41 principles principle NNS A52264 59 42 and and CC A52264 59 43 foundations foundation NNS A52264 59 44 of of IN A52264 59 45 these these DT A52264 59 46 studies study NNS A52264 59 47 ( ( -LRB- A52264 59 48 which which WDT A52264 59 49 until until IN A52264 59 50 now now RB A52264 59 51 were be VBD A52264 59 52 not not RB A52264 59 53 to to TO A52264 59 54 be be VB A52264 59 55 known know VBN A52264 59 56 , , , A52264 59 57 but but CC A52264 59 58 by by IN A52264 59 59 being be VBG A52264 59 60 acquainted acquaint VBN A52264 59 61 with with IN A52264 59 62 many many JJ A52264 59 63 Books book NNS A52264 59 64 ) ) -RRB- A52264 59 65 might may MD A52264 59 66 in in IN A52264 59 67 a a DT A52264 59 68 due due JJ A52264 59 69 method method NN A52264 59 70 and and CC A52264 59 71 a a DT A52264 59 72 perspicuous perspicuous JJ A52264 59 73 manner manner NN A52264 59 74 , , , A52264 59 75 be be VB A52264 59 76 as as IN A52264 59 77 it -PRON- PRP A52264 59 78 were be VBD A52264 59 79 at at IN A52264 59 80 once once RB A52264 59 81 , , , A52264 59 82 presented present VBN A52264 59 83 to to IN A52264 59 84 thy thy PRP$ A52264 59 85 view view NN A52264 59 86 , , , A52264 59 87 and and CC A52264 59 88 serve serve VB A52264 59 89 as as IN A52264 59 90 a a DT A52264 59 91 perfect perfect JJ A52264 59 92 INSTITUTION institution NN A52264 59 93 MATHEMATICAL MATHEMATICAL NNP A52264 59 94 , , , A52264 59 95 unto unto RB A52264 59 96 such such JJ A52264 59 97 as as IN A52264 59 98 have have VBP A52264 59 99 as as RB A52264 59 100 yet yet RB A52264 59 101 learned learn VBN A52264 59 102 nothing nothing NN A52264 59 103 but but IN A52264 59 104 Arithmetick Arithmetick NNP A52264 59 105 . . . A52264 60 1 To to IN A52264 60 2 that that DT A52264 60 3 purpose purpose NN A52264 60 4 we -PRON- PRP A52264 60 5 have have VBP A52264 60 6 first first RB A52264 60 7 laid lay VBN A52264 60 8 down down RP A52264 60 9 such such JJ A52264 60 10 propositions proposition NNS A52264 60 11 Geometricall Geometricall NNP A52264 60 12 , , , A52264 60 13 out out IN A52264 60 14 of of IN A52264 60 15 Euclide Euclide NNP A52264 60 16 , , , A52264 60 17 Pitiscus Pitiscus NNP A52264 60 18 , , , A52264 60 19 and and CC A52264 60 20 others other NNS A52264 60 21 , , , A52264 60 22 as as IN A52264 60 23 must must MD A52264 60 24 be be VB A52264 60 25 known know VBN A52264 60 26 to to IN A52264 60 27 such such JJ A52264 60 28 as as IN A52264 60 29 would would MD A52264 60 30 understand understand VB A52264 60 31 the the DT A52264 60 32 nature nature NN A52264 60 33 and and CC A52264 60 34 mensuration mensuration NN A52264 60 35 of of IN A52264 60 36 all all DT A52264 60 37 Triangles triangle NNS A52264 60 38 . . . A52264 61 1 Next next RB A52264 61 2 we -PRON- PRP A52264 61 3 have have VBP A52264 61 4 proceeded proceed VBN A52264 61 5 to to IN A52264 61 6 the the DT A52264 61 7 affections affection NNS A52264 61 8 of of IN A52264 61 9 Triangles Triangles NNPS A52264 61 10 in in IN A52264 61 11 the the DT A52264 61 12 generall generall NN A52264 61 13 , , , A52264 61 14 and and CC A52264 61 15 thence thence NN A52264 61 16 to to IN A52264 61 17 the the DT A52264 61 18 composition composition NN A52264 61 19 of of IN A52264 61 20 the the DT A52264 61 21 Sines Sines NNPS A52264 61 22 , , , A52264 61 23 Tangents Tangents NNP A52264 61 24 , , , A52264 61 25 and and CC A52264 61 26 Secants Secants NNP A52264 61 27 Naturall Naturall NNP A52264 61 28 , , , A52264 61 29 in in IN A52264 61 30 which which WDT A52264 61 31 we -PRON- PRP A52264 61 32 have have VBP A52264 61 33 for for IN A52264 61 34 the the DT A52264 61 35 most most JJS A52264 61 36 part part NN A52264 61 37 followed follow VBD A52264 61 38 the the DT A52264 61 39 Rules Rules NNPS A52264 61 40 prescribed prescribe VBN A52264 61 41 by by IN A52264 61 42 Pitiscus Pitiscus NNP A52264 61 43 , , , A52264 61 44 in in IN A52264 61 45 some some DT A52264 61 46 things thing NNS A52264 61 47 we -PRON- PRP A52264 61 48 have have VBP A52264 61 49 taken take VBN A52264 61 50 the the DT A52264 61 51 direction direction NN A52264 61 52 of of IN A52264 61 53 Snellius Snellius NNP A52264 61 54 , , , A52264 61 55 and and CC A52264 61 56 in in IN A52264 61 57 the the DT A52264 61 58 trisection trisection NN A52264 61 59 and and CC A52264 61 60 quinquisection quinquisection NN A52264 61 61 of of IN A52264 61 62 an an DT A52264 61 63 angle angle NN A52264 61 64 we -PRON- PRP A52264 61 65 have have VBP A52264 61 66 proceeded proceed VBN A52264 61 67 Algebraically Algebraically NNP A52264 61 68 , , , A52264 61 69 with with IN A52264 61 70 those those DT A52264 61 71 two two CD A52264 61 72 famous famous JJ A52264 61 73 Mathematicians Mathematicians NNPS A52264 61 74 of of IN A52264 61 75 our -PRON- PRP$ A52264 61 76 age age NN A52264 61 77 and and CC A52264 61 78 Nation nation NN A52264 61 79 , , , A52264 61 80 Brigges Brigges NNP A52264 61 81 , , , A52264 61 82 and and CC A52264 61 83 Oughtred Oughtred NNP A52264 61 84 ; ; : A52264 61 85 and and CC A52264 61 86 because because IN A52264 61 87 the the DT A52264 61 88 Algebraicall Algebraicall NNP A52264 61 89 work work NN A52264 61 90 is be VBZ A52264 61 91 of of IN A52264 61 92 it -PRON- PRP A52264 61 93 selfe selfe VB A52264 61 94 abstruse abstruse NN A52264 61 95 and and CC A52264 61 96 intricate intricate JJ A52264 61 97 , , , A52264 61 98 to to IN A52264 61 99 those those DT A52264 61 100 that that WDT A52264 61 101 are be VBP A52264 61 102 not not RB A52264 61 103 acquainted acquaint VBN A52264 61 104 with with IN A52264 61 105 it -PRON- PRP A52264 61 106 , , , A52264 61 107 we -PRON- PRP A52264 61 108 have have VBP A52264 61 109 insisted insist VBN A52264 61 110 the the DT A52264 61 111 more more JJR A52264 61 112 upon upon IN A52264 61 113 it -PRON- PRP A52264 61 114 , , , A52264 61 115 and and CC A52264 61 116 by by IN A52264 61 117 our -PRON- PRP$ A52264 61 118 explanation explanation NN A52264 61 119 we -PRON- PRP A52264 61 120 have have VBP A52264 61 121 endeavoured endeavour VBN A52264 61 122 to to TO A52264 61 123 make make VB A52264 61 124 it -PRON- PRP A52264 61 125 plain plain JJ A52264 61 126 and and CC A52264 61 127 easie easie VB A52264 61 128 ; ; : A52264 61 129 and and CC A52264 61 130 that that IN A52264 61 131 nothing nothing NN A52264 61 132 may may MD A52264 61 133 be be VB A52264 61 134 wanting want VBG A52264 61 135 , , , A52264 61 136 which which WDT A52264 61 137 either either CC A52264 61 138 former former JJ A52264 61 139 ages age NNS A52264 61 140 or or CC A52264 61 141 our -PRON- PRP$ A52264 61 142 own own JJ A52264 61 143 ( ( -LRB- A52264 61 144 by by IN A52264 61 145 Gods Gods NNP A52264 61 146 blessing blessing NN A52264 61 147 and and CC A52264 61 148 their -PRON- PRP$ A52264 61 149 industry industry NN A52264 61 150 ) ) -RRB- A52264 61 151 have have VBP A52264 61 152 afforded afford VBN A52264 61 153 to to IN A52264 61 154 us -PRON- PRP A52264 61 155 , , , A52264 61 156 we -PRON- PRP A52264 61 157 have have VBP A52264 61 158 to to IN A52264 61 159 the the DT A52264 61 160 composition composition NN A52264 61 161 of of IN A52264 61 162 the the DT A52264 61 163 Natural Natural NNP A52264 61 164 Canon Canon NNP A52264 61 165 , , , A52264 61 166 added add VBD A52264 61 167 out out IN A52264 61 168 of of IN A52264 61 169 Briggs Briggs NNP A52264 61 170 and and CC A52264 61 171 Wintage wintage VB A52264 61 172 the the DT A52264 61 173 construction construction NN A52264 61 174 of of IN A52264 61 175 the the DT A52264 61 176 Logarithms Logarithms NNP A52264 61 177 of of IN A52264 61 178 any any DT A52264 61 179 numbers number NNS A52264 61 180 , , , A52264 61 181 and and CC A52264 61 182 consequently consequently RB A52264 61 183 how how WRB A52264 61 184 to to TO A52264 61 185 make make VB A52264 61 186 the the DT A52264 61 187 Logarithms Logarithms NNP A52264 61 188 of of IN A52264 61 189 the the DT A52264 61 190 Naturall Naturall NNP A52264 61 191 Sines Sines NNPS A52264 61 192 , , , A52264 61 193 Tangents Tangents NNP A52264 61 194 , , , A52264 61 195 and and CC A52264 61 196 Secants secant NNS A52264 61 197 . . . A52264 62 1 This this DT A52264 62 2 done do VBN A52264 62 3 , , , A52264 62 4 the the DT A52264 62 5 proportions proportion NNS A52264 62 6 in in IN A52264 62 7 the the DT A52264 62 8 usuall usuall JJ A52264 62 9 Cases case NNS A52264 62 10 of of IN A52264 62 11 all all DT A52264 62 12 Triangles Triangles NNPS A52264 62 13 both both CC A52264 62 14 Plain Plain NNP A52264 62 15 and and CC A52264 62 16 Sphericall Sphericall NNP A52264 62 17 , , , A52264 62 18 we -PRON- PRP A52264 62 19 have have VBP A52264 62 20 first first RB A52264 62 21 cleared clear VBN A52264 62 22 by by IN A52264 62 23 Demonstration demonstration NN A52264 62 24 out out IN A52264 62 25 of of IN A52264 62 26 Pitiscus Pitiscus NNP A52264 62 27 , , , A52264 62 28 Gelibrand Gelibrand NNP A52264 62 29 , , , A52264 62 30 Norwood Norwood NNP A52264 62 31 , , , A52264 62 32 and and CC A52264 62 33 others other NNS A52264 62 34 ; ; : A52264 62 35 and and CC A52264 62 36 then then RB A52264 62 37 explained explain VBD A52264 62 38 the the DT A52264 62 39 manner manner NN A52264 62 40 of of IN A52264 62 41 the the DT A52264 62 42 work work NN A52264 62 43 in in IN A52264 62 44 Natural Natural NNP A52264 62 45 and and CC A52264 62 46 Artificial Artificial NNP A52264 62 47 Numbers Numbers NNPS A52264 62 48 both both DT A52264 62 49 , , , A52264 62 50 and and CC A52264 62 51 so so RB A52264 62 52 conclude conclude VB A52264 62 53 the the DT A52264 62 54 first first JJ A52264 62 55 Part part NN A52264 62 56 of of IN A52264 62 57 our -PRON- PRP$ A52264 62 58 Institution Institution NNP A52264 62 59 . . . A52264 63 1 And and CC A52264 63 2 in in IN A52264 63 3 the the DT A52264 63 4 second second JJ A52264 63 5 Part part NN A52264 63 6 we -PRON- PRP A52264 63 7 have have VBP A52264 63 8 made make VBN A52264 63 9 our -PRON- PRP$ A52264 63 10 application application NN A52264 63 11 of of IN A52264 63 12 all all PDT A52264 63 13 the the DT A52264 63 14 former former JJ A52264 63 15 unto unto IN A52264 63 16 Astronomie Astronomie NNP A52264 63 17 first first RB A52264 63 18 , , , A52264 63 19 and and CC A52264 63 20 then then RB A52264 63 21 to to IN A52264 63 22 Dialling Dialling NNP A52264 63 23 and and CC A52264 63 24 Navigation Navigation NNP A52264 63 25 . . . A52264 64 1 In in IN A52264 64 2 our -PRON- PRP$ A52264 64 3 application application NN A52264 64 4 to to IN A52264 64 5 Astronomie Astronomie NNP A52264 64 6 , , , A52264 64 7 we -PRON- PRP A52264 64 8 have have VBP A52264 64 9 furnished furnish VBN A52264 64 10 you -PRON- PRP A52264 64 11 with with IN A52264 64 12 a a DT A52264 64 13 Table table NN A52264 64 14 of of IN A52264 64 15 the the DT A52264 64 16 Suns Suns NNPS A52264 64 17 Motion Motion NNP A52264 64 18 , , , A52264 64 19 whereby whereby WRB A52264 64 20 to to TO A52264 64 21 calculate calculate VB A52264 64 22 his -PRON- PRP$ A52264 64 23 place place NN A52264 64 24 in in IN A52264 64 25 the the DT A52264 64 26 Zodiac Zodiac NNP A52264 64 27 in in IN A52264 64 28 Decimal Decimal NNP A52264 64 29 numbers number NNS A52264 64 30 , , , A52264 64 31 and and CC A52264 64 32 without without IN A52264 64 33 which which WDT A52264 64 34 most most JJS A52264 64 35 of of IN A52264 64 36 the the DT A52264 64 37 other other JJ A52264 64 38 Problemes Problemes NNPS A52264 64 39 would would MD A52264 64 40 be be VB A52264 64 41 found find VBN A52264 64 42 ( ( -LRB- A52264 64 43 if if IN A52264 64 44 not not RB A52264 64 45 useless useless JJ A52264 64 46 ) ) -RRB- A52264 64 47 yet yet CC A52264 64 48 very very RB A52264 64 49 intricate intricate JJ A52264 64 50 and and CC A52264 64 51 obscure obscure JJ A52264 64 52 , , , A52264 64 53 that that RB A52264 64 54 being be VBG A52264 64 55 , , , A52264 64 56 for for IN A52264 64 57 the the DT A52264 64 58 most most JJS A52264 64 59 part part NN A52264 64 60 , , , A52264 64 61 one one CD A52264 64 62 of of IN A52264 64 63 the the DT A52264 64 64 three three CD A52264 64 65 terms term NNS A52264 64 66 supposed suppose VBN A52264 64 67 to to TO A52264 64 68 be be VB A52264 64 69 given give VBN A52264 64 70 in in IN A52264 64 71 Astronomical astronomical JJ A52264 64 72 computations computation NNS A52264 64 73 . . . A52264 65 1 In in IN A52264 65 2 the the DT A52264 65 3 Chapter chapter NN A52264 65 4 of of IN A52264 65 5 Dialling Dialling NNP A52264 65 6 , , , A52264 65 7 you -PRON- PRP A52264 65 8 have have VBP A52264 65 9 the the DT A52264 65 10 Sphears Sphears NNP A52264 65 11 projection projection NN A52264 65 12 , , , A52264 65 13 according accord VBG A52264 65 14 to to IN A52264 65 15 the the DT A52264 65 16 directions direction NNS A52264 65 17 of of IN A52264 65 18 Wels Wels NNPS A52264 65 19 , , , A52264 65 20 in in IN A52264 65 21 his -PRON- PRP$ A52264 65 22 Art art NN A52264 65 23 of of IN A52264 65 24 Shadows Shadows NNP A52264 65 25 , , , A52264 65 26 and and CC A52264 65 27 how how WRB A52264 65 28 to to TO A52264 65 29 draw draw VB A52264 65 30 the the DT A52264 65 31 houre houre NN A52264 65 32 - - HYPH A52264 65 33 lines line NNS A52264 65 34 of of IN A52264 65 35 all all PDT A52264 65 36 the the DT A52264 65 37 severall severall NNP A52264 65 38 Dials Dials NNPS A52264 65 39 which which WDT A52264 65 40 he -PRON- PRP A52264 65 41 hath hath VBP A52264 65 42 contrived contrive VBD A52264 65 43 from from IN A52264 65 44 thence thence NN A52264 65 45 , , , A52264 65 46 we -PRON- PRP A52264 65 47 have have VBP A52264 65 48 briefly briefly RB A52264 65 49 shewed shew VBN A52264 65 50 ; ; : A52264 65 51 and and CC A52264 65 52 in in IN A52264 65 53 the the DT A52264 65 54 finding finding NN A52264 65 55 of of IN A52264 65 56 all all PDT A52264 65 57 the the DT A52264 65 58 arches arch NNS A52264 65 59 in in IN A52264 65 60 these these DT A52264 65 61 Cases case NNS A52264 65 62 necessary necessary JJ A52264 65 63 , , , A52264 65 64 we -PRON- PRP A52264 65 65 have have VBP A52264 65 66 kept keep VBN A52264 65 67 our -PRON- PRP$ A52264 65 68 selves self NNS A52264 65 69 to to IN A52264 65 70 our -PRON- PRP$ A52264 65 71 own own JJ A52264 65 72 CANON CANON NNP A52264 65 73 , , , A52264 65 74 which which WDT A52264 65 75 doth doth NN A52264 65 76 exhibit exhibit NN A52264 65 77 the the DT A52264 65 78 degrees degree NNS A52264 65 79 of of IN A52264 65 80 the the DT A52264 65 81 Quadrant Quadrant NNP A52264 65 82 in in IN A52264 65 83 Centecimal Centecimal NNP A52264 65 84 parts part NNS A52264 65 85 or or CC A52264 65 86 minutes minute NNS A52264 65 87 . . . A52264 66 1 In in IN A52264 66 2 the the DT A52264 66 3 Chapter Chapter NNP A52264 66 4 of of IN A52264 66 5 Navigation Navigation NNP A52264 66 6 , , , A52264 66 7 you -PRON- PRP A52264 66 8 have have VBP A52264 66 9 first first RB A52264 66 10 the the DT A52264 66 11 division division NN A52264 66 12 of of IN A52264 66 13 the the DT A52264 66 14 Sea Sea NNP A52264 66 15 - - HYPH A52264 66 16 mans mans NNP A52264 66 17 Compasse Compasse NNP A52264 66 18 , , , A52264 66 19 next next IN A52264 66 20 the the DT A52264 66 21 description description NN A52264 66 22 and and CC A52264 66 23 making making NN A52264 66 24 of of IN A52264 66 25 the the DT A52264 66 26 Sea Sea NNP A52264 66 27 - - HYPH A52264 66 28 Chart Chart NNP A52264 66 29 , , , A52264 66 30 as as IN A52264 66 31 Edward Edward NNP A52264 66 32 Wright Wright NNP A52264 66 33 our -PRON- PRP$ A52264 66 34 worthy worthy JJ A52264 66 35 Countrey Countrey NNP A52264 66 36 - - HYPH A52264 66 37 man man NNP A52264 66 38 hath hath NNP A52264 66 39 given give VBN A52264 66 40 us -PRON- PRP A52264 66 41 the the DT A52264 66 42 Demonstration Demonstration NNP A52264 66 43 thereof thereof RB A52264 66 44 in in IN A52264 66 45 his -PRON- PRP$ A52264 66 46 Book Book NNP A52264 66 47 entituled entitule VBD A52264 66 48 , , , A52264 66 49 The the DT A52264 66 50 correction correction NN A52264 66 51 of of IN A52264 66 52 Errours Errours NNP A52264 66 53 in in IN A52264 66 54 Navigation Navigation NNP A52264 66 55 : : : A52264 66 56 to to IN A52264 66 57 these these DT A52264 66 58 we -PRON- PRP A52264 66 59 have have VBP A52264 66 60 added add VBN A52264 66 61 such such JJ A52264 66 62 other other JJ A52264 66 63 Problemes Problemes NNP A52264 66 64 as as IN A52264 66 65 are be VBP A52264 66 66 now now RB A52264 66 67 amongst amongst IN A52264 66 68 our -PRON- PRP$ A52264 66 69 Sea Sea NNP A52264 66 70 - - HYPH A52264 66 71 men man NNS A52264 66 72 of of IN A52264 66 73 most most JJS A52264 66 74 frequent frequent JJ A52264 66 75 use use NN A52264 66 76 ; ; , A52264 66 77 annexing annex VBG A52264 66 78 thereunto thereunto NNS A52264 66 79 a a DT A52264 66 80 Table table NN A52264 66 81 of of IN A52264 66 82 meridionall meridionall NN A52264 66 83 parts part NNS A52264 66 84 , , , A52264 66 85 and and CC A52264 66 86 other other JJ A52264 66 87 Tables Tables NNPS A52264 66 88 usefull usefull VBP A52264 66 89 as as RB A52264 66 90 well well RB A52264 66 91 in in IN A52264 66 92 Dialling Dialling NNP A52264 66 93 as as IN A52264 66 94 in in IN A52264 66 95 Navigation Navigation NNP A52264 66 96 , , , A52264 66 97 and and CC A52264 66 98 all all PDT A52264 66 99 these these DT A52264 66 100 in in IN A52264 66 101 Decimall Decimall NNP A52264 66 102 numbers number NNS A52264 66 103 , , , A52264 66 104 it -PRON- PRP A52264 66 105 being be VBG A52264 66 106 indeed indeed RB A52264 66 107 our -PRON- PRP$ A52264 66 108 aim aim NN A52264 66 109 ( ( -LRB- A52264 66 110 as as RB A52264 66 111 much much JJ A52264 66 112 as as IN A52264 66 113 in in IN A52264 66 114 us -PRON- PRP A52264 66 115 lieth lieth NNP A52264 66 116 ) ) -RRB- A52264 66 117 not not RB A52264 66 118 only only RB A52264 66 119 to to TO A52264 66 120 promote promote VB A52264 66 121 these these DT A52264 66 122 studies study NNS A52264 66 123 by by IN A52264 66 124 this this DT A52264 66 125 our -PRON- PRP$ A52264 66 126 Compendium Compendium NNP A52264 66 127 of of IN A52264 66 128 the the DT A52264 66 129 first first JJ A52264 66 130 rudiments rudiment NNS A52264 66 131 of of IN A52264 66 132 Mathematical mathematical JJ A52264 66 133 learning learning NN A52264 66 134 , , , A52264 66 135 as as IN A52264 66 136 in in IN A52264 66 137 relation relation NN A52264 66 138 to to IN A52264 66 139 the the DT A52264 66 140 matter matter NN A52264 66 141 therein therein RB A52264 66 142 to to TO A52264 66 143 be be VB A52264 66 144 considered consider VBN A52264 66 145 , , , A52264 66 146 but but CC A52264 66 147 by by IN A52264 66 148 such such JJ A52264 66 149 expeditious expeditious JJ A52264 66 150 and and CC A52264 66 151 advantagious advantagious JJ A52264 66 152 wayes waye NNS A52264 66 153 of of IN A52264 66 154 working working NN A52264 66 155 also also RB A52264 66 156 , , , A52264 66 157 as as IN A52264 66 158 have have VBP A52264 66 159 been be VBN A52264 66 160 lately lately RB A52264 66 161 found find VBN A52264 66 162 , , , A52264 66 163 or or CC A52264 66 164 former former JJ A52264 66 165 ages age NNS A52264 66 166 have have VBP A52264 66 167 commended commend VBN A52264 66 168 to to IN A52264 66 169 us -PRON- PRP A52264 66 170 ; ; : A52264 66 171 amongst amongst IN A52264 66 172 which which WDT A52264 66 173 there there EX A52264 66 174 is be VBZ A52264 66 175 none none NN A52264 66 176 more more RBR A52264 66 177 excellent excellent JJ A52264 66 178 then then RB A52264 66 179 that that DT A52264 66 180 which which WDT A52264 66 181 is be VBZ A52264 66 182 performed perform VBN A52264 66 183 by by IN A52264 66 184 Decimal decimal JJ A52264 66 185 numbers number NNS A52264 66 186 ; ; , A52264 66 187 fully fully RB A52264 66 188 to to TO A52264 66 189 explicate explicate VB A52264 66 190 the the DT A52264 66 191 manner manner NN A52264 66 192 and and CC A52264 66 193 worth worth JJ A52264 66 194 whereof whereof NNP A52264 66 195 were be VBD A52264 66 196 matter matter NN A52264 66 197 enough enough RB A52264 66 198 for for IN A52264 66 199 a a DT A52264 66 200 whole whole JJ A52264 66 201 Treatise Treatise NNP A52264 66 202 , , , A52264 66 203 and and CC A52264 66 204 therefore therefore RB A52264 66 205 not not RB A52264 66 206 to to TO A52264 66 207 be be VB A52264 66 208 expected expect VBN A52264 66 209 in in IN A52264 66 210 a a DT A52264 66 211 short short JJ A52264 66 212 Epistle Epistle NNP A52264 66 213 : : : A52264 66 214 It -PRON- PRP A52264 66 215 would would MD A52264 66 216 indeed indeed RB A52264 66 217 be be VB A52264 66 218 very very RB A52264 66 219 impertinent impertinent JJ A52264 66 220 to to TO A52264 66 221 intermeddle intermeddle VB A52264 66 222 any any RB A52264 66 223 further further RB A52264 66 224 with with IN A52264 66 225 it -PRON- PRP A52264 66 226 here here RB A52264 66 227 , , , A52264 66 228 then then RB A52264 66 229 in in IN A52264 66 230 our -PRON- PRP$ A52264 66 231 Institution Institution NNP A52264 66 232 it -PRON- PRP A52264 66 233 selfe selfe NN A52264 66 234 is be VBZ A52264 66 235 already already RB A52264 66 236 explained explain VBN A52264 66 237 , , , A52264 66 238 in in IN A52264 66 239 which which WDT A52264 66 240 thou thou NNP A52264 66 241 maist maist JJ A52264 66 242 perceive perceive NNP A52264 66 243 Addition Addition NNP A52264 66 244 and and CC A52264 66 245 Subtraction Subtraction NNP A52264 66 246 of of IN A52264 66 247 Degrees Degrees NNPS A52264 66 248 , , , A52264 66 249 Minutes Minutes NNPS A52264 66 250 , , , A52264 66 251 and and CC A52264 66 252 Seconds second NNS A52264 66 253 , , , A52264 66 254 to to TO A52264 66 255 be be VB A52264 66 256 performed perform VBN A52264 66 257 as as IN A52264 66 258 in in IN A52264 66 259 Vulgar vulgar JJ A52264 66 260 numbers number NNS A52264 66 261 , , , A52264 66 262 without without IN A52264 66 263 any any DT A52264 66 264 Reduction Reduction NNP A52264 66 265 to to IN A52264 66 266 their -PRON- PRP$ A52264 66 267 severall severall JJ A52264 66 268 Denominations Denominations NNPS A52264 66 269 , , , A52264 66 270 Multiplication Multiplication NNP A52264 66 271 is be VBZ A52264 66 272 performed perform VBN A52264 66 273 by by IN A52264 66 274 the the DT A52264 66 275 addition addition NN A52264 66 276 of of IN A52264 66 277 Cyphers Cyphers NNPS A52264 66 278 , , , A52264 66 279 and and CC A52264 66 280 Division division NN A52264 66 281 by by IN A52264 66 282 the the DT A52264 66 283 cutting cutting NN A52264 66 284 off off RP A52264 66 285 of of IN A52264 66 286 Figures figure NNS A52264 66 287 . . . 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A52264 68 1 John John NNP A52264 68 2 Newton Newton NNP A52264 68 3 . . . A52264 69 1 ERRATA ERRATA NNP A52264 69 2 . . . A52264 70 1 Page page NN A52264 70 2 Line line NN A52264 70 3     _SP A52264 70 4 6 6 CD A52264 70 5 25 25 CD A52264 70 6 Read Read VBN A52264 70 7 , , , A52264 70 8 or or CC A52264 70 9 termes terme NNS A52264 70 10 . . . A52264 71 1 17 17 CD A52264 71 2     _SP A52264 71 3 For for IN A52264 71 4 B. B. NNP A52264 72 1 9 9 CD A52264 72 2 A A NNP A52264 72 3 , , , A52264 72 4 r. r. NNP A52264 72 5 B. B. NNP A52264 73 1 9 9 CD A52264 73 2 C. C. NNP A52264 73 3 16 16 CD A52264 73 4 20 20 CD A52264 73 5 read read VBD A52264 73 6 , , , A52264 73 7 3 3 CD A52264 73 8 times time NNS A52264 73 9 6 6 CD A52264 73 10 is be VBZ A52264 73 11 18 18 CD A52264 73 12 . . . A52264 74 1 22 22 CD A52264 74 2 12 12 CD A52264 74 3 r. r. NN A52264 74 4 one one CD A52264 74 5 third third JJ A52264 74 6 22 22 CD A52264 74 7 25 25 CD A52264 74 8 r. r. 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NN A52264 79 4 of of IN A52264 79 5 120 120 CD A52264 79 6 degrees degree NNS A52264 79 7 . . . A52264 80 1 49 49 CD A52264 80 2 4 4 CD A52264 80 3 r. r. NN A52264 80 4 by by IN A52264 80 5 the the DT A52264 80 6 18 18 CD A52264 80 7 . . . A52264 81 1 55 55 CD A52264 81 2 10 10 CD A52264 81 3 r. r. NNP A52264 81 4 18 18 CD A52264 81 5 of of IN A52264 81 6 the the DT A52264 81 7 first first JJ A52264 81 8 . . . A52264 82 1 60 60 CD A52264 82 2 9 9 CD A52264 82 3 r. r. NN A52264 82 4 by by IN A52264 82 5 18 18 CD A52264 82 6 . . . A52264 83 1 69 69 CD A52264 83 2 20 20 CD A52264 83 3 r. r. NN A52264 83 4 77 77 CD A52264 83 5 16 16 CD A52264 83 6 r. r. NN A52264 83 7 147 147 CD A52264 83 8 . . . A52264 84 1 77 77 CD A52264 84 2 21 21 CD A52264 84 3 r. r. NN A52264 84 4 3913 3913 CD A52264 84 5 . . . A52264 85 1 77 77 CD A52264 85 2 22 22 CD A52264 85 3 r. r. NN A52264 85 4 206087 206087 CD A52264 85 5 . . . A52264 86 1 91 91 CD A52264 86 2 3 3 CD A52264 86 3 r. r. NN A52264 86 4 24986 24986 CD A52264 86 5 . . . A52264 87 1 108 108 CD A52264 87 2 1 1 CD A52264 87 3 r. r. NNP A52264 87 4 KP KP NNP A52264 87 5 . . . A52264 88 1 112 112 CD A52264 88 2 26 26 CD A52264 88 3 r. r. NN A52264 88 4 BD BD NNP A52264 88 5 156 156 CD A52264 88 6 6 6 CD A52264 88 7 r. r. NN A52264 88 8 BD BD NNP A52264 88 9 . . . A52264 89 1 7 7 CD A52264 89 2 r. r. NNP A52264 89 3 DF DF NNP A52264 89 4 . . . A52264 90 1 8 8 CD A52264 90 2 r. r. NNP A52264 90 3 BF BF NNP A52264 90 4 A A NNP A52264 90 5 MATHEMATICAL MATHEMATICAL NNP A52264 90 6 Institution Institution NNP A52264 90 7 . . . A52264 91 1 CHAP CHAP NNP A52264 91 2 . . . A52264 92 1 I. I. NNP A52264 92 2 Geometricall Geometricall NNP A52264 92 3 Definitions Definitions NNP A52264 92 4 . . . 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A52264 94 1 The the DT A52264 94 2 Science Science NNP A52264 94 3 of of IN A52264 94 4 Number Number NNP A52264 94 5 is be VBZ A52264 94 6 Arithmetick Arithmetick NNP A52264 94 7 , , , A52264 94 8 and and CC A52264 94 9 the the DT A52264 94 10 Science Science NNP A52264 94 11 of of IN A52264 94 12 Magnitude Magnitude NNP A52264 94 13 is be VBZ A52264 94 14 commonly commonly RB A52264 94 15 called call VBN A52264 94 16 Geometry Geometry NNP A52264 94 17 , , , A52264 94 18 but but CC A52264 94 19 may may MD A52264 94 20 more more RBR A52264 94 21 properly properly RB A52264 94 22 be be VB A52264 94 23 termed term VBN A52264 94 24 Megethelogia Megethelogia NNP A52264 94 25 , , , A52264 94 26 as as IN A52264 94 27 comprehending comprehend VBG A52264 94 28 all all DT A52264 94 29 Magnitudes Magnitudes NNPS A52264 94 30 whatsoever whatsoever RB A52264 94 31 , , , A52264 94 32 whereas whereas IN A52264 94 33 Geometry Geometry NNP A52264 94 34 , , , A52264 94 35 by by IN A52264 94 36 the the DT A52264 94 37 very very RB A52264 94 38 Etymologie etymologie NN A52264 94 39 of of IN A52264 94 40 the the DT A52264 94 41 word word NN A52264 94 42 , , , A52264 94 43 doth doth NNP A52264 94 44 seeme seeme NNP A52264 94 45 to to TO A52264 94 46 confine confine VB A52264 94 47 this this DT A52264 94 48 Science Science NNP A52264 94 49 to to IN A52264 94 50 Land land NN A52264 94 51 - - HYPH A52264 94 52 measuring measure VBG A52264 94 53 only only RB A52264 94 54 . . . A52264 95 1 Of of IN A52264 95 2 this this DT A52264 95 3 Megethelogia Megethelogia NNP A52264 95 4 Geometry Geometry NNP A52264 95 5 , , , A52264 95 6 or or CC A52264 95 7 Science Science NNP A52264 95 8 of of IN A52264 95 9 Magnitudes Magnitudes NNPS A52264 95 10 , , , A52264 95 11 we -PRON- PRP A52264 95 12 will will MD A52264 95 13 set set VB A52264 95 14 down down RP A52264 95 15 such such JJ A52264 95 16 grounds ground NNS A52264 95 17 and and CC A52264 95 18 principles principle NNS A52264 95 19 as as IN A52264 95 20 are be VBP A52264 95 21 necessary necessary JJ A52264 95 22 to to TO A52264 95 23 be be VB A52264 95 24 known know VBN A52264 95 25 , , , A52264 95 26 for for IN A52264 95 27 the the DT A52264 95 28 better well JJR A52264 95 29 understanding understanding NN A52264 95 30 of of IN A52264 95 31 that that DT A52264 95 32 which which WDT A52264 95 33 follows follow VBZ A52264 95 34 , , , A52264 95 35 presuming presume VBG A52264 95 36 that that IN A52264 95 37 the the DT A52264 95 38 reader reader NN A52264 95 39 hereof hereof NNP A52264 95 40 hath hath NNP A52264 95 41 already already RB A52264 95 42 gotten get VBN A52264 95 43 some some DT A52264 95 44 competent competent JJ A52264 95 45 knowledge knowledge NN A52264 95 46 in in IN A52264 95 47 Arithmetick Arithmetick NNP A52264 95 48 . . . A52264 96 1 Concerning concern VBG A52264 96 2 then then RB A52264 96 3 this this DT A52264 96 4 Science Science NNP A52264 96 5 of of IN A52264 96 6 Magnitude Magnitude NNP A52264 96 7 , , , A52264 96 8 two two CD A52264 96 9 things thing NNS A52264 96 10 are be VBP A52264 96 11 to to TO A52264 96 12 be be VB A52264 96 13 considered consider VBN A52264 96 14 : : : A52264 96 15 First first RB A52264 96 16 , , , A52264 96 17 the the DT A52264 96 18 severall severall JJS A52264 96 19 heads head NNS A52264 96 20 to to TO A52264 96 21 which which WDT A52264 96 22 all all DT A52264 96 23 Magnitudes magnitude NNS A52264 96 24 may may MD A52264 96 25 be be VB A52264 96 26 referred refer VBN A52264 96 27 : : : A52264 96 28 And and CC A52264 96 29 then then RB A52264 96 30 secondly secondly RB A52264 96 31 , , , A52264 96 32 the the DT A52264 96 33 terms term NNS A52264 96 34 and and CC A52264 96 35 limits limit NNS A52264 96 36 of of IN A52264 96 37 those those DT A52264 96 38 Magnitudes magnitude NNS A52264 96 39 . . . A52264 97 1 All all DT A52264 97 2 Magnitudes Magnitudes NNPS A52264 97 3 are be VBP A52264 97 4 either either DT A52264 97 5 Lines line NNS A52264 97 6 , , , A52264 97 7 Plains Plains NNPS A52264 97 8 , , , A52264 97 9 or or CC A52264 97 10 Solids solid NNS A52264 97 11 , , , A52264 97 12 and and CC A52264 97 13 do do VB A52264 97 14 participate participate VB A52264 97 15 of of IN A52264 97 16 Length Length NNP A52264 97 17 , , , A52264 97 18 Breadth Breadth NNP A52264 97 19 , , , A52264 97 20 or or CC A52264 97 21 Thicknesse Thicknesse NNP A52264 97 22 . . . A52264 98 1 1 1 LS A52264 98 2 . . . A52264 99 1 A a DT A52264 99 2 Line line NN A52264 99 3 is be VBZ A52264 99 4 a a DT A52264 99 5 supposed suppose VBN A52264 99 6 length length NN A52264 99 7 , , , A52264 99 8 or or CC A52264 99 9 a a DT A52264 99 10 thing thing NN A52264 99 11 extending extend VBG A52264 99 12 it -PRON- PRP A52264 99 13 self self NN A52264 99 14 in in IN A52264 99 15 length length NN A52264 99 16 , , , A52264 99 17 without without IN A52264 99 18 breadth breadth NN A52264 99 19 or or CC A52264 99 20 thickness thickness NN A52264 99 21 , , , A52264 99 22 whether whether IN A52264 99 23 it -PRON- PRP A52264 99 24 be be VB A52264 99 25 a a DT A52264 99 26 right right JJ A52264 99 27 line line NN A52264 99 28 or or CC A52264 99 29 a a DT A52264 99 30 crooked crooked JJ A52264 99 31 ; ; : A52264 99 32 and and CC A52264 99 33 may may MD A52264 99 34 be be VB A52264 99 35 divided divide VBN A52264 99 36 into into IN A52264 99 37 parts part NNS A52264 99 38 in in IN A52264 99 39 respect respect NN A52264 99 40 of of IN A52264 99 41 his -PRON- PRP$ A52264 99 42 length length NN A52264 99 43 , , , A52264 99 44 but but CC A52264 99 45 admitteth admitteth JJ A52264 99 46 no no DT A52264 99 47 other other JJ A52264 99 48 division division NN A52264 99 49 : : : A52264 99 50 as as IN A52264 99 51 the the DT A52264 99 52 line line NN A52264 99 53 AB ab NN A52264 99 54 . . . A52264 100 1 2 2 LS A52264 100 2 . . . A52264 101 1 The the DT A52264 101 2 ends end NNS A52264 101 3 or or CC A52264 101 4 limits limit NNS A52264 101 5 of of IN A52264 101 6 a a DT A52264 101 7 line line NN A52264 101 8 are be VBP A52264 101 9 points point NNS A52264 101 10 , , , A52264 101 11 as as IN A52264 101 12 having have VBG A52264 101 13 his -PRON- PRP$ A52264 101 14 beginning beginning NN A52264 101 15 from from IN A52264 101 16 a a DT A52264 101 17 point point NN A52264 101 18 , , , A52264 101 19 and and CC A52264 101 20 ending end VBG A52264 101 21 in in IN A52264 101 22 a a DT A52264 101 23 point point NN A52264 101 24 , , , A52264 101 25 and and CC A52264 101 26 therefore therefore RB A52264 101 27 a a DT A52264 101 28 Point Point NNP A52264 101 29 hath hath NN A52264 101 30 neither neither CC A52264 101 31 part part NN A52264 101 32 nor nor CC A52264 101 33 quantity quantity NN A52264 101 34 , , , A52264 101 35 it -PRON- PRP A52264 101 36 is be VBZ A52264 101 37 only only RB A52264 101 38 the the DT A52264 101 39 term term NN A52264 101 40 or or CC A52264 101 41 end end NN A52264 101 42 of of IN A52264 101 43 quantity quantity NN A52264 101 44 , , , A52264 101 45 as as IN A52264 101 46 the the DT A52264 101 47 points point NNS A52264 101 48 A A NNP A52264 101 49 and and CC A52264 101 50 B b NN A52264 101 51 are be VBP A52264 101 52 the the DT A52264 101 53 ends end NNS A52264 101 54 of of IN A52264 101 55 the the DT A52264 101 56 aforesaid aforesaid JJ A52264 101 57 line line NN A52264 101 58 AB AB NNP A52264 101 59 , , , A52264 101 60 and and CC A52264 101 61 no no DT A52264 101 62 parts part NNS A52264 101 63 thereof thereof RB A52264 101 64 . . . A52264 102 1 3 3 LS A52264 102 2 . . . A52264 103 1 A a DT A52264 103 2 Plain Plain NNP A52264 103 3 or or CC A52264 103 4 Superficies Superficies NNPS A52264 103 5 is be VBZ A52264 103 6 the the DT A52264 103 7 second second JJ A52264 103 8 kind kind NN A52264 103 9 of of IN A52264 103 10 magnitude magnitude NN A52264 103 11 , , , A52264 103 12 to to TO A52264 103 13 which which WDT A52264 103 14 belongeth belongeth JJ A52264 103 15 two two CD A52264 103 16 dimensions dimension NNS A52264 103 17 , , , A52264 103 18 length length NN A52264 103 19 , , , A52264 103 20 and and CC A52264 103 21 breadth breadth NN A52264 103 22 , , , A52264 103 23 but but CC A52264 103 24 not not RB A52264 103 25 thickness thickness NN A52264 103 26 . . . A52264 104 1 4 4 LS A52264 104 2 . . . A52264 105 1 As as IN A52264 105 2 the the DT A52264 105 3 ends end NNS A52264 105 4 , , , A52264 105 5 limits limit NNS A52264 105 6 or or CC A52264 105 7 bounds bound NNS A52264 105 8 of of IN A52264 105 9 a a DT A52264 105 10 line line NN A52264 105 11 are be VBP A52264 105 12 points point NNS A52264 105 13 confining confine VBG A52264 105 14 the the DT A52264 105 15 line line NN A52264 105 16 , , , A52264 105 17 so so RB A52264 105 18 are be VBP A52264 105 19 lines line NNS A52264 105 20 the the DT A52264 105 21 limits limit NNS A52264 105 22 , , , A52264 105 23 bounds bound NNS A52264 105 24 and and CC A52264 105 25 ends end VBZ A52264 105 26 inclosing inclose VBG A52264 105 27 a a DT A52264 105 28 Superficies superficie NNS A52264 105 29 ; ; : A52264 105 30 as as IN A52264 105 31 in in IN A52264 105 32 the the DT A52264 105 33 figure figure NN A52264 105 34 you -PRON- PRP A52264 105 35 may may MD A52264 105 36 see see VB A52264 105 37 the the DT A52264 105 38 plain plain NN A52264 105 39 or or CC A52264 105 40 Superficies superficie NNS A52264 105 41 here here RB A52264 105 42 inclosed inclose VBD A52264 105 43 with with IN A52264 105 44 four four CD A52264 105 45 lines line NNS A52264 105 46 , , , A52264 105 47 which which WDT A52264 105 48 are be VBP A52264 105 49 the the DT A52264 105 50 extreams extream NNS A52264 105 51 or or CC A52264 105 52 limits limit NNS A52264 105 53 thereof thereof RB A52264 105 54 . . . A52264 106 1 5 5 CD A52264 106 2 . . . A52264 107 1 A a DT A52264 107 2 Body body NN A52264 107 3 or or CC A52264 107 4 Solid Solid NNP A52264 107 5 is be VBZ A52264 107 6 the the DT A52264 107 7 third third JJ A52264 107 8 kinde kinde NNP A52264 107 9 of of IN A52264 107 10 magnitude magnitude NNP A52264 107 11 , , , A52264 107 12 and and CC A52264 107 13 hath hath NNP A52264 107 14 three three CD A52264 107 15 dimensions dimension NNS A52264 107 16 belonging belong VBG A52264 107 17 to to IN A52264 107 18 it -PRON- PRP A52264 107 19 , , , A52264 107 20 length length NN A52264 107 21 , , , A52264 107 22 breadth breadth NN A52264 107 23 , , , A52264 107 24 and and CC A52264 107 25 thickness thickness NN A52264 107 26 . . . A52264 108 1 And and CC A52264 108 2 as as IN A52264 108 3 a a DT A52264 108 4 point point NN A52264 108 5 is be VBZ A52264 108 6 the the DT A52264 108 7 limit limit NN A52264 108 8 or or CC A52264 108 9 term term NN A52264 108 10 of of IN A52264 108 11 a a DT A52264 108 12 line line NN A52264 108 13 , , , A52264 108 14 and and CC A52264 108 15 a a DT A52264 108 16 line line NN A52264 108 17 the the DT A52264 108 18 limit limit NN A52264 108 19 or or CC A52264 108 20 term term NN A52264 108 21 of of IN A52264 108 22 a a DT A52264 108 23 Superficies Superficies NNPS A52264 108 24 , , , A52264 108 25 so so RB A52264 108 26 likewise likewise RB A52264 108 27 a a DT A52264 108 28 Superficies superficie NNS A52264 108 29 is be VBZ A52264 108 30 the the DT A52264 108 31 end end NN A52264 108 32 or or CC A52264 108 33 limit limit NN A52264 108 34 of of IN A52264 108 35 a a DT A52264 108 36 Body Body NNP A52264 108 37 or or CC A52264 108 38 Solid Solid NNP A52264 108 39 , , , A52264 108 40 and and CC A52264 108 41 representeth representeth VB A52264 108 42 to to IN A52264 108 43 the the DT A52264 108 44 eye eye NN A52264 108 45 the the DT A52264 108 46 shape shape NN A52264 108 47 or or CC A52264 108 48 figure figure VB A52264 108 49 thereof thereof RB A52264 108 50 . . . A52264 109 1 6 6 CD A52264 109 2 . . . A52264 110 1 A a DT A52264 110 2 Figure figure NN A52264 110 3 is be VBZ A52264 110 4 that that DT A52264 110 5 which which WDT A52264 110 6 is be VBZ A52264 110 7 contained contain VBN A52264 110 8 under under IN A52264 110 9 one one CD A52264 110 10 or or CC A52264 110 11 many many JJ A52264 110 12 limits limit NNS A52264 110 13 , , , A52264 110 14 Under under IN A52264 110 15 one one CD A52264 110 16 bound bound NN A52264 110 17 or or CC A52264 110 18 limit limit NN A52264 110 19 is be VBZ A52264 110 20 comprehended comprehend VBN A52264 110 21 a a DT A52264 110 22 Circle Circle NNP A52264 110 23 , , , A52264 110 24 and and CC A52264 110 25 all all DT A52264 110 26 other other JJ A52264 110 27 figures figure NNS A52264 110 28 under under IN A52264 110 29 many many JJ A52264 110 30 . . . A52264 111 1 7 7 LS A52264 111 2 . . . A52264 112 1 A a DT A52264 112 2 Circle Circle NNP A52264 112 3 is be VBZ A52264 112 4 a a DT A52264 112 5 plain plain JJ A52264 112 6 figure figure NN A52264 112 7 contained contain VBN A52264 112 8 under under IN A52264 112 9 one one CD A52264 112 10 round round JJ A52264 112 11 line line NN A52264 112 12 , , , A52264 112 13 which which WDT A52264 112 14 is be VBZ A52264 112 15 called call VBN A52264 112 16 a a DT A52264 112 17 circumference circumference NN A52264 112 18 , , , A52264 112 19 as as IN A52264 112 20 in in IN A52264 112 21 the the DT A52264 112 22 Figure figure NN A52264 112 23 following following NN A52264 112 24 , , , A52264 112 25 the the DT A52264 112 26 Ring Ring NNP A52264 112 27 CBDE CBDE NNP A52264 112 28 is be VBZ A52264 112 29 called call VBN A52264 112 30 the the DT A52264 112 31 circumference circumference NN A52264 112 32 of of IN A52264 112 33 that that DT A52264 112 34 Circle Circle NNP A52264 112 35 . . . A52264 113 1 8 8 LS A52264 113 2 . . . A52264 114 1 The the DT A52264 114 2 Center Center NNP A52264 114 3 of of IN A52264 114 4 a a DT A52264 114 5 Circle Circle NNP A52264 114 6 is be VBZ A52264 114 7 that that DT A52264 114 8 point point NN A52264 114 9 which which WDT A52264 114 10 is be VBZ A52264 114 11 in in IN A52264 114 12 the the DT A52264 114 13 midst midst NN A52264 114 14 thereof thereof RB A52264 114 15 , , , A52264 114 16 from from IN A52264 114 17 which which WDT A52264 114 18 point point NN A52264 114 19 , , , A52264 114 20 all all DT A52264 114 21 right right JJ A52264 114 22 lines line NNS A52264 114 23 drawn draw VBN A52264 114 24 to to IN A52264 114 25 the the DT A52264 114 26 circumference circumference NN A52264 114 27 are be VBP A52264 114 28 equal equal JJ A52264 114 29 the the DT A52264 114 30 one one NN A52264 114 31 to to IN A52264 114 32 the the DT A52264 114 33 other other JJ A52264 114 34 ; ; : A52264 114 35 as as IN A52264 114 36 in in IN A52264 114 37 the the DT A52264 114 38 following following JJ A52264 114 39 figure figure NN A52264 114 40 , , , A52264 114 41 the the DT A52264 114 42 lines line NNS A52264 114 43 AB AB NNP A52264 114 44 , , , A52264 114 45 AC AC NNP A52264 114 46 , , , A52264 114 47 AD ad NN A52264 114 48 , , , A52264 114 49 and and CC A52264 114 50 AE AE NNP A52264 114 51 , , , A52264 114 52 are be VBP A52264 114 53 equal equal JJ A52264 114 54 . . . A52264 115 1 9 9 CD A52264 115 2 . . . A52264 116 1 The the DT A52264 116 2 Diameter Diameter NNP A52264 116 3 of of IN A52264 116 4 a a DT A52264 116 5 Circle Circle NNP A52264 116 6 , , , A52264 116 7 is be VBZ A52264 116 8 a a DT A52264 116 9 right right JJ A52264 116 10 line line NN A52264 116 11 drawn draw VBN A52264 116 12 through through IN A52264 116 13 the the DT A52264 116 14 center center NN A52264 116 15 thereof thereof RB A52264 116 16 , , , A52264 116 17 and and CC A52264 116 18 ending end VBG A52264 116 19 at at IN A52264 116 20 the the DT A52264 116 21 circumference circumference NN A52264 116 22 on on IN A52264 116 23 either either DT A52264 116 24 side side NN A52264 116 25 , , , A52264 116 26 dividing divide VBG A52264 116 27 the the DT A52264 116 28 Circle Circle NNP A52264 116 29 into into IN A52264 116 30 two two CD A52264 116 31 equal equal JJ A52264 116 32 parts part NNS A52264 116 33 , , , A52264 116 34 as as IN A52264 116 35 the the DT A52264 116 36 lines line NNS A52264 116 37 CAD CAD NNP A52264 116 38 and and CC A52264 116 39 BAE BAE NNP A52264 116 40 , , , A52264 116 41 are be VBP A52264 116 42 either either DT A52264 116 43 of of IN A52264 116 44 them -PRON- PRP A52264 116 45 the the DT A52264 116 46 diameter diameter NN A52264 116 47 of of IN A52264 116 48 the the DT A52264 116 49 Circle Circle NNP A52264 116 50 BCDE BCDE NNP A52264 116 51 , , , A52264 116 52 because because IN A52264 116 53 that that IN A52264 116 54 either either DT A52264 116 55 of of IN A52264 116 56 them -PRON- PRP A52264 116 57 doth doth JJ A52264 116 58 passe passe NN A52264 116 59 through through IN A52264 116 60 the the DT A52264 116 61 center center NN A52264 116 62 A a NN A52264 116 63 , , , A52264 116 64 and and CC A52264 116 65 divideth divideth VB A52264 116 66 the the DT A52264 116 67 whole whole JJ A52264 116 68 Circle Circle NNP A52264 116 69 into into IN A52264 116 70 two two CD A52264 116 71 equal equal JJ A52264 116 72 parts part NNS A52264 116 73 . . . A52264 117 1 10 10 CD A52264 117 2 . . . A52264 118 1 The the DT A52264 118 2 Semidiameter Semidiameter NNP A52264 118 3 of of IN A52264 118 4 a a DT A52264 118 5 Circle Circle NNP A52264 118 6 is be VBZ A52264 118 7 half half PDT A52264 118 8 the the DT A52264 118 9 Diameter Diameter NNP A52264 118 10 , , , A52264 118 11 and and CC A52264 118 12 is be VBZ A52264 118 13 contained contain VBN A52264 118 14 betwixt betwixt NNP A52264 118 15 the the DT A52264 118 16 center center NN A52264 118 17 and and CC A52264 118 18 one one CD A52264 118 19 side side NN A52264 118 20 of of IN A52264 118 21 the the DT A52264 118 22 Circle Circle NNP A52264 118 23 ; ; : A52264 118 24 as as IN A52264 118 25 the the DT A52264 118 26 lines line NNS A52264 118 27 AB AB NNP A52264 118 28 , , , A52264 118 29 AC AC NNP A52264 118 30 , , , A52264 118 31 AD ad NN A52264 118 32 , , , A52264 118 33 and and CC A52264 118 34 AE AE NNP A52264 118 35 , , , A52264 118 36 are be VBP A52264 118 37 either either DT A52264 118 38 of of IN A52264 118 39 them -PRON- PRP A52264 118 40 the the DT A52264 118 41 Semidiameters Semidiameters NNPS A52264 118 42 of of IN A52264 118 43 the the DT A52264 118 44 Circle Circle NNP A52264 118 45 CBDE CBDE NNP A52264 118 46 . . . A52264 119 1 11 11 CD A52264 119 2 . . . A52264 120 1 A a DT A52264 120 2 Semicircle Semicircle NNP A52264 120 3 is be VBZ A52264 120 4 the the DT A52264 120 5 one one CD A52264 120 6 halfe halfe NN A52264 120 7 of of IN A52264 120 8 a a DT A52264 120 9 Circle Circle NNP A52264 120 10 drawn draw VBN A52264 120 11 upon upon IN A52264 120 12 his -PRON- PRP$ A52264 120 13 Diameter Diameter NNP A52264 120 14 , , , A52264 120 15 and and CC A52264 120 16 is be VBZ A52264 120 17 contained contain VBN A52264 120 18 by by IN A52264 120 19 the the DT A52264 120 20 half half NN A52264 120 21 circumference circumference NN A52264 120 22 and and CC A52264 120 23 the the DT A52264 120 24 Diameter Diameter NNP A52264 120 25 ; ; : A52264 120 26 as as IN A52264 120 27 the the DT A52264 120 28 Semicircle Semicircle NNP A52264 120 29 CBD cbd NN A52264 120 30 is be VBZ A52264 120 31 halfe halfe NN A52264 120 32 the the DT A52264 120 33 Circle Circle NNP A52264 120 34 CBDE CBDE NNP A52264 120 35 , , , A52264 120 36 and and CC A52264 120 37 contained contain VBN A52264 120 38 above above IN A52264 120 39 the the DT A52264 120 40 Diameter Diameter NNP A52264 120 41 CAD CAD NNP A52264 120 42 . . . A52264 121 1 12 12 CD A52264 121 2 . . . A52264 122 1 A a DT A52264 122 2 Quadrant Quadrant NNP A52264 122 3 is be VBZ A52264 122 4 the the DT A52264 122 5 fourth fourth JJ A52264 122 6 part part NN A52264 122 7 of of IN A52264 122 8 a a DT A52264 122 9 Circle Circle NNP A52264 122 10 , , , A52264 122 11 and and CC A52264 122 12 is be VBZ A52264 122 13 contained contain VBN A52264 122 14 betwixt betwixt NNP A52264 122 15 the the DT A52264 122 16 Semidiameter Semidiameter NNP A52264 122 17 of of IN A52264 122 18 the the DT A52264 122 19 Circle Circle NNP A52264 122 20 , , , A52264 122 21 and and CC A52264 122 22 a a DT A52264 122 23 line line NN A52264 122 24 drawn draw VBN A52264 122 25 perpendicular perpendicular JJ A52264 122 26 unto unto IN A52264 122 27 the the DT A52264 122 28 Diameter Diameter NNP A52264 122 29 of of IN A52264 122 30 the the DT A52264 122 31 same same JJ A52264 122 32 Circle Circle NNP A52264 122 33 , , , A52264 122 34 from from IN A52264 122 35 the the DT A52264 122 36 center center NN A52264 122 37 thereof thereof RB A52264 122 38 , , , A52264 122 39 dividing divide VBG A52264 122 40 the the DT A52264 122 41 Semicircle Semicircle NNP A52264 122 42 into into IN A52264 122 43 two two CD A52264 122 44 equal equal JJ A52264 122 45 parts part NNS A52264 122 46 , , , A52264 122 47 of of IN A52264 122 48 the the DT A52264 122 49 which which WDT A52264 122 50 parts part VBZ A52264 122 51 the the DT A52264 122 52 one one NN A52264 122 53 is be VBZ A52264 122 54 the the DT A52264 122 55 Quadrant quadrant JJ A52264 122 56 or or CC A52264 122 57 fourth fourth JJ A52264 122 58 part part NN A52264 122 59 of of IN A52264 122 60 the the DT A52264 122 61 same same JJ A52264 122 62 Circle Circle NNP A52264 122 63 . . . A52264 123 1 Thus thus RB A52264 123 2 , , , A52264 123 3 the the DT A52264 123 4 Diameter Diameter NNP A52264 123 5 of of IN A52264 123 6 the the DT A52264 123 7 Circle Circle NNP A52264 123 8 BDEC BDEC NNP A52264 123 9 is be VBZ A52264 123 10 the the DT A52264 123 11 line line NN A52264 123 12 CAD CAD NNP A52264 123 13 , , , A52264 123 14 dividing divide VBG A52264 123 15 the the DT A52264 123 16 Circle Circle NNP A52264 123 17 into into IN A52264 123 18 two two CD A52264 123 19 equal equal JJ A52264 123 20 parts part NNS A52264 123 21 , , , A52264 123 22 then then RB A52264 123 23 from from IN A52264 123 24 the the DT A52264 123 25 center center NN A52264 123 26 A a DT A52264 123 27 raise raise NN A52264 123 28 the the DT A52264 123 29 perpendicular perpendicular JJ A52264 123 30 AB AB NNP A52264 123 31 , , , A52264 123 32 dividing divide VBG A52264 123 33 the the DT A52264 123 34 Semicircle Semicircle NNP A52264 123 35 likewise likewise RB A52264 123 36 into into IN A52264 123 37 two two CD A52264 123 38 equal equal JJ A52264 123 39 parts part NNS A52264 123 40 , , , A52264 123 41 so so RB A52264 123 42 is be VBZ A52264 123 43 ABD ABD NNP A52264 123 44 , , , A52264 123 45 or or CC A52264 123 46 ABC ABC NNP A52264 123 47 , , , A52264 123 48 the the DT A52264 123 49 Quadrant quadrant JJ A52264 123 50 or or CC A52264 123 51 fourth fourth JJ A52264 123 52 part part NN A52264 123 53 of of IN A52264 123 54 the the DT A52264 123 55 Circle Circle NNP A52264 123 56 . . . A52264 124 1 13 13 CD A52264 124 2 . . . A52264 125 1 A a DT A52264 125 2 Segment segment NN A52264 125 3 or or CC A52264 125 4 portion portion NN A52264 125 5 of of IN A52264 125 6 a a DT A52264 125 7 Circle Circle NNP A52264 125 8 is be VBZ A52264 125 9 a a DT A52264 125 10 figure figure NN A52264 125 11 contained contain VBN A52264 125 12 under under IN A52264 125 13 a a DT A52264 125 14 right right JJ A52264 125 15 line line NN A52264 125 16 and and CC A52264 125 17 a a DT A52264 125 18 part part NN A52264 125 19 of of IN A52264 125 20 the the DT A52264 125 21 circumference circumference NN A52264 125 22 of of IN A52264 125 23 a a DT A52264 125 24 Circle Circle NNP A52264 125 25 , , , A52264 125 26 either either CC A52264 125 27 greater great JJR A52264 125 28 or or CC A52264 125 29 lesser less JJR A52264 125 30 than than IN A52264 125 31 the the DT A52264 125 32 Semicircle Semicircle NNP A52264 125 33 ; ; : A52264 125 34 as as IN A52264 125 35 in in IN A52264 125 36 the the DT A52264 125 37 former former JJ A52264 125 38 figure figure NN A52264 125 39 , , , A52264 125 40 FBGH FBGH NNP A52264 125 41 is be VBZ A52264 125 42 a a DT A52264 125 43 segment segment NN A52264 125 44 or or CC A52264 125 45 part part NN A52264 125 46 of of IN A52264 125 47 the the DT A52264 125 48 Circle Circle NNP A52264 125 49 CBDE CBDE NNP A52264 125 50 , , , A52264 125 51 contained contain VBN A52264 125 52 under under IN A52264 125 53 the the DT A52264 125 54 right right JJ A52264 125 55 line line NN A52264 125 56 FHG FHG NNP A52264 125 57 lesse lesse NN A52264 125 58 than than IN A52264 125 59 the the DT A52264 125 60 Diameter Diameter NNP A52264 125 61 CAD CAD NNP A52264 125 62 . . . A52264 126 1 14 14 CD A52264 126 2 . . . A52264 127 1 By by IN A52264 127 2 the the DT A52264 127 3 application application NN A52264 127 4 of of IN A52264 127 5 several several JJ A52264 127 6 lines line NNS A52264 127 7 ● ● NFP A52264 127 8 terms term NNS A52264 127 9 of of IN A52264 127 10 a a DT A52264 127 11 Superficies Superficies NNP A52264 127 12 one one CD A52264 127 13 to to IN A52264 127 14 another another DT A52264 127 15 , , , A52264 127 16 are be VBP A52264 127 17 made make VBN A52264 127 18 Parallels Parallels NNPS A52264 127 19 , , , A52264 127 20 Angles Angles NNPS A52264 127 21 , , , A52264 127 22 and and CC A52264 127 23 many many JJ A52264 127 24 sided side VBD A52264 127 25 Figures figure NNS A52264 127 26 . . . A52264 128 1 15 15 CD A52264 128 2 . . . A52264 129 1 A a DT A52264 129 2 Parallel parallel JJ A52264 129 3 line line NN A52264 129 4 is be VBZ A52264 129 5 a a DT A52264 129 6 line line NN A52264 129 7 drawn draw VBN A52264 129 8 by by IN A52264 129 9 the the DT A52264 129 10 side side NN A52264 129 11 of of IN A52264 129 12 another another DT A52264 129 13 line line NN A52264 129 14 , , , A52264 129 15 in in IN A52264 129 16 such such JJ A52264 129 17 sort sort NN A52264 129 18 that that IN A52264 129 19 they -PRON- PRP A52264 129 20 may may MD A52264 129 21 be be VB A52264 129 22 equidistant equidistant JJ A52264 129 23 in in IN A52264 129 24 all all DT A52264 129 25 places place NNS A52264 129 26 , , , A52264 129 27 and and CC A52264 129 28 of of IN A52264 129 29 such such JJ A52264 129 30 there there EX A52264 129 31 are be VBP A52264 129 32 two two CD A52264 129 33 sorts sort NNS A52264 129 34 , , , A52264 129 35 the the DT A52264 129 36 right right NN A52264 129 37 lined line VBN A52264 129 38 parallel parallel NN A52264 129 39 , , , A52264 129 40 and and CC A52264 129 41 the the DT A52264 129 42 circular circular JJ A52264 129 43 parallel parallel NN A52264 129 44 . . . A52264 130 1 Right right RB A52264 130 2 lined line VBN A52264 130 3 Parallels Parallels NNPS A52264 130 4 are be VBP A52264 130 5 two two CD A52264 130 6 right right JJ A52264 130 7 lines line NNS A52264 130 8 equidistant equidistant NN A52264 130 9 in in IN A52264 130 10 all all DT A52264 130 11 places place NNS A52264 130 12 one one CD A52264 130 13 from from IN A52264 130 14 the the DT A52264 130 15 other other JJ A52264 130 16 , , , A52264 130 17 which which WDT A52264 130 18 being be VBG A52264 130 19 drawn draw VBN A52264 130 20 to to IN A52264 130 21 an an DT A52264 130 22 infinite infinite JJ A52264 130 23 length length NN A52264 130 24 would would MD A52264 130 25 never never RB A52264 130 26 meet meet VB A52264 130 27 or or CC A52264 130 28 concur concur VB A52264 130 29 ; ; : A52264 130 30 as as IN A52264 130 31 may may MD A52264 130 32 be be VB A52264 130 33 seen see VBN A52264 130 34 by by IN A52264 130 35 these these DT A52264 130 36 two two CD A52264 130 37 lines line NNS A52264 130 38 , , , A52264 130 39 AB AB NNP A52264 130 40 and and CC A52264 130 41 CD CD NNP A52264 130 42 . . . A52264 131 1 A a DT A52264 131 2 Circular Circular NNP A52264 131 3 Parallel Parallel NNP A52264 131 4 is be VBZ A52264 131 5 a a DT A52264 131 6 Circle Circle NNP A52264 131 7 drawn draw VBN A52264 131 8 within within IN A52264 131 9 or or CC A52264 131 10 without without IN A52264 131 11 another another DT A52264 131 12 Circle Circle NNP A52264 131 13 , , , A52264 131 14 upon upon IN A52264 131 15 the the DT A52264 131 16 same same JJ A52264 131 17 center center NN A52264 131 18 , , , A52264 131 19 as as IN A52264 131 20 you -PRON- PRP A52264 131 21 may may MD A52264 131 22 plainly plainly RB A52264 131 23 see see VB A52264 131 24 by by IN A52264 131 25 the the DT A52264 131 26 two two CD A52264 131 27 Circles Circles NNP A52264 131 28 BCDE BCDE NNP A52264 131 29 , , , A52264 131 30 and and CC A52264 131 31 FGHI FGHI NNP A52264 131 32 , , , A52264 131 33 these these DT A52264 131 34 Circles circle NNS A52264 131 35 are be VBP A52264 131 36 both both DT A52264 131 37 of of IN A52264 131 38 them -PRON- PRP A52264 131 39 drawn draw VBN A52264 131 40 upon upon IN A52264 131 41 the the DT A52264 131 42 same same JJ A52264 131 43 center center NN A52264 131 44 A A NNP A52264 131 45 , , , A52264 131 46 and and CC A52264 131 47 therefore therefore RB A52264 131 48 are be VBP A52264 131 49 parallel parallel JJ A52264 131 50 one one NN A52264 131 51 to to IN A52264 131 52 the the DT A52264 131 53 other other JJ A52264 131 54 . . . A52264 132 1 16 16 CD A52264 132 2 . . . A52264 133 1 An an DT A52264 133 2 Angle Angle NNP A52264 133 3 is be VBZ A52264 133 4 the the DT A52264 133 5 meeting meeting NN A52264 133 6 of of IN A52264 133 7 two two CD A52264 133 8 lines line NNS A52264 133 9 in in IN A52264 133 10 any any DT A52264 133 11 sort sort NN A52264 133 12 , , , A52264 133 13 so so RB A52264 133 14 as as IN A52264 133 15 they -PRON- PRP A52264 133 16 both both DT A52264 133 17 make make VBP A52264 133 18 not not RB A52264 133 19 one one CD A52264 133 20 line line NN A52264 133 21 ; ; , A52264 133 22 as as IN A52264 133 23 the the DT A52264 133 24 two two CD A52264 133 25 lines line NNS A52264 133 26 AB AB NNP A52264 133 27 and and CC A52264 133 28 AC AC NNP A52264 133 29 incline incline VB A52264 133 30 the the DT A52264 133 31 one one NN A52264 133 32 to to IN A52264 133 33 the the DT A52264 133 34 other other JJ A52264 133 35 , , , A52264 133 36 and and CC A52264 133 37 touch touch VB A52264 133 38 one one NN A52264 133 39 another another DT A52264 133 40 in in IN A52264 133 41 the the DT A52264 133 42 point point NN A52264 133 43 A a NN A52264 133 44 , , , A52264 133 45 in in IN A52264 133 46 which which WDT A52264 133 47 point point NN A52264 133 48 is be VBZ A52264 133 49 made make VBN A52264 133 50 the the DT A52264 133 51 angle angle NN A52264 133 52 BAC BAC NNP A52264 133 53 . . . A52264 134 1 And and CC A52264 134 2 if if IN A52264 134 3 the the DT A52264 134 4 lines line NNS A52264 134 5 which which WDT A52264 134 6 contain contain VBP A52264 134 7 the the DT A52264 134 8 angle angle NN A52264 134 9 be be VB A52264 134 10 right right JJ A52264 134 11 lines line NNS A52264 134 12 , , , A52264 134 13 then then RB A52264 134 14 it -PRON- PRP A52264 134 15 is be VBZ A52264 134 16 called call VBN A52264 134 17 a a DT A52264 134 18 right right JJ A52264 134 19 lined line VBN A52264 134 20 angle angle NN A52264 134 21 ; ; : A52264 134 22 as as IN A52264 134 23 the the DT A52264 134 24 angle angle NN A52264 134 25 BAC BAC NNP A52264 134 26 . . . A52264 135 1 A a DT A52264 135 2 crooked crooked JJ A52264 135 3 lined lined JJ A52264 135 4 angle angle NN A52264 135 5 is be VBZ A52264 135 6 that that DT A52264 135 7 which which WDT A52264 135 8 is be VBZ A52264 135 9 contained contain VBN A52264 135 10 of of IN A52264 135 11 crooked crooked JJ A52264 135 12 lines line NNS A52264 135 13 ; ; : A52264 135 14 as as IN A52264 135 15 the the DT A52264 135 16 angle angle NN A52264 135 17 DEF DEF NNP A52264 135 18 : : : A52264 135 19 and and CC A52264 135 20 a a DT A52264 135 21 mixt mixt NN A52264 135 22 angle angle NN A52264 135 23 is be VBZ A52264 135 24 that that DT A52264 135 25 which which WDT A52264 135 26 is be VBZ A52264 135 27 contained contain VBN A52264 135 28 both both DT A52264 135 29 of of IN A52264 135 30 a a DT A52264 135 31 right right JJ A52264 135 32 and and CC A52264 135 33 crooked crooked JJ A52264 135 34 line line NN A52264 135 35 ; ; , A52264 135 36 as as IN A52264 135 37 the the DT A52264 135 38 angle angle NN A52264 135 39 GHI GHI NNP A52264 135 40 : : : A52264 135 41 where where WRB A52264 135 42 note note VB A52264 135 43 that that IN A52264 135 44 an an DT A52264 135 45 angle angle NN A52264 135 46 is be VBZ A52264 135 47 ( ( -LRB- A52264 135 48 for for IN A52264 135 49 the the DT A52264 135 50 most most JJS A52264 135 51 part part NN A52264 135 52 ) ) -RRB- A52264 135 53 described describe VBN A52264 135 54 by by IN A52264 135 55 three three CD A52264 135 56 letters letter NNS A52264 135 57 , , , A52264 135 58 of of IN A52264 135 59 which which WDT A52264 135 60 the the DT A52264 135 61 second second JJ A52264 135 62 or or CC A52264 135 63 middle middle JJ A52264 135 64 letter letter NN A52264 135 65 representeth representeth VB A52264 135 66 the the DT A52264 135 67 angular angular JJ A52264 135 68 point point NN A52264 135 69 ; ; : A52264 135 70 as as IN A52264 135 71 in in IN A52264 135 72 the the DT A52264 135 73 angle angle NN A52264 135 74 BAC BAC NNP A52264 135 75 , , , A52264 135 76 A a DT A52264 135 77 representeth representeth NN A52264 135 78 the the DT A52264 135 79 angular angular JJ A52264 135 80 point point NN A52264 135 81 . . . A52264 136 1 17 17 CD A52264 136 2 . . . A52264 137 1 All all DT A52264 137 2 Angles angle NNS A52264 137 3 are be VBP A52264 137 4 either either RB A52264 137 5 Right right UH A52264 137 6 , , , A52264 137 7 Acute acute JJ A52264 137 8 , , , A52264 137 9 or or CC A52264 137 10 Obtuse Obtuse NNP A52264 137 11 . . . A52264 138 1 18 18 CD A52264 138 2 . . . A52264 139 1 When when WRB A52264 139 2 a a DT A52264 139 3 right right JJ A52264 139 4 line line NN A52264 139 5 standeth standeth NN A52264 139 6 upon upon IN A52264 139 7 a a DT A52264 139 8 right right JJ A52264 139 9 line line NN A52264 139 10 , , , A52264 139 11 making make VBG A52264 139 12 the the DT A52264 139 13 angles angle NNS A52264 139 14 on on IN A52264 139 15 either either DT A52264 139 16 side side NN A52264 139 17 equal equal JJ A52264 139 18 , , , A52264 139 19 either either DT A52264 139 20 of of IN A52264 139 21 those those DT A52264 139 22 angles angle NNS A52264 139 23 is be VBZ A52264 139 24 a a DT A52264 139 25 right right JJ A52264 139 26 angle angle NN A52264 139 27 , , , A52264 139 28 and and CC A52264 139 29 the the DT A52264 139 30 right right JJ A52264 139 31 line line NN A52264 139 32 which which WDT A52264 139 33 standeth standeth VBZ A52264 139 34 erected erect VBN A52264 139 35 , , , A52264 139 36 is be VBZ A52264 139 37 a a DT A52264 139 38 perpendicular perpendicular JJ A52264 139 39 line line NN A52264 139 40 to to IN A52264 139 41 that that DT A52264 139 42 upon upon IN A52264 139 43 which which WDT A52264 139 44 it -PRON- PRP A52264 139 45 standeth standeth JJ A52264 139 46 . . . A52264 140 1 As as IN A52264 140 2 the the DT A52264 140 3 line line NN A52264 140 4 AB AB NNP A52264 140 5 ( ( -LRB- A52264 140 6 in in IN A52264 140 7 the the DT A52264 140 8 following following JJ A52264 140 9 figure figure NN A52264 140 10 ) ) -RRB- A52264 140 11 falling fall VBG A52264 140 12 upon upon IN A52264 140 13 the the DT A52264 140 14 line line NN A52264 140 15 CBD CBD NNP A52264 140 16 perpendicularly perpendicularly RB A52264 140 17 , , , A52264 140 18 doth doth NN A52264 140 19 make make VBP A52264 140 20 the the DT A52264 140 21 angles angle NNS A52264 140 22 on on IN A52264 140 23 both both DT A52264 140 24 sides side NNS A52264 140 25 equal equal JJ A52264 140 26 , , , A52264 140 27 that that RB A52264 140 28 is is RB A52264 140 29 , , , A52264 140 30 the the DT A52264 140 31 angle angle NN A52264 140 32 ABC ABC NNP A52264 140 33 is be VBZ A52264 140 34 equal equal JJ A52264 140 35 to to IN A52264 140 36 the the DT A52264 140 37 angle angle NN A52264 140 38 ABD ABD NNP A52264 140 39 , , , A52264 140 40 and and CC A52264 140 41 either either DT A52264 140 42 of of IN A52264 140 43 those those DT A52264 140 44 angles angle NNS A52264 140 45 is be VBZ A52264 140 46 therefore therefore RB A52264 140 47 a a DT A52264 140 48 right right JJ A52264 140 49 angle angle NN A52264 140 50 . . . A52264 141 1 19 19 CD A52264 141 2 . . . A52264 142 1 An an DT A52264 142 2 acute acute JJ A52264 142 3 angle angle NN A52264 142 4 is be VBZ A52264 142 5 that that DT A52264 142 6 which which WDT A52264 142 7 is be VBZ A52264 142 8 lesse lesse JJ A52264 142 9 than than IN A52264 142 10 a a DT A52264 142 11 right right JJ A52264 142 12 angle angle NN A52264 142 13 ; ; : A52264 142 14 as as IN A52264 142 15 the the DT A52264 142 16 angle angle NN A52264 142 17 ABE ABE NNP A52264 142 18 is be VBZ A52264 142 19 an an DT A52264 142 20 acute acute JJ A52264 142 21 angle angle NN A52264 142 22 , , , A52264 142 23 because because IN A52264 142 24 it -PRON- PRP A52264 142 25 is be VBZ A52264 142 26 less less JJR A52264 142 27 than than IN A52264 142 28 the the DT A52264 142 29 right right JJ A52264 142 30 angle angle NN A52264 142 31 ABD ABD NNP A52264 142 32 , , , A52264 142 33 in in IN A52264 142 34 the the DT A52264 142 35 former former JJ A52264 142 36 figure figure NN A52264 142 37 . . . A52264 143 1 20 20 CD A52264 143 2 . . . A52264 144 1 An an DT A52264 144 2 Obtuse Obtuse NNP A52264 144 3 Angle Angle NNP A52264 144 4 is be VBZ A52264 144 5 that that DT A52264 144 6 which which WDT A52264 144 7 is be VBZ A52264 144 8 greater great JJR A52264 144 9 than than IN A52264 144 10 a a DT A52264 144 11 right right JJ A52264 144 12 angle angle NN A52264 144 13 ; ; : A52264 144 14 CBE cbe NN A52264 144 15 in in IN A52264 144 16 the the DT A52264 144 17 former former JJ A52264 144 18 figure figure NN A52264 144 19 is be VBZ A52264 144 20 greater great JJR A52264 144 21 than than IN A52264 144 22 the the DT A52264 144 23 angle angle NN A52264 144 24 ABC ABC NNP A52264 144 25 by by IN A52264 144 26 the the DT A52264 144 27 angle angle NN A52264 144 28 ABE ABE NNP A52264 144 29 , , , A52264 144 30 and and CC A52264 144 31 therefore therefore RB A52264 144 32 it -PRON- PRP A52264 144 33 is be VBZ A52264 144 34 an an DT A52264 144 35 obtuse obtuse JJ A52264 144 36 angle angle NN A52264 144 37 . . . A52264 145 1 21 21 CD A52264 145 2 . . . A52264 146 1 The the DT A52264 146 2 measure measure NN A52264 146 3 of of IN A52264 146 4 every every DT A52264 146 5 angle angle NN A52264 146 6 is be VBZ A52264 146 7 the the DT A52264 146 8 arch arch NN A52264 146 9 of of IN A52264 146 10 a a DT A52264 146 11 Circle Circle NNP A52264 146 12 described describe VBN A52264 146 13 on on IN A52264 146 14 the the DT A52264 146 15 angular angular JJ A52264 146 16 point point NN A52264 146 17 , , , A52264 146 18 as as IN A52264 146 19 in in IN A52264 146 20 the the DT A52264 146 21 following following JJ A52264 146 22 figure figure NN A52264 146 23 , , , A52264 146 24 the the DT A52264 146 25 arch arch JJ A52264 146 26 CD cd NN A52264 146 27 is be VBZ A52264 146 28 the the DT A52264 146 29 measure measure NN A52264 146 30 of of IN A52264 146 31 the the DT A52264 146 32 right right JJ A52264 146 33 angle angle NN A52264 146 34 CED CED NNP A52264 146 35 . . . A52264 147 1 The the DT A52264 147 2 arch arch JJ A52264 147 3 BC BC NNP A52264 147 4 is be VBZ A52264 147 5 the the DT A52264 147 6 measure measure NN A52264 147 7 of of IN A52264 147 8 the the DT A52264 147 9 acute acute JJ A52264 147 10 angle angle NN A52264 147 11 BEC BEC NNP A52264 147 12 . . . A52264 148 1 And and CC A52264 148 2 the the DT A52264 148 3 arch arch JJ A52264 148 4 BCD BCD NNP A52264 148 5 is be VBZ A52264 148 6 the the DT A52264 148 7 measure measure NN A52264 148 8 of of IN A52264 148 9 the the DT A52264 148 10 obtuse obtuse JJ A52264 148 11 angle angle NN A52264 148 12 BED bed NN A52264 148 13 . . . A52264 149 1 But but CC A52264 149 2 of of IN A52264 149 3 their -PRON- PRP$ A52264 149 4 measure measure NN A52264 149 5 there there EX A52264 149 6 can can MD A52264 149 7 be be VB A52264 149 8 no no DT A52264 149 9 certain certain JJ A52264 149 10 knowledge knowledge NN A52264 149 11 , , , A52264 149 12 unlesse unlesse IN A52264 149 13 the the DT A52264 149 14 quantity quantity NN A52264 149 15 of of IN A52264 149 16 those those DT A52264 149 17 arches arch NNS A52264 149 18 be be VB A52264 149 19 exprest exprest JJ A52264 149 20 in in IN A52264 149 21 numbers number NNS A52264 149 22 . . . A52264 150 1 22 22 CD A52264 150 2 . . . A52264 151 1 Every every DT A52264 151 2 Circle Circle NNP A52264 151 3 therefore therefore RB A52264 151 4 is be VBZ A52264 151 5 supposed suppose VBN A52264 151 6 to to TO A52264 151 7 be be VB A52264 151 8 divided divide VBN A52264 151 9 into into IN A52264 151 10 360 360 CD A52264 151 11 equall equall NN A52264 151 12 parts part NNS A52264 151 13 , , , A52264 151 14 called call VBN A52264 151 15 Degrees Degrees NNP A52264 151 16 , , , A52264 151 17 and and CC A52264 151 18 every every DT A52264 151 19 Degree Degree NNP A52264 151 20 into into IN A52264 151 21 60 60 CD A52264 151 22 Minutes Minutes NNPS A52264 151 23 , , , A52264 151 24 every every DT A52264 151 25 Minute minute NN A52264 151 26 into into IN A52264 151 27 60 60 CD A52264 151 28 Seconds second NNS A52264 151 29 , , , A52264 151 30 and and CC A52264 151 31 so so RB A52264 151 32 forward forward RB A52264 151 33 . . . A52264 152 1 This this DT A52264 152 2 division division NN A52264 152 3 of of IN A52264 152 4 the the DT A52264 152 5 Circle Circle NNP A52264 152 6 into into IN A52264 152 7 360 360 CD A52264 152 8 parts part NNS A52264 152 9 we -PRON- PRP A52264 152 10 shall shall MD A52264 152 11 retain retain VB A52264 152 12 , , , A52264 152 13 but but CC A52264 152 14 every every DT A52264 152 15 Degree Degree NNP A52264 152 16 we -PRON- PRP A52264 152 17 will will MD A52264 152 18 suppose suppose VB A52264 152 19 to to TO A52264 152 20 be be VB A52264 152 21 divided divide VBN A52264 152 22 into into IN A52264 152 23 100 100 CD A52264 152 24 parts part NNS A52264 152 25 or or CC A52264 152 26 Minutes Minutes NNPS A52264 152 27 , , , A52264 152 28 & & CC A52264 152 29 every every DT A52264 152 30 Minute Minute NNP A52264 152 31 into into IN A52264 152 32 100 100 CD A52264 152 33 Seconds second NNS A52264 152 34 : : : A52264 152 35 and and CC A52264 152 36 thus thus RB A52264 152 37 all all DT A52264 152 38 Calculations calculation NNS A52264 152 39 will will MD A52264 152 40 be be VB A52264 152 41 much much RB A52264 152 42 easier easy JJR A52264 152 43 , , , A52264 152 44 and and CC A52264 152 45 no no DT A52264 152 46 lesse lesse NN A52264 152 47 certain certain JJ A52264 152 48 . . . A52264 153 1 23 23 CD A52264 153 2 . . . A52264 154 1 A a DT A52264 154 2 Semicircle Semicircle NNP A52264 154 3 is be VBZ A52264 154 4 the the DT A52264 154 5 halfe halfe NN A52264 154 6 of of IN A52264 154 7 a a DT A52264 154 8 whole whole JJ A52264 154 9 circle circle NN A52264 154 10 containing contain VBG A52264 154 11 180 180 CD A52264 154 12 degrees degree NNS A52264 154 13 . . . A52264 155 1 A a DT A52264 155 2 Quadrant quadrant JJ A52264 155 3 or or CC A52264 155 4 fourth fourth JJ A52264 155 5 part part NN A52264 155 6 of of IN A52264 155 7 a a DT A52264 155 8 circle circle NN A52264 155 9 is be VBZ A52264 155 10 90 90 CD A52264 155 11 degrees degree NNS A52264 155 12 . . . A52264 156 1 And and CC A52264 156 2 thus thus RB A52264 156 3 the the DT A52264 156 4 measure measure NN A52264 156 5 of of IN A52264 156 6 the the DT A52264 156 7 right right JJ A52264 156 8 angle angle NN A52264 156 9 CED CED NNP A52264 156 10 is be VBZ A52264 156 11 the the DT A52264 156 12 arch arch JJ A52264 156 13 CD CD NNP A52264 156 14 90 90 CD A52264 156 15 degrees degree NNS A52264 156 16 . . . A52264 157 1 The the DT A52264 157 2 measure measure NN A52264 157 3 of of IN A52264 157 4 the the DT A52264 157 5 acute acute JJ A52264 157 6 angle angle NN A52264 157 7 BEC BEC NNP A52264 157 8 is be VBZ A52264 157 9 the the DT A52264 157 10 arch arch JJ A52264 157 11 BC BC NNP A52264 157 12 30 30 CD A52264 157 13 degrees degree NNS A52264 157 14 . . . A52264 158 1 And and CC A52264 158 2 the the DT A52264 158 3 measure measure NN A52264 158 4 of of IN A52264 158 5 the the DT A52264 158 6 obtuse obtuse JJ A52264 158 7 angle angle NN A52264 158 8 BED BED NNP A52264 158 9 is be VBZ A52264 158 10 the the DT A52264 158 11 arch arch JJ A52264 158 12 BD BD NNP A52264 158 13 120 120 CD A52264 158 14 degrees degree NNS A52264 158 15 . . . A52264 159 1 24 24 CD A52264 159 2 . . . A52264 160 1 The the DT A52264 160 2 complement complement NN A52264 160 3 of of IN A52264 160 4 an an DT A52264 160 5 angle angle NN A52264 160 6 to to IN A52264 160 7 a a DT A52264 160 8 Quadrant quadrant NN A52264 160 9 is be VBZ A52264 160 10 so so RB A52264 160 11 much much RB A52264 160 12 as as IN A52264 160 13 the the DT A52264 160 14 angle angle JJ A52264 160 15 wanteth wanteth NN A52264 160 16 of of IN A52264 160 17 90 90 CD A52264 160 18 degrees degree NNS A52264 160 19 , , , A52264 160 20 as as IN A52264 160 21 the the DT A52264 160 22 complement complement NN A52264 160 23 of of IN A52264 160 24 the the DT A52264 160 25 angle angle NN A52264 160 26 AEB AEB NNP A52264 160 27 60 60 CD A52264 160 28 degrees degree NNS A52264 160 29 is be VBZ A52264 160 30 the the DT A52264 160 31 angle angle NN A52264 160 32 BEC BEC NNP A52264 160 33 30 30 CD A52264 160 34 degrees degree NNS A52264 160 35 ; ; : A52264 160 36 for for IN A52264 160 37 30 30 CD A52264 160 38 and and CC A52264 160 39 60 60 CD A52264 160 40 do do VBP A52264 160 41 make make VB A52264 160 42 a a DT A52264 160 43 Quadrant Quadrant NNP A52264 160 44 or or CC A52264 160 45 90 90 CD A52264 160 46 degrees degree NNS A52264 160 47 . . . A52264 161 1 25 25 CD A52264 161 2 . . . A52264 162 1 The the DT A52264 162 2 complement complement NN A52264 162 3 of of IN A52264 162 4 an an DT A52264 162 5 angle angle NN A52264 162 6 to to IN A52264 162 7 a a DT A52264 162 8 Semicircle Semicircle NNP A52264 162 9 is be VBZ A52264 162 10 so so RB A52264 162 11 much much RB A52264 162 12 as as IN A52264 162 13 the the DT A52264 162 14 said say VBD A52264 162 15 angle angle JJ A52264 162 16 wanteth wanteth NN A52264 162 17 of of IN A52264 162 18 180 180 CD A52264 162 19 degrees degree NNS A52264 162 20 , , , A52264 162 21 as as IN A52264 162 22 the the DT A52264 162 23 complement complement NN A52264 162 24 of of IN A52264 162 25 the the DT A52264 162 26 angle angle NN A52264 162 27 BED BED NNP A52264 162 28 120 120 CD A52264 162 29 degrees degree NNS A52264 162 30 , , , A52264 162 31 is be VBZ A52264 162 32 the the DT A52264 162 33 angle angle NN A52264 162 34 AEB AEB NNP A52264 162 35 , , , A52264 162 36 60 60 CD A52264 162 37 degrees degree NNS A52264 162 38 ; ; : A52264 162 39 for for IN A52264 162 40 60 60 CD A52264 162 41 and and CC A52264 162 42 120 120 CD A52264 162 43 do do VBP A52264 162 44 make make VB A52264 162 45 180 180 CD A52264 162 46 degrees degree NNS A52264 162 47 . . . A52264 163 1 26 26 CD A52264 163 2 . . . A52264 164 1 Many many JJ A52264 164 2 sided sided JJ A52264 164 3 figures figure NNS A52264 164 4 are be VBP A52264 164 5 such such JJ A52264 164 6 as as IN A52264 164 7 are be VBP A52264 164 8 made make VBN A52264 164 9 of of IN A52264 164 10 three three CD A52264 164 11 , , , A52264 164 12 four four CD A52264 164 13 , , , A52264 164 14 or or CC A52264 164 15 more more JJR A52264 164 16 lines line NNS A52264 164 17 , , , A52264 164 18 though though RB A52264 164 19 for for IN A52264 164 20 distinction distinction NN A52264 164 21 sake sake NN A52264 164 22 , , , A52264 164 23 those those DT A52264 164 24 only only RB A52264 164 25 are be VBP A52264 164 26 so so RB A52264 164 27 called call VBN A52264 164 28 which which WDT A52264 164 29 are be VBP A52264 164 30 contained contain VBN A52264 164 31 under under IN A52264 164 32 five five CD A52264 164 33 lines line NNS A52264 164 34 or or CC A52264 164 35 terms term NNS A52264 164 36 at at IN A52264 164 37 the the DT A52264 164 38 least least JJS A52264 164 39 . . . A52264 165 1 27 27 CD A52264 165 2 . . . A52264 166 1 Four four CD A52264 166 2 sided sided JJ A52264 166 3 figures figure NNS A52264 166 4 are be VBP A52264 166 5 such such JJ A52264 166 6 as as IN A52264 166 7 are be VBP A52264 166 8 contained contain VBN A52264 166 9 under under IN A52264 166 10 four four CD A52264 166 11 lines line NNS A52264 166 12 or or CC A52264 166 13 terms term NNS A52264 166 14 , , , A52264 166 15 and and CC A52264 166 16 are be VBP A52264 166 17 of of IN A52264 166 18 divers diver NNS A52264 166 19 sorts sort NNS A52264 166 20 . . . A52264 167 1 1 1 LS A52264 167 2 . . . A52264 168 1 There there EX A52264 168 2 is be VBZ A52264 168 3 the the DT A52264 168 4 Quadrat Quadrat NNP A52264 168 5 or or CC A52264 168 6 Square Square NNP A52264 168 7 whose whose WP$ A52264 168 8 sides side NNS A52264 168 9 are be VBP A52264 168 10 equall equall JJ A52264 168 11 and and CC A52264 168 12 his -PRON- PRP$ A52264 168 13 angles angle NNS A52264 168 14 right right RB A52264 168 15 . . . A52264 169 1 2 2 LS A52264 169 2 . . . A52264 170 1 The the DT A52264 170 2 Long Long NNP A52264 170 3 Square Square NNP A52264 170 4 whose whose WP$ A52264 170 5 angles angle NNS A52264 170 6 are be VBP A52264 170 7 right right JJ A52264 170 8 , , , A52264 170 9 but but CC A52264 170 10 the the DT A52264 170 11 sides side NNS A52264 170 12 unequal unequal JJ A52264 170 13 . . . A52264 171 1 3 3 LS A52264 171 2 . . . A52264 172 1 The the DT A52264 172 2 Rhombus Rhombus NNP A52264 172 3 or or CC A52264 172 4 Diamond Diamond NNP A52264 172 5 , , , A52264 172 6 having have VBG A52264 172 7 equall equall NN A52264 172 8 sides side NNS A52264 172 9 but but CC A52264 172 10 not not RB A52264 172 11 equal equal JJ A52264 172 12 angles angle NNS A52264 172 13 . . . A52264 173 1 4 4 LS A52264 173 2 . . . A52264 174 1 The the DT A52264 174 2 Rhomboides Rhomboides NNPS A52264 174 3 , , , A52264 174 4 having have VBG A52264 174 5 neither neither CC A52264 174 6 equal equal JJ A52264 174 7 sides side NNS A52264 174 8 nor nor CC A52264 174 9 equal equal JJ A52264 174 10 angles angle NNS A52264 174 11 , , , A52264 174 12 and and CC A52264 174 13 yet yet CC A52264 174 14 the the DT A52264 174 15 opposite opposite JJ A52264 174 16 sides side NNS A52264 174 17 and and CC A52264 174 18 angles angle NNS A52264 174 19 equal equal JJ A52264 174 20 . . . A52264 175 1 All all DT A52264 175 2 other other JJ A52264 175 3 figures figure NNS A52264 175 4 of of IN A52264 175 5 four four CD A52264 175 6 sides side NNS A52264 175 7 are be VBP A52264 175 8 called call VBN A52264 175 9 Trapezia Trapezia NNP A52264 175 10 or or CC A52264 175 11 Tables Tables NNPS A52264 175 12 . . . A52264 176 1 The the DT A52264 176 2 dimension dimension NN A52264 176 3 whereof whereof IN A52264 176 4 as as RB A52264 176 5 also also RB A52264 176 6 of of IN A52264 176 7 all all DT A52264 176 8 figures figure NNS A52264 176 9 whatsoever whatsoever RB A52264 176 10 , , , A52264 176 11 dependeth dependeth FW A52264 176 12 upon upon IN A52264 176 13 the the DT A52264 176 14 knowledge knowledge NN A52264 176 15 of of IN A52264 176 16 three three CD A52264 176 17 sided sided JJ A52264 176 18 figures figure NNS A52264 176 19 , , , A52264 176 20 or or CC A52264 176 21 Triangles Triangles NNPS A52264 176 22 , , , A52264 176 23 of of IN A52264 176 24 which which WDT A52264 176 25 in in IN A52264 176 26 the the DT A52264 176 27 Chapter chapter NN A52264 176 28 following following NN A52264 176 29 . . . A52264 177 1 CHAP CHAP NNP A52264 177 2 . . . A52264 178 1 II ii CD A52264 178 2 . . . A52264 179 1 Of of IN A52264 179 2 the the DT A52264 179 3 nature nature NN A52264 179 4 and and CC A52264 179 5 quality quality NN A52264 179 6 of of IN A52264 179 7 Triangles Triangles NNPS A52264 179 8 . . . A52264 180 1 1 1 LS A52264 180 2 . . . A52264 181 1 A a DT A52264 181 2 Triangle Triangle NNP A52264 181 3 is be VBZ A52264 181 4 a a DT A52264 181 5 figure figure NN A52264 181 6 consisting consist VBG A52264 181 7 of of IN A52264 181 8 three three CD A52264 181 9 sides side NNS A52264 181 10 and and CC A52264 181 11 three three CD A52264 181 12 angles angle NNS A52264 181 13 . . . A52264 182 1 2 2 LS A52264 182 2 . . . A52264 183 1 Every every DT A52264 183 2 of of IN A52264 183 3 the the DT A52264 183 4 two two CD A52264 183 5 sides side NNS A52264 183 6 of of IN A52264 183 7 any any DT A52264 183 8 Triangle Triangle NNP A52264 183 9 are be VBP A52264 183 10 the the DT A52264 183 11 sides side NNS A52264 183 12 of of IN A52264 183 13 the the DT A52264 183 14 angle angle NN A52264 183 15 comprehended comprehend VBN A52264 183 16 by by IN A52264 183 17 them -PRON- PRP A52264 183 18 , , , A52264 183 19 the the DT A52264 183 20 third third JJ A52264 183 21 side side NN A52264 183 22 is be VBZ A52264 183 23 the the DT A52264 183 24 Base Base NNP A52264 183 25 , , , A52264 183 26 as as IN A52264 183 27 in in IN A52264 183 28 the the DT A52264 183 29 figure figure NN A52264 183 30 following following NN A52264 183 31 , , , A52264 183 32 the the DT A52264 183 33 sides side NNS A52264 183 34 AC AC NNP A52264 183 35 and and CC A52264 183 36 BC BC NNP A52264 183 37 and and CC A52264 183 38 sides side NNS A52264 183 39 of of IN A52264 183 40 the the DT A52264 183 41 angle angle NN A52264 183 42 BCA BCA NNP A52264 183 43 , , , A52264 183 44 and and CC A52264 183 45 AB AB NNP A52264 183 46 is be VBZ A52264 183 47 the the DT A52264 183 48 Base Base NNP A52264 183 49 of of IN A52264 183 50 the the DT A52264 183 51 said said NNP A52264 183 52 angle angle NN A52264 183 53 . . . A52264 184 1 3 3 LS A52264 184 2 . . . A52264 185 1 Every every DT A52264 185 2 side side NN A52264 185 3 is be VBZ A52264 185 4 said say VBN A52264 185 5 to to TO A52264 185 6 subtend subtend VB A52264 185 7 the the DT A52264 185 8 angle angle NN A52264 185 9 that that WDT A52264 185 10 is be VBZ A52264 185 11 opposite opposite JJ A52264 185 12 to to IN A52264 185 13 that that DT A52264 185 14 side side NN A52264 185 15 ; ; : A52264 185 16 as as IN A52264 185 17 the the DT A52264 185 18 side side NN A52264 185 19 AB AB NNP A52264 185 20 subtendeth subtendeth VBD A52264 185 21 the the DT A52264 185 22 angle angle NN A52264 185 23 ACB ACB NNP A52264 185 24 , , , A52264 185 25 the the DT A52264 185 26 side side NN A52264 185 27 AC AC NNP A52264 185 28 subtendeth subtendeth VBP A52264 185 29 the the DT A52264 185 30 angle angle NN A52264 185 31 ABC ABC NNP A52264 185 32 , , , A52264 185 33 and and CC A52264 185 34 the the DT A52264 185 35 side side NN A52264 185 36 BC BC NNP A52264 185 37 subtendeth subtendeth VBP A52264 185 38 the the DT A52264 185 39 angle angle NN A52264 185 40 BAC BAC NNP A52264 185 41 : : : A52264 185 42 the the DT A52264 185 43 greater great JJR A52264 185 44 sides side NNS A52264 185 45 subtend subtend VBP A52264 185 46 the the DT A52264 185 47 greater great JJR A52264 185 48 angles angle NNS A52264 185 49 , , , A52264 185 50 the the DT A52264 185 51 lesser less JJR A52264 185 52 sides side NNS A52264 185 53 lesser less JJR A52264 185 54 angles angle NNS A52264 185 55 , , , A52264 185 56 and and CC A52264 185 57 equal equal JJ A52264 185 58 sides side NNS A52264 185 59 equal equal JJ A52264 185 60 angles angle NNS A52264 185 61 . . . A52264 186 1 4 4 LS A52264 186 2 . . . A52264 187 1 Of of IN A52264 187 2 Triangles triangle NNS A52264 187 3 there there EX A52264 187 4 are be VBP A52264 187 5 diverse diverse JJ A52264 187 6 sorts sort NNS A52264 187 7 ; ; : A52264 187 8 as as IN A52264 187 9 , , , A52264 187 10 1 1 CD A52264 187 11 . . . A52264 188 1 There there EX A52264 188 2 are be VBP A52264 188 3 Equilateral Equilateral NNP A52264 188 4 Triangles Triangles NNPS A52264 188 5 , , , A52264 188 6 having have VBG A52264 188 7 three three CD A52264 188 8 equal equal JJ A52264 188 9 sides side NNS A52264 188 10 . . . A52264 189 1 2 2 LS A52264 189 2 . . . A52264 190 1 There there EX A52264 190 2 is be VBZ A52264 190 3 an an DT A52264 190 4 Isoscheles Isoscheles NNP A52264 190 5 , , , A52264 190 6 which which WDT A52264 190 7 is be VBZ A52264 190 8 a a DT A52264 190 9 Triangle Triangle NNP A52264 190 10 that that WDT A52264 190 11 hath hath NN A52264 190 12 two two CD A52264 190 13 equal equal JJ A52264 190 14 sides side NNS A52264 190 15 . . . A52264 191 1 3 3 LS A52264 191 2 . . . A52264 192 1 Scalenum Scalenum NNP A52264 192 2 , , , A52264 192 3 which which WDT A52264 192 4 is be VBZ A52264 192 5 a a DT A52264 192 6 Triangle Triangle NNP A52264 192 7 whose whose WP$ A52264 192 8 sides side NNS A52264 192 9 are be VBP A52264 192 10 all all RB A52264 192 11 unequal unequal JJ A52264 192 12 . . . A52264 193 1 4 4 LS A52264 193 2 . . . A52264 194 1 An an DT A52264 194 2 Orthigonium Orthigonium NNP A52264 194 3 , , , A52264 194 4 or or CC A52264 194 5 a a DT A52264 194 6 right right NN A52264 194 7 angled angle VBN A52264 194 8 Triangle Triangle NNP A52264 194 9 , , , A52264 194 10 having have VBG A52264 194 11 one one CD A52264 194 12 right right JJ A52264 194 13 angle angle NN A52264 194 14 . . . A52264 195 1 5 5 CD A52264 195 2 . . . A52264 196 1 An an DT A52264 196 2 Ambligonium Ambligonium NNP A52264 196 3 , , , A52264 196 4 or or CC A52264 196 5 an an DT A52264 196 6 obtuse obtuse NN A52264 196 7 angled angle VBN A52264 196 8 Triangle Triangle NNP A52264 196 9 , , , A52264 196 10 having have VBG A52264 196 11 in in IN A52264 196 12 it -PRON- PRP A52264 196 13 one one CD A52264 196 14 obtuse obtuse JJ A52264 196 15 angle angle NN A52264 196 16 . . . A52264 197 1 6 6 CD A52264 197 2 . . . A52264 198 1 An an DT A52264 198 2 Oxigonium Oxigonium NNP A52264 198 3 , , , A52264 198 4 or or CC A52264 198 5 an an DT A52264 198 6 acute acute NN A52264 198 7 angled angle VBN A52264 198 8 Triangle Triangle NNP A52264 198 9 , , , A52264 198 10 having have VBG A52264 198 11 all all PDT A52264 198 12 his -PRON- PRP$ A52264 198 13 angles angle NNS A52264 198 14 acute acute NN A52264 198 15 . . . A52264 199 1 7 7 LS A52264 199 2 . . . A52264 200 1 All all PDT A52264 200 2 these these DT A52264 200 3 Triangles triangle NNS A52264 200 4 are be VBP A52264 200 5 either either CC A52264 200 6 Plain Plain NNP A52264 200 7 or or CC A52264 200 8 Spherical spherical JJ A52264 200 9 . . . A52264 201 1 8 8 LS A52264 201 2 . . . A52264 202 1 The the DT A52264 202 2 sides side NNS A52264 202 3 of of IN A52264 202 4 Plain Plain NNP A52264 202 5 Triangles Triangles NNPS A52264 202 6 in in IN A52264 202 7 Trigonometria Trigonometria NNP A52264 202 8 are be VBP A52264 202 9 right right JJ A52264 202 10 lines line NNS A52264 202 11 only only RB A52264 202 12 , , , A52264 202 13 concerning concern VBG A52264 202 14 which which WDT A52264 202 15 we -PRON- PRP A52264 202 16 have have VBP A52264 202 17 added add VBN A52264 202 18 these these DT A52264 202 19 Theorems Theorems NNPS A52264 202 20 following follow VBG A52264 202 21 . . . A52264 203 1 9 9 CD A52264 203 2 . . . A52264 204 1 Theorem theorem NN A52264 204 2 . . . A52264 205 1 If if IN A52264 205 2 one one CD A52264 205 3 right right JJ A52264 205 4 line line NN A52264 205 5 cut cut VBN A52264 205 6 through through IN A52264 205 7 two two CD A52264 205 8 parallel parallel JJ A52264 205 9 right right JJ A52264 205 10 lines line NNS A52264 205 11 , , , A52264 205 12 then then RB A52264 205 13 are be VBP A52264 205 14 the the DT A52264 205 15 angles angle NNS A52264 205 16 opposite opposite JJ A52264 205 17 one one NN A52264 205 18 against against IN A52264 205 19 another another DT A52264 205 20 equal equal JJ A52264 205 21 . . . A52264 206 1 In in IN A52264 206 2 the the DT A52264 206 3 following follow VBG A52264 206 4 Scheme Scheme NNP A52264 206 5 the the DT A52264 206 6 two two CD A52264 206 7 lines line NNS A52264 206 8 WX WX NNP A52264 206 9 and and CC A52264 206 10 YZ YZ NNP A52264 206 11 are be VBP A52264 206 12 parallel parallel JJ A52264 206 13 , , , A52264 206 14 and and CC A52264 206 15 therefore therefore RB A52264 206 16 the the DT A52264 206 17 angles angle NNS A52264 206 18 XIC XIC NNP A52264 206 19 , , , A52264 206 20 and and CC A52264 206 21 ICY ICY NNP A52264 206 22 are be VBP A52264 206 23 equal equal JJ A52264 206 24 . . . A52264 207 1 Demonstration demonstration NN A52264 207 2 . . . A52264 208 1 The the DT A52264 208 2 two two CD A52264 208 3 angles angle NNS A52264 208 4 XIC XIC NNP A52264 208 5 and and CC A52264 208 6 WIC WIC NNP A52264 208 7 are be VBP A52264 208 8 equal equal JJ A52264 208 9 to to IN A52264 208 10 two two CD A52264 208 11 right right JJ A52264 208 12 angles angle NNS A52264 208 13 , , , A52264 208 14 as as IN A52264 208 15 also also RB A52264 208 16 ICY ICY NNP A52264 208 17 and and CC A52264 208 18 ICZ ICZ NNP A52264 208 19 , , , A52264 208 20 because because IN A52264 208 21 on on IN A52264 208 22 the the DT A52264 208 23 parallel parallel JJ A52264 208 24 lines line NNS A52264 208 25 at at IN A52264 208 26 the the DT A52264 208 27 points point NNS A52264 208 28 I -PRON- PRP A52264 208 29 and and CC A52264 208 30 C C NNP A52264 208 31 there there EX A52264 208 32 may may MD A52264 208 33 be be VB A52264 208 34 drawn draw VBN A52264 208 35 two two CD A52264 208 36 Semicircles Semicircles NNPS A52264 208 37 , , , A52264 208 38 each each DT A52264 208 39 of of IN A52264 208 40 which which WDT A52264 208 41 are be VBP A52264 208 42 the the DT A52264 208 43 measures measure NNS A52264 208 44 of of IN A52264 208 45 two two CD A52264 208 46 right right JJ A52264 208 47 angles angle NNS A52264 208 48 . . . A52264 209 1 If if IN A52264 209 2 then then RB A52264 209 3 the the DT A52264 209 4 angle angle NN A52264 209 5 XIC xic NN A52264 209 6 be be VB A52264 209 7 lesse lesse JJ A52264 209 8 than than IN A52264 209 9 ICY ICY NNP A52264 209 10 , , , A52264 209 11 the the DT A52264 209 12 angle angle NN A52264 209 13 WIC WIC NNP A52264 209 14 must must MD A52264 209 15 as as RB A52264 209 16 much much RB A52264 209 17 exceed exceed VB A52264 209 18 the the DT A52264 209 19 angle angle NN A52264 209 20 ICZ ICZ NNP A52264 209 21 , , , A52264 209 22 and and CC A52264 209 23 the the DT A52264 209 24 angles angle NNS A52264 209 25 XIC XIC NNP A52264 209 26 and and CC A52264 209 27 ZCI ZCI NNP A52264 209 28 would would MD A52264 209 29 be be VB A52264 209 30 lesse lesse JJ A52264 209 31 than than IN A52264 209 32 two two CD A52264 209 33 right right JJ A52264 209 34 angles angle NNS A52264 209 35 , , , A52264 209 36 and and CC A52264 209 37 consequently consequently RB A52264 209 38 the the DT A52264 209 39 lines line NNS A52264 209 40 WX WX NNP A52264 209 41 and and CC A52264 209 42 YZ YZ NNP A52264 209 43 may may MD A52264 209 44 be be VB A52264 209 45 extended extend VBN A52264 209 46 on on IN A52264 209 47 the the DT A52264 209 48 side side NN A52264 209 49 X x NN A52264 209 50 and and CC A52264 209 51 Z z XX A52264 209 52 til til NN A52264 209 53 at at IN A52264 209 54 length length NN A52264 209 55 they -PRON- PRP A52264 209 56 shall shall MD A52264 209 57 concur concur VB A52264 209 58 together together RB A52264 209 59 , , , A52264 209 60 and and CC A52264 209 61 then then RB A52264 209 62 the the DT A52264 209 63 lines line NNS A52264 209 64 WX WX NNP A52264 209 65 and and CC A52264 209 66 YZ YZ NNP A52264 209 67 are be VBP A52264 209 68 not not RB A52264 209 69 parallels parallel NNS A52264 209 70 , , , A52264 209 71 as as IN A52264 209 72 is be VBZ A52264 209 73 supposed suppose VBN A52264 209 74 here here RB A52264 209 75 , , , A52264 209 76 and and CC A52264 209 77 therefore therefore RB A52264 209 78 the the DT A52264 209 79 angles angle NNS A52264 209 80 XIC XIC NNP A52264 209 81 and and CC A52264 209 82 ICY ICY NNP A52264 209 83 are be VBP A52264 209 84 equal equal JJ A52264 209 85 . . . A52264 210 1 10 10 CD A52264 210 2 . . . A52264 211 1 Theor Theor NNP A52264 211 2 , , , A52264 211 3 If if IN A52264 211 4 four four CD A52264 211 5 right right JJ A52264 211 6 lines line NNS A52264 211 7 be be VB A52264 211 8 proportionall proportionall JJ A52264 211 9 , , , A52264 211 10 the the DT A52264 211 11 right right RB A52264 211 12 angled angle VBN A52264 211 13 figure figure NN A52264 211 14 made make VBN A52264 211 15 of of IN A52264 211 16 the the DT A52264 211 17 two two CD A52264 211 18 means mean NNS A52264 211 19 , , , A52264 211 20 is be VBZ A52264 211 21 equal equal JJ A52264 211 22 to to IN A52264 211 23 the the DT A52264 211 24 right right JJ A52264 211 25 angled angle VBN A52264 211 26 figure figure NN A52264 211 27 made make VBN A52264 211 28 of of IN A52264 211 29 the the DT A52264 211 30 two two CD A52264 211 31 extreams extream NNS A52264 211 32 . . . A52264 212 1 Let let VB A52264 212 2 the the DT A52264 212 3 four four CD A52264 212 4 proportional proportional JJ A52264 212 5 lines line NNS A52264 212 6 be be VB A52264 212 7 AB AB NNP A52264 212 8 two two CD A52264 212 9 foot foot NN A52264 212 10 , , , A52264 212 11 EF EF NNP A52264 212 12 three three CD A52264 212 13 foot foot NN A52264 212 14 , , , A52264 212 15 FG FG NNP A52264 212 16 six six CD A52264 212 17 foot foot NN A52264 212 18 , , , A52264 212 19 and and CC A52264 212 20 BC BC NNP A52264 212 21 nine nine CD A52264 212 22 foot foot NN A52264 212 23 : : : A52264 212 24 I -PRON- PRP A52264 212 25 say say VBP A52264 212 26 then then RB A52264 212 27 that that IN A52264 212 28 the the DT A52264 212 29 right right NN A52264 212 30 angled angle VBN A52264 212 31 figure figure NN A52264 212 32 made make VBN A52264 212 33 of of IN A52264 212 34 the the DT A52264 212 35 two two CD A52264 212 36 means mean NNS A52264 212 37 EF EF NNP A52264 212 38 and and CC A52264 212 39 FG FG NNP A52264 212 40 , , , A52264 212 41 that that RB A52264 212 42 is is RB A52264 212 43 , , , A52264 212 44 the the DT A52264 212 45 right right RB A52264 212 46 angled angle VBN A52264 212 47 figure figure NN A52264 212 48 EF EF NNP A52264 212 49 GH GH NNP A52264 212 50 , , , A52264 212 51 is be VBZ A52264 212 52 equal equal JJ A52264 212 53 to to IN A52264 212 54 the the DT A52264 212 55 right right JJ A52264 212 56 angled angle VBN A52264 212 57 figure figure NN A52264 212 58 made make VBN A52264 212 59 of of IN A52264 212 60 the the DT A52264 212 61 extreams extream NNS A52264 212 62 AB AB NNP A52264 212 63 and and CC A52264 212 64 BC BC NNP A52264 212 65 , , , A52264 212 66 that that RB A52264 212 67 is is RB A52264 212 68 , , , A52264 212 69 to to IN A52264 212 70 the the DT A52264 212 71 right right JJ A52264 212 72 angled angle VBN A52264 212 73 figure figure NN A52264 212 74 ABCD ABCD NNP A52264 212 75 ; ; : A52264 212 76 for for IN A52264 212 77 as as IN A52264 212 78 twice twice PDT A52264 212 79 9 9 CD A52264 212 80 is be VBZ A52264 212 81 18 18 CD A52264 212 82 , , , A52264 212 83 so so RB A52264 212 84 likewise likewise RB A52264 212 85 three three CD A52264 212 86 times time NNS A52264 212 87 is be VBZ A52264 212 88 18 18 CD A52264 212 89 . . . A52264 213 1 11 11 CD A52264 213 2 . . . A52264 214 1 Theor Theor NNP A52264 214 2 . . . A52264 215 1 If if IN A52264 215 2 three three CD A52264 215 3 right right JJ A52264 215 4 lines line NNS A52264 215 5 be be VB A52264 215 6 proportionall proportionall JJ A52264 215 7 , , , A52264 215 8 the the DT A52264 215 9 Square Square NNP A52264 215 10 made make VBD A52264 215 11 of of IN A52264 215 12 the the DT A52264 215 13 mean mean NN A52264 215 14 is be VBZ A52264 215 15 equal equal JJ A52264 215 16 to to IN A52264 215 17 the the DT A52264 215 18 rightangled rightangle VBN A52264 215 19 figure figure NN A52264 215 20 made make VBN A52264 215 21 of of IN A52264 215 22 the the DT A52264 215 23 extreams extream NNS A52264 215 24 . . . A52264 216 1 Demonstration demonstration NN A52264 216 2 . . . A52264 217 1 The the DT A52264 217 2 Demonstration Demonstration NNP A52264 217 3 of of IN A52264 217 4 this this DT A52264 217 5 proposition proposition NN A52264 217 6 is be VBZ A52264 217 7 all all DT A52264 217 8 one one NN A52264 217 9 in in IN A52264 217 10 effect effect NN A52264 217 11 with with IN A52264 217 12 the the DT A52264 217 13 former former JJ A52264 217 14 , , , A52264 217 15 the the DT A52264 217 16 difference difference NN A52264 217 17 is be VBZ A52264 217 18 , , , A52264 217 19 that that IN A52264 217 20 here here RB A52264 217 21 is be VBZ A52264 217 22 spoken speak VBN A52264 217 23 of of IN A52264 217 24 three three CD A52264 217 25 lines line NNS A52264 217 26 , , , A52264 217 27 there there EX A52264 217 28 of of IN A52264 217 29 four four CD A52264 217 30 , , , A52264 217 31 and and CC A52264 217 32 therefore therefore RB A52264 217 33 if if IN A52264 217 34 we -PRON- PRP A52264 217 35 take take VBP A52264 217 36 the the DT A52264 217 37 mean mean NN A52264 217 38 twice twice RB A52264 217 39 , , , A52264 217 40 of of IN A52264 217 41 which which WDT A52264 217 42 the the DT A52264 217 43 square square NN A52264 217 44 is be VBZ A52264 217 45 made make VBN A52264 217 46 , , , A52264 217 47 the the DT A52264 217 48 work work NN A52264 217 49 will will MD A52264 217 50 be be VB A52264 217 51 the the DT A52264 217 52 same same JJ A52264 217 53 with with IN A52264 217 54 that that DT A52264 217 55 in in IN A52264 217 56 the the DT A52264 217 57 former former JJ A52264 217 58 proposition proposition NN A52264 217 59 . . . A52264 218 1 As as IN A52264 218 2 if if IN A52264 218 3 the the DT A52264 218 4 length length NN A52264 218 5 of of IN A52264 218 6 the the DT A52264 218 7 first first JJ A52264 218 8 line line NN A52264 218 9 were be VBD A52264 218 10 two two CD A52264 218 11 foot foot NN A52264 218 12 , , , A52264 218 13 the the DT A52264 218 14 second second JJ A52264 218 15 four four CD A52264 218 16 , , , A52264 218 17 and and CC A52264 218 18 the the DT A52264 218 19 third third JJ A52264 218 20 eight eight CD A52264 218 21 ; ; : A52264 218 22 it -PRON- PRP A52264 218 23 is be VBZ A52264 218 24 evident evident JJ A52264 218 25 , , , A52264 218 26 that that IN A52264 218 27 as as IN A52264 218 28 four four CD A52264 218 29 times time NNS A52264 218 30 four four CD A52264 218 31 is be VBZ A52264 218 32 16 16 CD A52264 218 33 , , , A52264 218 34 so so RB A52264 218 35 two two CD A52264 218 36 times time NNS A52264 218 37 eight eight CD A52264 218 38 is be VBZ A52264 218 39 16 16 CD A52264 218 40 , , , A52264 218 41 and and CC A52264 218 42 therefore therefore RB A52264 218 43 what what WP A52264 218 44 hath hath NNP A52264 218 45 been be VBN A52264 218 46 said say VBD A52264 218 47 of of IN A52264 218 48 four four CD A52264 218 49 proportionals proportional NNS A52264 218 50 , , , A52264 218 51 is be VBZ A52264 218 52 to to TO A52264 218 53 be be VB A52264 218 54 understood understand VBN A52264 218 55 of of IN A52264 218 56 three three CD A52264 218 57 proportionals proportional NNS A52264 218 58 also also RB A52264 218 59 . . . A52264 219 1 12 12 CD A52264 219 2 . . . A52264 220 1 Theor Theor NNP A52264 220 2 . . . A52264 221 1 If if IN A52264 221 2 a a DT A52264 221 3 right right JJ A52264 221 4 line line NN A52264 221 5 being be VBG A52264 221 6 divided divide VBN A52264 221 7 into into IN A52264 221 8 two two CD A52264 221 9 equal equal JJ A52264 221 10 parts part NNS A52264 221 11 , , , A52264 221 12 shall shall MD A52264 221 13 be be VB A52264 221 14 continued continue VBN A52264 221 15 at at IN A52264 221 16 pleasure pleasure NN A52264 221 17 , , , A52264 221 18 then then RB A52264 221 19 is be VBZ A52264 221 20 the the DT A52264 221 21 right right RB A52264 221 22 angled angle VBN A52264 221 23 figure figure NN A52264 221 24 made make VBN A52264 221 25 of of IN A52264 221 26 the the DT A52264 221 27 line line NN A52264 221 28 continued continue VBN A52264 221 29 , , , A52264 221 30 and and CC A52264 221 31 the the DT A52264 221 32 line line NN A52264 221 33 of of IN A52264 221 34 continuation continuation NN A52264 221 35 , , , A52264 221 36 with with IN A52264 221 37 the the DT A52264 221 38 square square NN A52264 221 39 of of IN A52264 221 40 one one CD A52264 221 41 of of IN A52264 221 42 the the DT A52264 221 43 bi bi NN A52264 221 44 - - NN A52264 221 45 segments segment NNS A52264 221 46 , , , A52264 221 47 equal equal JJ A52264 221 48 to to IN A52264 221 49 a a DT A52264 221 50 square square NN A52264 221 51 made make VBN A52264 221 52 of of IN A52264 221 53 one one CD A52264 221 54 of of IN A52264 221 55 the the DT A52264 221 56 bi bi NN A52264 221 57 - - NN A52264 221 58 segments segment NNS A52264 221 59 and and CC A52264 221 60 the the DT A52264 221 61 line line NN A52264 221 62 of of IN A52264 221 63 continuation continuation NN A52264 221 64 . . . A52264 222 1 The the DT A52264 222 2 line line NN A52264 222 3 PQ PQ NNP A52264 222 4 is be VBZ A52264 222 5 divided divide VBN A52264 222 6 into into IN A52264 222 7 two two CD A52264 222 8 equal equal JJ A52264 222 9 parts part NNS A52264 222 10 , , , A52264 222 11 the the DT A52264 222 12 midst midst NN A52264 222 13 is be VBZ A52264 222 14 C C NNP A52264 222 15 , , , A52264 222 16 to to IN A52264 222 17 the the DT A52264 222 18 same same JJ A52264 222 19 is be VBZ A52264 222 20 added add VBN A52264 222 21 a a DT A52264 222 22 right right JJ A52264 222 23 line line NN A52264 222 24 , , , A52264 222 25 as as IN A52264 222 26 QN QN NNP A52264 222 27 ; ; : A52264 222 28 and and CC A52264 222 29 of of IN A52264 222 30 the the DT A52264 222 31 whole whole JJ A52264 222 32 line line NN A52264 222 33 PQ PQ NNP A52264 222 34 , , , A52264 222 35 and and CC A52264 222 36 the the DT A52264 222 37 added add VBN A52264 222 38 line line NN A52264 222 39 QN QN NNP A52264 222 40 is be VBZ A52264 222 41 made make VBN A52264 222 42 PN PN NNP A52264 222 43 as as IN A52264 222 44 one one CD A52264 222 45 line line NN A52264 222 46 , , , A52264 222 47 and and CC A52264 222 48 of of IN A52264 222 49 this this DT A52264 222 50 line line NN A52264 222 51 PN PN NNP A52264 222 52 , , , A52264 222 53 and and CC A52264 222 54 the the DT A52264 222 55 added add VBN A52264 222 56 line line NN A52264 222 57 QN QN NNP A52264 222 58 is be VBZ A52264 222 59 inclosed inclose VBN A52264 222 60 the the DT A52264 222 61 right right JJ A52264 222 62 angled angle VBN A52264 222 63 figure figure NN A52264 222 64 ● ● . A52264 222 65 M m NN A52264 222 66 , , , A52264 222 67 and and CC A52264 222 68 upon upon IN A52264 222 69 the the DT A52264 222 70 halfe halfe NN A52264 222 71 line line NN A52264 222 72 CQ CQ NNP A52264 222 73 and and CC A52264 222 74 the the DT A52264 222 75 line line NN A52264 222 76 of of IN A52264 222 77 continuation continuation NN A52264 222 78 QN QN NNP A52264 222 79 is be VBZ A52264 222 80 made make VBN A52264 222 81 the the DT A52264 222 82 square square JJ A52264 222 83 CF cf NN A52264 222 84 . . . A52264 223 1 Now now RB A52264 223 2 if if IN A52264 223 3 you -PRON- PRP A52264 223 4 draw draw VBP A52264 223 5 the the DT A52264 223 6 line line NN A52264 223 7 QG QG NNP A52264 223 8 parallel parallel NN A52264 223 9 to to IN A52264 223 10 NF NF NNP A52264 223 11 , , , A52264 223 12 and and CC A52264 223 13 equal equal JJ A52264 223 14 to to IN A52264 223 15 the the DT A52264 223 16 same same JJ A52264 223 17 , , , A52264 223 18 then then RB A52264 223 19 is be VBZ A52264 223 20 the the DT A52264 223 21 right right RB A52264 223 22 angled angle VBN A52264 223 23 figure figure NN A52264 223 24 ● ● . A52264 223 25 M m NN A52264 223 26 with with IN A52264 223 27 the the DT A52264 223 28 square square NN A52264 223 29 of of IN A52264 223 30 CQ CQ NNP A52264 223 31 that that WDT A52264 223 32 is be VBZ A52264 223 33 , , , A52264 223 34 the the DT A52264 223 35 square square JJ A52264 223 36 IG IG NNP A52264 223 37 , , , A52264 223 38 equal equal JJ A52264 223 39 to to IN A52264 223 40 the the DT A52264 223 41 square square NN A52264 223 42 of of IN A52264 223 43 CN CN NNP A52264 223 44 , , , A52264 223 45 that that RB A52264 223 46 is is RB A52264 223 47 , , , A52264 223 48 the the DT A52264 223 49 square square JJ A52264 223 50 CF cf NN A52264 223 51 . . . A52264 224 1 Demonstration demonstration NN A52264 224 2 . . . A52264 225 1 Forasmuch forasmuch NN A52264 225 2 as as IN A52264 225 3 CQ CQ NNP A52264 225 4 is be VBZ A52264 225 5 equal equal JJ A52264 225 6 unto unto IN A52264 225 7 MF MF NNP A52264 225 8 , , , A52264 225 9 the the DT A52264 225 10 which which WDT A52264 225 11 is be VBZ A52264 225 12 also also RB A52264 225 13 equal equal JJ A52264 225 14 unto unto IN A52264 225 15 IO IO NNP A52264 225 16 or or CC A52264 225 17 I i NN A52264 225 18 L l NN A52264 225 19 , , , A52264 225 20 it -PRON- PRP A52264 225 21 followeth followeth VBD A52264 225 22 that that IN A52264 225 23 IG IG NNP A52264 225 24 is be VBZ A52264 225 25 a a DT A52264 225 26 Square Square NNP A52264 225 27 , , , A52264 225 28 which which WDT A52264 225 29 with with IN A52264 225 30 the the DT A52264 225 31 right right JJ A52264 225 32 angled angle VBN A52264 225 33 figure figure NN A52264 225 34 PM pm NN A52264 225 35 is be VBZ A52264 225 36 equal equal JJ A52264 225 37 to to IN A52264 225 38 the the DT A52264 225 39 square square JJ A52264 225 40 CF cf NN A52264 225 41 , , , A52264 225 42 because because IN A52264 225 43 the the DT A52264 225 44 right right NN A52264 225 45 angled angle VBN A52264 225 46 figure figure NN A52264 225 47 GM GM NNP A52264 225 48 is be VBZ A52264 225 49 equal equal JJ A52264 225 50 to to IN A52264 225 51 CO CO NNP A52264 225 52 , , , A52264 225 53 which which WDT A52264 225 54 is be VBZ A52264 225 55 also also RB A52264 225 56 equal equal JJ A52264 225 57 to to IN A52264 225 58 PI PI NNP A52264 225 59 . . . A52264 226 1 13 13 CD A52264 226 2 . . . A52264 227 1 Theor Theor NNP A52264 227 2 . . . A52264 228 1 To to TO A52264 228 2 divide divide VB A52264 228 3 a a DT A52264 228 4 right right JJ A52264 228 5 line line NN A52264 228 6 in in IN A52264 228 7 two two CD A52264 228 8 parts part NNS A52264 228 9 , , , A52264 228 10 so so IN A52264 228 11 that that IN A52264 228 12 the the DT A52264 228 13 right right NN A52264 228 14 , , , A52264 228 15 angled angle VBN A52264 228 16 figure figure NN A52264 228 17 made make VBN A52264 228 18 of of IN A52264 228 19 the the DT A52264 228 20 whole whole JJ A52264 228 21 line line NN A52264 228 22 and and CC A52264 228 23 one one CD A52264 228 24 part part NN A52264 228 25 shall shall MD A52264 228 26 be be VB A52264 228 27 equal equal JJ A52264 228 28 to to IN A52264 228 29 the the DT A52264 228 30 square square NN A52264 228 31 of of IN A52264 228 32 the the DT A52264 228 33 other other JJ A52264 228 34 part part NN A52264 228 35 . . . A52264 229 1 The the DT A52264 229 2 right right JJ A52264 229 3 line line NN A52264 229 4 given give VBN A52264 229 5 is be VBZ A52264 229 6 AB AB NNP A52264 229 7 , , , A52264 229 8 upon upon IN A52264 229 9 the the DT A52264 229 10 same same JJ A52264 229 11 line line NN A52264 229 12 AB AB NNP A52264 229 13 , , , A52264 229 14 make make VB A52264 229 15 a a DT A52264 229 16 square square NN A52264 229 17 , , , A52264 229 18 as as IN A52264 229 19 ABCD ABCD NNP A52264 229 20 ; ; : A52264 229 21 and and CC A52264 229 22 divide divide VB A52264 229 23 the the DT A52264 229 24 side side NN A52264 229 25 AD ad NN A52264 229 26 in in IN A52264 229 27 two two CD A52264 229 28 equal equal JJ A52264 229 29 parts part NNS A52264 229 30 , , , A52264 229 31 the the DT A52264 229 32 midst midst NN A52264 229 33 is be VBZ A52264 229 34 M M NNP A52264 229 35 , , , A52264 229 36 from from IN A52264 229 37 M M NNP A52264 229 38 draw draw VB A52264 229 39 a a DT A52264 229 40 line line NN A52264 229 41 to to IN A52264 229 42 B b NN A52264 229 43 , , , A52264 229 44 and and CC A52264 229 45 produce produce VB A52264 229 46 AD ad NN A52264 229 47 to to IN A52264 229 48 H h NN A52264 229 49 , , , A52264 229 50 so so IN A52264 229 51 that that IN A52264 229 52 MH MH NNP A52264 229 53 be be VB A52264 229 54 equal equal JJ A52264 229 55 to to IN A52264 229 56 MB mb NN A52264 229 57 ; ; : A52264 229 58 and and CC A52264 229 59 upon upon IN A52264 229 60 AH AH NNP A52264 229 61 make make VBP A52264 229 62 a a DT A52264 229 63 square square NN A52264 229 64 , , , A52264 229 65 as as IN A52264 229 66 AHGF AHGF NNP A52264 229 67 . . . A52264 230 1 Then then RB A52264 230 2 extend extend VB A52264 230 3 GF GF NNP A52264 230 4 to to IN A52264 230 5 E e NN A52264 230 6 , , , A52264 230 7 and and CC A52264 230 8 then then RB A52264 230 9 is be VBZ A52264 230 10 the the DT A52264 230 11 right right RB A52264 230 12 angled angle VBN A52264 230 13 figure figure NN A52264 230 14 FC FC NNP A52264 230 15 , , , A52264 230 16 being be VBG A52264 230 17 made make VBN A52264 230 18 of of IN A52264 230 19 the the DT A52264 230 20 whole whole JJ A52264 230 21 line line NN A52264 230 22 FE FE NNP A52264 230 23 ( ( -LRB- A52264 230 24 which which WDT A52264 230 25 is be VBZ A52264 230 26 equal equal JJ A52264 230 27 to to IN A52264 230 28 AB AB NNP A52264 230 29 ) ) -RRB- A52264 230 30 and and CC A52264 230 31 the the DT A52264 230 32 part part NN A52264 230 33 BF BF NNP A52264 230 34 , , , A52264 230 35 equall equall JJ A52264 230 36 to to IN A52264 230 37 the the DT A52264 230 38 square square NN A52264 230 39 of of IN A52264 230 40 the the DT A52264 230 41 other other JJ A52264 230 42 part part NN A52264 230 43 AF AF NNP A52264 230 44 , , , A52264 230 45 that that RB A52264 230 46 is is RB A52264 230 47 , , , A52264 230 48 to to IN A52264 230 49 the the DT A52264 230 50 square square JJ A52264 230 51 AHGF AHGF NNP A52264 230 52 . . . A52264 231 1 Forasmuch forasmuch VB A52264 231 2 as as IN A52264 231 3 by by IN A52264 231 4 the the DT A52264 231 5 last last JJ A52264 231 6 aforegoing aforegoing NN A52264 231 7 , , , A52264 231 8 the the DT A52264 231 9 right right RB A52264 231 10 angled angle VBN A52264 231 11 figure figure NN A52264 231 12 comprehended comprehend VBN A52264 231 13 of of IN A52264 231 14 HD HD NNP A52264 231 15 and and CC A52264 231 16 HA HA NNP A52264 231 17 , , , A52264 231 18 or or CC A52264 231 19 the the DT A52264 231 20 right right JJ A52264 231 21 angled angle VBN A52264 231 22 figure figure NN A52264 231 23 of of IN A52264 231 24 HD hd NN A52264 231 25 and and CC A52264 231 26 HG HG NNP A52264 231 27 , , , A52264 231 28 as as IN A52264 231 29 the the DT A52264 231 30 figure figure NN A52264 231 31 GHED GHED NNP A52264 231 32 , , , A52264 231 33 with with IN A52264 231 34 the the DT A52264 231 35 square square NN A52264 231 36 of of IN A52264 231 37 AM AM NNP A52264 231 38 , , , A52264 231 39 are be VBP A52264 231 40 together together RB A52264 231 41 equal equal JJ A52264 231 42 to to IN A52264 231 43 the the DT A52264 231 44 square square NN A52264 231 45 of of IN A52264 231 46 HM HM NNP A52264 231 47 , , , A52264 231 48 being be VBG A52264 231 49 equall equall JJ A52264 231 50 to to IN A52264 231 51 BM BM NNP A52264 231 52 : : : A52264 231 53 it -PRON- PRP A52264 231 54 followeth followeth VBD A52264 231 55 , , , A52264 231 56 that that IN A52264 231 57 if if IN A52264 231 58 we -PRON- PRP A52264 231 59 take take VBP A52264 231 60 away away RB A52264 231 61 the the DT A52264 231 62 square square NN A52264 231 63 ● ● . A52264 231 64 f f NN A52264 231 65 AM am NN A52264 231 66 , , , A52264 231 67 common common JJ A52264 231 68 to to IN A52264 231 69 both both DT A52264 231 70 , , , A52264 231 71 that that IN A52264 231 72 the the DT A52264 231 73 square square NN A52264 231 74 ● ● . A52264 231 75 f f NN A52264 231 76 AB AB NNP A52264 231 77 , , , A52264 231 78 that that RB A52264 231 79 is is RB A52264 231 80 , , , A52264 231 81 the the DT A52264 231 82 square square JJ A52264 231 83 ABCD ABCD NNP A52264 231 84 is be VBZ A52264 231 85 equal equal JJ A52264 231 86 ● ● . A52264 231 87 o o NN A52264 231 88 the the DT A52264 231 89 right right NN A52264 231 90 angled angle VBN A52264 231 91 figure figure NN A52264 231 92 HGED HGED NNP A52264 231 93 , , , A52264 231 94 and and CC A52264 231 95 the the DT A52264 231 96 ● ● NFP A52264 231 97 ommon ommon NN A52264 231 98 right right UH A52264 231 99 angled angle VBN A52264 231 100 figure figure NN A52264 231 101 AE AE NNP A52264 231 102 being be VBG A52264 231 103 taken take VBN A52264 231 104 from from IN A52264 231 105 them -PRON- PRP A52264 231 106 both both DT A52264 231 107 , , , A52264 231 108 there there EX A52264 231 109 shall shall MD A52264 231 110 remain remain VB A52264 231 111 the the DT A52264 231 112 right right RB A52264 231 113 angled angle VBN A52264 231 114 figure figure NN A52264 231 115 FC FC NNP A52264 231 116 , , , A52264 231 117 equal equal JJ A52264 231 118 to to IN A52264 231 119 the the DT A52264 231 120 square square NN A52264 231 121 ● ● . A52264 231 122 HFG HFG NNP A52264 231 123 , , , A52264 231 124 which which WDT A52264 231 125 was be VBD A52264 231 126 to to TO A52264 231 127 be be VB A52264 231 128 proved prove VBN A52264 231 129 . . . A52264 232 1 14 14 CD A52264 232 2 Theor Theor NNP A52264 232 3 . . . A52264 233 1 To to TO A52264 233 2 divide divide VB A52264 233 3 a a DT A52264 233 4 right right JJ A52264 233 5 line line NN A52264 233 6 given give VBN A52264 233 7 by by IN A52264 233 8 extream extream JJ A52264 233 9 and and CC A52264 233 10 mean mean JJ A52264 233 11 proportion proportion NN A52264 233 12 . . . A52264 234 1 A a DT A52264 234 2 right right JJ A52264 234 3 line line NN A52264 234 4 is be VBZ A52264 234 5 said say VBN A52264 234 6 to to TO A52264 234 7 be be VB A52264 234 8 divided divide VBN A52264 234 9 by by IN A52264 234 10 an an DT A52264 234 11 extream extream JJ A52264 234 12 and and CC A52264 234 13 mean mean JJ A52264 234 14 proportion proportion NN A52264 234 15 , , , A52264 234 16 when when WRB A52264 234 17 the the DT A52264 234 18 whole whole NN A52264 234 19 is be VBZ A52264 234 20 to to IN A52264 234 21 the the DT A52264 234 22 greater great JJR A52264 234 23 part part NN A52264 234 24 , , , A52264 234 25 as as IN A52264 234 26 the the DT A52264 234 27 greater great JJR A52264 234 28 is be VBZ A52264 234 29 to to IN A52264 234 30 the the DT A52264 234 31 lesse lesse NN A52264 234 32 . . . A52264 235 1 And and CC A52264 235 2 thus thus RB A52264 235 3 a a DT A52264 235 4 right right JJ A52264 235 5 line line NN A52264 235 6 being be VBG A52264 235 7 divided divide VBN A52264 235 8 , , , A52264 235 9 as as IN A52264 235 10 the the DT A52264 235 11 right right JJ A52264 235 12 line line NN A52264 235 13 AB AB NNP A52264 235 14 is be VBZ A52264 235 15 divided divide VBN A52264 235 16 in in IN A52264 235 17 the the DT A52264 235 18 preceding precede VBG A52264 235 19 Diagram Diagram NNP A52264 235 20 in in IN A52264 235 21 the the DT A52264 235 22 point point NN A52264 235 23 F f NN A52264 235 24 , , , A52264 235 25 it -PRON- PRP A52264 235 26 is be VBZ A52264 235 27 divided divide VBN A52264 235 28 in in IN A52264 235 29 extream extream JJ A52264 235 30 and and CC A52264 235 31 mean mean JJ A52264 235 32 proportion proportion NN A52264 235 33 ; ; : A52264 235 34 that that RB A52264 235 35 is is RB A52264 235 36 , , , A52264 235 37 As as IN A52264 235 38 AB AB NNP A52264 235 39 , , , A52264 235 40 is be VBZ A52264 235 41 to to IN A52264 235 42 AF AF NNP A52264 235 43 : : : A52264 235 44 so so RB A52264 235 45 is be VBZ A52264 235 46 AF AF NNP A52264 235 47 , , , A52264 235 48 to to IN A52264 235 49 BF BF NNP A52264 235 50 . . . A52264 236 1 Demonstration demonstration NN A52264 236 2 . . . A52264 237 1 Forasmuch forasmuch NN A52264 237 2 as as IN A52264 237 3 the the DT A52264 237 4 right right JJ A52264 237 5 lined line VBN A52264 237 6 figure figure NN A52264 237 7 included include VBN A52264 237 8 with with IN A52264 237 9 AB AB NNP A52264 237 10 and and CC A52264 237 11 FB FB NNP A52264 237 12 , , , A52264 237 13 as as IN A52264 237 14 the the DT A52264 237 15 figure figure NN A52264 237 16 FBCE FBCE NNP A52264 237 17 is be VBZ A52264 237 18 equal equal JJ A52264 237 19 to to IN A52264 237 20 the the DT A52264 237 21 square square NN A52264 237 22 of of IN A52264 237 23 AF AF NNP A52264 237 24 , , , A52264 237 25 that that RB A52264 237 26 is is RB A52264 237 27 , , , A52264 237 28 to to IN A52264 237 29 the the DT A52264 237 30 square square JJ A52264 237 31 AFGH afgh NN A52264 237 32 ; ; : A52264 237 33 it -PRON- PRP A52264 237 34 followeth followeth VBD A52264 237 35 , , , A52264 237 36 by by IN A52264 237 37 the the DT A52264 237 38 eleventh eleventh JJ A52264 237 39 Theorem Theorem NNP A52264 237 40 of of IN A52264 237 41 this this DT A52264 237 42 Chapter chapter NN A52264 237 43 , , , A52264 237 44 that that IN A52264 237 45 the the DT A52264 237 46 line line NN A52264 237 47 AB AB NNP A52264 237 48 is be VBZ A52264 237 49 divided divide VBN A52264 237 50 in in IN A52264 237 51 extream extream JJ A52264 237 52 and and CC A52264 237 53 mean mean JJ A52264 237 54 proportion proportion NN A52264 237 55 ; ; : A52264 237 56 that that RB A52264 237 57 is is RB A52264 237 58 , , , A52264 237 59 As as IN A52264 237 60 AB AB NNP A52264 237 61 , , , A52264 237 62 is be VBZ A52264 237 63 to to IN A52264 237 64 AF AF NNP A52264 237 65 : : : A52264 237 66 So so RB A52264 237 67 is be VBZ A52264 237 68 AF AF NNP A52264 237 69 , , , A52264 237 70 to to IN A52264 237 71 FB FB NNP A52264 237 72 . . . A52264 238 1 15 15 CD A52264 238 2 Theor Theor NNP A52264 238 3 . . . A52264 239 1 In in IN A52264 239 2 all all DT A52264 239 3 plain plain JJ A52264 239 4 Triangles triangle NNS A52264 239 5 , , , A52264 239 6 a a DT A52264 239 7 line line NN A52264 239 8 drawn draw VBN A52264 239 9 parallel parallel RB A52264 239 10 to to IN A52264 239 11 any any DT A52264 239 12 of of IN A52264 239 13 the the DT A52264 239 14 sides side NNS A52264 239 15 , , , A52264 239 16 cutteth cutteth VB A52264 239 17 the the DT A52264 239 18 other other JJ A52264 239 19 two two CD A52264 239 20 sides side NNS A52264 239 21 proportionally proportionally RB A52264 239 22 . . . A52264 240 1 As as IN A52264 240 2 in in IN A52264 240 3 the the DT A52264 240 4 plain plain JJ A52264 240 5 Triangle Triangle NNP A52264 240 6 ABC ABC NNP A52264 240 7 , , , A52264 240 8 KL KL NNP A52264 240 9 being be VBG A52264 240 10 parallel parallel NN A52264 240 11 to to IN A52264 240 12 the the DT A52264 240 13 base base NN A52264 240 14 BC BC NNP A52264 240 15 , , , A52264 240 16 it -PRON- PRP A52264 240 17 cutteth cutteth VBP A52264 240 18 off off RP A52264 240 19 from from IN A52264 240 20 the the DT A52264 240 21 side side NN A52264 240 22 AC AC NNP A52264 240 23 one one CD A52264 240 24 fourth fourth NN A52264 240 25 , , , A52264 240 26 and and CC A52264 240 27 also also RB A52264 240 28 it -PRON- PRP A52264 240 29 cutteth cutteth VB A52264 240 30 off off RP A52264 240 31 from from IN A52264 240 32 the the DT A52264 240 33 side side NN A52264 240 34 AB AB NNP A52264 240 35 one one CD A52264 240 36 third third JJ A52264 240 37 part part NN A52264 240 38 : : : A52264 240 39 the the DT A52264 240 40 reason reason NN A52264 240 41 is be VBZ A52264 240 42 , , , A52264 240 43 because because IN A52264 240 44 the the DT A52264 240 45 right right JJ A52264 240 46 line line NN A52264 240 47 EH EH NNP A52264 240 48 cutteth cutteth VBP A52264 240 49 off off IN A52264 240 50 one one CD A52264 240 51 third third JJ A52264 240 52 part part NN A52264 240 53 from from IN A52264 240 54 the the DT A52264 240 55 whole whole JJ A52264 240 56 space space NN A52264 240 57 DGFB DGFB NNP A52264 240 58 , , , A52264 240 59 & & CC A52264 240 60 therefore therefore RB A52264 240 61 it -PRON- PRP A52264 240 62 cutteth cutteth VBP A52264 240 63 off off RB A52264 240 64 one one CD A52264 240 65 third third JJ A52264 240 66 part part NN A52264 240 67 from from IN A52264 240 68 all all PDT A52264 240 69 the the DT A52264 240 70 lines line NNS A52264 240 71 that that WDT A52264 240 72 are be VBP A52264 240 73 drawn draw VBN A52264 240 74 quite quite RB A52264 240 75 through through IN A52264 240 76 that that DT A52264 240 77 space space NN A52264 240 78 . . . A52264 241 1 And and CC A52264 241 2 hereupon hereupon VBZ A52264 241 3 parallel parallel JJ A52264 241 4 lines line NNS A52264 241 5 bounded bound VBN A52264 241 6 with with IN A52264 241 7 parallels parallel NNS A52264 241 8 are be VBP A52264 241 9 equal equal JJ A52264 241 10 ; ; : A52264 241 11 as as IN A52264 241 12 the the DT A52264 241 13 parallels parallel NNS A52264 241 14 ED ED NNP A52264 241 15 and and CC A52264 241 16 GH GH NNP A52264 241 17 being be VBG A52264 241 18 bounded bound VBN A52264 241 19 with with IN A52264 241 20 the the DT A52264 241 21 parallels parallel NNS A52264 241 22 DG DG NNP A52264 241 23 and and CC A52264 241 24 HE he PRP A52264 241 25 are be VBP A52264 241 26 equal equal JJ A52264 241 27 , , , A52264 241 28 for for IN A52264 241 29 since since IN A52264 241 30 the the DT A52264 241 31 whole whole JJ A52264 241 32 lines line NNS A52264 241 33 DB DB NNP A52264 241 34 and and CC A52264 241 35 GF GF NNP A52264 241 36 are be VBP A52264 241 37 equall equall JJ A52264 241 38 , , , A52264 241 39 DE DE NNP A52264 241 40 and and CC A52264 241 41 GH GH NNP A52264 241 42 being be VBG A52264 241 43 one one CD A52264 241 44 fourth fourth JJ A52264 241 45 part part NN A52264 241 46 thereof thereof RB A52264 241 47 , , , A52264 241 48 must must MD A52264 241 49 needs needs VB A52264 241 50 be be VB A52264 241 51 equal equal JJ A52264 241 52 also also RB A52264 241 53 . . . A52264 242 1 16 16 CD A52264 242 2 Theor Theor NNP A52264 242 3 . . . A52264 243 1 Equiangled equiangle VBN A52264 243 2 Triangles Triangles NNPS A52264 243 3 have have VBP A52264 243 4 their -PRON- PRP$ A52264 243 5 sides side NNS A52264 243 6 about about IN A52264 243 7 the the DT A52264 243 8 equall equall NN A52264 243 9 angles angle NNS A52264 243 10 proportionall proportionall NNP A52264 243 11 , , , A52264 243 12 and and CC A52264 243 13 contrarily contrarily RB A52264 243 14 . . . A52264 244 1 Let let VB A52264 244 2 ABC ABC NNP A52264 244 3 and and CC A52264 244 4 ADE ADE NNP A52264 244 5 be be VB A52264 244 6 two two CD A52264 244 7 plain plain JJ A52264 244 8 equiangled equiangle VBN A52264 244 9 Triangles Triangles NNPS A52264 244 10 , , , A52264 244 11 so so IN A52264 244 12 as as IN A52264 244 13 the the DT A52264 244 14 angles angle NNS A52264 244 15 at at IN A52264 244 16 B b NN A52264 244 17 and and CC A52264 244 18 D D NNP A52264 244 19 , , , A52264 244 20 at at IN A52264 244 21 A a NN A52264 244 22 and and CC A52264 244 23 A A NNP A52264 244 24 , , , A52264 244 25 and and CC A52264 244 26 also also RB A52264 244 27 at at IN A52264 244 28 C c NN A52264 244 29 and and CC A52264 244 30 E e NN A52264 244 31 be be VB A52264 244 32 equal equal JJ A52264 244 33 one one CD A52264 244 34 to to IN A52264 244 35 the the DT A52264 244 36 other other JJ A52264 244 37 ; ; : A52264 244 38 I -PRON- PRP A52264 244 39 say say VBP A52264 244 40 , , , A52264 244 41 their -PRON- PRP$ A52264 244 42 sides side NNS A52264 244 43 about about IN A52264 244 44 the the DT A52264 244 45 equal equal JJ A52264 244 46 angles angle NNS A52264 244 47 are be VBP A52264 244 48 proportionall proportionall JJ A52264 244 49 ; ; : A52264 244 50 that that RB A52264 244 51 is is RB A52264 244 52 , , , A52264 244 53 1 1 CD A52264 244 54 As as IN A52264 244 55 AB AB NNP A52264 244 56 , , , A52264 244 57 is be VBZ A52264 244 58 to to IN A52264 244 59 BC BC NNP A52264 244 60 : : : A52264 244 61 So so RB A52264 244 62 is be VBZ A52264 244 63 AD ad NN A52264 244 64 , , , A52264 244 65 to to IN A52264 244 66 ED ED NNP A52264 244 67 . . . A52264 245 1 2 2 CD A52264 245 2 As as IN A52264 245 3 AB AB NNP A52264 245 4 , , , A52264 245 5 is be VBZ A52264 245 6 to to IN A52264 245 7 AC AC NNP A52264 245 8 : : : A52264 245 9 So so RB A52264 245 10 is be VBZ A52264 245 11 AD ad NN A52264 245 12 , , , A52264 245 13 to to IN A52264 245 14 AE AE NNP A52264 245 15 . . . A52264 246 1 3 3 LS A52264 246 2 As as IN A52264 246 3 AC AC NNP A52264 246 4 , , , A52264 246 5 is be VBZ A52264 246 6 to to IN A52264 246 7 CB CB NNP A52264 246 8 : : : A52264 246 9 So so RB A52264 246 10 is be VBZ A52264 246 11 AE AE NNP A52264 246 12 , , , A52264 246 13 to to IN A52264 246 14 ED ED NNP A52264 246 15 . . . A52264 247 1 Demonstration demonstration NN A52264 247 2 . . . A52264 248 1 Because because IN A52264 248 2 the the DT A52264 248 3 angles angle NNS A52264 248 4 BAC BAC NNP A52264 248 5 and and CC A52264 248 6 DAE DAE NNP A52264 248 7 are be VBP A52264 248 8 equal equal JJ A52264 248 9 by by IN A52264 248 10 the the DT A52264 248 11 Proposition Proposition NNP A52264 248 12 ; ; : A52264 248 13 therefore therefore RB A52264 248 14 if if IN A52264 248 15 A a NN A52264 248 16 + + SYM A52264 248 17 B b NN A52264 248 18 be be VB A52264 248 19 applied apply VBN A52264 248 20 to to IN A52264 248 21 AD ad NN A52264 248 22 , , , A52264 248 23 AC AC NNP A52264 248 24 shall shall MD A52264 248 25 fall fall VB A52264 248 26 in in IN A52264 248 27 AE AE NNP A52264 248 28 ; ; : A52264 248 29 and and CC A52264 248 30 by by IN A52264 248 31 such such JJ A52264 248 32 application application NN A52264 248 33 is be VBZ A52264 248 34 this this DT A52264 248 35 figure figure NN A52264 248 36 made make VBN A52264 248 37 . . . A52264 249 1 In in IN A52264 249 2 which which WDT A52264 249 3 , , , A52264 249 4 because because IN A52264 249 5 that that DT A52264 249 6 AB ab NN A52264 249 7 and and CC A52264 249 8 AD ad NN A52264 249 9 do do VBP A52264 249 10 meet meet VB A52264 249 11 together together RB A52264 249 12 , , , A52264 249 13 and and CC A52264 249 14 also also RB A52264 249 15 that that IN A52264 249 16 the the DT A52264 249 17 angles angle NNS A52264 249 18 at at IN A52264 249 19 B b NN A52264 249 20 and and CC A52264 249 21 D D NNP A52264 249 22 are be VBP A52264 249 23 equall equall JJ A52264 249 24 , , , A52264 249 25 by by IN A52264 249 26 the the DT A52264 249 27 Proposition Proposition NNP A52264 249 28 ; ; : A52264 249 29 therefore therefore RB A52264 249 30 the the DT A52264 249 31 other other JJ A52264 249 32 sides side NNS A52264 249 33 BC BC NNP A52264 249 34 and and CC A52264 249 35 DE DE NNP A52264 249 36 are be VBP A52264 249 37 parallel parallel JJ A52264 249 38 ; ; : A52264 249 39 and and CC A52264 249 40 , , , A52264 249 41 by by IN A52264 249 42 the the DT A52264 249 43 last last JJ A52264 249 44 aforegoing aforegoing NN A52264 249 45 , , , A52264 249 46 BC BC NNP A52264 249 47 cutteth cutteth VBP A52264 249 48 the the DT A52264 249 49 sides side NNS A52264 249 50 AD AD NNP A52264 249 51 and and CC A52264 249 52 AE AE NNP A52264 249 53 proportionally proportionally RB A52264 249 54 : : : A52264 249 55 and and CC A52264 249 56 therefore therefore RB A52264 249 57 , , , A52264 249 58 As as IN A52264 249 59 AB AB NNP A52264 249 60 , , , A52264 249 61 to to IN A52264 249 62 AD ad NN A52264 249 63 : : : A52264 249 64 So so RB A52264 249 65 is be VBZ A52264 249 66 AC AC NNP A52264 249 67 , , , A52264 249 68 to to IN A52264 249 69 AE AE NNP A52264 249 70 . . . A52264 250 1 Moreover moreover RB A52264 250 2 , , , A52264 250 3 by by IN A52264 250 4 the the DT A52264 250 5 point point NN A52264 250 6 B B NNP A52264 250 7 , , , A52264 250 8 let let VB A52264 250 9 there there EX A52264 250 10 be be VB A52264 250 11 drawn draw VBN A52264 250 12 the the DT A52264 250 13 right right JJ A52264 250 14 line line NN A52264 250 15 BF BF NNP A52264 250 16 parallel parallel NN A52264 250 17 to to IN A52264 250 18 the the DT A52264 250 19 base base NN A52264 250 20 AE ae RB A52264 250 21 , , , A52264 250 22 and and CC A52264 250 23 it -PRON- PRP A52264 250 24 shall shall MD A52264 250 25 cut cut VB A52264 250 26 the the DT A52264 250 27 other other JJ A52264 250 28 two two CD A52264 250 29 sides side NNS A52264 250 30 proportionally proportionally RB A52264 250 31 in in IN A52264 250 32 the the DT A52264 250 33 points point NNS A52264 250 34 B B NNP A52264 250 35 and and CC A52264 250 36 F F NNP A52264 250 37 , , , A52264 250 38 and and CC A52264 250 39 therefore therefore RB A52264 250 40 , , , A52264 250 41 1 1 CD A52264 250 42 . . . A52264 251 1 As as IN A52264 251 2 AB ab NN A52264 251 3 to to IN A52264 251 4 AD ad NN A52264 251 5 : : : A52264 251 6 so so RB A52264 251 7 is be VBZ A52264 251 8 EF EF NNP A52264 251 9 to to IN A52264 251 10 ED ED NNP A52264 251 11 , , , A52264 251 12 Or or CC A52264 251 13 thus thus RB A52264 251 14 . . . A52264 252 1 As as IN A52264 252 2 AB ab NN A52264 252 3 to to IN A52264 252 4 AD ad NN A52264 252 5 : : : A52264 252 6 so so RB A52264 252 7 is be VBZ A52264 252 8 CB CB NNP A52264 252 9 to to IN A52264 252 10 ED ED NNP A52264 252 11 : : : A52264 252 12 because because IN A52264 252 13 that that DT A52264 252 14 FE FE NNP A52264 252 15 and and CC A52264 252 16 BC BC NNP A52264 252 17 are be VBP A52264 252 18 equal equal JJ A52264 252 19 , , , A52264 252 20 by by IN A52264 252 21 the the DT A52264 252 22 last last JJ A52264 252 23 aforegoing aforegoing NN A52264 252 24 . . . A52264 253 1 1 1 LS A52264 253 2 . . . A52264 254 1 Theor Theor NNP A52264 254 2 . . . A52264 255 1 In in IN A52264 255 2 all all DT A52264 255 3 right right RB A52264 255 4 angled angle VBN A52264 255 5 plain plain JJ A52264 255 6 Triangles Triangles NNPS A52264 255 7 , , , A52264 255 8 the the DT A52264 255 9 sides side NNS A52264 255 10 including include VBG A52264 255 11 the the DT A52264 255 12 right right JJ A52264 255 13 angle angle NN A52264 255 14 are be VBP A52264 255 15 equal equal JJ A52264 255 16 to to IN A52264 255 17 the the DT A52264 255 18 the the DT A52264 255 19 third third JJ A52264 255 20 side side NN A52264 255 21 . . . A52264 256 1 In in IN A52264 256 2 the the DT A52264 256 3 right right NN A52264 256 4 angled angle VBN A52264 256 5 plain plain JJ A52264 256 6 triangle triangle NN A52264 256 7 ABC ABC NNP A52264 256 8 , , , A52264 256 9 right right RB A52264 256 10 angled angle VBD A52264 256 11 at at IN A52264 256 12 B b NN A52264 256 13 , , , A52264 256 14 the the DT A52264 256 15 sides side NNS A52264 256 16 AB AB NNP A52264 256 17 and and CC A52264 256 18 BC BC NNP A52264 256 19 are be VBP A52264 256 20 equal equal JJ A52264 256 21 in in IN A52264 256 22 power power NN A52264 256 23 to to IN A52264 256 24 the the DT A52264 256 25 third third JJ A52264 256 26 side side NN A52264 256 27 AC AC NNP A52264 256 28 ; ; : A52264 256 29 that that DT A52264 256 30 is be VBZ A52264 256 31 the the DT A52264 256 32 squares square NNS A52264 256 33 of of IN A52264 256 34 the the DT A52264 256 35 sides side NNS A52264 256 36 AB AB NNP A52264 256 37 and and CC A52264 256 38 BC BC NNP A52264 256 39 , , , A52264 256 40 to to IN A52264 256 41 wit wit NN A52264 256 42 , , , A52264 256 43 the the DT A52264 256 44 squares square NNS A52264 256 45 ALMB ALMB NNP A52264 256 46 and and CC A52264 256 47 BEDC BEDC NNP A52264 256 48 added add VBD A52264 256 49 together together RB A52264 256 50 , , , A52264 256 51 are be VBP A52264 256 52 equal equal JJ A52264 256 53 to to IN A52264 256 54 the the DT A52264 256 55 square square NN A52264 256 56 of of IN A52264 256 57 the the DT A52264 256 58 side side NN A52264 256 59 AC AC NNP A52264 256 60 , , , A52264 256 61 that that DT A52264 256 62 is be VBZ A52264 256 63 to to IN A52264 256 64 the the DT A52264 256 65 square square JJ A52264 256 66 ACKI ACKI NNP A52264 256 67 . . . A52264 257 1 Demonstration demonstration NN A52264 257 2 . . . A52264 258 1 18 18 CD A52264 258 2 . . . A52264 259 1 Theor Theor NNP A52264 259 2 . . . A52264 260 1 The the DT A52264 260 2 three three CD A52264 260 3 angles angle NNS A52264 260 4 of of IN A52264 260 5 a a DT A52264 260 6 right right NN A52264 260 7 lined line VBN A52264 260 8 Triangle Triangle NNP A52264 260 9 are be VBP A52264 260 10 equal equal JJ A52264 260 11 to to IN A52264 260 12 two two CD A52264 260 13 right right JJ A52264 260 14 angles angle NNS A52264 260 15 . . . A52264 261 1 As as IN A52264 261 2 in in IN A52264 261 3 the the DT A52264 261 4 following follow VBG A52264 261 5 plain plain JJ A52264 261 6 Triangle Triangle NNP A52264 261 7 ABC ABC NNP A52264 261 8 the the DT A52264 261 9 three three CD A52264 261 10 angles angle NNS A52264 261 11 ABC ABC NNP A52264 261 12 , , , A52264 261 13 ACB ACB NNP A52264 261 14 , , , A52264 261 15 and and CC A52264 261 16 CAB CAB NNP A52264 261 17 are be VBP A52264 261 18 equal equal JJ A52264 261 19 to to IN A52264 261 20 two two CD A52264 261 21 right right JJ A52264 261 22 angles angle NNS A52264 261 23 . . . A52264 262 1 Let let VB A52264 262 2 the the DT A52264 262 3 side side NN A52264 262 4 AB AB NNP A52264 262 5 be be VB A52264 262 6 extended extend VBN A52264 262 7 to to IN A52264 262 8 D d NN A52264 262 9 , , , A52264 262 10 and and CC A52264 262 11 let let VB A52264 262 12 there there EX A52264 262 13 be be VB A52264 262 14 a a DT A52264 262 15 semicircle semicircle NN A52264 262 16 drawn draw VBN A52264 262 17 upon upon IN A52264 262 18 the the DT A52264 262 19 point point NN A52264 262 20 B b NN A52264 262 21 , , , A52264 262 22 and and CC A52264 262 23 let let VB A52264 262 24 there there EX A52264 262 25 be be VB A52264 262 26 also also RB A52264 262 27 dawn dawn VBN A52264 262 28 a a DT A52264 262 29 line line NN A52264 262 30 parallel parallel NN A52264 262 31 unto unto IN A52264 262 32 AC AC NNP A52264 262 33 , , , A52264 262 34 from from IN A52264 262 35 B B NNP A52264 262 36 unto unto IN A52264 262 37 G. G. NNP A52264 262 38 Demonstration Demonstration NNP A52264 262 39 . . . A52264 263 1 I -PRON- PRP A52264 263 2 say say VBP A52264 263 3 that that IN A52264 263 4 the the DT A52264 263 5 angle angle NN A52264 263 6 GBD GBD NNP A52264 263 7 is be VBZ A52264 263 8 equal equal JJ A52264 263 9 to to IN A52264 263 10 the the DT A52264 263 11 angle angle NN A52264 263 12 BAC BAC NNP A52264 263 13 , , , A52264 263 14 by by IN A52264 263 15 the the DT A52264 263 16 9 9 CD A52264 263 17 th th NNP A52264 263 18 hereof hereof NNP A52264 263 19 , , , A52264 263 20 and and CC A52264 263 21 the the DT A52264 263 22 angle angle NN A52264 263 23 CBG CBG NNP A52264 263 24 is be VBZ A52264 263 25 equal equal JJ A52264 263 26 to to IN A52264 263 27 the the DT A52264 263 28 angle angle JJ A52264 263 29 ACB ACB NNP A52264 263 30 by by IN A52264 263 31 the the DT A52264 263 32 same same JJ A52264 263 33 reason reason NN A52264 263 34 , , , A52264 263 35 and and CC A52264 263 36 the the DT A52264 263 37 angles angle NNS A52264 263 38 CBG CBG NNP A52264 263 39 and and CC A52264 263 40 GBD GBD NNP A52264 263 41 , , , A52264 263 42 are be VBP A52264 263 43 together together RB A52264 263 44 equal equal JJ A52264 263 45 to to IN A52264 263 46 the the DT A52264 263 47 angle angle NN A52264 263 48 CBD CBD NNP A52264 263 49 , , , A52264 263 50 which which WDT A52264 263 51 is be VBZ A52264 263 52 also also RB A52264 263 53 equal equal JJ A52264 263 54 to to IN A52264 263 55 the the DT A52264 263 56 angle angle NN A52264 263 57 ABC ABC NNP A52264 263 58 , , , A52264 263 59 by by IN A52264 263 60 the the DT A52264 263 61 18 18 CD A52264 263 62 th th NN A52264 263 63 . . . A52264 264 1 of of IN A52264 264 2 the the DT A52264 264 3 first first JJ A52264 264 4 : : : A52264 264 5 and and CC A52264 264 6 therefore therefore RB A52264 264 7 ; ; : A52264 264 8 the the DT A52264 264 9 three three CD A52264 264 10 angles angle NNS A52264 264 11 of of IN A52264 264 12 a a DT A52264 264 13 right right NN A52264 264 14 lined line VBN A52264 264 15 Triangle Triangle NNP A52264 264 16 are be VBP A52264 264 17 equal equal JJ A52264 264 18 to to IN A52264 264 19 two two CD A52264 264 20 right right JJ A52264 264 21 angles angle NNS A52264 264 22 , , , A52264 264 23 which which WDT A52264 264 24 was be VBD A52264 264 25 to to TO A52264 264 26 be be VB A52264 264 27 proved prove VBN A52264 264 28 . . . A52264 265 1 19 19 CD A52264 265 2 . . . A52264 266 1 Theor Theor NNP A52264 266 2 . . . A52264 267 1 If if IN A52264 267 2 a a DT A52264 267 3 plain plain JJ A52264 267 4 Triangle Triangle NNP A52264 267 5 be be VB A52264 267 6 inscribed inscribe VBN A52264 267 7 in in IN A52264 267 8 a a DT A52264 267 9 Circle Circle NNP A52264 267 10 , , , A52264 267 11 the the DT A52264 267 12 angles angle NNS A52264 267 13 opposite opposite JJ A52264 267 14 to to IN A52264 267 15 the the DT A52264 267 16 circumference circumference NN A52264 267 17 are be VBP A52264 267 18 halfe halfe NN A52264 267 19 as as RB A52264 267 20 much much JJ A52264 267 21 as as IN A52264 267 22 that that DT A52264 267 23 part part NN A52264 267 24 of of IN A52264 267 25 the the DT A52264 267 26 Circumference Circumference NNP A52264 267 27 which which WDT A52264 267 28 is be VBZ A52264 267 29 opposite opposite JJ A52264 267 30 to to IN A52264 267 31 the the DT A52264 267 32 angles angle NNS A52264 267 33 . . . A52264 268 1 As as IN A52264 268 2 if if IN A52264 268 3 in in IN A52264 268 4 the the DT A52264 268 5 circle circle NN A52264 268 6 ABC ABC NNP A52264 268 7 the the DT A52264 268 8 circumference circumference NN A52264 268 9 BC BC NNP A52264 268 10 be be VB A52264 268 11 120 120 CD A52264 268 12 degrees degree NNS A52264 268 13 , , , A52264 268 14 then then RB A52264 268 15 the the DT A52264 268 16 angle angle NN A52264 268 17 BAC BAC NNP A52264 268 18 which which WDT A52264 268 19 is be VBZ A52264 268 20 opposite opposite JJ A52264 268 21 to to IN A52264 268 22 that that DT A52264 268 23 circumference circumference NN A52264 268 24 shall shall MD A52264 268 25 be be VB A52264 268 26 60 60 CD A52264 268 27 degrees degree NNS A52264 268 28 . . . A52264 269 1 The the DT A52264 269 2 reason reason NN A52264 269 3 is be VBZ A52264 269 4 , , , A52264 269 5 because because IN A52264 269 6 the the DT A52264 269 7 whole whole JJ A52264 269 8 circle circle NN A52264 269 9 ABC ABC NNP A52264 269 10 is be VBZ A52264 269 11 360 360 CD A52264 269 12 degrees degree NNS A52264 269 13 , , , A52264 269 14 and and CC A52264 269 15 the the DT A52264 269 16 three three CD A52264 269 17 angles angle NNS A52264 269 18 of of IN A52264 269 19 a a DT A52264 269 20 plain plain JJ A52264 269 21 triangle triangle NN A52264 269 22 can can MD A52264 269 23 not not RB A52264 269 24 exceed exceed VB A52264 269 25 180 180 CD A52264 269 26 degrees degree NNS A52264 269 27 , , , A52264 269 28 or or CC A52264 269 29 two two CD A52264 269 30 right right JJ A52264 269 31 angles angle NNS A52264 269 32 , , , A52264 269 33 by by IN A52264 269 34 the the DT A52264 269 35 last last JJ A52264 269 36 aforegoing aforegoing NN A52264 269 37 , , , A52264 269 38 therefore therefore RB A52264 269 39 , , , A52264 269 40 as as IN A52264 269 41 every every DT A52264 269 42 arch arch NN A52264 269 43 is be VBZ A52264 269 44 the the DT A52264 269 45 one one CD A52264 269 46 third third NN A52264 269 47 of of IN A52264 269 48 360 360 CD A52264 269 49 , , , A52264 269 50 so so CC A52264 269 51 every every DT A52264 269 52 angle angle NN A52264 269 53 opposite opposite RB A52264 269 54 to to IN A52264 269 55 that that DT A52264 269 56 arch arch NN A52264 269 57 is be VBZ A52264 269 58 the the DT A52264 269 59 one one CD A52264 269 60 third third NN A52264 269 61 of of IN A52264 269 62 180 180 CD A52264 269 63 , , , A52264 269 64 that that RB A52264 269 65 is is RB A52264 269 66 60 60 CD A52264 269 67 degrees degree NNS A52264 269 68 . . . A52264 270 1 Or or CC A52264 270 2 thus thus RB A52264 270 3 , , , A52264 270 4 From from IN A52264 270 5 the the DT A52264 270 6 angle angle NN A52264 270 7 ABC ABC NNP A52264 270 8 , , , A52264 270 9 let let VB A52264 270 10 there there EX A52264 270 11 be be VB A52264 270 12 drawn draw VBN A52264 270 13 the the DT A52264 270 14 diameter diameter NN A52264 270 15 BED bed NN A52264 270 16 , , , A52264 270 17 and and CC A52264 270 18 from from IN A52264 270 19 the the DT A52264 270 20 center center NN A52264 270 21 E e NN A52264 270 22 to to IN A52264 270 23 the the DT A52264 270 24 circumference circumference NN A52264 270 25 , , , A52264 270 26 let let VB A52264 270 27 there there EX A52264 270 28 be be VB A52264 270 29 drawn draw VBN A52264 270 30 the the DT A52264 270 31 two two CD A52264 270 32 Radii Radii NNP A52264 270 33 or or CC A52264 270 34 semidiameters semidiameter NNS A52264 270 35 AE AE NNP A52264 270 36 and and CC A52264 270 37 AC AC NNP A52264 270 38 , , , A52264 270 39 I -PRON- PRP A52264 270 40 say say VBP A52264 270 41 then then RB A52264 270 42 that that IN A52264 270 43 the the DT A52264 270 44 divided divide VBN A52264 270 45 angles angle NNS A52264 270 46 ABD ABD NNP A52264 270 47 and and CC A52264 270 48 DBC DBC NNP A52264 270 49 are be VBP A52264 270 50 the the DT A52264 270 51 one one CD A52264 270 52 halfe halfe NN A52264 270 53 of of IN A52264 270 54 the the DT A52264 270 55 angles angle NNS A52264 270 56 AED AED NNP A52264 270 57 and and CC A52264 270 58 DEC DEC NNP A52264 270 59 : : : A52264 270 60 for for IN A52264 270 61 the the DT A52264 270 62 angles angle NNS A52264 270 63 ABE ABE NNP A52264 270 64 and and CC A52264 270 65 BAE BAE NNP A52264 270 66 are be VBP A52264 270 67 equall equall JJ A52264 270 68 , , , A52264 270 69 because because IN A52264 270 70 their -PRON- PRP$ A52264 270 71 Radii Radii NNP A52264 270 72 AE AE NNP A52264 270 73 and and CC A52264 270 74 EB EB NNP A52264 270 75 are be VBP A52264 270 76 equall equall JJ A52264 270 77 , , , A52264 270 78 and and CC A52264 270 79 also also RB A52264 270 80 the the DT A52264 270 81 angle angle NN A52264 270 82 AED AED NNP A52264 270 83 is be VBZ A52264 270 84 equal equal JJ A52264 270 85 to to IN A52264 270 86 the the DT A52264 270 87 angles angle NNS A52264 270 88 ABE ABE NNP A52264 270 89 and and CC A52264 270 90 BAE BAE NNP A52264 270 91 added add VBD A52264 270 92 together together RB A52264 270 93 , , , A52264 270 94 for for IN A52264 270 95 if if IN A52264 270 96 you -PRON- PRP A52264 270 97 draw draw VBP A52264 270 98 the the DT A52264 270 99 line line NN A52264 270 100 EF EF NNP A52264 270 101 parallel parallel NN A52264 270 102 to to IN A52264 270 103 AB AB NNP A52264 270 104 , , , A52264 270 105 the the DT A52264 270 106 angle angle NN A52264 270 107 FED FED NNP A52264 270 108 shall shall MD A52264 270 109 be be VB A52264 270 110 equal equal JJ A52264 270 111 to to IN A52264 270 112 the the DT A52264 270 113 angle angle JJ A52264 270 114 ABE ABE NNP A52264 270 115 by by IN A52264 270 116 the the DT A52264 270 117 9 9 CD A52264 270 118 th th NN A52264 270 119 . . . A52264 271 1 hereof hereof NNP A52264 271 2 ; ; : A52264 271 3 and and CC A52264 271 4 by by IN A52264 271 5 the the DT A52264 271 6 like like JJ A52264 271 7 reason reason NN A52264 271 8 the the DT A52264 271 9 angle angle NN A52264 271 10 AEF AEF NNP A52264 271 11 is be VBZ A52264 271 12 also also RB A52264 271 13 equal equal JJ A52264 271 14 to to IN A52264 271 15 the the DT A52264 271 16 angle angle NN A52264 271 17 BAE BAE NNP A52264 271 18 . . . A52264 272 1 and and CC A52264 272 2 therefore therefore RB A52264 272 3 the the DT A52264 272 4 angle angle NN A52264 272 5 AED AED NNP A52264 272 6 is be VBZ A52264 272 7 equal equal JJ A52264 272 8 to to IN A52264 272 9 the the DT A52264 272 10 angles angle NNS A52264 272 11 ABE ABE NNP A52264 272 12 , , , A52264 272 13 and and CC A52264 272 14 BAE bae NN A52264 272 15 : : : A52264 272 16 or or CC A52264 272 17 , , , A52264 272 18 which which WDT A52264 272 19 is be VBZ A52264 272 20 all all DT A52264 272 21 one one CD A52264 272 22 , , , A52264 272 23 the the DT A52264 272 24 angle angle NN A52264 272 25 AED AED NNP A52264 272 26 is be VBZ A52264 272 27 double double JJ A52264 272 28 to to IN A52264 272 29 the the DT A52264 272 30 angle angle NN A52264 272 31 ABD ABD NNP A52264 272 32 . . . A52264 273 1 In in IN A52264 273 2 like like JJ A52264 273 3 manner manner NN A52264 273 4 , , , A52264 273 5 the the DT A52264 273 6 angles angle NNS A52264 273 7 EBC EBC NNP A52264 273 8 and and CC A52264 273 9 ECB ECB NNP A52264 273 10 are be VBP A52264 273 11 equal equal JJ A52264 273 12 , , , A52264 273 13 and and CC A52264 273 14 the the DT A52264 273 15 angle angle NN A52264 273 16 DEC DEC NNP A52264 273 17 is be VBZ A52264 273 18 equal equal JJ A52264 273 19 to to IN A52264 273 20 them -PRON- PRP A52264 273 21 both both DT A52264 273 22 : : : A52264 273 23 therefore therefore RB A52264 273 24 the the DT A52264 273 25 angle angle JJ A52264 273 26 DEC DEC NNP A52264 273 27 is be VBZ A52264 273 28 double double JJ A52264 273 29 to to IN A52264 273 30 the the DT A52264 273 31 angle angle NN A52264 273 32 DBC DBC NNP A52264 273 33 . . . A52264 274 1 Then then RB A52264 274 2 because because IN A52264 274 3 the the DT A52264 274 4 parts part NNS A52264 274 5 of of IN A52264 274 6 the the DT A52264 274 7 angle angle NN A52264 274 8 AEC AEC NNP A52264 274 9 are be VBP A52264 274 10 double double JJ A52264 274 11 to to IN A52264 274 12 the the DT A52264 274 13 parts part NNS A52264 274 14 of of IN A52264 274 15 the the DT A52264 274 16 angle angle NN A52264 274 17 ABC ABC NNP A52264 274 18 ; ; : A52264 274 19 therefore therefore RB A52264 274 20 also also RB A52264 274 21 the the DT A52264 274 22 whole whole JJ A52264 274 23 angle angle NN A52264 274 24 AEC AEC NNP A52264 274 25 is be VBZ A52264 274 26 double double JJ A52264 274 27 to to IN A52264 274 28 the the DT A52264 274 29 whose whose WP$ A52264 274 30 angle angle NN A52264 274 31 ABC ABC NNP A52264 274 32 ; ; : A52264 274 33 and and CC A52264 274 34 thereupon thereupon IN A52264 274 35 the the DT A52264 274 36 angle angle NN A52264 274 37 ABC ABC NNP A52264 274 38 is be VBZ A52264 274 39 half half PDT A52264 274 40 the the DT A52264 274 41 angle angle NN A52264 274 42 AEC AEC NNP A52264 274 43 ; ; : A52264 274 44 and and CC A52264 274 45 consequently consequently RB A52264 274 46 , , , A52264 274 47 half half PDT A52264 274 48 the the DT A52264 274 49 arch arch JJ A52264 274 50 ADC adc NN A52264 274 51 ; ; : A52264 274 52 is be VBZ A52264 274 53 the the DT A52264 274 54 measure measure NN A52264 274 55 of of IN A52264 274 56 the the DT A52264 274 57 angle angle NN A52264 274 58 ABC ABC NNP A52264 274 59 , , , A52264 274 60 as as IN A52264 274 61 was be VBD A52264 274 62 to to TO A52264 274 63 be be VB A52264 274 64 proved prove VBN A52264 274 65 . . . A52264 275 1 Hence hence RB A52264 275 2 it -PRON- PRP A52264 275 3 followeth followeth VBD A52264 275 4 , , , A52264 275 5 1 1 CD A52264 275 6 . . . A52264 276 1 If if IN A52264 276 2 the the DT A52264 276 3 side side NN A52264 276 4 of of IN A52264 276 5 a a DT A52264 276 6 plain plain JJ A52264 276 7 Triangele Triangele NNP A52264 276 8 inscribed inscribe VBN A52264 276 9 in in IN A52264 276 10 a a DT A52264 276 11 circle circle NN A52264 276 12 be be VB A52264 276 13 the the DT A52264 276 14 diameter diameter NN A52264 276 15 , , , A52264 276 16 the the DT A52264 276 17 angle angle NN A52264 276 18 opposite opposite RB A52264 276 19 to to IN A52264 276 20 that that DT A52264 276 21 side side NN A52264 276 22 is be VBZ A52264 276 23 a a DT A52264 276 24 right right JJ A52264 276 25 angle angle NN A52264 276 26 , , , A52264 276 27 that that RB A52264 276 28 is is RB A52264 276 29 , , , A52264 276 30 90 90 CD A52264 276 31 degrees degree NNS A52264 276 32 ; ; : A52264 276 33 for for IN A52264 276 34 that that DT A52264 276 35 it -PRON- PRP A52264 276 36 is be VBZ A52264 276 37 opposite opposite JJ A52264 276 38 to to IN A52264 276 39 a a DT A52264 276 40 semicircle semicircle NN A52264 276 41 , , , A52264 276 42 which which WDT A52264 276 43 is be VBZ A52264 276 44 180 180 CD A52264 276 45 degrees degree NNS A52264 276 46 . . . A52264 277 1 2 2 LS A52264 277 2 . . . A52264 278 1 If if IN A52264 278 2 divers diver NNS A52264 278 3 right right RB A52264 278 4 lined line VBD A52264 278 5 triangles triangle NNS A52264 278 6 be be VB A52264 278 7 inscribed inscribe VBN A52264 278 8 in in IN A52264 278 9 the the DT A52264 278 10 same same JJ A52264 278 11 segment segment NN A52264 278 12 of of IN A52264 278 13 a a DT A52264 278 14 circle circle NN A52264 278 15 upon upon IN A52264 278 16 one one CD A52264 278 17 base base NN A52264 278 18 ; ; : A52264 278 19 the the DT A52264 278 20 angles angle NNS A52264 278 21 , , , A52264 278 22 in in IN A52264 278 23 the the DT A52264 278 24 circumference circumference NN A52264 278 25 are be VBP A52264 278 26 equal equal JJ A52264 278 27 . . . A52264 279 1 As as IN A52264 279 2 the the DT A52264 279 3 two two CD A52264 279 4 triangles triangle NNS A52264 279 5 ABD ABD NNP A52264 279 6 and and CC A52264 279 7 ACD ACD NNP A52264 279 8 being be VBG A52264 279 9 inscribed inscribe VBN A52264 279 10 in in IN A52264 279 11 the the DT A52264 279 12 same same JJ A52264 279 13 segmeut segmeut NN A52264 279 14 of of IN A52264 279 15 the the DT A52264 279 16 circle circle NN A52264 279 17 ABCD ABCD NNP A52264 279 18 , , , A52264 279 19 upon upon IN A52264 279 20 the the DT A52264 279 21 same same JJ A52264 279 22 base base NN A52264 279 23 AD ad NN A52264 279 24 are be VBP A52264 279 25 equiangled equiangle VBN A52264 279 26 in in IN A52264 279 27 the the DT A52264 279 28 points point NNS A52264 279 29 B B NNP A52264 279 30 and and CC A52264 279 31 C C NNP A52264 279 32 , , , A52264 279 33 falling fall VBG A52264 279 34 in in IN A52264 279 35 the the DT A52264 279 36 circumference circumference NN A52264 279 37 . . . A52264 280 1 For for IN A52264 280 2 the the DT A52264 280 3 same same JJ A52264 280 4 arch arch JJ A52264 280 5 AD ad NN A52264 280 6 is be VBZ A52264 280 7 opposite opposite JJ A52264 280 8 to to IN A52264 280 9 both both PDT A52264 280 10 those those DT A52264 280 11 angles angle NNS A52264 280 12 ; ; : A52264 280 13 that that RB A52264 280 14 is is RB A52264 280 15 , , , A52264 280 16 to to IN A52264 280 17 the the DT A52264 280 18 angle angle NN A52264 280 19 ACD ACD NNP A52264 280 20 , , , A52264 280 21 and and CC A52264 280 22 also also RB A52264 280 23 to to IN A52264 280 24 the the DT A52264 280 25 angle angle NN A52264 280 26 ABD ABD NNP A52264 280 27 . . . A52264 281 1 20 20 CD A52264 281 2 Theor Theor NNP A52264 281 3 . . . A52264 282 1 If if IN A52264 282 2 two two CD A52264 282 3 plaine plaine JJ A52264 282 4 Triangles Triangles NNPS A52264 282 5 inscribed inscribe VBN A52264 282 6 in in IN A52264 282 7 the the DT A52264 282 8 same same JJ A52264 282 9 segment segment NN A52264 282 10 of of IN A52264 282 11 a a DT A52264 282 12 circle circle NN A52264 282 13 , , , A52264 282 14 upon upon IN A52264 282 15 the the DT A52264 282 16 same same JJ A52264 282 17 base base NN A52264 282 18 , , , A52264 282 19 be be VB A52264 282 20 so so RB A52264 282 21 joyned joyned JJ A52264 282 22 together together RB A52264 282 23 in in IN A52264 282 24 the the DT A52264 282 25 top top NN A52264 282 26 , , , A52264 282 27 ( ( -LRB- A52264 282 28 or or CC A52264 282 29 in in IN A52264 282 30 the the DT A52264 282 31 angles angle NNS A52264 282 32 falling fall VBG A52264 282 33 in in IN A52264 282 34 the the DT A52264 282 35 circumference circumference NN A52264 282 36 ) ) -RRB- A52264 282 37 that that IN A52264 282 38 thereof thereof RB A52264 282 39 is be VBZ A52264 282 40 made make VBN A52264 282 41 a a DT A52264 282 42 four four CD A52264 282 43 - - HYPH A52264 282 44 sided sided JJ A52264 282 45 figure figure NN A52264 282 46 , , , A52264 282 47 intersected intersect VBD A52264 282 48 with with IN A52264 282 49 Diagonals Diagonals NNPS A52264 282 50 , , , A52264 282 51 the the DT A52264 282 52 right right RB A52264 282 53 angled angle VBN A52264 282 54 figure figure NN A52264 282 55 made make VBN A52264 282 56 of of IN A52264 282 57 the the DT A52264 282 58 Diagonals Diagonals NNPS A52264 282 59 , , , A52264 282 60 is be VBZ A52264 282 61 equall equall JJ A52264 282 62 to to IN A52264 282 63 the the DT A52264 282 64 right right NN A52264 282 65 angled angle VBN A52264 282 66 figures figure NNS A52264 282 67 made make VBN A52264 282 68 of of IN A52264 282 69 the the DT A52264 282 70 opposite opposite JJ A52264 282 71 sides side NNS A52264 282 72 added add VBN A52264 282 73 together together RB A52264 282 74 . . . A52264 283 1 Let let VB A52264 283 2 ABD ABD NNP A52264 283 3 and and CC A52264 283 4 ACD ACD NNP A52264 283 5 be be VB A52264 283 6 two two CD A52264 283 7 triangles triangle NNS A52264 283 8 , , , A52264 283 9 inscribed inscribe VBN A52264 283 10 in in IN A52264 283 11 the the DT A52264 283 12 same same JJ A52264 283 13 segment segment NN A52264 283 14 of of IN A52264 283 15 the the DT A52264 283 16 circle circle NN A52264 283 17 ABCD ABCD NNP A52264 283 18 upon upon IN A52264 283 19 the the DT A52264 283 20 same same JJ A52264 283 21 base base NN A52264 283 22 AD AD NNP A52264 283 23 so so RB A52264 283 24 joyned joyned JJ A52264 283 25 in in IN A52264 283 26 the the DT A52264 283 27 top top NN A52264 283 28 by by IN A52264 283 29 the the DT A52264 283 30 right right JJ A52264 283 31 line line NN A52264 283 32 BC BC NNP A52264 283 33 , , , A52264 283 34 that that IN A52264 283 35 thereupon thereupon RB A52264 283 36 is be VBZ A52264 283 37 made make VBN A52264 283 38 the the DT A52264 283 39 four four CD A52264 283 40 sided side VBN A52264 283 41 figure figure NN A52264 283 42 ABCD ABCD NNP A52264 283 43 . . . A52264 284 1 I -PRON- PRP A52264 284 2 say say VBP A52264 284 3 , , , A52264 284 4 that that IN A52264 284 5 the the DT A52264 284 6 right right NN A52264 284 7 angled angle VBN A52264 284 8 figures figure NNS A52264 284 9 made make VBN A52264 284 10 of of IN A52264 284 11 the the DT A52264 284 12 opposit opposit JJ A52264 284 13 sides side NNS A52264 284 14 AB AB NNP A52264 284 15 and and CC A52264 284 16 DC DC NNP A52264 284 17 , , , A52264 284 18 and and CC A52264 284 19 also also RB A52264 284 20 of of IN A52264 284 21 the the DT A52264 284 22 sides side NNS A52264 284 23 BC BC NNP A52264 284 24 and and CC A52264 284 25 AD AD NNP A52264 284 26 added add VBN A52264 284 27 together together RB A52264 284 28 are be VBP A52264 284 29 equall equall JJ A52264 284 30 to to IN A52264 284 31 the the DT A52264 284 32 right right JJ A52264 284 33 angled angle VBN A52264 284 34 figure figure NN A52264 284 35 made make VBN A52264 284 36 of of IN A52264 284 37 the the DT A52264 284 38 Diagonals Diagonals NNPS A52264 284 39 AC AC NNP A52264 284 40 and and CC A52264 284 41 BD BD NNP A52264 284 42 . . . A52264 285 1 Demonstration demonstration NN A52264 285 2 . . . A52264 286 1 If if IN A52264 286 2 at at IN A52264 286 3 the the DT A52264 286 4 point point NN A52264 286 5 B b NN A52264 286 6 you -PRON- PRP A52264 286 7 make make VBP A52264 286 8 the the DT A52264 286 9 angle angle NN A52264 286 10 ABE ABE NNP A52264 286 11 equall equall NN A52264 286 12 to to IN A52264 286 13 the the DT A52264 286 14 angle angle NN A52264 286 15 DBC DBC NNP A52264 286 16 , , , A52264 286 17 and and CC A52264 286 18 so so RB A52264 286 19 cut cut VB A52264 286 20 the the DT A52264 286 21 Diagonall Diagonall NNP A52264 286 22 AC AC NNP A52264 286 23 into into IN A52264 286 24 two two CD A52264 286 25 parts part NNS A52264 286 26 by by IN A52264 286 27 the the DT A52264 286 28 right right JJ A52264 286 29 line line NN A52264 286 30 EB eb NN A52264 286 31 at at IN A52264 286 32 the the DT A52264 286 33 point point NN A52264 286 34 E e NN A52264 286 35 , , , A52264 286 36 then then RB A52264 286 37 shall shall MD A52264 286 38 the the DT A52264 286 39 angles angle NNS A52264 286 40 ABD ABD NNP A52264 286 41 and and CC A52264 286 42 EBC EBC NNP A52264 286 43 be be VBP A52264 286 44 equall equall JJ A52264 286 45 , , , A52264 286 46 because because IN A52264 286 47 the the DT A52264 286 48 angles angle NNS A52264 286 49 ABE ABE NNP A52264 286 50 and and CC A52264 286 51 DBC DBC NNP A52264 286 52 are be VBP A52264 286 53 equal equal JJ A52264 286 54 by by IN A52264 286 55 the the DT A52264 286 56 proposition proposition NN A52264 286 57 , , , A52264 286 58 and and CC A52264 286 59 the the DT A52264 286 60 angle angle NN A52264 286 61 EBD EBD NNP A52264 286 62 common common JJ A52264 286 63 to to IN A52264 286 64 both both DT A52264 286 65 , , , A52264 286 66 and and CC A52264 286 67 the the DT A52264 286 68 angles angle NNS A52264 286 69 ADB ADB NNP A52264 286 70 & & CC A52264 286 71 ECB ECB NNP A52264 286 72 are be VBP A52264 286 73 equal equal JJ A52264 286 74 , , , A52264 286 75 because because IN A52264 286 76 the the DT A52264 286 77 arch arch JJ A52264 286 78 AB AB NNP A52264 286 79 is be VBZ A52264 286 80 the the DT A52264 286 81 double double JJ A52264 286 82 measure measure NN A52264 286 83 of of IN A52264 286 84 them -PRON- PRP A52264 286 85 both both DT A52264 286 86 by by IN A52264 286 87 the the DT A52264 286 88 last last JJ A52264 286 89 aforegoing aforegoing NN A52264 286 90 , , , A52264 286 91 and and CC A52264 286 92 therefore therefore RB A52264 286 93 the the DT A52264 286 94 triangles triangle NNS A52264 286 95 ABD ABD NNP A52264 286 96 & & CC A52264 286 97 EBC EBC NNP A52264 286 98 are be VBP A52264 286 99 equiangled equiangle VBN A52264 286 100 and and CC A52264 286 101 there there EX A52264 286 102 sides side NNS A52264 286 103 proportional proportional JJ A52264 286 104 by by IN A52264 286 105 the the DT A52264 286 106 18 18 CD A52264 286 107 th th NN A52264 286 108 and and CC A52264 286 109 16 16 CD A52264 286 110 th th NNP A52264 286 111 Theoremes theoreme NNS A52264 286 112 of of IN A52264 286 113 this this DT A52264 286 114 chapter chapter NN A52264 286 115 , , , A52264 286 116 that that RB A52264 286 117 is is RB A52264 286 118 , , , A52264 286 119 as as IN A52264 286 120 BD BD NNP A52264 286 121 to to IN A52264 286 122 DA DA NNP A52264 286 123 , , , A52264 286 124 so so RB A52264 286 125 is be VBZ A52264 286 126 BC BC NNP A52264 286 127 to to IN A52264 286 128 CE CE NNP A52264 286 129 , , , A52264 286 130 and and CC A52264 286 131 therefore therefore RB A52264 286 132 also also RB A52264 286 133 the the DT A52264 286 134 rectangles rectangle NNS A52264 286 135 of of IN A52264 286 136 BD BD NNP A52264 286 137 in in IN A52264 286 138 CE CE NNP A52264 286 139 is be VBZ A52264 286 140 equal equal JJ A52264 286 141 to to IN A52264 286 142 the the DT A52264 286 143 rectangle rectangle NN A52264 286 144 of of IN A52264 286 145 DA DA NNP A52264 286 146 in in IN A52264 286 147 BC BC NNP A52264 286 148 by by IN A52264 286 149 the the DT A52264 286 150 10 10 CD A52264 286 151 th th NNP A52264 286 152 hereof hereof NNP A52264 286 153 . . . A52264 287 1 And and CC A52264 287 2 because because IN A52264 287 3 the the DT A52264 287 4 angles angle NNS A52264 287 5 DBC DBC NNP A52264 287 6 and and CC A52264 287 7 ABE ABE NNP A52264 287 8 are be VBP A52264 287 9 equal equal JJ A52264 287 10 by by IN A52264 287 11 the the DT A52264 287 12 proposition proposition NN A52264 287 13 , , , A52264 287 14 and and CC A52264 287 15 the the DT A52264 287 16 angles angle NNS A52264 287 17 BDC BDC NNP A52264 287 18 and and CC A52264 287 19 EAB EAB NNP A52264 287 20 equall equall NN A52264 287 21 because because IN A52264 287 22 the the DT A52264 287 23 arch arch JJ A52264 287 24 BC BC NNP A52264 287 25 is be VBZ A52264 287 26 the the DT A52264 287 27 double double JJ A52264 287 28 measure measure NN A52264 287 29 of of IN A52264 287 30 them -PRON- PRP A52264 287 31 both both DT A52264 287 32 by by IN A52264 287 33 the the DT A52264 287 34 last last JJ A52264 287 35 aforegoing aforegoing NN A52264 287 36 , , , A52264 287 37 the the DT A52264 287 38 triangles triangle NNS A52264 287 39 BDC BDC NNP A52264 287 40 , , , A52264 287 41 & & CC A52264 287 42 EAB EAB NNP A52264 287 43 are be VBP A52264 287 44 equiangled equiangle VBN A52264 287 45 and and CC A52264 287 46 there there EX A52264 287 47 sides side NNS A52264 287 48 proportional proportional JJ A52264 287 49 by by IN A52264 287 50 the the DT A52264 287 51 18 18 CD A52264 287 52 th th NNS A52264 287 53 and and CC A52264 287 54 16 16 CD A52264 287 55 Theoremes theoreme NNS A52264 287 56 of of IN A52264 287 57 this this DT A52264 287 58 chapter chapter NN A52264 287 59 , , , A52264 287 60 that that RB A52264 287 61 is is RB A52264 287 62 as as IN A52264 287 63 BD BD NNP A52264 287 64 to to IN A52264 287 65 DC DC NNP A52264 287 66 so so RB A52264 287 67 is be VBZ A52264 287 68 AB AB NNP A52264 287 69 to to IN A52264 287 70 AE AE NNP A52264 287 71 ; ; : A52264 287 72 and and CC A52264 287 73 therefore therefore RB A52264 287 74 also also RB A52264 287 75 the the DT A52264 287 76 rectangle rectangle NN A52264 287 77 of of IN A52264 287 78 BD BD NNP A52264 287 79 in in IN A52264 287 80 AE AE NNP A52264 287 81 is be VBZ A52264 287 82 equal equal JJ A52264 287 83 to to IN A52264 287 84 the the DT A52264 287 85 rectangle rectangle NN A52264 287 86 of of IN A52264 287 87 DC DC NNP A52264 287 88 in in IN A52264 287 89 AB AB NNP A52264 287 90 . . . A52264 288 1 And and CC A52264 288 2 because because IN A52264 288 3 the the DT A52264 288 4 rectangled rectangled JJ A52264 288 5 figure figure NN A52264 288 6 〈 〈 VBZ A52264 288 7 … … NFP A52264 288 8 〉 〉 XX A52264 288 9 of of IN A52264 288 10 AD AD NNP A52264 288 11 and and CC A52264 288 12 DF DF NNP A52264 288 13 is be VBZ A52264 288 14 equall equall JJ A52264 288 15 to to IN A52264 288 16 the the DT A52264 288 17 two two CD A52264 288 18 rectangled rectangled JJ A52264 288 19 figures figure NNS A52264 288 20 of of IN A52264 288 21 AD ad NN A52264 288 22 in in IN A52264 288 23 DC DC NNP A52264 288 24 and and CC A52264 288 25 BC BC NNP A52264 288 26 in in IN A52264 288 27 CF CF NNP A52264 288 28 , , , A52264 288 29 therefore therefore RB A52264 288 30 also also RB A52264 288 31 the the DT A52264 288 32 rectangled rectangle VBN A52264 288 33 figure figure NN A52264 288 34 of of IN A52264 288 35 BD BD NNP A52264 288 36 in in IN A52264 288 37 AC AC NNP A52264 288 38 is be VBZ A52264 288 39 equal equal JJ A52264 288 40 to to IN A52264 288 41 the the DT A52264 288 42 rectangled rectangle VBN A52264 288 43 figures figure NNS A52264 288 44 of of IN A52264 288 45 BD BD NNP A52264 288 46 in in IN A52264 288 47 AE AE NNP A52264 288 48 and and CC A52264 288 49 BD BD NNP A52264 288 50 in in IN A52264 288 51 EC EC NNP A52264 288 52 . . . A52264 289 1 From from IN A52264 289 2 hen hen NN A52264 289 3 ● ● NFP A52264 289 4 ● ● NFP A52264 289 5 and and CC A52264 289 6 the the DT A52264 289 7 two two CD A52264 289 8 former former JJ A52264 289 9 proportions proportion NNS A52264 289 10 the the DT A52264 289 11 proposition proposition NN A52264 289 12 is be VBZ A52264 289 13 thus thus RB A52264 289 14 Demonstrated demonstrate VBN A52264 289 15 . . . A52264 290 1 1 1 LS A52264 290 2 . . . A52264 291 1 BD BD NNP A52264 291 2 in in IN A52264 291 3 CE CE NNP A52264 291 4 is be VBZ A52264 291 5 equal equal JJ A52264 291 6 to to IN A52264 291 7 DA DA NNP A52264 291 8 in in IN A52264 291 9 BC BC NNP A52264 291 10 2 2 CD A52264 291 11 . . . A52264 292 1 BD BD NNP A52264 292 2 in in IN A52264 292 3 AE AE NNP A52264 292 4 DC DC NNP A52264 292 5 in in IN A52264 292 6 AB AB NNP A52264 292 7 And and CC A52264 292 8 by by IN A52264 292 9 Composition composition NN A52264 292 10 . . . A52264 293 1 BD BD NNP A52264 293 2 in in IN A52264 293 3 CE CE NNP A52264 293 4 more more JJR A52264 293 5 by by IN A52264 293 6 BD BD NNP A52264 293 7 in in IN A52264 293 8 AE AE NNP A52264 293 9 is be VBZ A52264 293 10 equal equal JJ A52264 293 11 to to IN A52264 293 12 DA DA NNP A52264 293 13 in in IN A52264 293 14 BC BC NNP A52264 293 15 more more RBR A52264 293 16 by by IN A52264 293 17 DC DC NNP A52264 293 18 in in IN A52264 293 19 AB AB NNP A52264 293 20 , , , A52264 293 21 now now RB A52264 293 22 then then RB A52264 293 23 because because IN A52264 293 24 BD BD NNP A52264 293 25 in in IN A52264 293 26 AC AC NNP A52264 293 27 is be VBZ A52264 293 28 equal equal JJ A52264 293 29 to to IN A52264 293 30 BD BD NNP A52264 293 31 in in IN A52264 293 32 〈 〈 NNP A52264 293 33 ◊ ◊ NNP A52264 293 34 〉 〉 NNP A52264 293 35 EC EC NNP A52264 293 36 more more RBR A52264 293 37 by by IN A52264 293 38 BD BD NNP A52264 293 39 in in IN A52264 293 40 EA EA NNP A52264 293 41 , , , A52264 293 42 therefore therefore RB A52264 293 43 also also RB A52264 293 44 BD BD NNP A52264 293 45 in in IN A52264 293 46 AC AC NNP A52264 293 47 is be VBZ A52264 293 48 equall equall JJ A52264 293 49 to to IN A52264 293 50 DA DA NNP A52264 293 51 in in IN A52264 293 52 BC BC NNP A52264 293 53 more more RBR A52264 293 54 by by IN A52264 293 55 DC DC NNP A52264 293 56 in in IN A52264 293 57 AB AB NNP A52264 293 58 which which WDT A52264 293 59 was be VBD A52264 293 60 to to TO A52264 293 61 be be VB A52264 293 62 demonstrated demonstrate VBN A52264 293 63 . . . A52264 294 1 21 21 CD A52264 294 2 . . . A52264 295 1 Theor Theor NNP A52264 295 2 . . . A52264 296 1 If if IN A52264 296 2 two two CD A52264 296 3 right right JJ A52264 296 4 lines line NNS A52264 296 5 inscribed inscribe VBN A52264 296 6 in in IN A52264 296 7 a a DT A52264 296 8 circle circle NN A52264 296 9 cut cut VBN A52264 296 10 each each DT A52264 296 11 other other JJ A52264 296 12 within within IN A52264 296 13 the the DT A52264 296 14 circle circle NN A52264 296 15 , , , A52264 296 16 the the DT A52264 296 17 rectangle rectangle NN A52264 296 18 under under IN A52264 296 19 the the DT A52264 296 20 segments segment NNS A52264 296 21 of of IN A52264 296 22 the the DT A52264 296 23 one one NN A52264 296 24 , , , A52264 296 25 is be VBZ A52264 296 26 equall equall JJ A52264 296 27 to to IN A52264 296 28 the the DT A52264 296 29 rectangle rectangle NN A52264 296 30 under under IN A52264 296 31 the the DT A52264 296 32 segment segment NN A52264 296 33 of of IN A52264 296 34 the the DT A52264 296 35 other other JJ A52264 296 36 . . . A52264 297 1 Let let VB A52264 297 2 the the DT A52264 297 3 two two CD A52264 297 4 lines line NNS A52264 297 5 be be VB A52264 297 6 FD FD NNP A52264 297 7 and and CC A52264 297 8 BC BC NNP A52264 297 9 , , , A52264 297 10 intersecting intersect VBG A52264 297 11 each each DT A52264 297 12 other other JJ A52264 297 13 in in IN A52264 297 14 the the DT A52264 297 15 point point NN A52264 297 16 A a NN A52264 297 17 ; ; : A52264 297 18 I -PRON- PRP A52264 297 19 say say VBP A52264 297 20 , , , A52264 297 21 the the DT A52264 297 22 triangles triangle NNS A52264 297 23 ABF ABF NNP A52264 297 24 and and CC A52264 297 25 ADC ADC NNP A52264 297 26 are be VBP A52264 297 27 like like IN A52264 297 28 , , , A52264 297 29 because because IN A52264 297 30 of of IN A52264 297 31 their -PRON- PRP$ A52264 297 32 equal equal JJ A52264 297 33 angles angle NNS A52264 297 34 AFB AFB NNP A52264 297 35 and and CC A52264 297 36 ACD ACD NNP A52264 297 37 , , , A52264 297 38 which which WDT A52264 297 39 are be VBP A52264 297 40 equal equal JJ A52264 297 41 , , , A52264 297 42 because because IN A52264 297 43 the the DT A52264 297 44 arch arch JJ A52264 297 45 BD BD NNP A52264 297 46 is be VBZ A52264 297 47 the the DT A52264 297 48 double double JJ A52264 297 49 measure measure NN A52264 297 50 of of IN A52264 297 51 them -PRON- PRP A52264 297 52 both both DT A52264 297 53 , , , A52264 297 54 and and CC A52264 297 55 because because IN A52264 297 56 of of IN A52264 297 57 their -PRON- PRP$ A52264 297 58 equal equal JJ A52264 297 59 angles angle NNS A52264 297 60 BAF BAF NNP A52264 297 61 and and CC A52264 297 62 DAC DAC NNP A52264 297 63 , , , A52264 297 64 which which WDT A52264 297 65 are be VBP A52264 297 66 equal equal JJ A52264 297 67 by by IN A52264 297 68 the the DT A52264 297 69 ninth ninth JJ A52264 297 70 hereof hereof NNP A52264 297 71 , , , A52264 297 72 and and CC A52264 297 73 where where WRB A52264 297 74 two two CD A52264 297 75 are be VBP A52264 297 76 equal equal JJ A52264 297 77 , , , A52264 297 78 the the DT A52264 297 79 third third JJ A52264 297 80 is be VBZ A52264 297 81 eqaul eqaul NNP A52264 297 82 by by IN A52264 297 83 the the DT A52264 297 84 18 18 CD A52264 297 85 aforegoing aforegoing NN A52264 297 86 ; ; : A52264 297 87 therefore therefore RB A52264 297 88 AD ad NN A52264 297 89 in in IN A52264 297 90 AF AF NNP A52264 297 91 is be VBZ A52264 297 92 equal equal JJ A52264 297 93 to to IN A52264 297 94 AC AC NNP A52264 297 95 in in IN A52264 297 96 AB AB NNP A52264 297 97 , , , A52264 297 98 which which WDT A52264 297 99 was be VBD A52264 297 100 to to TO A52264 297 101 be be VB A52264 297 102 proved prove VBN A52264 297 103 . . . A52264 298 1 Theor Theor NNP A52264 298 2 . . . A52264 299 1 22 22 CD A52264 299 2 . . . A52264 300 1 In in IN A52264 300 2 a a DT A52264 300 3 plain plain JJ A52264 300 4 right right NN A52264 300 5 angled angle VBN A52264 300 6 Triangle Triangle NNP A52264 300 7 , , , A52264 300 8 a a DT A52264 300 9 perpendicular perpendicular NN A52264 300 10 let let NN A52264 300 11 fall fall VB A52264 300 12 from from IN A52264 300 13 the the DT A52264 300 14 right right JJ A52264 300 15 angle angle NN A52264 300 16 upon upon IN A52264 300 17 the the DT A52264 300 18 Hypothenuse Hypothenuse NNP A52264 300 19 , , , A52264 300 20 divides divide VBZ A52264 300 21 the the DT A52264 300 22 triangle triangle NN A52264 300 23 into into IN A52264 300 24 two two CD A52264 300 25 triangles triangle NNS A52264 300 26 , , , A52264 300 27 both both DT A52264 300 28 like like UH A52264 300 29 to to IN A52264 300 30 the the DT A52264 300 31 whole whole NN A52264 300 32 , , , A52264 300 33 and and CC A52264 300 34 to to IN A52264 300 35 one one CD A52264 300 36 another another DT A52264 300 37 . . . A52264 301 1 The the DT A52264 301 2 triangle triangle NN A52264 301 3 ABC ABC NNP A52264 301 4 is be VBZ A52264 301 5 right right RB A52264 301 6 angled angle VBN A52264 301 7 at at IN A52264 301 8 B b NN A52264 301 9 , , , A52264 301 10 the the DT A52264 301 11 hypotenuse hypotenuse NN A52264 301 12 or or CC A52264 301 13 side side NN A52264 301 14 subtending subtend VBG A52264 301 15 the the DT A52264 301 16 right right JJ A52264 301 17 angle angle NN A52264 301 18 is be VBZ A52264 301 19 AC AC NNP A52264 301 20 , , , A52264 301 21 upon upon IN A52264 301 22 which which WDT A52264 301 23 from from IN A52264 301 24 the the DT A52264 301 25 point point NN A52264 301 26 B b NN A52264 301 27 is be VBZ A52264 301 28 drawn draw VBN A52264 301 29 the the DT A52264 301 30 perpendicular perpendicular JJ A52264 301 31 BD BD NNP A52264 301 32 which which WDT A52264 301 33 divideth divideth VBP A52264 301 34 the the DT A52264 301 35 triangle triangle NN A52264 301 36 ABC ABC NNP A52264 301 37 into into IN A52264 301 38 two two CD A52264 301 39 triangles triangle NNS A52264 301 40 , , , A52264 301 41 ADB ADB NNP A52264 301 42 and and CC A52264 301 43 BDC BDC NNP A52264 301 44 , , , A52264 301 45 each each DT A52264 301 46 of of IN A52264 301 47 them -PRON- PRP A52264 301 48 like like VBP A52264 301 49 to to IN A52264 301 50 the the DT A52264 301 51 whole whole JJ A52264 301 52 triangle triangle NN A52264 301 53 ABC ABC NNP A52264 301 54 , , , A52264 301 55 and and CC A52264 301 56 each each DT A52264 301 57 like like UH A52264 301 58 to to IN A52264 301 59 one one CD A52264 301 60 another another DT A52264 301 61 also also RB A52264 301 62 , , , A52264 301 63 that that DT A52264 301 64 is be VBZ A52264 301 65 equiangled equiangle VBN A52264 301 66 one one CD A52264 301 67 to to IN A52264 301 68 another another DT A52264 301 69 . . . A52264 302 1 Demonstration demonstration NN A52264 302 2 . . . A52264 303 1 In in IN A52264 303 2 the the DT A52264 303 3 triangle triangle NN A52264 303 4 ABD ABD NNP A52264 303 5 , , , A52264 303 6 the the DT A52264 303 7 angles angle NNS A52264 303 8 ABD ABD NNP A52264 303 9 and and CC A52264 303 10 ADB ADB NNP A52264 303 11 are be VBP A52264 303 12 equal equal JJ A52264 303 13 to to IN A52264 303 14 the the DT A52264 303 15 angles angle NNS A52264 303 16 ACB ACB NNP A52264 303 17 and and CC A52264 303 18 ABC ABC NNP A52264 303 19 , , , A52264 303 20 because because IN A52264 303 21 of of IN A52264 303 22 their -PRON- PRP$ A52264 303 23 common common JJ A52264 303 24 angle angle NN A52264 303 25 at at IN A52264 303 26 A a NN A52264 303 27 , , , A52264 303 28 and and CC A52264 303 29 their -PRON- PRP$ A52264 303 30 right right JJ A52264 303 31 angles angle NNS A52264 303 32 at at IN A52264 303 33 B b NN A52264 303 34 and and CC A52264 303 35 D D NNP A52264 303 36 , , , A52264 303 37 and and CC A52264 303 38 in in IN A52264 303 39 the the DT A52264 303 40 triangle triangle NN A52264 303 41 CDB CDB NNP A52264 303 42 , , , A52264 303 43 the the DT A52264 303 44 angle angle NN A52264 303 45 . . . A52264 304 1 CBD CBD NNP A52264 304 2 and and CC A52264 304 3 BDC BDC NNP A52264 304 4 are be VBP A52264 304 5 equal equal JJ A52264 304 6 to to IN A52264 304 7 the the DT A52264 304 8 angles angle NNS A52264 304 9 ABC ABC NNP A52264 304 10 and and CC A52264 304 11 CAB CAB NNP A52264 304 12 , , , A52264 304 13 because because IN A52264 304 14 of of IN A52264 304 15 their -PRON- PRP$ A52264 304 16 common common JJ A52264 304 17 angle angle NN A52264 304 18 at at IN A52264 304 19 C C NNP A52264 304 20 , , , A52264 304 21 and and CC A52264 304 22 their -PRON- PRP$ A52264 304 23 right right JJ A52264 304 24 angles angle NNS A52264 304 25 at at IN A52264 304 26 B b NN A52264 304 27 and and CC A52264 304 28 D d NN A52264 304 29 ; ; : A52264 304 30 these these DT A52264 304 31 triangles triangle NNS A52264 304 32 are be VBP A52264 304 33 therefore therefore RB A52264 304 34 each each DT A52264 304 35 of of IN A52264 304 36 them -PRON- PRP A52264 304 37 like like VBP A52264 304 38 to to IN A52264 304 39 the the DT A52264 304 40 whole whole JJ A52264 304 41 triangle triangle NN A52264 304 42 ABC ABC NNP A52264 304 43 , , , A52264 304 44 and and CC A52264 304 45 by by IN A52264 304 46 consequence consequence NN A52264 304 47 like like UH A52264 304 48 to to IN A52264 304 49 one one CD A52264 304 50 another another DT A52264 304 51 . . . A52264 305 1 23 23 CD A52264 305 2 . . . A52264 306 1 Theor Theor NNP A52264 306 2 . . . A52264 307 1 If if IN A52264 307 2 two two CD A52264 307 3 sides side NNS A52264 307 4 of of IN A52264 307 5 one one CD A52264 307 6 triangle triangle NN A52264 307 7 be be VB A52264 307 8 equal equal JJ A52264 307 9 to to IN A52264 307 10 two two CD A52264 307 11 sides side NNS A52264 307 12 of of IN A52264 307 13 another another DT A52264 307 14 , , , A52264 307 15 & & CC A52264 307 16 the the DT A52264 307 17 angle angle NN A52264 307 18 comprehended comprehend VBN A52264 307 19 by by IN A52264 307 20 the the DT A52264 307 21 equal equal JJ A52264 307 22 sides side NNS A52264 307 23 equal equal JJ A52264 307 24 , , , A52264 307 25 the the DT A52264 307 26 third third JJ A52264 307 27 side side NN A52264 307 28 or or CC A52264 307 29 base base NN A52264 307 30 of of IN A52264 307 31 the the DT A52264 307 32 one one NN A52264 307 33 , , , A52264 307 34 shall shall MD A52264 307 35 be be VB A52264 307 36 equal equal JJ A52264 307 37 to to IN A52264 307 38 the the DT A52264 307 39 base base NN A52264 307 40 of of IN A52264 307 41 the the DT A52264 307 42 other other JJ A52264 307 43 , , , A52264 307 44 and and CC A52264 307 45 the the DT A52264 307 46 remaining remain VBG A52264 307 47 angles angle NNS A52264 307 48 of of IN A52264 307 49 the the DT A52264 307 50 one one NN A52264 307 51 equal equal JJ A52264 307 52 to to IN A52264 307 53 the the DT A52264 307 54 remaining remain VBG A52264 307 55 angles angle NNS A52264 307 56 of of IN A52264 307 57 the the DT A52264 307 58 other other JJ A52264 307 59 . . . A52264 308 1 Of of IN A52264 308 2 these these DT A52264 308 3 two two CD A52264 308 4 triangles triangle NNS A52264 308 5 CBH CBH NNP A52264 308 6 and and CC A52264 308 7 DEF DEF NNP A52264 308 8 , , , A52264 308 9 the the DT A52264 308 10 sides side NNS A52264 308 11 CB CB NNP A52264 308 12 & & CC A52264 308 13 BH BH NNP A52264 308 14 in in IN A52264 308 15 the the DT A52264 308 16 one one NN A52264 308 17 are be VBP A52264 308 18 equal equal JJ A52264 308 19 , , , A52264 308 20 to to IN A52264 308 21 DE DE NNP A52264 308 22 & & CC A52264 308 23 EF EF NNP A52264 308 24 in in IN A52264 308 25 the the DT A52264 308 26 other other JJ A52264 308 27 and and CC A52264 308 28 the the DT A52264 308 29 angle angle NN A52264 308 30 CBH CBH NNP A52264 308 31 equal equal JJ A52264 308 32 to to IN A52264 308 33 the the DT A52264 308 34 angle angle NN A52264 308 35 DEF DEF NNP A52264 308 36 , , , A52264 308 37 therefore therefore RB A52264 308 38 CH CH NNP A52264 308 39 in in IN A52264 308 40 one one CD A52264 308 41 is be VBZ A52264 308 42 equal equal JJ A52264 308 43 to to IN A52264 308 44 DF DF NNP A52264 308 45 in in IN A52264 308 46 the the DT A52264 308 47 other other JJ A52264 308 48 , , , A52264 308 49 for for IN A52264 308 50 if if IN A52264 308 51 the the DT A52264 308 52 base base NN A52264 308 53 CH CH NNP A52264 308 54 be be VB A52264 308 55 greater great JJR A52264 308 56 then then IN A52264 308 57 the the DT A52264 308 58 base base NN A52264 308 59 CF cf NN A52264 308 60 from from IN A52264 308 61 CH CH NNP A52264 308 62 let let VBP A52264 308 63 be be VB A52264 308 64 taken take VBN A52264 308 65 . . . A52264 309 1 CG CG NNP A52264 309 2 equal equal JJ A52264 309 3 to to IN A52264 309 4 DF DF NNP A52264 309 5 and and CC A52264 309 6 let let VB A52264 309 7 there there EX A52264 309 8 be be VB A52264 309 9 drawne drawne VB A52264 309 10 the the DT A52264 309 11 right right JJ A52264 309 12 line line NN A52264 309 13 BG BG NNP A52264 309 14 , , , A52264 309 15 now now RB A52264 309 16 if if IN A52264 309 17 BC BC NNP A52264 309 18 and and CC A52264 309 19 BG BG NNP A52264 309 20 be be VB A52264 309 21 equal equal JJ A52264 309 22 to to IN A52264 309 23 DE DE NNP A52264 309 24 and and CC A52264 309 25 EF EF NNP A52264 309 26 , , , A52264 309 27 yet yet CC A52264 309 28 the the DT A52264 309 29 angle angle NN A52264 309 30 CBG CBG NNP A52264 309 31 can can MD A52264 309 32 not not RB A52264 309 33 be be VB A52264 309 34 equal equal JJ A52264 309 35 to to IN A52264 309 36 the the DT A52264 309 37 angle angle NN A52264 309 38 DEF DEF NNP A52264 309 39 by by IN A52264 309 40 the the DT A52264 309 41 angle angle NN A52264 309 42 GBH GBH NNP A52264 309 43 which which WDT A52264 309 44 is be VBZ A52264 309 45 contrary contrary JJ A52264 309 46 to to IN A52264 309 47 the the DT A52264 309 48 Proposition Proposition NNP A52264 309 49 , , , A52264 309 50 and and CC A52264 309 51 therefore therefore RB A52264 309 52 CH CH NNP A52264 309 53 must must MD A52264 309 54 be be VB A52264 309 55 equal equal JJ A52264 309 56 to to IN A52264 309 57 DF DF NNP A52264 309 58 , , , A52264 309 59 and and CC A52264 309 60 consequently consequently RB A52264 309 61 the the DT A52264 309 62 angle angle NN A52264 309 63 BCH BCH NNP A52264 309 64 equal equal JJ A52264 309 65 to to IN A52264 309 66 EDF EDF NNP A52264 309 67 , , , A52264 309 68 and and CC A52264 309 69 CHB CHB NNP A52264 309 70 equal equal JJ A52264 309 71 to to IN A52264 309 72 DFE DFE NNP A52264 309 73 which which WDT A52264 309 74 was be VBD A52264 309 75 to to TO A52264 309 76 be be VB A52264 309 77 proved prove VBN A52264 309 78 . . . A52264 310 1 24 24 CD A52264 310 2 . . . A52264 311 1 Theor Theor NNP A52264 311 2 . . . A52264 312 1 An an DT A52264 312 2 Isocles Isocles NNPS A52264 312 3 or or CC A52264 312 4 triangle triangle NN A52264 312 5 of of IN A52264 312 6 two two CD A52264 312 7 equal equal JJ A52264 312 8 sides side NNS A52264 312 9 , , , A52264 312 10 hath hath VB A52264 312 11 his -PRON- PRP$ A52264 312 12 angles angle NNS A52264 312 13 at at IN A52264 312 14 the the DT A52264 312 15 base base NN A52264 312 16 equal equal VBP A52264 312 17 the the DT A52264 312 18 one one NN A52264 312 19 to to IN A52264 312 20 the the DT A52264 312 21 other other JJ A52264 312 22 , , , A52264 312 23 and and CC A52264 312 24 contrarily contrarily RB A52264 312 25 . . . A52264 313 1 25 25 CD A52264 313 2 . . . A52264 314 1 Theor Theor NNP A52264 314 2 . . . A52264 315 1 If if IN A52264 315 2 the the DT A52264 315 3 Radius Radius NNP A52264 315 4 of of IN A52264 315 5 a a DT A52264 315 6 circle circle NN A52264 315 7 be be VB A52264 315 8 divided divide VBN A52264 315 9 , , , A52264 315 10 in in IN A52264 315 11 extreame extreame NN A52264 315 12 and and CC A52264 315 13 mean mean JJ A52264 315 14 proportion proportion NN A52264 315 15 , , , A52264 315 16 the the DT A52264 315 17 greater great JJR A52264 315 18 segment segment NN A52264 315 19 shall shall MD A52264 315 20 be be VB A52264 315 21 the the DT A52264 315 22 side side NN A52264 315 23 of of IN A52264 315 24 a a DT A52264 315 25 Decangle Decangle NNP A52264 315 26 , , , A52264 315 27 in in IN A52264 315 28 the the DT A52264 315 29 same same JJ A52264 315 30 circle circle NN A52264 315 31 . . . A52264 316 1 These these DT A52264 316 2 foundations foundation NNS A52264 316 3 being be VBG A52264 316 4 laid lay VBN A52264 316 5 we -PRON- PRP A52264 316 6 will will MD A52264 316 7 proceed proceed VB A52264 316 8 to to IN A52264 316 9 the the DT A52264 316 10 making making NN A52264 316 11 of of IN A52264 316 12 the the DT A52264 316 13 tables table NNS A52264 316 14 , , , A52264 316 15 whereby whereby WRB A52264 316 16 any any DT A52264 316 17 triangle triangle NN A52264 316 18 may may MD A52264 316 19 be be VB A52264 316 20 measured measure VBN A52264 316 21 . . . A52264 317 1 Chap Chap NNP A52264 317 2 . . . A52264 318 1 III iii CD A52264 318 2 of of IN A52264 318 3 Trigonometria Trigonometria NNP A52264 318 4 , , , A52264 318 5 or or CC A52264 318 6 the the DT A52264 318 7 measuring measuring NN A52264 318 8 of of IN A52264 318 9 all all DT A52264 318 10 Triangles triangle NNS A52264 318 11 . . . A52264 319 1 THe the DT A52264 319 2 dimension dimension NN A52264 319 3 of of IN A52264 319 4 triangles triangle NNS A52264 319 5 , , , A52264 319 6 is be VBZ A52264 319 7 performed perform VBN A52264 319 8 by by IN A52264 319 9 the the DT A52264 319 10 Golden Golden NNP A52264 319 11 Rule Rule NNP A52264 319 12 of of IN A52264 319 13 Arithmetick Arithmetick NNP A52264 319 14 , , , A52264 319 15 which which WDT A52264 319 16 teacheth teacheth NNS A52264 319 17 of of IN A52264 319 18 four four CD A52264 319 19 numbers number NNS A52264 319 20 proportional proportional JJ A52264 319 21 one one CD A52264 319 22 to to IN A52264 319 23 another another DT A52264 319 24 , , , A52264 319 25 any any DT A52264 319 26 three three CD A52264 319 27 of of IN A52264 319 28 them -PRON- PRP A52264 319 29 being be VBG A52264 319 30 given give VBN A52264 319 31 , , , A52264 319 32 to to TO A52264 319 33 finde finde VB A52264 319 34 out out RP A52264 319 35 a a DT A52264 319 36 fourth fourth JJ A52264 319 37 . . . A52264 320 1 Therefore therefore RB A52264 320 2 for for IN A52264 320 3 the the DT A52264 320 4 measuring measuring NN A52264 320 5 of of IN A52264 320 6 all all DT A52264 320 7 triangles triangle NNS A52264 320 8 there there EX A52264 320 9 must must MD A52264 320 10 be be VB A52264 320 11 certain certain JJ A52264 320 12 proportions proportion NNS A52264 320 13 of of IN A52264 320 14 all all PDT A52264 320 15 the the DT A52264 320 16 parts part NNS A52264 320 17 of of IN A52264 320 18 a a DT A52264 320 19 triangle triangle NN A52264 320 20 one one CD A52264 320 21 to to IN A52264 320 22 another another DT A52264 320 23 , , , A52264 320 24 and and CC A52264 320 25 these these DT A52264 320 26 proportions proportion NNS A52264 320 27 must must MD A52264 320 28 be be VB A52264 320 29 explained explain VBN A52264 320 30 in in IN A52264 320 31 numbers number NNS A52264 320 32 . . . A52264 321 1 2 2 LS A52264 321 2 . . . A52264 322 1 And and CC A52264 322 2 the the DT A52264 322 3 proportions proportion NNS A52264 322 4 of of IN A52264 322 5 all all PDT A52264 322 6 the the DT A52264 322 7 parts part NNS A52264 322 8 of of IN A52264 322 9 a a DT A52264 322 10 triangle triangle NN A52264 322 11 one one CD A52264 322 12 to to IN A52264 322 13 another another DT A52264 322 14 can can MD A52264 322 15 not not RB A52264 322 16 be be VB A52264 322 17 certain certain JJ A52264 322 18 unlesse unlesse IN A52264 322 19 the the DT A52264 322 20 arches arch NNS A52264 322 21 of of IN A52264 322 22 circles circle NNS A52264 322 23 ( ( -LRB- A52264 322 24 by by IN A52264 322 25 which which WDT A52264 322 26 the the DT A52264 322 27 angles angle NNS A52264 322 28 of of IN A52264 322 29 all all DT A52264 322 30 triangles triangle NNS A52264 322 31 , , , A52264 322 32 and and CC A52264 322 33 of of IN A52264 322 34 Spherical spherical JJ A52264 322 35 triangles triangle NNS A52264 322 36 , , , A52264 322 37 also also RB A52264 322 38 the the DT A52264 322 39 sides side NNS A52264 322 40 are be VBP A52264 322 41 measured measure VBN A52264 322 42 ) ) -RRB- A52264 322 43 be be VB A52264 322 44 first first RB A52264 322 45 reduced reduce VBN A52264 322 46 into into IN A52264 322 47 right right JJ A52264 322 48 lines line NNS A52264 322 49 , , , A52264 322 50 because because IN A52264 322 51 the the DT A52264 322 52 proportions proportion NNS A52264 322 53 of of IN A52264 322 54 arches arch NNS A52264 322 55 one one CD A52264 322 56 to to IN A52264 322 57 another another DT A52264 322 58 , , , A52264 322 59 or or CC A52264 322 60 of of IN A52264 322 61 an an DT A52264 322 62 arch arch NN A52264 322 63 to to IN A52264 322 64 a a DT A52264 322 65 right right JJ A52264 322 66 line line NN A52264 322 67 , , , A52264 322 68 is be VBZ A52264 322 69 not not RB A52264 322 70 as as RB A52264 322 71 yet yet RB A52264 322 72 found find VBN A52264 322 73 out out RP A52264 322 74 . . . A52264 323 1 3 3 LS A52264 323 2 . . . A52264 324 1 The the DT A52264 324 2 arches arch NNS A52264 324 3 of of IN A52264 324 4 every every DT A52264 324 5 circle circle NN A52264 324 6 are be VBP A52264 324 7 after after IN A52264 324 8 a a DT A52264 324 9 sort sort RB A52264 324 10 reduced reduce VBN A52264 324 11 to to IN A52264 324 12 right right JJ A52264 324 13 lines line NNS A52264 324 14 , , , A52264 324 15 by by IN A52264 324 16 defining define VBG A52264 324 17 the the DT A52264 324 18 quantity quantity NN A52264 324 19 , , , A52264 324 20 which which WDT A52264 324 21 the the DT A52264 324 22 right right JJ A52264 324 23 lines line NNS A52264 324 24 to to IN A52264 324 25 them -PRON- PRP A52264 324 26 applied apply VBD A52264 324 27 have have VBP A52264 324 28 , , , A52264 324 29 in in IN A52264 324 30 respect respect NN A52264 324 31 of of IN A52264 324 32 Radius Radius NNP A52264 324 33 , , , A52264 324 34 or or CC A52264 324 35 the the DT A52264 324 36 Semidiameter Semidiameter NNP A52264 324 37 of of IN A52264 324 38 the the DT A52264 324 39 circle circle NN A52264 324 40 . . . A52264 325 1 4 4 LS A52264 325 2 . . . A52264 326 1 The the DT A52264 326 2 arches arch NNS A52264 326 3 of of IN A52264 326 4 a a DT A52264 326 5 circle circle NN A52264 326 6 thus thus RB A52264 326 7 reduced reduce VBN A52264 326 8 to to IN A52264 326 9 right right JJ A52264 326 10 lines line NNS A52264 326 11 are be VBP A52264 326 12 either either CC A52264 326 13 Chords Chords NNPS A52264 326 14 , , , A52264 326 15 Sines Sines NNPS A52264 326 16 , , , A52264 326 17 Tangents Tangents NNP A52264 326 18 , , , A52264 326 19 or or CC A52264 326 20 Secants Secants NNP A52264 326 21 , , , A52264 326 22 5 5 CD A52264 326 23 . . . A52264 327 1 A a DT A52264 327 2 Chord Chord NNP A52264 327 3 or or CC A52264 327 4 Subtense Subtense NNP A52264 327 5 is be VBZ A52264 327 6 a a DT A52264 327 7 right right JJ A52264 327 8 line line NN A52264 327 9 inscribed inscribe VBN A52264 327 10 in in IN A52264 327 11 a a DT A52264 327 12 circle circle NN A52264 327 13 , , , A52264 327 14 dividing divide VBG A52264 327 15 the the DT A52264 327 16 whole whole JJ A52264 327 17 circle circle NN A52264 327 18 into into IN A52264 327 19 two two CD A52264 327 20 segments segment NNS A52264 327 21 , , , A52264 327 22 and and CC A52264 327 23 in in IN A52264 327 24 like like JJ A52264 327 25 manner manner NN A52264 327 26 subtending subtend VBG A52264 327 27 both both CC A52264 327 28 the the DT A52264 327 29 segments segment NNS A52264 327 30 . . . A52264 328 1 6 6 CD A52264 328 2 . . . A52264 329 1 A a DT A52264 329 2 chord chord NN A52264 329 3 or or CC A52264 329 4 subtense subtense NN A52264 329 5 is be VBZ A52264 329 6 either either CC A52264 329 7 the the DT A52264 329 8 greatest great JJS A52264 329 9 or or CC A52264 329 10 not not RB A52264 329 11 the the DT A52264 329 12 greatest great JJS A52264 329 13 . . . A52264 330 1 7 7 LS A52264 330 2 . . . A52264 331 1 The the DT A52264 331 2 greatest great JJS A52264 331 3 Subtense Subtense NNP A52264 331 4 is be VBZ A52264 331 5 that that DT A52264 331 6 which which WDT A52264 331 7 divideth divideth VBP A52264 331 8 the the DT A52264 331 9 whole whole JJ A52264 331 10 circle circle NN A52264 331 11 into into IN A52264 331 12 two two CD A52264 331 13 equal equal JJ A52264 331 14 segments segment NNS A52264 331 15 , , , A52264 331 16 as as IN A52264 331 17 the the DT A52264 331 18 right right JJ A52264 331 19 line line NN A52264 331 20 GD GD NNP A52264 331 21 , , , A52264 331 22 and and CC A52264 331 23 is be VBZ A52264 331 24 also also RB A52264 331 25 commonly commonly RB A52264 331 26 called call VBN A52264 331 27 a a DT A52264 331 28 diameter diameter NN A52264 331 29 . . . A52264 332 1 8 8 LS A52264 332 2 . . . A52264 333 1 A a DT A52264 333 2 subtense subtense NN A52264 333 3 not not RB A52264 333 4 the the DT A52264 333 5 greatest great JJS A52264 333 6 , , , A52264 333 7 is be VBZ A52264 333 8 that that DT A52264 333 9 which which WDT A52264 333 10 divideth divideth VBP A52264 333 11 the the DT A52264 333 12 whole whole JJ A52264 333 13 circle circle NN A52264 333 14 into into IN A52264 333 15 two two CD A52264 333 16 unequal unequal JJ A52264 333 17 segments segment NNS A52264 333 18 : : : A52264 333 19 and and CC A52264 333 20 so so RB A52264 333 21 on on IN A52264 333 22 the the DT A52264 333 23 one one CD A52264 333 24 side side NN A52264 333 25 subtendeth subtendeth VBP A52264 333 26 an an DT A52264 333 27 arch arch NN A52264 333 28 less less RBR A52264 333 29 then then RB A52264 333 30 a a DT A52264 333 31 semicircle semicircle NN A52264 333 32 ; ; : A52264 333 33 and and CC A52264 333 34 on on IN A52264 333 35 the the DT A52264 333 36 other other JJ A52264 333 37 side side NN A52264 333 38 subtendeth subtendeth VBP A52264 333 39 an an DT A52264 333 40 arch arch NN A52264 333 41 more more RBR A52264 333 42 then then IN A52264 333 43 a a DT A52264 333 44 semicircle semicircle NN A52264 333 45 , , , A52264 333 46 as as IN A52264 333 47 the the DT A52264 333 48 right right JJ A52264 333 49 line line NN A52264 333 50 CK CK NNP A52264 333 51 on on IN A52264 333 52 the the DT A52264 333 53 one one CD A52264 333 54 side side NN A52264 333 55 subtendeth subtendeth VB A52264 333 56 the the DT A52264 333 57 arch arch JJ A52264 333 58 CDK CDK NNP A52264 333 59 , , , A52264 333 60 lesse lesse NNP A52264 333 61 then then RB A52264 333 62 a a DT A52264 333 63 semicircle semicircle NN A52264 333 64 ; ; : A52264 333 65 and and CC A52264 333 66 on on IN A52264 333 67 the the DT A52264 333 68 other other JJ A52264 333 69 side side NN A52264 333 70 subtendeth subtendeth VBP A52264 333 71 the the DT A52264 333 72 arch arch JJ A52264 333 73 CGK CGK NNP A52264 333 74 more more RBR A52264 333 75 then then RB A52264 333 76 a a DT A52264 333 77 semicircle semicircle NN A52264 333 78 . . . A52264 334 1 9 9 CD A52264 334 2 . . . A52264 335 1 A a DT A52264 335 2 sine sine NN A52264 335 3 is be VBZ A52264 335 4 either either CC A52264 335 5 right right JJ A52264 335 6 or or CC A52264 335 7 versed versed JJ A52264 335 8 . . . A52264 336 1 10 10 CD A52264 336 2 . . . A52264 337 1 A a DT A52264 337 2 right right JJ A52264 337 3 sine sine NN A52264 337 4 is be VBZ A52264 337 5 the the DT A52264 337 6 one one CD A52264 337 7 half half NN A52264 337 8 of of IN A52264 337 9 the the DT A52264 337 10 subtense subtense NN A52264 337 11 of of IN A52264 337 12 the the DT A52264 337 13 double double JJ A52264 337 14 arch arch NN A52264 337 15 , , , A52264 337 16 as as IN A52264 337 17 the the DT A52264 337 18 right right JJ A52264 337 19 sine sine NN A52264 337 20 of of IN A52264 337 21 the the DT A52264 337 22 arches arch NNS A52264 337 23 CD CD NNP A52264 337 24 and and CC A52264 337 25 CG CG NNP A52264 337 26 is be VBZ A52264 337 27 the the DT A52264 337 28 right right JJ A52264 337 29 line line NN A52264 337 30 AC AC NNP A52264 337 31 , , , A52264 337 32 be be VB A52264 337 33 ● ● NFP A52264 337 34 ● ● NFP A52264 337 35 ● ● NFP A52264 337 36 half half PDT A52264 337 37 the the DT A52264 337 38 chord chord NN A52264 337 39 or or CC A52264 337 40 subtense subtense NN A52264 337 41 of of IN A52264 337 42 the the DT A52264 337 43 double double JJ A52264 337 44 arches arch NNS A52264 337 45 of of IN A52264 337 46 CD CD NNP A52264 337 47 and and CC A52264 337 48 CG CG NNP A52264 337 49 , , , A52264 337 50 that that RB A52264 337 51 is is RB A52264 337 52 , , , A52264 337 53 half half NN A52264 337 54 of of IN A52264 337 55 the the DT A52264 337 56 right right JJ A52264 337 57 line line NN A52264 337 58 CAK CAK NNP A52264 337 59 , , , A52264 337 60 which which WDT A52264 337 61 subtendeth subtendeth VBP A52264 337 62 the the DT A52264 337 63 arches arch NNS A52264 337 64 CDK CDK NNP A52264 337 65 and and CC A52264 337 66 CGK CGK NNP A52264 337 67 ; ; : A52264 337 68 whence whence IN A52264 337 69 it -PRON- PRP A52264 337 70 is be VBZ A52264 337 71 manifest manif JJS A52264 337 72 , , , A52264 337 73 that that IN A52264 337 74 the the DT A52264 337 75 right right JJ A52264 337 76 sine sine NN A52264 337 77 of of IN A52264 337 78 an an DT A52264 337 79 arch arch JJ A52264 337 80 lesse lesse NN A52264 337 81 then then RB A52264 337 82 a a DT A52264 337 83 Quadrant Quadrant NNP A52264 337 84 , , , A52264 337 85 is be VBZ A52264 337 86 also also RB A52264 337 87 the the DT A52264 337 88 right right JJ A52264 337 89 sine sine NN A52264 337 90 of of IN A52264 337 91 an an DT A52264 337 92 arch arch NN A52264 337 93 greater great JJR A52264 337 94 th th XX A52264 337 95 ● ● NFP A52264 337 96 n n NN A52264 337 97 a a DT A52264 337 98 Quadrant quadrant NN A52264 337 99 . . . A52264 338 1 For for IN A52264 338 2 as as IN A52264 338 3 the the DT A52264 338 4 arch arch JJ A52264 338 5 CD CD NNP A52264 338 6 is be VBZ A52264 338 7 lesse lesse NNP A52264 338 8 then then RB A52264 338 9 a a DT A52264 338 10 Quadrant Quadrant NNP A52264 338 11 by by IN A52264 338 12 the the DT A52264 338 13 arch arch JJ A52264 338 14 CE CE NNP A52264 338 15 ; ; : A52264 338 16 so so RB A52264 338 17 the the DT A52264 338 18 arch arch JJ A52264 338 19 CG cg NN A52264 338 20 doth doth NN A52264 338 21 as as RB A52264 338 22 much much JJ A52264 338 23 exceed exceed VBP A52264 338 24 a a DT A52264 338 25 Quadrant Quadrant NNP A52264 338 26 , , , A52264 338 27 the the DT A52264 338 28 right right JJ A52264 338 29 line line NN A52264 338 30 AC AC NNP A52264 338 31 being be VBG A52264 338 32 the the DT A52264 338 33 right right JJ A52264 338 34 sine sine NN A52264 338 35 unto unto IN A52264 338 36 them -PRON- PRP A52264 338 37 both both DT A52264 338 38 . . . A52264 339 1 And and CC A52264 339 2 hence hence RB A52264 339 3 instead instead RB A52264 339 4 of of IN A52264 339 5 the the DT A52264 339 6 obtuse obtuse NNP A52264 339 7 angle angle NN A52264 339 8 GBC GBC NNP A52264 339 9 , , , A52264 339 10 which which WDT A52264 339 11 exceeds exceed VBZ A52264 339 12 90 90 CD A52264 339 13 degrees degree NNS A52264 339 14 , , , A52264 339 15 we -PRON- PRP A52264 339 16 take take VBP A52264 339 17 the the DT A52264 339 18 acute acute JJ A52264 339 19 angle angle NN A52264 339 20 CBA CBA NNP A52264 339 21 , , , A52264 339 22 the the DT A52264 339 23 complement complement NN A52264 339 24 thereof thereof RB A52264 339 25 to to IN A52264 339 26 180 180 CD A52264 339 27 : : : A52264 339 28 and and CC A52264 339 29 so so RB A52264 339 30 our -PRON- PRP$ A52264 339 31 Canon Canon NNP A52264 339 32 of of IN A52264 339 33 sines sine NNS A52264 339 34 doth doth NNP A52264 339 35 never never RB A52264 339 36 exceed exceed VBP A52264 339 37 a a DT A52264 339 38 quadrant quadrant NN A52264 339 39 or or CC A52264 339 40 90 90 CD A52264 339 41 d. d. NN A52264 339 42 11 11 CD A52264 339 43 . . . A52264 340 1 Againe Againe NNP A52264 340 2 , , , A52264 340 3 a a DT A52264 340 4 right right NN A52264 340 5 〈 〈 NNS A52264 340 6 ◊ ◊ NNP A52264 340 7 〉 〉 NNP A52264 340 8 is be VBZ A52264 340 9 either either DT A52264 340 10 Sinus Sinus NNP A52264 340 11 totus totus NN A52264 340 12 , , , A52264 340 13 that that DT A52264 340 14 is be VBZ A52264 340 15 the the DT A52264 340 16 Radius Radius NNP A52264 340 17 or or CC A52264 340 18 whole whole JJ A52264 340 19 sine sine NN A52264 340 20 , , , A52264 340 21 as as IN A52264 340 22 in in IN A52264 340 23 the the DT A52264 340 24 triangle triangle NN A52264 340 25 ABC ABC NNP A52264 340 26 , , , A52264 340 27 AC AC NNP A52264 340 28 is be VBZ A52264 340 29 the the DT A52264 340 30 Radius Radius NNP A52264 340 31 , , , A52264 340 32 semidiameter semidiameter NN A52264 340 33 , , , A52264 340 34 or or CC A52264 340 35 whole whole RB A52264 340 36 sine sine NN A52264 340 37 , , , A52264 340 38 Or or CC A52264 340 39 else else RB A52264 340 40 the the DT A52264 340 41 right right JJ A52264 340 42 sine sine NN A52264 340 43 is be VBZ A52264 340 44 the the DT A52264 340 45 Sinus Sinus NNP A52264 340 46 simpliciter simpliciter NN A52264 340 47 , , , A52264 340 48 that that RB A52264 340 49 is is RB A52264 340 50 , , , A52264 340 51 the the DT A52264 340 52 first first JJ A52264 340 53 sine sine NN A52264 340 54 , , , A52264 340 55 as as IN A52264 340 56 CA CA NNP A52264 340 57 or or CC A52264 340 58 BA BA NNP A52264 340 59 , , , A52264 340 60 the the DT A52264 340 61 one one NN A52264 340 62 whereof whereof NN A52264 340 63 is be VBZ A52264 340 64 alwayes alwayes NNP A52264 340 65 the the DT A52264 340 66 complement complement NN A52264 340 67 of of IN A52264 340 68 the the DT A52264 340 69 other other JJ A52264 340 70 to to TO A52264 340 71 90 90 CD A52264 340 72 degrees degree NNS A52264 340 73 ; ; : A52264 340 74 we -PRON- PRP A52264 340 75 usualy usualy NNP A52264 340 76 call call VBP A52264 340 77 them -PRON- PRP A52264 340 78 sine sine RB A52264 340 79 and and CC A52264 340 80 co co JJ A52264 340 81 - - NN A52264 340 82 sine sine NN A52264 340 83 . . . A52264 341 1 12 12 CD A52264 341 2 . . . A52264 342 1 The the DT A52264 342 2 versed versed JJ A52264 342 3 sine sine NN A52264 342 4 of of IN A52264 342 5 an an DT A52264 342 6 arch arch NN A52264 342 7 is be VBZ A52264 342 8 that that DT A52264 342 9 part part NN A52264 342 10 of of IN A52264 342 11 the the DT A52264 342 12 diameter diameter NN A52264 342 13 , , , A52264 342 14 which which WDT A52264 342 15 lieth lieth VBP A52264 342 16 between between IN A52264 342 17 the the DT A52264 342 18 right right JJ A52264 342 19 sine sine NN A52264 342 20 of of IN A52264 342 21 that that DT A52264 342 22 arch arch NN A52264 342 23 and and CC A52264 342 24 the the DT A52264 342 25 circumference circumference NN A52264 342 26 . . . A52264 343 1 Thus thus RB A52264 343 2 AD ad NN A52264 343 3 is be VBZ A52264 343 4 the the DT A52264 343 5 versed versed JJ A52264 343 6 sine sine NN A52264 343 7 of of IN A52264 343 8 the the DT A52264 343 9 arch arch JJ A52264 343 10 CD cd NN A52264 343 11 , , , A52264 343 12 and and CC A52264 343 13 AG AG NNP A52264 343 14 the the DT A52264 343 15 versed versed JJ A52264 343 16 Sine Sine NNP A52264 343 17 of of IN A52264 343 18 the the DT A52264 343 19 arch arch JJ A52264 343 20 CEG ceg NN A52264 343 21 ; ; : A52264 343 22 therefore therefore RB A52264 343 23 of of IN A52264 343 24 versed versed JJ A52264 343 25 Sines Sines NNP A52264 343 26 some some DT A52264 343 27 are be VBP A52264 343 28 greater great JJR A52264 343 29 , , , A52264 343 30 and and CC A52264 343 31 some some DT A52264 343 32 are be VBP A52264 343 33 lesse lesse JJ A52264 343 34 . . . A52264 344 1 13 13 CD A52264 344 2 . . . A52264 345 1 A a DT A52264 345 2 greater great JJR A52264 345 3 versed versed JJ A52264 345 4 Sine Sine NNP A52264 345 5 is be VBZ A52264 345 6 the the DT A52264 345 7 versed versed JJ A52264 345 8 Sine Sine NNP A52264 345 9 of of IN A52264 345 10 an an DT A52264 345 11 arch arch NN A52264 345 12 greater great JJR A52264 345 13 then then RB A52264 345 14 a a DT A52264 345 15 Quadrant Quadrant NNP A52264 345 16 , , , A52264 345 17 as as IN A52264 345 18 AG AG NNP A52264 345 19 is be VBZ A52264 345 20 the the DT A52264 345 21 versed versed JJ A52264 345 22 Sine Sine NNP A52264 345 23 of of IN A52264 345 24 the the DT A52264 345 25 arch arch JJ A52264 345 26 CEG CEG NNP A52264 345 27 greater great JJR A52264 345 28 then then RB A52264 345 29 a a DT A52264 345 30 Quadrant Quadrant NNP A52264 345 31 . . . A52264 346 1 14 14 CD A52264 346 2 . . . A52264 347 1 A a DT A52264 347 2 lesser less JJR A52264 347 3 versed versed JJ A52264 347 4 sine sine NN A52264 347 5 is be VBZ A52264 347 6 the the DT A52264 347 7 versed versed JJ A52264 347 8 Sine Sine NNP A52264 347 9 of of IN A52264 347 10 an an DT A52264 347 11 arch arch JJ A52264 347 12 lesse lesse NN A52264 347 13 then then RB A52264 347 14 a a DT A52264 347 15 Quadrant Quadrant NNP A52264 347 16 , , , A52264 347 17 as as IN A52264 347 18 AD ad NN A52264 347 19 is be VBZ A52264 347 20 the the DT A52264 347 21 versed versed JJ A52264 347 22 sine sine NN A52264 347 23 of of IN A52264 347 24 the the DT A52264 347 25 arch arch JJ A52264 347 26 CD cd NN A52264 347 27 less less RBR A52264 347 28 then then RB A52264 347 29 a a DT A52264 347 30 Quadrant Quadrant NNP A52264 347 31 . . . A52264 348 1 15 15 CD A52264 348 2 . . . A52264 349 1 A a DT A52264 349 2 tangent tangent NN A52264 349 3 of of IN A52264 349 4 an an DT A52264 349 5 arch arch JJ A52264 349 6 or or CC A52264 349 7 angle angle NN A52264 349 8 is be VBZ A52264 349 9 a a DT A52264 349 10 right right JJ A52264 349 11 line line NN A52264 349 12 drawn draw VBN A52264 349 13 perpendicular perpendicular JJ A52264 349 14 to to IN A52264 349 15 the the DT A52264 349 16 Radius Radius NNP A52264 349 17 or or CC A52264 349 18 semidiameter semidiameter NN A52264 349 19 of of IN A52264 349 20 the the DT A52264 349 21 circle circle NN A52264 349 22 of of IN A52264 349 23 the the DT A52264 349 24 triangle triangle NN A52264 349 25 , , , A52264 349 26 so so IN A52264 349 27 as as IN A52264 349 28 that that IN A52264 349 29 it -PRON- PRP A52264 349 30 toucheth toucheth VBZ A52264 349 31 the the DT A52264 349 32 outside outside NN A52264 349 33 of of IN A52264 349 34 the the DT A52264 349 35 circumference circumference NN A52264 349 36 , , , A52264 349 37 And and CC A52264 349 38 thus thus RB A52264 349 39 the the DT A52264 349 40 right right JJ A52264 349 41 line line NN A52264 349 42 FD FD NNP A52264 349 43 is be VBZ A52264 349 44 the the DT A52264 349 45 tangent tangent NN A52264 349 46 of of IN A52264 349 47 the the DT A52264 349 48 arch arch JJ A52264 349 49 DC DC NNP A52264 349 50 . . . A52264 350 1 16 16 CD A52264 350 2 . . . A52264 351 1 A a DT A52264 351 2 secant secant NN A52264 351 3 is be VBZ A52264 351 4 a a DT A52264 351 5 right right JJ A52264 351 6 line line NN A52264 351 7 proceeding proceed VBG A52264 351 8 from from IN A52264 351 9 the the DT A52264 351 10 center center NN A52264 351 11 of of IN A52264 351 12 the the DT A52264 351 13 circle circle NN A52264 351 14 , , , A52264 351 15 and and CC A52264 351 16 extended extend VBD A52264 351 17 through through IN A52264 351 18 the the DT A52264 351 19 circumference circumference NN A52264 351 20 to to IN A52264 351 21 the the DT A52264 351 22 end end NN A52264 351 23 of of IN A52264 351 24 the the DT A52264 351 25 tangent tangent NN A52264 351 26 ; ; : A52264 351 27 and and CC A52264 351 28 thus thus RB A52264 351 29 BF BF NNP A52264 351 30 is be VBZ A52264 351 31 the the DT A52264 351 32 Secant Secant NNP A52264 351 33 of of IN A52264 351 34 the the DT A52264 351 35 arch arch JJ A52264 351 36 DC DC NNP A52264 351 37 . . . A52264 352 1 17 17 CD A52264 352 2 . . . A52264 353 1 The the DT A52264 353 2 definition definition NN A52264 353 3 of of IN A52264 353 4 the the DT A52264 353 5 quantity quantity NN A52264 353 6 which which WDT A52264 353 7 right right JJ A52264 353 8 lines line NNS A52264 353 9 applyed apply VBD A52264 353 10 to to IN A52264 353 11 a a DT A52264 353 12 circle circle NN A52264 353 13 have have VBP A52264 353 14 , , , A52264 353 15 is be VBZ A52264 353 16 the the DT A52264 353 17 making making NN A52264 353 18 of of IN A52264 353 19 the the DT A52264 353 20 Tables Tables NNPS A52264 353 21 of of IN A52264 353 22 Sines Sines NNPS A52264 353 23 , , , A52264 353 24 tangents tangent NNS A52264 353 25 and and CC A52264 353 26 secants secant NNS A52264 353 27 ; ; : A52264 353 28 that that DT A52264 353 29 is be VBZ A52264 353 30 to to TO A52264 353 31 say say VB A52264 353 32 , , , A52264 353 33 of of IN A52264 353 34 right right JJ A52264 353 35 Sines Sines NNPS A52264 353 36 and and CC A52264 353 37 not not RB A52264 353 38 of of IN A52264 353 39 versed verse VBN A52264 353 40 ; ; : A52264 353 41 for for IN A52264 353 42 the the DT A52264 353 43 versed versed JJ A52264 353 44 Sines Sines NNPS A52264 353 45 are be VBP A52264 353 46 found find VBN A52264 353 47 by by IN A52264 353 48 the the DT A52264 353 49 right right NN A52264 353 50 without without IN A52264 353 51 any any DT A52264 353 52 labour labour NN A52264 353 53 . . . A52264 354 1 18 18 CD A52264 354 2 . . . A52264 355 1 The the DT A52264 355 2 lesser less JJR A52264 355 3 versed versed JJ A52264 355 4 sine sine NN A52264 355 5 with with IN A52264 355 6 the the DT A52264 355 7 sine sine NN A52264 355 8 of of IN A52264 355 9 the the DT A52264 355 10 complement complement NN A52264 355 11 is be VBZ A52264 355 12 equal equal JJ A52264 355 13 to to IN A52264 355 14 the the DT A52264 355 15 Rad Rad NNP A52264 355 16 ● ● NNP A52264 355 17 ● ● NFP A52264 355 18 ● ● NFP A52264 355 19 as as IN A52264 355 20 the the DT A52264 355 21 lesser less JJR A52264 355 22 versed verse VBD A52264 355 23 sine sine NN A52264 355 24 AD AD NNP A52264 355 25 with with IN A52264 355 26 the the DT A52264 355 27 right right JJ A52264 355 28 sine sine NN A52264 355 29 of of IN A52264 355 30 the the DT A52264 355 31 complement complement JJ A52264 355 32 AB AB NNP A52264 355 33 is be VBZ A52264 355 34 equal equal JJ A52264 355 35 to to IN A52264 355 36 the the DT A52264 355 37 Radius Radius NNP A52264 355 38 BD BD NNP A52264 355 39 ; ; : A52264 355 40 therefore therefore RB A52264 355 41 if if IN A52264 355 42 you -PRON- PRP A52264 355 43 substract substract VBP A52264 355 44 the the DT A52264 355 45 right right JJ A52264 355 46 sine sine NN A52264 355 47 of of IN A52264 355 48 the the DT A52264 355 49 complement complement JJ A52264 355 50 AB AB NNP A52264 355 51 from from IN A52264 355 52 the the DT A52264 355 53 Radius Radius NNP A52264 355 54 BD BD NNP A52264 355 55 , , , A52264 355 56 the the DT A52264 355 57 remainder remainder NN A52264 355 58 is be VBZ A52264 355 59 the the DT A52264 355 60 versed versed JJ A52264 355 61 sine sine NN A52264 355 62 AD AD NNP A52264 355 63 . . . A52264 356 1 19 19 CD A52264 356 2 . . . A52264 357 1 The the DT A52264 357 2 greater great JJR A52264 357 3 versed versed JJ A52264 357 4 sine sine NN A52264 357 5 is be VBZ A52264 357 6 equal equal JJ A52264 357 7 to to IN A52264 357 8 the the DT A52264 357 9 Radius radius NN A52264 357 10 added add VBN A52264 357 11 to to IN A52264 357 12 the the DT A52264 357 13 right right JJ A52264 357 14 sine sine NN A52264 357 15 of of IN A52264 357 16 the the DT A52264 357 17 excesse excesse NN A52264 357 18 of of IN A52264 357 19 an an DT A52264 357 20 arch arch NN A52264 357 21 more more RBR A52264 357 22 then then RB A52264 357 23 a a DT A52264 357 24 Quadrant Quadrant NNP A52264 357 25 , , , A52264 357 26 as as IN A52264 357 27 the the DT A52264 357 28 greater great JJR A52264 357 29 versed versed JJ A52264 357 30 sine sine NN A52264 357 31 AG AG NNP A52264 357 32 is be VBZ A52264 357 33 equal equal JJ A52264 357 34 to to IN A52264 357 35 the the DT A52264 357 36 Radius Radius NNP A52264 357 37 BG BG NNP A52264 357 38 with with IN A52264 357 39 the the DT A52264 357 40 sine sine NN A52264 357 41 of of IN A52264 357 42 the the DT A52264 357 43 excess excess JJ A52264 357 44 AC ac NN A52264 357 45 : : : A52264 357 46 therefore therefore RB A52264 357 47 if if IN A52264 357 48 you -PRON- PRP A52264 357 49 adde adde VBP A52264 357 50 the the DT A52264 357 51 right right JJ A52264 357 52 sine sine NN A52264 357 53 of of IN A52264 357 54 the the DT A52264 357 55 excess excess JJ A52264 357 56 AB ab NN A52264 357 57 to to IN A52264 357 58 the the DT A52264 357 59 Radins Radins NNP A52264 357 60 BG BG NNP A52264 357 61 , , , A52264 357 62 you -PRON- PRP A52264 357 63 shal shal VBP A52264 357 64 have have VBP A52264 357 65 the the DT A52264 357 66 versed versed JJ A52264 357 67 sine sine NN A52264 357 68 of of IN A52264 357 69 the the DT A52264 357 70 arch arch JJ A52264 357 71 CEG CEG NNP A52264 357 72 , , , A52264 357 73 & & CC A52264 357 74 so so RB A52264 357 75 there there EX A52264 357 76 is be VBZ A52264 357 77 no no DT A52264 357 78 need need NN A52264 357 79 of of IN A52264 357 80 the the DT A52264 357 81 table table NN A52264 357 82 of of IN A52264 357 83 versed versed JJ A52264 357 84 sines sine NNS A52264 357 85 , , , A52264 357 86 the the DT A52264 357 87 right right JJ A52264 357 88 sines sine NNS A52264 357 89 may may MD A52264 357 90 thus thus RB A52264 357 91 be be VB A52264 357 92 made make VBN A52264 357 93 . . . A52264 358 1 20 20 CD A52264 358 2 . . . A52264 359 1 The the DT A52264 359 2 Tables Tables NNPS A52264 359 3 of of IN A52264 359 4 Sines Sines NNPS A52264 359 5 , , , A52264 359 6 Tangents Tangents NNP A52264 359 7 , , , A52264 359 8 and and CC A52264 359 9 Secants Secants NNP A52264 359 10 may may MD A52264 359 11 be be VB A52264 359 12 made make VBN A52264 359 13 to to IN A52264 359 14 minutes minute NNS A52264 359 15 , , , A52264 359 16 but but CC A52264 359 17 may may MD A52264 359 18 , , , A52264 359 19 by by IN A52264 359 20 the the DT A52264 359 21 like like JJ A52264 359 22 reason reason NN A52264 359 23 , , , A52264 359 24 be be VB A52264 359 25 made make VBN A52264 359 26 to to IN A52264 359 27 seconds second NNS A52264 359 28 , , , A52264 359 29 thirds third NNS A52264 359 30 , , , A52264 359 31 fourths fourth NNS A52264 359 32 , , , A52264 359 33 or or CC A52264 359 34 more more JJR A52264 359 35 , , , A52264 359 36 if if IN A52264 359 37 any any DT A52264 359 38 please please NN A52264 359 39 to to TO A52264 359 40 take take VB A52264 359 41 that that DT A52264 359 42 paines paine NNS A52264 359 43 : : : A52264 359 44 for for IN A52264 359 45 the the DT A52264 359 46 making making NN A52264 359 47 whereof whereof IN A52264 359 48 the the DT A52264 359 49 Radius Radius NNP A52264 359 50 must must MD A52264 359 51 first first RB A52264 359 52 be be VB A52264 359 53 taken take VBN A52264 359 54 of of IN A52264 359 55 a a DT A52264 359 56 certain certain JJ A52264 359 57 number number NN A52264 359 58 of of IN A52264 359 59 parts part NNS A52264 359 60 , , , A52264 359 61 and and CC A52264 359 62 of of IN A52264 359 63 what what WP A52264 359 64 - - HYPH A52264 359 65 parts part NNS A52264 359 66 soever soever VBP A52264 359 67 the the DT A52264 359 68 Radius Radius NNP A52264 359 69 be be VB A52264 359 70 taken take VBN A52264 359 71 , , , A52264 359 72 the the DT A52264 359 73 Sines Sines NNPS A52264 359 74 , , , A52264 359 75 Tangents Tangents NNP A52264 359 76 , , , A52264 359 77 and and CC A52264 359 78 Secants secant NNS A52264 359 79 are be VBP A52264 359 80 for for IN A52264 359 81 the the DT A52264 359 82 most most JJS A52264 359 83 part part NN A52264 359 84 irrational irrational JJ A52264 359 85 ● ● NFP A52264 359 86 ● ● NFP A52264 359 87 i i NN A52264 359 88 ● ● NFP A52264 359 89 , , , A52264 359 90 that that RB A52264 359 91 is is RB A52264 359 92 , , , A52264 359 93 they -PRON- PRP A52264 359 94 are be VBP A52264 359 95 inexplicable inexplicable JJ A52264 359 96 in in IN A52264 359 97 any any DT A52264 359 98 true true JJ A52264 359 99 whole whole JJ A52264 359 100 numbers number NNS A52264 359 101 or or CC A52264 359 102 fractions fraction NNS A52264 359 103 precisely precisely RB A52264 359 104 , , , A52264 359 105 because because IN A52264 359 106 there there EX A52264 359 107 are be VBP A52264 359 108 but but CC A52264 359 109 few few JJ A52264 359 110 proportional proportional JJ A52264 359 111 parts part NNS A52264 359 112 to to IN A52264 359 113 any any DT A52264 359 114 Radius Radius NNP A52264 359 115 , , , A52264 359 116 〈 〈 NNP A52264 359 117 … … NFP A52264 359 118 〉 〉 NNP A52264 359 119 , , , A52264 359 120 whose whose WP$ A52264 359 121 square square JJ A52264 359 122 root root NN A52264 359 123 multiplied multiply VBN A52264 359 124 in in IN A52264 359 125 it -PRON- PRP A52264 359 126 self self NN A52264 359 127 will will MD A52264 359 128 produce produce VB A52264 359 129 the the DT A52264 359 130 number number NN A52264 359 131 from from IN A52264 359 132 whence whence NN A52264 359 133 it -PRON- PRP A52264 359 134 was be VBD A52264 359 135 taken take VBN A52264 359 136 , , , A52264 359 137 without without IN A52264 359 138 some some DT A52264 359 139 fraction fraction NN A52264 359 140 still still RB A52264 359 141 remaining remain VBG A52264 359 142 to to IN A52264 359 143 it -PRON- PRP A52264 359 144 , , , A52264 359 145 and and CC A52264 359 146 therefore therefore RB A52264 359 147 the the DT A52264 359 148 Tables Tables NNPS A52264 359 149 of of IN A52264 359 150 Sines Sines NNPS A52264 359 151 , , , A52264 359 152 Tangents Tangents NNP A52264 359 153 , , , A52264 359 154 and and CC A52264 359 155 Secants Secants NNP A52264 359 156 can can MD A52264 359 157 not not RB A52264 359 158 be be VB A52264 359 159 exactly exactly RB A52264 359 160 made make VBN A52264 359 161 by by IN A52264 359 162 any any DT A52264 359 163 meanes meane NNS A52264 359 164 ; ; : A52264 359 165 and and CC A52264 359 166 yet yet RB A52264 359 167 such such JJ A52264 359 168 may may MD A52264 359 169 and and CC A52264 359 170 ought ought MD A52264 359 171 to to TO A52264 359 172 be be VB A52264 359 173 made make VBN A52264 359 174 , , , A52264 359 175 wherein wherein WRB A52264 359 176 no no DT A52264 359 177 number number NN A52264 359 178 is be VBZ A52264 359 179 different different JJ A52264 359 180 from from IN A52264 359 181 the the DT A52264 359 182 truth truth NN A52264 359 183 by by IN A52264 359 184 an an DT A52264 359 185 integer integer NN A52264 359 186 of of IN A52264 359 187 those those DT A52264 359 188 parts part NNS A52264 359 189 , , , A52264 359 190 whereof whereof NNP A52264 359 191 the the DT A52264 359 192 Radius Radius NNP A52264 359 193 is be VBZ A52264 359 194 taken take VBN A52264 359 195 , , , A52264 359 196 as as IN A52264 359 197 if if IN A52264 359 198 the the DT A52264 359 199 Radius Radius NNP A52264 359 200 be be VB A52264 359 201 taken take VBN A52264 359 202 of of IN A52264 359 203 ten ten CD A52264 359 204 Millions Millions NNPS A52264 359 205 , , , A52264 359 206 no no DT A52264 359 207 number number NN A52264 359 208 of of IN A52264 359 209 these these DT A52264 359 210 Tables table NNS A52264 359 211 ought ought MD A52264 359 212 to to TO A52264 359 213 be be VB A52264 359 214 different different JJ A52264 359 215 from from IN A52264 359 216 the the DT A52264 359 217 truth truth NN A52264 359 218 by by IN A52264 359 219 one one CD A52264 359 220 of of IN A52264 359 221 ten ten CD A52264 359 222 Millions million NNS A52264 359 223 . . . A52264 360 1 That that IN A52264 360 2 you -PRON- PRP A52264 360 3 may may MD A52264 360 4 attain attain VB A52264 360 5 to to IN A52264 360 6 this this DT A52264 360 7 exactnesse exactnesse NNP A52264 360 8 , , , A52264 360 9 either either CC A52264 360 10 you -PRON- PRP A52264 360 11 must must MD A52264 360 12 use use VB A52264 360 13 the the DT A52264 360 14 fractions fraction NNS A52264 360 15 , , , A52264 360 16 or or CC A52264 360 17 else else RB A52264 360 18 take take VB A52264 360 19 the the DT A52264 360 20 Radius Radius NNP A52264 360 21 for for IN A52264 360 22 the the DT A52264 360 23 making making NN A52264 360 24 of of IN A52264 360 25 the the DT A52264 360 26 Tables Tables NNPS A52264 360 27 much much RB A52264 360 28 greater great JJR A52264 360 29 then then RB A52264 360 30 the the DT A52264 360 31 true true JJ A52264 360 32 Radius Radius NNP A52264 360 33 , , , A52264 360 34 but but CC A52264 360 35 to to TO A52264 360 36 work work VB A52264 360 37 with with IN A52264 360 38 whole whole JJ A52264 360 39 numbers number NNS A52264 360 40 and and CC A52264 360 41 fractions fraction NNS A52264 360 42 is be VBZ A52264 360 43 in in IN A52264 360 44 the the DT A52264 360 45 calculation calculation NN A52264 360 46 very very RB A52264 360 47 tedious tedious JJ A52264 360 48 ; ; : A52264 360 49 besides besides IN A52264 360 50 here here RB A52264 360 51 no no DT A52264 360 52 fractions fraction NNS A52264 360 53 almost almost RB A52264 360 54 are be VBP A52264 360 55 exquisitely exquisitely RB A52264 360 56 true true JJ A52264 360 57 : : : A52264 360 58 therefore therefore RB A52264 360 59 the the DT A52264 360 60 Radius Radius NNP A52264 360 61 for for IN A52264 360 62 the the DT A52264 360 63 making making NN A52264 360 64 of of IN A52264 360 65 rhese rhese JJ A52264 360 66 Tables Tables NNP A52264 360 67 is be VBZ A52264 360 68 to to TO A52264 360 69 be be VB A52264 360 70 taken take VBN A52264 360 71 so so RB A52264 360 72 much much RB A52264 360 73 the the DT A52264 360 74 more more JJR A52264 360 75 , , , A52264 360 76 that that IN A52264 360 77 there there EX A52264 360 78 may may MD A52264 360 79 be be VB A52264 360 80 no no DT A52264 360 81 errour errour NN A52264 360 82 , , , A52264 360 83 in in IN A52264 360 84 so so RB A52264 360 85 many many JJ A52264 360 86 of of IN A52264 360 87 the the DT A52264 360 88 figures figure NNS A52264 360 89 towards towards IN A52264 360 90 the the DT A52264 360 91 left left JJ A52264 360 92 hand hand NN A52264 360 93 as as IN A52264 360 94 you -PRON- PRP A52264 360 95 would would MD A52264 360 96 have have VB A52264 360 97 placed place VBN A52264 360 98 in in IN A52264 360 99 the the DT A52264 360 100 Tables Tables NNPS A52264 360 101 ; ; : A52264 360 102 and and CC A52264 360 103 as as IN A52264 360 104 for for IN A52264 360 105 the the DT A52264 360 106 numbers number NNS A52264 360 107 superfluous superfluous JJ A52264 360 108 , , , A52264 360 109 they -PRON- PRP A52264 360 110 are be VBP A52264 360 111 to to TO A52264 360 112 be be VB A52264 360 113 cut cut VBN A52264 360 114 off off RP A52264 360 115 from from IN A52264 360 116 the the DT A52264 360 117 right right JJ A52264 360 118 hand hand NN A52264 360 119 towards towards IN A52264 360 120 the the DT A52264 360 121 left left NN A52264 360 122 after after IN A52264 360 123 the the DT A52264 360 124 ending ending NN A52264 360 125 of of IN A52264 360 126 the the DT A52264 360 127 supputation supputation NN A52264 360 128 , , , A52264 360 129 Thus thus RB A52264 360 130 , , , A52264 360 131 to to TO A52264 360 132 finde finde VB A52264 360 133 the the DT A52264 360 134 numbers number NNS A52264 360 135 answering answer VBG A52264 360 136 to to IN A52264 360 137 each each DT A52264 360 138 degree degree NN A52264 360 139 and and CC A52264 360 140 minute minute NN A52264 360 141 of of IN A52264 360 142 the the DT A52264 360 143 Quadrant Quadrant NNP A52264 360 144 to to IN A52264 360 145 the the DT A52264 360 146 Radius Radius NNP A52264 360 147 of of IN A52264 360 148 10000000 10000000 CD A52264 360 149 or or CC A52264 360 150 ten ten CD A52264 360 151 millions million NNS A52264 360 152 , , , A52264 360 153 I -PRON- PRP A52264 360 154 adde adde VBP A52264 360 155 eight eight CD A52264 360 156 ciphers cipher NNS A52264 360 157 more more RBR A52264 360 158 , , , A52264 360 159 and and CC A52264 360 160 then then RB A52264 360 161 my -PRON- PRP$ A52264 360 162 Radius Radius NNP A52264 360 163 doth doth NN A52264 360 164 consist consist NN A52264 360 165 of of IN A52264 360 166 sixteen sixteen CD A52264 360 167 places place NNS A52264 360 168 . . . A52264 361 1 This this DT A52264 361 2 done do VBN A52264 361 3 , , , A52264 361 4 you -PRON- PRP A52264 361 5 must must MD A52264 361 6 next next IN A52264 361 7 finde finde NN A52264 361 8 out out RP A52264 361 9 the the DT A52264 361 10 right right JJ A52264 361 11 Sines Sines NNPS A52264 361 12 of of IN A52264 361 13 all all PDT A52264 361 14 the the DT A52264 361 15 arches arch NNS A52264 361 16 lesse lesse NNP A52264 361 17 then then RB A52264 361 18 a a DT A52264 361 19 Quadant Quadant NNP A52264 361 20 , , , A52264 361 21 in in IN A52264 361 22 the the DT A52264 361 23 same same JJ A52264 361 24 parts part NNS A52264 361 25 as as IN A52264 361 26 the the DT A52264 361 27 Radius Radius NNP A52264 361 28 is be VBZ A52264 361 29 taken take VBN A52264 361 30 of of IN A52264 361 31 , , , A52264 361 32 whatsoever whatsoever RB A52264 361 33 bignesse bignesse NN A52264 361 34 it -PRON- PRP A52264 361 35 be be VBP A52264 361 36 , , , A52264 361 37 and and CC A52264 361 38 from from IN A52264 361 39 those those DT A52264 361 40 right right JJ A52264 361 41 Sines Sines NNPS A52264 361 42 the the DT A52264 361 43 Tangents Tangents NNPS A52264 361 44 and and CC A52264 361 45 secants secant NNS A52264 361 46 must must MD A52264 361 47 be be VB A52264 361 48 found find VBN A52264 361 49 out out RP A52264 361 50 . . . A52264 362 1 21 21 CD A52264 362 2 . . . A52264 363 1 The the DT A52264 363 2 right right JJ A52264 363 3 Sines Sines NNPS A52264 363 4 in in IN A52264 363 5 making making NN A52264 363 6 of of IN A52264 363 7 the the DT A52264 363 8 Tables table NNS A52264 363 9 are be VBP A52264 363 10 either either CC A52264 363 11 primary primary JJ A52264 363 12 or or CC A52264 363 13 secondary secondary JJ A52264 363 14 . . . A52264 364 1 The the DT A52264 364 2 primarie primarie NN A52264 364 3 Sines Sines NNP A52264 364 4 are be VBP A52264 364 5 those those DT A52264 364 6 , , , A52264 364 7 by by IN A52264 364 8 which which WDT A52264 364 9 the the DT A52264 364 10 rest rest NN A52264 364 11 are be VBP A52264 364 12 found find VBN A52264 364 13 , , , A52264 364 14 And and CC A52264 364 15 thus thus RB A52264 364 16 the the DT A52264 364 17 Radius Radius NNP A52264 364 18 or or CC A52264 364 19 whole whole JJ A52264 364 20 Sine Sine NNP A52264 364 21 is be VBZ A52264 364 22 the the DT A52264 364 23 first first JJ A52264 364 24 primary primary NN A52264 364 25 Sine Sine NNP A52264 364 26 , , , A52264 364 27 the the DT A52264 364 28 which which WDT A52264 364 29 how how WRB A52264 364 30 great great JJ A52264 364 31 or or CC A52264 364 32 little little JJ A52264 364 33 soever soever NN A52264 364 34 is be VBZ A52264 364 35 equall equall JJ A52264 364 36 to to IN A52264 364 37 the the DT A52264 364 38 side side NN A52264 364 39 of of IN A52264 364 40 a a DT A52264 364 41 six six CD A52264 364 42 - - HYPH A52264 364 43 angled angle VBN A52264 364 44 figure figure NN A52264 364 45 inscribed inscribe VBN A52264 364 46 in in IN A52264 364 47 a a DT A52264 364 48 circle circle NN A52264 364 49 , , , A52264 364 50 that that RB A52264 364 51 is is RB A52264 364 52 , , , A52264 364 53 to to IN A52264 364 54 the the DT A52264 364 55 subtense subtense NN A52264 364 56 of of IN A52264 364 57 60 60 CD A52264 364 58 degrees degree NNS A52264 364 59 , , , A52264 364 60 the the DT A52264 364 61 which which WDT A52264 364 62 is be VBZ A52264 364 63 thus thus RB A52264 364 64 demonstrated demonstrate VBN A52264 364 65 . . . A52264 365 1 Out out IN A52264 365 2 of of IN A52264 365 3 the the DT A52264 365 4 Radius Radius NNP A52264 365 5 or or CC A52264 365 6 subtense subtense NN A52264 365 7 of of IN A52264 365 8 60 60 CD A52264 365 9 degrees degree NNS A52264 365 10 the the DT A52264 365 11 sine sine NN A52264 365 12 of of IN A52264 365 13 30 30 CD A52264 365 14 degrees degree NNS A52264 365 15 is be VBZ A52264 365 16 easily easily RB A52264 365 17 found find VBN A52264 365 18 , , , A52264 365 19 the the DT A52264 365 20 halfe halfe NN A52264 365 21 of of IN A52264 365 22 the the DT A52264 365 23 subtense subtense NN A52264 365 24 being be VBG A52264 365 25 the the DT A52264 365 26 measure measure NN A52264 365 27 of of IN A52264 365 28 an an DT A52264 365 29 angle angle NN A52264 365 30 at at IN A52264 365 31 the the DT A52264 365 32 circumference circumference NN A52264 365 33 opposite opposite JJ A52264 365 34 thereunto thereunto NNS A52264 365 35 by by IN A52264 365 36 the the DT A52264 365 37 19 19 CD A52264 365 38 of of IN A52264 365 39 the the DT A52264 365 40 second second JJ A52264 365 41 ; ; : A52264 365 42 if if IN A52264 365 43 therefore therefore RB A52264 365 44 your -PRON- PRP$ A52264 365 45 Radius radius NN A52264 365 46 consists consist VBZ A52264 365 47 of of IN A52264 365 48 16 16 CD A52264 365 49 places place NNS A52264 365 50 being be VBG A52264 365 51 1000.0000.0000.0000 1000.0000.0000.0000 CD A52264 365 52 . . . A52264 366 1 The the DT A52264 366 2 sine sine NN A52264 366 3 of of IN A52264 366 4 30 30 CD A52264 366 5 degrees degree NNS A52264 366 6 will will MD A52264 366 7 be be VB A52264 366 8 the the DT A52264 366 9 one one CD A52264 366 10 half half NN A52264 366 11 thereof thereof RB A52264 366 12 , , , A52264 366 13 to to IN A52264 366 14 wit wit NN A52264 366 15 , , , A52264 366 16 500.0000.0000.0000 500.0000.0000.0000 : A52264 366 17 . . . A52264 367 1 22 22 CD A52264 367 2 . . . A52264 368 1 The the DT A52264 368 2 other other JJ A52264 368 3 primary primary JJ A52264 368 4 sines sine NNS A52264 368 5 are be VBP A52264 368 6 the the DT A52264 368 7 sines sine NNS A52264 368 8 of of IN A52264 368 9 60 60 CD A52264 368 10 , , , A52264 368 11 45 45 CD A52264 368 12 , , , A52264 368 13 36 36 CD A52264 368 14 , , , A52264 368 15 and and CC A52264 368 16 of of IN A52264 368 17 18 18 CD A52264 368 18 degrees degree NNS A52264 368 19 , , , A52264 368 20 being be VBG A52264 368 21 the the DT A52264 368 22 halfe halfe NN A52264 368 23 of of IN A52264 368 24 the the DT A52264 368 25 subtenses subtense NNS A52264 368 26 of of IN A52264 368 27 120 120 CD A52264 368 28 , , , A52264 368 29 90 90 CD A52264 368 30 , , , A52264 368 31 72 72 CD A52264 368 32 , , , A52264 368 33 and and CC A52264 368 34 of of IN A52264 368 35 36 36 CD A52264 368 36 degrees degree NNS A52264 368 37 . . . A52264 369 1 23 23 CD A52264 369 2 . . . A52264 370 1 The the DT A52264 370 2 subtense subtense NN A52264 370 3 of of IN A52264 370 4 120 120 CD A52264 370 5 degrees degree NNS A52264 370 6 is be VBZ A52264 370 7 the the DT A52264 370 8 side side NN A52264 370 9 of of IN A52264 370 10 an an DT A52264 370 11 equilateral equilateral JJ A52264 370 12 triangle triangle NN A52264 370 13 inscribed inscribe VBN A52264 370 14 in in IN A52264 370 15 a a DT A52264 370 16 circle circle NN A52264 370 17 , , , A52264 370 18 and and CC A52264 370 19 may may MD A52264 370 20 thus thus RB A52264 370 21 be be VB A52264 370 22 found find VBN A52264 370 23 . . . A52264 371 1 The the DT A52264 371 2 Rule Rule NNP A52264 371 3 . . . A52264 372 1 Substract substract VB A52264 372 2 the the DT A52264 372 3 Square Square NNP A52264 372 4 of of IN A52264 372 5 the the DT A52264 372 6 subtense subtense NN A52264 372 7 of of IN A52264 372 8 60 60 CD A52264 372 9 degrees degree NNS A52264 372 10 , , , A52264 372 11 from from IN A52264 372 12 the the DT A52264 372 13 Square Square NNP A52264 372 14 of of IN A52264 372 15 the the DT A52264 372 16 diameter diameter NN A52264 372 17 , , , A52264 372 18 the the DT A52264 372 19 Square Square NNP A52264 372 20 root root NN A52264 372 21 of of IN A52264 372 22 what what WP A52264 372 23 remaineth remaineth NNP A52264 372 24 is be VBZ A52264 372 25 the the DT A52264 372 26 side side NN A52264 372 27 of of IN A52264 372 28 an an DT A52264 372 29 equilateral equilateral JJ A52264 372 30 triangle triangle NN A52264 372 31 inscribed inscribe VBN A52264 372 32 in in IN A52264 372 33 a a DT A52264 372 34 circle circle NN A52264 372 35 ● ● NFP A52264 372 36 or or CC A52264 372 37 the the DT A52264 372 38 subtense subtense NN A52264 372 39 of of IN A52264 372 40 120 120 CD A52264 372 41 degrees degree NNS A52264 372 42 . . . A52264 373 1 The the DT A52264 373 2 reason reason NN A52264 373 3 of of IN A52264 373 4 the the DT A52264 373 5 Rule Rule NNP A52264 373 6 . . . A52264 374 1 The the DT A52264 374 2 subtense subtense NN A52264 374 3 of of IN A52264 374 4 an an DT A52264 374 5 arch arch NN A52264 374 6 with with IN A52264 374 7 the the DT A52264 374 8 subtense subtense NN A52264 374 9 of of IN A52264 374 10 the the DT A52264 374 11 complement complement NN A52264 374 12 thereof thereof RB A52264 374 13 to to IN A52264 374 14 180 180 CD A52264 374 15 with with IN A52264 374 16 the the DT A52264 374 17 diameter diameter NN A52264 374 18 , , , A52264 374 19 make make VB A52264 374 20 in in IN A52264 374 21 the the DT A52264 374 22 meeting meeting NN A52264 374 23 of of IN A52264 374 24 the the DT A52264 374 25 two two CD A52264 374 26 subtenses subtense NNS A52264 374 27 a a DT A52264 374 28 right right NN A52264 374 29 angled angle VBN A52264 374 30 triangle triangle NN A52264 374 31 . . . A52264 375 1 As as IN A52264 375 2 the the DT A52264 375 3 subtense subtense NN A52264 375 4 AB AB NNP A52264 375 5 60 60 CD A52264 375 6 degrees degree NNS A52264 375 7 , , , A52264 375 8 with with IN A52264 375 9 the the DT A52264 375 10 subtense subtense NN A52264 375 11 AC AC NNP A52264 375 12 120 120 CD A52264 375 13 degrees degree NNS A52264 375 14 , , , A52264 375 15 and and CC A52264 375 16 the the DT A52264 375 17 diameter diameter NN A52264 375 18 CB CB NNP A52264 375 19 , , , A52264 375 20 make make VB A52264 375 21 the the DT A52264 375 22 right right NN A52264 375 23 angled angle VBN A52264 375 24 triangle triangle NN A52264 375 25 ABC ABC NNP A52264 375 26 , , , A52264 375 27 right right RB A52264 375 28 angled angle VBD A52264 375 29 at at IN A52264 375 30 A A NNP A52264 375 31 , , , A52264 375 32 by by IN A52264 375 33 the the DT A52264 375 34 19 19 CD A52264 375 35 of of IN A52264 375 36 the the DT A52264 375 37 second second JJ A52264 375 38 . . . A52264 376 1 And and CC A52264 376 2 therfore therfore VB A52264 376 3 the the DT A52264 376 4 sides side NNS A52264 376 5 including include VBG A52264 376 6 the the DT A52264 376 7 right right JJ A52264 376 8 angle angle NN A52264 376 9 are be VBP A52264 376 10 equal equal JJ A52264 376 11 in in IN A52264 376 12 power power NN A52264 376 13 to to IN A52264 376 14 the the DT A52264 376 15 third third JJ A52264 376 16 side side NN A52264 376 17 , , , A52264 376 18 by by IN A52264 376 19 the the DT A52264 376 20 〈 〈 NNP A52264 376 21 ◊ ◊ NNP A52264 376 22 〉 〉 NNP A52264 376 23 of of IN A52264 376 24 the the DT A52264 376 25 second second JJ A52264 376 26 . . . A52264 377 1 Therefore therefore RB A52264 377 2 the the DT A52264 377 3 square square NN A52264 377 4 of of IN A52264 377 5 AB AB NNP A52264 377 6 being be VBG A52264 377 7 taken take VBN A52264 377 8 from from IN A52264 377 9 the the DT A52264 377 10 square square NN A52264 377 11 of of IN A52264 377 12 CB CB NNP A52264 377 13 , , , A52264 377 14 there there RB A52264 377 15 remaineth remaineth VBD A52264 377 16 the the DT A52264 377 17 square square NN A52264 377 18 of of IN A52264 377 19 AC AC NNP A52264 377 20 , , , A52264 377 21 whose whose WP$ A52264 377 22 squar squar JJ A52264 377 23 root root NN A52264 377 24 is be VBZ A52264 377 25 the the DT A52264 377 26 subtense subtense NN A52264 377 27 of of IN A52264 377 28 〈 〈 NNP A52264 377 29 ◊ ◊ NNP A52264 377 30 〉 〉 NNP A52264 377 31 degrees degree NNS A52264 377 32 or or CC A52264 377 33 the the DT A52264 377 34 side side NN A52264 377 35 of of IN A52264 377 36 an an DT A52264 377 37 equilateral equilateral JJ A52264 377 38 triangle triangle NN A52264 377 39 inscribed inscribe VBN A52264 377 40 in in IN A52264 377 41 a a DT A52264 377 42 circle circle NN A52264 377 43 , , , A52264 377 44 Example example NN A52264 377 45 . . . A52264 378 1 Let let VB A52264 378 2 the the DT A52264 378 3 diameter diameter NN A52264 378 4 CB cb NN A52264 378 5 be be VB A52264 378 6 2000.0000 2000.0000 CD A52264 378 7 . . . A52264 379 1 0000.0000 0000.0000 CD A52264 379 2 . . . A52264 380 1 the the DT A52264 380 2 square square NN A52264 380 3 thereof thereof RB A52264 380 4 is be VBZ A52264 380 5 400000 400000 CD A52264 380 6 . . . A52264 381 1 00000.00000.00000.00000.00000 00000.00000.00000.00000.00000 NFP A52264 381 2 . . . A52264 382 1 The the DT A52264 382 2 subtense subtense NN A52264 382 3 of of IN A52264 382 4 AB AB NNP A52264 382 5 is be VBZ A52264 382 6 100000.00000.00000 100000.00000.00000 CD A52264 382 7 . . . A52264 383 1 The the DT A52264 383 2 square square NN A52264 383 3 thereof thereof RB A52264 383 4 is be VBZ A52264 383 5 100000.00000.00000 100000.00000.00000 CD A52264 383 6 . . . A52264 384 1 00000.00000.00000 00000.00000.00000 NNP A52264 384 2 , , , A52264 384 3 which which WDT A52264 384 4 being be VBG A52264 384 5 substracted substracte VBN A52264 384 6 from from IN A52264 384 7 the the DT A52264 384 8 square square NN A52264 384 9 of of IN A52264 384 10 CB CB NNP A52264 384 11 , , , A52264 384 12 the the DT A52264 384 13 remainder remainder NN A52264 384 14 is be VBZ A52264 384 15 300000.00000.00000.00000.00000.00000 300000.00000.00000.00000.00000.00000 CD A52264 384 16 , , , A52264 384 17 whose whose WP$ A52264 384 18 square square NN A52264 384 19 root root NN A52264 384 20 173205.08075.68877 173205.08075.68877 CD A52264 384 21 . . . A52264 385 1 the the DT A52264 385 2 subtense subtense NN A52264 385 3 of of IN A52264 385 4 120 120 CD A52264 385 5 degrees degree NNS A52264 385 6 . . . A52264 386 1 CONSECTARY CONSECTARY NNP A52264 386 2 . . . A52264 387 1 Hence hence RB A52264 387 2 it -PRON- PRP A52264 387 3 followeth followeth VBD A52264 387 4 , , , A52264 387 5 that that IN A52264 387 6 the the DT A52264 387 7 subtense subtense NN A52264 387 8 of of IN A52264 387 9 an an DT A52264 387 10 arch arch JJ A52264 387 11 lesse lesse NN A52264 387 12 then then RB A52264 387 13 a a DT A52264 387 14 Semicircle Semicircle NNP A52264 387 15 being be VBG A52264 387 16 given give VBN A52264 387 17 , , , A52264 387 18 the the DT A52264 387 19 subtense subtense NN A52264 387 20 of of IN A52264 387 21 the the DT A52264 387 22 complement complement NN A52264 387 23 of of IN A52264 387 24 that that DT A52264 387 25 arch arch NN A52264 387 26 to to IN A52264 387 27 a a DT A52264 387 28 Semicirc Semicirc NNP A52264 387 29 ● ● NNP A52264 387 30 e e NNP A52264 387 31 is be VBZ A52264 387 32 also also RB A52264 387 33 given give VBN A52264 387 34 . . . A52264 388 1 24 24 CD A52264 388 2 . . . A52264 389 1 The the DT A52264 389 2 Subtense Subtense NNP A52264 389 3 of of IN A52264 389 4 90 90 CD A52264 389 5 degrees degree NNS A52264 389 6 is be VBZ A52264 389 7 the the DT A52264 389 8 side side NN A52264 389 9 of of IN A52264 389 10 a a DT A52264 389 11 square square NN A52264 389 12 inscribed inscribe VBN A52264 389 13 in in IN A52264 389 14 a a DT A52264 389 15 circle circle NN A52264 389 16 , , , A52264 389 17 and and CC A52264 389 18 may may MD A52264 389 19 thus thus RB A52264 389 20 be be VB A52264 389 21 found find VBN A52264 389 22 . . . A52264 390 1 The the DT A52264 390 2 Rule Rule NNP A52264 390 3 . . . A52264 391 1 Multiply multiply VB A52264 391 2 the the DT A52264 391 3 diameter diameter NN A52264 391 4 in in IN A52264 391 5 it -PRON- PRP A52264 391 6 self self NN A52264 391 7 , , , A52264 391 8 and and CC A52264 391 9 the the DT A52264 391 10 square square JJ A52264 391 11 root root NN A52264 391 12 of of IN A52264 391 13 half half PDT A52264 391 14 the the DT A52264 391 15 product product NN A52264 391 16 is be VBZ A52264 391 17 the the DT A52264 391 18 subtense subtense NN A52264 391 19 of of IN A52264 391 20 90 90 CD A52264 391 21 degrees degree NNS A52264 391 22 , , , A52264 391 23 or or CC A52264 391 24 the the DT A52264 391 25 side side NN A52264 391 26 of of IN A52264 391 27 a a DT A52264 391 28 square square NN A52264 391 29 inscribed inscribe VBN A52264 391 30 in in IN A52264 391 31 a a DT A52264 391 32 circle circle NN A52264 391 33 . . . A52264 392 1 The the DT A52264 392 2 reason reason NN A52264 392 3 of of IN A52264 392 4 this this DT A52264 392 5 Rule Rule NNP A52264 392 6 . . . A52264 393 1 The the DT A52264 393 2 diagonal diagonal JJ A52264 393 3 lines line NNS A52264 393 4 of of IN A52264 393 5 a a DT A52264 393 6 square square NN A52264 393 7 inscribed inscribe VBN A52264 393 8 in in IN A52264 393 9 a a DT A52264 393 10 circle circle NN A52264 393 11 are be VBP A52264 393 12 two two CD A52264 393 13 diameters diameter NNS A52264 393 14 , , , A52264 393 15 and and CC A52264 393 16 the the DT A52264 393 17 right right RB A52264 393 18 angled angle VBN A52264 393 19 figure figure NN A52264 393 20 made make VBN A52264 393 21 of of IN A52264 393 22 the the DT A52264 393 23 diagonals diagonal NNS A52264 393 24 is be VBZ A52264 393 25 equal equal JJ A52264 393 26 to to IN A52264 393 27 the the DT A52264 393 28 right right NN A52264 393 29 angled angle VBN A52264 393 30 figures figure NNS A52264 393 31 made make VBN A52264 393 32 of of IN A52264 393 33 the the DT A52264 393 34 opposite opposite JJ A52264 393 35 sides side NNS A52264 393 36 , , , A52264 393 37 by by IN A52264 393 38 the the DT A52264 393 39 20 20 CD A52264 393 40 th th NN A52264 393 41 . . . A52264 394 1 of of IN A52264 394 2 the the DT A52264 394 3 second second JJ A52264 394 4 , , , A52264 394 5 now now RB A52264 394 6 because because IN A52264 394 7 the the DT A52264 394 8 diagonal diagonal JJ A52264 394 9 lines line NNS A52264 394 10 AB AB NNP A52264 394 11 and and CC A52264 394 12 CD cd NN A52264 394 13 are be VBP A52264 394 14 equal equal JJ A52264 394 15 , , , A52264 394 16 it -PRON- PRP A52264 394 17 is be VBZ A52264 394 18 all all DT A52264 394 19 one one CD A52264 394 20 , , , A52264 394 21 whether whether IN A52264 394 22 I -PRON- PRP A52264 394 23 multiply multiply VBP A52264 394 24 AC AC NNP A52264 394 25 by by IN A52264 394 26 it -PRON- PRP A52264 394 27 self self NN A52264 394 28 , , , A52264 394 29 or or CC A52264 394 30 by by IN A52264 394 31 the the DT A52264 394 32 other other JJ A52264 394 33 diagonal diagonal JJ A52264 394 34 CD cd NN A52264 394 35 , , , A52264 394 36 the the DT A52264 394 37 p p NN A52264 394 38 ● ● NNP A52264 394 39 oduct oduct NN A52264 394 40 will will MD A52264 394 41 be be VB A52264 394 42 still still RB A52264 394 43 the the DT A52264 394 44 same same JJ A52264 394 45 , , , A52264 394 46 then then RB A52264 394 47 because because IN A52264 394 48 the the DT A52264 394 49 sides side NNS A52264 394 50 AB AB NNP A52264 394 51 , , , A52264 394 52 AC AC NNP A52264 394 53 , , , A52264 394 54 and and CC A52264 394 55 BC BC NNP A52264 394 56 do do VBP A52264 394 57 make make VB A52264 394 58 a a DT A52264 394 59 right right RB A52264 394 60 angled angle VBN A52264 394 61 triangle triangle NN A52264 394 62 , , , A52264 394 63 right right RB A52264 394 64 angled angle VBD A52264 394 65 at at IN A52264 394 66 C C NNP A52264 394 67 , , , A52264 394 68 by by IN A52264 394 69 the the DT A52264 394 70 〈 〈 NNP A52264 394 71 ◊ ◊ NNP A52264 394 72 〉 〉 NNP A52264 394 73 of of IN A52264 394 74 the the DT A52264 394 75 second second JJ A52264 394 76 , , , A52264 394 77 & & CC A52264 394 78 that that IN A52264 394 79 the the DT A52264 394 80 〈 〈 NNP A52264 394 81 ◊ ◊ NNP A52264 394 82 〉 〉 NNP A52264 394 83 AC AC NNP A52264 394 84 and and CC A52264 394 85 ● ● NFP A52264 394 86 B b NN A52264 394 87 are be VBP A52264 394 88 equal equal JJ A52264 394 89 by by IN A52264 394 90 the the DT A52264 394 91 work work NN A52264 394 92 , , , A52264 394 93 the the DT A52264 394 94 half half NN A52264 394 95 of of IN A52264 394 96 the the DT A52264 394 97 square square NN A52264 394 98 of of IN A52264 394 99 AB AB NNP A52264 394 100 must must MD A52264 394 101 needs needs VB A52264 394 102 be be VB A52264 394 103 the the DT A52264 394 104 square square NN A52264 394 105 of of IN A52264 394 106 AC AC NNP A52264 394 107 or or CC A52264 394 108 CB CB NNP A52264 394 109 , , , A52264 394 110 by by IN A52264 394 111 the the DT A52264 394 112 17 17 CD A52264 394 113 th th NN A52264 394 114 . . . A52264 395 1 of of IN A52264 395 2 the the DT A52264 395 3 second second JJ A52264 395 4 , , , A52264 395 5 whose whose WP$ A52264 395 6 square square NN A52264 395 7 rootes root VBZ A52264 395 8 the the DT A52264 395 9 subtense subtense NN A52264 395 10 of of IN A52264 395 11 CB CB NNP A52264 395 12 , , , A52264 395 13 the the DT A52264 395 14 side side NN A52264 395 15 of of IN A52264 395 16 a a DT A52264 395 17 square square JJ A52264 395 18 or or CC A52264 395 19 90 90 CD A52264 395 20 degree degree NN A52264 395 21 . . . A52264 396 1 Example example NN A52264 396 2 . . . A52264 397 1 Let let VB A52264 397 2 the the DT A52264 397 3 diameter diameter NN A52264 397 4 AB ab NN A52264 397 5 be be VB A52264 397 6 200000.00000 200000.00000 CD A52264 397 7 . . . A52264 398 1 00000 00000 CD A52264 398 2 , , , A52264 398 3 the the DT A52264 398 4 square square NN A52264 398 5 thereof thereof RB A52264 398 6 is be VBZ A52264 398 7 400000.00000 400000.00000 CD A52264 398 8 . . . A52264 399 1 00000.00000.00000.00000 00000.00000.00000.00000 NNP A52264 399 2 , , , A52264 399 3 the the DT A52264 399 4 half half NN A52264 399 5 whereof whereof NNP A52264 399 6 is be VBZ A52264 399 7 200000.00000.00000.00000.00000 200000.00000.00000.00000.00000 CD A52264 399 8 . . . A52264 400 1 00000 00000 NFP A52264 400 2 . . . A52264 400 3 whose whose WP$ A52264 400 4 square square JJ A52264 400 5 root root NN A52264 400 6 14142 14142 CD A52264 400 7 ● ● NFP A52264 400 8 . . . A52264 401 1 356 356 CD A52264 401 2 ● ● CD A52264 401 3 3 3 CD A52264 401 4 . . . A52264 402 1 73095 73095 CD A52264 402 2 . . . A52264 402 3 is be VBZ A52264 402 4 the the DT A52264 402 5 subtense subtense NN A52264 402 6 of of IN A52264 402 7 90 90 CD A52264 402 8 degrees degree NNS A52264 402 9 , , , A52264 402 10 or or CC A52264 402 11 the the DT A52264 402 12 side side NN A52264 402 13 of of IN A52264 402 14 a a DT A52264 402 15 square square NN A52264 402 16 inscribed inscribe VBN A52264 402 17 in in IN A52264 402 18 a a DT A52264 402 19 Circle Circle NNP A52264 402 20 . . . A52264 403 1 25 25 CD A52264 403 2 . . . A52264 404 1 The the DT A52264 404 2 subtense subtense NN A52264 404 3 of of IN A52264 404 4 36 36 CD A52264 404 5 degrees degree NNS A52264 404 6 is be VBZ A52264 404 7 the the DT A52264 404 8 side side NN A52264 404 9 of of IN A52264 404 10 a a DT A52264 404 11 decangle decangle NN A52264 404 12 , , , A52264 404 13 and and CC A52264 404 14 may may MD A52264 404 15 thus thus RB A52264 404 16 be be VB A52264 404 17 found find VBN A52264 404 18 . . . A52264 405 1 The the DT A52264 405 2 Rule Rule NNP A52264 405 3 . . . A52264 406 1 Divide divide VB A52264 406 2 the the DT A52264 406 3 Radius Radius NNP A52264 406 4 by by IN A52264 406 5 two two CD A52264 406 6 , , , A52264 406 7 then then RB A52264 406 8 multiply multiply VB A52264 406 9 the the DT A52264 406 10 Radius Radius NNP A52264 406 11 by by IN A52264 406 12 it -PRON- PRP A52264 406 13 self self NN A52264 406 14 , , , A52264 406 15 and and CC A52264 406 16 the the DT A52264 406 17 half half NN A52264 406 18 thereof thereof RB A52264 406 19 by by IN A52264 406 20 it -PRON- PRP A52264 406 21 self self NN A52264 406 22 , , , A52264 406 23 and and CC A52264 406 24 from from IN A52264 406 25 the the DT A52264 406 26 square square JJ A52264 406 27 root root NN A52264 406 28 of of IN A52264 406 29 the the DT A52264 406 30 summe summe NN A52264 406 31 of of IN A52264 406 32 these these DT A52264 406 33 two two CD A52264 406 34 products product NNS A52264 406 35 substract substract VBP A52264 406 36 the the DT A52264 406 37 half half NN A52264 406 38 of of IN A52264 406 39 Radius Radius NNP A52264 406 40 , , , A52264 406 41 what what WP A52264 406 42 remaineth remaineth NNP A52264 406 43 is be VBZ A52264 406 44 the the DT A52264 406 45 side side NN A52264 406 46 of of IN A52264 406 47 a a DT A52264 406 48 decangle decangle NN A52264 406 49 , , , A52264 406 50 or or CC A52264 406 51 the the DT A52264 406 52 subtense subtense NN A52264 406 53 of of IN A52264 406 54 36 36 CD A52264 406 55 degrees degree NNS A52264 406 56 . . . A52264 407 1 The the DT A52264 407 2 reason reason NN A52264 407 3 of of IN A52264 407 4 the the DT A52264 407 5 rule rule NN A52264 407 6 . . . A52264 408 1 For for IN A52264 408 2 example example NN A52264 408 3 . . . A52264 409 1 Let let VB A52264 409 2 the the DT A52264 409 3 Radius Radius NNP A52264 409 4 EB EB NNP A52264 409 5 be be VB A52264 409 6 100000.00000.00000 100000.00000.00000 CD A52264 409 7 . . . A52264 410 1 then then RB A52264 410 2 is be VBZ A52264 410 3 BH BH NNP A52264 410 4 , , , A52264 410 5 or or CC A52264 410 6 the the DT A52264 410 7 half half NN A52264 410 8 thereof thereof IN A52264 410 9 500000 500000 CD A52264 410 10 . . . A52264 411 1 00000.00000 00000.00000 LS A52264 411 2 . . . A52264 412 1 the the DT A52264 412 2 square square NN A52264 412 3 of of IN A52264 412 4 EB EB NNP A52264 412 5 is be VBZ A52264 412 6 100000 100000 CD A52264 412 7 00000.00000.00000.00000.00000 00000.00000.00000.00000.00000 CD A52264 412 8 . . . A52264 413 1 and and CC A52264 413 2 the the DT A52264 413 3 square square NN A52264 413 4 of of IN A52264 413 5 BH BH NNP A52264 413 6 250000.00000.00000.00000 250000.00000.00000.00000 NNP A52264 413 7 . . . A52264 414 1 00000.00000.00000 00000.00000.00000 NNS A52264 414 2 . . . A52264 415 1 The the DT A52264 415 2 summe summe NN A52264 415 3 of of IN A52264 415 4 these these DT A52264 415 5 two two CD A52264 415 6 squares square NNS A52264 415 7 , , , A52264 415 8 viz viz VB A52264 415 9 125000.00000.00000 125000.00000.00000 CD A52264 415 10 . . . A52264 416 1 00000 00000 CD A52264 416 2 , , , A52264 416 3 00000 00000 CD A52264 416 4 . . . A52264 417 1 00000 00000 CD A52264 417 2 , , , A52264 417 3 is be VBZ A52264 417 4 the the DT A52264 417 5 square square NN A52264 417 6 of of IN A52264 417 7 HE HE NNP A52264 417 8 or or CC A52264 417 9 HK HK NNP A52264 417 10 , , , A52264 417 11 whose whose WP$ A52264 417 12 square square JJ A52264 417 13 root root NN A52264 417 14 is be VBZ A52264 417 15 1118033 1118033 CD A52264 417 16 ● ● SYM A52264 417 17 887 887 CD A52264 417 18 ● ● CD A52264 417 19 9895 9895 CD A52264 417 20 , , , A52264 417 21 from from IN A52264 417 22 which which WDT A52264 417 23 deduct deduct VBP A52264 417 24 the the DT A52264 417 25 halfe halfe NN A52264 417 26 Radius Radius NNP A52264 417 27 BH BH NNP A52264 417 28 500000000000000 500000000000000 CD A52264 417 29 , , , A52264 417 30 and and CC A52264 417 31 there there EX A52264 417 32 remaineth remaineth NNP A52264 417 33 618033988749895 618033988749895 CD A52264 417 34 , , , A52264 417 35 the the DT A52264 417 36 right right JJ A52264 417 37 line line NN A52264 417 38 KB KB NNP A52264 417 39 , , , A52264 417 40 which which WDT A52264 417 41 is be VBZ A52264 417 42 the the DT A52264 417 43 side side NN A52264 417 44 of of IN A52264 417 45 a a DT A52264 417 46 decangle decangle NN A52264 417 47 , , , A52264 417 48 or or CC A52264 417 49 the the DT A52264 417 50 subtense subtense NN A52264 417 51 of of IN A52264 417 52 36 36 CD A52264 417 53 degrees degree NNS A52264 417 54 . . . A52264 418 1 26 26 CD A52264 418 2 The the DT A52264 418 3 subtense subtense NN A52264 418 4 of of IN A52264 418 5 72 72 CD A52264 418 6 degrees degree NNS A52264 418 7 is be VBZ A52264 418 8 the the DT A52264 418 9 side side NN A52264 418 10 of of IN A52264 418 11 a a DT A52264 418 12 Pentagon Pentagon NNP A52264 418 13 inscribed inscribe VBN A52264 418 14 in in IN A52264 418 15 a a DT A52264 418 16 circle circle NN A52264 418 17 , , , A52264 418 18 and and CC A52264 418 19 may may MD A52264 418 20 thus thus RB A52264 418 21 be be VB A52264 418 22 sound sound JJ A52264 418 23 . . . A52264 419 1 The the DT A52264 419 2 Rule Rule NNP A52264 419 3 . . . A52264 420 1 Substract substract VB A52264 420 2 the the DT A52264 420 3 side side NN A52264 420 4 of of IN A52264 420 5 a a DT A52264 420 6 decangle decangle NN A52264 420 7 from from IN A52264 420 8 the the DT A52264 420 9 diameter diameter NN A52264 420 10 , , , A52264 420 11 the the DT A52264 420 12 remainer remainer NN A52264 420 13 multiplied multiply VBN A52264 420 14 by by IN A52264 420 15 the the DT A52264 420 16 Radius Radius NNP A52264 420 17 , , , A52264 420 18 shall shall MD A52264 420 19 be be VB A52264 420 20 the the DT A52264 420 21 square square NN A52264 420 22 of of IN A52264 420 23 one one CD A52264 420 24 side side NN A52264 420 25 of of IN A52264 420 26 a a DT A52264 420 27 Pentagon Pentagon NNP A52264 420 28 , , , A52264 420 29 whose whose WP$ A52264 420 30 square square JJ A52264 420 31 root root NN A52264 420 32 shall shall MD A52264 420 33 be be VB A52264 420 34 the the DT A52264 420 35 side side NN A52264 420 36 it -PRON- PRP A52264 420 37 self self NN A52264 420 38 , , , A52264 420 39 or or CC A52264 420 40 subtense subtense NN A52264 420 41 of of IN A52264 420 42 72 72 CD A52264 420 43 degrees degree NNS A52264 420 44 . . . A52264 421 1 The the DT A52264 421 2 Reason reason NN A52264 421 3 of of IN A52264 421 4 the the DT A52264 421 5 Rule Rule NNP A52264 421 6 . . . A52264 422 1 In in IN A52264 422 2 the the DT A52264 422 3 following follow VBG A52264 422 4 Diagram Diagram NNP A52264 422 5 let let VBD A52264 422 6 AC AC NNP A52264 422 7 be be VB A52264 422 8 the the DT A52264 422 9 side side NN A52264 422 10 of of IN A52264 422 11 a a DT A52264 422 12 decangle decangle NN A52264 422 13 , , , A52264 422 14 equal equal JJ A52264 422 15 to to IN A52264 422 16 CX cx NN A52264 422 17 in in IN A52264 422 18 the the DT A52264 422 19 diameter diameter NN A52264 422 20 , , , A52264 422 21 and and CC A52264 422 22 let let VB A52264 422 23 the the DT A52264 422 24 rest rest NN A52264 422 25 of of IN A52264 422 26 the the DT A52264 422 27 semicircle semicircle NN A52264 422 28 be be VB A52264 422 29 bisected bisect VBN A52264 422 30 in in IN A52264 422 31 the the DT A52264 422 32 point point NN A52264 422 33 E e NN A52264 422 34 , , , A52264 422 35 then then RB A52264 422 36 shall shall MD A52264 422 37 either either DT A52264 422 38 of of IN A52264 422 39 the the DT A52264 422 40 right right JJ A52264 422 41 lines line NNS A52264 422 42 AE ae RB A52264 422 43 or or CC A52264 422 44 EB EB NNP A52264 422 45 represent represent VB A52264 422 46 the the DT A52264 422 47 side side NN A52264 422 48 of of IN A52264 422 49 an an DT A52264 422 50 equilateral equilateral JJ A52264 422 51 pentagon pentagon NNP A52264 422 52 , , , A52264 422 53 for for IN A52264 422 54 AC AC NNP A52264 422 55 the the DT A52264 422 56 side side NN A52264 422 57 of of IN A52264 422 58 a a DT A52264 422 59 decangle decangle NN A52264 422 60 subtends subtend VBZ A52264 422 61 an an DT A52264 422 62 arch arch NN A52264 422 63 of of IN A52264 422 64 36 36 CD A52264 422 65 degrees degree NNS A52264 422 66 the the DT A52264 422 67 tenth tenth JJ A52264 422 68 part part NN A52264 422 69 of of IN A52264 422 70 a a DT A52264 422 71 circle circle NN A52264 422 72 , , , A52264 422 73 and and CC A52264 422 74 therefore therefore RB A52264 422 75 AEB AEB NNP A52264 422 76 the the DT A52264 422 77 remaining remain VBG A52264 422 78 arch arch NN A52264 422 79 of of IN A52264 422 80 a a DT A52264 422 81 semicircle semicircle NN A52264 422 82 is be VBZ A52264 422 83 144 144 CD A52264 422 84 degrees degree NNS A52264 422 85 , , , A52264 422 86 the the DT A52264 422 87 half half NN A52264 422 88 whereof whereof NNP A52264 422 89 AE AE NNP A52264 422 90 or or CC A52264 422 91 EB EB NNP A52264 422 92 is be VBZ A52264 422 93 72 72 CD A52264 422 94 degrees degree NNS A52264 422 95 , , , A52264 422 96 the the DT A52264 422 97 fift fift JJ A52264 422 98 part part NN A52264 422 99 of of IN A52264 422 100 a a DT A52264 422 101 circle circle NN A52264 422 102 , , , A52264 422 103 or or CC A52264 422 104 side side NN A52264 422 105 of of IN A52264 422 106 an an DT A52264 422 107 equilateral equilateral JJ A52264 422 108 pentagon pentagon NNP A52264 422 109 , , , A52264 422 110 the the DT A52264 422 111 square square NN A52264 422 112 whereof whereof NN A52264 422 113 is be VBZ A52264 422 114 equal equal JJ A52264 422 115 to to IN A52264 422 116 the the DT A52264 422 117 oblong oblong JJ A52264 422 118 made make VBN A52264 422 119 of of IN A52264 422 120 DB DB NNP A52264 422 121 and and CC A52264 422 122 BX BX NNP A52264 422 123 . . . A52264 423 1 Demonstration demonstration NN A52264 423 2 . . . A52264 424 1 Draw draw VB A52264 424 2 the the DT A52264 424 3 right right JJ A52264 424 4 lines line NNS A52264 424 5 EX EX NNP A52264 424 6 , , , A52264 424 7 ED ED NNP A52264 424 8 , , , A52264 424 9 and and CC A52264 424 10 EC EC NNP A52264 424 11 , , , A52264 424 12 then then RB A52264 424 13 will will MD A52264 424 14 the the DT A52264 424 15 sides side NNS A52264 424 16 of of IN A52264 424 17 the the DT A52264 424 18 angles angle NNS A52264 424 19 ACE ACE NNP A52264 424 20 and and CC A52264 424 21 ECX ECX NNP A52264 424 22 be be VB A52264 424 23 equal equal JJ A52264 424 24 , , , A52264 424 25 because because IN A52264 424 26 CX CX NNP A52264 424 27 is be VBZ A52264 424 28 made make VBN A52264 424 29 equal equal JJ A52264 424 30 to to IN A52264 424 31 AC AC NNP A52264 424 32 , , , A52264 424 33 and and CC A52264 424 34 EC EC NNP A52264 424 35 common common JJ A52264 424 36 to to IN A52264 424 37 both both DT A52264 424 38 ; ; : A52264 424 39 and and CC A52264 424 40 the the DT A52264 424 41 angles angle NNS A52264 424 42 themselves -PRON- PRP A52264 424 43 are be VBP A52264 424 44 equal equal JJ A52264 424 45 , , , A52264 424 46 because because IN A52264 424 47 they -PRON- PRP A52264 424 48 are be VBP A52264 424 49 in in IN A52264 424 50 equal equal JJ A52264 424 51 segments segment NNS A52264 424 52 of of IN A52264 424 53 the the DT A52264 424 54 same same JJ A52264 424 55 circle circle NN A52264 424 56 by by IN A52264 424 57 the the DT A52264 424 58 19 19 CD A52264 424 59 of of IN A52264 424 60 the the DT A52264 424 61 second second JJ A52264 424 62 ; ; : A52264 424 63 and and CC A52264 424 64 their -PRON- PRP$ A52264 424 65 bases basis NNS A52264 424 66 AE AE NNP A52264 424 67 and and CC A52264 424 68 EX EX NNP A52264 424 69 are be VBP A52264 424 70 equal equal JJ A52264 424 71 by by IN A52264 424 72 the the DT A52264 424 73 23 23 CD A52264 424 74 of of IN A52264 424 75 the the DT A52264 424 76 second second JJ A52264 424 77 ; ; : A52264 424 78 and and CC A52264 424 79 because because IN A52264 424 80 EX EX NNP A52264 424 81 is be VBZ A52264 424 82 equal equal JJ A52264 424 83 to to IN A52264 424 84 AE AE NNP A52264 424 85 , , , A52264 424 86 it -PRON- PRP A52264 424 87 is be VBZ A52264 424 88 also also RB A52264 424 89 equal equal JJ A52264 424 90 to to IN A52264 424 91 EB EB NNP A52264 424 92 , , , A52264 424 93 and and CC A52264 424 94 so so RB A52264 424 95 the the DT A52264 424 96 triangle triangle NN A52264 424 97 EXB EXB NNP A52264 424 98 is be VBZ A52264 424 99 equicrural equicrural JJ A52264 424 100 , , , A52264 424 101 and and CC A52264 424 102 so so RB A52264 424 103 is be VBZ A52264 424 104 the the DT A52264 424 105 triangle triangle NN A52264 424 106 EDB EDB NNP A52264 424 107 , , , A52264 424 108 because because IN A52264 424 109 the the DT A52264 424 110 sides side NNS A52264 424 111 ED ED NNP A52264 424 112 and and CC A52264 424 113 DB DB NNP A52264 424 114 are be VBP A52264 424 115 Radii Radii NNP A52264 424 116 , , , A52264 424 117 and and CC A52264 424 118 the the DT A52264 424 119 angles angle NNS A52264 424 120 at at IN A52264 424 121 their -PRON- PRP$ A52264 424 122 bases basis NNS A52264 424 123 X x NN A52264 424 124 and and CC A52264 424 125 B b NN A52264 424 126 , , , A52264 424 127 E e NN A52264 424 128 and and CC A52264 424 129 B b NN A52264 424 130 , , , A52264 424 131 by by IN A52264 424 132 the the DT A52264 424 133 24th 24th NN A52264 424 134 . . . A52264 425 1 of of IN A52264 425 2 the the DT A52264 425 3 second second JJ A52264 425 4 , , , A52264 425 5 and and CC A52264 425 6 because because IN A52264 425 7 the the DT A52264 425 8 angles angle NNS A52264 425 9 at at IN A52264 425 10 B b NN A52264 425 11 is be VBZ A52264 425 12 common common JJ A52264 425 13 to to IN A52264 425 14 both both DT A52264 425 15 , , , A52264 425 16 therefore therefore RB A52264 425 17 the the DT A52264 425 18 two two CD A52264 425 19 triangles triangle NNS A52264 425 20 , , , A52264 425 21 EXB EXB NNP A52264 425 22 and and CC A52264 425 23 EDB EDB NNP A52264 425 24 are be VBP A52264 425 25 equiangled equiangle VBN A52264 425 26 , , , A52264 425 27 and and CC A52264 425 28 their -PRON- PRP$ A52264 425 29 sides side NNS A52264 425 30 proportional proportional JJ A52264 425 31 , , , A52264 425 32 by by IN A52264 425 33 the the DT A52264 425 34 18 18 CD A52264 425 35 th th NN A52264 425 36 . . . A52264 426 1 and and CC A52264 426 2 16 16 CD A52264 426 3 th th NN A52264 426 4 . . . A52264 427 1 Theoremes theoreme NNS A52264 427 2 of of IN A52264 427 3 the the DT A52264 427 4 second second JJ A52264 427 5 Chapter chapter NN A52264 427 6 , , , A52264 427 7 that that RB A52264 427 8 is be VBZ A52264 427 9 as as IN A52264 427 10 DB DB NNP A52264 427 11 to to IN A52264 427 12 EB EB NNP A52264 427 13 ; ; : A52264 427 14 so so RB A52264 427 15 is be VBZ A52264 427 16 EB eb NN A52264 427 17 to to IN A52264 427 18 BX BX NNP A52264 427 19 , , , A52264 427 20 and and CC A52264 427 21 the the DT A52264 427 22 rectangle rectangle NN A52264 427 23 of of IN A52264 427 24 DB DB NNP A52264 427 25 in in IN A52264 427 26 BX BX NNP A52264 427 27 is be VBZ A52264 427 28 equal equal JJ A52264 427 29 to to IN A52264 427 30 the the DT A52264 427 31 square square NN A52264 427 32 of of IN A52264 427 33 EB EB NNP A52264 427 34 , , , A52264 427 35 whose whose WP$ A52264 427 36 square square JJ A52264 427 37 root root NN A52264 427 38 is be VBZ A52264 427 39 the the DT A52264 427 40 side side NN A52264 427 41 EB eb NN A52264 427 42 , , , A52264 427 43 or or CC A52264 427 44 subtense subtense NN A52264 427 45 of of IN A52264 427 46 72 72 CD A52264 427 47 degrees degree NNS A52264 427 48 , , , A52264 427 49 Example example NN A52264 427 50 . . . A52264 428 1 Let let VB A52264 428 2 AC AC NNP A52264 428 3 , , , A52264 428 4 the the DT A52264 428 5 side side NN A52264 428 6 of of IN A52264 428 7 a a DT A52264 428 8 decangle decangle NN A52264 428 9 or or CC A52264 428 10 the the DT A52264 428 11 subtense subtense NN A52264 428 12 of of IN A52264 428 13 36 36 CD A52264 428 14 degrees degree NNS A52264 428 15 , , , A52264 428 16 be be VB A52264 428 17 as as IN A52264 428 18 before before RB A52264 428 19 : : : A52264 428 20 618033988749895 618033988749895 CD A52264 428 21 , , , A52264 428 22 which which WDT A52264 428 23 being be VBG A52264 428 24 substracted substracte VBN A52264 428 25 from from IN A52264 428 26 the the DT A52264 428 27 diameter diameter NN A52264 428 28 BC BC NNP A52264 428 29 200000.00000 200000.00000 CD A52264 428 30 , , , A52264 428 31 00000 00000 CD A52264 428 32 . . . A52264 428 33 the the DT A52264 428 34 remainer remainer NN A52264 428 35 is be VBZ A52264 428 36 XB XB NNP A52264 428 37 , , , A52264 428 38 1381966011151105 1381966011151105 CD A52264 428 39 , , , A52264 428 40 which which WDT A52264 428 41 being be VBG A52264 428 42 multiplied multiply VBN A52264 428 43 by by IN A52264 428 44 the the DT A52264 428 45 Radius Radius NNP A52264 428 46 DB DB NNP A52264 428 47 , , , A52264 428 48 the the DT A52264 428 49 product product NN A52264 428 50 1381966011251105 1381966011251105 CD A52264 428 51 00000.00000.0000 00000.00000.0000 NNS A52264 428 52 , , , A52264 428 53 shall shall MD A52264 428 54 be be VB A52264 428 55 the the DT A52264 428 56 square square NN A52264 428 57 of of IN A52264 428 58 EB EB NNP A52264 428 59 whose whose WP$ A52264 428 60 square square NN A52264 428 61 root root NN A52264 428 62 1175570504584946 1175570504584946 CD A52264 428 63 is be VBZ A52264 428 64 the the DT A52264 428 65 right right JJ A52264 428 66 line line NN A52264 428 67 EB EB NNP A52264 428 68 , , , A52264 428 69 the the DT A52264 428 70 side side NN A52264 428 71 of of IN A52264 428 72 a a DT A52264 428 73 Pentagon Pentagon NNP A52264 428 74 or or CC A52264 428 75 subtense subtense NN A52264 428 76 of of IN A52264 428 77 72 72 CD A52264 428 78 degrees degree NNS A52264 428 79 . . . A52264 429 1 CONSECTARY CONSECTARY NNP A52264 429 2 . . . A52264 430 1 Hence hence RB A52264 430 2 it -PRON- PRP A52264 430 3 followes follow VBZ A52264 430 4 , , , A52264 430 5 that that IN A52264 430 6 the the DT A52264 430 7 subtense subtense NN A52264 430 8 of of IN A52264 430 9 an an DT A52264 430 10 arch arch JJ A52264 430 11 lesse lesse NN A52264 430 12 then then RB A52264 430 13 a a DT A52264 430 14 semicircle semicircle NN A52264 430 15 being be VBG A52264 430 16 given give VBN A52264 430 17 , , , A52264 430 18 the the DT A52264 430 19 subtense subtense NN A52264 430 20 of of IN A52264 430 21 half half PDT A52264 430 22 the the DT A52264 430 23 complement complement NN A52264 430 24 to to IN A52264 430 25 a a DT A52264 430 26 semicircle semicircle NN A52264 430 27 is be VBZ A52264 430 28 given give VBN A52264 430 29 also also RB A52264 430 30 , , , A52264 430 31 Thus thus RB A52264 430 32 much much JJ A52264 430 33 of of IN A52264 430 34 the the DT A52264 430 35 primarie primarie NNP A52264 430 36 Sines Sines NNP A52264 430 37 , , , A52264 430 38 the the DT A52264 430 39 secondary secondary JJ A52264 430 40 Sines Sines NNPS A52264 430 41 or or CC A52264 430 42 all all PDT A52264 430 43 the the DT A52264 430 44 Sines Sines NNPS A52264 430 45 remaining remain VBG A52264 430 46 may may MD A52264 430 47 be be VB A52264 430 48 found find VBN A52264 430 49 by by IN A52264 430 50 these these DT A52264 430 51 and and CC A52264 430 52 the the DT A52264 430 53 Propositions Propositions NNPS A52264 430 54 following follow VBG A52264 430 55 27 27 CD A52264 430 56 . . . A52264 431 1 The the DT A52264 431 2 subtenses subtense NNS A52264 431 3 of of IN A52264 431 4 any any DT A52264 431 5 two two CD A52264 431 6 arches arch NNS A52264 431 7 together together RB A52264 431 8 lesse lesse NNP A52264 431 9 then then RB A52264 431 10 a a DT A52264 431 11 semicircle semicircle NN A52264 431 12 being be VBG A52264 431 13 given give VBN A52264 431 14 , , , A52264 431 15 to to TO A52264 431 16 finde finde VB A52264 431 17 the the DT A52264 431 18 subtense subtense NN A52264 431 19 of of IN A52264 431 20 both both PDT A52264 431 21 those those DT A52264 431 22 arches arch NNS A52264 431 23 . . . A52264 432 1 The the DT A52264 432 2 Rule Rule NNP A52264 432 3 . . . A52264 433 1 Finde Finde NNP A52264 433 2 the the DT A52264 433 3 subtense subtense NN A52264 433 4 of of IN A52264 433 5 their -PRON- PRP$ A52264 433 6 complements complement NNS A52264 433 7 to to IN A52264 433 8 a a DT A52264 433 9 semicircle semicircle NN A52264 433 10 , , , A52264 433 11 by by IN A52264 433 12 the the DT A52264 433 13 23 23 CD A52264 433 14 hereof hereof NN A52264 433 15 ; ; : A52264 433 16 then then RB A52264 433 17 multiply multiply VB A52264 433 18 each each DT A52264 433 19 subtense subtense NN A52264 433 20 given give VBN A52264 433 21 by by IN A52264 433 22 the the DT A52264 433 23 subtense subtense NN A52264 433 24 of of IN A52264 433 25 the the DT A52264 433 26 complement complement NN A52264 433 27 of of IN A52264 433 28 the the DT A52264 433 29 other other JJ A52264 433 30 subtense subtense NN A52264 433 31 given give VBN A52264 433 32 , , , A52264 433 33 the the DT A52264 433 34 sum sum NN A52264 433 35 of of IN A52264 433 36 both both PDT A52264 433 37 the the DT A52264 433 38 products product NNS A52264 433 39 being be VBG A52264 433 40 divided divide VBN A52264 433 41 by by IN A52264 433 42 the the DT A52264 433 43 diameter diameter NN A52264 433 44 , , , A52264 433 45 shall shall MD A52264 433 46 be be VB A52264 433 47 the the DT A52264 433 48 subtense subtense NN A52264 433 49 of of IN A52264 433 50 both both PDT A52264 433 51 the the DT A52264 433 52 arches arch NNS A52264 433 53 given give VBN A52264 433 54 . . . A52264 434 1 The the DT A52264 434 2 reason reason NN A52264 434 3 of of IN A52264 434 4 the the DT A52264 434 5 Rule Rule NNP A52264 434 6 . . . A52264 435 1 Example example NN A52264 435 2 . . . A52264 436 1 Let let VB A52264 436 2 AI AI NNP A52264 436 3 , , , A52264 436 4 the the DT A52264 436 5 side side NN A52264 436 6 of of IN A52264 436 7 a a DT A52264 436 8 square square JJ A52264 436 9 or or CC A52264 436 10 subtense subtense NN A52264 436 11 of of IN A52264 436 12 90 90 CD A52264 436 13 degrees degree NNS A52264 436 14 be be VB A52264 436 15 141421.35623.73059 141421.35623.73059 CD A52264 436 16 . . . A52264 437 1 And and CC A52264 437 2 EO EO NNP A52264 437 3 , , , A52264 437 4 the the DT A52264 437 5 side side NN A52264 437 6 of of IN A52264 437 7 a a DT A52264 437 8 triangle triangle NN A52264 437 9 , , , A52264 437 10 or or CC A52264 437 11 subtense subtense NN A52264 437 12 of of IN A52264 437 13 120 120 CD A52264 437 14 degrees degree NNS A52264 437 15 , , , A52264 437 16 173205.08075.68877 173205.08075.68877 CD A52264 437 17 , , , A52264 437 18 the the DT A52264 437 19 product product NN A52264 437 20 of of IN A52264 437 21 these these DT A52264 437 22 two two CD A52264 437 23 will will MD A52264 437 24 be be VB A52264 437 25 2449489742783 2449489742783 CD A52264 437 26 ▪ ▪ XX A52264 437 27 77659465844164315 77659465844164315 CD A52264 437 28 . . . A52264 438 1 Let let VB A52264 438 2 AE AE NNP A52264 438 3 , , , A52264 438 4 the the DT A52264 438 5 side side NN A52264 438 6 of of IN A52264 438 7 a a DT A52264 438 8 sixangled sixangled JJ A52264 438 9 figure figure NN A52264 438 10 , , , A52264 438 11 or or CC A52264 438 12 the the DT A52264 438 13 subtense subtense NN A52264 438 14 of of IN A52264 438 15 60 60 CD A52264 438 16 degrees degree NNS A52264 438 17 be be VB A52264 438 18 100000 100000 CD A52264 438 19 00000.00000 00000.00000 CD A52264 438 20 . . . A52264 439 1 And and CC A52264 439 2 IO IO NNP A52264 439 3 , , , A52264 439 4 the the DT A52264 439 5 side side NN A52264 439 6 of of IN A52264 439 7 a a DT A52264 439 8 square square NN A52264 439 9 , , , A52264 439 10 or or CC A52264 439 11 subtense subtense NN A52264 439 12 of of IN A52264 439 13 90 90 CD A52264 439 14 degrees degree NNS A52264 439 15 141421.35623.73059 141421.35623.73059 CD A52264 439 16 the the DT A52264 439 17 product product NN A52264 439 18 of of IN A52264 439 19 these these DT A52264 439 20 two two CD A52264 439 21 will will MD A52264 439 22 be be VB A52264 439 23 141421.35623.73059 141421.35623.73059 CD A52264 439 24 . . . A52264 440 1 00000.00000.00000 00000.00000.00000 NNS A52264 440 2 . . . A52264 441 1 the the DT A52264 441 2 summe summe NN A52264 441 3 of of IN A52264 441 4 these these DT A52264 441 5 two two CD A52264 441 6 products product NNS A52264 441 7 3863703305156272659465844164315 3863703305156272659465844164315 CD A52264 441 8 . . . A52264 442 1 And and CC A52264 442 2 this this DT A52264 442 3 summe summe NN A52264 442 4 divided divide VBN A52264 442 5 by by IN A52264 442 6 the the DT A52264 442 7 diameter diameter NN A52264 442 8 AO AO NNP A52264 442 9 , , , A52264 442 10 200000.00000.00000 200000.00000.00000 CD A52264 442 11 . . . A52264 443 1 leaveth leaveth NNP A52264 443 2 in in IN A52264 443 3 the the DT A52264 443 4 quotient quotient NN A52264 443 5 for for IN A52264 443 6 the the DT A52264 443 7 side side NN A52264 443 8 EI EI NNP A52264 443 9 , , , A52264 443 10 or or CC A52264 443 11 subtense subtense NN A52264 443 12 of of IN A52264 443 13 150 150 CD A52264 443 14 degrees degree NNS A52264 443 15 , , , A52264 443 16 1931851652578136 1931851652578136 CD A52264 443 17 . . . A52264 443 18 the the DT A52264 443 19 half half NN A52264 443 20 whereof whereof NNP A52264 443 21 965925826289068 965925826289068 CD A52264 443 22 , , , A52264 443 23 is be VBZ A52264 443 24 the the DT A52264 443 25 Sine Sine NNP A52264 443 26 of of IN A52264 443 27 75 75 CD A52264 443 28 degrees degree NNS A52264 443 29 . . . A52264 444 1 28 28 CD A52264 444 2 The the DT A52264 444 3 subtenses subtense NNS A52264 444 4 of of IN A52264 444 5 any any DT A52264 444 6 two two CD A52264 444 7 arches arch NNS A52264 444 8 lesse lesse NNP A52264 444 9 then then RB A52264 444 10 a a DT A52264 444 11 Semicircle Semicircle NNP A52264 444 12 being be VBG A52264 444 13 given give VBN A52264 444 14 , , , A52264 444 15 to to TO A52264 444 16 finde finde VB A52264 444 17 the the DT A52264 444 18 subtense subtense NN A52264 444 19 of of IN A52264 444 20 the the DT A52264 444 21 difference difference NN A52264 444 22 of of IN A52264 444 23 those those DT A52264 444 24 arches arch NNS A52264 444 25 , , , A52264 444 26 The the DT A52264 444 27 Rule Rule NNP A52264 444 28 . . . A52264 445 1 Finde finde IN A52264 445 2 the the DT A52264 445 3 subtenses subtense NNS A52264 445 4 of of IN A52264 445 5 their -PRON- PRP$ A52264 445 6 complements complement NNS A52264 445 7 to to IN A52264 445 8 a a DT A52264 445 9 semicircle semicircle NN A52264 445 10 , , , A52264 445 11 by by IN A52264 445 12 the the DT A52264 445 13 23 23 CD A52264 445 14 hereof hereof NN A52264 445 15 , , , A52264 445 16 as as IN A52264 445 17 before before RB A52264 445 18 , , , A52264 445 19 then then RB A52264 445 20 multiply multiply VB A52264 445 21 each each DT A52264 445 22 subtense subtense NN A52264 445 23 given give VBN A52264 445 24 , , , A52264 445 25 by by IN A52264 445 26 the the DT A52264 445 27 subtense subtense NN A52264 445 28 of of IN A52264 445 29 the the DT A52264 445 30 complement complement NN A52264 445 31 of of IN A52264 445 32 the the DT A52264 445 33 other other JJ A52264 445 34 subtense subtense NN A52264 445 35 given give VBN A52264 445 36 ; ; : A52264 445 37 the the DT A52264 445 38 lesser less JJR A52264 445 39 product product NN A52264 445 40 being be VBG A52264 445 41 substracted substracte VBN A52264 445 42 from from IN A52264 445 43 the the DT A52264 445 44 greater great JJR A52264 445 45 , , , A52264 445 46 and and CC A52264 445 47 their -PRON- PRP$ A52264 445 48 difference difference NN A52264 445 49 divided divide VBN A52264 445 50 by by IN A52264 445 51 the the DT A52264 445 52 diameter diameter NN A52264 445 53 , , , A52264 445 54 shall shall MD A52264 445 55 be be VB A52264 445 56 the the DT A52264 445 57 subtense subtense NN A52264 445 58 of of IN A52264 445 59 the the DT A52264 445 60 difference difference NN A52264 445 61 of of IN A52264 445 62 the the DT A52264 445 63 arches arch NNS A52264 445 64 given give VBN A52264 445 65 . . . A52264 446 1 The the DT A52264 446 2 Reason reason NN A52264 446 3 of of IN A52264 446 4 the the DT A52264 446 5 Rule Rule NNP A52264 446 6 . . . A52264 447 1 Let let VB A52264 447 2 the the DT A52264 447 3 subtenses subtense NNS A52264 447 4 of of IN A52264 447 5 the the DT A52264 447 6 given give VBN A52264 447 7 arches arch NNS A52264 447 8 be be VBP A52264 447 9 AE AE NNP A52264 447 10 and and CC A52264 447 11 EI EI NNP A52264 447 12 , , , A52264 447 13 and and CC A52264 447 14 let let VB A52264 447 15 the the DT A52264 447 16 subtense subtense NN A52264 447 17 sought seek VBN A52264 447 18 be be VB A52264 447 19 the the DT A52264 447 20 right right JJ A52264 447 21 line line NN A52264 447 22 EI EI NNP A52264 447 23 ; ; : A52264 447 24 then then RB A52264 447 25 because because IN A52264 447 26 the the DT A52264 447 27 right right NN A52264 447 28 angled angle VBN A52264 447 29 figure figure NN A52264 447 30 made make VBN A52264 447 31 of of IN A52264 447 32 the the DT A52264 447 33 diagonals diagonal NNS A52264 447 34 . . . A52264 448 1 AI AI NNP A52264 448 2 and and CC A52264 448 3 EO EO NNP A52264 448 4 is be VBZ A52264 448 5 equal equal JJ A52264 448 6 to to IN A52264 448 7 the the DT A52264 448 8 right right NN A52264 448 9 angled angle VBN A52264 448 10 figures figure NNS A52264 448 11 made make VBN A52264 448 12 of of IN A52264 448 13 their -PRON- PRP$ A52264 448 14 opposite opposite JJ A52264 448 15 sides side NNS A52264 448 16 , , , A52264 448 17 by by IN A52264 448 18 the the DT A52264 448 19 20 20 CD A52264 448 20 of of IN A52264 448 21 the the DT A52264 448 22 second second JJ A52264 448 23 ; ; : A52264 448 24 therefore therefore RB A52264 448 25 if if IN A52264 448 26 I -PRON- PRP A52264 448 27 subtract subtract VBP A52264 448 28 the the DT A52264 448 29 right right NN A52264 448 30 angled angle VBN A52264 448 31 figure figure NN A52264 448 32 made make VBN A52264 448 33 of of IN A52264 448 34 AE AE NNP A52264 448 35 and and CC A52264 448 36 IO IO NNP A52264 448 37 , , , A52264 448 38 from from IN A52264 448 39 the the DT A52264 448 40 right right JJ A52264 448 41 angled angle VBN A52264 448 42 figure figure NN A52264 448 43 made make VBN A52264 448 44 of of IN A52264 448 45 AI AI NNP A52264 448 46 and and CC A52264 448 47 EO EO NNP A52264 448 48 the the DT A52264 448 49 remainer remainer NN A52264 448 50 will will MD A52264 448 51 be be VB A52264 448 52 the the DT A52264 448 53 right right RB A52264 448 54 angled angle VBN A52264 448 55 figure figure NN A52264 448 56 of of IN A52264 448 57 AO AO NNP A52264 448 58 and and CC A52264 448 59 EI EI NNP A52264 448 60 , , , A52264 448 61 which which WDT A52264 448 62 being be VBG A52264 448 63 divided divide VBN A52264 448 64 by by IN A52264 448 65 the the DT A52264 448 66 diameter diameter NN A52264 448 67 AO AO NNP A52264 448 68 , , , A52264 448 69 leaveth leaveth NNP A52264 448 70 in in IN A52264 448 71 the the DT A52264 448 72 quotient quotient NN A52264 448 73 EI EI NNP A52264 448 74 . . . A52264 449 1 Example example NN A52264 449 2 , , , A52264 449 3 29 29 CD A52264 449 4 . . . A52264 450 1 The the DT A52264 450 2 sine sine NN A52264 450 3 of of IN A52264 450 4 an an DT A52264 450 5 arch arch JJ A52264 450 6 lesse lesse NN A52264 450 7 then then RB A52264 450 8 a a DT A52264 450 9 Quadrant Quadrant NNP A52264 450 10 being be VBG A52264 450 11 given give VBN A52264 450 12 , , , A52264 450 13 together together RB A52264 450 14 with with IN A52264 450 15 the the DT A52264 450 16 sine sine NN A52264 450 17 of of IN A52264 450 18 half half PDT A52264 450 19 his -PRON- PRP$ A52264 450 20 complement complement NN A52264 450 21 , , , A52264 450 22 to to TO A52264 450 23 finde finde VB A52264 450 24 the the DT A52264 450 25 sine sine NN A52264 450 26 of of IN A52264 450 27 an an DT A52264 450 28 arch arch JJ A52264 450 29 equal equal JJ A52264 450 30 to to IN A52264 450 31 the the DT A52264 450 32 commplement commplement NN A52264 450 33 of of IN A52264 450 34 the the DT A52264 450 35 arch arch JJ A52264 450 36 given give VBN A52264 450 37 , , , A52264 450 38 and and CC A52264 450 39 the the DT A52264 450 40 half half JJ A52264 450 41 complement complement NN A52264 450 42 added add VBN A52264 450 43 together together RB A52264 450 44 . . . A52264 451 1 The the DT A52264 451 2 Rule Rule NNP A52264 451 3 . . . A52264 452 1 Multiply multiply VB A52264 452 2 the the DT A52264 452 3 double double JJ A52264 452 4 of of IN A52264 452 5 the the DT A52264 452 6 sine sine NN A52264 452 7 given give VBN A52264 452 8 , , , A52264 452 9 by by IN A52264 452 10 the the DT A52264 452 11 sine sine NN A52264 452 12 of of IN A52264 452 13 half half PDT A52264 452 14 his -PRON- PRP$ A52264 452 15 complement complement NN A52264 452 16 , , , A52264 452 17 the the DT A52264 452 18 product product NN A52264 452 19 divided divide VBN A52264 452 20 by by IN A52264 452 21 the the DT A52264 452 22 Radius Radius NNP A52264 452 23 , , , A52264 452 24 will will MD A52264 452 25 leave leave VB A52264 452 26 in in IN A52264 452 27 the the DT A52264 452 28 quotient quotient NN A52264 452 29 , , , A52264 452 30 a a DT A52264 452 31 number number NN A52264 452 32 , , , A52264 452 33 which which WDT A52264 452 34 being be VBG A52264 452 35 added add VBN A52264 452 36 to to IN A52264 452 37 the the DT A52264 452 38 sine sine NN A52264 452 39 of of IN A52264 452 40 the the DT A52264 452 41 half half JJ A52264 452 42 complement complement NN A52264 452 43 shall shall MD A52264 452 44 be be VB A52264 452 45 the the DT A52264 452 46 sine sine NN A52264 452 47 of of IN A52264 452 48 the the DT A52264 452 49 arch arch NN A52264 452 50 sought seek VBD A52264 452 51 . . . A52264 453 1 The the DT A52264 453 2 reason reason NN A52264 453 3 of of IN A52264 453 4 the the DT A52264 453 5 Rule Rule NNP A52264 453 6 . . . A52264 454 1 That that RB A52264 454 2 is is RB A52264 454 3 , , , A52264 454 4 as as IN A52264 454 5 AI AI NNP A52264 454 6 , , , A52264 454 7 is be VBZ A52264 454 8 to to TO A52264 454 9 AM am VB A52264 454 10 : : : A52264 454 11 so so RB A52264 454 12 is be VBZ A52264 454 13 CP CP NNP A52264 454 14 , , , A52264 454 15 to to IN A52264 454 16 PM pm NN A52264 454 17 ; ; : A52264 454 18 and and CC A52264 454 19 so so RB A52264 454 20 is be VBZ A52264 454 21 PS PS NNP A52264 454 22 , , , A52264 454 23 to to IN A52264 454 24 PN PN NNP A52264 454 25 , , , A52264 454 26 and and CC A52264 454 27 then then RB A52264 454 28 by by IN A52264 454 29 composition composition NN A52264 454 30 , , , A52264 454 31 as as IN A52264 454 32 AI AI NNP A52264 454 33 , , , A52264 454 34 AM AM NNP A52264 454 35 : : : A52264 454 36 so so RB A52264 454 37 is be VBZ A52264 454 38 CS CS NNP A52264 454 39 , , , A52264 454 40 to to IN A52264 454 41 MN MN NNP A52264 454 42 . . . A52264 455 1 Now now RB A52264 455 2 then then RB A52264 455 3 let let VB A52264 455 4 ES ES NNP A52264 455 5 be be VB A52264 455 6 the the DT A52264 455 7 arch arch NN A52264 455 8 given give VBN A52264 455 9 , , , A52264 455 10 and and CC A52264 455 11 SI SI NNP A52264 455 12 the the DT A52264 455 13 complement complement NN A52264 455 14 thereof thereof RB A52264 455 15 to to IN A52264 455 16 a a DT A52264 455 17 Quadrant Quadrant NNP A52264 455 18 , , , A52264 455 19 then then RB A52264 455 20 is be VBZ A52264 455 21 CG CG NNP A52264 455 22 or or CC A52264 455 23 IB IB NNP A52264 455 24 , , , A52264 455 25 being be VBG A52264 455 26 equal equal JJ A52264 455 27 to to IN A52264 455 28 EY EY NNP A52264 455 29 , , , A52264 455 30 the the DT A52264 455 31 half half NN A52264 455 32 of of IN A52264 455 33 the the DT A52264 455 34 said say VBN A52264 455 35 complement complement JJ A52264 455 36 SI SI NNP A52264 455 37 , , , A52264 455 38 and and CC A52264 455 39 AM AM NNP A52264 455 40 is be VBZ A52264 455 41 the the DT A52264 455 42 Sine Sine NNP A52264 455 43 thereof thereof RB A52264 455 44 , , , A52264 455 45 and and CC A52264 455 46 the the DT A52264 455 47 Sine Sine NNP A52264 455 48 of of IN A52264 455 49 ES ES NNP A52264 455 50 is be VBZ A52264 455 51 the the DT A52264 455 52 right right JJ A52264 455 53 line line NN A52264 455 54 HS HS NNP A52264 455 55 , , , A52264 455 56 and and CC A52264 455 57 the the DT A52264 455 58 double double JJ A52264 455 59 CS CS NNP A52264 455 60 , , , A52264 455 61 MN MN NNP A52264 455 62 is be VBZ A52264 455 63 the the DT A52264 455 64 difference difference NN A52264 455 65 between between IN A52264 455 66 AM AM NNP A52264 455 67 , , , A52264 455 68 the the DT A52264 455 69 Sine Sine NNP A52264 455 70 of of IN A52264 455 71 CG CG NNP A52264 455 72 or or CC A52264 455 73 IB IB NNP A52264 455 74 , , , A52264 455 75 and and CC A52264 455 76 AN an DT A52264 455 77 the the DT A52264 455 78 Sine Sine NNP A52264 455 79 of of IN A52264 455 80 SB SB NNP A52264 455 81 , , , A52264 455 82 and and CC A52264 455 83 AI AI NNP A52264 455 84 is be VBZ A52264 455 85 the the DT A52264 455 86 Radius Radius NNP A52264 455 87 , , , A52264 455 88 and and CC A52264 455 89 it -PRON- PRP A52264 455 90 is be VBZ A52264 455 91 already already RB A52264 455 92 proved prove VBN A52264 455 93 , , , A52264 455 94 that that IN A52264 455 95 AI AI NNP A52264 455 96 is be VBZ A52264 455 97 in in IN A52264 455 98 proportion proportion NN A52264 455 99 to to IN A52264 455 100 AM AM NNP A52264 455 101 , , , A52264 455 102 as as IN A52264 455 103 CS CS NNP A52264 455 104 , , , A52264 455 105 is be VBZ A52264 455 106 to to IN A52264 455 107 MN MN NNP A52264 455 108 , , , A52264 455 109 therefore therefore RB A52264 455 110 if if IN A52264 455 111 you -PRON- PRP A52264 455 112 multiply multiply VBP A52264 455 113 AM am NN A52264 455 114 by by IN A52264 455 115 SC SC NNP A52264 455 116 , , , A52264 455 117 and and CC A52264 455 118 divide divide VB A52264 455 119 the the DT A52264 455 120 product product NN A52264 455 121 by by IN A52264 455 122 AI AI NNP A52264 455 123 , , , A52264 455 124 the the DT A52264 455 125 quotient quotient NN A52264 455 126 will will MD A52264 455 127 be be VB A52264 455 128 NM NM NNP A52264 455 129 , , , A52264 455 130 which which WDT A52264 455 131 being be VBG A52264 455 132 added add VBN A52264 455 133 to to IN A52264 455 134 AM AM NNP A52264 455 135 , , , A52264 455 136 doth doth NN A52264 455 137 make make VBP A52264 455 138 AN an NN A52264 455 139 , , , A52264 455 140 the the DT A52264 455 141 Sine Sine NNP A52264 455 142 or or CC A52264 455 143 the the DT A52264 455 144 arch arch NN A52264 455 145 sought seek VBD A52264 455 146 . . . A52264 456 1 Example example NN A52264 456 2 . . . A52264 457 1 Let let VB A52264 457 2 ES ES NNP A52264 457 3 , , , A52264 457 4 the the DT A52264 457 5 arch arch NN A52264 457 6 given give VBN A52264 457 7 , , , A52264 457 8 be be VB A52264 457 9 84 84 CD A52264 457 10 degrees degree NNS A52264 457 11 , , , A52264 457 12 and and CC A52264 457 13 the the DT A52264 457 14 Sine Sine NNP A52264 457 15 thereof thereof IN A52264 457 16 9945219 9945219 CD A52264 457 17 , , , A52264 457 18 which which WDT A52264 457 19 doubled double VBD A52264 457 20 is be VBZ A52264 457 21 19890438 19890438 CD A52264 457 22 , , , A52264 457 23 the the DT A52264 457 24 Sine Sine NNP A52264 457 25 of of IN A52264 457 26 3 3 CD A52264 457 27 degrees degree NNS A52264 457 28 , , , A52264 457 29 the the DT A52264 457 30 halfe halfe NN A52264 457 31 complement complement NN A52264 457 32 is be VBZ A52264 457 33 523360 523360 CD A52264 457 34 , , , A52264 457 35 by by IN A52264 457 36 which which WDT A52264 457 37 the the DT A52264 457 38 double double JJ A52264 457 39 Sine Sine NNP A52264 457 40 of of IN A52264 457 41 84 84 CD A52264 457 42 degrees degree NNS A52264 457 43 being be VBG A52264 457 44 multiplied multiply VBN A52264 457 45 , , , A52264 457 46 the the DT A52264 457 47 product product NN A52264 457 48 will will MD A52264 457 49 be be VB A52264 457 50 104098 104098 CD A52264 457 51 ● ● SYM A52264 457 52 9 9 CD A52264 457 53 . . . A52264 458 1 631680 631680 CD A52264 458 2 , , , A52264 458 3 which which WDT A52264 458 4 divided divide VBN A52264 458 5 by by IN A52264 458 6 the the DT A52264 458 7 Radius Radius NNP A52264 458 8 , , , A52264 458 9 the the DT A52264 458 10 quotient quotient NN A52264 458 11 will will MD A52264 458 12 be be VB A52264 458 13 10409859 10409859 CD A52264 458 14 , , , A52264 458 15 from from IN A52264 458 16 which which WDT A52264 458 17 also also RB A52264 458 18 cutting cut VBG A52264 458 19 off off RP A52264 458 20 the the DT A52264 458 21 last last JJ A52264 458 22 figure figure NN A52264 458 23 , , , A52264 458 24 because because IN A52264 458 25 the the DT A52264 458 26 Sine Sine NNP A52264 458 27 of of IN A52264 458 28 3 3 CD A52264 458 29 degrees degree NNS A52264 458 30 was be VBD A52264 458 31 at at IN A52264 458 32 first first RB A52264 458 33 taken take VBN A52264 458 34 too too RB A52264 458 35 little little JJ A52264 458 36 , , , A52264 458 37 and and CC A52264 458 38 adding add VBG A52264 458 39 the the DT A52264 458 40 remainer remainer NN A52264 458 41 to to IN A52264 458 42 the the DT A52264 458 43 Sine Sine NNP A52264 458 44 of of IN A52264 458 45 3 3 CD A52264 458 46 degrees degree NNS A52264 458 47 , , , A52264 458 48 the the DT A52264 458 49 aggregate aggregate NN A52264 458 50 1564345 1564345 CD A52264 458 51 is be VBZ A52264 458 52 the the DT A52264 458 53 Sine Sine NNP A52264 458 54 of of IN A52264 458 55 6 6 CD A52264 458 56 degrees degree NNS A52264 458 57 , , , A52264 458 58 the the DT A52264 458 59 complement complement NN A52264 458 60 of of IN A52264 458 61 84 84 CD A52264 458 62 , , , A52264 458 63 and and CC A52264 458 64 of of IN A52264 458 65 3 3 CD A52264 458 66 degrees degree NNS A52264 458 67 , , , A52264 458 68 the the DT A52264 458 69 halfe halfe NN A52264 458 70 complement complement NN A52264 458 71 added add VBD A52264 458 72 together together RB A52264 458 73 , , , A52264 458 74 that that RB A52264 458 75 is is RB A52264 458 76 , , , A52264 458 77 it -PRON- PRP A52264 458 78 is be VBZ A52264 458 79 the the DT A52264 458 80 sine sine NN A52264 458 81 of of IN A52264 458 82 9 9 CD A52264 458 83 degrees degree NNS A52264 458 84 . . . A52264 459 1 30 30 CD A52264 459 2 . . . A52264 460 1 The the DT A52264 460 2 subtense subtense NN A52264 460 3 of of IN A52264 460 4 an an DT A52264 460 5 arch arch NN A52264 460 6 being be VBG A52264 460 7 given give VBN A52264 460 8 , , , A52264 460 9 to to TO A52264 460 10 find find VB A52264 460 11 the the DT A52264 460 12 subtense subtense NN A52264 460 13 of of IN A52264 460 14 the the DT A52264 460 15 triple triple JJ A52264 460 16 arch arch NN A52264 460 17 . . . A52264 461 1 The the DT A52264 461 2 Rule Rule NNP A52264 461 3 . . . A52264 462 1 Multiply multiply VB A52264 462 2 the the DT A52264 462 3 subtense subtense NN A52264 462 4 given give VBN A52264 462 5 by by IN A52264 462 6 thrice thrice NN A52264 462 7 Radius Radius NNP A52264 462 8 square square NN A52264 462 9 , , , A52264 462 10 and and CC A52264 462 11 from from IN A52264 462 12 the the DT A52264 462 13 product product NN A52264 462 14 substract substract VB A52264 462 15 the the DT A52264 462 16 cube cube NN A52264 462 17 of of IN A52264 462 18 the the DT A52264 462 19 subtense subtense NN A52264 462 20 given give VBN A52264 462 21 , , , A52264 462 22 what what WDT A52264 462 23 remaineth remaineth NNP A52264 462 24 shall shall MD A52264 462 25 be be VB A52264 462 26 the the DT A52264 462 27 subtense subtense NN A52264 462 28 of of IN A52264 462 29 the the DT A52264 462 30 triple triple JJ A52264 462 31 arch arch NN A52264 462 32 . . . A52264 463 1 The the DT A52264 463 2 reason reason NN A52264 463 3 of of IN A52264 463 4 the the DT A52264 463 5 Rule Rule NNP A52264 463 6 . . . A52264 464 1 Now now RB A52264 464 2 then then RB A52264 464 3 we -PRON- PRP A52264 464 4 have have VBP A52264 464 5 already already RB A52264 464 6 proved prove VBN A52264 464 7 , , , A52264 464 8 that that IN A52264 464 9 the the DT A52264 464 10 square square NN A52264 464 11 of of IN A52264 464 12 AO AO NNP A52264 464 13 divided divide VBN A52264 464 14 by by IN A52264 464 15 Radius Radius NNP A52264 464 16 , , , A52264 464 17 is be VBZ A52264 464 18 equal equal JJ A52264 464 19 to to IN A52264 464 20 OX OX NNP A52264 464 21 , , , A52264 464 22 and and CC A52264 464 23 also also RB A52264 464 24 that that IN A52264 464 25 OX OX NNP A52264 464 26 is be VBZ A52264 464 27 equal equal JJ A52264 464 28 to to IN A52264 464 29 SA SA NNP A52264 464 30 , , , A52264 464 31 and and CC A52264 464 32 therefore therefore RB A52264 464 33 SN SN NNP A52264 464 34 is be VBZ A52264 464 35 less less JJR A52264 464 36 then then RB A52264 464 37 twice twice RB A52264 464 38 Radius radius NN A52264 464 39 by by IN A52264 464 40 the the DT A52264 464 41 right right JJ A52264 464 42 line line NN A52264 464 43 AS as IN A52264 464 44 ; ; : A52264 464 45 or or CC A52264 464 46 thus thus RB A52264 464 47 , , , A52264 464 48 NS NS NNP A52264 464 49 is be VBZ A52264 464 50 twice twice RB A52264 464 51 Radius radius NN A52264 464 52 less less RBR A52264 464 53 by by IN A52264 464 54 AO AO NNP A52264 464 55 square square NN A52264 464 56 divided divide VBN A52264 464 57 by by IN A52264 464 58 Radius radius NN A52264 464 59 : : : A52264 464 60 and and CC A52264 464 61 NS NS NNP A52264 464 62 multiplied multiply VBN A52264 464 63 by by IN A52264 464 64 SA SA NNP A52264 464 65 is be VBZ A52264 464 66 the the DT A52264 464 67 same same JJ A52264 464 68 with with IN A52264 464 69 twice twice JJ A52264 464 70 Radius Radius NNP A52264 464 71 lesse lesse NN A52264 464 72 by by IN A52264 464 73 AO AO NNP A52264 464 74 square square NN A52264 464 75 divided divide VBN A52264 464 76 by by IN A52264 464 77 Radius Radius NNP A52264 464 78 , , , A52264 464 79 multiplied multiply VBN A52264 464 80 into into IN A52264 464 81 AO AO NNP A52264 464 82 square square NN A52264 464 83 divided divide VBN A52264 464 84 by by IN A52264 464 85 Radius Radius NNP A52264 464 86 , , , A52264 464 87 and and CC A52264 464 88 NS NS NNP A52264 464 89 multiplied multiply VBN A52264 464 90 by by IN A52264 464 91 SA SA NNP A52264 464 92 is be VBZ A52264 464 93 equal equal JJ A52264 464 94 to to IN A52264 464 95 SC SC NNP A52264 464 96 multiplied multiply VBN A52264 464 97 by by IN A52264 464 98 OS OS NNP A52264 464 99 ; ; : A52264 464 100 and and CC A52264 464 101 therefore therefore RB A52264 464 102 twice twice RB A52264 464 103 Radius radius NN A52264 464 104 less less RBR A52264 464 105 AO AO NNP A52264 464 106 square square NN A52264 464 107 divided divide VBN A52264 464 108 by by IN A52264 464 109 Rad Rad NNP A52264 464 110 . . . A52264 465 1 multiplied multiply VBN A52264 465 2 by by IN A52264 465 3 AO AO NNP A52264 465 4 square square NN A52264 465 5 divided divide VBN A52264 465 6 by by IN A52264 465 7 Radius Radius NNP A52264 465 8 , , , A52264 465 9 is be VBZ A52264 465 10 equal equal JJ A52264 465 11 to to IN A52264 465 12 SC SC NNP A52264 465 13 , , , A52264 465 14 multiplied multiply VBN A52264 465 15 by by IN A52264 465 16 SO SO NNP A52264 465 17 : : : A52264 465 18 or or CC A52264 465 19 thus thus RB A52264 465 20 , , , A52264 465 21 2 2 CD A52264 465 22 Radius Radius NNP A52264 465 23 less less JJR A52264 465 24 AO AO NNP A52264 465 25 square square NN A52264 465 26 divided divide VBN A52264 465 27 by by IN A52264 465 28 Radius Radius NNP A52264 465 29 , , , A52264 465 30 multiplied multiply VBN A52264 465 31 into into IN A52264 465 32 AO AO NNP A52264 465 33 square square NN A52264 465 34 divided divide VBN A52264 465 35 by by IN A52264 465 36 Radius Radius NNP A52264 465 37 , , , A52264 465 38 and and CC A52264 465 39 divided divide VBN A52264 465 40 by by IN A52264 465 41 AO AO NNP A52264 465 42 or or CC A52264 465 43 SO SO NNP A52264 465 44 is be VBZ A52264 465 45 equal equal JJ A52264 465 46 to to IN A52264 465 47 SC SC NNP A52264 465 48 . . . A52264 466 1 All all PDT A52264 466 2 the the DT A52264 466 3 parts part NNS A52264 466 4 of of IN A52264 466 5 the the DT A52264 466 6 first first JJ A52264 466 7 side side NN A52264 466 8 of of IN A52264 466 9 this this DT A52264 466 10 Equation Equation NNP A52264 466 11 are be VBP A52264 466 12 fractions fraction NNS A52264 466 13 , , , A52264 466 14 except except IN A52264 466 15 AO AO NNP A52264 466 16 and and CC A52264 466 17 the the DT A52264 466 18 two two CD A52264 466 19 Radii Radii NNP A52264 466 20 , , , A52264 466 21 as as IN A52264 466 22 will will MD A52264 466 23 plainly plainly RB A52264 466 24 appear appear VB A52264 466 25 , , , A52264 466 26 by by IN A52264 466 27 setting set VBG A52264 466 28 it -PRON- PRP A52264 466 29 down down RP A52264 466 30 according accord VBG A52264 466 31 to to IN A52264 466 32 the the DT A52264 466 33 form form NN A52264 466 34 of of IN A52264 466 35 Symbolical symbolical JJ A52264 466 36 or or CC A52264 466 37 specious specious JJ A52264 466 38 Arithmetick Arithmetick NNP A52264 466 39 ; ; : A52264 466 40 thus thus RB A52264 466 41 . . . A52264 467 1 . . . A52264 468 1 Which which WDT A52264 468 2 being be VBG A52264 468 3 reduced reduce VBN A52264 468 4 into into IN A52264 468 5 an an DT A52264 468 6 improper improper JJ A52264 468 7 fraction fraction NN A52264 468 8 , , , A52264 468 9 by by IN A52264 468 10 multiplying multiply VBG A52264 468 11 2 2 CD A52264 468 12 Radius Radius NNP A52264 468 13 by by IN A52264 468 14 Radius Radius NNP A52264 468 15 , , , A52264 468 16 the the DT A52264 468 17 Equation Equation NNP A52264 468 18 will will MD A52264 468 19 run run VB A52264 468 20 thus thus RB A52264 468 21 : : : A52264 468 22 And and CC A52264 468 23 then then RB A52264 468 24 these these DT A52264 468 25 two two CD A52264 468 26 fractions fraction NNS A52264 468 27 having have VBG A52264 468 28 one one CD A52264 468 29 common common JJ A52264 468 30 denominator denominator NN A52264 468 31 , , , A52264 468 32 they -PRON- PRP A52264 468 33 may may MD A52264 468 34 be be VB A52264 468 35 reduced reduce VBN A52264 468 36 into into IN A52264 468 37 one one CD A52264 468 38 after after IN A52264 468 39 the the DT A52264 468 40 manner manner NN A52264 468 41 of of IN A52264 468 42 vulgar vulgar JJ A52264 468 43 fractions fraction NNS A52264 468 44 , , , A52264 468 45 that that RB A52264 468 46 is is RB A52264 468 47 , , , A52264 468 48 by by IN A52264 468 49 multiplying multiply VBG A52264 468 50 the the DT A52264 468 51 numerators numerator NNS A52264 468 52 , , , A52264 468 53 the the DT A52264 468 54 product product NN A52264 468 55 will will MD A52264 468 56 be be VB A52264 468 57 a a DT A52264 468 58 new new JJ A52264 468 59 numerator numerator NN A52264 468 60 , , , A52264 468 61 and and CC A52264 468 62 by by IN A52264 468 63 multiplying multiply VBG A52264 468 64 the the DT A52264 468 65 denominators denominator NNS A52264 468 66 the the DT A52264 468 67 product product NN A52264 468 68 will will MD A52264 468 69 be be VB A52264 468 70 a a DT A52264 468 71 new new JJ A52264 468 72 denominator denominator NN A52264 468 73 ; ; : A52264 468 74 thus thus RB A52264 468 75 multiplying multiply VBG A52264 468 76 the the DT A52264 468 77 numerators numerator NNS A52264 468 78 , , , A52264 468 79 2 2 CD A52264 468 80 Rad Rad NNP A52264 468 81 . . . A52264 469 1 aa aa NNP A52264 469 2 − − NNP A52264 469 3 AO AO NNP A52264 469 4 aa aa RB A52264 469 5 by by IN A52264 469 6 the the DT A52264 469 7 numerator numerator NN A52264 469 8 AO AO NNP A52264 469 9 aa aa NNP A52264 469 10 , , , A52264 469 11 the the DT A52264 469 12 product product NN A52264 469 13 is be VBZ A52264 469 14 2 2 CD A52264 469 15 Rad Rad NNP A52264 469 16 . . . A52264 470 1 square square NN A52264 470 2 into into IN A52264 470 3 AO AO NNP A52264 470 4 square square NN A52264 470 5 , , , A52264 470 6 less less RBR A52264 470 7 AO AO NNP A52264 470 8 square square JJ A52264 470 9 square square NN A52264 470 10 , , , A52264 470 11 as as IN A52264 470 12 doth doth NN A52264 470 13 appear appear VBP A52264 470 14 by by IN A52264 470 15 the the DT A52264 470 16 operation operation NN A52264 470 17 ; ; : A52264 470 18 And and CC A52264 470 19 then then RB A52264 470 20 the the DT A52264 470 21 denominators denominator NNS A52264 470 22 being be VBG A52264 470 23 multiplied multiply VBN A52264 470 24 by by IN A52264 470 25 the the DT A52264 470 26 other other JJ A52264 470 27 , , , A52264 470 28 that that RB A52264 470 29 is is RB A52264 470 30 , , , A52264 470 31 Radius Radius NNP A52264 470 32 being be VBG A52264 470 33 multiplied multiply VBN A52264 470 34 by by IN A52264 470 35 Radius Radius NNP A52264 470 36 , , , A52264 470 37 the the DT A52264 470 38 product product NN A52264 470 39 will will MD A52264 470 40 be be VB A52264 470 41 Radius Radius NNP A52264 470 42 aa aa NNP A52264 470 43 for for IN A52264 470 44 a a DT A52264 470 45 new new JJ A52264 470 46 denominator denominator NN A52264 470 47 ; ; : A52264 470 48 and and CC A52264 470 49 then then RB A52264 470 50 the the DT A52264 470 51 Equation Equation NNP A52264 470 52 will will MD A52264 470 53 run run VB A52264 470 54 thus thus RB A52264 470 55 ; ; : A52264 470 56 : : : A52264 470 57 but but CC A52264 470 58 before before IN A52264 470 59 this this DT A52264 470 60 fraction fraction NN A52264 470 61 can can MD A52264 470 62 be be VB A52264 470 63 divided divide VBN A52264 470 64 by by IN A52264 470 65 AO AO NNP A52264 470 66 , , , A52264 470 67 AO AO NNP A52264 470 68 being be VBG A52264 470 69 a a DT A52264 470 70 whole whole JJ A52264 470 71 number number NN A52264 470 72 , , , A52264 470 73 must must MD A52264 470 74 be be VB A52264 470 75 reduced reduce VBN A52264 470 76 into into IN A52264 470 77 an an DT A52264 470 78 improper improper JJ A52264 470 79 fraction fraction NN A52264 470 80 , , , A52264 470 81 by by IN A52264 470 82 subscribing subscribe VBG A52264 470 83 an an DT A52264 470 84 Unite Unite NNP A52264 470 85 , , , A52264 470 86 and and CC A52264 470 87 then then RB A52264 470 88 the the DT A52264 470 89 Equation Equation NNP A52264 470 90 will will MD A52264 470 91 be be VB A52264 470 92 ; ; : A52264 470 93 . . . A52264 471 1 Now now RB A52264 471 2 as as IN A52264 471 3 in in IN A52264 471 4 vulgar vulgar JJ A52264 471 5 fractions fraction NNS A52264 471 6 , , , A52264 471 7 if if IN A52264 471 8 you -PRON- PRP A52264 471 9 multiply multiply VBP A52264 471 10 the the DT A52264 471 11 numerator numerator NN A52264 471 12 of of IN A52264 471 13 the the DT A52264 471 14 dividend dividend NN A52264 471 15 by by IN A52264 471 16 the the DT A52264 471 17 denominators denominator NNS A52264 471 18 of of IN A52264 471 19 the the DT A52264 471 20 divisor divisor NN A52264 471 21 , , , A52264 471 22 the the DT A52264 471 23 product product NN A52264 471 24 shall shall MD A52264 471 25 be be VB A52264 471 26 a a DT A52264 471 27 new new JJ A52264 471 28 numerator numerator NN A52264 471 29 ; ; : A52264 471 30 again again RB A52264 471 31 , , , A52264 471 32 if if IN A52264 471 33 you -PRON- PRP A52264 471 34 multiply multiply VBP A52264 471 35 the the DT A52264 471 36 denominator denominator NN A52264 471 37 of of IN A52264 471 38 the the DT A52264 471 39 dividend dividend NN A52264 471 40 by by IN A52264 471 41 the the DT A52264 471 42 numerator numerator NN A52264 471 43 of of IN A52264 471 44 the the DT A52264 471 45 divisor divisor NN A52264 471 46 , , , A52264 471 47 their -PRON- PRP$ A52264 471 48 product product NN A52264 471 49 shall shall MD A52264 471 50 be be VB A52264 471 51 a a DT A52264 471 52 new new JJ A52264 471 53 denominator denominator NN A52264 471 54 , , , A52264 471 55 and and CC A52264 471 56 this this DT A52264 471 57 new new JJ A52264 471 58 fraction fraction NN A52264 471 59 is be VBZ A52264 471 60 the the DT A52264 471 61 Quotient Quotient NNP A52264 471 62 sought seek VBN A52264 471 63 in in IN A52264 471 64 this this DT A52264 471 65 example example NN A52264 471 66 , , , A52264 471 67 the the DT A52264 471 68 numerator numerator NN A52264 471 69 will will MD A52264 471 70 be be VB A52264 471 71 still still RB A52264 471 72 the the DT A52264 471 73 same same JJ A52264 471 74 , , , A52264 471 75 and and CC A52264 471 76 the the DT A52264 471 77 denominator denominator NN A52264 471 78 will will MD A52264 471 79 be be VB A52264 471 80 Radius Radius NNP A52264 471 81 square square NN A52264 471 82 multiplied multiply VBN A52264 471 83 in in IN A52264 471 84 AO AO NNP A52264 471 85 , , , A52264 471 86 and and CC A52264 471 87 the the DT A52264 471 88 fraction fraction NN A52264 471 89 will will MD A52264 471 90 be be VB A52264 471 91 . . . A52264 472 1 And and CC A52264 472 2 in in IN A52264 472 3 its -PRON- PRP$ A52264 472 4 least least JJS A52264 472 5 termes term VBZ A52264 472 6 it -PRON- PRP A52264 472 7 is be VBZ A52264 472 8 . . . A52264 473 1 In in IN A52264 473 2 words word NNS A52264 473 3 thu thu JJ A52264 473 4 ● ● NFP A52264 473 5 : : : A52264 473 6 Twice twice RB A52264 473 7 Radius Radius NNP A52264 473 8 square square NN A52264 473 9 multiplied multiply VBN A52264 473 10 in in IN A52264 473 11 AO AO NNP A52264 473 12 , , , A52264 473 13 lesse lesse NNP A52264 473 14 by by IN A52264 473 15 the the DT A52264 473 16 cube cube NN A52264 473 17 of of IN A52264 473 18 AO AO NNP A52264 473 19 divided divide VBN A52264 473 20 by by IN A52264 473 21 Radius Radius NNP A52264 473 22 square square NN A52264 473 23 is be VBZ A52264 473 24 equal equal JJ A52264 473 25 to to IN A52264 473 26 SC SC NNP A52264 473 27 . . . A52264 474 1 And and CC A52264 474 2 by by IN A52264 474 3 adding add VBG A52264 474 4 AO AO NNP A52264 474 5 to to IN A52264 474 6 both both DT A52264 474 7 sides side NNS A52264 474 8 of of IN A52264 474 9 the the DT A52264 474 10 Equation Equation NNP A52264 474 11 , , , A52264 474 12 it -PRON- PRP A52264 474 13 will will MD A52264 474 14 be be VB A52264 474 15 , , , A52264 474 16 twice twice RB A52264 474 17 Radius Radius NNP A52264 474 18 square square NN A52264 474 19 in in IN A52264 474 20 AO AO NNP A52264 474 21 , , , A52264 474 22 lesse lesse NNP A52264 474 23 AO AO NNP A52264 474 24 cube cube NN A52264 474 25 divided divide VBN A52264 474 26 by by IN A52264 474 27 Radius Radius NNP A52264 474 28 square square NN A52264 474 29 , , , A52264 474 30 more more JJR A52264 474 31 AO AO NNP A52264 474 32 , , , A52264 474 33 is be VBZ A52264 474 34 equal equal JJ A52264 474 35 to to IN A52264 474 36 SC SC NNP A52264 474 37 more more JJR A52264 474 38 AO AO NNP A52264 474 39 , , , A52264 474 40 that that RB A52264 474 41 is is RB A52264 474 42 , , , A52264 474 43 to to IN A52264 474 44 OC OC NNP A52264 474 45 . . . A52264 475 1 Here here RB A52264 475 2 again again RB A52264 475 3 AO AO NNP A52264 475 4 , , , A52264 475 5 the the DT A52264 475 6 last last JJ A52264 475 7 part part NN A52264 475 8 of of IN A52264 475 9 the the DT A52264 475 10 first first JJ A52264 475 11 side side NN A52264 475 12 of of IN A52264 475 13 this this DT A52264 475 14 Equation Equation NNP A52264 475 15 is be VBZ A52264 475 16 a a DT A52264 475 17 whole whole JJ A52264 475 18 number number NN A52264 475 19 , , , A52264 475 20 and and CC A52264 475 21 must must MD A52264 475 22 be be VB A52264 475 23 reduced reduce VBN A52264 475 24 into into IN A52264 475 25 an an DT A52264 475 26 improper improper JJ A52264 475 27 fraction fraction NN A52264 475 28 , , , A52264 475 29 by by IN A52264 475 30 being be VBG A52264 475 31 multiplied multiply VBN A52264 475 32 by by IN A52264 475 33 Radius Radius NNP A52264 475 34 square square NN A52264 475 35 , , , A52264 475 36 the the DT A52264 475 37 denominator denominator NN A52264 475 38 of of IN A52264 475 39 the the DT A52264 475 40 fraction fraction NN A52264 475 41 ; ; : A52264 475 42 and and CC A52264 475 43 then then RB A52264 475 44 it -PRON- PRP A52264 475 45 will will MD A52264 475 46 be be VB A52264 475 47 Radius Radius NNP A52264 475 48 square square NN A52264 475 49 in in IN A52264 475 50 AO AO NNP A52264 475 51 divided divide VBN A52264 475 52 by by IN A52264 475 53 Radius Radius NNP A52264 475 54 square square NN A52264 475 55 , , , A52264 475 56 which which WDT A52264 475 57 being be VBG A52264 475 58 added add VBN A52264 475 59 to to IN A52264 475 60 twice twice RB A52264 475 61 Radius Radius NNP A52264 475 62 square square NN A52264 475 63 in in IN A52264 475 64 AO AO NNP A52264 475 65 , , , A52264 475 66 divided divide VBN A52264 475 67 by by IN A52264 475 68 Radius Radius NNP A52264 475 69 , , , A52264 475 70 the the DT A52264 475 71 summe summe NN A52264 475 72 will will MD A52264 475 73 be be VB A52264 475 74 3 3 CD A52264 475 75 Radius Radius NNP A52264 475 76 square square NN A52264 475 77 in in IN A52264 475 78 AO AO NNP A52264 475 79 divided divide VBN A52264 475 80 by by IN A52264 475 81 Radius Radius NNP A52264 475 82 square square NN A52264 475 83 , , , A52264 475 84 and and CC A52264 475 85 the the DT A52264 475 86 whole whole JJ A52264 475 87 Equation Equation NNP A52264 475 88 , , , A52264 475 89 the the DT A52264 475 90 subtense subtense NN A52264 475 91 of of IN A52264 475 92 the the DT A52264 475 93 triple triple JJ A52264 475 94 arch arch NN A52264 475 95 . . . A52264 476 1 For for IN A52264 476 2 Example example NN A52264 476 3 . . . A52264 477 1 Let let VB A52264 477 2 AO AO NNP A52264 477 3 or or CC A52264 477 4 AB AB NNP A52264 477 5 , , , A52264 477 6 17431 17431 CD A52264 477 7 . . . A52264 478 1 14854 14854 CD A52264 478 2 . . . A52264 479 1 95316 95316 CD A52264 479 2 . . . A52264 479 3 the the DT A52264 479 4 subtense subtense NN A52264 479 5 of of IN A52264 479 6 10 10 CD A52264 479 7 degrees degree NNS A52264 479 8 be be VB A52264 479 9 the the DT A52264 479 10 subtense subtense NN A52264 479 11 given give VBN A52264 479 12 , , , A52264 479 13 and and CC A52264 479 14 let let VB A52264 479 15 the the DT A52264 479 16 subtense subtense NN A52264 479 17 of of IN A52264 479 18 30 30 CD A52264 479 19 degrees degree NNS A52264 479 20 be be VB A52264 479 21 required require VBN A52264 479 22 ; ; : A52264 479 23 the the DT A52264 479 24 Radius Radius NNP A52264 479 25 of of IN A52264 479 26 this this DT A52264 479 27 subtense subtense NN A52264 479 28 given give VBN A52264 479 29 consists consist NNS A52264 479 30 of of IN A52264 479 31 16 16 CD A52264 479 32 places place NNS A52264 479 33 , , , A52264 479 34 that that RB A52264 479 35 is is RB A52264 479 36 , , , A52264 479 37 of of IN A52264 479 38 a a DT A52264 479 39 unite unite NN A52264 479 40 and and CC A52264 479 41 15 15 CD A52264 479 42 ciphers cipher NNS A52264 479 43 , , , A52264 479 44 and and CC A52264 479 45 therefore therefore RB A52264 479 46 thrice thrice NN A52264 479 47 Rad Rad NNP A52264 479 48 . . . A52264 480 1 square square NNP A52264 480 2 is be VBZ A52264 480 3 3 3 CD A52264 480 4 , , , A52264 480 5 and and CC A52264 480 6 30 30 CD A52264 480 7 ciphers cipher NNS A52264 480 8 thereunto thereunto IN A52264 480 9 annexed annex VBD A52264 480 10 , , , A52264 480 11 by by IN A52264 480 12 which which WDT A52264 480 13 if if IN A52264 480 14 you -PRON- PRP A52264 480 15 multiply multiply VBP A52264 480 16 the the DT A52264 480 17 subtense subtense NN A52264 480 18 given give VBN A52264 480 19 , , , A52264 480 20 the the DT A52264 480 21 product product NN A52264 480 22 will will MD A52264 480 23 be be VB A52264 480 24 52293 52293 CD A52264 480 25 . . . A52264 481 1 44564 44564 CD A52264 481 2 . . . A52264 482 1 85948 85948 CD A52264 482 2 . . . A52264 483 1 00000 00000 NFP A52264 483 2 . . . A52264 484 1 00000 00000 NFP A52264 484 2 . . . A52264 485 1 00000 00000 NFP A52264 485 2 . . . A52264 486 1 00000 00000 NFP A52264 486 2 . . . A52264 487 1 00000 00000 NFP A52264 487 2 . . . A52264 488 1 00000 00000 NFP A52264 488 2 . . . A52264 488 3 the the DT A52264 488 4 square square NN A52264 488 5 of of IN A52264 488 6 this this DT A52264 488 7 subtense subtense NN A52264 488 8 given give VBN A52264 488 9 is be VBZ A52264 488 10 3038449397 3038449397 CD A52264 488 11 . . . A52264 489 1 55837.60253.85793.9856 55837.60253.85793.9856 NNP A52264 489 2 , , , A52264 489 3 and and CC A52264 489 4 the the DT A52264 489 5 cube cube NNP A52264 489 6 529.63662.80907.48519.77452.00270 529.63662.80907.48519.77452.00270 NNP A52264 489 7 . . . A52264 490 1 23994 23994 CD A52264 490 2 . . . A52264 491 1 54977 54977 CD A52264 491 2 . . . A52264 492 1 14496 14496 CD A52264 492 2 , , , A52264 492 3 which which WDT A52264 492 4 being be VBG A52264 492 5 substracted substracte VBN A52264 492 6 from from IN A52264 492 7 the the DT A52264 492 8 former former JJ A52264 492 9 product product NN A52264 492 10 , , , A52264 492 11 there there EX A52264 492 12 will will MD A52264 492 13 remain remain VB A52264 492 14 51763.80902.05040.51480.22547.99729 51763.80902.05040.51480.22547.99729 CD A52264 492 15 . . . A52264 493 1 76005.45022.85504 76005.45022.85504 NNS A52264 493 2 . . . A52264 494 1 this this DT A52264 494 2 remainer remainer NN A52264 494 3 divided divide VBN A52264 494 4 by by IN A52264 494 5 the the DT A52264 494 6 square square NN A52264 494 7 of of IN A52264 494 8 Radius Radius NNP A52264 494 9 , , , A52264 494 10 will will MD A52264 494 11 leave leave VB A52264 494 12 in in IN A52264 494 13 the the DT A52264 494 14 quotient quotient NN A52264 494 15 , , , A52264 494 16 51763.80902.05040 51763.80902.05040 NNP A52264 494 17 . . . A52264 495 1 for for IN A52264 495 2 the the DT A52264 495 3 subtense subtense NN A52264 495 4 of of IN A52264 495 5 30 30 CD A52264 495 6 degrees degree NNS A52264 495 7 . . . A52264 496 1 31 31 CD A52264 496 2 . . . A52264 497 1 The the DT A52264 497 2 subtense subtense NN A52264 497 3 of of IN A52264 497 4 an an DT A52264 497 5 arch arch NN A52264 497 6 being be VBG A52264 497 7 given give VBN A52264 497 8 , , , A52264 497 9 to to TO A52264 497 10 finde finde VB A52264 497 11 the the DT A52264 497 12 subtense subtense NN A52264 497 13 of of IN A52264 497 14 the the DT A52264 497 15 third third JJ A52264 497 16 part part NN A52264 497 17 of of IN A52264 497 18 the the DT A52264 497 19 arch arch NN A52264 497 20 given give VBN A52264 497 21 . . . A52264 498 1 The the DT A52264 498 2 Rule Rule NNP A52264 498 3 . . . A52264 499 1 Multiply multiply VB A52264 499 2 the the DT A52264 499 3 subtense subtense NN A52264 499 4 given give VBN A52264 499 5 by by IN A52264 499 6 Radius Radius NNP A52264 499 7 square square NN A52264 499 8 , , , A52264 499 9 and and CC A52264 499 10 divide divide VB A52264 499 11 the the DT A52264 499 12 product product NN A52264 499 13 by by IN A52264 499 14 thrice thrice NN A52264 499 15 Radius Radius NNP A52264 499 16 square square NN A52264 499 17 , , , A52264 499 18 substracting substracte VBG A52264 499 19 in in RB A52264 499 20 every every DT A52264 499 21 operation operation NN A52264 499 22 the the DT A52264 499 23 cube cube NN A52264 499 24 of of IN A52264 499 25 the the DT A52264 499 26 figure figure NN A52264 499 27 placed place VBN A52264 499 28 in in IN A52264 499 29 the the DT A52264 499 30 quotient quotient NN A52264 499 31 from from IN A52264 499 32 the the DT A52264 499 33 triple triple NN A52264 499 34 thereof thereof RB A52264 499 35 ; ; : A52264 499 36 so so CC A52264 499 37 shall shall MD A52264 499 38 the the DT A52264 499 39 quotient quotient NN A52264 499 40 in in IN A52264 499 41 this this DT A52264 499 42 division division NN A52264 499 43 be be VB A52264 499 44 the the DT A52264 499 45 subtense subtense NN A52264 499 46 of of IN A52264 499 47 the the DT A52264 499 48 third third JJ A52264 499 49 part part NN A52264 499 50 of of IN A52264 499 51 the the DT A52264 499 52 arch arch NN A52264 499 53 given give VBN A52264 499 54 . . . A52264 500 1 The the DT A52264 500 2 reason reason NN A52264 500 3 of of IN A52264 500 4 the the DT A52264 500 5 Rule Rule NNP A52264 500 6 . . . A52264 501 1 The the DT A52264 501 2 reason reason NN A52264 501 3 of of IN A52264 501 4 the the DT A52264 501 5 rule rule NN A52264 501 6 is be VBZ A52264 501 7 the the DT A52264 501 8 same same JJ A52264 501 9 with with IN A52264 501 10 the the DT A52264 501 11 triple triple JJ A52264 501 12 arch arch NN A52264 501 13 , , , A52264 501 14 but but CC A52264 501 15 the the DT A52264 501 16 manner manner NN A52264 501 17 of of IN A52264 501 18 working work VBG A52264 501 19 is be VBZ A52264 501 20 more more RBR A52264 501 21 troublesome troublesome JJ A52264 501 22 , , , A52264 501 23 the the DT A52264 501 24 which which WDT A52264 501 25 I -PRON- PRP A52264 501 26 shall shall MD A52264 501 27 endeovour endeovour VB A52264 501 28 to to TO A52264 501 29 explain explain VB A52264 501 30 by by IN A52264 501 31 example example NN A52264 501 32 . . . A52264 502 1 Let let VB A52264 502 2 there there EX A52264 502 3 be be VB A52264 502 4 given give VBN A52264 502 5 the the DT A52264 502 6 subtense subtense NN A52264 502 7 of of IN A52264 502 8 30 30 CD A52264 502 9 degrees degree NNS A52264 502 10 , , , A52264 502 11 517638090205040 517638090205040 CD A52264 502 12 , , , A52264 502 13 and and CC A52264 502 14 let let VB A52264 502 15 the the DT A52264 502 16 subtense subtense NN A52264 502 17 of of IN A52264 502 18 10 10 CD A52264 502 19 degrees degree NNS A52264 502 20 be be VB A52264 502 21 required require VBN A52264 502 22 : : : A52264 502 23 First first RB A52264 502 24 , , , A52264 502 25 I -PRON- PRP A52264 502 26 multiply multiply VBP A52264 502 27 the the DT A52264 502 28 subtense subtense NN A52264 502 29 given give VBN A52264 502 30 by by IN A52264 502 31 the the DT A52264 502 32 square square NN A52264 502 33 of of IN A52264 502 34 Radius Radius NNP A52264 502 35 , , , A52264 502 36 that that RB A52264 502 37 is is RB A52264 502 38 , , , A52264 502 39 I -PRON- PRP A52264 502 40 adde adde VBP A52264 502 41 30 30 CD A52264 502 42 ciphers cipher NNS A52264 502 43 thereunto thereunto NNS A52264 502 44 , , , A52264 502 45 and and CC A52264 502 46 for for IN A52264 502 47 the the DT A52264 502 48 better well JJR A52264 502 49 proceeding proceeding NN A52264 502 50 in in IN A52264 502 51 the the DT A52264 502 52 work work NN A52264 502 53 , , , A52264 502 54 I -PRON- PRP A52264 502 55 distinguish distinguish VBP A52264 502 56 the the DT A52264 502 57 subtense subtense NN A52264 502 58 given give VBN A52264 502 59 thus thus RB A52264 502 60 inlarged inlarge VBN A52264 502 61 by by IN A52264 502 62 multiplication multiplication NN A52264 502 63 into into IN A52264 502 64 little little JJ A52264 502 65 cubes cube NNS A52264 502 66 , , , A52264 502 67 setting set VBG A52264 502 68 a a DT A52264 502 69 point point NN A52264 502 70 between between IN A52264 502 71 every every DT A52264 502 72 third third JJ A52264 502 73 figure figure NN A52264 502 74 or or CC A52264 502 75 cipher cipher NN A52264 502 76 , , , A52264 502 77 beginning begin VBG A52264 502 78 with with IN A52264 502 79 the the DT A52264 502 80 last last JJ A52264 502 81 first first JJ A52264 502 82 , , , A52264 502 83 and and CC A52264 502 84 then then RB A52264 502 85 the the DT A52264 502 86 subtense subtense NN A52264 502 87 given give VBN A52264 502 88 will will MD A52264 502 89 stand stand VB A52264 502 90 thus thus RB A52264 502 91 : : : A52264 502 92 517.638.090.205.040.000.000.000.000.000 517.638.090.205.040.000.000.000.000.000 CD A52264 502 93 000.000.000.000.000 000.000.000.000.000 NFP A52264 502 94 . . . A52264 503 1 And and CC A52264 503 2 so so RB A52264 503 3 many many JJ A52264 503 4 points point NNS A52264 503 5 as as IN A52264 503 6 in in IN A52264 503 7 this this DT A52264 503 8 manner manner NN A52264 503 9 are be VBP A52264 503 10 interposed interpose VBN A52264 503 11 , , , A52264 503 12 of of IN A52264 503 13 so so RB A52264 503 14 many many JJ A52264 503 15 places place NNS A52264 503 16 the the DT A52264 503 17 quotient quotient NN A52264 503 18 wil wil NNP A52264 503 19 consist consist VBP A52264 503 20 , , , A52264 503 21 the the DT A52264 503 22 which which WDT A52264 503 23 in in IN A52264 503 24 this this DT A52264 503 25 example example NN A52264 503 26 is be VBZ A52264 503 27 15 15 CD A52264 503 28 , , , A52264 503 29 and and CC A52264 503 30 because because IN A52264 503 31 here here RB A52264 503 32 are be VBP A52264 503 33 too too RB A52264 503 34 many many JJ A52264 503 35 figures figure NNS A52264 503 36 to to TO A52264 503 37 be be VB A52264 503 38 placed place VBN A52264 503 39 in in IN A52264 503 40 so so RB A52264 503 41 narrow narrow JJ A52264 503 42 a a DT A52264 503 43 page page NN A52264 503 44 , , , A52264 503 45 we -PRON- PRP A52264 503 46 will will MD A52264 503 47 take take VB A52264 503 48 so so RB A52264 503 49 many many JJ A52264 503 50 of of IN A52264 503 51 them -PRON- PRP A52264 503 52 onely onely RB A52264 503 53 as as IN A52264 503 54 will will MD A52264 503 55 be be VB A52264 503 56 necessary necessary JJ A52264 503 57 for for IN A52264 503 58 our -PRON- PRP$ A52264 503 59 present present JJ A52264 503 60 purpose purpose NN A52264 503 61 ; ; : A52264 503 62 as as RB A52264 503 63 namely namely RB A52264 503 64 , , , A52264 503 65 the the DT A52264 503 66 15 15 CD A52264 503 67 first first JJ A52264 503 68 figures figure NNS A52264 503 69 , , , A52264 503 70 which which WDT A52264 503 71 being be VBG A52264 503 72 ordered order VBN A52264 503 73 , , , A52264 503 74 according accord VBG A52264 503 75 to to IN A52264 503 76 the the DT A52264 503 77 rules rule NNS A52264 503 78 of of IN A52264 503 79 decimal decimal JJ A52264 503 80 Arithmetick Arithmetick NNP A52264 503 81 , , , A52264 503 82 may may MD A52264 503 83 be be VB A52264 503 84 divided divide VBN A52264 503 85 into into IN A52264 503 86 little little JJ A52264 503 87 cubes cube NNS A52264 503 88 , , , A52264 503 89 beginning begin VBG A52264 503 90 with with IN A52264 503 91 the the DT A52264 503 92 first first JJ A52264 503 93 figure figure NN A52264 503 94 , , , A52264 503 95 but but CC A52264 503 96 then then RB A52264 503 97 you -PRON- PRP A52264 503 98 must must MD A52264 503 99 consider consider VB A52264 503 100 whether whether IN A52264 503 101 the the DT A52264 503 102 number number NN A52264 503 103 given give VBN A52264 503 104 to to TO A52264 503 105 be be VB A52264 503 106 thus thus RB A52264 503 107 divided divide VBN A52264 503 108 be be VB A52264 503 109 a a DT A52264 503 110 whole whole JJ A52264 503 111 number number NN A52264 503 112 or or CC A52264 503 113 a a DT A52264 503 114 fraction fraction NN A52264 503 115 , , , A52264 503 116 if if IN A52264 503 117 it -PRON- PRP A52264 503 118 be be VB A52264 503 119 a a DT A52264 503 120 whole whole JJ A52264 503 121 number number NN A52264 503 122 , , , A52264 503 123 you -PRON- PRP A52264 503 124 must must MD A52264 503 125 set set VB A52264 503 126 your -PRON- PRP$ A52264 503 127 point point NN A52264 503 128 after after RB A52264 503 129 or or CC A52264 503 130 over over IN A52264 503 131 the the DT A52264 503 132 head head NN A52264 503 133 of of IN A52264 503 134 the the DT A52264 503 135 first first JJ A52264 503 136 figure figure NN A52264 503 137 , , , A52264 503 138 if if IN A52264 503 139 it -PRON- PRP A52264 503 140 be be VB A52264 503 141 a a DT A52264 503 142 fraction fraction NN A52264 503 143 , , , A52264 503 144 place place NN A52264 503 145 as as IN A52264 503 146 many many JJ A52264 503 147 ciphers cipher NNS A52264 503 148 before before IN A52264 503 149 the the DT A52264 503 150 fraction fraction NN A52264 503 151 given give VBN A52264 503 152 , , , A52264 503 153 as as IN A52264 503 154 will will MD A52264 503 155 make make VB A52264 503 156 it -PRON- PRP A52264 503 157 consist consist VB A52264 503 158 of of IN A52264 503 159 equal equal JJ A52264 503 160 places place NNS A52264 503 161 with with IN A52264 503 162 the the DT A52264 503 163 denominator denominator NN A52264 503 164 of of IN A52264 503 165 the the DT A52264 503 166 Fraction Fraction NNP A52264 503 167 given give VBN A52264 503 168 ; ; : A52264 503 169 thus thus RB A52264 503 170 the the DT A52264 503 171 subtense subtense NN A52264 503 172 given give VBN A52264 503 173 being be VBG A52264 503 174 a a DT A52264 503 175 fraction fraction NN A52264 503 176 , , , A52264 503 177 part part NN A52264 503 178 of of IN A52264 503 179 the the DT A52264 503 180 supposed suppose VBN A52264 503 181 Radius Radius NNP A52264 503 182 of of IN A52264 503 183 a a DT A52264 503 184 circle circle NN A52264 503 185 , , , A52264 503 186 the the DT A52264 503 187 which which WDT A52264 503 188 , , , A52264 503 189 as as IN A52264 503 190 hath hath NNP A52264 503 191 been be VBN A52264 503 192 said say VBD A52264 503 193 doth doth NNP A52264 503 194 consist consist NNP A52264 503 195 of of IN A52264 503 196 16 16 CD A52264 503 197 , , , A52264 503 198 and and CC A52264 503 199 the the DT A52264 503 200 subtense subtense NN A52264 503 201 given give VBN A52264 503 202 but but CC A52264 503 203 of of IN A52264 503 204 fifteen fifteen CD A52264 503 205 , , , A52264 503 206 I -PRON- PRP A52264 503 207 set set VBD A52264 503 208 a a DT A52264 503 209 cipher cipher NN A52264 503 210 before before IN A52264 503 211 it -PRON- PRP A52264 503 212 , , , A52264 503 213 and and CC A52264 503 214 distinguish distinguish VB A52264 503 215 that that DT A52264 503 216 cipher cipher NN A52264 503 217 from from IN A52264 503 218 the the DT A52264 503 219 subtense subtense NN A52264 503 220 given give VBN A52264 503 221 by by IN A52264 503 222 a a DT A52264 503 223 point point NN A52264 503 224 or or CC A52264 503 225 line line NN A52264 503 226 , , , A52264 503 227 and and CC A52264 503 228 every every DT A52264 503 229 third third JJ A52264 503 230 figure figure NN A52264 503 231 after after RB A52264 503 232 , , , A52264 503 233 so so RB A52264 503 234 will will MD A52264 503 235 the the DT A52264 503 236 subtense subtense NN A52264 503 237 given give VBN A52264 503 238 be be VB A52264 503 239 distinguished distinguish VBN A52264 503 240 into into IN A52264 503 241 little little JJ A52264 503 242 cubes cube NNS A52264 503 243 , , , A52264 503 244 as as IN A52264 503 245 before before RB A52264 503 246 . . . A52264 504 1 This this DT A52264 504 2 done do VBN A52264 504 3 , , , A52264 504 4 I -PRON- PRP A52264 504 5 place place VBP A52264 504 6 my -PRON- PRP$ A52264 504 7 divisor divisor NN A52264 504 8 thrice thrice NN A52264 504 9 Radius Radius NNP A52264 504 10 square square NN A52264 504 11 , , , A52264 504 12 that that RB A52264 504 13 is is RB A52264 504 14 , , , A52264 504 15 3 3 CD A52264 504 16 with with IN A52264 504 17 ciphers cipher NNS A52264 504 18 ( ( -LRB- A52264 504 19 or or CC A52264 504 20 at at IN A52264 504 21 least least JJS A52264 504 22 supposing suppose VBG A52264 504 23 ciphers cipher NNS A52264 504 24 to to TO A52264 504 25 be be VB A52264 504 26 thereunto thereunto NNS A52264 504 27 annexed annex VBN A52264 504 28 ) ) -RRB- A52264 504 29 as as IN A52264 504 30 in in IN A52264 504 31 common common JJ A52264 504 32 division division NN A52264 504 33 under under IN A52264 504 34 the the DT A52264 504 35 first first JJ A52264 504 36 figure figure NN A52264 504 37 of of IN A52264 504 38 the the DT A52264 504 39 subtense subtense NN A52264 504 40 given give VBN A52264 504 41 , , , A52264 504 42 that that RB A52264 504 43 is is RB A52264 504 44 , , , A52264 504 45 as as IN A52264 504 46 we -PRON- PRP A52264 504 47 have have VBP A52264 504 48 now now RB A52264 504 49 ordered order VBN A52264 504 50 it -PRON- PRP A52264 504 51 under under IN A52264 504 52 the the DT A52264 504 53 cipher cipher NN A52264 504 54 , , , A52264 504 55 and and CC A52264 504 56 ask ask VB A52264 504 57 how how WRB A52264 504 58 often often RB A52264 504 59 3 3 CD A52264 504 60 in in IN A52264 504 61 nought nought NN A52264 504 62 , , , A52264 504 63 which which WDT A52264 504 64 being be VBG A52264 504 65 not not RB A52264 504 66 once once RB A52264 504 67 , , , A52264 504 68 I -PRON- PRP A52264 504 69 put put VBD A52264 504 70 a a DT A52264 504 71 cipher cipher NN A52264 504 72 in in IN A52264 504 73 the the DT A52264 504 74 margine margine NN A52264 504 75 , , , A52264 504 76 and and CC A52264 504 77 move move VB A52264 504 78 my -PRON- PRP$ A52264 504 79 divisor divisor NN A52264 504 80 a a DT A52264 504 81 place place NN A52264 504 82 forwarder forwarder NN A52264 504 83 , , , A52264 504 84 setting set VBG A52264 504 85 it -PRON- PRP A52264 504 86 under under IN A52264 504 87 5 5 CD A52264 504 88 , , , A52264 504 89 and and CC A52264 504 90 ask ask VB A52264 504 91 how how WRB A52264 504 92 often often RB A52264 504 93 3 3 CD A52264 504 94 in in IN A52264 504 95 5 5 CD A52264 504 96 , , , A52264 504 97 which which WDT A52264 504 98 being be VBG A52264 504 99 but but CC A52264 504 100 once once RB A52264 504 101 , , , A52264 504 102 I -PRON- PRP A52264 504 103 place place VBP A52264 504 104 one one CD A52264 504 105 in in IN A52264 504 106 the the DT A52264 504 107 quotient quotient NN A52264 504 108 , , , A52264 504 109 and and CC A52264 504 110 the the DT A52264 504 111 triple triple JJ A52264 504 112 thereof thereof RB A52264 504 113 being be VBG A52264 504 114 3 3 CD A52264 504 115 , , , A52264 504 116 I -PRON- PRP A52264 504 117 place place VBP A52264 504 118 under under IN A52264 504 119 3 3 CD A52264 504 120 my -PRON- PRP$ A52264 504 121 divisor divisor NN A52264 504 122 , , , A52264 504 123 and and CC A52264 504 124 the the DT A52264 504 125 cube cube NN A52264 504 126 of of IN A52264 504 127 the the DT A52264 504 128 figure figure NN A52264 504 129 placed place VBN A52264 504 130 in in IN A52264 504 131 the the DT A52264 504 132 quotient quotient NN A52264 504 133 , , , A52264 504 134 which which WDT A52264 504 135 in in IN A52264 504 136 this this DT A52264 504 137 case case NN A52264 504 138 is be VBZ A52264 504 139 the the DT A52264 504 140 same same JJ A52264 504 141 with with IN A52264 504 142 the the DT A52264 504 143 quotient quotient NN A52264 504 144 it -PRON- PRP A52264 504 145 self self NN A52264 504 146 , , , A52264 504 147 I -PRON- PRP A52264 504 148 set set VBD A52264 504 149 under under IN A52264 504 150 the the DT A52264 504 151 last last JJ A52264 504 152 figure figure NN A52264 504 153 of of IN A52264 504 154 the the DT A52264 504 155 first first JJ A52264 504 156 cube cube NN A52264 504 157 , , , A52264 504 158 and and CC A52264 504 159 supposing suppose VBG A52264 504 160 ciphers cipher NNS A52264 504 161 to to TO A52264 504 162 be be VB A52264 504 163 annexed annex VBN A52264 504 164 to to IN A52264 504 165 the the DT A52264 504 166 triple triple JJ A52264 504 167 root root NN A52264 504 168 , , , A52264 504 169 I -PRON- PRP A52264 504 170 substract substract VBP A52264 504 171 this this DT A52264 504 172 cube cube NN A52264 504 173 from from IN A52264 504 174 it -PRON- PRP A52264 504 175 , , , A52264 504 176 and and CC A52264 504 177 there there RB A52264 504 178 doth doth NNP A52264 504 179 remain remain VBP A52264 504 180 299 299 CD A52264 504 181 , , , A52264 504 182 which which WDT A52264 504 183 is be VBZ A52264 504 184 my -PRON- PRP$ A52264 504 185 divisor divisor NN A52264 504 186 corrected correct VBN A52264 504 187 ; ; : A52264 504 188 with with IN A52264 504 189 this this DT A52264 504 190 therefore therefore RB A52264 504 191 I -PRON- PRP A52264 504 192 see see VBP A52264 504 193 whether whether IN A52264 504 194 I -PRON- PRP A52264 504 195 have have VBP A52264 504 196 rightly rightly RB A52264 504 197 wrought work VBN A52264 504 198 or or CC A52264 504 199 not not RB A52264 504 200 , , , A52264 504 201 by by IN A52264 504 202 asking ask VBG A52264 504 203 , , , A52264 504 204 how how WRB A52264 504 205 often often RB A52264 504 206 299 299 CD A52264 504 207 is be VBZ A52264 504 208 contained contain VBN A52264 504 209 in in IN A52264 504 210 the the DT A52264 504 211 first first JJ A52264 504 212 cube cube NN A52264 504 213 of of IN A52264 504 214 the the DT A52264 504 215 subtense subtense NN A52264 504 216 given give VBN A52264 504 217 , , , A52264 504 218 517 517 CD A52264 504 219 , , , A52264 504 220 which which WDT A52264 504 221 being be VBG A52264 504 222 but but CC A52264 504 223 once once RB A52264 504 224 , , , A52264 504 225 as as IN A52264 504 226 before before RB A52264 504 227 , , , A52264 504 228 the the DT A52264 504 229 former former JJ A52264 504 230 work work NN A52264 504 231 must must MD A52264 504 232 stand stand VB A52264 504 233 , , , A52264 504 234 & & CC A52264 504 235 this this DT A52264 504 236 divisor divisor NN A52264 504 237 corrected correct VBN A52264 504 238 must must MD A52264 504 239 be be VB A52264 504 240 subtracted subtract VBN A52264 504 241 from from IN A52264 504 242 the the DT A52264 504 243 first first JJ A52264 504 244 cube cube NN A52264 504 245 in in IN A52264 504 246 the the DT A52264 504 247 subtense subtense NN A52264 504 248 given give VBN A52264 504 249 , , , A52264 504 250 and and CC A52264 504 251 there there EX A52264 504 252 will will MD A52264 504 253 rest rest VB A52264 504 254 218 218 CD A52264 504 255 , , , A52264 504 256 and and CC A52264 504 257 so so RB A52264 504 258 have have VBP A52264 504 259 I -PRON- PRP A52264 504 260 wrote write VBD A52264 504 261 once once RB A52264 504 262 . . . A52264 505 1 To to IN A52264 505 2 this this DT A52264 505 3 remainer remainer NN A52264 505 4 of of IN A52264 505 5 the the DT A52264 505 6 first first JJ A52264 505 7 cube cube NNP A52264 505 8 218 218 CD A52264 505 9 , , , A52264 505 10 I -PRON- PRP A52264 505 11 draw draw VBP A52264 505 12 down down RP A52264 505 13 638 638 CD A52264 505 14 , , , A52264 505 15 the the DT A52264 505 16 figures figure NNS A52264 505 17 of of IN A52264 505 18 the the DT A52264 505 19 next next JJ A52264 505 20 cube cube NNP A52264 505 21 & & CC A52264 505 22 moving move VBG A52264 505 23 my -PRON- PRP$ A52264 505 24 divisor divisor NN A52264 505 25 a a DT A52264 505 26 place place NN A52264 505 27 forwarder forwarder NN A52264 505 28 , , , A52264 505 29 I -PRON- PRP A52264 505 30 ask ask VBP A52264 505 31 , , , A52264 505 32 how how WRB A52264 505 33 often often RB A52264 505 34 3 3 CD A52264 505 35 in in IN A52264 505 36 21 21 CD A52264 505 37 , , , A52264 505 38 which which WDT A52264 505 39 being be VBG A52264 505 40 7 7 CD A52264 505 41 times time NNS A52264 505 42 , , , A52264 505 43 I -PRON- PRP A52264 505 44 put put VBD A52264 505 45 7 7 CD A52264 505 46 in in IN A52264 505 47 the the DT A52264 505 48 quotient quotient NN A52264 505 49 , , , A52264 505 50 and and CC A52264 505 51 under under IN A52264 505 52 the the DT A52264 505 53 first first JJ A52264 505 54 figure figure NN A52264 505 55 of of IN A52264 505 56 this this DT A52264 505 57 second second JJ A52264 505 58 cube cube NN A52264 505 59 , , , A52264 505 60 that that RB A52264 505 61 is is RB A52264 505 62 , , , A52264 505 63 under under IN A52264 505 64 6 6 CD A52264 505 65 I -PRON- PRP A52264 505 66 set set VBD A52264 505 67 the the DT A52264 505 68 triple triple JJ A52264 505 69 square square NN A52264 505 70 of of IN A52264 505 71 the the DT A52264 505 72 first first JJ A52264 505 73 figure figure NN A52264 505 74 in in IN A52264 505 75 the the DT A52264 505 76 quotient quotient NN A52264 505 77 , , , A52264 505 78 that that RB A52264 505 79 is is RB A52264 505 80 , , , A52264 505 81 3 3 CD A52264 505 82 , , , A52264 505 83 for for IN A52264 505 84 the the DT A52264 505 85 quotient quotient NN A52264 505 86 being being NN A52264 505 87 but but CC A52264 505 88 one one CD A52264 505 89 , , , A52264 505 90 the the DT A52264 505 91 square square NN A52264 505 92 is be VBZ A52264 505 93 no no RB A52264 505 94 more more JJR A52264 505 95 , , , A52264 505 96 and and CC A52264 505 97 the the DT A52264 505 98 triple triple JJ A52264 505 99 thereof thereof RB A52264 505 100 is be VBZ A52264 505 101 3 3 CD A52264 505 102 ; ; : A52264 505 103 under under IN A52264 505 104 the the DT A52264 505 105 second second JJ A52264 505 106 figure figure NN A52264 505 107 of of IN A52264 505 108 this this DT A52264 505 109 second second JJ A52264 505 110 cube cube NN A52264 505 111 I -PRON- PRP A52264 505 112 set set VBD A52264 505 113 the the DT A52264 505 114 triple triple JJ A52264 505 115 quotient quotient NN A52264 505 116 , , , A52264 505 117 the the DT A52264 505 118 which which WDT A52264 505 119 in in IN A52264 505 120 this this DT A52264 505 121 example example NN A52264 505 122 is be VBZ A52264 505 123 likewise likewise RB A52264 505 124 3 3 CD A52264 505 125 , , , A52264 505 126 and and CC A52264 505 127 both both PDT A52264 505 128 these these DT A52264 505 129 added add VBD A52264 505 130 together together RB A52264 505 131 , , , A52264 505 132 do do VBP A52264 505 133 make make VB A52264 505 134 33 33 CD A52264 505 135 , , , A52264 505 136 which which WDT A52264 505 137 being be VBG A52264 505 138 substracted substracte VBN A52264 505 139 from from IN A52264 505 140 my -PRON- PRP$ A52264 505 141 divisor divisor NN A52264 505 142 3000 3000 CD A52264 505 143 , , , A52264 505 144 there there EX A52264 505 145 will will MD A52264 505 146 remain remain VB A52264 505 147 2967 2967 CD A52264 505 148 , , , A52264 505 149 for for IN A52264 505 150 the the DT A52264 505 151 divisor divisor NN A52264 505 152 corrected correct VBN A52264 505 153 , , , A52264 505 154 and and CC A52264 505 155 by by IN A52264 505 156 this this DT A52264 505 157 also also RB A52264 505 158 I -PRON- PRP A52264 505 159 finde finde VBP A52264 505 160 the the DT A52264 505 161 quotient quotient NN A52264 505 162 to to TO A52264 505 163 be be VB A52264 505 164 7 7 CD A52264 505 165 , , , A52264 505 166 and and CC A52264 505 167 yet yet RB A52264 505 168 I -PRON- PRP A52264 505 169 know know VBP A52264 505 170 not not RB A52264 505 171 whether whether IN A52264 505 172 my -PRON- PRP$ A52264 505 173 work work NN A52264 505 174 be be VB A52264 505 175 right right JJ A52264 505 176 or or CC A52264 505 177 not not RB A52264 505 178 , , , A52264 505 179 I -PRON- PRP A52264 505 180 must must MD A52264 505 181 therefore therefore RB A52264 505 182 proceed proceed VB A52264 505 183 , , , A52264 505 184 and and CC A52264 505 185 set set VBD A52264 505 186 the the DT A52264 505 187 triple triple NN A52264 505 188 of of IN A52264 505 189 the the DT A52264 505 190 figure figure NN A52264 505 191 last last RB A52264 505 192 placed place VBN A52264 505 193 in in IN A52264 505 194 the the DT A52264 505 195 Quotient Quotient NNP A52264 505 196 under under IN A52264 505 197 the the DT A52264 505 198 first first JJ A52264 505 199 figure figure NN A52264 505 200 of of IN A52264 505 201 the the DT A52264 505 202 remainer remainer NN A52264 505 203 of of IN A52264 505 204 the the DT A52264 505 205 first first JJ A52264 505 206 cube cube NN A52264 505 207 , , , A52264 505 208 that that RB A52264 505 209 is is RB A52264 505 210 , , , A52264 505 211 I -PRON- PRP A52264 505 212 must must MD A52264 505 213 set set VB A52264 505 214 21 21 CD A52264 505 215 , , , A52264 505 216 the the DT A52264 505 217 triple triple NN A52264 505 218 of of IN A52264 505 219 7 7 CD A52264 505 220 under under IN A52264 505 221 2 2 CD A52264 505 222 , , , A52264 505 223 the the DT A52264 505 224 first first JJ A52264 505 225 figure figure NN A52264 505 226 of of IN A52264 505 227 218 218 CD A52264 505 228 , , , A52264 505 229 and and CC A52264 505 230 now now RB A52264 505 231 having have VBG A52264 505 232 two two CD A52264 505 233 figures figure NNS A52264 505 234 in in IN A52264 505 235 the the DT A52264 505 236 quotient quotient NN A52264 505 237 , , , A52264 505 238 for for IN A52264 505 239 distinction distinction NN A52264 505 240 sake sake NN A52264 505 241 I -PRON- PRP A52264 505 242 call call VBP A52264 505 243 the the DT A52264 505 244 first first JJ A52264 505 245 a a NN A52264 505 246 , , , A52264 505 247 and and CC A52264 505 248 the the DT A52264 505 249 second second JJ A52264 505 250 e e NNP A52264 505 251 , , , A52264 505 252 that that IN A52264 505 253 so so RB A52264 505 254 the the DT A52264 505 255 method method NN A52264 505 256 of of IN A52264 505 257 the the DT A52264 505 258 work work NN A52264 505 259 may may MD A52264 505 260 the the DT A52264 505 261 better well RBR A52264 505 262 be be VB A52264 505 263 seen see VBN A52264 505 264 in in IN A52264 505 265 the the DT A52264 505 266 margine margine NN A52264 505 267 , , , A52264 505 268 and and CC A52264 505 269 I -PRON- PRP A52264 505 270 set set VBP A52264 505 271 3 3 CD A52264 505 272 aae aae CC A52264 505 273 , , , A52264 505 274 that that RB A52264 505 275 is is RB A52264 505 276 , , , A52264 505 277 3 3 CD A52264 505 278 , , , A52264 505 279 the the DT A52264 505 280 square square NN A52264 505 281 of of IN A52264 505 282 the the DT A52264 505 283 first first JJ A52264 505 284 figure figure NN A52264 505 285 noted note VBN A52264 505 286 with with IN A52264 505 287 the the DT A52264 505 288 letter letter NN A52264 505 289 a a DT A52264 505 290 , , , A52264 505 291 viz viz NN A52264 505 292 . . . A52264 506 1 1 1 LS A52264 506 2 . . . A52264 506 3 multiplied multiply VBN A52264 506 4 by by IN A52264 506 5 the the DT A52264 506 6 second second JJ A52264 506 7 figure figure NN A52264 506 8 , , , A52264 506 9 noted note VBN A52264 506 10 with with IN A52264 506 11 the the DT A52264 506 12 letter letter NN A52264 506 13 ( ( -LRB- A52264 506 14 e e NNP A52264 506 15 ) ) -RRB- A52264 506 16 to to IN A52264 506 17 wit wit NN A52264 506 18 , , , A52264 506 19 7 7 CD A52264 506 20 , , , A52264 506 21 under under IN A52264 506 22 the the DT A52264 506 23 first first JJ A52264 506 24 figure figure NN A52264 506 25 of of IN A52264 506 26 the the DT A52264 506 27 next next JJ A52264 506 28 cube cube NN A52264 506 29 , , , A52264 506 30 now now RB A52264 506 31 the the DT A52264 506 32 square square NN A52264 506 33 of of IN A52264 506 34 ( ( -LRB- A52264 506 35 a a LS A52264 506 36 ) ) -RRB- A52264 506 37 that that RB A52264 506 38 is is RB A52264 506 39 , , , A52264 506 40 of of IN A52264 506 41 one one CD A52264 506 42 is be VBZ A52264 506 43 one one CD A52264 506 44 , , , A52264 506 45 and and CC A52264 506 46 the the DT A52264 506 47 triple triple NN A52264 506 48 of of IN A52264 506 49 this this DT A52264 506 50 square square NN A52264 506 51 is be VBZ A52264 506 52 3 3 CD A52264 506 53 , , , A52264 506 54 and and CC A52264 506 55 3 3 CD A52264 506 56 times time NNS A52264 506 57 7 7 CD A52264 506 58 is be VBZ A52264 506 59 21 21 CD A52264 506 60 , , , A52264 506 61 which which WDT A52264 506 62 is be VBZ A52264 506 63 ( ( -LRB- A52264 506 64 3 3 CD A52264 506 65 aae aae CC A52264 506 66 ) ) -RRB- A52264 506 67 or or CC A52264 506 68 thrice thrice NN A52264 506 69 ( ( -LRB- A52264 506 70 a a DT A52264 506 71 ) ) -RRB- A52264 506 72 square square NN A52264 506 73 in in IN A52264 506 74 e e NNP A52264 506 75 , , , A52264 506 76 the the DT A52264 506 77 last last JJ A52264 506 78 figure figure NN A52264 506 79 whereof whereof NNP A52264 506 80 , , , A52264 506 81 to to IN A52264 506 82 wit wit NN A52264 506 83 , , , A52264 506 84 one one CD A52264 506 85 , , , A52264 506 86 I -PRON- PRP A52264 506 87 place place VBP A52264 506 88 under under IN A52264 506 89 6 6 CD A52264 506 90 , , , A52264 506 91 the the DT A52264 506 92 first first JJ A52264 506 93 figure figure NN A52264 506 94 of of IN A52264 506 95 the the DT A52264 506 96 next next JJ A52264 506 97 cube cube NN A52264 506 98 638 638 CD A52264 506 99 : : : A52264 506 100 next next RB A52264 506 101 I -PRON- PRP A52264 506 102 set set VBP A52264 506 103 ( ( -LRB- A52264 506 104 3 3 CD A52264 506 105 aee aee UH A52264 506 106 ) ) -RRB- A52264 506 107 that that RB A52264 506 108 is is RB A52264 506 109 , , , A52264 506 110 three three CD A52264 506 111 times time NNS A52264 506 112 one one CD A52264 506 113 multiplied multiply VBN A52264 506 114 by by IN A52264 506 115 the the DT A52264 506 116 square square NN A52264 506 117 of of IN A52264 506 118 7 7 CD A52264 506 119 , , , A52264 506 120 that that RB A52264 506 121 is is RB A52264 506 122 , , , A52264 506 123 3 3 CD A52264 506 124 multiplied multiply VBN A52264 506 125 by by IN A52264 506 126 49 49 CD A52264 506 127 , , , A52264 506 128 which which WDT A52264 506 129 is be VBZ A52264 506 130 1 1 CD A52264 506 131 ● ● NFP A52264 506 132 ● ● NFP A52264 506 133 under under IN A52264 506 134 the the DT A52264 506 135 2 2 CD A52264 506 136 figure figure NN A52264 506 137 of of IN A52264 506 138 the the DT A52264 506 139 cube cube NN A52264 506 140 638 638 CD A52264 506 141 : : : A52264 506 142 and and CC A52264 506 143 lastly lastly RB A52264 506 144 , , , A52264 506 145 I -PRON- PRP A52264 506 146 set set VBP A52264 506 147 ( ( -LRB- A52264 506 148 eee eee NNP A52264 506 149 , , , A52264 506 150 that that DT A52264 506 151 is is RB A52264 506 152 ) ) -RRB- A52264 506 153 the the DT A52264 506 154 cube cube NNP A52264 506 155 of of IN A52264 506 156 e e NNP A52264 506 157 , , , A52264 506 158 that that RB A52264 506 159 is is RB A52264 506 160 , , , A52264 506 161 the the DT A52264 506 162 cube cube NNP A52264 506 163 of of IN A52264 506 164 7 7 CD A52264 506 165 , , , A52264 506 166 viz viz NN A52264 506 167 . . . A52264 507 1 343 343 CD A52264 507 2 , , , A52264 507 3 under under IN A52264 507 4 the the DT A52264 507 5 last last JJ A52264 507 6 figure figure NN A52264 507 7 of of IN A52264 507 8 the the DT A52264 507 9 cube cube NNP A52264 507 10 638 638 CD A52264 507 11 , , , A52264 507 12 and and CC A52264 507 13 these these DT A52264 507 14 3 3 CD A52264 507 15 sums sum NNS A52264 507 16 added add VBN A52264 507 17 together together RB A52264 507 18 do do VBP A52264 507 19 make make VB A52264 507 20 3 3 CD A52264 507 21 ● ● NFP A52264 507 22 ● ● CD A52264 507 23 3 3 CD A52264 507 24 , , , A52264 507 25 which which WDT A52264 507 26 being be VBG A52264 507 27 substracted substracte VBN A52264 507 28 from from IN A52264 507 29 the the DT A52264 507 30 triple triple JJ A52264 507 31 root root NN A52264 507 32 , , , A52264 507 33 that that RB A52264 507 34 is is RB A52264 507 35 , , , A52264 507 36 from from IN A52264 507 37 21 21 CD A52264 507 38 , , , A52264 507 39 supposing suppose VBG A52264 507 40 ciphers cipher NNS A52264 507 41 to to TO A52264 507 42 be be VB A52264 507 43 thereunto thereunto NNS A52264 507 44 annexed annex VBN A52264 507 45 , , , A52264 507 46 as as IN A52264 507 47 before before RB A52264 507 48 , , , A52264 507 49 there there EX A52264 507 50 will will MD A52264 507 51 remain remain VB A52264 507 52 〈 〈 NNP A52264 507 53 … … NFP A52264 507 54 〉 〉 NNP A52264 507 55 , , , A52264 507 56 and and CC A52264 507 57 because because IN A52264 507 58 this this DT A52264 507 59 may may MD A52264 507 60 be be VB A52264 507 61 subtracted subtract VBN A52264 507 62 from from IN A52264 507 63 the the DT A52264 507 64 2d 2d CD A52264 507 65 . . . A52264 508 1 cube cube NNP A52264 508 2 , , , A52264 508 3 & & CC A52264 508 4 the the DT A52264 508 5 remainer remainer NN A52264 508 6 of of IN A52264 508 7 the the DT A52264 508 8 first first JJ A52264 508 9 , , , A52264 508 10 I -PRON- PRP A52264 508 11 finde finde VBP A52264 508 12 that that DT A52264 508 13 7 7 CD A52264 508 14 is be VBZ A52264 508 15 the the DT A52264 508 16 true true JJ A52264 508 17 figure figure NN A52264 508 18 to to TO A52264 508 19 be be VB A52264 508 20 placed place VBN A52264 508 21 in in IN A52264 508 22 the the DT A52264 508 23 quotient quotient NN A52264 508 24 , , , A52264 508 25 and and CC A52264 508 26 such such PDT A52264 508 27 a a DT A52264 508 28 subtraction subtraction NN A52264 508 29 being be VBG A52264 508 30 made make VBN A52264 508 31 , , , A52264 508 32 the the DT A52264 508 33 remainer remainer NN A52264 508 34 will will MD A52264 508 35 be be VB A52264 508 36 12511 12511 CD A52264 508 37 , , , A52264 508 38 and and CC A52264 508 39 so so RB A52264 508 40 have have VBP A52264 508 41 I -PRON- PRP A52264 508 42 wrote write VBN A52264 508 43 twice twice RB A52264 508 44 . . . A52264 509 1 The the DT A52264 509 2 work work NN A52264 509 3 following following NN A52264 509 4 must must MD A52264 509 5 be be VB A52264 509 6 done do VBN A52264 509 7 in in IN A52264 509 8 all all DT A52264 509 9 things thing NNS A52264 509 10 , , , A52264 509 11 as as IN A52264 509 12 this this DT A52264 509 13 second second JJ A52264 509 14 , , , A52264 509 15 save save VB A52264 509 16 onely onely RB A52264 509 17 in in IN A52264 509 18 this this DT A52264 509 19 particular particular JJ A52264 509 20 , , , A52264 509 21 that that IN A52264 509 22 both both CC A52264 509 23 the the DT A52264 509 24 figures figure NNS A52264 509 25 in in IN A52264 509 26 the the DT A52264 509 27 quotient quotient NN A52264 509 28 are be VBP A52264 509 29 reckoned reckon VBN A52264 509 30 but but CC A52264 509 31 as as IN A52264 509 32 one one CD A52264 509 33 , , , A52264 509 34 which which WDT A52264 509 35 for for IN A52264 509 36 distinction distinction NN A52264 509 37 sake sake NN A52264 509 38 I -PRON- PRP A52264 509 39 called call VBD A52264 509 40 a a DT A52264 509 41 , , , A52264 509 42 and and CC A52264 509 43 the the DT A52264 509 44 figure figure NN A52264 509 45 to to TO A52264 509 46 be be VB A52264 509 47 found find VBN A52264 509 48 by by IN A52264 509 49 division division NN A52264 509 50 I -PRON- PRP A52264 509 51 called call VBD A52264 509 52 e e NNP A52264 509 53 , , , A52264 509 54 and and CC A52264 509 55 therefore therefore RB A52264 509 56 in in IN A52264 509 57 this this DT A52264 509 58 third third JJ A52264 509 59 work work NN A52264 509 60 3 3 CD A52264 509 61 aa aa CC A52264 509 62 , , , A52264 509 63 or or CC A52264 509 64 thrice thrice VB A52264 509 65 a a DT A52264 509 66 square square NN A52264 509 67 is be VBZ A52264 509 68 the the DT A52264 509 69 square square NN A52264 509 70 of of IN A52264 509 71 17 17 CD A52264 509 72 , , , A52264 509 73 that that RB A52264 509 74 is is RB A52264 509 75 289 289 CD A52264 509 76 , , , A52264 509 77 3 3 CD A52264 509 78 a a NN A52264 509 79 or or CC A52264 509 80 thrice thrice NN A52264 509 81 a a DT A52264 509 82 is be VBZ A52264 509 83 3 3 CD A52264 509 84 times time NNS A52264 509 85 17 17 CD A52264 509 86 , , , A52264 509 87 that that RB A52264 509 88 is is RB A52264 509 89 , , , A52264 509 90 51 51 CD A52264 509 91 , , , A52264 509 92 and and CC A52264 509 93 so so RB A52264 509 94 of of IN A52264 509 95 the the DT A52264 509 96 rest rest NN A52264 509 97 , , , A52264 509 98 in in IN A52264 509 99 the the DT A52264 509 100 fourth fourth JJ A52264 509 101 work work NN A52264 509 102 the the DT A52264 509 103 three three CD A52264 509 104 first first JJ A52264 509 105 figures figure NNS A52264 509 106 must must MD A52264 509 107 be be VB A52264 509 108 called call VBN A52264 509 109 a a DT A52264 509 110 , , , A52264 509 111 in in IN A52264 509 112 the the DT A52264 509 113 fifth fifth JJ A52264 509 114 work work NN A52264 509 115 the the DT A52264 509 116 four four CD A52264 509 117 first first JJ A52264 509 118 figures figure NNS A52264 509 119 found find VBN A52264 509 120 , , , A52264 509 121 and and CC A52264 509 122 so so RB A52264 509 123 forward forward RB A52264 509 124 , , , A52264 509 125 till till IN A52264 509 126 you -PRON- PRP A52264 509 127 have have VBP A52264 509 128 finished finish VBN A52264 509 129 your -PRON- PRP$ A52264 509 130 division division NN A52264 509 131 , , , A52264 509 132 and and CC A52264 509 133 therefore therefore RB A52264 509 134 this this DT A52264 509 135 second second JJ A52264 509 136 manner manner NN A52264 509 137 of of IN A52264 509 138 working work VBG A52264 509 139 being be VBG A52264 509 140 well well RB A52264 509 141 observed observe VBN A52264 509 142 , , , A52264 509 143 there there EX A52264 509 144 can can MD A52264 509 145 be be VB A52264 509 146 no no DT A52264 509 147 difficulty difficulty NN A52264 509 148 in in IN A52264 509 149 that that DT A52264 509 150 which which WDT A52264 509 151 followes follow VBZ A52264 509 152 . . . A52264 510 1 32 32 CD A52264 510 2 . . . A52264 511 1 The the DT A52264 511 2 subtense subtense NN A52264 511 3 of of IN A52264 511 4 an an DT A52264 511 5 arch arch NN A52264 511 6 being being NN A52264 511 7 given give VBN A52264 511 8 to to IN A52264 511 9 finde finde NNP A52264 511 10 the the DT A52264 511 11 subtense subtense NN A52264 511 12 of of IN A52264 511 13 the the DT A52264 511 14 arch arch JJ A52264 511 15 quintuple quintuple NN A52264 511 16 , , , A52264 511 17 or or CC A52264 511 18 of of IN A52264 511 19 an an DT A52264 511 20 arch arch JJ A52264 511 21 five five CD A52264 511 22 times time NNS A52264 511 23 as as RB A52264 511 24 much much RB A52264 511 25 . . . A52264 512 1 The the DT A52264 512 2 Rule Rule NNP A52264 512 3 . . . A52264 513 1 From from IN A52264 513 2 the the DT A52264 513 3 product product NN A52264 513 4 of of IN A52264 513 5 the the DT A52264 513 6 subtense subtense NN A52264 513 7 given give VBN A52264 513 8 , , , A52264 513 9 multiplied multiply VBN A52264 513 10 by by IN A52264 513 11 5 5 CD A52264 513 12 times time NNS A52264 513 13 Radius Radius NNP A52264 513 14 square square JJ A52264 513 15 square square NN A52264 513 16 , , , A52264 513 17 subtract subtract VB A52264 513 18 the the DT A52264 513 19 cube cube NN A52264 513 20 of of IN A52264 513 21 the the DT A52264 513 22 subtense subtense NN A52264 513 23 given give VBN A52264 513 24 multiplied multiply VBN A52264 513 25 by by IN A52264 513 26 5 5 CD A52264 513 27 times time NNS A52264 513 28 Radius Radius NNP A52264 513 29 square square NN A52264 513 30 , , , A52264 513 31 the the DT A52264 513 32 squared square VBN A52264 513 33 cube cube NNP A52264 513 34 of of IN A52264 513 35 the the DT A52264 513 36 subtense subtense NN A52264 513 37 given give VBN A52264 513 38 being be VBG A52264 513 39 first first RB A52264 513 40 added add VBN A52264 513 41 thereunto thereunto NNS A52264 513 42 , , , A52264 513 43 the the DT A52264 513 44 remainer remainer NN A52264 513 45 divided divide VBN A52264 513 46 by by IN A52264 513 47 Radius Radius NNP A52264 513 48 square square JJ A52264 513 49 square square NN A52264 513 50 , , , A52264 513 51 shall shall MD A52264 513 52 leave leave VB A52264 513 53 in in IN A52264 513 54 the the DT A52264 513 55 quotient quotient NN A52264 513 56 the the DT A52264 513 57 subtense subtense NN A52264 513 58 of of IN A52264 513 59 the the DT A52264 513 60 arch arch JJ A52264 513 61 quintuple quintuple NN A52264 513 62 , , , A52264 513 63 or or CC A52264 513 64 the the DT A52264 513 65 arch arch NN A52264 513 66 5 5 CD A52264 513 67 times time NNS A52264 513 68 as as RB A52264 513 69 much much RB A52264 513 70 . . . A52264 514 1 The the DT A52264 514 2 reason reason NN A52264 514 3 of of IN A52264 514 4 the the DT A52264 514 5 Rule Rule NNP A52264 514 6 . . . A52264 515 1 Multiply multiply VB A52264 515 2 the the DT A52264 515 3 numerator numerator NN A52264 515 4 of of IN A52264 515 5 the the DT A52264 515 6 fractions fraction NNS A52264 515 7 in in IN A52264 515 8 the the DT A52264 515 9 second second JJ A52264 515 10 place place NN A52264 515 11 by by IN A52264 515 12 the the DT A52264 515 13 numerator numerator NN A52264 515 14 of of IN A52264 515 15 the the DT A52264 515 16 fraction fraction NN A52264 515 17 in in IN A52264 515 18 the the DT A52264 515 19 third third JJ A52264 515 20 , , , A52264 515 21 and and CC A52264 515 22 their -PRON- PRP$ A52264 515 23 product product NN A52264 515 24 will will MD A52264 515 25 be be VB A52264 515 26 a a DT A52264 515 27 new new JJ A52264 515 28 numerator numerator NN A52264 515 29 , , , A52264 515 30 the the DT A52264 515 31 numerator numerator NN A52264 515 32 of of IN A52264 515 33 the the DT A52264 515 34 fraction fraction NN A52264 515 35 in in IN A52264 515 36 the the DT A52264 515 37 second second JJ A52264 515 38 term term NN A52264 515 39 is be VBZ A52264 515 40 2 2 CD A52264 515 41 Rad Rad NNP A52264 515 42 . . . A52264 516 1 − − NNP A52264 516 2 AO AO NNP A52264 516 3 aa aa NNP A52264 516 4 And and CC A52264 516 5 in in IN A52264 516 6 the the DT A52264 516 7 third third JJ A52264 516 8 , , , A52264 516 9 3 3 CD A52264 516 10 Rad Rad NNP A52264 516 11 . . . A52264 517 1 aa aa NNP A52264 517 2 × × NNP A52264 517 3 AO AO NNP A52264 517 4 − − NNP A52264 517 5 AO AO NNP A52264 517 6 aaa aaa NN A52264 517 7 That that DT A52264 517 8 one one CD A52264 517 9 of of IN A52264 517 10 these these DT A52264 517 11 termes terme NNS A52264 517 12 may may MD A52264 517 13 be be VB A52264 517 14 the the DT A52264 517 15 better well RBR A52264 517 16 multiplied multiply VBN A52264 517 17 by by IN A52264 517 18 the the DT A52264 517 19 other other JJ A52264 517 20 , , , A52264 517 21 the the DT A52264 517 22 first first JJ A52264 517 23 of of IN A52264 517 24 the the DT A52264 517 25 second second JJ A52264 517 26 term term NN A52264 517 27 , , , A52264 517 28 2 2 CD A52264 517 29 Rad Rad NNP A52264 517 30 . . . A52264 518 1 must must MD A52264 518 2 be be VB A52264 518 3 reduced reduce VBN A52264 518 4 into into IN A52264 518 5 an an DT A52264 518 6 improper improper JJ A52264 518 7 fraction fraction NN A52264 518 8 , , , A52264 518 9 by by IN A52264 518 10 the the DT A52264 518 11 multiplication multiplication NN A52264 518 12 thereof thereof IN A52264 518 13 by by IN A52264 518 14 Radius Radius NNP A52264 518 15 , , , A52264 518 16 the the DT A52264 518 17 denominator denominator NN A52264 518 18 of of IN A52264 518 19 that that DT A52264 518 20 fraction fraction NN A52264 518 21 , , , A52264 518 22 and and CC A52264 518 23 then then RB A52264 518 24 the the DT A52264 518 25 2d 2d CD A52264 518 26 . . . A52264 519 1 term term NN A52264 519 2 will will MD A52264 519 3 be be VB A52264 519 4 2 2 CD A52264 519 5 Rad Rad NNP A52264 519 6 . . . A52264 520 1 aa aa NNP A52264 520 2 − − NNP A52264 520 3 AO AO NNP A52264 520 4 aa aa NNP A52264 520 5 , , , A52264 520 6 and and CC A52264 520 7 because because IN A52264 520 8 this this DT A52264 520 9 second second JJ A52264 520 10 term term NN A52264 520 11 is be VBZ A52264 520 12 the the DT A52264 520 13 lesse lesse NN A52264 520 14 , , , A52264 520 15 we -PRON- PRP A52264 520 16 will will MD A52264 520 17 multiply multiply VB A52264 520 18 the the DT A52264 520 19 third third JJ A52264 520 20 thereby thereby RB A52264 520 21 , , , A52264 520 22 the the DT A52264 520 23 work work NN A52264 520 24 stands stand VBZ A52264 520 25 thus thus RB A52264 520 26 : : : A52264 520 27 Thrice Thrice NNP A52264 520 28 Radius Radius NNP A52264 520 29 square square NN A52264 520 30 in in IN A52264 520 31 AO AO NNP A52264 520 32 multiplied multiply VBN A52264 520 33 by by IN A52264 520 34 twice twice PDT A52264 520 35 Radius Radius NNP A52264 520 36 square square NN A52264 520 37 , , , A52264 520 38 doth doth NN A52264 520 39 make make VBP A52264 520 40 6 6 CD A52264 520 41 Rad Rad NNP A52264 520 42 . . . A52264 521 1 square square JJ A52264 521 2 squares square NNS A52264 521 3 , , , A52264 521 4 and and CC A52264 521 5 AO AO NNP A52264 521 6 cube cube NN A52264 521 7 multiplied multiply VBN A52264 521 8 by by IN A52264 521 9 2 2 CD A52264 521 10 Radius Radius NNP A52264 521 11 square square NN A52264 521 12 is be VBZ A52264 521 13 2 2 CD A52264 521 14 Rad Rad NNP A52264 521 15 . . . A52264 522 1 square square NN A52264 522 2 in in IN A52264 522 3 AO AO NNP A52264 522 4 cube cube NN A52264 522 5 , , , A52264 522 6 and and CC A52264 522 7 because because IN A52264 522 8 it -PRON- PRP A52264 522 9 hath hath VBP A52264 522 10 the the DT A52264 522 11 signe signe NN A52264 522 12 lesse lesse NN A52264 522 13 , , , A52264 522 14 therefore therefore RB A52264 522 15 the the DT A52264 522 16 first first JJ A52264 522 17 product product NN A52264 522 18 is be VBZ A52264 522 19 6 6 CD A52264 522 20 Rad Rad NNP A52264 522 21 . . . A52264 523 1 aaaa aaaa NNP A52264 523 2 × × NNP A52264 523 3 AO AO NNP A52264 523 4 − − NNP A52264 523 5 2 2 CD A52264 523 6 Rad Rad NNP A52264 523 7 . . . A52264 524 1 aa aa NNP A52264 524 2 × × NNP A52264 524 3 AO AO NNP A52264 524 4 aaa aaa NN A52264 524 5 . . . A52264 525 1 Again again RB A52264 525 2 , , , A52264 525 3 3 3 CD A52264 525 4 R. R. NNP A52264 525 5 aa aa NN A52264 525 6 in in IN A52264 525 7 AO AO NNP A52264 525 8 , , , A52264 525 9 multiplied multiply VBN A52264 525 10 by by IN A52264 525 11 AO AO NNP A52264 525 12 aa aa NNP A52264 525 13 , , , A52264 525 14 doth doth NNP A52264 525 15 make make VBP A52264 525 16 3 3 CD A52264 525 17 R. R. NNP A52264 525 18 aa aa NN A52264 525 19 in in IN A52264 525 20 AO AO NNP A52264 525 21 aaa aaa NN A52264 525 22 , , , A52264 525 23 & & CC A52264 525 24 AO AO NNP A52264 525 25 aa aa NNP A52264 525 26 multiplied multiply VBN A52264 525 27 by by IN A52264 525 28 AO AO NNP A52264 525 29 aaa aaa NN A52264 525 30 , , , A52264 525 31 doth doth NN A52264 525 32 make make VB A52264 525 33 AO AO NNP A52264 525 34 aaaaa aaaaa JJ A52264 525 35 , , , A52264 525 36 & & CC A52264 525 37 because because IN A52264 525 38 it -PRON- PRP A52264 525 39 hath hath VBP A52264 525 40 the the DT A52264 525 41 sign sign NN A52264 525 42 less less RBR A52264 525 43 , , , A52264 525 44 therefore therefore RB A52264 525 45 the the DT A52264 525 46 2 2 CD A52264 525 47 . . . A52264 525 48 product product NN A52264 525 49 is be VBZ A52264 525 50 3 3 CD A52264 525 51 R. R. NNP A52264 525 52 square square NN A52264 525 53 × × NN A52264 525 54 AO AO NNP A52264 525 55 aaa aaa NN A52264 525 56 + + SYM A52264 525 57 AO AO NNP A52264 525 58 aaaaa aaaaa NN A52264 525 59 , , , A52264 525 60 and and CC A52264 525 61 so so RB A52264 525 62 both both PDT A52264 525 63 the the DT A52264 525 64 products product NNS A52264 525 65 will will MD A52264 525 66 be be VB A52264 525 67 6 6 CD A52264 525 68 Rad Rad NNP A52264 525 69 . . . A52264 526 1 square square NN A52264 526 2 of of IN A52264 526 3 squares square NNS A52264 526 4 multiplied multiply VBN A52264 526 5 by by IN A52264 526 6 AO AO NNP A52264 526 7 lesse lesse NN A52264 526 8 by by IN A52264 526 9 5 5 CD A52264 526 10 Rad Rad NNP A52264 526 11 . . . A52264 527 1 square square NN A52264 527 2 in in IN A52264 527 3 AO AO NNP A52264 527 4 cube cube NN A52264 527 5 more more JJR A52264 527 6 by by IN A52264 527 7 AO AO NNP A52264 527 8 square square JJ A52264 527 9 cube cube NN A52264 527 10 . . . A52264 528 1 And and CC A52264 528 2 if if IN A52264 528 3 you -PRON- PRP A52264 528 4 multiply multiply VBP A52264 528 5 Rad Rad NNP A52264 528 6 . . . A52264 529 1 square square NNP A52264 529 2 , , , A52264 529 3 the the DT A52264 529 4 denominator denominator NN A52264 529 5 of of IN A52264 529 6 the the DT A52264 529 7 third third JJ A52264 529 8 term term NN A52264 529 9 by by IN A52264 529 10 Rad Rad NNP A52264 529 11 . . . A52264 530 1 the the DT A52264 530 2 denominator denominator NN A52264 530 3 of of IN A52264 530 4 the the DT A52264 530 5 second second JJ A52264 530 6 , , , A52264 530 7 the the DT A52264 530 8 product product NN A52264 530 9 will will MD A52264 530 10 be be VB A52264 530 11 Rad Rad NNP A52264 530 12 . . . A52264 531 1 cube cube NNP A52264 531 2 , , , A52264 531 3 and and CC A52264 531 4 the the DT A52264 531 5 whole whole JJ A52264 531 6 product product NN A52264 531 7 will will MD A52264 531 8 stand stand VB A52264 531 9 thus thus RB A52264 531 10 , , , A52264 531 11 To to TO A52264 531 12 divide divide VB A52264 531 13 this this DT A52264 531 14 product product NN A52264 531 15 by by IN A52264 531 16 twice twice JJ A52264 531 17 Radius radius NN A52264 531 18 , , , A52264 531 19 twice twice RB A52264 531 20 Radius radius NN A52264 531 21 being be VBG A52264 531 22 a a DT A52264 531 23 whole whole JJ A52264 531 24 number number NN A52264 531 25 must must MD A52264 531 26 be be VB A52264 531 27 first first RB A52264 531 28 reduced reduce VBN A52264 531 29 into into IN A52264 531 30 an an DT A52264 531 31 improper improper JJ A52264 531 32 fraction fraction NN A52264 531 33 , , , A52264 531 34 by by IN A52264 531 35 subscribing subscribe VBG A52264 531 36 an an DT A52264 531 37 unite unite NN A52264 531 38 thus thus RB A52264 531 39 , , , A52264 531 40 . . . A52264 532 1 then then RB A52264 532 2 if if IN A52264 532 3 you -PRON- PRP A52264 532 4 multiply multiply VBP A52264 532 5 the the DT A52264 532 6 numerator numerator NN A52264 532 7 of of IN A52264 532 8 the the DT A52264 532 9 product product NN A52264 532 10 by by IN A52264 532 11 one one CD A52264 532 12 , , , A52264 532 13 the the DT A52264 532 14 denominator denominator NN A52264 532 15 of of IN A52264 532 16 this this DT A52264 532 17 fraction fraction NN A52264 532 18 , , , A52264 532 19 the the DT A52264 532 20 product product NN A52264 532 21 will will MD A52264 532 22 be be VB A52264 532 23 still still RB A52264 532 24 the the DT A52264 532 25 same same JJ A52264 532 26 , , , A52264 532 27 and and CC A52264 532 28 if if IN A52264 532 29 you -PRON- PRP A52264 532 30 multiply multiply VBP A52264 532 31 the the DT A52264 532 32 denominator denominator NN A52264 532 33 of of IN A52264 532 34 the the DT A52264 532 35 product product NN A52264 532 36 Rad Rad NNP A52264 532 37 . . . A52264 533 1 aaa aaa NNP A52264 533 2 by by IN A52264 533 3 2 2 CD A52264 533 4 Radius Radius NNP A52264 533 5 , , , A52264 533 6 the the DT A52264 533 7 numerator numerator NN A52264 533 8 of of IN A52264 533 9 this this DT A52264 533 10 improper improper JJ A52264 533 11 fraction fraction NN A52264 533 12 , , , A52264 533 13 the the DT A52264 533 14 product product NN A52264 533 15 will will MD A52264 533 16 be be VB A52264 533 17 2 2 CD A52264 533 18 Rad Rad NNP A52264 533 19 . . . A52264 534 1 square square NNP A52264 534 2 square square NNP A52264 534 3 for for IN A52264 534 4 a a DT A52264 534 5 new new JJ A52264 534 6 denominator denominator NN A52264 534 7 , , , A52264 534 8 and and CC A52264 534 9 the the DT A52264 534 10 Quotient Quotient NNP A52264 534 11 will will MD A52264 534 12 be be VB A52264 534 13 the the DT A52264 534 14 quantity quantity NN A52264 534 15 of of IN A52264 534 16 the the DT A52264 534 17 right right JJ A52264 534 18 line line NN A52264 534 19 OT OT NNP A52264 534 20 , , , A52264 534 21 the the DT A52264 534 22 double double JJ A52264 534 23 whereof whereof NN A52264 534 24 is be VBZ A52264 534 25 which which WDT A52264 534 26 is be VBZ A52264 534 27 the the DT A52264 534 28 quantity quantity NN A52264 534 29 of of IN A52264 534 30 the the DT A52264 534 31 right right JJ A52264 534 32 line line NN A52264 534 33 OE oe IN A52264 534 34 more more JJR A52264 534 35 by by IN A52264 534 36 CB CB NNP A52264 534 37 , , , A52264 534 38 and and CC A52264 534 39 therefore therefore RB A52264 534 40 CB CB NNP A52264 534 41 or or CC A52264 534 42 AO AO NNP A52264 534 43 being be VBG A52264 534 44 deducted deduct VBN A52264 534 45 , , , A52264 534 46 the the DT A52264 534 47 remainer remainer NN A52264 534 48 will will MD A52264 534 49 be be VB A52264 534 50 the the DT A52264 534 51 right right JJ A52264 534 52 line line NN A52264 534 53 OE OE NNP A52264 534 54 , , , A52264 534 55 which which WDT A52264 534 56 is be VBZ A52264 534 57 the the DT A52264 534 58 quintuplation quintuplation NN A52264 534 59 of of IN A52264 534 60 an an DT A52264 534 61 angle angle NN A52264 534 62 , , , A52264 534 63 and and CC A52264 534 64 to to IN A52264 534 65 this this DT A52264 534 66 end end NN A52264 534 67 AO AO NNP A52264 534 68 must must MD A52264 534 69 be be VB A52264 534 70 reduced reduce VBN A52264 534 71 into into IN A52264 534 72 an an DT A52264 534 73 improper improper JJ A52264 534 74 fraction fraction NN A52264 534 75 of of IN A52264 534 76 the the DT A52264 534 77 same same JJ A52264 534 78 denomination denomination NN A52264 534 79 , , , A52264 534 80 that that RB A52264 534 81 is is RB A52264 534 82 , , , A52264 534 83 by by IN A52264 534 84 multiplying multiply VBG A52264 534 85 thereof thereof RB A52264 534 86 by by IN A52264 534 87 2 2 CD A52264 534 88 Rad Rad NNP A52264 534 89 . . . A52264 535 1 aaaa aaaa NNP A52264 535 2 , , , A52264 535 3 and and CC A52264 535 4 then then RB A52264 535 5 the the DT A52264 535 6 fraction fraction NN A52264 535 7 will will MD A52264 535 8 be be VB A52264 535 9 and and CC A52264 535 10 this this DT A52264 535 11 being be VBG A52264 535 12 deducted deduct VBN A52264 535 13 from from IN A52264 535 14 the the DT A52264 535 15 remainer remainer NN A52264 535 16 will will MD A52264 535 17 be be VB A52264 535 18 . . . A52264 536 1 And and CC A52264 536 2 this this DT A52264 536 3 reduced reduce VBN A52264 536 4 into into IN A52264 536 5 its -PRON- PRP$ A52264 536 6 least least JJS A52264 536 7 terms term NNS A52264 536 8 , , , A52264 536 9 will will MD A52264 536 10 be be VB A52264 536 11 , , , A52264 536 12 which which WDT A52264 536 13 was be VBD A52264 536 14 to to TO A52264 536 15 be be VB A52264 536 16 proved prove VBN A52264 536 17 . . . A52264 537 1 For for IN A52264 537 2 example example NN A52264 537 3 . . . A52264 538 1 Let let VB A52264 538 2 AO AO NNP A52264 538 3 or or CC A52264 538 4 AB AB NNP A52264 538 5 349048 349048 CD A52264 538 6 , , , A52264 538 7 the the DT A52264 538 8 subtense subtense NN A52264 538 9 of of IN A52264 538 10 2 2 CD A52264 538 11 degrees degree NNS A52264 538 12 be be VB A52264 538 13 given give VBN A52264 538 14 , , , A52264 538 15 and and CC A52264 538 16 let let VB A52264 538 17 the the DT A52264 538 18 subtense subtense NN A52264 538 19 of of IN A52264 538 20 10 10 CD A52264 538 21 degrees degree NNS A52264 538 22 be be VB A52264 538 23 demanded demand VBN A52264 538 24 , , , A52264 538 25 5 5 CD A52264 538 26 times time NNS A52264 538 27 Radius Radius NNP A52264 538 28 square square JJ A52264 538 29 square square NN A52264 538 30 is be VBZ A52264 538 31 50000000.000000.00000 50000000.000000.00000 NNP A52264 538 32 00.0000000 00.0000000 CD A52264 538 33 . . . A52264 539 1 by by IN A52264 539 2 which which WDT A52264 539 3 if if IN A52264 539 4 you -PRON- PRP A52264 539 5 multiply multiply VBP A52264 539 6 the the DT A52264 539 7 subtense subtense NN A52264 539 8 given give VBN A52264 539 9 , , , A52264 539 10 the the DT A52264 539 11 product product NN A52264 539 12 will will MD A52264 539 13 be be VB A52264 539 14 1745240 1745240 CD A52264 539 15 0000000.0000000.0000000.0000000 0000000.0000000.0000000.0000000 NNP A52264 539 16 . . . A52264 540 1 The the DT A52264 540 2 Cube Cube NNP A52264 540 3 of of IN A52264 540 4 the the DT A52264 540 5 subtense subtense NN A52264 540 6 given give VBN A52264 540 7 multiplied multiply VBN A52264 540 8 by by IN A52264 540 9 5 5 CD A52264 540 10 times time NNS A52264 540 11 Radius Radius NNP A52264 540 12 square square NN A52264 540 13 is be VBZ A52264 540 14 212630453781992960 212630453781992960 CD A52264 540 15 . . . A52264 541 1 0000000.0000000 0000000.0000000 CD A52264 541 2 . . . A52264 542 1 the the DT A52264 542 2 squared square VBN A52264 542 3 cube cube NNP A52264 542 4 of of IN A52264 542 5 the the DT A52264 542 6 subtense subtense NN A52264 542 7 given give VBN A52264 542 8 is be VBZ A52264 542 9 5184639242824921385360723968 5184639242824921385360723968 CD A52264 542 10 , , , A52264 542 11 the the DT A52264 542 12 which which WDT A52264 542 13 being be VBG A52264 542 14 added add VBN A52264 542 15 to to IN A52264 542 16 the the DT A52264 542 17 product product NN A52264 542 18 of of IN A52264 542 19 5 5 CD A52264 542 20 Rad Rad NNP A52264 542 21 . . . A52264 543 1 aa aa NNP A52264 543 2 in in IN A52264 543 3 AO AO NNP A52264 543 4 , , , A52264 543 5 that that RB A52264 543 6 is is RB A52264 543 7 , , , A52264 543 8 to to IN A52264 543 9 212630453781992960.0000000.0000000 212630453781992960.0000000.0000000 CD A52264 543 10 the the DT A52264 543 11 summe summe NN A52264 543 12 will will MD A52264 543 13 be be VB A52264 543 14 21268230017442120921385360723968 21268230017442120921385360723968 CD A52264 543 15 . . . A52264 544 1 And and CC A52264 544 2 this this DT A52264 544 3 being be VBG A52264 544 4 subtracted subtract VBN A52264 544 5 from from IN A52264 544 6 the the DT A52264 544 7 product product NN A52264 544 8 of of IN A52264 544 9 the the DT A52264 544 10 subtense subtense NN A52264 544 11 given give VBN A52264 544 12 multiplied multiply VBN A52264 544 13 by by IN A52264 544 14 5 5 CD A52264 544 15 times time NNS A52264 544 16 Radius Radius NNP A52264 544 17 square square JJ A52264 544 18 square square NN A52264 544 19 , , , A52264 544 20 the the DT A52264 544 21 remainer remainer NN A52264 544 22 will will MD A52264 544 23 be be VB A52264 544 24 17431141769982557879078614639276032 17431141769982557879078614639276032 CD A52264 544 25 , , , A52264 544 26 and and CC A52264 544 27 this this DT A52264 544 28 remainer remainer NN A52264 544 29 divided divide VBN A52264 544 30 by by IN A52264 544 31 Radius Radius NNP A52264 544 32 square square JJ A52264 544 33 square square NN A52264 544 34 , , , A52264 544 35 that that RB A52264 544 36 is is RB A52264 544 37 , , , A52264 544 38 cutting cut VBG A52264 544 39 off off RP A52264 544 40 28 28 CD A52264 544 41 figures figure NNS A52264 544 42 , , , A52264 544 43 their -PRON- PRP$ A52264 544 44 quotient quotient NN A52264 544 45 will will MD A52264 544 46 be be VB A52264 544 47 1743114 1743114 CD A52264 544 48 , , , A52264 544 49 the the DT A52264 544 50 subtense subtense NN A52264 544 51 of of IN A52264 544 52 10 10 CD A52264 544 53 degrees degree NNS A52264 544 54 . . . A52264 545 1 33 33 CD A52264 545 2 . . . A52264 546 1 The the DT A52264 546 2 subtense subtense NN A52264 546 3 of of IN A52264 546 4 an an DT A52264 546 5 arch arch NN A52264 546 6 being being NN A52264 546 7 given give VBN A52264 546 8 to to IN A52264 546 9 finde finde NNP A52264 546 10 the the DT A52264 546 11 subtense subtense NN A52264 546 12 of of IN A52264 546 13 the the DT A52264 546 14 fift fift JJ A52264 546 15 part part NN A52264 546 16 of of IN A52264 546 17 the the DT A52264 546 18 arch arch NN A52264 546 19 given give VBN A52264 546 20 . . . A52264 547 1 The the DT A52264 547 2 Rule Rule NNP A52264 547 3 . . . A52264 548 1 Divide divide VB A52264 548 2 the the DT A52264 548 3 subtense subtense NN A52264 548 4 given give VBN A52264 548 5 by by IN A52264 548 6 five five CD A52264 548 7 roots root NNS A52264 548 8 , , , A52264 548 9 lesse lesse NNP A52264 548 10 5 5 CD A52264 548 11 cubes cube NNS A52264 548 12 , , , A52264 548 13 more more JJR A52264 548 14 one one CD A52264 548 15 Quadrato Quadrato NNP A52264 548 16 cube cube NN A52264 548 17 , , , A52264 548 18 the the DT A52264 548 19 quotient quotient NN A52264 548 20 shall shall MD A52264 548 21 be be VB A52264 548 22 the the DT A52264 548 23 fift fift JJ A52264 548 24 part part NN A52264 548 25 of of IN A52264 548 26 the the DT A52264 548 27 arch arch NN A52264 548 28 given give VBN A52264 548 29 . . . A52264 549 1 The the DT A52264 549 2 reason reason NN A52264 549 3 of of IN A52264 549 4 the the DT A52264 549 5 rule rule NN A52264 549 6 depends depend VBZ A52264 549 7 upon upon IN A52264 549 8 the the DT A52264 549 9 foregoing foregoing JJ A52264 549 10 Probleme Probleme NNP A52264 549 11 , , , A52264 549 12 in in IN A52264 549 13 which which WDT A52264 549 14 we -PRON- PRP A52264 549 15 have have VBP A52264 549 16 proved prove VBN A52264 549 17 , , , A52264 549 18 that that IN A52264 549 19 the the DT A52264 549 20 subtense subtense NN A52264 549 21 of of IN A52264 549 22 five five CD A52264 549 23 equall equall NN A52264 549 24 arches arch NNS A52264 549 25 is be VBZ A52264 549 26 equall equall JJ A52264 549 27 to to IN A52264 549 28 5 5 CD A52264 549 29 roots root NNS A52264 549 30 , , , A52264 549 31 lesse lesse NNP A52264 549 32 5 5 CD A52264 549 33 cubes cube NNS A52264 549 34 , , , A52264 549 35 more more JJR A52264 549 36 by by IN A52264 549 37 one one CD A52264 549 38 quadrato quadrato NN A52264 549 39 cube cube NN A52264 549 40 , , , A52264 549 41 of of IN A52264 549 42 which which WDT A52264 549 43 5 5 CD A52264 549 44 roots root NNS A52264 549 45 one one CD A52264 549 46 of of IN A52264 549 47 them -PRON- PRP A52264 549 48 is be VBZ A52264 549 49 the the DT A52264 549 50 subtense subtense NN A52264 549 51 of of IN A52264 549 52 the the DT A52264 549 53 fift fift JJ A52264 549 54 part part NN A52264 549 55 of of IN A52264 549 56 the the DT A52264 549 57 arch arch NN A52264 549 58 given give VBN A52264 549 59 . . . A52264 550 1 And and CC A52264 550 2 consequently consequently RB A52264 550 3 , , , A52264 550 4 if if IN A52264 550 5 I -PRON- PRP A52264 550 6 shall shall MD A52264 550 7 divide divide VB A52264 550 8 the the DT A52264 550 9 subtense subtense NN A52264 550 10 of of IN A52264 550 11 five five CD A52264 550 12 equall equall NN A52264 550 13 arches arch NNS A52264 550 14 by by IN A52264 550 15 5 5 CD A52264 550 16 roots root NNS A52264 550 17 , , , A52264 550 18 lesse lesse NNP A52264 550 19 5 5 CD A52264 550 20 cubes cube NNS A52264 550 21 , , , A52264 550 22 more more RBR A52264 550 23 one one CD A52264 550 24 quadrato quadrato NN A52264 550 25 cube cube NNP A52264 550 26 , , , A52264 550 27 the the DT A52264 550 28 quotient quotient NN A52264 550 29 shall shall MD A52264 550 30 be be VB A52264 550 31 the the DT A52264 550 32 subtense subtense NN A52264 550 33 of of IN A52264 550 34 the the DT A52264 550 35 fift fift JJ A52264 550 36 part part NN A52264 550 37 of of IN A52264 550 38 the the DT A52264 550 39 arch arch NN A52264 550 40 . . . A52264 551 1 The the DT A52264 551 2 manner manner NN A52264 551 3 of of IN A52264 551 4 the the DT A52264 551 5 work work NN A52264 551 6 is be VBZ A52264 551 7 thus thus RB A52264 551 8 : : : A52264 551 9 First first RB A52264 551 10 , , , A52264 551 11 consider consider VB A52264 551 12 whether whether IN A52264 551 13 the the DT A52264 551 14 subtense subtense NN A52264 551 15 given give VBN A52264 551 16 to to TO A52264 551 17 be be VB A52264 551 18 divided divide VBN A52264 551 19 doth doth JJ A52264 551 20 consist consist NN A52264 551 21 of of IN A52264 551 22 equal equal JJ A52264 551 23 , , , A52264 551 24 or or CC A52264 551 25 of of IN A52264 551 26 fewer few JJR A52264 551 27 places place NNS A52264 551 28 then then RB A52264 551 29 the the DT A52264 551 30 Radius Radius NNP A52264 551 31 thereof thereof RB A52264 551 32 , , , A52264 551 33 if if IN A52264 551 34 it -PRON- PRP A52264 551 35 consist consist VBP A52264 551 36 of of IN A52264 551 37 equal equal JJ A52264 551 38 places place NNS A52264 551 39 , , , A52264 551 40 set set VBD A52264 551 41 a a DT A52264 551 42 point point NN A52264 551 43 over over IN A52264 551 44 the the DT A52264 551 45 head head NN A52264 551 46 of of IN A52264 551 47 the the DT A52264 551 48 first first JJ A52264 551 49 figure figure NN A52264 551 50 of of IN A52264 551 51 the the DT A52264 551 52 subtense subtense NN A52264 551 53 given give VBN A52264 551 54 , , , A52264 551 55 if if IN A52264 551 56 of of IN A52264 551 57 fewer few JJR A52264 551 58 places place NNS A52264 551 59 , , , A52264 551 60 make make VB A52264 551 61 it -PRON- PRP A52264 551 62 equal equal JJ A52264 551 63 , , , A52264 551 64 by by IN A52264 551 65 prefixing prefix VBG A52264 551 66 as as RB A52264 551 67 many many JJ A52264 551 68 ciphers cipher NNS A52264 551 69 before before IN A52264 551 70 the the DT A52264 551 71 subtense subtense NN A52264 551 72 given give VBN A52264 551 73 as as IN A52264 551 74 it -PRON- PRP A52264 551 75 wanteth wanteth JJ A52264 551 76 of of IN A52264 551 77 the the DT A52264 551 78 number number NN A52264 551 79 of of IN A52264 551 80 places place NNS A52264 551 81 of of IN A52264 551 82 the the DT A52264 551 83 Radius Radius NNP A52264 551 84 thereof thereof RB A52264 551 85 . . . A52264 552 1 For for IN A52264 552 2 example example NN A52264 552 3 . . . A52264 553 1 Let let VB A52264 553 2 the the DT A52264 553 3 subtense subtense NN A52264 553 4 of of IN A52264 553 5 10 10 CD A52264 553 6 degrees degree NNS A52264 553 7 be be VB A52264 553 8 given give VBN A52264 553 9 , , , A52264 553 10 viz viz NN A52264 553 11 . . . A52264 554 1 0.17431.14854.95316.34711 0.17431.14854.95316.34711 JJ A52264 554 2 . . . A52264 555 1 This this DT A52264 555 2 is be VBZ A52264 555 3 lesse lesse NN A52264 555 4 then then RB A52264 555 5 the the DT A52264 555 6 Rad Rad NNP A52264 555 7 . . . A52264 556 1 by by IN A52264 556 2 one one CD A52264 556 3 place place NN A52264 556 4 , , , A52264 556 5 and and CC A52264 556 6 therefore therefore RB A52264 556 7 I -PRON- PRP A52264 556 8 have have VBP A52264 556 9 set set VBN A52264 556 10 one one CD A52264 556 11 cipher cipher NN A52264 556 12 before before RB A52264 556 13 , , , A52264 556 14 and and CC A52264 556 15 have have VBP A52264 556 16 distinguished distinguish VBN A52264 556 17 it -PRON- PRP A52264 556 18 from from IN A52264 556 19 the the DT A52264 556 20 subtense subtense NN A52264 556 21 given give VBN A52264 556 22 by by IN A52264 556 23 a a DT A52264 556 24 point point NN A52264 556 25 set set VBN A52264 556 26 between between IN A52264 556 27 , , , A52264 556 28 the the DT A52264 556 29 which which WDT A52264 556 30 is be VBZ A52264 556 31 all all DT A52264 556 32 one one CD A52264 556 33 , , , A52264 556 34 as as IN A52264 556 35 if if IN A52264 556 36 it -PRON- PRP A52264 556 37 had have VBD A52264 556 38 been be VBN A52264 556 39 put put VBN A52264 556 40 over over IN A52264 556 41 the the DT A52264 556 42 head head NN A52264 556 43 thereof thereof RB A52264 556 44 : : : A52264 556 45 next next IN A52264 556 46 you -PRON- PRP A52264 556 47 must must MD A52264 556 48 distinguish distinguish VB A52264 556 49 the the DT A52264 556 50 subtense subtense NN A52264 556 51 given give VBN A52264 556 52 into into IN A52264 556 53 little little JJ A52264 556 54 cubes cube NNS A52264 556 55 , , , A52264 556 56 & & CC A52264 556 57 into into IN A52264 556 58 quadratocubes quadratocube NNS A52264 556 59 , , , A52264 556 60 which which WDT A52264 556 61 may may MD A52264 556 62 be be VB A52264 556 63 conveniently conveniently RB A52264 556 64 done do VBN A52264 556 65 thus thus RB A52264 556 66 ; ; : A52264 556 67 having have VBG A52264 556 68 found find VBN A52264 556 69 the the DT A52264 556 70 place place NN A52264 556 71 of of IN A52264 556 72 the the DT A52264 556 73 first first JJ A52264 556 74 point point NN A52264 556 75 , , , A52264 556 76 which which WDT A52264 556 77 is be VBZ A52264 556 78 alwayes alwayes NNP A52264 556 79 the the DT A52264 556 80 place place NN A52264 556 81 of of IN A52264 556 82 the the DT A52264 556 83 Radius Radius NNP A52264 556 84 , , , A52264 556 85 the the DT A52264 556 86 subtense subtense NN A52264 556 87 given give VBN A52264 556 88 must must MD A52264 556 89 be be VB A52264 556 90 distinguished distinguish VBN A52264 556 91 into into IN A52264 556 92 little little JJ A52264 556 93 cubes cube NNS A52264 556 94 , , , A52264 556 95 by by IN A52264 556 96 putting put VBG A52264 556 97 a a DT A52264 556 98 point point NN A52264 556 99 under under IN A52264 556 100 every every DT A52264 556 101 third third JJ A52264 556 102 figure figure NN A52264 556 103 , , , A52264 556 104 as as IN A52264 556 105 in in IN A52264 556 106 the the DT A52264 556 107 trisection trisection NN A52264 556 108 of of IN A52264 556 109 an an DT A52264 556 110 angle angle NN A52264 556 111 : : : A52264 556 112 thus thus RB A52264 556 113 in in IN A52264 556 114 this this DT A52264 556 115 example example NN A52264 556 116 the the DT A52264 556 117 first first JJ A52264 556 118 cubick cubick NN A52264 556 119 point point NN A52264 556 120 will will MD A52264 556 121 fall fall VB A52264 556 122 under under IN A52264 556 123 the the DT A52264 556 124 figure figure NN A52264 556 125 4 4 CD A52264 556 126 , , , A52264 556 127 and and CC A52264 556 128 the the DT A52264 556 129 subtense subtense NN A52264 556 130 given give VBN A52264 556 131 must must MD A52264 556 132 be be VB A52264 556 133 distinguished distinguish VBN A52264 556 134 into into IN A52264 556 135 quadrato quadrato NN A52264 556 136 cubes cube NNS A52264 556 137 , , , A52264 556 138 by by IN A52264 556 139 setting set VBG A52264 556 140 a a DT A52264 556 141 point point NN A52264 556 142 over over IN A52264 556 143 the the DT A52264 556 144 head head NN A52264 556 145 , , , A52264 556 146 or or CC A52264 556 147 else else RB A52264 556 148 between between IN A52264 556 149 every every DT A52264 556 150 fift fift JJ A52264 556 151 figure figure NN A52264 556 152 from from IN A52264 556 153 the the DT A52264 556 154 place place NN A52264 556 155 of of IN A52264 556 156 the the DT A52264 556 157 Radius radius NN A52264 556 158 : : : A52264 556 159 thus thus RB A52264 556 160 in in IN A52264 556 161 this this DT A52264 556 162 example example NN A52264 556 163 the the DT A52264 556 164 first first JJ A52264 556 165 quadrato quadrato NN A52264 556 166 cubick cubick NN A52264 556 167 point point NN A52264 556 168 must must MD A52264 556 169 be be VB A52264 556 170 set set VBN A52264 556 171 over over IN A52264 556 172 the the DT A52264 556 173 head head NN A52264 556 174 , , , A52264 556 175 or or CC A52264 556 176 after after IN A52264 556 177 the the DT A52264 556 178 figure figure NN A52264 556 179 of of IN A52264 556 180 1 1 CD A52264 556 181 , , , A52264 556 182 the the DT A52264 556 183 second second JJ A52264 556 184 after after IN A52264 556 185 4 4 CD A52264 556 186 , , , A52264 556 187 as as RB A52264 556 188 here here RB A52264 556 189 you -PRON- PRP A52264 556 190 see see VBP A52264 556 191 . . . A52264 557 1 After after IN A52264 557 2 this this DT A52264 557 3 preparation preparation NN A52264 557 4 made make VBD A52264 557 5 , , , A52264 557 6 you -PRON- PRP A52264 557 7 must must MD A52264 557 8 place place VB A52264 557 9 your -PRON- PRP$ A52264 557 10 two two CD A52264 557 11 divisors divisor NNS A52264 557 12 , , , A52264 557 13 5 5 CD A52264 557 14 roots root NNS A52264 557 15 and and CC A52264 557 16 5 5 CD A52264 557 17 cubes cube NNS A52264 557 18 in in IN A52264 557 19 this this DT A52264 557 20 manner manner NN A52264 557 21 , , , A52264 557 22 the the DT A52264 557 23 first first JJ A52264 557 24 as as IN A52264 557 25 in in IN A52264 557 26 ordinary ordinary JJ A52264 557 27 division division NN A52264 557 28 under under IN A52264 557 29 the the DT A52264 557 30 first first JJ A52264 557 31 figure figure NN A52264 557 32 of of IN A52264 557 33 the the DT A52264 557 34 subtense subtense NN A52264 557 35 given give VBN A52264 557 36 , , , A52264 557 37 the the DT A52264 557 38 other other JJ A52264 557 39 5 5 CD A52264 557 40 under under IN A52264 557 41 the the DT A52264 557 42 first first JJ A52264 557 43 cubick cubick NN A52264 557 44 point point NN A52264 557 45 , , , A52264 557 46 and and CC A52264 557 47 they -PRON- PRP A52264 557 48 will will MD A52264 557 49 stand stand VB A52264 557 50 as as IN A52264 557 51 in in IN A52264 557 52 the the DT A52264 557 53 work work NN A52264 557 54 you -PRON- PRP A52264 557 55 see see VBP A52264 557 56 ; ; : A52264 557 57 then then RB A52264 557 58 ask ask VB A52264 557 59 how how WRB A52264 557 60 often often RB A52264 557 61 5 5 CD A52264 557 62 in in IN A52264 557 63 one one CD A52264 557 64 , , , A52264 557 65 which which WDT A52264 557 66 being be VBG A52264 557 67 not not RB A52264 557 68 once once RB A52264 557 69 , , , A52264 557 70 I -PRON- PRP A52264 557 71 put put VBD A52264 557 72 a a DT A52264 557 73 cipher cipher NN A52264 557 74 in in IN A52264 557 75 the the DT A52264 557 76 quotient quotient NN A52264 557 77 , , , A52264 557 78 and and CC A52264 557 79 remove remove VB A52264 557 80 my -PRON- PRP$ A52264 557 81 first first JJ A52264 557 82 divisor divisor NN A52264 557 83 a a DT A52264 557 84 place place NN A52264 557 85 forwarder forwarder NN A52264 557 86 , , , A52264 557 87 as as IN A52264 557 88 in in IN A52264 557 89 ordinary ordinary JJ A52264 557 90 division division NN A52264 557 91 , , , A52264 557 92 but but CC A52264 557 93 the the DT A52264 557 94 other other JJ A52264 557 95 5 5 CD A52264 557 96 I -PRON- PRP A52264 557 97 remove remove VBP A52264 557 98 to to IN A52264 557 99 the the DT A52264 557 100 next next JJ A52264 557 101 cubick cubick NN A52264 557 102 point point NN A52264 557 103 , , , A52264 557 104 then then RB A52264 557 105 , , , A52264 557 106 as as IN A52264 557 107 before before RB A52264 557 108 , , , A52264 557 109 I -PRON- PRP A52264 557 110 ask ask VBP A52264 557 111 how how WRB A52264 557 112 often often RB A52264 557 113 5 5 CD A52264 557 114 in in IN A52264 557 115 17 17 CD A52264 557 116 , , , A52264 557 117 which which WDT A52264 557 118 being be VBG A52264 557 119 3 3 CD A52264 557 120 times time NNS A52264 557 121 , , , A52264 557 122 I -PRON- PRP A52264 557 123 set set VBD A52264 557 124 3 3 CD A52264 557 125 in in IN A52264 557 126 the the DT A52264 557 127 quotient quotient NN A52264 557 128 , , , A52264 557 129 and and CC A52264 557 130 of of IN A52264 557 131 this this DT A52264 557 132 quotient quotient NN A52264 557 133 I -PRON- PRP A52264 557 134 seek seek VBP A52264 557 135 the the DT A52264 557 136 quadrato quadrato NN A52264 557 137 cube cube NN A52264 557 138 , , , A52264 557 139 and and CC A52264 557 140 finde finde NNP A52264 557 141 it -PRON- PRP A52264 557 142 to to TO A52264 557 143 be be VB A52264 557 144 243 243 CD A52264 557 145 , , , A52264 557 146 the the DT A52264 557 147 last last JJ A52264 557 148 figure figure NN A52264 557 149 whereof whereof NNP A52264 557 150 , , , A52264 557 151 namely namely RB A52264 557 152 , , , A52264 557 153 3 3 CD A52264 557 154 , , , A52264 557 155 I -PRON- PRP A52264 557 156 set set VBD A52264 557 157 under under IN A52264 557 158 the the DT A52264 557 159 last last JJ A52264 557 160 figure figure NN A52264 557 161 of of IN A52264 557 162 the the DT A52264 557 163 second second JJ A52264 557 164 quadrato quadrato NN A52264 557 165 cubick cubick NN A52264 557 166 point point NN A52264 557 167 ( ( -LRB- A52264 557 168 because because IN A52264 557 169 there there EX A52264 557 170 are be VBP A52264 557 171 but but CC A52264 557 172 3 3 CD A52264 557 173 figures figure NNS A52264 557 174 between between IN A52264 557 175 my -PRON- PRP$ A52264 557 176 divisor divisor NN A52264 557 177 5 5 CD A52264 557 178 and and CC A52264 557 179 the the DT A52264 557 180 first first JJ A52264 557 181 cubick cubick NN A52264 557 182 point point NN A52264 557 183 , , , A52264 557 184 whereas whereas IN A52264 557 185 there there EX A52264 557 186 must must MD A52264 557 187 be be VB A52264 557 188 alwayes alwayes NNP A52264 557 189 four four CD A52264 557 190 at at IN A52264 557 191 the the DT A52264 557 192 least least JJS A52264 557 193 ) ) -RRB- A52264 557 194 then then RB A52264 557 195 I -PRON- PRP A52264 557 196 multiply multiply VBP A52264 557 197 the the DT A52264 557 198 figure figure NN A52264 557 199 3 3 CD A52264 557 200 placed place VBN A52264 557 201 in in IN A52264 557 202 the the DT A52264 557 203 quotient quotient NN A52264 557 204 by by IN A52264 557 205 my -PRON- PRP$ A52264 557 206 divisor divisor NN A52264 557 207 5 5 CD A52264 557 208 , , , A52264 557 209 and and CC A52264 557 210 the the DT A52264 557 211 product product NN A52264 557 212 thereof thereof RB A52264 557 213 is be VBZ A52264 557 214 15 15 CD A52264 557 215 , , , A52264 557 216 the the DT A52264 557 217 first first JJ A52264 557 218 figure figure NN A52264 557 219 whereof whereof IN A52264 557 220 I -PRON- PRP A52264 557 221 place place VBP A52264 557 222 under under IN A52264 557 223 my -PRON- PRP$ A52264 557 224 said say VBN A52264 557 225 divisor divisor NNP A52264 557 226 5 5 CD A52264 557 227 , , , A52264 557 228 to to TO A52264 557 229 which which WDT A52264 557 230 having have VBG A52264 557 231 annexed annex VBN A52264 557 232 ciphers cipher NNS A52264 557 233 , , , A52264 557 234 or or CC A52264 557 235 at at IN A52264 557 236 least least JJS A52264 557 237 supposing suppose VBG A52264 557 238 them -PRON- PRP A52264 557 239 to to TO A52264 557 240 be be VB A52264 557 241 annexed annex VBN A52264 557 242 , , , A52264 557 243 ( ( -LRB- A52264 557 244 as as IN A52264 557 245 to to IN A52264 557 246 the the DT A52264 557 247 triple triple JJ A52264 557 248 root root NN A52264 557 249 in in IN A52264 557 250 the the DT A52264 557 251 trisection trisection NN A52264 557 252 ) ) -RRB- A52264 557 253 I -PRON- PRP A52264 557 254 draw draw VBP A52264 557 255 the the DT A52264 557 256 quadrato quadrato NN A52264 557 257 cube cube NN A52264 557 258 of of IN A52264 557 259 the the DT A52264 557 260 figure figure NN A52264 557 261 in in IN A52264 557 262 the the DT A52264 557 263 quotient quotient NN A52264 557 264 , , , A52264 557 265 and and CC A52264 557 266 these these DT A52264 557 267 5 5 CD A52264 557 268 roots root NNS A52264 557 269 or or CC A52264 557 270 5 5 CD A52264 557 271 quotients quotient NNS A52264 557 272 into into IN A52264 557 273 one one CD A52264 557 274 summe summe NN A52264 557 275 , , , A52264 557 276 the the DT A52264 557 277 which which WDT A52264 557 278 is be VBZ A52264 557 279 1500000243 1500000243 CD A52264 557 280 , , , A52264 557 281 under under IN A52264 557 282 this this DT A52264 557 283 summe summe NN A52264 557 284 I -PRON- PRP A52264 557 285 draw draw VBP A52264 557 286 a a DT A52264 557 287 line line NN A52264 557 288 , , , A52264 557 289 so so RB A52264 557 290 have have VBP A52264 557 291 we -PRON- PRP A52264 557 292 five five CD A52264 557 293 roots root NNS A52264 557 294 more more RBR A52264 557 295 one one CD A52264 557 296 quadrato quadrato NN A52264 557 297 cube cube NN A52264 557 298 , , , A52264 557 299 from from IN A52264 557 300 which which WDT A52264 557 301 I -PRON- PRP A52264 557 302 must must MD A52264 557 303 subtract subtract VB A52264 557 304 5 5 CD A52264 557 305 cubes cube NNS A52264 557 306 , , , A52264 557 307 I -PRON- PRP A52264 557 308 therefore therefore RB A52264 557 309 seek seek VBP A52264 557 310 the the DT A52264 557 311 cube cube NN A52264 557 312 of of IN A52264 557 313 3 3 CD A52264 557 314 , , , A52264 557 315 the the DT A52264 557 316 figure figure NN A52264 557 317 placed place VBN A52264 557 318 in in IN A52264 557 319 the the DT A52264 557 320 quotient quotient NN A52264 557 321 , , , A52264 557 322 and and CC A52264 557 323 finde finde VB A52264 557 324 it -PRON- PRP A52264 557 325 to to TO A52264 557 326 be be VB A52264 557 327 27 27 CD A52264 557 328 , , , A52264 557 329 which which WDT A52264 557 330 multiplied multiply VBN A52264 557 331 by by IN A52264 557 332 5 5 CD A52264 557 333 , , , A52264 557 334 the the DT A52264 557 335 product product NN A52264 557 336 will will MD A52264 557 337 be be VB A52264 557 338 135 135 CD A52264 557 339 , , , A52264 557 340 the the DT A52264 557 341 last last JJ A52264 557 342 figure figure NN A52264 557 343 of of IN A52264 557 344 these these DT A52264 557 345 five five CD A52264 557 346 cubes cube NNS A52264 557 347 , , , A52264 557 348 viz viz NN A52264 557 349 . . . A52264 558 1 5 5 LS A52264 558 2 , , , A52264 558 3 I -PRON- PRP A52264 558 4 set set VBD A52264 558 5 under under IN A52264 558 6 my -PRON- PRP$ A52264 558 7 second second JJ A52264 558 8 5 5 CD A52264 558 9 or or CC A52264 558 10 cubick cubick NN A52264 558 11 divisor divisor NN A52264 558 12 , , , A52264 558 13 and and CC A52264 558 14 substracting substracte VBG A52264 558 15 these these DT A52264 558 16 5 5 CD A52264 558 17 cubes cube NNS A52264 558 18 from from IN A52264 558 19 the the DT A52264 558 20 5 5 CD A52264 558 21 roots root NNS A52264 558 22 more more JJR A52264 558 23 one one CD A52264 558 24 quadrato quadrato NN A52264 558 25 cube cube NNP A52264 558 26 , , , A52264 558 27 the the DT A52264 558 28 remainer remainer NN A52264 558 29 will will MD A52264 558 30 be be VB A52264 558 31 〈 〈 NNP A52264 558 32 … … NFP A52264 558 33 〉 〉 NNP A52264 558 34 , , , A52264 558 35 which which WDT A52264 558 36 remainer remainer NN A52264 558 37 being being NN A52264 558 38 also also RB A52264 558 39 substracted substracte VBN A52264 558 40 from from IN A52264 558 41 the the DT A52264 558 42 figures figure NNS A52264 558 43 of of IN A52264 558 44 the the DT A52264 558 45 subtense subtense NN A52264 558 46 given give VBN A52264 558 47 standing stand VBG A52264 558 48 over over IN A52264 558 49 the the DT A52264 558 50 head head NN A52264 558 51 thereof thereof RB A52264 558 52 , , , A52264 558 53 the the DT A52264 558 54 remainer remainer NN A52264 558 55 of of IN A52264 558 56 the the DT A52264 558 57 subtense subtense NN A52264 558 58 given give VBN A52264 558 59 will will MD A52264 558 60 be be VB A52264 558 61 244464611 244464611 CD A52264 558 62 , , , A52264 558 63 and and CC A52264 558 64 so so RB A52264 558 65 have have VBP A52264 558 66 I -PRON- PRP A52264 558 67 wrought work VBN A52264 558 68 once once RB A52264 558 69 . . . A52264 559 1 To to IN A52264 559 2 this this DT A52264 559 3 remainer remainer NN A52264 559 4 of of IN A52264 559 5 the the DT A52264 559 6 two two CD A52264 559 7 first first JJ A52264 559 8 quadrato quadrato NN A52264 559 9 cubes cube NNS A52264 559 10 , , , A52264 559 11 I -PRON- PRP A52264 559 12 draw draw VBP A52264 559 13 down down RP A52264 559 14 95316 95316 CD A52264 559 15 , , , A52264 559 16 the the DT A52264 559 17 figures figure NNS A52264 559 18 of of IN A52264 559 19 the the DT A52264 559 20 next next JJ A52264 559 21 quadrato quadrato NN A52264 559 22 cube cube NNP A52264 559 23 , , , A52264 559 24 and and CC A52264 559 25 setting set VBG A52264 559 26 my -PRON- PRP$ A52264 559 27 first first JJ A52264 559 28 divisor divisor NN A52264 559 29 a a DT A52264 559 30 place place NN A52264 559 31 forwarder forwarder NN A52264 559 32 , , , A52264 559 33 I -PRON- PRP A52264 559 34 ask ask VBP A52264 559 35 how how WRB A52264 559 36 often often RB A52264 559 37 5 5 CD A52264 559 38 in in IN A52264 559 39 24 24 CD A52264 559 40 , , , A52264 559 41 which which WDT A52264 559 42 being be VBG A52264 559 43 four four CD A52264 559 44 times time NNS A52264 559 45 , , , A52264 559 46 I -PRON- PRP A52264 559 47 set set VBD A52264 559 48 4 4 CD A52264 559 49 in in IN A52264 559 50 the the DT A52264 559 51 quotient quotient NN A52264 559 52 , , , A52264 559 53 not not RB A52264 559 54 knowing know VBG A52264 559 55 yet yet RB A52264 559 56 whether whether IN A52264 559 57 this this DT A52264 559 58 be be VB A52264 559 59 the the DT A52264 559 60 true true JJ A52264 559 61 quotient quotient NN A52264 559 62 or or CC A52264 559 63 not not RB A52264 559 64 , , , A52264 559 65 but but CC A52264 559 66 with with IN A52264 559 67 this this DT A52264 559 68 I -PRON- PRP A52264 559 69 proceed proceed VBP A52264 559 70 to to TO A52264 559 71 correct correct VB A52264 559 72 my -PRON- PRP$ A52264 559 73 divisor divisor NN A52264 559 74 , , , A52264 559 75 and and CC A52264 559 76 first first RB A52264 559 77 I -PRON- PRP A52264 559 78 seek seek VBP A52264 559 79 the the DT A52264 559 80 quadrato quadrato NN A52264 559 81 quadrat quadrat NN A52264 559 82 of of IN A52264 559 83 3 3 CD A52264 559 84 , , , A52264 559 85 the the DT A52264 559 86 first first JJ A52264 559 87 quotient quotient NN A52264 559 88 , , , A52264 559 89 and and CC A52264 559 90 finde finde IN A52264 559 91 it -PRON- PRP A52264 559 92 to to TO A52264 559 93 be be VB A52264 559 94 81 81 CD A52264 559 95 , , , A52264 559 96 this this DT A52264 559 97 multiplied multiply VBN A52264 559 98 by by IN A52264 559 99 5 5 CD A52264 559 100 , , , A52264 559 101 will will MD A52264 559 102 make make VB A52264 559 103 405 405 CD A52264 559 104 , , , A52264 559 105 this this DT A52264 559 106 product product NN A52264 559 107 I -PRON- PRP A52264 559 108 set set VBD A52264 559 109 under under IN A52264 559 110 my -PRON- PRP$ A52264 559 111 divisor divisor NN A52264 559 112 , , , A52264 559 113 and and CC A52264 559 114 5 5 CD A52264 559 115 the the DT A52264 559 116 last last JJ A52264 559 117 figure figure NN A52264 559 118 thereof thereof WRB A52264 559 119 I -PRON- PRP A52264 559 120 set set VBD A52264 559 121 under under IN A52264 559 122 9 9 CD A52264 559 123 , , , A52264 559 124 the the DT A52264 559 125 first first JJ A52264 559 126 figure figure NN A52264 559 127 of of IN A52264 559 128 the the DT A52264 559 129 3 3 CD A52264 559 130 quadrato quadrato NNP A52264 559 131 quadrate quadrate NN A52264 559 132 ; ; : A52264 559 133 next next RB A52264 559 134 I -PRON- PRP A52264 559 135 seek seek VBP A52264 559 136 the the DT A52264 559 137 cube cube NN A52264 559 138 of of IN A52264 559 139 3 3 CD A52264 559 140 , , , A52264 559 141 & & CC A52264 559 142 finde finde NNP A52264 559 143 it -PRON- PRP A52264 559 144 to to TO A52264 559 145 be be VB A52264 559 146 27 27 CD A52264 559 147 , , , A52264 559 148 which which WDT A52264 559 149 being be VBG A52264 559 150 multiplied multiply VBN A52264 559 151 by by IN A52264 559 152 10 10 CD A52264 559 153 , , , A52264 559 154 the the DT A52264 559 155 product product NN A52264 559 156 will will MD A52264 559 157 be be VB A52264 559 158 270 270 CD A52264 559 159 , , , A52264 559 160 and and CC A52264 559 161 this this DT A52264 559 162 I -PRON- PRP A52264 559 163 set set VBD A52264 559 164 a a DT A52264 559 165 place place NN A52264 559 166 forwarder forwarder NN A52264 559 167 under under IN A52264 559 168 the the DT A52264 559 169 former former JJ A52264 559 170 product product NN A52264 559 171 : : : A52264 559 172 thirdly thirdly RB A52264 559 173 , , , A52264 559 174 I -PRON- PRP A52264 559 175 seek seek VBP A52264 559 176 the the DT A52264 559 177 square square NN A52264 559 178 of of IN A52264 559 179 3 3 CD A52264 559 180 which which WDT A52264 559 181 is be VBZ A52264 559 182 9 9 CD A52264 559 183 , , , A52264 559 184 and and CC A52264 559 185 this this DT A52264 559 186 multiplied multiply VBN A52264 559 187 by by IN A52264 559 188 10 10 CD A52264 559 189 is be VBZ A52264 559 190 90 90 CD A52264 559 191 , , , A52264 559 192 which which WDT A52264 559 193 I -PRON- PRP A52264 559 194 set set VBD A52264 559 195 a a DT A52264 559 196 place place NN A52264 559 197 forwarder forwarder NN A52264 559 198 under under IN A52264 559 199 the the DT A52264 559 200 second second JJ A52264 559 201 product product NN A52264 559 202 270 270 CD A52264 559 203 . . . A52264 560 1 Lastly lastly RB A52264 560 2 , , , A52264 560 3 I -PRON- PRP A52264 560 4 multiply multiply VBP A52264 560 5 3 3 CD A52264 560 6 , , , A52264 560 7 the the DT A52264 560 8 figure figure NN A52264 560 9 in in IN A52264 560 10 the the DT A52264 560 11 quotient quotient NN A52264 560 12 by by IN A52264 560 13 5 5 CD A52264 560 14 my -PRON- PRP$ A52264 560 15 divisor divisor NN A52264 560 16 , , , A52264 560 17 this this DT A52264 560 18 product product NN A52264 560 19 which which WDT A52264 560 20 is be VBZ A52264 560 21 15 15 CD A52264 560 22 , , , A52264 560 23 I -PRON- PRP A52264 560 24 set set VBD A52264 560 25 a a DT A52264 560 26 place place NN A52264 560 27 forwarder forwarder NN A52264 560 28 under under IN A52264 560 29 90 90 CD A52264 560 30 , , , A52264 560 31 the the DT A52264 560 32 third third JJ A52264 560 33 product product NN A52264 560 34 , , , A52264 560 35 and and CC A52264 560 36 now now RB A52264 560 37 these these DT A52264 560 38 4 4 CD A52264 560 39 products product NNS A52264 560 40 together together RB A52264 560 41 with with IN A52264 560 42 my -PRON- PRP$ A52264 560 43 divisor divisor NN A52264 560 44 and and CC A52264 560 45 ciphers cipher NNS A52264 560 46 thereunto thereunto NNS A52264 560 47 annexed annex VBD A52264 560 48 , , , A52264 560 49 being be VBG A52264 560 50 gathered gather VBN A52264 560 51 into into IN A52264 560 52 one one CD A52264 560 53 summe summe NN A52264 560 54 , , , A52264 560 55 will will MD A52264 560 56 be be VB A52264 560 57 500000432915 500000432915 CD A52264 560 58 , , , A52264 560 59 under under IN A52264 560 60 which which WDT A52264 560 61 I -PRON- PRP A52264 560 62 draw draw VBP A52264 560 63 a a DT A52264 560 64 line line NN A52264 560 65 . . . A52264 561 1 And and CC A52264 561 2 thrice thrice VB A52264 561 3 the the DT A52264 561 4 square square NN A52264 561 5 of of IN A52264 561 6 3 3 CD A52264 561 7 , , , A52264 561 8 multiplied multiply VBN A52264 561 9 by by IN A52264 561 10 5 5 CD A52264 561 11 , , , A52264 561 12 which which WDT A52264 561 13 is be VBZ A52264 561 14 135 135 CD A52264 561 15 , , , A52264 561 16 I -PRON- PRP A52264 561 17 set set VBD A52264 561 18 under under IN A52264 561 19 this this DT A52264 561 20 summe summe NN A52264 561 21 , , , A52264 561 22 the the DT A52264 561 23 last last JJ A52264 561 24 figure figure NN A52264 561 25 thereof thereof IN A52264 561 26 5 5 CD A52264 561 27 , , , A52264 561 28 under under IN A52264 561 29 the the DT A52264 561 30 first first JJ A52264 561 31 figure figure NN A52264 561 32 of of IN A52264 561 33 the the DT A52264 561 34 third third JJ A52264 561 35 cubick cubick NN A52264 561 36 point point NN A52264 561 37 , , , A52264 561 38 that that RB A52264 561 39 is is RB A52264 561 40 , , , A52264 561 41 under under IN A52264 561 42 4 4 CD A52264 561 43 , , , A52264 561 44 and and CC A52264 561 45 the the DT A52264 561 46 triple triple NN A52264 561 47 of of IN A52264 561 48 3 3 CD A52264 561 49 multiplied multiply VBN A52264 561 50 by by IN A52264 561 51 5 5 CD A52264 561 52 , , , A52264 561 53 which which WDT A52264 561 54 is be VBZ A52264 561 55 45 45 CD A52264 561 56 , , , A52264 561 57 I -PRON- PRP A52264 561 58 set set VBD A52264 561 59 under under IN A52264 561 60 the the DT A52264 561 61 former former JJ A52264 561 62 summe summe NN A52264 561 63 135 135 CD A52264 561 64 , , , A52264 561 65 a a DT A52264 561 66 place place NN A52264 561 67 forwarder forwarder NN A52264 561 68 , , , A52264 561 69 and and CC A52264 561 70 my -PRON- PRP$ A52264 561 71 cubick cubick NN A52264 561 72 divisor divisor NN A52264 561 73 5 5 CD A52264 561 74 under under IN A52264 561 75 the the DT A52264 561 76 last last JJ A52264 561 77 summe summe NN A52264 561 78 a a DT A52264 561 79 place place NN A52264 561 80 forwarder forwarder NN A52264 561 81 , , , A52264 561 82 that that RB A52264 561 83 is is RB A52264 561 84 , , , A52264 561 85 under under IN A52264 561 86 the the DT A52264 561 87 third third JJ A52264 561 88 cubick cubick NN A52264 561 89 point point NN A52264 561 90 , , , A52264 561 91 these these DT A52264 561 92 drawn draw VBN A52264 561 93 into into IN A52264 561 94 one one CD A52264 561 95 summe summe NN A52264 561 96 will will MD A52264 561 97 be be VB A52264 561 98 13955 13955 CD A52264 561 99 , , , A52264 561 100 and and CC A52264 561 101 being be VBG A52264 561 102 substracted substracte VBN A52264 561 103 from from IN A52264 561 104 the the DT A52264 561 105 former former JJ A52264 561 106 summe summe NN A52264 561 107 500000432915 500000432915 CD A52264 561 108 , , , A52264 561 109 the the DT A52264 561 110 remainer remainer NN A52264 561 111 498.60493 498.60493 NN A52264 561 112 . . . A52264 562 1 + + CC A52264 562 2 2915 2915 CD A52264 562 3 is be VBZ A52264 562 4 my -PRON- PRP$ A52264 562 5 divisor divisor NN A52264 562 6 corrected correct VBN A52264 562 7 , , , A52264 562 8 and and CC A52264 562 9 yet yet RB A52264 562 10 I -PRON- PRP A52264 562 11 know know VBP A52264 562 12 not not RB A52264 562 13 whether whether IN A52264 562 14 I -PRON- PRP A52264 562 15 have have VBP A52264 562 16 a a DT A52264 562 17 true true JJ A52264 562 18 quotient quotient NN A52264 562 19 or or CC A52264 562 20 not not RB A52264 562 21 ; ; : A52264 562 22 under under IN A52264 562 23 this this DT A52264 562 24 remainer remainer NN A52264 562 25 therefore therefore RB A52264 562 26 I -PRON- PRP A52264 562 27 draw draw VBP A52264 562 28 a a DT A52264 562 29 line line NN A52264 562 30 , , , A52264 562 31 and and CC A52264 562 32 work work VB A52264 562 33 with with IN A52264 562 34 4 4 CD A52264 562 35 , , , A52264 562 36 which which WDT A52264 562 37 I -PRON- PRP A52264 562 38 suppose suppose VBP A52264 562 39 to to TO A52264 562 40 be be VB A52264 562 41 the the DT A52264 562 42 true true JJ A52264 562 43 quotient quotient NN A52264 562 44 in in IN A52264 562 45 manner manner NN A52264 562 46 following following NN A52264 562 47 ; ; : A52264 562 48 and and CC A52264 562 49 that that IN A52264 562 50 the the DT A52264 562 51 manner manner NN A52264 562 52 of of IN A52264 562 53 the the DT A52264 562 54 work work NN A52264 562 55 may may MD A52264 562 56 be be VB A52264 562 57 the the DT A52264 562 58 more more RBR A52264 562 59 perspicuous perspicuous JJ A52264 562 60 , , , A52264 562 61 ( ( -LRB- A52264 562 62 as as IN A52264 562 63 in in IN A52264 562 64 the the DT A52264 562 65 trisection trisection NN A52264 562 66 of of IN A52264 562 67 an an DT A52264 562 68 angle angle NN A52264 562 69 , , , A52264 562 70 so so RB A52264 562 71 here here RB A52264 562 72 ) ) -RRB- A52264 562 73 3 3 CD A52264 562 74 the the DT A52264 562 75 first first JJ A52264 562 76 figure figure NN A52264 562 77 found find VBD A52264 562 78 I -PRON- PRP A52264 562 79 call call VBP A52264 562 80 ( ( -LRB- A52264 562 81 a a DT A52264 562 82 ) ) -RRB- A52264 562 83 and and CC A52264 562 84 4 4 CD A52264 562 85 the the DT A52264 562 86 second second JJ A52264 562 87 figure figure NN A52264 562 88 I -PRON- PRP A52264 562 89 call call VBP A52264 562 90 ( ( -LRB- A52264 562 91 e e LS A52264 562 92 ) ) -RRB- A52264 562 93 the the DT A52264 562 94 square square NN A52264 562 95 of of IN A52264 562 96 three three CD A52264 562 97 I -PRON- PRP A52264 562 98 note note VBP A52264 562 99 with with IN A52264 562 100 aa aa NNP A52264 562 101 , , , A52264 562 102 the the DT A52264 562 103 cube cube NNP A52264 562 104 with with IN A52264 562 105 aaa aaa NNP A52264 562 106 , , , A52264 562 107 the the DT A52264 562 108 quadrate quadrate JJ A52264 562 109 quadrat quadrat NN A52264 562 110 with with IN A52264 562 111 aaaa aaaa NNP A52264 562 112 , , , A52264 562 113 the the DT A52264 562 114 quadrato quadrato NNP A52264 562 115 cube cube NNP A52264 562 116 with with IN A52264 562 117 aaaaa aaaaa RB A52264 562 118 , , , A52264 562 119 so so CC A52264 562 120 likewise likewise RB A52264 562 121 the the DT A52264 562 122 square square NN A52264 562 123 of of IN A52264 562 124 4 4 CD A52264 562 125 the the DT A52264 562 126 second second JJ A52264 562 127 figure figure NN A52264 562 128 I -PRON- PRP A52264 562 129 note note VBP A52264 562 130 with with IN A52264 562 131 ee ee NNP A52264 562 132 , , , A52264 562 133 the the DT A52264 562 134 cube cube NNP A52264 562 135 with with IN A52264 562 136 eee eee NNP A52264 562 137 , , , A52264 562 138 the the DT A52264 562 139 quadrato quadrato NNP A52264 562 140 quadrate quadrate NNP A52264 562 141 with with IN A52264 562 142 eeee eeee NNP A52264 562 143 , , , A52264 562 144 the the DT A52264 562 145 quadrato quadrato NNP A52264 562 146 cube cube NNP A52264 562 147 with with IN A52264 562 148 eeeee eeeee NNP A52264 562 149 ; ; : A52264 562 150 my -PRON- PRP$ A52264 562 151 first first JJ A52264 562 152 divisor divisor NN A52264 562 153 I -PRON- PRP A52264 562 154 note note VBP A52264 562 155 with with IN A52264 562 156 ffff ffff NN A52264 562 157 , , , A52264 562 158 because because IN A52264 562 159 this this DT A52264 562 160 Equation Equation NNP A52264 562 161 is be VBZ A52264 562 162 quadrato quadrato NNP A52264 562 163 quadratick quadratick NN A52264 562 164 , , , A52264 562 165 and and CC A52264 562 166 5 5 CD A52264 562 167 my -PRON- PRP$ A52264 562 168 second second JJ A52264 562 169 divisor divisor NN A52264 562 170 , , , A52264 562 171 I -PRON- PRP A52264 562 172 note note VBP A52264 562 173 with with IN A52264 562 174 cc cc NNP A52264 562 175 , , , A52264 562 176 because because IN A52264 562 177 the the DT A52264 562 178 divisor divisor NN A52264 562 179 it -PRON- PRP A52264 562 180 self self NN A52264 562 181 is be VBZ A52264 562 182 cubick cubick JJ A52264 562 183 : : : A52264 562 184 these these DT A52264 562 185 things thing NNS A52264 562 186 premised premise VBN A52264 562 187 , , , A52264 562 188 I -PRON- PRP A52264 562 189 proceed proceed VBP A52264 562 190 thus thus RB A52264 562 191 : : : A52264 562 192 First first RB A52264 562 193 , , , A52264 562 194 I -PRON- PRP A52264 562 195 multiply multiply VBP A52264 562 196 405 405 CD A52264 562 197 , , , A52264 562 198 which which WDT A52264 562 199 is be VBZ A52264 562 200 5 5 CD A52264 562 201 aaaa aaaa CD A52264 562 202 or or CC A52264 562 203 5 5 CD A52264 562 204 times time NNS A52264 562 205 the the DT A52264 562 206 quadrato quadrato NNP A52264 562 207 quadrate quadrate NNP A52264 562 208 of of IN A52264 562 209 3 3 CD A52264 562 210 by by IN A52264 562 211 e e NN A52264 562 212 , , , A52264 562 213 that that RB A52264 562 214 is is RB A52264 562 215 , , , A52264 562 216 by by IN A52264 562 217 4 4 CD A52264 562 218 , , , A52264 562 219 and and CC A52264 562 220 the the DT A52264 562 221 product product NN A52264 562 222 thereof thereof IN A52264 562 223 1620 1620 CD A52264 562 224 , , , A52264 562 225 I -PRON- PRP A52264 562 226 set set VBD A52264 562 227 under under IN A52264 562 228 my -PRON- PRP$ A52264 562 229 divisor divisor NN A52264 562 230 corrected correct VBN A52264 562 231 , , , A52264 562 232 so so IN A52264 562 233 as as IN A52264 562 234 the the DT A52264 562 235 last last JJ A52264 562 236 figure figure NN A52264 562 237 thereof thereof RB A52264 562 238 may may MD A52264 562 239 stand stand VB A52264 562 240 under under IN A52264 562 241 the the DT A52264 562 242 first first JJ A52264 562 243 figure figure NN A52264 562 244 of of IN A52264 562 245 the the DT A52264 562 246 third third JJ A52264 562 247 quadrato quadrato NNP A52264 562 248 cubick cubick NN A52264 562 249 number number NN A52264 562 250 , , , A52264 562 251 and and CC A52264 562 252 against against IN A52264 562 253 this this DT A52264 562 254 number number NN A52264 562 255 I -PRON- PRP A52264 562 256 put put VBD A52264 562 257 in in IN A52264 562 258 the the DT A52264 562 259 margine margine NN A52264 562 260 5 5 CD A52264 562 261 aaaae aaaae NN A52264 562 262 , , , A52264 562 263 that that RB A52264 562 264 is is RB A52264 562 265 , , , A52264 562 266 five five CD A52264 562 267 times time NNS A52264 562 268 the the DT A52264 562 269 quadrato quadrato NNP A52264 562 270 quadrate quadrate NNP A52264 562 271 of of IN A52264 562 272 3 3 CD A52264 562 273 multiplied multiply VBN A52264 562 274 by by IN A52264 562 275 4 4 CD A52264 562 276 : : : A52264 562 277 next next IN A52264 562 278 270 270 CD A52264 562 279 , , , A52264 562 280 ten ten CD A52264 562 281 times time NNS A52264 562 282 the the DT A52264 562 283 cube cube NNP A52264 562 284 of of IN A52264 562 285 3 3 CD A52264 562 286 , , , A52264 562 287 by by IN A52264 562 288 16 16 CD A52264 562 289 the the DT A52264 562 290 square square NN A52264 562 291 of of IN A52264 562 292 4 4 CD A52264 562 293 , , , A52264 562 294 and and CC A52264 562 295 this this DT A52264 562 296 product product NN A52264 562 297 4320 4320 CD A52264 562 298 , , , A52264 562 299 I -PRON- PRP A52264 562 300 set set VBD A52264 562 301 under under IN A52264 562 302 the the DT A52264 562 303 former former JJ A52264 562 304 a a DT A52264 562 305 place place NN A52264 562 306 forwarder forwarder NN A52264 562 307 , , , A52264 562 308 and and CC A52264 562 309 90 90 CD A52264 562 310 , , , A52264 562 311 which which WDT A52264 562 312 is be VBZ A52264 562 313 10 10 CD A52264 562 314 times time NNS A52264 562 315 the the DT A52264 562 316 square square NN A52264 562 317 of of IN A52264 562 318 3 3 CD A52264 562 319 , , , A52264 562 320 I -PRON- PRP A52264 562 321 multiply multiply VBP A52264 562 322 by by IN A52264 562 323 64 64 CD A52264 562 324 , , , A52264 562 325 the the DT A52264 562 326 cube cube NNP A52264 562 327 of of IN A52264 562 328 4 4 CD A52264 562 329 , , , A52264 562 330 & & CC A52264 562 331 this this DT A52264 562 332 product product NN A52264 562 333 5760 5760 CD A52264 562 334 I -PRON- PRP A52264 562 335 set set VBD A52264 562 336 under under IN A52264 562 337 the the DT A52264 562 338 last last JJ A52264 562 339 a a DT A52264 562 340 place place NN A52264 562 341 forwarder forwarder NN A52264 562 342 then then RB A52264 562 343 that that DT A52264 562 344 , , , A52264 562 345 and and CC A52264 562 346 15 15 CD A52264 562 347 , , , A52264 562 348 which which WDT A52264 562 349 is be VBZ A52264 562 350 5 5 CD A52264 562 351 times time NNS A52264 562 352 3 3 CD A52264 562 353 , , , A52264 562 354 I -PRON- PRP A52264 562 355 multiply multiply VBP A52264 562 356 by by IN A52264 562 357 256 256 CD A52264 562 358 , , , A52264 562 359 the the DT A52264 562 360 quadrato quadrato NNP A52264 562 361 quadrate quadrate NNP A52264 562 362 of of IN A52264 562 363 4 4 CD A52264 562 364 , , , A52264 562 365 & & CC A52264 562 366 the the DT A52264 562 367 product product NN A52264 562 368 thereof thereof IN A52264 562 369 3840 3840 CD A52264 562 370 , , , A52264 562 371 I -PRON- PRP A52264 562 372 set set VBD A52264 562 373 under under IN A52264 562 374 the the DT A52264 562 375 third third JJ A52264 562 376 product product NN A52264 562 377 a a DT A52264 562 378 place place NN A52264 562 379 forwarder forwarder NN A52264 562 380 , , , A52264 562 381 and and CC A52264 562 382 1024 1024 CD A52264 562 383 , , , A52264 562 384 the the DT A52264 562 385 quadrato quadrato NNP A52264 562 386 cube cube NNP A52264 562 387 of of IN A52264 562 388 four four CD A52264 562 389 under under IN A52264 562 390 that that DT A52264 562 391 : : : A52264 562 392 lastly lastly RB A52264 562 393 , , , A52264 562 394 I -PRON- PRP A52264 562 395 multiply multiply VBP A52264 562 396 four four CD A52264 562 397 , , , A52264 562 398 the the DT A52264 562 399 last last JJ A52264 562 400 figure figure NN A52264 562 401 placed place VBN A52264 562 402 in in IN A52264 562 403 the the DT A52264 562 404 quotient quotient NN A52264 562 405 by by IN A52264 562 406 5 5 CD A52264 562 407 my -PRON- PRP$ A52264 562 408 divisor divisor NN A52264 562 409 , , , A52264 562 410 and and CC A52264 562 411 the the DT A52264 562 412 last last JJ A52264 562 413 figure figure NN A52264 562 414 of of IN A52264 562 415 this this DT A52264 562 416 product product NN A52264 562 417 I -PRON- PRP A52264 562 418 set set VBD A52264 562 419 under under IN A52264 562 420 5 5 CD A52264 562 421 my -PRON- PRP$ A52264 562 422 divisor divisor NN A52264 562 423 , , , A52264 562 424 and and CC A52264 562 425 supposing suppose VBG A52264 562 426 ciphers cipher NNS A52264 562 427 to to TO A52264 562 428 be be VB A52264 562 429 thereunto thereunto NNS A52264 562 430 annexed annex VBN A52264 562 431 , , , A52264 562 432 I -PRON- PRP A52264 562 433 collect collect VBP A52264 562 434 these these DT A52264 562 435 several several JJ A52264 562 436 products product NNS A52264 562 437 into into IN A52264 562 438 one one CD A52264 562 439 summe summe NN A52264 562 440 , , , A52264 562 441 and and CC A52264 562 442 their -PRON- PRP$ A52264 562 443 aggreagate aggreagate JJ A52264 562 444 20000021135424 20000021135424 CD A52264 562 445 , , , A52264 562 446 is be VBZ A52264 562 447 five five CD A52264 562 448 roots root NNS A52264 562 449 more more JJR A52264 562 450 one one CD A52264 562 451 quadrato quadrato NNP A52264 562 452 quadrate quadrate NN A52264 562 453 , , , A52264 562 454 under under IN A52264 562 455 which which WDT A52264 562 456 I -PRON- PRP A52264 562 457 draw draw VBP A52264 562 458 a a DT A52264 562 459 line line NN A52264 562 460 , , , A52264 562 461 and and CC A52264 562 462 seek seek VB A52264 562 463 the the DT A52264 562 464 five five CD A52264 562 465 cubes cube NNS A52264 562 466 to to TO A52264 562 467 be be VB A52264 562 468 substracted substracte VBN A52264 562 469 , , , A52264 562 470 thus thus RB A52264 562 471 . . . A52264 563 1 First first RB A52264 563 2 , , , A52264 563 3 I -PRON- PRP A52264 563 4 multiply multiply VBP A52264 563 5 135 135 CD A52264 563 6 ( ( -LRB- A52264 563 7 which which WDT A52264 563 8 is be VBZ A52264 563 9 thrice thrice NN A52264 563 10 the the DT A52264 563 11 square square NN A52264 563 12 of of IN A52264 563 13 three three CD A52264 563 14 multiplied multiply VBN A52264 563 15 by by IN A52264 563 16 five five CD A52264 563 17 my -PRON- PRP$ A52264 563 18 cubick cubick NN A52264 563 19 divisor divisor NN A52264 563 20 ) ) -RRB- A52264 563 21 by by IN A52264 563 22 four four CD A52264 563 23 , , , A52264 563 24 the the DT A52264 563 25 figure figure NN A52264 563 26 last last RB A52264 563 27 placed place VBN A52264 563 28 in in IN A52264 563 29 the the DT A52264 563 30 quotient quotient NN A52264 563 31 , , , A52264 563 32 and and CC A52264 563 33 the the DT A52264 563 34 product product NN A52264 563 35 thereof thereof IN A52264 563 36 540 540 CD A52264 563 37 I -PRON- PRP A52264 563 38 set set VBD A52264 563 39 under under IN A52264 563 40 the the DT A52264 563 41 last last JJ A52264 563 42 summe summe NN A52264 563 43 , , , A52264 563 44 so so IN A52264 563 45 as as IN A52264 563 46 the the DT A52264 563 47 last last JJ A52264 563 48 figure figure NN A52264 563 49 thereof thereof EX A52264 563 50 may may MD A52264 563 51 be be VB A52264 563 52 under under IN A52264 563 53 the the DT A52264 563 54 first first JJ A52264 563 55 figure figure NN A52264 563 56 of of IN A52264 563 57 the the DT A52264 563 58 third third JJ A52264 563 59 cube cube NN A52264 563 60 ; ; : A52264 563 61 next next RB A52264 563 62 I -PRON- PRP A52264 563 63 multiply multiply VBP A52264 563 64 45 45 CD A52264 563 65 that that WDT A52264 563 66 is is RB A52264 563 67 , , , A52264 563 68 five five CD A52264 563 69 times time NNS A52264 563 70 the the DT A52264 563 71 triple triple NN A52264 563 72 of of IN A52264 563 73 three three CD A52264 563 74 , , , A52264 563 75 by by IN A52264 563 76 16 16 CD A52264 563 77 the the DT A52264 563 78 square square NN A52264 563 79 of of IN A52264 563 80 four four CD A52264 563 81 , , , A52264 563 82 and and CC A52264 563 83 this this DT A52264 563 84 product product NN A52264 563 85 720 720 CD A52264 563 86 I -PRON- PRP A52264 563 87 set set VBD A52264 563 88 under under IN A52264 563 89 the the DT A52264 563 90 former former JJ A52264 563 91 a a DT A52264 563 92 place place NN A52264 563 93 forwarder forwarder NN A52264 563 94 , , , A52264 563 95 and and CC A52264 563 96 under under IN A52264 563 97 that that DT A52264 563 98 320 320 CD A52264 563 99 , , , A52264 563 100 which which WDT A52264 563 101 is be VBZ A52264 563 102 five five CD A52264 563 103 times time NNS A52264 563 104 the the DT A52264 563 105 cube cube NNP A52264 563 106 of of IN A52264 563 107 4 4 CD A52264 563 108 , , , A52264 563 109 a a DT A52264 563 110 place place NN A52264 563 111 forwarder forwarder NN A52264 563 112 too too RB A52264 563 113 , , , A52264 563 114 these these DT A52264 563 115 products product NNS A52264 563 116 drawn draw VBN A52264 563 117 into into IN A52264 563 118 one one CD A52264 563 119 summe summe NN A52264 563 120 do do VBP A52264 563 121 make make VB A52264 563 122 61520 61520 CD A52264 563 123 , , , A52264 563 124 the the DT A52264 563 125 five five CD A52264 563 126 cubes cube NNS A52264 563 127 to to IN A52264 563 128 the the DT A52264 563 129 substracted substracte VBN A52264 563 130 from from IN A52264 563 131 the the DT A52264 563 132 five five CD A52264 563 133 roots root NNS A52264 563 134 more more JJR A52264 563 135 one one CD A52264 563 136 quadrato quadrato NNP A52264 563 137 quadrate quadrate NN A52264 563 138 before before IN A52264 563 139 found find VBN A52264 563 140 , , , A52264 563 141 which which WDT A52264 563 142 being be VBG A52264 563 143 done do VBN A52264 563 144 , , , A52264 563 145 the the DT A52264 563 146 remainer remainer NN A52264 563 147 will will MD A52264 563 148 be be VB A52264 563 149 19938501135424 19938501135424 CD A52264 563 150 , , , A52264 563 151 and and CC A52264 563 152 this this DT A52264 563 153 remainer remainer NN A52264 563 154 being be VBG A52264 563 155 substracted substracte VBN A52264 563 156 from from IN A52264 563 157 the the DT A52264 563 158 figures figure NNS A52264 563 159 of of IN A52264 563 160 the the DT A52264 563 161 subtense subtense NN A52264 563 162 given give VBN A52264 563 163 over over IN A52264 563 164 the the DT A52264 563 165 head head NN A52264 563 166 thereof thereof RB A52264 563 167 , , , A52264 563 168 the the DT A52264 563 169 remainer remainer NN A52264 563 170 will will MD A52264 563 171 be be VB A52264 563 172 450.79600 450.79600 VBN A52264 563 173 . . . A52264 564 1 59892 59892 CD A52264 564 2 , , , A52264 564 3 and and CC A52264 564 4 because because IN A52264 564 5 such such PDT A52264 564 6 a a DT A52264 564 7 substraction substraction NN A52264 564 8 may may MD A52264 564 9 be be VB A52264 564 10 conveniently conveniently RB A52264 564 11 made make VBN A52264 564 12 , , , A52264 564 13 I -PRON- PRP A52264 564 14 conclude conclude VBP A52264 564 15 , , , A52264 564 16 that that IN A52264 564 17 I -PRON- PRP A52264 564 18 have have VBP A52264 564 19 found find VBN A52264 564 20 the the DT A52264 564 21 true true JJ A52264 564 22 quotient quotient NN A52264 564 23 , , , A52264 564 24 and and CC A52264 564 25 so so RB A52264 564 26 have have VBP A52264 564 27 I -PRON- PRP A52264 564 28 wrought work VBN A52264 564 29 twice twice RB A52264 564 30 . . . A52264 565 1 34 34 CD A52264 565 2 The the DT A52264 565 3 Sines Sines NNPS A52264 565 4 of of IN A52264 565 5 two two CD A52264 565 6 arches arch NNS A52264 565 7 equally equally RB A52264 565 8 distant distant JJ A52264 565 9 on on IN A52264 565 10 both both DT A52264 565 11 sides side NNS A52264 565 12 from from IN A52264 565 13 60 60 CD A52264 565 14 degrees degree NNS A52264 565 15 , , , A52264 565 16 being be VBG A52264 565 17 given give VBN A52264 565 18 , , , A52264 565 19 to to TO A52264 565 20 finde finde VB A52264 565 21 the the DT A52264 565 22 Sine Sine NNP A52264 565 23 of of IN A52264 565 24 the the DT A52264 565 25 distance distance NN A52264 565 26 . . . A52264 566 1 The the DT A52264 566 2 Rule Rule NNP A52264 566 3 . . . A52264 567 1 Take take VB A52264 567 2 the the DT A52264 567 3 difference difference NN A52264 567 4 of of IN A52264 567 5 the the DT A52264 567 6 Sines Sines NNPS A52264 567 7 given give VBN A52264 567 8 , , , A52264 567 9 and and CC A52264 567 10 that that DT A52264 567 11 difference difference NN A52264 567 12 shall shall MD A52264 567 13 be be VB A52264 567 14 the the DT A52264 567 15 Sine Sine NNP A52264 567 16 of of IN A52264 567 17 the the DT A52264 567 18 arch arch NN A52264 567 19 sought seek VBD A52264 567 20 . . . A52264 568 1 The the DT A52264 568 2 reason reason NN A52264 568 3 of of IN A52264 568 4 the the DT A52264 568 5 Rule Rule NNP A52264 568 6 . . . A52264 569 1 Let let VB A52264 569 2 CN CN NNP A52264 569 3 and and CC A52264 569 4 PN PN NNP A52264 569 5 be be VB A52264 569 6 the the DT A52264 569 7 two two CD A52264 569 8 arches arch NNS A52264 569 9 given give VBN A52264 569 10 , , , A52264 569 11 and and CC A52264 569 12 equally equally RB A52264 569 13 distant distant JJ A52264 569 14 from from IN A52264 569 15 60 60 CD A52264 569 16 deg deg NN A52264 569 17 . . . A52264 570 1 MN MN NNP A52264 570 2 , , , A52264 570 3 that that WDT A52264 570 4 is be VBZ A52264 570 5 equally equally RB A52264 570 6 distant distant JJ A52264 570 7 on on IN A52264 570 8 both both DT A52264 570 9 sides side NNS A52264 570 10 from from IN A52264 570 11 the the DT A52264 570 12 point point NN A52264 570 13 M. M. NNP A52264 570 14 And and CC A52264 570 15 let let VB A52264 570 16 the the DT A52264 570 17 right right JJ A52264 570 18 lines line NNS A52264 570 19 CK CK NNP A52264 570 20 and and CC A52264 570 21 PL PL NNP A52264 570 22 be be VBP A52264 570 23 the the DT A52264 570 24 Sines Sines NNPS A52264 570 25 of of IN A52264 570 26 those those DT A52264 570 27 arches arch NNS A52264 570 28 , , , A52264 570 29 being be VBG A52264 570 30 drawn draw VBN A52264 570 31 perpendicular perpendicular JJ A52264 570 32 to to IN A52264 570 33 the the DT A52264 570 34 right right JJ A52264 570 35 line line NN A52264 570 36 AN an NN A52264 570 37 , , , A52264 570 38 and and CC A52264 570 39 thereupon thereupon RB A52264 570 40 parallel parallel NN A52264 570 41 to to IN A52264 570 42 one one CD A52264 570 43 another another DT A52264 570 44 . . . A52264 571 1 Moreover moreover RB A52264 571 2 , , , A52264 571 3 let let VB A52264 571 4 the the DT A52264 571 5 right right JJ A52264 571 6 line line NN A52264 571 7 PT PT NNP A52264 571 8 be be VB A52264 571 9 drawn draw VBN A52264 571 10 perpendicular perpendicular JJ A52264 571 11 upon upon IN A52264 571 12 the the DT A52264 571 13 right right JJ A52264 571 14 line line NN A52264 571 15 CK CK NNP A52264 571 16 , , , A52264 571 17 and and CC A52264 571 18 so so RB A52264 571 19 parallel parallel JJ A52264 571 20 to to IN A52264 571 21 the the DT A52264 571 22 right right JJ A52264 571 23 line line NN A52264 571 24 KL KL NNP A52264 571 25 , , , A52264 571 26 then then RB A52264 571 27 this this DT A52264 571 28 right right JJ A52264 571 29 line line NN A52264 571 30 TP TP NNP A52264 571 31 cutteth cutteth NN A52264 571 32 from from IN A52264 571 33 the the DT A52264 571 34 right right JJ A52264 571 35 line line NN A52264 571 36 CK CK NNP A52264 571 37 another another DT A52264 571 38 line line NN A52264 571 39 TK TK NNP A52264 571 40 , , , A52264 571 41 equal equal JJ A52264 571 42 unto unto IN A52264 571 43 PL PL NNP A52264 571 44 , , , A52264 571 45 by by IN A52264 571 46 the the DT A52264 571 47 15 15 CD A52264 571 48 of of IN A52264 571 49 the the DT A52264 571 50 second second JJ A52264 571 51 , , , A52264 571 52 and and CC A52264 571 53 leaveth leaveth VB A52264 571 54 the the DT A52264 571 55 right right JJ A52264 571 56 line line NN A52264 571 57 TC TC NNP A52264 571 58 for for IN A52264 571 59 the the DT A52264 571 60 difference difference NN A52264 571 61 of of IN A52264 571 62 the the DT A52264 571 63 Sines Sines NNP A52264 571 64 CK CK NNP A52264 571 65 and and CC A52264 571 66 PL PL NNP A52264 571 67 . . . A52264 572 1 Lastly lastly RB A52264 572 2 , , , A52264 572 3 the the DT A52264 572 4 Sines Sines NNPS A52264 572 5 of of IN A52264 572 6 the the DT A52264 572 7 distance distance NN A52264 572 8 of of IN A52264 572 9 either either DT A52264 572 10 of of IN A52264 572 11 them -PRON- PRP A52264 572 12 from from IN A52264 572 13 60 60 CD A52264 572 14 degrees degree NNS A52264 572 15 let let VBP A52264 572 16 be be VB A52264 572 17 the the DT A52264 572 18 right right JJ A52264 572 19 line line NN A52264 572 20 CD cd NN A52264 572 21 or or CC A52264 572 22 DP DP NNP A52264 572 23 , , , A52264 572 24 I -PRON- PRP A52264 572 25 say say VBP A52264 572 26 , , , A52264 572 27 that that IN A52264 572 28 the the DT A52264 572 29 right right JJ A52264 572 30 line line NN A52264 572 31 TC TC NNP A52264 572 32 is be VBZ A52264 572 33 equal equal JJ A52264 572 34 to to IN A52264 572 35 the the DT A52264 572 36 right right JJ A52264 572 37 line line NN A52264 572 38 CD cd NN A52264 572 39 or or CC A52264 572 40 DP dp NN A52264 572 41 . . . A52264 573 1 Demonstration demonstration NN A52264 573 2 . . . A52264 574 1 Example example NN A52264 574 2 . . . A52264 575 1 Let let VB A52264 575 2 the the DT A52264 575 3 arches arch NNS A52264 575 4 CN CN NNP A52264 575 5 be be VB A52264 575 6 70 70 CD A52264 575 7 degrees degree NNS A52264 575 8 , , , A52264 575 9 PN PN NNP A52264 575 10 50 50 CD A52264 575 11 , , , A52264 575 12 CM CM NNP A52264 575 13 or or CC A52264 575 14 PM pm NN A52264 575 15 10 10 CD A52264 575 16 degrees degree NNS A52264 575 17 ; ; : A52264 575 18 for for IN A52264 575 19 so so RB A52264 575 20 many many JJ A52264 575 21 degrees degree NNS A52264 575 22 are be VBP A52264 575 23 the the DT A52264 575 24 arches arch NNS A52264 575 25 of of IN A52264 575 26 70 70 CD A52264 575 27 degrees degree NNS A52264 575 28 ; ; : A52264 575 29 and and CC A52264 575 30 50 50 CD A52264 575 31 degrees degree NNS A52264 575 32 distant distant JJ A52264 575 33 from from IN A52264 575 34 the the DT A52264 575 35 arch arch NN A52264 575 36 of of IN A52264 575 37 60 60 CD A52264 575 38 degrees degree NNS A52264 575 39 on on IN A52264 575 40 both both DT A52264 575 41 sides side NNS A52264 575 42 . . . A52264 576 1 And and CC A52264 576 2 let let VB A52264 576 3 first first RB A52264 576 4 the the DT A52264 576 5 Sines Sines NNPS A52264 576 6 of of IN A52264 576 7 70 70 CD A52264 576 8 degrees degree NNS A52264 576 9 and and CC A52264 576 10 10 10 CD A52264 576 11 degrees degree NNS A52264 576 12 be be VB A52264 576 13 given give VBN A52264 576 14 , , , A52264 576 15 and and CC A52264 576 16 let let VB A52264 576 17 the the DT A52264 576 18 Sine Sine NNP A52264 576 19 of of IN A52264 576 20 50 50 CD A52264 576 21 degrees degree NNS A52264 576 22 be be VB A52264 576 23 demanded demand VBN A52264 576 24 . . . A52264 577 1 From from IN A52264 577 2 the the DT A52264 577 3 Sine Sine NNP A52264 577 4 of of IN A52264 577 5 70d 70d NNPS A52264 577 6 . . . A52264 578 1 CK CK NNP A52264 578 2 9396926 9396926 CD A52264 578 3 Subtract subtract VB A52264 578 4 the the DT A52264 578 5 Sine Sine NNP A52264 578 6 of of IN A52264 578 7 10d 10d NNS A52264 578 8 . . . A52264 579 1 CD cd NN A52264 579 2 or or CC A52264 579 3 CT CT NNP A52264 579 4 , , , A52264 579 5 1736482 1736482 CD A52264 579 6         _SP A52264 579 7 The the DT A52264 579 8 Remainer Remainer NNP A52264 579 9 will will MD A52264 579 10 be be VB A52264 579 11 the the DT A52264 579 12 Sine Sine NNP A52264 579 13 of of IN A52264 579 14 50d 50d NNS A52264 579 15 . . . A52264 580 1 TK TK NNP A52264 580 2 or or CC A52264 580 3 PL PL NNP A52264 580 4 , , , A52264 580 5 7660444 7660444 CD A52264 580 6 Then then RB A52264 580 7 let let VB A52264 580 8 the the DT A52264 580 9 Sine Sine NNP A52264 580 10 of of IN A52264 580 11 70 70 CD A52264 580 12 degrees degree NNS A52264 580 13 and and CC A52264 580 14 50 50 CD A52264 580 15 degrees degree NNS A52264 580 16 be be VB A52264 580 17 given give VBN A52264 580 18 , , , A52264 580 19 and and CC A52264 580 20 let let VB A52264 580 21 the the DT A52264 580 22 Sine Sine NNP A52264 580 23 of of IN A52264 580 24 ten ten CD A52264 580 25 degrees degree NNS A52264 580 26 be be VB A52264 580 27 demanded demand VBN A52264 580 28 . . . A52264 581 1 From from IN A52264 581 2 the the DT A52264 581 3 Sine Sine NNP A52264 581 4 of of IN A52264 581 5 70 70 CD A52264 581 6 degrees degree NNS A52264 581 7 CK CK NNP A52264 581 8 , , , A52264 581 9 9396926 9396926 CD A52264 581 10 Substract substract VB A52264 581 11 the the DT A52264 581 12 Sine Sine NNP A52264 581 13 of of IN A52264 581 14 50d 50d NNS A52264 581 15 . . . A52264 582 1 TK TK NNP A52264 582 2 or or CC A52264 582 3 PL PL NNP A52264 582 4 , , , A52264 582 5 7660444 7660444 CD A52264 582 6         _SP A52264 582 7 Remainer Remainer NNP A52264 582 8 is be VBZ A52264 582 9 the the DT A52264 582 10 Sine Sine NNP A52264 582 11 of of IN A52264 582 12 10d 10d NNS A52264 582 13 . . . A52264 583 1 CD cd NN A52264 583 2 , , , A52264 583 3 1736482 1736482 CD A52264 583 4 Lastly Lastly NNP A52264 583 5 , , , A52264 583 6 let let VBD A52264 583 7 the the DT A52264 583 8 Sines Sines NNPS A52264 583 9 of of IN A52264 583 10 50 50 CD A52264 583 11 degrees degree NNS A52264 583 12 and and CC A52264 583 13 10 10 CD A52264 583 14 degrees degree NNS A52264 583 15 be be VB A52264 583 16 given give VBN A52264 583 17 , , , A52264 583 18 and and CC A52264 583 19 let let VB A52264 583 20 the the DT A52264 583 21 Sine Sine NNP A52264 583 22 of of IN A52264 583 23 70 70 CD A52264 583 24 degrees degree NNS A52264 583 25 be be VB A52264 583 26 demanded demand VBN A52264 583 27 . . . A52264 584 1 To to IN A52264 584 2 the the DT A52264 584 3 Sine Sine NNP A52264 584 4 of of IN A52264 584 5 50d 50d NNS A52264 584 6 . . . A52264 585 1 PL PL NNP A52264 585 2 or or CC A52264 585 3 TK TK NNP A52264 585 4 , , , A52264 585 5 7660444 7660444 CD A52264 585 6 Adde Adde NNP A52264 585 7 the the DT A52264 585 8 Sine Sine NNP A52264 585 9 of of IN A52264 585 10 10d 10d NNS A52264 585 11 . . . A52264 586 1 DP dp NN A52264 586 2 or or CC A52264 586 3 TC TC NNP A52264 586 4 , , , A52264 586 5 1736482 1736482 CD A52264 586 6         _SP A52264 586 7 Their -PRON- PRP$ A52264 586 8 sum sum NN A52264 586 9 will will MD A52264 586 10 be be VB A52264 586 11 the the DT A52264 586 12 Sine Sine NNP A52264 586 13 of of IN A52264 586 14 70d 70d NNPS A52264 586 15 . . . A52264 587 1 9396926 9396926 CD A52264 587 2 And and CC A52264 587 3 thus thus RB A52264 587 4 far far RB A52264 587 5 of of IN A52264 587 6 the the DT A52264 587 7 making making NN A52264 587 8 of of IN A52264 587 9 the the DT A52264 587 10 Tables Tables NNPS A52264 587 11 of of IN A52264 587 12 right right JJ A52264 587 13 Sines Sines NNPS A52264 587 14 , , , A52264 587 15 the the DT A52264 587 16 Tables Tables NNPS A52264 587 17 of of IN A52264 587 18 versed versed JJ A52264 587 19 Sines Sines NNPS A52264 587 20 are be VBP A52264 587 21 not not RB A52264 587 22 necessary necessary JJ A52264 587 23 , , , A52264 587 24 as as IN A52264 587 25 hath hath NNP A52264 587 26 been be VBN A52264 587 27 said say VBD A52264 587 28 CHAP CHAP NNP A52264 587 29 . . . A52264 588 1 IV IV NNP A52264 588 2 . . . A52264 589 1 By by IN A52264 589 2 the the DT A52264 589 3 Tables Tables NNPS A52264 589 4 of of IN A52264 589 5 Sines Sines NNPS A52264 589 6 to to TO A52264 589 7 make make VB A52264 589 8 the the DT A52264 589 9 Tables Tables NNPS A52264 589 10 of of IN A52264 589 11 Tangents Tangents NNPS A52264 589 12 and and CC A52264 589 13 Secants Secants NNPS A52264 589 14 . . . A52264 590 1 1 1 LS A52264 590 2 . . . A52264 591 1 AS as IN A52264 591 2 the the DT A52264 591 3 Sine Sine NNP A52264 591 4 of of IN A52264 591 5 the the DT A52264 591 6 complement complement NN A52264 591 7 , , , A52264 591 8 Is be VBZ A52264 591 9 to to IN A52264 591 10 the the DT A52264 591 11 Sine Sine NNP A52264 591 12 of of IN A52264 591 13 an an DT A52264 591 14 arch arch NN A52264 591 15 : : : A52264 591 16 so so RB A52264 591 17 is be VBZ A52264 591 18 the the DT A52264 591 19 Radius Radius NNP A52264 591 20 , , , A52264 591 21 to to IN A52264 591 22 the the DT A52264 591 23 tangent tangent NN A52264 591 24 of of IN A52264 591 25 that that DT A52264 591 26 arch arch NN A52264 591 27 . . . A52264 592 1 2 2 LS A52264 592 2 . . . A52264 593 1 As as IN A52264 593 2 the the DT A52264 593 3 Sine Sine NNP A52264 593 4 of of IN A52264 593 5 the the DT A52264 593 6 complement complement NN A52264 593 7 , , , A52264 593 8 is be VBZ A52264 593 9 to to IN A52264 593 10 the the DT A52264 593 11 Radius radius NN A52264 593 12 ; ; : A52264 593 13 so so RB A52264 593 14 is be VBZ A52264 593 15 the the DT A52264 593 16 Radius Radius NNP A52264 593 17 , , , A52264 593 18 to to IN A52264 593 19 the the DT A52264 593 20 secant secant NN A52264 593 21 of of IN A52264 593 22 that that DT A52264 593 23 arch arch NN A52264 593 24 . . . A52264 594 1 For for IN A52264 594 2 , , , A52264 594 3 by by IN A52264 594 4 the the DT A52264 594 5 16 16 CD A52264 594 6 th th NN A52264 594 7 . . . A52264 595 1 of of IN A52264 595 2 the the DT A52264 595 3 second second JJ A52264 595 4 : : : A52264 595 5 1 1 CD A52264 595 6 . . . A52264 596 1 As as IN A52264 596 2 the the DT A52264 596 3 Sine Sine NNP A52264 596 4 of of IN A52264 596 5 the the DT A52264 596 6 complement complement JJ A52264 596 7 AB AB NNP A52264 596 8 , , , A52264 596 9 is be VBZ A52264 596 10 to to IN A52264 596 11 the the DT A52264 596 12 Sine Sine NNP A52264 596 13 CA CA NNP A52264 596 14 : : : A52264 596 15 so so RB A52264 596 16 is be VBZ A52264 596 17 the the DT A52264 596 18 Radius Radius NNP A52264 596 19 BD BD NNP A52264 596 20 or or CC A52264 596 21 BC BC NNP A52264 596 22 , , , A52264 596 23 to to IN A52264 596 24 DF DF NNP A52264 596 25 the the DT A52264 596 26 tangent tangent NN A52264 596 27 . . . A52264 597 1 2 2 LS A52264 597 2 . . . A52264 598 1 As as IN A52264 598 2 the the DT A52264 598 3 sine sine NN A52264 598 4 of of IN A52264 598 5 the the DT A52264 598 6 complement complement JJ A52264 598 7 AB AB NNP A52264 598 8 , , , A52264 598 9 is be VBZ A52264 598 10 to to IN A52264 598 11 the the DT A52264 598 12 Radius Radius NNP A52264 598 13 BD BD NNP A52264 598 14 or or CC A52264 598 15 BC BC NNP A52264 598 16 : : : A52264 598 17 so so RB A52264 598 18 is be VBZ A52264 598 19 the the DT A52264 598 20 Radius Radius NNP A52264 598 21 BC BC NNP A52264 598 22 , , , A52264 598 23 to to IN A52264 598 24 the the DT A52264 598 25 secant secant NN A52264 598 26 BF BF NNP A52264 598 27 . . . A52264 599 1 Example example NN A52264 599 2 . . . A52264 600 1 Let let VB A52264 600 2 the the DT A52264 600 3 tangent tangent NN A52264 600 4 and and CC A52264 600 5 secant secant NN A52264 600 6 of of IN A52264 600 7 the the DT A52264 600 8 arch arch JJ A52264 600 9 CD cd NN A52264 600 10 30 30 CD A52264 600 11 degrees degree NNS A52264 600 12 be be VB A52264 600 13 sought seek VBN A52264 600 14 for for IN A52264 600 15 . . . A52264 601 1 The the DT A52264 601 2 sine sine NN A52264 601 3 AC AC NNP A52264 601 4 30 30 CD A52264 601 5 degrees degree NNS A52264 601 6 is be VBZ A52264 601 7 5000000 5000000 CD A52264 601 8 , , , A52264 601 9 the the DT A52264 601 10 sine sine NN A52264 601 11 of of IN A52264 601 12 the the DT A52264 601 13 complement complement JJ A52264 601 14 AB AB NNP A52264 601 15 60 60 CD A52264 601 16 degrees degree NNS A52264 601 17 is be VBZ A52264 601 18 8660254 8660254 CD A52264 601 19 . . . A52264 602 1 Now now RB A52264 602 2 then then RB A52264 602 3 if if IN A52264 602 4 you -PRON- PRP A52264 602 5 multiply multiply VBP A52264 602 6 the the DT A52264 602 7 sine sine NN A52264 602 8 AC AC NNP A52264 602 9 5000000 5000000 CD A52264 602 10 , , , A52264 602 11 by by IN A52264 602 12 the the DT A52264 602 13 Radius Radius NNP A52264 602 14 CB CB NNP A52264 602 15 10000000 10000000 CD A52264 602 16 , , , A52264 602 17 the the DT A52264 602 18 product product NN A52264 602 19 wil wil NN A52264 602 20 be be VB A52264 602 21 50000000000000 50000000000000 CD A52264 602 22 , , , A52264 602 23 which which WDT A52264 602 24 divided divide VBN A52264 602 25 by by IN A52264 602 26 the the DT A52264 602 27 sine sine NN A52264 602 28 of of IN A52264 602 29 the the DT A52264 602 30 complement complement NN A52264 602 31 AB AB NNP A52264 602 32 8660254 8660254 CD A52264 602 33 : : : A52264 602 34 the the DT A52264 602 35 quotient quotient NN A52264 602 36 will will MD A52264 602 37 be be VB A52264 602 38 5773503 5773503 CD A52264 602 39 , , , A52264 602 40 the the DT A52264 602 41 right right JJ A52264 602 42 line line NN A52264 602 43 FD FD NNP A52264 602 44 or or CC A52264 602 45 the the DT A52264 602 46 tangent tangent NN A52264 602 47 of of IN A52264 602 48 the the DT A52264 602 49 arch arch NN A52264 602 50 of of IN A52264 602 51 30 30 CD A52264 602 52 degrees degree NNS A52264 602 53 . . . A52264 603 1 2 2 LS A52264 603 2 . . . A52264 604 1 As as IN A52264 604 2 the the DT A52264 604 3 sine sine NN A52264 604 4 of of IN A52264 604 5 the the DT A52264 604 6 complement complement NN A52264 604 7 AB AB NNP A52264 604 8 8660254 8660254 CD A52264 604 9 , , , A52264 604 10 Is be VBZ A52264 604 11 to to IN A52264 604 12 the the DT A52264 604 13 Radius Radius NNP A52264 604 14 DB DB NNP A52264 604 15 10000000 10000000 CD A52264 604 16 : : : A52264 604 17 so so RB A52264 604 18 is be VBZ A52264 604 19 the the DT A52264 604 20 Radius Radius NNP A52264 604 21 BC BC NNP A52264 604 22 10000000 10000000 CD A52264 604 23 , , , A52264 604 24 to to IN A52264 604 25 FB FB NNP A52264 604 26 , , , A52264 604 27 the the DT A52264 604 28 secant secant NN A52264 604 29 of of IN A52264 604 30 the the DT A52264 604 31 arch arch NN A52264 604 32 of of IN A52264 604 33 30 30 CD A52264 604 34 degrees degree NNS A52264 604 35 : : : A52264 604 36 and and CC A52264 604 37 so so RB A52264 604 38 for for IN A52264 604 39 any any DT A52264 604 40 other other JJ A52264 604 41 : : : A52264 604 42 but but CC A52264 604 43 with with IN A52264 604 44 more more JJR A52264 604 45 ease ease NN A52264 604 46 by by IN A52264 604 47 the the DT A52264 604 48 help help NN A52264 604 49 of of IN A52264 604 50 these these DT A52264 604 51 Theorems Theorems NNPS A52264 604 52 following follow VBG A52264 604 53 . . . A52264 605 1 Theorem theorem NN A52264 605 2 1 1 CD A52264 605 3 . . . A52264 606 1 The the DT A52264 606 2 difference difference NN A52264 606 3 of of IN A52264 606 4 the the DT A52264 606 5 Tangents tangent NNS A52264 606 6 of of IN A52264 606 7 any any DT A52264 606 8 two two CD A52264 606 9 arches arch NNS A52264 606 10 making make VBG A52264 606 11 a a DT A52264 606 12 Quadrant Quadrant NNP A52264 606 13 , , , A52264 606 14 is be VBZ A52264 606 15 double double JJ A52264 606 16 to to IN A52264 606 17 the the DT A52264 606 18 tangent tangent NN A52264 606 19 of of IN A52264 606 20 the the DT A52264 606 21 difference difference NN A52264 606 22 of of IN A52264 606 23 those those DT A52264 606 24 arches arch NNS A52264 606 25 The the DT A52264 606 26 Declaration Declaration NNP A52264 606 27 . . . A52264 607 1 Let let VB A52264 607 2 the the DT A52264 607 3 two two CD A52264 607 4 arches arch NNS A52264 607 5 making make VBG A52264 607 6 a a DT A52264 607 7 Quadrant Quadrant NNP A52264 607 8 be be VB A52264 607 9 CD cd NN A52264 607 10 and and CC A52264 607 11 BD BD NNP A52264 607 12 , , , A52264 607 13 whose whose WP$ A52264 607 14 tangents tangent NNS A52264 607 15 are be VBP A52264 607 16 CG CG NNP A52264 607 17 and and CC A52264 607 18 BP BP NNP A52264 607 19 , , , A52264 607 20 and and CC A52264 607 21 let let VB A52264 607 22 BS BS NNP A52264 607 23 be be VB A52264 607 24 an an DT A52264 607 25 arch arch NN A52264 607 26 made make VBN A52264 607 27 equall equall NN A52264 607 28 to to IN A52264 607 29 CD cd NN A52264 607 30 ; ; : A52264 607 31 and and CC A52264 607 32 then then RB A52264 607 33 SD SD NNP A52264 607 34 will will MD A52264 607 35 be be VB A52264 607 36 the the DT A52264 607 37 arch arch NN A52264 607 38 of of IN A52264 607 39 the the DT A52264 607 40 difference difference NN A52264 607 41 of of IN A52264 607 42 the the DT A52264 607 43 two two CD A52264 607 44 given give VBN A52264 607 45 arches arch NNS A52264 607 46 CD CD NNP A52264 607 47 or or CC A52264 607 48 BS BS NNP A52264 607 49 , , , A52264 607 50 and and CC A52264 607 51 BD BD NNP A52264 607 52 . . . A52264 608 1 And and CC A52264 608 2 also also RB A52264 608 3 let let VB A52264 608 4 the the DT A52264 608 5 tangent tangent NN A52264 608 6 BT BT NNP A52264 608 7 be be VB A52264 608 8 equal equal JJ A52264 608 9 to to IN A52264 608 10 the the DT A52264 608 11 tangent tangent NN A52264 608 12 CG CG NNP A52264 608 13 , , , A52264 608 14 and and CC A52264 608 15 then then RB A52264 608 16 the the DT A52264 608 17 right right JJ A52264 608 18 line line NN A52264 608 19 TP TP NNP A52264 608 20 will will MD A52264 608 21 be be VB A52264 608 22 the the DT A52264 608 23 difference difference NN A52264 608 24 of of IN A52264 608 25 the the DT A52264 608 26 tangents tangent NNS A52264 608 27 given give VBN A52264 608 28 CG CG NNP A52264 608 29 or or CC A52264 608 30 BT BT NNP A52264 608 31 , , , A52264 608 32 and and CC A52264 608 33 BP BP NNP A52264 608 34 . . . A52264 609 1 Lastly lastly RB A52264 609 2 , , , A52264 609 3 let let VB A52264 609 4 the the DT A52264 609 5 arches arch NNS A52264 609 6 BL BL NNP A52264 609 7 and and CC A52264 609 8 BO BO NNP A52264 609 9 ( ( -LRB- A52264 609 10 whose whose WP$ A52264 609 11 tangents tangent NNS A52264 609 12 are be VBP A52264 609 13 BK BK NNP A52264 609 14 and and CC A52264 609 15 BM BM NNP A52264 609 16 ) ) -RRB- A52264 609 17 be be VB A52264 609 18 made make VBN A52264 609 19 equal equal JJ A52264 609 20 to to IN A52264 609 21 the the DT A52264 609 22 arch arch JJ A52264 609 23 SD sd NN A52264 609 24 ; ; : A52264 609 25 I -PRON- PRP A52264 609 26 say say VBP A52264 609 27 , , , A52264 609 28 the the DT A52264 609 29 right right JJ A52264 609 30 line line NN A52264 609 31 TP TP NNP A52264 609 32 being be VBG A52264 609 33 the the DT A52264 609 34 difference difference NN A52264 609 35 of of IN A52264 609 36 the the DT A52264 609 37 two two CD A52264 609 38 given give VBN A52264 609 39 tangents tangent NNS A52264 609 40 , , , A52264 609 41 CG CG NNP A52264 609 42 and and CC A52264 609 43 BP BP NNP A52264 609 44 is be VBZ A52264 609 45 double double JJ A52264 609 46 to to IN A52264 609 47 the the DT A52264 609 48 right right JJ A52264 609 49 line line NN A52264 609 50 BK BK NNP A52264 609 51 , , , A52264 609 52 being be VBG A52264 609 53 the the DT A52264 609 54 tangent tangent NN A52264 609 55 of of IN A52264 609 56 the the DT A52264 609 57 difference difference NN A52264 609 58 of of IN A52264 609 59 the the DT A52264 609 60 two two CD A52264 609 61 given give VBN A52264 609 62 arches arch NNS A52264 609 63 ; ; : A52264 609 64 or or CC A52264 609 65 which which WDT A52264 609 66 is be VBZ A52264 609 67 all all DT A52264 609 68 one one CD A52264 609 69 , , , A52264 609 70 I -PRON- PRP A52264 609 71 say say VBP A52264 609 72 , , , A52264 609 73 that that IN A52264 609 74 the the DT A52264 609 75 right right JJ A52264 609 76 line line NN A52264 609 77 TP TP NNP A52264 609 78 is be VBZ A52264 609 79 equal equal JJ A52264 609 80 to to IN A52264 609 81 the the DT A52264 609 82 right right JJ A52264 609 83 line line NN A52264 609 84 MK MK NNP A52264 609 85 . . . A52264 610 1 Demonstration demonstration NN A52264 610 2 . . . A52264 611 1 Then then RB A52264 611 2 that that IN A52264 611 3 the the DT A52264 611 4 right right JJ A52264 611 5 line line NN A52264 611 6 MT MT NNP A52264 611 7 is be VBZ A52264 611 8 equall equall JJ A52264 611 9 to to IN A52264 611 10 the the DT A52264 611 11 right right JJ A52264 611 12 line line NN A52264 611 13 KA KA NNP A52264 611 14 is be VBZ A52264 611 15 thus thus RB A52264 611 16 proved prove VBN A52264 611 17 ; ; : A52264 611 18 the the DT A52264 611 19 right right JJ A52264 611 20 line line NN A52264 611 21 MA MA NNP A52264 611 22 is be VBZ A52264 611 23 equall equall JJ A52264 611 24 to to IN A52264 611 25 the the DT A52264 611 26 right right JJ A52264 611 27 line line NN A52264 611 28 KA KA NNP A52264 611 29 , , , A52264 611 30 by by IN A52264 611 31 the the DT A52264 611 32 work work NN A52264 611 33 , , , A52264 611 34 but but CC A52264 611 35 the the DT A52264 611 36 right right JJ A52264 611 37 line line NN A52264 611 38 MT MT NNP A52264 611 39 is be VBZ A52264 611 40 equal equal JJ A52264 611 41 to to IN A52264 611 42 the the DT A52264 611 43 right right JJ A52264 611 44 line line NN A52264 611 45 MA MA NNP A52264 611 46 , , , A52264 611 47 and and CC A52264 611 48 therefore therefore RB A52264 611 49 it -PRON- PRP A52264 611 50 is be VBZ A52264 611 51 also also RB A52264 611 52 equall equall JJ A52264 611 53 to to IN A52264 611 54 the the DT A52264 611 55 right right JJ A52264 611 56 line line NN A52264 611 57 KA KA NNP A52264 611 58 . . . A52264 612 1 That that IN A52264 612 2 the the DT A52264 612 3 right right JJ A52264 612 4 line line NN A52264 612 5 MT MT NNP A52264 612 6 is be VBZ A52264 612 7 equal equal JJ A52264 612 8 to to IN A52264 612 9 the the DT A52264 612 10 right right JJ A52264 612 11 line line NN A52264 612 12 MA MA NNP A52264 612 13 doth doth NN A52264 612 14 thus thus RB A52264 612 15 appear appear VBP A52264 612 16 : : : A52264 612 17 for for IN A52264 612 18 that that DT A52264 612 19 the the DT A52264 612 20 angles angle NNS A52264 612 21 MAT MAT NNP A52264 612 22 and and CC A52264 612 23 MTA MTA NNP A52264 612 24 are be VBP A52264 612 25 equall equall JJ A52264 612 26 ; ; : A52264 612 27 and and CC A52264 612 28 therefore therefore RB A52264 612 29 the the DT A52264 612 30 sides side NNS A52264 612 31 opposite opposite JJ A52264 612 32 unto unto IN A52264 612 33 them -PRON- PRP A52264 612 34 are be VBP A52264 612 35 equal equal JJ A52264 612 36 , , , A52264 612 37 for for IN A52264 612 38 equall equall NN A52264 612 39 sides side NNS A52264 612 40 subtend subtend VBP A52264 612 41 equall equall NN A52264 612 42 angles angle NNS A52264 612 43 : : : A52264 612 44 and and CC A52264 612 45 the the DT A52264 612 46 angles angle NNS A52264 612 47 MTA MTA NNP A52264 612 48 and and CC A52264 612 49 MAT MAT NNP A52264 612 50 are be VBP A52264 612 51 equal equal JJ A52264 612 52 , , , A52264 612 53 because because IN A52264 612 54 the the DT A52264 612 55 angle angle NN A52264 612 56 MTA MTA NNP A52264 612 57 is be VBZ A52264 612 58 equal equal JJ A52264 612 59 to to IN A52264 612 60 the the DT A52264 612 61 angle angle NN A52264 612 62 TAC TAC NNP A52264 612 63 , , , A52264 612 64 by by IN A52264 612 65 the the DT A52264 612 66 like like JJ A52264 612 67 reason reason NN A52264 612 68 , , , A52264 612 69 that that IN A52264 612 70 the the DT A52264 612 71 angle angle NN A52264 612 72 KPA KPA NNP A52264 612 73 is be VBZ A52264 612 74 equal equal JJ A52264 612 75 to to IN A52264 612 76 the the DT A52264 612 77 angle angle NN A52264 612 78 DAC DAC NNP A52264 612 79 ; ; : A52264 612 80 and and CC A52264 612 81 the the DT A52264 612 82 angle angle NN A52264 612 83 MAT MAT NNP A52264 612 84 is be VBZ A52264 612 85 equall equall JJ A52264 612 86 to to IN A52264 612 87 the the DT A52264 612 88 angle angle NN A52264 612 89 TAC TAC NNP A52264 612 90 , , , A52264 612 91 by by IN A52264 612 92 the the DT A52264 612 93 proposition proposition NN A52264 612 94 : : : A52264 612 95 for for IN A52264 612 96 the the DT A52264 612 97 arches arch NNS A52264 612 98 CS CS NNP A52264 612 99 and and CC A52264 612 100 SO SO NNP A52264 612 101 are be VBP A52264 612 102 put put VBN A52264 612 103 to to TO A52264 612 104 be be VB A52264 612 105 equal equal JJ A52264 612 106 : : : A52264 612 107 therefore therefore RB A52264 612 108 it -PRON- PRP A52264 612 109 followes follow VBZ A52264 612 110 , , , A52264 612 111 that that IN A52264 612 112 they -PRON- PRP A52264 612 113 are be VBP A52264 612 114 also also RB A52264 612 115 equal equal JJ A52264 612 116 one one NN A52264 612 117 to to IN A52264 612 118 another another DT A52264 612 119 . . . A52264 613 1 Generally generally RB A52264 613 2 therefore therefore RB A52264 613 3 , , , A52264 613 4 the the DT A52264 613 5 difference difference NN A52264 613 6 of of IN A52264 613 7 the the DT A52264 613 8 tangents tangent NNS A52264 613 9 of of IN A52264 613 10 two two CD A52264 613 11 arches arch NNS A52264 613 12 , , , A52264 613 13 making make VBG A52264 613 14 a a DT A52264 613 15 Quadrant Quadrant NNP A52264 613 16 , , , A52264 613 17 is be VBZ A52264 613 18 double double JJ A52264 613 19 to to IN A52264 613 20 the the DT A52264 613 21 tangent tangent NN A52264 613 22 of of IN A52264 613 23 the the DT A52264 613 24 difference difference NN A52264 613 25 of of IN A52264 613 26 those those DT A52264 613 27 arches arch NNS A52264 613 28 , , , A52264 613 29 which which WDT A52264 613 30 was be VBD A52264 613 31 to to TO A52264 613 32 be be VB A52264 613 33 demonstrated demonstrate VBN A52264 613 34 . . . A52264 614 1 And and CC A52264 614 2 by by IN A52264 614 3 consequence consequence NNP A52264 614 4 , , , A52264 614 5 the the DT A52264 614 6 tangents tangent NNS A52264 614 7 of of IN A52264 614 8 two two CD A52264 614 9 arches arch NNS A52264 614 10 being be VBG A52264 614 11 given give VBN A52264 614 12 , , , A52264 614 13 making make VBG A52264 614 14 a a DT A52264 614 15 Quadrant Quadrant NNP A52264 614 16 , , , A52264 614 17 the the DT A52264 614 18 tangent tangent NN A52264 614 19 of of IN A52264 614 20 the the DT A52264 614 21 difference difference NN A52264 614 22 of of IN A52264 614 23 those those DT A52264 614 24 arches arch NNS A52264 614 25 is be VBZ A52264 614 26 also also RB A52264 614 27 given give VBN A52264 614 28 . . . A52264 615 1 And and CC A52264 615 2 contrarily contrarily RB A52264 615 3 , , , A52264 615 4 the the DT A52264 615 5 tangent tangent NN A52264 615 6 of of IN A52264 615 7 the the DT A52264 615 8 difference difference NN A52264 615 9 of of IN A52264 615 10 those those DT A52264 615 11 two two CD A52264 615 12 arches arch NNS A52264 615 13 being be VBG A52264 615 14 given give VBN A52264 615 15 , , , A52264 615 16 together together RB A52264 615 17 with with IN A52264 615 18 the the DT A52264 615 19 tangent tangent NN A52264 615 20 of of IN A52264 615 21 one one CD A52264 615 22 of of IN A52264 615 23 the the DT A52264 615 24 arches arch NNS A52264 615 25 ; ; : A52264 615 26 the the DT A52264 615 27 tangent tangent NN A52264 615 28 of of IN A52264 615 29 the the DT A52264 615 30 other other JJ A52264 615 31 arch arch NN A52264 615 32 is be VBZ A52264 615 33 also also RB A52264 615 34 given give VBN A52264 615 35 . . . A52264 616 1 Example example NN A52264 616 2 . . . A52264 617 1 Let let VB A52264 617 2 there there EX A52264 617 3 be be VB A52264 617 4 given give VBN A52264 617 5 the the DT A52264 617 6 Tang Tang NNP A52264 617 7 . . . A52264 618 1 of of IN A52264 618 2 72 72 CD A52264 618 3 de de NN A52264 618 4 . . . A52264 619 1 94 94 CD A52264 619 2 m. m. NN A52264 619 3 And and CC A52264 619 4 the the DT A52264 619 5 Tang Tang NNP A52264 619 6 . . . A52264 620 1 of of IN A52264 620 2 its -PRON- PRP$ A52264 620 3 complement complement NN A52264 620 4 , , , A52264 620 5 that that RB A52264 620 6 is is RB A52264 620 7 , , , A52264 620 8 of of IN A52264 620 9 17 17 CD A52264 620 10 6 6 CD A52264 620 11 Halfe halfe NN A52264 620 12 the the DT A52264 620 13 difference difference NN A52264 620 14 of of IN A52264 620 15 these these DT A52264 620 16 two two CD A52264 620 17 arches arch NNS A52264 620 18 is be VBZ A52264 620 19 27 27 CD A52264 620 20 94 94 CD A52264 620 21 Tangent tangent NN A52264 620 22 of of IN A52264 620 23 72 72 CD A52264 620 24 de de NN A52264 620 25 . . . A52264 621 1 94 94 CD A52264 621 2 m. m. NN A52264 621 3 is be VBZ A52264 621 4 32586438 32586438 CD A52264 621 5 Tangent Tangent NNP A52264 621 6 of of IN A52264 621 7 17 17 CD A52264 621 8 6 6 CD A52264 621 9 306 306 CD A52264 621 10 ● ● CD A52264 621 11 761 761 CD A52264 621 12 Their -PRON- PRP$ A52264 621 13 difference difference NN A52264 621 14 is be VBZ A52264 621 15 29517677 29517677 CD A52264 621 16 The the DT A52264 621 17 halfe halfe NN A52264 621 18 whereof whereof NNP A52264 621 19 is be VBZ A52264 621 20 14758838 14758838 CD A52264 621 21 The the DT A52264 621 22 Tangent Tangent NNP A52264 621 23 of of IN A52264 621 24 55 55 CD A52264 621 25 de de NN A52264 621 26 . . . A52264 622 1 88 88 CD A52264 622 2 min min NN A52264 622 3 . . . A52264 623 1 Or or CC A52264 623 2 let let VB A52264 623 3 the the DT A52264 623 4 tangent tangent NN A52264 623 5 of of IN A52264 623 6 the the DT A52264 623 7 greater great JJR A52264 623 8 arch arch NNP A52264 623 9 72 72 CD A52264 623 10 d. d. NNP A52264 623 11 94 94 CD A52264 623 12 m. m. NN A52264 623 13 be be VB A52264 623 14 given give VBN A52264 623 15 , , , A52264 623 16 with with IN A52264 623 17 the the DT A52264 623 18 Tangent tangent NN A52264 623 19 of of IN A52264 623 20 the the DT A52264 623 21 difference difference NN A52264 623 22 55 55 CD A52264 623 23 de de NN A52264 623 24 . . . A52264 624 1 88 88 CD A52264 624 2 m. m. NN A52264 624 3 and and CC A52264 624 4 let let VB A52264 624 5 the the DT A52264 624 6 lesser less JJR A52264 624 7 arch arch VB A52264 624 8 17 17 CD A52264 624 9 de de NN A52264 624 10 . . . A52264 625 1 6 6 CD A52264 625 2 m. m. NN A52264 625 3 be be VB A52264 625 4 demanded demand VBN A52264 625 5 . . . A52264 626 1 Tangent tangent NN A52264 626 2 of of IN A52264 626 3 72 72 CD A52264 626 4 de de NN A52264 626 5 . . . A52264 627 1 94 94 CD A52264 627 2 m. m. NN A52264 627 3 is be VBZ A52264 627 4 32586438 32586438 CD A52264 627 5 Tang Tang NNP A52264 627 6 . . . A52264 628 1 of of IN A52264 628 2 55 55 CD A52264 628 3 de de NN A52264 628 4 . . . A52264 629 1 88 88 CD A52264 629 2 m. m. NN A52264 629 3 doubled double VBD A52264 629 4 is be VBZ A52264 629 5 29517676 29517676 CD A52264 629 6         _SP A52264 629 7 Their -PRON- PRP$ A52264 629 8 difference difference NN A52264 629 9 is be VBZ A52264 629 10 03068762 03068762 CD A52264 629 11 The the DT A52264 629 12 Tangent Tangent NNP A52264 629 13 of of IN A52264 629 14 17 17 CD A52264 629 15 de de NN A52264 629 16 . . . A52264 630 1 6 6 CD A52264 630 2 m. m. NN A52264 630 3 Or or CC A52264 630 4 lastly lastly RB A52264 630 5 , , , A52264 630 6 let let VB A52264 630 7 the the DT A52264 630 8 lesser less JJR A52264 630 9 arch arch NN A52264 630 10 be be VB A52264 630 11 given give VBN A52264 630 12 , , , A52264 630 13 with with IN A52264 630 14 the the DT A52264 630 15 Tangent tangent NN A52264 630 16 of of IN A52264 630 17 the the DT A52264 630 18 difference difference NN A52264 630 19 , , , A52264 630 20 and and CC A52264 630 21 let let VB A52264 630 22 the the DT A52264 630 23 greater great JJR A52264 630 24 arch arch NN A52264 630 25 be be VB A52264 630 26 demanded demand VBN A52264 630 27 . . . A52264 631 1 Tang Tang NNP A52264 631 2 . . . A52264 632 1 of of IN A52264 632 2 55 55 CD A52264 632 3 de de NN A52264 632 4 . . . A52264 633 1 88 88 CD A52264 633 2 m. m. NN A52264 633 3 the the DT A52264 633 4 diff diff NN A52264 633 5 . . . A52264 634 1 is be VBZ A52264 634 2 14758838 14758838 CD A52264 634 3         _SP A52264 634 4 Which which WDT A52264 634 5 doubled double VBD A52264 634 6 is be VBZ A52264 634 7 29517676 29517676 CD A52264 634 8 To to TO A52264 634 9 which which WDT A52264 634 10 the the DT A52264 634 11 tang tang NNP A52264 634 12 . . . A52264 635 1 of of IN A52264 635 2 17 17 CD A52264 635 3 d. d. NNP A52264 635 4 6 6 CD A52264 635 5 m. m. NN A52264 635 6 ad ad NN A52264 635 7 . . . A52264 636 1 3068761 3068761 CD A52264 636 2 Their -PRON- PRP$ A52264 636 3 aggregate aggregate NN A52264 636 4 is be VBZ A52264 636 5 32586437 32586437 CD A52264 636 6 the the DT A52264 636 7 tangent tangent NN A52264 636 8 of of IN A52264 636 9 72 72 CD A52264 636 10 degrees degree NNS A52264 636 11 , , , A52264 636 12 94 94 CD A52264 636 13 minutes minute NNS A52264 636 14 . . . A52264 637 1 Theor Theor NNP A52264 637 2 . . . A52264 638 1 2 2 LS A52264 638 2 . . . A52264 639 1 The the DT A52264 639 2 tangent tangent NN A52264 639 3 of of IN A52264 639 4 the the DT A52264 639 5 difference difference NN A52264 639 6 of of IN A52264 639 7 two two CD A52264 639 8 arches arch NNS A52264 639 9 making make VBG A52264 639 10 a a DT A52264 639 11 Quadrant Quadrant NNP A52264 639 12 , , , A52264 639 13 with with IN A52264 639 14 the the DT A52264 639 15 tangent tangent NN A52264 639 16 of of IN A52264 639 17 the the DT A52264 639 18 lesser less JJR A52264 639 19 arch arch NNP A52264 639 20 maketh maketh NNP A52264 639 21 the the DT A52264 639 22 secant secant NN A52264 639 23 of of IN A52264 639 24 the the DT A52264 639 25 difference difference NN A52264 639 26 . . . A52264 640 1 The the DT A52264 640 2 Reason reason NN A52264 640 3 is be VBZ A52264 640 4 Because because IN A52264 640 5 the the DT A52264 640 6 tangent tangent NN A52264 640 7 of of IN A52264 640 8 the the DT A52264 640 9 difference difference NN A52264 640 10 BL BL NNP A52264 640 11 or or CC A52264 640 12 BO BO NNP A52264 640 13 , , , A52264 640 14 that that RB A52264 640 15 is is RB A52264 640 16 , , , A52264 640 17 the the DT A52264 640 18 right right JJ A52264 640 19 line line NN A52264 640 20 BK BK NNP A52264 640 21 or or CC A52264 640 22 BM BM NNP A52264 640 23 with with IN A52264 640 24 the the DT A52264 640 25 tangent tangent NN A52264 640 26 of of IN A52264 640 27 the the DT A52264 640 28 lesser less JJR A52264 640 29 arch arch JJ A52264 640 30 BS BS NNP A52264 640 31 , , , A52264 640 32 that that RB A52264 640 33 is is RB A52264 640 34 , , , A52264 640 35 with with IN A52264 640 36 the the DT A52264 640 37 right right JJ A52264 640 38 line line NN A52264 640 39 BT BT NNP A52264 640 40 , , , A52264 640 41 maketh maketh VB A52264 640 42 the the DT A52264 640 43 right right JJ A52264 640 44 line line NN A52264 640 45 MT MT NNP A52264 640 46 , , , A52264 640 47 which which WDT A52264 640 48 is be VBZ A52264 640 49 equall equall JJ A52264 640 50 to to IN A52264 640 51 the the DT A52264 640 52 Secant Secant NNP A52264 640 53 AK AK NNP A52264 640 54 , , , A52264 640 55 by by IN A52264 640 56 the the DT A52264 640 57 demonstration demonstration NN A52264 640 58 of of IN A52264 640 59 the the DT A52264 640 60 first first JJ A52264 640 61 Theorem Theorem NNP A52264 640 62 . . . A52264 641 1 Therefore therefore RB A52264 641 2 , , , A52264 641 3 the the DT A52264 641 4 tangent tangent NN A52264 641 5 of of IN A52264 641 6 the the DT A52264 641 7 difference difference NN A52264 641 8 of of IN A52264 641 9 two two CD A52264 641 10 arches arch NNS A52264 641 11 making make VBG A52264 641 12 a a DT A52264 641 13 Quadrant Quadrant NNP A52264 641 14 , , , A52264 641 15 and and CC A52264 641 16 the the DT A52264 641 17 tangent tangent NN A52264 641 18 of of IN A52264 641 19 the the DT A52264 641 20 lesser less JJR A52264 641 21 arch arch NN A52264 641 22 being be VBG A52264 641 23 given give VBN A52264 641 24 , , , A52264 641 25 the the DT A52264 641 26 secant secant NN A52264 641 27 of of IN A52264 641 28 the the DT A52264 641 29 difference difference NN A52264 641 30 is be VBZ A52264 641 31 also also RB A52264 641 32 given give VBN A52264 641 33 . . . A52264 642 1 And and CC A52264 642 2 contrarily contrarily RB A52264 642 3 . . . A52264 643 1 For for IN A52264 643 2 example example NN A52264 643 3 . . . A52264 644 1 Let let VB A52264 644 2 the the DT A52264 644 3 tangent tangent NN A52264 644 4 of of IN A52264 644 5 the the DT A52264 644 6 former former JJ A52264 644 7 difference difference NN A52264 644 8 55 55 CD A52264 644 9 degrees degree NNS A52264 644 10 , , , A52264 644 11 88 88 CD A52264 644 12 minutes minute NNS A52264 644 13 , , , A52264 644 14 and and CC A52264 644 15 the the DT A52264 644 16 tangent tangent NN A52264 644 17 of of IN A52264 644 18 the the DT A52264 644 19 lesser less JJR A52264 644 20 arch arch JJ A52264 644 21 17 17 CD A52264 644 22 degrees degree NNS A52264 644 23 , , , A52264 644 24 ● ● NFP A52264 644 25 ● ● NFP A52264 644 26 minutes minute NNS A52264 644 27 , , , A52264 644 28 be be VB A52264 644 29 given give VBN A52264 644 30 ; ; : A52264 644 31 I -PRON- PRP A52264 644 32 say say VBP A52264 644 33 , , , A52264 644 34 the the DT A52264 644 35 secant secant NN A52264 644 36 of of IN A52264 644 37 this this DT A52264 644 38 difference difference NN A52264 644 39 is be VBZ A52264 644 40 also also RB A52264 644 41 given give VBN A52264 644 42 . . . A52264 645 1 Tang Tang NNP A52264 645 2 . . . A52264 646 1 of of IN A52264 646 2 the the DT A52264 646 3 diff diff NN A52264 646 4 . . . A52264 647 1 55 55 CD A52264 647 2 de de NN A52264 647 3 . . . A52264 648 1 88 88 CD A52264 648 2 m. m. NN A52264 648 3 is be VBZ A52264 648 4 14758838 14758838 CD A52264 648 5 The the DT A52264 648 6 tangent tangent NN A52264 648 7 of of IN A52264 648 8 17 17 CD A52264 648 9 06 06 CD A52264 648 10 is be VBZ A52264 648 11 3068762 3068762 CD A52264 648 12         _SP A52264 648 13 Their -PRON- PRP$ A52264 648 14 sum sum NN A52264 648 15 is be VBZ A52264 648 16 the the DT A52264 648 17 secant secant NN A52264 648 18 of of IN A52264 648 19 55 55 CD A52264 648 20 88 88 CD A52264 648 21 , , , A52264 648 22 17827600 17827600 CD A52264 648 23 Theor Theor NNP A52264 648 24 . . . A52264 649 1 3 3 LS A52264 649 2 . . . A52264 650 1 The the DT A52264 650 2 tangent tangent NN A52264 650 3 of of IN A52264 650 4 the the DT A52264 650 5 difference difference NN A52264 650 6 of of IN A52264 650 7 two two CD A52264 650 8 arches arch NNS A52264 650 9 making make VBG A52264 650 10 a a DT A52264 650 11 Quadrant Quadrant NNP A52264 650 12 , , , A52264 650 13 with with IN A52264 650 14 the the DT A52264 650 15 secant secant NN A52264 650 16 of of IN A52264 650 17 their -PRON- PRP$ A52264 650 18 difference difference NN A52264 650 19 , , , A52264 650 20 is be VBZ A52264 650 21 equal equal JJ A52264 650 22 to to IN A52264 650 23 the the DT A52264 650 24 tangent tangent NN A52264 650 25 of of IN A52264 650 26 the the DT A52264 650 27 greater great JJR A52264 650 28 arch arch NN A52264 650 29 . . . A52264 651 1 Because because IN A52264 651 2 the the DT A52264 651 3 tangent tangent NN A52264 651 4 of of IN A52264 651 5 the the DT A52264 651 6 arch arch JJ A52264 651 7 BL BL NNP A52264 651 8 , , , A52264 651 9 being be VBG A52264 651 10 the the DT A52264 651 11 difference difference NN A52264 651 12 of of IN A52264 651 13 the the DT A52264 651 14 two two CD A52264 651 15 arches arch NNS A52264 651 16 BC BC NNP A52264 651 17 and and CC A52264 651 18 DC DC NNP A52264 651 19 , , , A52264 651 20 making make VBG A52264 651 21 a a DT A52264 651 22 Quadrant Quadrant NNP A52264 651 23 with with IN A52264 651 24 the the DT A52264 651 25 secant secant NN A52264 651 26 of of IN A52264 651 27 the the DT A52264 651 28 same same JJ A52264 651 29 arch arch JJ A52264 651 30 BL BL NNP A52264 651 31 , , , A52264 651 32 that that RB A52264 651 33 is is RB A52264 651 34 , , , A52264 651 35 the the DT A52264 651 36 right right JJ A52264 651 37 line line NN A52264 651 38 BK BK NNP A52264 651 39 with with IN A52264 651 40 the the DT A52264 651 41 right right JJ A52264 651 42 line line NN A52264 651 43 AK AK NNP A52264 651 44 , , , A52264 651 45 is be VBZ A52264 651 46 equal equal JJ A52264 651 47 to to IN A52264 651 48 the the DT A52264 651 49 right right JJ A52264 651 50 line line NN A52264 651 51 BP BP NNP A52264 651 52 , , , A52264 651 53 by by IN A52264 651 54 the the DT A52264 651 55 demonstration demonstration NN A52264 651 56 of of IN A52264 651 57 the the DT A52264 651 58 first first JJ A52264 651 59 Theorem theorem NN A52264 651 60 : : : A52264 651 61 therefore therefore RB A52264 651 62 the the DT A52264 651 63 tangent tangent NN A52264 651 64 of of IN A52264 651 65 the the DT A52264 651 66 difference difference NN A52264 651 67 of of IN A52264 651 68 two two CD A52264 651 69 arches arch NNS A52264 651 70 making make VBG A52264 651 71 a a DT A52264 651 72 Quadrant Quadrant NNP A52264 651 73 being be VBG A52264 651 74 given give VBN A52264 651 75 , , , A52264 651 76 with with IN A52264 651 77 the the DT A52264 651 78 secant secant NN A52264 651 79 of of IN A52264 651 80 their -PRON- PRP$ A52264 651 81 difference difference NN A52264 651 82 , , , A52264 651 83 the the DT A52264 651 84 tangent tangent NN A52264 651 85 of of IN A52264 651 86 the the DT A52264 651 87 greater great JJR A52264 651 88 arch arch NN A52264 651 89 is be VBZ A52264 651 90 also also RB A52264 651 91 given give VBN A52264 651 92 . . . A52264 652 1 For for IN A52264 652 2 example example NN A52264 652 3 . . . A52264 653 1 Let let VB A52264 653 2 the the DT A52264 653 3 tangent tangent NN A52264 653 4 of of IN A52264 653 5 the the DT A52264 653 6 difference difference NN A52264 653 7 be be VB A52264 653 8 the the DT A52264 653 9 tang tang NNP A52264 653 10 . . . A52264 654 1 of of IN A52264 654 2 the the DT A52264 654 3 arch arch NN A52264 654 4 of of IN A52264 654 5 55 55 CD A52264 654 6 de de NN A52264 654 7 . . . A52264 655 1 88 88 CD A52264 655 2 m. m. NN A52264 655 3 viz viz NN A52264 655 4 . . . A52264 656 1 14758838 14758838 CD A52264 656 2 The the DT A52264 656 3 secant secant NN A52264 656 4 of of IN A52264 656 5 this this DT A52264 656 6 difference difference NN A52264 656 7 is be VBZ A52264 656 8 17827600 17827600 CD A52264 656 9 Their -PRON- PRP$ A52264 656 10 sum sum NN A52264 656 11 is be VBZ A52264 656 12 the the DT A52264 656 13 tang tang NNP A52264 656 14 . . . A52264 657 1 of of IN A52264 657 2 72 72 CD A52264 657 3 94 94 CD A52264 657 4 , , , A52264 657 5 32586438 32586438 CD A52264 657 6 the the DT A52264 657 7 greater great JJR A52264 657 8 of of IN A52264 657 9 the the DT A52264 657 10 two two CD A52264 657 11 former former JJ A52264 657 12 given give VBN A52264 657 13 arches arch NNS A52264 657 14 . . . A52264 658 1 And and CC A52264 658 2 now now RB A52264 658 3 by by IN A52264 658 4 the the DT A52264 658 5 like like JJ A52264 658 6 reason reason NN A52264 658 7 these these DT A52264 658 8 Rules rule NNS A52264 658 9 may may MD A52264 658 10 be be VB A52264 658 11 added add VBN A52264 658 12 by by IN A52264 658 13 way way NN A52264 658 14 of of IN A52264 658 15 Appendix Appendix NNP A52264 658 16 . . . A52264 659 1 Rule rule VB A52264 659 2 I. i. NN A52264 660 1 The the DT A52264 660 2 double double JJ A52264 660 3 tangent tangent NN A52264 660 4 of of IN A52264 660 5 an an DT A52264 660 6 arch arch NN A52264 660 7 , , , A52264 660 8 with with IN A52264 660 9 the the DT A52264 660 10 tangent tangent NN A52264 660 11 of of IN A52264 660 12 half half PDT A52264 660 13 the the DT A52264 660 14 complement complement NN A52264 660 15 , , , A52264 660 16 is be VBZ A52264 660 17 equall equall JJ A52264 660 18 to to IN A52264 660 19 the the DT A52264 660 20 tangent tangent NN A52264 660 21 of of IN A52264 660 22 the the DT A52264 660 23 arch arch NN A52264 660 24 , , , A52264 660 25 composed compose VBN A52264 660 26 of of IN A52264 660 27 the the DT A52264 660 28 arch arch NN A52264 660 29 given give VBN A52264 660 30 and and CC A52264 660 31 half half PDT A52264 660 32 the the DT A52264 660 33 complement complement NN A52264 660 34 thereof thereof RB A52264 660 35 . . . A52264 661 1 For for IN A52264 661 2 if if IN A52264 661 3 the the DT A52264 661 4 arch arch JJ A52264 661 5 BL BL NNP A52264 661 6 be be VB A52264 661 7 put put VBN A52264 661 8 for for IN A52264 661 9 the the DT A52264 661 10 arch arch NN A52264 661 11 given give VBN A52264 661 12 , , , A52264 661 13 the the DT A52264 661 14 double double JJ A52264 661 15 tangent tangent NN A52264 661 16 thereof thereof RB A52264 661 17 shall shall MD A52264 661 18 be be VB A52264 661 19 TP tp NN A52264 661 20 , , , A52264 661 21 by by IN A52264 661 22 the the DT A52264 661 23 demonstration demonstration NN A52264 661 24 of of IN A52264 661 25 the the DT A52264 661 26 first first JJ A52264 661 27 Theorem Theorem NNP A52264 661 28 . . . A52264 662 1 And and CC A52264 662 2 the the DT A52264 662 3 complement complement NN A52264 662 4 of of IN A52264 662 5 the the DT A52264 662 6 arch arch JJ A52264 662 7 BL BL NNP A52264 662 8 , , , A52264 662 9 shall shall MD A52264 662 10 be be VB A52264 662 11 the the DT A52264 662 12 arch arch JJ A52264 662 13 LC LC NNP A52264 662 14 , , , A52264 662 15 whose whose WP$ A52264 662 16 half half NN A52264 662 17 is be VBZ A52264 662 18 the the DT A52264 662 19 arch arch JJ A52264 662 20 LD LD NNP A52264 662 21 or or CC A52264 662 22 DC DC NNP A52264 662 23 , , , A52264 662 24 whose whose WP$ A52264 662 25 tangent tangent NN A52264 662 26 is be VBZ A52264 662 27 the the DT A52264 662 28 right right JJ A52264 662 29 line line NN A52264 662 30 GC GC NNP A52264 662 31 or or CC A52264 662 32 BT BT NNP A52264 662 33 , , , A52264 662 34 but but CC A52264 662 35 TP TP NNP A52264 662 36 added add VBD A52264 662 37 to to IN A52264 662 38 BT BT NNP A52264 662 39 maketh maketh NN A52264 662 40 BP BP NNP A52264 662 41 , , , A52264 662 42 being be VBG A52264 662 43 the the DT A52264 662 44 tangent tangent NN A52264 662 45 of of IN A52264 662 46 the the DT A52264 662 47 arch arch JJ A52264 662 48 BD BD NNP A52264 662 49 , , , A52264 662 50 composed compose VBN A52264 662 51 of of IN A52264 662 52 the the DT A52264 662 53 given give VBN A52264 662 54 arch arch JJ A52264 662 55 BL BL NNP A52264 662 56 , , , A52264 662 57 and and CC A52264 662 58 half half PDT A52264 662 59 the the DT A52264 662 60 complement complement JJ A52264 662 61 LD LD NNP A52264 662 62 , , , A52264 662 63 therefore therefore RB A52264 662 64 the the DT A52264 662 65 double double JJ A52264 662 66 tangent tangent NN A52264 662 67 , , , A52264 662 68 & & CC A52264 662 69 c. c. NNP A52264 662 70 Rule Rule NNP A52264 662 71 II II NNP A52264 662 72 . . . A52264 663 1 The the DT A52264 663 2 tangent tangent NN A52264 663 3 of of IN A52264 663 4 an an DT A52264 663 5 arch arch NN A52264 663 6 with with IN A52264 663 7 the the DT A52264 663 8 tangent tangent NN A52264 663 9 of of IN A52264 663 10 half half PDT A52264 663 11 the the DT A52264 663 12 complement complement NN A52264 663 13 is be VBZ A52264 663 14 equal equal JJ A52264 663 15 to to IN A52264 663 16 the the DT A52264 663 17 secant secant NN A52264 663 18 of of IN A52264 663 19 that that DT A52264 663 20 arch arch NN A52264 663 21 . . . A52264 664 1 For for IN A52264 664 2 if if IN A52264 664 3 you -PRON- PRP A52264 664 4 have have VBP A52264 664 5 the the DT A52264 664 6 arch arch JJ A52264 664 7 BL BL NNP A52264 664 8 or or CC A52264 664 9 BO BO NNP A52264 664 10 for for IN A52264 664 11 the the DT A52264 664 12 arch arch NN A52264 664 13 given give VBN A52264 664 14 , , , A52264 664 15 the the DT A52264 664 16 tangent tangent NN A52264 664 17 of of IN A52264 664 18 the the DT A52264 664 19 arch arch NN A52264 664 20 given give VBN A52264 664 21 shall shall MD A52264 664 22 be be VB A52264 664 23 BM BM NNP A52264 664 24 , , , A52264 664 25 the the DT A52264 664 26 tangent tangent NN A52264 664 27 of of IN A52264 664 28 half half PDT A52264 664 29 the the DT A52264 664 30 complement complement NN A52264 664 31 shall shall MD A52264 664 32 be be VB A52264 664 33 BT BT NNP A52264 664 34 , , , A52264 664 35 which which WDT A52264 664 36 two two CD A52264 664 37 tangents tangent NNS A52264 664 38 added add VBD A52264 664 39 together together RB A52264 664 40 , , , A52264 664 41 make make VB A52264 664 42 the the DT A52264 664 43 right right JJ A52264 664 44 line line NN A52264 664 45 MT MT NNP A52264 664 46 , , , A52264 664 47 but but CC A52264 664 48 the the DT A52264 664 49 right right JJ A52264 664 50 line line NN A52264 664 51 MT MT NNP A52264 664 52 is be VBZ A52264 664 53 equal equal JJ A52264 664 54 to to IN A52264 664 55 the the DT A52264 664 56 right right JJ A52264 664 57 line line NN A52264 664 58 AK AK NNP A52264 664 59 , , , A52264 664 60 by by IN A52264 664 61 the the DT A52264 664 62 demonstration demonstration NN A52264 664 63 of of IN A52264 664 64 the the DT A52264 664 65 first first JJ A52264 664 66 Theorem theorem NN A52264 664 67 ; ; : A52264 664 68 which which WDT A52264 664 69 right right JJ A52264 664 70 line line NN A52264 664 71 AK AK NNP A52264 664 72 is be VBZ A52264 664 73 the the DT A52264 664 74 secant secant NN A52264 664 75 of of IN A52264 664 76 the the DT A52264 664 77 arch arch NN A52264 664 78 given give VBN A52264 664 79 BL BL NNP A52264 664 80 , , , A52264 664 81 by by IN A52264 664 82 the the DT A52264 664 83 proposition proposition NN A52264 664 84 : : : A52264 664 85 Therefore therefore RB A52264 664 86 the the DT A52264 664 87 tangent tangent NN A52264 664 88 of of IN A52264 664 89 an an DT A52264 664 90 arch arch NN A52264 664 91 , , , A52264 664 92 & & CC A52264 664 93 c. c. NNP A52264 664 94 Rule Rule NNP A52264 664 95 III III NNP A52264 664 96 . . . A52264 665 1 The the DT A52264 665 2 tangent tangent NN A52264 665 3 of of IN A52264 665 4 an an DT A52264 665 5 arch arch NN A52264 665 6 with with IN A52264 665 7 the the DT A52264 665 8 secant secant NN A52264 665 9 thereof thereof RB A52264 665 10 is be VBZ A52264 665 11 equal equal JJ A52264 665 12 to to IN A52264 665 13 the the DT A52264 665 14 tangent tangent NN A52264 665 15 of of IN A52264 665 16 an an DT A52264 665 17 arch arch NN A52264 665 18 composed compose VBN A52264 665 19 of of IN A52264 665 20 the the DT A52264 665 21 arch arch NN A52264 665 22 given give VBN A52264 665 23 , , , A52264 665 24 and and CC A52264 665 25 half half PDT A52264 665 26 the the DT A52264 665 27 complement complement NN A52264 665 28 . . . A52264 666 1 For for IN A52264 666 2 if if IN A52264 666 3 you -PRON- PRP A52264 666 4 have have VBP A52264 666 5 the the DT A52264 666 6 arch arch JJ A52264 666 7 BL BL NNP A52264 666 8 for for IN A52264 666 9 the the DT A52264 666 10 arch arch NN A52264 666 11 given give VBN A52264 666 12 , , , A52264 666 13 BK BK NNP A52264 666 14 shall shall MD A52264 666 15 be be VB A52264 666 16 the the DT A52264 666 17 tangent tangent NN A52264 666 18 , , , A52264 666 19 and and CC A52264 666 20 AK AK NNP A52264 666 21 the the DT A52264 666 22 secant secant NN A52264 666 23 of of IN A52264 666 24 that that DT A52264 666 25 arch arch NN A52264 666 26 . . . A52264 667 1 But but CC A52264 667 2 the the DT A52264 667 3 right right JJ A52264 667 4 line line NN A52264 667 5 AK AK NNP A52264 667 6 and and CC A52264 667 7 KP KP NNP A52264 667 8 are be VBP A52264 667 9 equal equal JJ A52264 667 10 , , , A52264 667 11 by by IN A52264 667 12 the the DT A52264 667 13 demonstration demonstration NN A52264 667 14 of of IN A52264 667 15 the the DT A52264 667 16 first first JJ A52264 667 17 Theorem theorem NN A52264 667 18 : : : A52264 667 19 therefore therefore RB A52264 667 20 the the DT A52264 667 21 tangent tangent NN A52264 667 22 of of IN A52264 667 23 the the DT A52264 667 24 arch arch NN A52264 667 25 given give VBN A52264 667 26 BL BL NNP A52264 667 27 , , , A52264 667 28 that that RB A52264 667 29 is is RB A52264 667 30 , , , A52264 667 31 the the DT A52264 667 32 right right JJ A52264 667 33 line line NN A52264 667 34 BK BK NNP A52264 667 35 , , , A52264 667 36 with with IN A52264 667 37 the the DT A52264 667 38 secant secant NN A52264 667 39 of of IN A52264 667 40 the the DT A52264 667 41 same same JJ A52264 667 42 arch arch NN A52264 667 43 , , , A52264 667 44 that that RB A52264 667 45 is is RB A52264 667 46 , , , A52264 667 47 AK AK NNP A52264 667 48 is be VBZ A52264 667 49 equall equall JJ A52264 667 50 to to IN A52264 667 51 the the DT A52264 667 52 right right JJ A52264 667 53 line line NN A52264 667 54 BP BP NNP A52264 667 55 , , , A52264 667 56 which which WDT A52264 667 57 is be VBZ A52264 667 58 the the DT A52264 667 59 tangent tangent NN A52264 667 60 of of IN A52264 667 61 the the DT A52264 667 62 arch arch JJ A52264 667 63 BD BD NNP A52264 667 64 , , , A52264 667 65 being be VBG A52264 667 66 composed compose VBN A52264 667 67 of of IN A52264 667 68 the the DT A52264 667 69 given give VBN A52264 667 70 arch arch NN A52264 667 71 , , , A52264 667 72 BL BL NNP A52264 667 73 and and CC A52264 667 74 LD LD NNP A52264 667 75 being be VBG A52264 667 76 half half PDT A52264 667 77 the the DT A52264 667 78 complement complement NN A52264 667 79 . . . A52264 668 1 These these DT A52264 668 2 rules rule NNS A52264 668 3 are be VBP A52264 668 4 sufficient sufficient JJ A52264 668 5 for for IN A52264 668 6 the the DT A52264 668 7 making making NN A52264 668 8 of of IN A52264 668 9 the the DT A52264 668 10 Tables Tables NNPS A52264 668 11 of of IN A52264 668 12 natural natural JJ A52264 668 13 Sines Sines NNPS A52264 668 14 , , , A52264 668 15 Tangents Tangents NNP A52264 668 16 , , , A52264 668 17 & & CC A52264 668 18 Secants Secants NNP A52264 668 19 . . . A52264 669 1 The the DT A52264 669 2 use use NN A52264 669 3 whereof whereof NN A52264 669 4 in in IN A52264 669 5 the the DT A52264 669 6 resolution resolution NN A52264 669 7 of of IN A52264 669 8 plain plain JJ A52264 669 9 & & CC A52264 669 10 spherical spherical JJ A52264 669 11 triangles triangle NNS A52264 669 12 should should MD A52264 669 13 now now RB A52264 669 14 folow folow VB A52264 669 15 ; ; : A52264 669 16 but but CC A52264 669 17 because because IN A52264 669 18 the the DT A52264 669 19 Right Right NNP A52264 669 20 Honourable honourable JJ A52264 669 21 John John NNP A52264 669 22 Lord Lord NNP A52264 669 23 Nepoir Nepoir NNP A52264 669 24 , , , A52264 669 25 Baron Baron NNP A52264 669 26 of of IN A52264 669 27 Marchiston Marchiston NNP A52264 669 28 , , , A52264 669 29 hath hath NNP A52264 669 30 taught teach VBD A52264 669 31 us -PRON- PRP A52264 669 32 how how WRB A52264 669 33 by by IN A52264 669 34 borrowed borrow VBN A52264 669 35 numbers number NNS A52264 669 36 , , , A52264 669 37 called call VBN A52264 669 38 Logarithmes logarithme NNS A52264 669 39 : : : A52264 669 40 to to TO A52264 669 41 perform perform VB A52264 669 42 the the DT A52264 669 43 same same JJ A52264 669 44 after after IN A52264 669 45 a a DT A52264 669 46 more more JJR A52264 669 47 easie easie NN A52264 669 48 and and CC A52264 669 49 compendious compendious JJ A52264 669 50 way way NN A52264 669 51 : : : A52264 669 52 we -PRON- PRP A52264 669 53 will will MD A52264 669 54 first first RB A52264 669 55 speak speak VB A52264 669 56 something something NN A52264 669 57 of of IN A52264 669 58 the the DT A52264 669 59 nature nature NN A52264 669 60 and and CC A52264 669 61 construction construction NN A52264 669 62 of of IN A52264 669 63 those those DT A52264 669 64 numbers number NNS A52264 669 65 , , , A52264 669 66 called call VBN A52264 669 67 Logarithmes logarithme NNS A52264 669 68 ; ; : A52264 669 69 by by IN A52264 669 70 which which WDT A52264 669 71 is be VBZ A52264 669 72 made make VBN A52264 669 73 the the DT A52264 669 74 Table table NN A52264 669 75 of of IN A52264 669 76 the the DT A52264 669 77 artificial artificial JJ A52264 669 78 Sines Sines NNPS A52264 669 79 and and CC A52264 669 80 Tangents Tangents NNP A52264 669 81 , , , A52264 669 82 and and CC A52264 669 83 then then RB A52264 669 84 shew shew VB A52264 669 85 the the DT A52264 669 86 use use NN A52264 669 87 of of IN A52264 669 88 both both DT A52264 669 89 . . . A52264 670 1 CHAP CHAP NNP A52264 670 2 . . . A52264 671 1 V. V. NNP A52264 671 2 Of of IN A52264 671 3 the the DT A52264 671 4 nature nature NN A52264 671 5 and and CC A52264 671 6 construction construction NN A52264 671 7 of of IN A52264 671 8 Logarithmes logarithme NNS A52264 671 9 . . . A52264 672 1 LOgarithmes logarithme NNS A52264 672 2 are be VBP A52264 672 3 borrowed borrow VBN A52264 672 4 numbers number NNS A52264 672 5 , , , A52264 672 6 which which WDT A52264 672 7 differ differ VBP A52264 672 8 amongst amongst IN A52264 672 9 themselves -PRON- PRP A52264 672 10 by by IN A52264 672 11 Arithmetical arithmetical JJ A52264 672 12 proportion proportion NN A52264 672 13 , , , A52264 672 14 as as IN A52264 672 15 the the DT A52264 672 16 numbers number NNS A52264 672 17 that that WDT A52264 672 18 borrow borrow VBP A52264 672 19 them -PRON- PRP A52264 672 20 differ differ VB A52264 672 21 by by IN A52264 672 22 Geometrical geometrical JJ A52264 672 23 proportion proportion NN A52264 672 24 : : : A52264 672 25 So so RB A52264 672 26 in in IN A52264 672 27 the the DT A52264 672 28 first first JJ A52264 672 29 column column NN A52264 672 30 of of IN A52264 672 31 the the DT A52264 672 32 ensuing ensue VBG A52264 672 33 Table table NN A52264 672 34 the the DT A52264 672 35 numbers number NNS A52264 672 36 Geometrically geometrically RB A52264 672 37 proportional proportional JJ A52264 672 38 being be VBG A52264 672 39 1 1 CD A52264 672 40 , , , A52264 672 41 2 2 CD A52264 672 42 , , , A52264 672 43 4 4 CD A52264 672 44 , , , A52264 672 45 8 8 CD A52264 672 46 , , , A52264 672 47 16 16 CD A52264 672 48 , , , A52264 672 49 32 32 CD A52264 672 50 , , , A52264 672 51 64 64 CD A52264 672 52 , , , A52264 672 53 128 128 CD A52264 672 54 , , , A52264 672 55 256 256 CD A52264 672 56 , , , A52264 672 57 512 512 CD A52264 672 58 , , , A52264 672 59 1024 1024 CD A52264 672 60 , , , A52264 672 61 & & CC A52264 672 62 c. c. NNP A52264 672 63 you -PRON- PRP A52264 672 64 may may MD A52264 672 65 assigne assigne VB A52264 672 66 unto unto IN A52264 672 67 them -PRON- PRP A52264 672 68 for for IN A52264 672 69 bo bo NNP A52264 672 70 ● ● CD A52264 672 71 rowed row VBD A52264 672 72 numbers number NNS A52264 672 73 or or CC A52264 672 74 Logarithmes logarithme NNS A52264 672 75 , , , A52264 672 76 the the DT A52264 672 77 numbers number NNS A52264 672 78 subscribed subscribe VBN A52264 672 79 under under IN A52264 672 80 the the DT A52264 672 81 letters letter NNS A52264 672 82 A a NN A52264 672 83 , , , A52264 672 84 B b NN A52264 672 85 , , , A52264 672 86 C C NNP A52264 672 87 , , , A52264 672 88 D d NN A52264 672 89 , , , A52264 672 90 or or CC A52264 672 91 any any DT A52264 672 92 other other JJ A52264 672 93 at at IN A52264 672 94 pleasure pleasure NN A52264 672 95 ; ; , A52264 672 96 provided provide VBN A52264 672 97 , , , A52264 672 98 that that IN A52264 672 99 the the DT A52264 672 100 Logarithmes logarithme NNS A52264 672 101 so so RB A52264 672 102 assigned assign VBN A52264 672 103 still still RB A52264 672 104 differ differ VBP A52264 672 105 amongst amongst IN A52264 672 106 themselves -PRON- PRP A52264 672 107 by by IN A52264 672 108 Arithmetical arithmetical JJ A52264 672 109 proportion proportion NN A52264 672 110 , , , A52264 672 111 as as IN A52264 672 112 the the DT A52264 672 113 numbers number NNS A52264 672 114 of of IN A52264 672 115 the the DT A52264 672 116 first first JJ A52264 672 117 column column NN A52264 672 118 differ differ VBP A52264 672 119 by by IN A52264 672 120 Geometrical geometrical JJ A52264 672 121 proportion proportion NN A52264 672 122 : : : A52264 672 123 For for IN A52264 672 124 example example NN A52264 672 125 . . . A52264 673 1 In in IN A52264 673 2 the the DT A52264 673 3 column column NN A52264 673 4 C c NN A52264 673 5 , , , A52264 673 6 if if IN A52264 673 7 you -PRON- PRP A52264 673 8 will will MD A52264 673 9 appoint appoint VB A52264 673 10 5 5 CD A52264 673 11 to to TO A52264 673 12 be be VB A52264 673 13 the the DT A52264 673 14 Logarithme Logarithme NNP A52264 673 15 of of IN A52264 673 16 one one CD A52264 673 17 , , , A52264 673 18 8 8 CD A52264 673 19 the the DT A52264 673 20 Logarithme Logarithme NNP A52264 673 21 of of IN A52264 673 22 2 2 CD A52264 673 23 , , , A52264 673 24 and and CC A52264 673 25 11 11 CD A52264 673 26 the the DT A52264 673 27 Logarithme Logarithme NNP A52264 673 28 of of IN A52264 673 29 4 4 CD A52264 673 30 , , , A52264 673 31 14 14 CD A52264 673 32 must must MD A52264 673 33 needs needs VB A52264 673 34 be be VB A52264 673 35 the the DT A52264 673 36 Logarithme Logarithme NNP A52264 673 37 of of IN A52264 673 38 8 8 CD A52264 673 39 , , , A52264 673 40 the the DT A52264 673 41 next next JJ A52264 673 42 proportional proportional NN A52264 673 43 , , , A52264 673 44 because because IN A52264 673 45 the the DT A52264 673 46 numbers number NNS A52264 673 47 5 5 CD A52264 673 48 , , , A52264 673 49 8 8 CD A52264 673 50 , , , A52264 673 51 11 11 CD A52264 673 52 , , , A52264 673 53 and and CC A52264 673 54 14 14 CD A52264 673 55 differ differ VBP A52264 673 56 amongst amongst IN A52264 673 57 themselves -PRON- PRP A52264 673 58 by by IN A52264 673 59 Arithmetical arithmetical JJ A52264 673 60 proportion proportion NN A52264 673 61 , , , A52264 673 62 as as IN A52264 673 63 1 1 CD A52264 673 64 , , , A52264 673 65 2 2 CD A52264 673 66 , , , A52264 673 67 4 4 CD A52264 673 68 , , , A52264 673 69 and and CC A52264 673 70 8 8 CD A52264 673 71 ( ( -LRB- A52264 673 72 the the DT A52264 673 73 proportional proportional JJ A52264 673 74 numbers number NNS A52264 673 75 unto unto IN A52264 673 76 which which WDT A52264 673 77 they -PRON- PRP A52264 673 78 are be VBP A52264 673 79 respectively respectively RB A52264 673 80 assigned assign VBN A52264 673 81 ) ) -RRB- A52264 673 82 differ differ VB A52264 673 83 by by IN A52264 673 84 Geometrical geometrical JJ A52264 673 85 proportion proportion NN A52264 673 86 , , , A52264 673 87 that that RB A52264 673 88 is is RB A52264 673 89 , , , A52264 673 90 as as IN A52264 673 91 the the DT A52264 673 92 numbers number NNS A52264 673 93 5 5 CD A52264 673 94 , , , A52264 673 95 8 8 CD A52264 673 96 , , , A52264 673 97 11 11 CD A52264 673 98 , , , A52264 673 99 and and CC A52264 673 100 14 14 CD A52264 673 101 have have VBP A52264 673 102 equal equal JJ A52264 673 103 differences difference NNS A52264 673 104 : : : A52264 673 105 so so CC A52264 673 106 the the DT A52264 673 107 numbers number NNS A52264 673 108 1 1 CD A52264 673 109 , , , A52264 673 110 2 2 CD A52264 673 111 , , , A52264 673 112 4 4 CD A52264 673 113 , , , A52264 673 114 and and CC A52264 673 115 8 8 CD A52264 673 116 have have VBP A52264 673 117 their -PRON- PRP$ A52264 673 118 differences difference NNS A52264 673 119 of of IN A52264 673 120 the the DT A52264 673 121 same same JJ A52264 673 122 kinde kinde NNP A52264 673 123 : : : A52264 673 124 for for IN A52264 673 125 as as IN A52264 673 126 the the DT A52264 673 127 difference difference NN A52264 673 128 between between IN A52264 673 129 5 5 CD A52264 673 130 and and CC A52264 673 131 8 8 CD A52264 673 132 , , , A52264 673 133 8 8 CD A52264 673 134 and and CC A52264 673 135 11 11 CD A52264 673 136 , , , A52264 673 137 11 11 CD A52264 673 138 and and CC A52264 673 139 14 14 CD A52264 673 140 , , , A52264 673 141 is be VBZ A52264 673 142 3 3 CD A52264 673 143 : : : A52264 673 144 so so RB A52264 673 145 in in IN A52264 673 146 the the DT A52264 673 147 other other JJ A52264 673 148 numbers number NNS A52264 673 149 , , , A52264 673 150 as as IN A52264 673 151 1 1 CD A52264 673 152 is be VBZ A52264 673 153 half half RB A52264 673 154 2 2 CD A52264 673 155 , , , A52264 673 156 so so RB A52264 673 157 2 2 CD A52264 673 158 is be VBZ A52264 673 159 half half RB A52264 673 160 4 4 CD A52264 673 161 , , , A52264 673 162 4 4 CD A52264 673 163 half half NN A52264 673 164 8 8 CD A52264 673 165 , , , A52264 673 166 & & CC A52264 673 167 c. c. NNP A52264 673 168 The the DT A52264 673 169 same same JJ A52264 673 170 observation observation NN A52264 673 171 may may MD A52264 673 172 be be VB A52264 673 173 made make VBN A52264 673 174 of of IN A52264 673 175 the the DT A52264 673 176 Logarithmes logarithme NNS A52264 673 177 placed place VBN A52264 673 178 in in IN A52264 673 179 the the DT A52264 673 180 columns column NNS A52264 673 181 , , , A52264 673 182 A a NN A52264 673 183 , , , A52264 673 184 B b NN A52264 673 185 , , , A52264 673 186 and and CC A52264 673 187 D d NN A52264 673 188 , , , A52264 673 189 or or CC A52264 673 190 of of IN A52264 673 191 any any DT A52264 673 192 other other JJ A52264 673 193 numbers number NNS A52264 673 194 which which WDT A52264 673 195 you -PRON- PRP A52264 673 196 shall shall MD A52264 673 197 assigne assigne VB A52264 673 198 as as IN A52264 673 199 Logarithmes logarithme NNS A52264 673 200 unto unto IN A52264 673 201 any any DT A52264 673 202 rank rank NN A52264 673 203 of of IN A52264 673 204 numbers number NNS A52264 673 205 , , , A52264 673 206 which which WDT A52264 673 207 are be VBP A52264 673 208 Geometrically geometrically RB A52264 673 209 proportional proportional JJ A52264 673 210 , , , A52264 673 211 and and CC A52264 673 212 these these DT A52264 673 213 Logarithmes logarithme NNS A52264 673 214 or or CC A52264 673 215 borrowed borrow VBN A52264 673 216 numbers number NNS A52264 673 217 you -PRON- PRP A52264 673 218 may may MD A52264 673 219 propound propound VB A52264 673 220 to to TO A52264 673 221 increase increase VB A52264 673 222 , , , A52264 673 223 and and CC A52264 673 224 to to TO A52264 673 225 be be VB A52264 673 226 continued continue VBN A52264 673 227 upwards upwards RB A52264 673 228 , , , A52264 673 229 as as IN A52264 673 230 those those DT A52264 673 231 of of IN A52264 673 232 the the DT A52264 673 233 columnes columnes NNPS A52264 673 234 A a NN A52264 673 235 , , , A52264 673 236 B b NN A52264 673 237 , , , A52264 673 238 C C NNP A52264 673 239 , , , A52264 673 240 or or CC A52264 673 241 otherwise otherwise RB A52264 673 242 to to TO A52264 673 243 decrease decrease VB A52264 673 244 , , , A52264 673 245 and and CC A52264 673 246 to to TO A52264 673 247 be be VB A52264 673 248 continued continue VBN A52264 673 249 downwards downwards RB A52264 673 250 , , , A52264 673 251 as as IN A52264 673 252 those those DT A52264 673 253 of of IN A52264 673 254 the the DT A52264 673 255 column column NN A52264 673 256 D. D. NNP A52264 673 257     _SP A52264 673 258 A A NNP A52264 673 259 B B NNP A52264 673 260 C c NN A52264 673 261 D d NN A52264 673 262 1 1 CD A52264 673 263 1 1 CD A52264 673 264 5 5 CD A52264 673 265 5 5 CD A52264 673 266 35 35 CD A52264 673 267 2 2 CD A52264 673 268 2 2 CD A52264 673 269 6 6 CD A52264 673 270 8 8 CD A52264 673 271 32 32 CD A52264 673 272 4 4 CD A52264 673 273 3 3 CD A52264 673 274 7 7 CD A52264 673 275 11 11 CD A52264 673 276 29 29 CD A52264 673 277 8 8 CD A52264 673 278 4 4 CD A52264 673 279 8 8 CD A52264 673 280 14 14 CD A52264 673 281 26 26 CD A52264 673 282 16 16 CD A52264 673 283 5 5 CD A52264 673 284 9 9 CD A52264 673 285 17 17 CD A52264 673 286 23 23 CD A52264 673 287 32 32 CD A52264 673 288 6 6 CD A52264 673 289 10 10 CD A52264 673 290 20 20 CD A52264 673 291 20 20 CD A52264 673 292 64 64 CD A52264 673 293 7 7 CD A52264 673 294 11 11 CD A52264 673 295 23 23 CD A52264 673 296 17 17 CD A52264 673 297 128 128 CD A52264 673 298 8 8 CD A52264 673 299 12 12 CD A52264 673 300 26 26 CD A52264 673 301 14 14 CD A52264 673 302 256 256 CD A52264 673 303 9 9 CD A52264 673 304 13 13 CD A52264 673 305 29 29 CD A52264 673 306 11 11 CD A52264 673 307 512 512 CD A52264 673 308 10 10 CD A52264 673 309 14 14 CD A52264 673 310 32 32 CD A52264 673 311 8 8 CD A52264 673 312 1024 1024 CD A52264 673 313 11 11 CD A52264 673 314 15 15 CD A52264 673 315 35 35 CD A52264 673 316 5 5 CD A52264 673 317     _SP A52264 673 318 Log Log NNP A52264 673 319 Log Log NNP A52264 673 320 Log Log NNP A52264 673 321 Log Log NNP A52264 673 322 The the DT A52264 673 323 numbers number NNS A52264 673 324 continually continually RB A52264 673 325 proportional proportional JJ A52264 673 326 , , , A52264 673 327 which which WDT A52264 673 328 Mr. Mr. NNP A52264 673 329 Briggs Briggs NNP A52264 673 330 ( ( -LRB- A52264 673 331 after after IN A52264 673 332 a a DT A52264 673 333 conference conference NN A52264 673 334 had have VBD A52264 673 335 with with IN A52264 673 336 the the DT A52264 673 337 Lord Lord NNP A52264 673 338 Nepeir Nepeir NNP A52264 673 339 ) ) -RRB- A52264 673 340 hath hath NN A52264 673 341 proposed propose VBD A52264 673 342 to to IN A52264 673 343 himself -PRON- PRP A52264 673 344 in in IN A52264 673 345 the the DT A52264 673 346 Calculation Calculation NNP A52264 673 347 of of IN A52264 673 348 his -PRON- PRP$ A52264 673 349 C C NNP A52264 673 350 ● ● . A52264 673 351 ili ili NNP A52264 673 352 ● ● NFP A52264 673 353 des des FW A52264 673 354 , , , A52264 673 355 are be VBP A52264 673 356 1 1 CD A52264 673 357 , , , A52264 673 358 10 10 CD A52264 673 359 , , , A52264 673 360 100 100 CD A52264 673 361 , , , A52264 673 362 1000 1000 CD A52264 673 363 , , , A52264 673 364 & & CC A52264 673 365 c. c. NNP A52264 673 366 to to TO A52264 673 367 which which WDT A52264 673 368 numbers number NNS A52264 673 369 he -PRON- PRP A52264 673 370 hath hath NN A52264 673 371 assigned assign VBN A52264 673 372 for for IN A52264 673 373 Logarithmes Logarithmes NNP A52264 673 374 000 000 CD A52264 673 375 , , , A52264 673 376 & & CC A52264 673 377 c. c. NNP A52264 673 378 1000 1000 CD A52264 673 379 , , , A52264 673 380 and and CC A52264 673 381 2000 2000 CD A52264 673 382 , , , A52264 673 383 and and CC A52264 673 384 3000 3000 CD A52264 673 385 , , , A52264 673 386 that that DT A52264 673 387 is be VBZ A52264 673 388 to to TO A52264 673 389 say say VB A52264 673 390 , , , A52264 673 391 to to IN A52264 673 392 1 1 CD A52264 673 393 , , , A52264 673 394 the the DT A52264 673 395 Logarithme Logarithme NNP A52264 673 396 0.000 0.000 CD A52264 673 397 , , , A52264 673 398 and and CC A52264 673 399 to to IN A52264 673 400 10 10 CD A52264 673 401 , , , A52264 673 402 the the DT A52264 673 403 Logarithme Logarithme NNP A52264 673 404 1,000 1,000 CD A52264 673 405 , , , A52264 673 406 and and CC A52264 673 407 to to IN A52264 673 408 100 100 CD A52264 673 409 the the DT A52264 673 410 Logarithme Logarithme NNP A52264 673 411 2.000 2.000 CD A52264 673 412 , , , A52264 673 413 as as IN A52264 673 414 in in IN A52264 673 415 the the DT A52264 673 416 table table NN A52264 673 417 following follow VBG A52264 673 418 you -PRON- PRP A52264 673 419 may may MD A52264 673 420 perceive perceive VB A52264 673 421 . . . A52264 674 1 In in IN A52264 674 2 the the DT A52264 674 3 column column NN A52264 674 4 marked mark VBN A52264 674 5 by by IN A52264 674 6 the the DT A52264 674 7 letter letter NN A52264 674 8 A a NN A52264 674 9 , , , A52264 674 10 there there EX A52264 674 11 is be VBZ A52264 674 12 a a DT A52264 674 13 rank rank NN A52264 674 14 of of IN A52264 674 15 numbers number NNS A52264 674 16 continually continually RB A52264 674 17 proportional proportional JJ A52264 674 18 from from IN A52264 674 19 1 1 CD A52264 674 20 , , , A52264 674 21 and and CC A52264 674 22 over over RB A52264 674 23 against against IN A52264 674 24 each each DT A52264 674 25 number number NN A52264 674 26 his -PRON- PRP$ A52264 674 27 respective respective JJ A52264 674 28 Logarithme Logarithme NNP A52264 674 29 in in IN A52264 674 30 the the DT A52264 674 31 other other JJ A52264 674 32 column column NN A52264 674 33 , , , A52264 674 34 signed sign VBN A52264 674 35 by by IN A52264 674 36 the the DT A52264 674 37 letter letter NN A52264 674 38 B. B. NNP A52264 675 1 A a DT A52264 675 2 B b NN A52264 675 3 1 1 CD A52264 675 4 0.00000 0.00000 CD A52264 675 5 10 10 CD A52264 675 6 1.00000 1.00000 CD A52264 675 7 100 100 CD A52264 675 8 2.00000 2.00000 CD A52264 675 9 1000 1000 CD A52264 675 10 3.00000 3.00000 CD A52264 675 11 10000 10000 CD A52264 675 12 4.00000 4.00000 CD A52264 675 13 Having have VBG A52264 675 14 thus thus RB A52264 675 15 assigned assign VBN A52264 675 16 the the DT A52264 675 17 Logarithme Logarithme NNP A52264 675 18 to to IN A52264 675 19 the the DT A52264 675 20 proportional proportional JJ A52264 675 21 numbers number NNS A52264 675 22 of of IN A52264 675 23 1 1 CD A52264 675 24 , , , A52264 675 25 10 10 CD A52264 675 26 , , , A52264 675 27 100 100 CD A52264 675 28 , , , A52264 675 29 1000 1000 CD A52264 675 30 , , , A52264 675 31 & & CC A52264 675 32 c. c. NNP A52264 675 33 in in IN A52264 675 34 the the DT A52264 675 35 next next JJ A52264 675 36 place place NN A52264 675 37 , , , A52264 675 38 it -PRON- PRP A52264 675 39 is be VBZ A52264 675 40 requisite requisite JJ A52264 675 41 to to TO A52264 675 42 finde finde VB A52264 675 43 the the DT A52264 675 44 Logarithmes logarithme NNS A52264 675 45 of of IN A52264 675 46 the the DT A52264 675 47 mean mean JJ A52264 675 48 numbers number NNS A52264 675 49 situate situate VBP A52264 675 50 amongst amongst IN A52264 675 51 those those DT A52264 675 52 proportionals proportional NNS A52264 675 53 of of IN A52264 675 54 the the DT A52264 675 55 same same JJ A52264 675 56 table table NN A52264 675 57 , , , A52264 675 58 viz viz NN A52264 675 59 . . . A52264 676 1 of of IN A52264 676 2 2 2 CD A52264 676 3 , , , A52264 676 4 3 3 CD A52264 676 5 , , , A52264 676 6 4 4 CD A52264 676 7 , , , A52264 676 8 & & CC A52264 676 9 c. c. NNP A52264 676 10 which which WDT A52264 676 11 are be VBP A52264 676 12 numbers number NNS A52264 676 13 scituate scituate NNP A52264 676 14 betwixt betwixt NNP A52264 676 15 1 1 CD A52264 676 16 and and CC A52264 676 17 10 10 CD A52264 676 18 , , , A52264 676 19 of of IN A52264 676 20 11 11 CD A52264 676 21 , , , A52264 676 22 12 12 CD A52264 676 23 , , , A52264 676 24 13 13 CD A52264 676 25 , , , A52264 676 26 & & CC A52264 676 27 c. c. NNP A52264 676 28 which which WDT A52264 676 29 are be VBP A52264 676 30 placed place VBN A52264 676 31 betwixt betwixt NNP A52264 676 32 10 10 CD A52264 676 33 and and CC A52264 676 34 100 100 CD A52264 676 35 ; ; : A52264 676 36 and and CC A52264 676 37 so so RB A52264 676 38 consequently consequently RB A52264 676 39 of of IN A52264 676 40 the the DT A52264 676 41 rest rest NN A52264 676 42 : : : A52264 676 43 wherefore wherefore VBD A52264 676 44 how how WRB A52264 676 45 this this DT A52264 676 46 also also RB A52264 676 47 may may MD A52264 676 48 be be VB A52264 676 49 done do VBN A52264 676 50 we -PRON- PRP A52264 676 51 intend intend VBP A52264 676 52 to to TO A52264 676 53 explain explain VB A52264 676 54 by by IN A52264 676 55 that that DT A52264 676 56 which which WDT A52264 676 57 followeth followeth NNP A52264 676 58 . . . A52264 677 1 1 1 LS A52264 677 2 . . . A52264 678 1 § § ADD A52264 678 2 . . . A52264 679 1 Make make VB A52264 679 2 choice choice NN A52264 679 3 of of IN A52264 679 4 one one CD A52264 679 5 of of IN A52264 679 6 the the DT A52264 679 7 propotional propotional JJ A52264 679 8 numbers number NNS A52264 679 9 in in IN A52264 679 10 the the DT A52264 679 11 Table Table NNP A52264 679 12 AB AB NNP A52264 679 13 , , , A52264 679 14 and and CC A52264 679 15 by by IN A52264 679 16 a a DT A52264 679 17 continued continued JJ A52264 679 18 extraction extraction NN A52264 679 19 of of IN A52264 679 20 the the DT A52264 679 21 square square JJ A52264 679 22 root root NN A52264 679 23 create create VBP A52264 679 24 a a DT A52264 679 25 rank rank NN A52264 679 26 of of IN A52264 679 27 continuall continuall NN A52264 679 28 meanes meanes NNPS A52264 679 29 betwixt betwixt NNP A52264 679 30 that that DT A52264 679 31 number number NN A52264 679 32 and and CC A52264 679 33 1 1 CD A52264 679 34 , , , A52264 679 35 in in IN A52264 679 36 such such JJ A52264 679 37 sort sort NN A52264 679 38 , , , A52264 679 39 that that IN A52264 679 40 the the DT A52264 679 41 continuall continuall NN A52264 679 42 mean mean NN A52264 679 43 which which WDT A52264 679 44 cometh cometh JJ A52264 679 45 nearest near JJS A52264 679 46 1 1 CD A52264 679 47 may may MD A52264 679 48 be be VB A52264 679 49 a a DT A52264 679 50 mixt mixt NN A52264 679 51 number number NN A52264 679 52 , , , A52264 679 53 lesse lesse NNP A52264 679 54 then then RB A52264 679 55 2 2 CD A52264 679 56 , , , A52264 679 57 and and CC A52264 679 58 so so RB A52264 679 59 near near IN A52264 679 60 1 1 CD A52264 679 61 , , , A52264 679 62 that that IN A52264 679 63 it -PRON- PRP A52264 679 64 may may MD A52264 679 65 have have VB A52264 679 66 as as RB A52264 679 67 many many JJ A52264 679 68 ciphers cipher NNS A52264 679 69 before before IN A52264 679 70 the the DT A52264 679 71 significant significant JJ A52264 679 72 figures figure NNS A52264 679 73 of of IN A52264 679 74 the the DT A52264 679 75 numerator numerator NN A52264 679 76 , , , A52264 679 77 as as IN A52264 679 78 you -PRON- PRP A52264 679 79 intend intend VBP A52264 679 80 that that IN A52264 679 81 the the DT A52264 679 82 Logarithmes logarithme NNS A52264 679 83 of of IN A52264 679 84 your -PRON- PRP$ A52264 679 85 Table table NN A52264 679 86 shall shall MD A52264 679 87 consist consist VB A52264 679 88 of of IN A52264 679 89 places place NNS A52264 679 90 . . . A52264 680 1 Example example NN A52264 680 2 . . . A52264 681 1 In in IN A52264 681 2 the the DT A52264 681 3 premised premised JJ A52264 681 4 Table Table NNP A52264 681 5 AB AB NNP A52264 681 6 , , , A52264 681 7 I -PRON- PRP A52264 681 8 take take VBP A52264 681 9 10 10 CD A52264 681 10 , , , A52264 681 11 the the DT A52264 681 12 second second JJ A52264 681 13 proportional proportional NN A52264 681 14 of of IN A52264 681 15 that that DT A52264 681 16 Table table NN A52264 681 17 , , , A52264 681 18 then then RB A52264 681 19 annexing annex VBG A52264 681 20 unto unto IN A52264 681 21 it -PRON- PRP A52264 681 22 a a DT A52264 681 23 compent compent JJ A52264 681 24 company company NN A52264 681 25 of of IN A52264 681 26 ciphers cipher NNS A52264 681 27 , , , A52264 681 28 as as IN A52264 681 29 twenty twenty CD A52264 681 30 and and CC A52264 681 31 four four CD A52264 681 32 , , , A52264 681 33 thirty thirty CD A52264 681 34 and and CC A52264 681 35 six six CD A52264 681 36 , , , A52264 681 37 fourty fourty NN A52264 681 38 and and CC A52264 681 39 eight eight CD A52264 681 40 , , , A52264 681 41 or or CC A52264 681 42 any any DT A52264 681 43 other other JJ A52264 681 44 number number NN A52264 681 45 at at IN A52264 681 46 pleasure pleasure NN A52264 681 47 ; ; : A52264 681 48 onely onely RB A52264 681 49 observe observe VBP A52264 681 50 , , , A52264 681 51 that that IN A52264 681 52 the the DT A52264 681 53 more more JJR A52264 681 54 ciphers cipher NNS A52264 681 55 you -PRON- PRP A52264 681 56 annex annex VBP A52264 681 57 unto unto IN A52264 681 58 the the DT A52264 681 59 number number NN A52264 681 60 given give VBN A52264 681 61 , , , A52264 681 62 the the DT A52264 681 63 more more RBR A52264 681 64 just just RB A52264 681 65 and and CC A52264 681 66 exact exact VB A52264 681 67 the the DT A52264 681 68 operation operation NN A52264 681 69 will will MD A52264 681 70 prove prove VB A52264 681 71 ; ; : A52264 681 72 to to TO A52264 681 73 make make VB A52264 681 74 the the DT A52264 681 75 Logarithmes logarithme NNS A52264 681 76 of of IN A52264 681 77 a a DT A52264 681 78 Table table NN A52264 681 79 to to IN A52264 681 80 seven seven CD A52264 681 81 places place NNS A52264 681 82 28 28 CD A52264 681 83 ciphers cipher NNS A52264 681 84 will will MD A52264 681 85 be be VB A52264 681 86 sufficient sufficient JJ A52264 681 87 , , , A52264 681 88 they -PRON- PRP A52264 681 89 being be VBG A52264 681 90 therefore therefore RB A52264 681 91 added add VBN A52264 681 92 to to IN A52264 681 93 10 10 CD A52264 681 94 , , , A52264 681 95 I -PRON- PRP A52264 681 96 extract extract VBP A52264 681 97 the the DT A52264 681 98 square square JJ A52264 681 99 root root NN A52264 681 100 thereof thereof RB A52264 681 101 , , , A52264 681 102 and and CC A52264 681 103 finde finde VB A52264 681 104 it -PRON- PRP A52264 681 105 to to TO A52264 681 106 be be VB A52264 681 107 3.16227766016837 3.16227766016837 CD A52264 681 108 ; ; : A52264 681 109 again again RB A52264 681 110 , , , A52264 681 111 annexing annex VBG A52264 681 112 unto unto IN A52264 681 113 this this DT A52264 681 114 root root NN A52264 681 115 thus thus RB A52264 681 116 found find VBD A52264 681 117 14 14 CD A52264 681 118 ciphers cipher NNS A52264 681 119 more more JJR A52264 681 120 , , , A52264 681 121 and and CC A52264 681 122 working work VBG A52264 681 123 by by IN A52264 681 124 that that DT A52264 681 125 entire entire JJ A52264 681 126 number number NN A52264 681 127 so so RB A52264 681 128 ordered order VBN A52264 681 129 , , , A52264 681 130 as as IN A52264 681 131 if if IN A52264 681 132 it -PRON- PRP A52264 681 133 were be VBD A52264 681 134 a a DT A52264 681 135 whole whole JJ A52264 681 136 number number NN A52264 681 137 , , , A52264 681 138 I -PRON- PRP A52264 681 139 extract extract VBP A52264 681 140 the the DT A52264 681 141 root root NN A52264 681 142 thereof thereof RB A52264 681 143 , , , A52264 681 144 which which WDT A52264 681 145 I -PRON- PRP A52264 681 146 finde finde VBP A52264 681 147 to to TO A52264 681 148 be be VB A52264 681 149 1.77827941003892 1.77827941003892 CD A52264 681 150 : : : A52264 681 151 and and CC A52264 681 152 so so RB A52264 681 153 proceeding proceed VBG A52264 681 154 successively successively RB A52264 681 155 by by IN A52264 681 156 a a DT A52264 681 157 continued continued JJ A52264 681 158 extraction extraction NN A52264 681 159 , , , A52264 681 160 I -PRON- PRP A52264 681 161 produce produce VBP A52264 681 162 27 27 CD A52264 681 163 square square JJ A52264 681 164 roots root NNS A52264 681 165 , , , A52264 681 166 or or CC A52264 681 167 continual continual JJ A52264 681 168 means means NNPS A52264 681 169 betwixt betwixt NNP A52264 681 170 10 10 CD A52264 681 171 and and CC A52264 681 172 1 1 CD A52264 681 173 , , , A52264 681 174 and and CC A52264 681 175 write write VB A52264 681 176 them -PRON- PRP A52264 681 177 down down RP A52264 681 178 in in IN A52264 681 179 the the DT A52264 681 180 first first JJ A52264 681 181 column column NN A52264 681 182 of of IN A52264 681 183 the the DT A52264 681 184 Table Table NNP A52264 681 185 hereunto hereunto VBZ A52264 681 186 annexed annex VBN A52264 681 187 , , , A52264 681 188 in in IN A52264 681 189 which which WDT A52264 681 190 you -PRON- PRP A52264 681 191 may may MD A52264 681 192 observe observe VB A52264 681 193 , , , A52264 681 194 that that IN A52264 681 195 the the DT A52264 681 196 three three CD A52264 681 197 last last JJ A52264 681 198 numbers number NNS A52264 681 199 marked mark VBN A52264 681 200 by by IN A52264 681 201 the the DT A52264 681 202 letters letter NNS A52264 681 203 G g NN A52264 681 204 , , , A52264 681 205 H h NN A52264 681 206 , , , A52264 681 207 and and CC A52264 681 208 L l NN A52264 681 209 , , , A52264 681 210 viz viz NN A52264 681 211 . . . A52264 682 1 1.00000006862238 1.00000006862238 CD A52264 682 2 1.00000003431119 1.00000003431119 CD A52264 682 3 1.00000001715559 1.00000001715559 CD A52264 682 4 are be VBP A52264 682 5 each each DT A52264 682 6 of of IN A52264 682 7 them -PRON- PRP A52264 682 8 mixt mixt VBP A52264 682 9 numbers number NNS A52264 682 10 lesse lesse NNP A52264 682 11 then then RB A52264 682 12 2 2 CD A52264 682 13 , , , A52264 682 14 and and CC A52264 682 15 greater great JJR A52264 682 16 then then RB A52264 682 17 1 1 CD A52264 682 18 , , , A52264 682 19 and and CC A52264 682 20 likewise likewise RB A52264 682 21 to to TO A52264 682 22 have have VB A52264 682 23 seven seven CD A52264 682 24 ciphers cipher NNS A52264 682 25 placed place VBN A52264 682 26 bef bef NNP A52264 682 27 ● ● NFP A52264 682 28 re re VB A52264 682 29 the the DT A52264 682 30 significant significant JJ A52264 682 31 figures figure NNS A52264 682 32 of of IN A52264 682 33 their -PRON- PRP$ A52264 682 34 numerators numerator NNS A52264 682 35 , , , A52264 682 36 according accord VBG A52264 682 37 to to IN A52264 682 38 the the DT A52264 682 39 true true JJ A52264 682 40 meaning meaning NN A52264 682 41 and and CC A52264 682 42 intention intention NN A52264 682 43 of of IN A52264 682 44 this this DT A52264 682 45 present present JJ A52264 682 46 rule rule NN A52264 682 47 . . . A52264 683 1 2 2 LS A52264 683 2 . . . A52264 684 1 § § ADD A52264 684 2 . . . A52264 685 1 Having have VBG A52264 685 2 thus thus RB A52264 685 3 produced produce VBN A52264 685 4 a a DT A52264 685 5 great great JJ A52264 685 6 company company NN A52264 685 7 of of IN A52264 685 8 continual continual NNP A52264 685 9 meanes meanes NNPS A52264 685 10 , , , A52264 685 11 annex annex NNP A52264 685 12 unto unto IN A52264 685 13 them -PRON- PRP A52264 685 14 their -PRON- PRP$ A52264 685 15 proper proper JJ A52264 685 16 Logarithmes logarithme NNS A52264 685 17 , , , A52264 685 18 by by IN A52264 685 19 halfing halfe VBG A52264 685 20 first first RB A52264 685 21 the the DT A52264 685 22 Logarithme Logarithme NNP A52264 685 23 of of IN A52264 685 24 the the DT A52264 685 25 number number NN A52264 685 26 taken take VBN A52264 685 27 , , , A52264 685 28 and and CC A52264 685 29 then then RB A52264 685 30 successively successively RB A52264 685 31 the the DT A52264 685 32 Logarithme Logarithme NNP A52264 685 33 of of IN A52264 685 34 the the DT A52264 685 35 rest rest NN A52264 685 36 . . . A52264 686 1 For for IN A52264 686 2 example example NN A52264 686 3 . . . A52264 687 1 1.000000000000000 1.000000000000000 CD A52264 687 2 being be VBG A52264 687 3 assigned assign VBN A52264 687 4 the the DT A52264 687 5 Logarithme Logarithme NNP A52264 687 6 of of IN A52264 687 7 10 10 CD A52264 687 8 , , , A52264 687 9 the the DT A52264 687 10 number number NN A52264 687 11 taken take VBN A52264 687 12 0.500000 0.500000 CD A52264 687 13 , , , A52264 687 14 & & CC A52264 687 15 c. c. NNP A52264 687 16 marked mark VBN A52264 687 17 by by IN A52264 687 18 the the DT A52264 687 19 letter letter NN A52264 687 20 D d NN A52264 687 21 , , , A52264 687 22 in in IN A52264 687 23 the the DT A52264 687 24 second second JJ A52264 687 25 column column NN A52264 687 26 of of IN A52264 687 27 the the DT A52264 687 28 following follow VBG A52264 687 29 Table table NN A52264 687 30 , , , A52264 687 31 which which WDT A52264 687 32 is be VBZ A52264 687 33 the the DT A52264 687 34 half half NN A52264 687 35 of of IN A52264 687 36 1.0000 1.0000 CD A52264 687 37 , , , A52264 687 38 & & CC A52264 687 39 c. c. NNP A52264 687 40 is be VBZ A52264 687 41 the the DT A52264 687 42 Logarithme Logarithme NNP A52264 687 43 of of IN A52264 687 44 the the DT A52264 687 45 number number NN A52264 687 46 A a NN A52264 687 47 , , , A52264 687 48 the the DT A52264 687 49 square square JJ A52264 687 50 root root NN A52264 687 51 of of IN A52264 687 52 10 10 CD A52264 687 53 : : : A52264 687 54 in in IN A52264 687 55 like like IN A52264 687 56 manner manner NNP A52264 687 57 0.25000 0.25000 NNP A52264 687 58 , , , A52264 687 59 & & CC A52264 687 60 c. c. NNP A52264 687 61 being be VBG A52264 687 62 half half NN A52264 687 63 0.5000 0.5000 CD A52264 687 64 , , , A52264 687 65 and and CC A52264 687 66 is be VBZ A52264 687 67 the the DT A52264 687 68 Logarithme Logarithme NNP A52264 687 69 of of IN A52264 687 70 the the DT A52264 687 71 number number NN A52264 687 72 B b NN A52264 687 73 , , , A52264 687 74 and and CC A52264 687 75 0.125000 0.125000 CD A52264 687 76 , , , A52264 687 77 & & CC A52264 687 78 c. c. NNP A52264 687 79 is be VBZ A52264 687 80 the the DT A52264 687 81 Logarithme Logarithme NNP A52264 687 82 of of IN A52264 687 83 the the DT A52264 687 84 number number NN A52264 687 85 C c NN A52264 687 86 , , , A52264 687 87 and and CC A52264 687 88 so so RB A52264 687 89 of of IN A52264 687 90 the the DT A52264 687 91 rest rest NN A52264 687 92 in in IN A52264 687 93 their -PRON- PRP$ A52264 687 94 order order NN A52264 687 95 . . . A52264 688 1 So so RB A52264 688 2 that that IN A52264 688 3 at at IN A52264 688 4 last last JJ A52264 688 5 , , , A52264 688 6 as as IN A52264 688 7 you -PRON- PRP A52264 688 8 have have VBP A52264 688 9 in in IN A52264 688 10 the the DT A52264 688 11 first first JJ A52264 688 12 column column NN A52264 688 13 of of IN A52264 688 14 the the DT A52264 688 15 following follow VBG A52264 688 16 Table table NN A52264 688 17 27 27 CD A52264 688 18 continuall continuall NN A52264 688 19 meanes meane NNS A52264 688 20 , , , A52264 688 21 betwixt betwixt NNP A52264 688 22 10 10 CD A52264 688 23 and and CC A52264 688 24 1 1 CD A52264 688 25 , , , A52264 688 26 as as IN A52264 688 27 aforesaid aforesaid VBD A52264 688 28 : : : A52264 688 29 So so RB A52264 688 30 in in IN A52264 688 31 the the DT A52264 688 32 other other JJ A52264 688 33 column column NN A52264 688 34 you -PRON- PRP A52264 688 35 have have VBP A52264 688 36 to to IN A52264 688 37 each each DT A52264 688 38 of of IN A52264 688 39 those those DT A52264 688 40 continuall continuall NN A52264 688 41 meanes meane NNS A52264 688 42 , , , A52264 688 43 his -PRON- PRP$ A52264 688 44 respective respective JJ A52264 688 45 Logarihme Logarihme NNP A52264 688 46 . . . A52264 689 1 3 3 LS A52264 689 2 . . . A52264 690 1 § § ADD A52264 690 2 . . . A52264 691 1 When when WRB A52264 691 2 a a DT A52264 691 3 number number NN A52264 691 4 which which WDT A52264 691 5 being be VBG A52264 691 6 lesse lesse NNP A52264 691 7 then then RB A52264 691 8 2 2 CD A52264 691 9 , , , A52264 691 10 and and CC A52264 691 11 greater great JJR A52264 691 12 then then RB A52264 691 13 1 1 CD A52264 691 14 , , , A52264 691 15 comes come VBZ A52264 691 16 so so RB A52264 691 17 neer neer VB A52264 691 18 to to IN A52264 691 19 1 1 CD A52264 691 20 , , , A52264 691 21 that that IN A52264 691 22 it -PRON- PRP A52264 691 23 hath hath VBP A52264 691 24 seven seven CD A52264 691 25 ciphers cipher NNS A52264 691 26 placed place VBN A52264 691 27 before before IN A52264 691 28 the the DT A52264 691 29 significant significant JJ A52264 691 30 figures figure NNS A52264 691 31 of of IN A52264 691 32 the the DT A52264 691 33 numerator numerator NN A52264 691 34 , , , A52264 691 35 the the DT A52264 691 36 first first JJ A52264 691 37 seven seven CD A52264 691 38 significant significant JJ A52264 691 39 figures figure NNS A52264 691 40 of of IN A52264 691 41 the the DT A52264 691 42 numerator numerator NN A52264 691 43 of of IN A52264 691 44 such such PDT A52264 691 45 a a DT A52264 691 46 number number NN A52264 691 47 , , , A52264 691 48 and and CC A52264 691 49 the the DT A52264 691 50 first first JJ A52264 691 51 seven seven CD A52264 691 52 significant significant JJ A52264 691 53 figures figure NNS A52264 691 54 of of IN A52264 691 55 the the DT A52264 691 56 numerator numerator NN A52264 691 57 of of IN A52264 691 58 his -PRON- PRP$ A52264 691 59 square square JJ A52264 691 60 root root NN A52264 691 61 lessen lessen VBD A52264 691 62 themselves -PRON- PRP A52264 691 63 like like IN A52264 691 64 their -PRON- PRP$ A52264 691 65 Logarithmes logarithme NNS A52264 691 66 , , , A52264 691 67 that that RB A52264 691 68 is is RB A52264 691 69 , , , A52264 691 70 by by IN A52264 691 71 halfes halfe NNS A52264 691 72 . . . A52264 692 1 This this DT A52264 692 2 is be VBZ A52264 692 3 proved prove VBN A52264 692 4 by by IN A52264 692 5 the the DT A52264 692 6 Table table NN A52264 692 7 following follow VBG A52264 692 8 ; ; : A52264 692 9 for for IN A52264 692 10 there there RB A52264 692 11 in in IN A52264 692 12 the the DT A52264 692 13 second second JJ A52264 692 14 column column NN A52264 692 15 thereof thereof RB A52264 692 16 , , , A52264 692 17 the the DT A52264 692 18 number number NN A52264 692 19 N n IN A52264 692 20 being be VBG A52264 692 21 the the DT A52264 692 22 Logarithme Logarithme NNP A52264 692 23 of of IN A52264 692 24 the the DT A52264 692 25 number number NN A52264 692 26 G g NN A52264 692 27 , , , A52264 692 28 I -PRON- PRP A52264 692 29 say say VBP A52264 692 30 , , , A52264 692 31 as as IN A52264 692 32 the the DT A52264 692 33 Logarithme Logarithme NNP A52264 692 34 K K NNP A52264 692 35 is be VBZ A52264 692 36 half half PDT A52264 692 37 the the DT A52264 692 38 Logarithme Logarithme NNP A52264 692 39 N N NNP A52264 692 40 , , , A52264 692 41 so so RB A52264 692 42 3431119 3431119 CD A52264 692 43 , , , A52264 692 44 the the DT A52264 692 45 first first JJ A52264 692 46 seven seven CD A52264 692 47 figures figure NNS A52264 692 48 of of IN A52264 692 49 the the DT A52264 692 50 numerator numerator NN A52264 692 51 of of IN A52264 692 52 the the DT A52264 692 53 number number NN A52264 692 54 H h NN A52264 692 55 , , , A52264 692 56 are be VBP A52264 692 57 half half RB A52264 692 58 6862238 6862238 CD A52264 692 59 , , , A52264 692 60 the the DT A52264 692 61 first first JJ A52264 692 62 seven seven CD A52264 692 63 significant significant JJ A52264 692 64 figures figure NNS A52264 692 65 of of IN A52264 692 66 the the DT A52264 692 67 numerator numerator NN A52264 692 68 of of IN A52264 692 69 the the DT A52264 692 70 number number NN A52264 692 71 G. G. NNP A52264 692 72 Any Any NNP A52264 692 73 two two CD A52264 692 74 numbers number NNS A52264 692 75 of of IN A52264 692 76 this this DT A52264 692 77 kinde kinde NNP A52264 692 78 therefore therefore RB A52264 692 79 being be VBG A52264 692 80 given give VBN A52264 692 81 , , , A52264 692 82 their -PRON- PRP$ A52264 692 83 Logarithmes logarithme NNS A52264 692 84 and and CC A52264 692 85 the the DT A52264 692 86 significant significant JJ A52264 692 87 figures figure NNS A52264 692 88 of of IN A52264 692 89 their -PRON- PRP$ A52264 692 90 numerators numerator NNS A52264 692 91 are be VBP A52264 692 92 proportional proportional JJ A52264 692 93 . . . A52264 693 1 Example example NN A52264 693 2 . . . A52264 694 1 The the DT A52264 694 2 numerators numerator NNS A52264 694 3 G g NN A52264 694 4 and and CC A52264 694 5 H H NNP A52264 694 6 being be VBG A52264 694 7 given give VBN A52264 694 8 , , , A52264 694 9 I -PRON- PRP A52264 694 10 say say VBP A52264 694 11 , , , A52264 694 12 as as IN A52264 694 13 6862238 6862238 CD A52264 694 14 , , , A52264 694 15 the the DT A52264 694 16 significant significant JJ A52264 694 17 figures figure NNS A52264 694 18 of of IN A52264 694 19 the the DT A52264 694 20 numerator numerator NN A52264 694 21 of of IN A52264 694 22 the the DT A52264 694 23 number number NN A52264 694 24 G g NN A52264 694 25 ; ; : A52264 694 26 are be VBP A52264 694 27 to to IN A52264 694 28 3431119 3431119 CD A52264 694 29 , , , A52264 694 30 the the DT A52264 694 31 significant significant JJ A52264 694 32 figures figure NNS A52264 694 33 of of IN A52264 694 34 the the DT A52264 694 35 numerator numerator NN A52264 694 36 of of IN A52264 694 37 the the DT A52264 694 38 number number NN A52264 694 39 H h NN A52264 694 40 ; ; : A52264 694 41 so so RB A52264 694 42 is be VBZ A52264 694 43 29802322 29802322 CD A52264 694 44 , , , A52264 694 45 the the DT A52264 694 46 Logarithme Logarithme NNP A52264 694 47 of of IN A52264 694 48 the the DT A52264 694 49 number number NN A52264 694 50 G g NN A52264 694 51 , , , A52264 694 52 to to IN A52264 694 53 140901161 140901161 CD A52264 694 54 , , , A52264 694 55 the the DT A52264 694 56 Logarithme Logarithme NNP A52264 694 57 of of IN A52264 694 58 the the DT A52264 694 59 number number NN A52264 694 60 H. h. NN A52264 694 61 In in IN A52264 694 62 like like JJ A52264 694 63 manner manner NN A52264 694 64 , , , A52264 694 65 G G NNP A52264 694 66 and and CC A52264 694 67 L L NNP A52264 694 68 being be VBG A52264 694 69 given give VBN A52264 694 70 , , , A52264 694 71 as as IN A52264 694 72 6862238 6862238 CD A52264 694 73 , , , A52264 694 74 is be VBZ A52264 694 75 to to IN A52264 694 76 1715559 1715559 CD A52264 694 77 , , , A52264 694 78 so so RB A52264 694 79 is be VBZ A52264 694 80 29802322 29802322 CD A52264 694 81 , , , A52264 694 82 the the DT A52264 694 83 Logarithme Logarithme NNP A52264 694 84 of of IN A52264 694 85 the the DT A52264 694 86 number number NN A52264 694 87 G g NN A52264 694 88 , , , A52264 694 89 to to IN A52264 694 90 7450580 7450580 CD A52264 694 91 , , , A52264 694 92 the the DT A52264 694 93 Logarithme Logarithme NNP A52264 694 94 of of IN A52264 694 95 the the DT A52264 694 96 number number NN A52264 694 97 L. L. NNP A52264 694 98 This This NNP A52264 694 99 holdeth holdeth NN A52264 694 100 also also RB A52264 694 101 true true JJ A52264 694 102 in in IN A52264 694 103 any any DT A52264 694 104 other other JJ A52264 694 105 number number NN A52264 694 106 of of IN A52264 694 107 this this DT A52264 694 108 kinde kinde NNP A52264 694 109 , , , A52264 694 110 though though IN A52264 694 111 it -PRON- PRP A52264 694 112 be be VB A52264 694 113 not not RB A52264 694 114 one one CD A52264 694 115 of of IN A52264 694 116 the the DT A52264 694 117 continual continual JJ A52264 694 118 means means NNPS A52264 694 119 betwixt betwixt NNP A52264 694 120 10 10 CD A52264 694 121 and and CC A52264 694 122 1 1 CD A52264 694 123 , , , A52264 694 124 for for IN A52264 694 125 the the DT A52264 694 126 significant significant JJ A52264 694 127 figures figure NNS A52264 694 128 of of IN A52264 694 129 the the DT A52264 694 130 numerator numerator NN A52264 694 131 of of IN A52264 694 132 any any DT A52264 694 133 such such JJ A52264 694 134 number number NN A52264 694 135 bear bear VBP A52264 694 136 the the DT A52264 694 137 same same JJ A52264 694 138 proportion proportion NN A52264 694 139 to to IN A52264 694 140 his -PRON- PRP$ A52264 694 141 proper proper JJ A52264 694 142 Logarithme Logarithme NNP A52264 694 143 , , , A52264 694 144 that that IN A52264 694 145 the the DT A52264 694 146 significant significant JJ A52264 694 147 figures figure NNS A52264 694 148 of of IN A52264 694 149 any any DT A52264 694 150 of of IN A52264 694 151 the the DT A52264 694 152 numbers number NNS A52264 694 153 marked mark VBN A52264 694 154 by by IN A52264 694 155 the the DT A52264 694 156 letters letter NNS A52264 694 157 G g NN A52264 694 158 , , , A52264 694 159 H h NN A52264 694 160 , , , A52264 694 161 or or CC A52264 694 162 L l NN A52264 694 163 bear bear VB A52264 694 164 to to IN A52264 694 165 his -PRON- PRP A52264 694 166 . . . A52264 695 1 10.0000 10.0000 CD A52264 695 2 , , , A52264 695 3 & & CC A52264 695 4 c. c. NNP A52264 695 5 1.000000000000000 1.000000000000000 CD A52264 695 6     _SP A52264 695 7 A a DT A52264 695 8 3.16227766016837 3.16227766016837 CD A52264 695 9 0.500000000000000 0.500000000000000 CD A52264 695 10 D d NN A52264 695 11 B B NNP A52264 695 12 1.77827941003892 1.77827941003892 CD A52264 695 13 0.250000000000000 0.250000000000000 CD A52264 695 14     _SP A52264 695 15 C C NNP A52264 695 16 1.33352143216332 1.33352143216332 CD A52264 695 17 0.125000000000000 0.125000000000000 CD A52264 695 18         _SP A52264 695 19 1.15478198468945 1.15478198468945 CD A52264 695 20 0.062500000000000 0.062500000000000 CD A52264 695 21         _SP A52264 695 22 1.07460782832131 1.07460782832131 CD A52264 695 23 0.031250000000000 0.031250000000000 CD A52264 695 24         _SP A52264 695 25 1.03663292843769 1.03663292843769 CD A52264 695 26 0.015625000000000 0.015625000000000 CD A52264 695 27         _SP A52264 695 28 1.01815172171818 1.01815172171818 CD A52264 695 29 0.007812500000000 0.007812500000000 CD A52264 695 30         _SP A52264 695 31 1.00903504484144 1.00903504484144 CD A52264 695 32 0.003906250000000 0.003906250000000 CD A52264 695 33         _SP A52264 695 34 1.00450736425446 1.00450736425446 CD A52264 695 35 0.001953125000000 0.001953125000000 CD A52264 695 36         _SP A52264 695 37 1.00225114829291 1.00225114829291 CD A52264 695 38 0.000976562500000 0.000976562500000 CD A52264 695 39         _SP A52264 695 40 1.00112494139987 1.00112494139987 CD A52264 695 41 0.000488281250000 0.000488281250000 CD A52264 695 42         _SP A52264 695 43 1.00056231260220 1.00056231260220 CD A52264 695 44 0.000244140625000 0.000244140625000 CD A52264 695 45         _SP A52264 695 46 1.00028111678778 1.00028111678778 CD A52264 695 47 0.000122070312500 0.000122070312500 CD A52264 695 48         _SP A52264 695 49 1.00014054851694 1.00014054851694 CD A52264 695 50 0.000061035156250 0.000061035156250 CD A52264 695 51         _SP A52264 695 52 1.00007027178941 1.00007027178941 CD A52264 695 53 0.000030517578125 0.000030517578125 CD A52264 695 54         _SP A52264 695 55 1.00003513527746 1.00003513527746 CD A52264 695 56 0.000015258789062 0.000015258789062 CD A52264 695 57         _SP A52264 695 58 1.00001756748442 1.00001756748442 CD A52264 695 59 0.000007629394531 0.000007629394531 CD A52264 695 60         _SP A52264 695 61 1.00000878270363 1.00000878270363 CD A52264 695 62 0.000003814697265 0.000003814697265 CD A52264 695 63         _SP A52264 695 64 1.00000439184217 1.00000439184217 CD A52264 695 65 0.000001907348632 0.000001907348632 CD A52264 695 66         _SP A52264 695 67 1.00000219591867 1.00000219591867 CD A52264 695 68 0.000000953674316 0.000000953674316 CD A52264 695 69         _SP A52264 695 70 1.00000109795873 1.00000109795873 CD A52264 695 71 0.000000476837158 0.000000476837158 CD A52264 695 72         _SP A52264 695 73 1.00000054897921 1.00000054897921 CD A52264 695 74 0.000000238418579 0.000000238418579 CD A52264 695 75         _SP A52264 695 76 1.00000027448957 1.00000027448957 CD A52264 695 77 0.000000119209289 0.000000119209289 CD A52264 695 78         _SP A52264 695 79 1.00000013724477 1.00000013724477 CD A52264 695 80 0.000000059604644 0.000000059604644 CD A52264 695 81     _SP A52264 695 82 G G NNP A52264 695 83 1.00000006862238 1.00000006862238 CD A52264 695 84 0.000000029802322 0.000000029802322 CD A52264 695 85 N n NN A52264 695 86 H h NN A52264 695 87 1.00000003431119 1.00000003431119 CD A52264 695 88 0.000000014901161 0.000000014901161 CD A52264 695 89 K k NN A52264 695 90 L L NNP A52264 695 91 1.00000001715559 1.00000001715559 CD A52264 695 92 0.000000007450580 0.000000007450580 CD A52264 695 93 M M NNP A52264 695 94 4 4 CD A52264 695 95 . . . A52264 696 1 § § ADD A52264 696 2 . . . A52264 697 1 These these DT A52264 697 2 things thing NNS A52264 697 3 being be VBG A52264 697 4 thus thus RB A52264 697 5 cleared clear VBN A52264 697 6 , , , A52264 697 7 it -PRON- PRP A52264 697 8 is be VBZ A52264 697 9 manifest manif JJS A52264 697 10 , , , A52264 697 11 that that IN A52264 697 12 a a DT A52264 697 13 number number NN A52264 697 14 of of IN A52264 697 15 this this DT A52264 697 16 kinde kinde NNP A52264 697 17 being be VBG A52264 697 18 given give VBN A52264 697 19 , , , A52264 697 20 the the DT A52264 697 21 Logarithme Logarithme NNP A52264 697 22 thereof thereof RB A52264 697 23 may may MD A52264 697 24 be be VB A52264 697 25 found find VBN A52264 697 26 by by IN A52264 697 27 the the DT A52264 697 28 Rule Rule NNP A52264 697 29 of of IN A52264 697 30 three three CD A52264 697 31 direct direct NN A52264 697 32 . . . A52264 698 1 For for IN A52264 698 2 as as IN A52264 698 3 the the DT A52264 698 4 significant significant JJ A52264 698 5 figures figure NNS A52264 698 6 of of IN A52264 698 7 the the DT A52264 698 8 numerator numerator NN A52264 698 9 of of IN A52264 698 10 any any DT A52264 698 11 one one CD A52264 698 12 of of IN A52264 698 13 the the DT A52264 698 14 numbers number NNS A52264 698 15 ( ( -LRB- A52264 698 16 signed sign VBN A52264 698 17 in in IN A52264 698 18 the the DT A52264 698 19 first first JJ A52264 698 20 column column NN A52264 698 21 of of IN A52264 698 22 the the DT A52264 698 23 last last JJ A52264 698 24 Table table NN A52264 698 25 by by IN A52264 698 26 the the DT A52264 698 27 letters letter NNS A52264 698 28 G g NN A52264 698 29 , , , A52264 698 30 H h NN A52264 698 31 , , , A52264 698 32 or or CC A52264 698 33 L l NN A52264 698 34 ) ) -RRB- A52264 698 35 are be VBP A52264 698 36 to to IN A52264 698 37 his -PRON- PRP$ A52264 698 38 respective respective JJ A52264 698 39 Logarithme Logarithme NNP A52264 698 40 : : : A52264 698 41 so so RB A52264 698 42 are be VBP A52264 698 43 the the DT A52264 698 44 significant significant JJ A52264 698 45 figure figure NN A52264 698 46 of of IN A52264 698 47 the the DT A52264 698 48 numerator numerator NN A52264 698 49 of of IN A52264 698 50 the the DT A52264 698 51 number number NN A52264 698 52 given give VBN A52264 698 53 , , , A52264 698 54 to to IN A52264 698 55 the the DT A52264 698 56 Logarithme Logarithme NNP A52264 698 57 of of IN A52264 698 58 the the DT A52264 698 59 same same JJ A52264 698 60 number number NN A52264 698 61 . . . A52264 699 1 Example example NN A52264 699 2 . . . A52264 700 1 The the DT A52264 700 2 number number NN A52264 700 3 1.00000001021301 1.00000001021301 CD A52264 700 4 being be VBG A52264 700 5 given give VBN A52264 700 6 , , , A52264 700 7 I -PRON- PRP A52264 700 8 demand demand VBP A52264 700 9 the the DT A52264 700 10 Logarithme Logarithme NNP A52264 700 11 thereof thereof RB A52264 700 12 : : : A52264 700 13 I -PRON- PRP A52264 700 14 say say VBP A52264 700 15 then then RB A52264 700 16 , , , A52264 700 17 As as IN A52264 700 18 6862238 6862238 CD A52264 700 19 , , , A52264 700 20 the the DT A52264 700 21 significant significant JJ A52264 700 22 figures figure NNS A52264 700 23 of of IN A52264 700 24 the the DT A52264 700 25 numerator numerator NN A52264 700 26 of of IN A52264 700 27 the the DT A52264 700 28 number number NN A52264 700 29 G g NN A52264 700 30 , , , A52264 700 31 are be VBP A52264 700 32 to to IN A52264 700 33 29802322 29802322 CD A52264 700 34 , , , A52264 700 35 the the DT A52264 700 36 logarithme logarithme NNS A52264 700 37 of of IN A52264 700 38 the the DT A52264 700 39 same same JJ A52264 700 40 number number NN A52264 700 41 G g NN A52264 700 42 : : : A52264 700 43 so so RB A52264 700 44 are be VBP A52264 700 45 1021301 1021301 CD A52264 700 46 , , , A52264 700 47 the the DT A52264 700 48 significant significant JJ A52264 700 49 figures figure NNS A52264 700 50 of of IN A52264 700 51 the the DT A52264 700 52 numerator numerator NN A52264 700 53 of of IN A52264 700 54 the the DT A52264 700 55 number number NN A52264 700 56 given give VBN A52264 700 57 , , , A52264 700 58 to to IN A52264 700 59 4357281 4357281 CD A52264 700 60 , , , A52264 700 61 the the DT A52264 700 62 Logarithme Logarithme NNP A52264 700 63 sought seek VBD A52264 700 64 ; ; : A52264 700 65 before before IN A52264 700 66 which which WDT A52264 700 67 if if IN A52264 700 68 you -PRON- PRP A52264 700 69 prefix prefix VBP A52264 700 70 9 9 CD A52264 700 71 ciphers cipher NNS A52264 700 72 , , , A52264 700 73 to to IN A52264 700 74 the the DT A52264 700 75 intent intent NN A52264 700 76 it -PRON- PRP A52264 700 77 may may MD A52264 700 78 have have VB A52264 700 79 as as RB A52264 700 80 many many JJ A52264 700 81 places place NNS A52264 700 82 as as IN A52264 700 83 the the DT A52264 700 84 Logarithme Logarithme NNP A52264 700 85 in in IN A52264 700 86 the the DT A52264 700 87 last last JJ A52264 700 88 premised premised JJ A52264 700 89 Table table NN A52264 700 90 , , , A52264 700 91 ( ( -LRB- A52264 700 92 viz viz NN A52264 700 93 . . . A52264 701 1 16 16 LS A52264 701 2 ) ) -RRB- A52264 701 3 the the DT A52264 701 4 true true JJ A52264 701 5 and and CC A52264 701 6 entire entire JJ A52264 701 7 Logarithme Logarithme NNP A52264 701 8 of of IN A52264 701 9 1 1 CD A52264 701 10 . . . A52264 702 1 00000001021301 00000001021301 CD A52264 702 2 , , , A52264 702 3 the the DT A52264 702 4 number number NN A52264 702 5 given give VBN A52264 702 6 is be VBZ A52264 702 7 0 0 CD A52264 702 8 . . . A52264 703 1 000000004357281 000000004357281 CD A52264 703 2 , , , A52264 703 3 as as IN A52264 703 4 before before RB A52264 703 5 . . . A52264 704 1 And and CC A52264 704 2 to to IN A52264 704 3 every every DT A52264 704 4 Logarithme Logarithme NNP A52264 704 5 thus thus RB A52264 704 6 found find VBD A52264 704 7 , , , A52264 704 8 you -PRON- PRP A52264 704 9 must must MD A52264 704 10 prefix prefix VB A52264 704 11 as as RB A52264 704 12 many many JJ A52264 704 13 ciphers cipher NNS A52264 704 14 as as IN A52264 704 15 will will MD A52264 704 16 make make VB A52264 704 17 the the DT A52264 704 18 said say VBN A52264 704 19 Logarithme Logarithme NNP A52264 704 20 to to TO A52264 704 21 have have VB A52264 704 22 as as RB A52264 704 23 many many JJ A52264 704 24 places place NNS A52264 704 25 as as IN A52264 704 26 the the DT A52264 704 27 other other JJ A52264 704 28 Logarithmes logarithme NNS A52264 704 29 in in IN A52264 704 30 the the DT A52264 704 31 same same JJ A52264 704 32 table table NN A52264 704 33 : : : A52264 704 34 for for IN A52264 704 35 though though IN A52264 704 36 you -PRON- PRP A52264 704 37 make make VBP A52264 704 38 your -PRON- PRP$ A52264 704 39 Table table NN A52264 704 40 of of IN A52264 704 41 Logarithmes logarithme NNS A52264 704 42 to to TO A52264 704 43 consist consist VB A52264 704 44 of of IN A52264 704 45 as as RB A52264 704 46 many many JJ A52264 704 47 places place NNS A52264 704 48 as as IN A52264 704 49 you -PRON- PRP A52264 704 50 please please VBP A52264 704 51 , , , A52264 704 52 yet yet CC A52264 704 53 when when WRB A52264 704 54 you -PRON- PRP A52264 704 55 are be VBP A52264 704 56 once once RB A52264 704 57 resolved resolve VBN A52264 704 58 of of IN A52264 704 59 how how WRB A52264 704 60 many many JJ A52264 704 61 places place NNS A52264 704 62 the the DT A52264 704 63 Logarithmes logarithme NNS A52264 704 64 of of IN A52264 704 65 your -PRON- PRP$ A52264 704 66 Table table NN A52264 704 67 shall shall MD A52264 704 68 consist consist VB A52264 704 69 , , , A52264 704 70 you -PRON- PRP A52264 704 71 must must MD A52264 704 72 not not RB A52264 704 73 alter alter VB A52264 704 74 your -PRON- PRP$ A52264 704 75 first first JJ A52264 704 76 resolution resolution NN A52264 704 77 , , , A52264 704 78 as as IN A52264 704 79 to to TO A52264 704 80 make make VB A52264 704 81 the the DT A52264 704 82 Logarithme Logarithme NNP A52264 704 83 of of IN A52264 704 84 2 2 CD A52264 704 85 to to TO A52264 704 86 consist consist VB A52264 704 87 of of IN A52264 704 88 six six CD A52264 704 89 places place NNS A52264 704 90 , , , A52264 704 91 and and CC A52264 704 92 the the DT A52264 704 93 Logarithme Logarithme NNP A52264 704 94 of of IN A52264 704 95 16 16 CD A52264 704 96 to to TO A52264 704 97 have have VB A52264 704 98 seven seven CD A52264 704 99 , , , A52264 704 100 but but CC A52264 704 101 if if IN A52264 704 102 the the DT A52264 704 103 significant significant JJ A52264 704 104 figures figure NNS A52264 704 105 of of IN A52264 704 106 the the DT A52264 704 107 numerator numerator NN A52264 704 108 of of IN A52264 704 109 the the DT A52264 704 110 Logarithme Logarithme NNP A52264 704 111 of of IN A52264 704 112 2 2 CD A52264 704 113 have have VBP A52264 704 114 not not RB A52264 704 115 so so RB A52264 704 116 many many JJ A52264 704 117 places place NNS A52264 704 118 as as IN A52264 704 119 the the DT A52264 704 120 significant significant JJ A52264 704 121 figures figure NNS A52264 704 122 of of IN A52264 704 123 the the DT A52264 704 124 Logarithme Logarithme NNP A52264 704 125 of of IN A52264 704 126 16 16 CD A52264 704 127 , , , A52264 704 128 you -PRON- PRP A52264 704 129 must must MD A52264 704 130 prefix prefix VB A52264 704 131 a a DT A52264 704 132 cipher cipher NN A52264 704 133 or or CC A52264 704 134 ciphers cipher NNS A52264 704 135 to to TO A52264 704 136 make make VB A52264 704 137 them -PRON- PRP A52264 704 138 equal equal JJ A52264 704 139 ; ; : A52264 704 140 because because IN A52264 704 141 ( ( -LRB- A52264 704 142 as as IN A52264 704 143 hath hath NNP A52264 704 144 been be VBN A52264 704 145 said say VBN A52264 704 146 , , , A52264 704 147 the the DT A52264 704 148 Logarithmes logarithme NNS A52264 704 149 of of IN A52264 704 150 this this DT A52264 704 151 kinde kinde NNP A52264 704 152 ought ought MD A52264 704 153 all all DT A52264 704 154 to to TO A52264 704 155 consist consist VB A52264 704 156 of of IN A52264 704 157 equal equal JJ A52264 704 158 places place NNS A52264 704 159 in in IN A52264 704 160 the the DT A52264 704 161 same same JJ A52264 704 162 Table table NN A52264 704 163 . . . A52264 705 1 5 5 CD A52264 705 2 . . . A52264 706 1 § § ADD A52264 706 2 . . . A52264 707 1 Now now RB A52264 707 2 then then RB A52264 707 3 to to TO A52264 707 4 finde finde VB A52264 707 5 the the DT A52264 707 6 Logarithme Logarithme NNP A52264 707 7 of of IN A52264 707 8 any any DT A52264 707 9 number number NN A52264 707 10 whatsoever whatsoever RB A52264 707 11 , , , A52264 707 12 you -PRON- PRP A52264 707 13 are be VBP A52264 707 14 first first JJ A52264 707 15 to to TO A52264 707 16 search search VB A52264 707 17 out out RP A52264 707 18 so so RB A52264 707 19 many many JJ A52264 707 20 continual continual JJ A52264 707 21 means mean NNS A52264 707 22 betwixt betwixt VBP A52264 707 23 the the DT A52264 707 24 same same JJ A52264 707 25 number number NN A52264 707 26 and and CC A52264 707 27 1 1 CD A52264 707 28 , , , A52264 707 29 till till IN A52264 707 30 the the DT A52264 707 31 continual continual JJ A52264 707 32 mean mean NN A52264 707 33 that that DT A52264 707 34 cometh cometh NNP A52264 707 35 neerest neer JJS A52264 707 36 1 1 CD A52264 707 37 hath hath NN A52264 707 38 as as RB A52264 707 39 many many JJ A52264 707 40 ciphers cipher NNS A52264 707 41 placed place VBN A52264 707 42 before before IN A52264 707 43 the the DT A52264 707 44 significant significant JJ A52264 707 45 figures figure NNS A52264 707 46 of of IN A52264 707 47 his -PRON- PRP$ A52264 707 48 numerator numerator NN A52264 707 49 , , , A52264 707 50 as as IN A52264 707 51 you -PRON- PRP A52264 707 52 intend intend VBP A52264 707 53 the the DT A52264 707 54 Logarithmes logarithme NNS A52264 707 55 of of IN A52264 707 56 your -PRON- PRP$ A52264 707 57 Table table NN A52264 707 58 shall shall MD A52264 707 59 consist consist VB A52264 707 60 of of IN A52264 707 61 places place NNS A52264 707 62 ; ; : A52264 707 63 Again again RB A52264 707 64 , , , A52264 707 65 this this DT A52264 707 66 being be VBG A52264 707 67 done do VBN A52264 707 68 , , , A52264 707 69 you -PRON- PRP A52264 707 70 are be VBP A52264 707 71 to to TO A52264 707 72 finde finde VB A52264 707 73 the the DT A52264 707 74 Logarithme Logarithme NNP A52264 707 75 of of IN A52264 707 76 that that DT A52264 707 77 continual continual JJ A52264 707 78 mean mean NN A52264 707 79 : : : A52264 707 80 And and CC A52264 707 81 lastly lastly RB A52264 707 82 , , , A52264 707 83 by by IN A52264 707 84 often often RB A52264 707 85 doubling double VBG A52264 707 86 and and CC A52264 707 87 redoubling redoubling NN A52264 707 88 of of IN A52264 707 89 that that DT A52264 707 90 Logarithme Logarithme NNP A52264 707 91 so so RB A52264 707 92 found find VBD A52264 707 93 ( ( -LRB- A52264 707 94 according accord VBG A52264 707 95 to to IN A52264 707 96 the the DT A52264 707 97 number number NN A52264 707 98 of of IN A52264 707 99 the the DT A52264 707 100 continual continual JJ A52264 707 101 meanes meane NNS A52264 707 102 produced produce VBN A52264 707 103 ) ) -RRB- A52264 707 104 in in IN A52264 707 105 conclusion conclusion NN A52264 707 106 you -PRON- PRP A52264 707 107 shall shall MD A52264 707 108 fall fall VB A52264 707 109 upon upon IN A52264 707 110 the the DT A52264 707 111 Logarithme Logarithme NNP A52264 707 112 of of IN A52264 707 113 the the DT A52264 707 114 number number NN A52264 707 115 given give VBN A52264 707 116 . . . A52264 708 1 Example example NN A52264 708 2 . . . A52264 709 1 the the DT A52264 709 2 number number NN A52264 709 3 2 2 CD A52264 709 4 being be VBG A52264 709 5 given give VBN A52264 709 6 , , , A52264 709 7 I -PRON- PRP A52264 709 8 demand demand VBP A52264 709 9 the the DT A52264 709 10 Logarithme Logarithme NNP A52264 709 11 thereof thereof RB A52264 709 12 to to IN A52264 709 13 seven seven CD A52264 709 14 places place NNS A52264 709 15 : : : A52264 709 16 Here here RB A52264 709 17 first first RB A52264 709 18 in in IN A52264 709 19 imitation imitation NN A52264 709 20 of of IN A52264 709 21 that that DT A52264 709 22 which which WDT A52264 709 23 is be VBZ A52264 709 24 before before RB A52264 709 25 taught teach VBN A52264 709 26 in in IN A52264 709 27 the the DT A52264 709 28 first first JJ A52264 709 29 rule rule NN A52264 709 30 of of IN A52264 709 31 this this DT A52264 709 32 Chapter chapter NN A52264 709 33 , , , A52264 709 34 I -PRON- PRP A52264 709 35 produce produce VBP A52264 709 36 so so RB A52264 709 37 many many JJ A52264 709 38 continual continual JJ A52264 709 39 meanes meane NNS A52264 709 40 between between IN A52264 709 41 2 2 CD A52264 709 42 and and CC A52264 709 43 1 1 CD A52264 709 44 , , , A52264 709 45 till till IN A52264 709 46 that that DT A52264 709 47 which which WDT A52264 709 48 cometh cometh JJ A52264 709 49 nearest near JJS A52264 709 50 1 1 CD A52264 709 51 hath hath NN A52264 709 52 seven seven CD A52264 709 53 ciphers cipher NNS A52264 709 54 before before IN A52264 709 55 the the DT A52264 709 56 significant significant JJ A52264 709 57 figures figure NNS A52264 709 58 of of IN A52264 709 59 the the DT A52264 709 60 numerator numerator NN A52264 709 61 , , , A52264 709 62 which which WDT A52264 709 63 after after IN A52264 709 64 three three CD A52264 709 65 and and CC A52264 709 66 twenty twenty CD A52264 709 67 continued continue VBN A52264 709 68 extractions extraction NNS A52264 709 69 , , , A52264 709 70 I -PRON- PRP A52264 709 71 finde finde VBP A52264 709 72 to to TO A52264 709 73 be be VB A52264 709 74 1.00000008262958 1.00000008262958 CD A52264 709 75 This this DT A52264 709 76 continual continual JJ A52264 709 77 mean mean NN A52264 709 78 being be VBG A52264 709 79 thus thus RB A52264 709 80 found find VBN A52264 709 81 ( ( -LRB- A52264 709 82 by by IN A52264 709 83 the the DT A52264 709 84 direction direction NN A52264 709 85 of of IN A52264 709 86 the the DT A52264 709 87 last last JJ A52264 709 88 rule rule NN A52264 709 89 aforegoing aforegoe VBG A52264 709 90 ) ) -RRB- A52264 709 91 I -PRON- PRP A52264 709 92 finde finde VBP A52264 709 93 the the DT A52264 709 94 Logarithme Logarithme NNP A52264 709 95 thereof thereof RB A52264 709 96 to to TO A52264 709 97 be be VB A52264 709 98 0.000000035885571 0.000000035885571 CD A52264 709 99 . . . A52264 710 1 for for IN A52264 710 2 , , , A52264 710 3 As as IN A52264 710 4 6862238 6862238 CD A52264 710 5 , , , A52264 710 6 is be VBZ A52264 710 7 to to TO A52264 710 8 29802322 29802322 CD A52264 710 9 : : : A52264 710 10 So so CC A52264 710 11 8262958 8262958 CD A52264 710 12 , , , A52264 710 13 is be VBZ A52264 710 14 to to IN A52264 710 15 35885571 35885571 CD A52264 710 16 . . . A52264 711 1 This this DT A52264 711 2 Logarithme Logarithme NNP A52264 711 3 being be VBG A52264 711 4 doubled double VBD A52264 711 5 will will MD A52264 711 6 produce produce VB A52264 711 7 the the DT A52264 711 8 Logarithme Logarithme NNP A52264 711 9 of of IN A52264 711 10 the the DT A52264 711 11 continual continual JJ A52264 711 12 mean mean NN A52264 711 13 next next RB A52264 711 14 above above IN A52264 711 15 1.00000008262958 1.00000008262958 CD A52264 711 16 , , , A52264 711 17 and and CC A52264 711 18 so so RB A52264 711 19 by by IN A52264 711 20 doubling double VBG A52264 711 21 successively successively RB A52264 711 22 the the DT A52264 711 23 Logarithme Logarithme NNP A52264 711 24 of of IN A52264 711 25 each each DT A52264 711 26 continual continual JJ A52264 711 27 mean mean NN A52264 711 28 one one CD A52264 711 29 after after IN A52264 711 30 another another DT A52264 711 31 , , , A52264 711 32 according accord VBG A52264 711 33 to to IN A52264 711 34 the the DT A52264 711 35 number number NN A52264 711 36 of of IN A52264 711 37 the the DT A52264 711 38 extractions extraction NNS A52264 711 39 ( ( -LRB- A52264 711 40 viz viz NN A52264 711 41 . . . A52264 712 1 three three CD A52264 712 2 and and CC A52264 712 3 twenty twenty CD A52264 712 4 times time NNS A52264 712 5 in in IN A52264 712 6 all all DT A52264 712 7 ) ) -RRB- A52264 712 8 at at IN A52264 712 9 last last RB A52264 712 10 you -PRON- PRP A52264 712 11 shall shall MD A52264 712 12 happen happen VB A52264 712 13 upon upon IN A52264 712 14 the the DT A52264 712 15 Logarithme Logarithme NNP A52264 712 16 0.301029987975168 0.301029987975168 CD A52264 712 17 , , , A52264 712 18 which which WDT A52264 712 19 is be VBZ A52264 712 20 the the DT A52264 712 21 Logarithme Logarithme NNP A52264 712 22 of of IN A52264 712 23 2 2 CD A52264 712 24 the the DT A52264 712 25 number number NN A52264 712 26 propounded propound VBN A52264 712 27 : : : A52264 712 28 The the DT A52264 712 29 whole whole JJ A52264 712 30 frame frame NN A52264 712 31 of of IN A52264 712 32 the the DT A52264 712 33 work work NN A52264 712 34 is be VBZ A52264 712 35 plainly plainly RB A52264 712 36 set set VBN A52264 712 37 down down RP A52264 712 38 in in IN A52264 712 39 the the DT A52264 712 40 table table NN A52264 712 41 following follow VBG A52264 712 42 ; ; : A52264 712 43 for for IN A52264 712 44 in in IN A52264 712 45 the the DT A52264 712 46 first first JJ A52264 712 47 column column NN A52264 712 48 thereof thereof IN A52264 712 49 you -PRON- PRP A52264 712 50 have have VBP A52264 712 51 23 23 CD A52264 712 52 continual continual JJ A52264 712 53 meanes meane NNS A52264 712 54 betwixt betwixt NNP A52264 712 55 2 2 CD A52264 712 56 and and CC A52264 712 57 1 1 CD A52264 712 58 , , , A52264 712 59 and and CC A52264 712 60 in in IN A52264 712 61 the the DT A52264 712 62 other other JJ A52264 712 63 column column NN A52264 712 64 their -PRON- PRP$ A52264 712 65 respective respective JJ A52264 712 66 Logarithmes logarithme NNS A52264 712 67 , , , A52264 712 68 found find VBN A52264 712 69 by by IN A52264 712 70 a a DT A52264 712 71 continual continual JJ A52264 712 72 doubling doubling NN A52264 712 73 and and CC A52264 712 74 redoubling redoubling NN A52264 712 75 of of IN A52264 712 76 0.000000035885571 0.000000035885571 CD A52264 712 77 , , , A52264 712 78 the the DT A52264 712 79 Logarithme Logarithme NNP A52264 712 80 of of IN A52264 712 81 the the DT A52264 712 82 last last JJ A52264 712 83 continual continual JJ A52264 712 84 mean mean NN A52264 712 85 in in IN A52264 712 86 the the DT A52264 712 87 table table NN A52264 712 88 . . . A52264 713 1 2.0000 2.0000 CD A52264 713 2 , , , A52264 713 3 & & CC A52264 713 4 c. c. NNP A52264 713 5 0 0 CD A52264 713 6 301029987975168 301029987975168 CD A52264 713 7 1.41421356237309 1.41421356237309 CD A52264 713 8 0.150514993987584 0.150514993987584 CD A52264 713 9 1.18920711500272 1.18920711500272 CD A52264 713 10 0.075257496993792 0.075257496993792 CD A52264 713 11 1.19050713266525 1.19050713266525 CD A52264 713 12 0.037628748496896 0.037628748496896 CD A52264 713 13 1.04427378243220 1.04427378243220 CD A52264 713 14 0.018814374248448 0.018814374248448 CD A52264 713 15 1.02189714865645 1.02189714865645 CD A52264 713 16 0 0 CD A52264 713 17 009407187124224 009407187124224 CD A52264 713 18 1.01088928605285 1.01088928605285 CD A52264 713 19 0.004703593562112 0.004703593562112 CD A52264 713 20 1.00542990111387 1.00542990111387 CD A52264 713 21 0.002351796781056 0.002351796781056 CD A52264 713 22 1.00271127505073 1.00271127505073 CD A52264 713 23 0.001175898390528 0.001175898390528 CD A52264 713 24 1.00135471989237 1.00135471989237 CD A52264 713 25 0.000587949195264 0.000587949195264 CD A52264 713 26 1.00067713069319 1.00067713069319 CD A52264 713 27 0.000293974597632 0.000293974597632 CD A52264 713 28 1.00033850805274 1.00033850805274 CD A52264 713 29 0.000146987298816 0.000146987298816 CD A52264 713 30 1.00016923970533 1.00016923970533 CD A52264 713 31 0.000073493649408 0.000073493649408 CD A52264 713 32 1.00008461627271 1.00008461627271 CD A52264 713 33 0.000036746824704 0.000036746824704 CD A52264 713 34 1.00004230724140 1.00004230724140 CD A52264 713 35 0.000018373412352 0.000018373412352 CD A52264 713 36 1.00002115339696 1.00002115339696 CD A52264 713 37 0.000009186706176 0.000009186706176 CD A52264 713 38 1.00001057664255 1.00001057664255 CD A52264 713 39 0.000004593353088 0.000004593353088 CD A52264 713 40 1.00000528830729 1.00000528830729 CD A52264 713 41 0.000002296676544 0.000002296676544 CD A52264 713 42 1.00000264415015 1.00000264415015 CD A52264 713 43 0.000001148338272 0.000001148338272 CD A52264 713 44 1.00000132207420 1.00000132207420 CD A52264 713 45 0.000000574169136 0.000000574169136 CD A52264 713 46 1.00000066103688 1.00000066103688 CD A52264 713 47 0.000000287084568 0.000000287084568 CD A52264 713 48 1.00000033051838 1.00000033051838 CD A52264 713 49 0.000000143542284 0.000000143542284 CD A52264 713 50 1.00000016525917 1.00000016525917 CD A52264 713 51 0.000000071771142 0.000000071771142 CD A52264 713 52 1.00000008262958 1.00000008262958 CD A52264 713 53 0.000000035885571 0.000000035885571 CD A52264 713 54 But but CC A52264 713 55 now now RB A52264 713 56 because because IN A52264 713 57 the the DT A52264 713 58 Logarithme Logarithme NNP A52264 713 59 of of IN A52264 713 60 the the DT A52264 713 61 number number NN A52264 713 62 propounded propound VBN A52264 713 63 was be VBD A52264 713 64 to to IN A52264 713 65 con con XX A52264 713 66 ● ● NFP A52264 713 67 ist ist NN A52264 713 68 onely onely RB A52264 713 69 of of IN A52264 713 70 seven seven CD A52264 713 71 places place NNS A52264 713 72 ; ; : A52264 713 73 therefore therefore RB A52264 713 74 of of IN A52264 713 75 the the DT A52264 713 76 Logarithme Logarithme NNP A52264 713 77 so so RB A52264 713 78 found find VBD A52264 713 79 I -PRON- PRP A52264 713 80 take take VBP A52264 713 81 onely onely RB A52264 713 82 the the DT A52264 713 83 first first JJ A52264 713 84 seven seven CD A52264 713 85 figures figure NNS A52264 713 86 rejecting reject VBG A52264 713 87 the the DT A52264 713 88 rest rest NN A52264 713 89 as as IN A52264 713 90 superfluous superfluous JJ A52264 713 91 , , , A52264 713 92 and and CC A52264 713 93 then then RB A52264 713 94 at at IN A52264 713 95 the the DT A52264 713 96 last last JJ A52264 713 97 the the DT A52264 713 98 proper proper JJ A52264 713 99 Logarithme Logarithme NNP A52264 713 100 of of IN A52264 713 101 2 2 CD A52264 713 102 , , , A52264 713 103 the the DT A52264 713 104 number number NN A52264 713 105 given give VBN A52264 713 106 will will MD A52264 713 107 be be VB A52264 713 108 found find VBN A52264 713 109 to to TO A52264 713 110 be be VB A52264 713 111 0.301029 0.301029 CD A52264 713 112 , , , A52264 713 113 and and CC A52264 713 114 because because IN A52264 713 115 the the DT A52264 713 116 eighth eighth JJ A52264 713 117 figure figure NN A52264 713 118 being be VBG A52264 713 119 9 9 CD A52264 713 120 , , , A52264 713 121 doth doth JJ A52264 713 122 almost almost RB A52264 713 123 carry carry VBP A52264 713 124 the the DT A52264 713 125 value value NN A52264 713 126 of of IN A52264 713 127 an an DT A52264 713 128 unit unit NN A52264 713 129 to to IN A52264 713 130 the the DT A52264 713 131 same same JJ A52264 713 132 seventh seventh JJ A52264 713 133 figure figure NN A52264 713 134 , , , A52264 713 135 I -PRON- PRP A52264 713 136 adde adde VBP A52264 713 137 one one CD A52264 713 138 thereto thereto NN A52264 713 139 , , , A52264 713 140 and and CC A52264 713 141 then then RB A52264 713 142 the the DT A52264 713 143 precise precise JJ A52264 713 144 Logarithme Logarithme NNP A52264 713 145 of of IN A52264 713 146 2 2 CD A52264 713 147 will will MD A52264 713 148 be be VB A52264 713 149 0.301030 0.301030 CD A52264 713 150 . . . A52264 714 1 And and CC A52264 714 2 thus thus RB A52264 714 3 as as IN A52264 714 4 the the DT A52264 714 5 Logarithme Logarithme NNP A52264 714 6 of of IN A52264 714 7 2 2 CD A52264 714 8 is be VBZ A52264 714 9 made make VBN A52264 714 10 , , , A52264 714 11 so so RB A52264 714 12 may may MD A52264 714 13 you -PRON- PRP A52264 714 14 likewise likewise RB A52264 714 15 make make VB A52264 714 16 the the DT A52264 714 17 Logarithme Logarithme NNP A52264 714 18 of of IN A52264 714 19 any any DT A52264 714 20 other other JJ A52264 714 21 number number NN A52264 714 22 whatsoever whatsoever RB A52264 714 23 : : : A52264 714 24 Howbeit howbeit UH A52264 714 25 , , , A52264 714 26 the the DT A52264 714 27 Logarithmes logarithme NNS A52264 714 28 of of IN A52264 714 29 some some DT A52264 714 30 few few JJ A52264 714 31 of of IN A52264 714 32 the the DT A52264 714 33 prime prime JJ A52264 714 34 numbers number NNS A52264 714 35 being be VBG A52264 714 36 thus thus RB A52264 714 37 discovered discover VBN A52264 714 38 , , , A52264 714 39 the the DT A52264 714 40 Logarithmes logarithme NNS A52264 714 41 of of IN A52264 714 42 many many JJ A52264 714 43 other other JJ A52264 714 44 derivative derivative JJ A52264 714 45 numbers number NNS A52264 714 46 may may MD A52264 714 47 be be VB A52264 714 48 found find VBN A52264 714 49 out out RP A52264 714 50 afterwards afterwards RB A52264 714 51 without without IN A52264 714 52 the the DT A52264 714 53 trouble trouble NN A52264 714 54 of of IN A52264 714 55 so so RB A52264 714 56 many many JJ A52264 714 57 continued continue VBN A52264 714 58 extractions extraction NNS A52264 714 59 of of IN A52264 714 60 the the DT A52264 714 61 square square JJ A52264 714 62 root root NN A52264 714 63 , , , A52264 714 64 as as IN A52264 714 65 shall shall MD A52264 714 66 appear appear VB A52264 714 67 by by IN A52264 714 68 that that DT A52264 714 69 which which WDT A52264 714 70 followes follow VBZ A52264 714 71 . . . A52264 715 1 6 6 CD A52264 715 2 . . . A52264 716 1 § § ADD A52264 716 2 . . . A52264 717 1 When when WRB A52264 717 2 of of IN A52264 717 3 four four CD A52264 717 4 numbers number NNS A52264 717 5 given give VBN A52264 717 6 , , , A52264 717 7 the the DT A52264 717 8 second second JJ A52264 717 9 exceeds exceed VBZ A52264 717 10 the the DT A52264 717 11 first first JJ A52264 717 12 as as RB A52264 717 13 much much RB A52264 717 14 as as IN A52264 717 15 the the DT A52264 717 16 fourth fourth JJ A52264 717 17 exceeds exceed VBZ A52264 717 18 the the DT A52264 717 19 third third JJ A52264 717 20 ; ; : A52264 717 21 the the DT A52264 717 22 summe summe NN A52264 717 23 of of IN A52264 717 24 the the DT A52264 717 25 first first JJ A52264 717 26 and and CC A52264 717 27 fourth fourth JJ A52264 717 28 is be VBZ A52264 717 29 equal equal JJ A52264 717 30 to to IN A52264 717 31 the the DT A52264 717 32 summe summe NN A52264 717 33 of of IN A52264 717 34 the the DT A52264 717 35 second second JJ A52264 717 36 and and CC A52264 717 37 third third JJ A52264 717 38 ; ; : A52264 717 39 and and CC A52264 717 40 contrarily contrarily RB A52264 717 41 . . . A52264 718 1 As as IN A52264 718 2 8 8 CD A52264 718 3 , , , A52264 718 4 5 5 CD A52264 718 5 : : SYM A52264 718 6 6 6 CD A52264 718 7 , , , A52264 718 8 3 3 CD A52264 718 9 . . . A52264 718 10 here here RB A52264 718 11 8 8 CD A52264 718 12 exceeds exceed VBZ A52264 718 13 5 5 CD A52264 718 14 , , , A52264 718 15 as as RB A52264 718 16 much much JJ A52264 718 17 as as IN A52264 718 18 6 6 CD A52264 718 19 exceeds exceed VBZ A52264 718 20 3 3 CD A52264 718 21 : : : A52264 718 22 therefore therefore RB A52264 718 23 the the DT A52264 718 24 summe summe NN A52264 718 25 of of IN A52264 718 26 the the DT A52264 718 27 first first JJ A52264 718 28 and and CC A52264 718 29 fourth fourth JJ A52264 718 30 , , , A52264 718 31 namely namely RB A52264 718 32 , , , A52264 718 33 of of IN A52264 718 34 8 8 CD A52264 718 35 and and CC A52264 718 36 3 3 CD A52264 718 37 is be VBZ A52264 718 38 equall equall JJ A52264 718 39 to to IN A52264 718 40 the the DT A52264 718 41 summe summe NN A52264 718 42 of of IN A52264 718 43 the the DT A52264 718 44 second second JJ A52264 718 45 and and CC A52264 718 46 third third JJ A52264 718 47 ; ; : A52264 718 48 namely namely RB A52264 718 49 of of IN A52264 718 50 5 5 CD A52264 718 51 and and CC A52264 718 52 6 6 CD A52264 718 53 : : : A52264 718 54 from from IN A52264 718 55 whence whence NN A52264 718 56 necessarily necessarily RB A52264 718 57 followes followes VBP A52264 718 58 this this DT A52264 718 59 Corollary Corollary NNP A52264 718 60 ; ; : A52264 718 61 When when WRB A52264 718 62 four four CD A52264 718 63 numbers number NNS A52264 718 64 are be VBP A52264 718 65 proportionall proportionall JJ A52264 718 66 , , , A52264 718 67 the the DT A52264 718 68 summe summe NN A52264 718 69 of of IN A52264 718 70 the the DT A52264 718 71 Logarithmes logarithme NNS A52264 718 72 of of IN A52264 718 73 the the DT A52264 718 74 mean mean JJ A52264 718 75 numbers number NNS A52264 718 76 is be VBZ A52264 718 77 equal equal JJ A52264 718 78 to to IN A52264 718 79 the the DT A52264 718 80 summe summe NN A52264 718 81 of of IN A52264 718 82 the the DT A52264 718 83 Logarithmes logarithme NNS A52264 718 84 of of IN A52264 718 85 the the DT A52264 718 86 extreams extream NNS A52264 718 87 . . . A52264 719 1 Example example NN A52264 719 2 . . . A52264 720 1 Let let VB A52264 720 2 the the DT A52264 720 3 four four CD A52264 720 4 proportional proportional JJ A52264 720 5 numbers number NNS A52264 720 6 be be VB A52264 720 7 those those DT A52264 720 8 exprest expr JJS A52264 720 9 in in IN A52264 720 10 the the DT A52264 720 11 first first JJ A52264 720 12 column column NN A52264 720 13 of of IN A52264 720 14 the the DT A52264 720 15 first first JJ A52264 720 16 Table table NN A52264 720 17 in in IN A52264 720 18 this this DT A52264 720 19 Chapter chapter NN A52264 720 20 , , , A52264 720 21 viz viz NN A52264 720 22 . . . A52264 721 1 4 4 CD A52264 721 2 , , , A52264 721 3 16 16 CD A52264 721 4 , , , A52264 721 5 32 32 CD A52264 721 6 , , , A52264 721 7 128 128 CD A52264 721 8 , , , A52264 721 9 in in IN A52264 721 10 which which WDT A52264 721 11 Table table NN A52264 721 12 the the DT A52264 721 13 Logarithme Logarithme NNP A52264 721 14 of of IN A52264 721 15 4 4 CD A52264 721 16 under under IN A52264 721 17 the the DT A52264 721 18 letter letter NN A52264 721 19 A a NN A52264 721 20 is be VBZ A52264 721 21 3 3 CD A52264 721 22 , , , A52264 721 23 the the DT A52264 721 24 Logarithme Logarithme NNP A52264 721 25 of of IN A52264 721 26 16 16 CD A52264 721 27 , , , A52264 721 28 5 5 CD A52264 721 29 , , , A52264 721 30 the the DT A52264 721 31 Logarithme Logarithme NNP A52264 721 32 of of IN A52264 721 33 32 32 CD A52264 721 34 , , , A52264 721 35 6 6 CD A52264 721 36 ; ; : A52264 721 37 and and CC A52264 721 38 the the DT A52264 721 39 Logarithme Logarithme NNP A52264 721 40 of of IN A52264 721 41 128 128 CD A52264 721 42 is be VBZ A52264 721 43 8 8 CD A52264 721 44 . . . A52264 722 1 Now now RB A52264 722 2 as as IN A52264 722 3 the the DT A52264 722 4 summe summe NN A52264 722 5 of of IN A52264 722 6 5 5 CD A52264 722 7 and and CC A52264 722 8 6 6 CD A52264 722 9 , , , A52264 722 10 the the DT A52264 722 11 Logarithmes logarithme NNS A52264 722 12 of of IN A52264 722 13 the the DT A52264 722 14 mean mean JJ A52264 722 15 numbers number NNS A52264 722 16 do do VBP A52264 722 17 make make VB A52264 722 18 11 11 CD A52264 722 19 , , , A52264 722 20 so so CC A52264 722 21 the the DT A52264 722 22 summe summe NN A52264 722 23 of of IN A52264 722 24 3 3 CD A52264 722 25 and and CC A52264 722 26 8 8 CD A52264 722 27 , , , A52264 722 28 the the DT A52264 722 29 Logarithmes logarithme NNS A52264 722 30 of of IN A52264 722 31 the the DT A52264 722 32 extreames extreame NNS A52264 722 33 , , , A52264 722 34 do do VBP A52264 722 35 make make VB A52264 722 36 11 11 CD A52264 722 37 also also RB A52264 722 38 . . . A52264 723 1 7 7 LS A52264 723 2 . . . A52264 724 1 § § ADD A52264 724 2 . . . A52264 725 1 When when WRB A52264 725 2 four four CD A52264 725 3 numbers number NNS A52264 725 4 be be VB A52264 725 5 proportional proportional JJ A52264 725 6 , , , A52264 725 7 the the DT A52264 725 8 Logarithme Logarithme NNP A52264 725 9 of of IN A52264 725 10 the the DT A52264 725 11 first first JJ A52264 725 12 substracted substracte VBN A52264 725 13 from from IN A52264 725 14 the the DT A52264 725 15 summe summe NN A52264 725 16 of of IN A52264 725 17 the the DT A52264 725 18 Logarithmes logarithme NNS A52264 725 19 of of IN A52264 725 20 the the DT A52264 725 21 second second JJ A52264 725 22 and and CC A52264 725 23 third third JJ A52264 725 24 , , , A52264 725 25 leaveth leaveth VB A52264 725 26 the the DT A52264 725 27 Logarithme Logarithme NNP A52264 725 28 of of IN A52264 725 29 the the DT A52264 725 30 fourth fourth JJ A52264 725 31 . . . A52264 726 1 Example example NN A52264 726 2 . . . A52264 727 1 Let let VB A52264 727 2 the the DT A52264 727 3 proportion proportion NN A52264 727 4 be be VB A52264 727 5 , , , A52264 727 6 as as IN A52264 727 7 128 128 CD A52264 727 8 , , , A52264 727 9 to to IN A52264 727 10 32 32 CD A52264 727 11 ; ; : A52264 727 12 so so RB A52264 727 13 is be VBZ A52264 727 14 16 16 CD A52264 727 15 , , , A52264 727 16 to to IN A52264 727 17 a a DT A52264 727 18 fourth fourth JJ A52264 727 19 number number NN A52264 727 20 : : : A52264 727 21 here here RB A52264 727 22 adding add VBG A52264 727 23 5 5 CD A52264 727 24 and and CC A52264 727 25 6 6 CD A52264 727 26 , , , A52264 727 27 the the DT A52264 727 28 Logarithmes logarithme NNS A52264 727 29 of of IN A52264 727 30 the the DT A52264 727 31 second second JJ A52264 727 32 and and CC A52264 727 33 third third JJ A52264 727 34 , , , A52264 727 35 the the DT A52264 727 36 sum sum NN A52264 727 37 is be VBZ A52264 727 38 11 11 CD A52264 727 39 , , , A52264 727 40 from from IN A52264 727 41 which which WDT A52264 727 42 substracting substracte VBG A52264 727 43 8 8 CD A52264 727 44 , , , A52264 727 45 the the DT A52264 727 46 Logarithme Logarithme NNP A52264 727 47 of of IN A52264 727 48 128 128 CD A52264 727 49 , , , A52264 727 50 the the DT A52264 727 51 first first JJ A52264 727 52 proportional proportional NN A52264 727 53 , , , A52264 727 54 the the DT A52264 727 55 remainer remainer NN A52264 727 56 is be VBZ A52264 727 57 3 3 CD A52264 727 58 , , , A52264 727 59 the the DT A52264 727 60 Logarithm Logarithm NNP A52264 727 61 of of IN A52264 727 62 4 4 CD A52264 727 63 , , , A52264 727 64 the the DT A52264 727 65 fourth fourth JJ A52264 727 66 proportional proportional NN A52264 727 67 . . . A52264 728 1 8 8 LS A52264 728 2 . . . A52264 729 1 § § ADD A52264 729 2 . . . A52264 730 1 If if IN A52264 730 2 instead instead RB A52264 730 3 of of IN A52264 730 4 substracting substracte VBG A52264 730 5 the the DT A52264 730 6 aforesaid aforesaid JJ A52264 730 7 Logarithme Logarithme NNP A52264 730 8 of of IN A52264 730 9 the the DT A52264 730 10 first first JJ A52264 730 11 , , , A52264 730 12 we -PRON- PRP A52264 730 13 adde adde VBP A52264 730 14 his -PRON- PRP$ A52264 730 15 complement complement NN A52264 730 16 arithmetical arithmetical JJ A52264 730 17 to to IN A52264 730 18 any any DT A52264 730 19 number number NN A52264 730 20 , , , A52264 730 21 the the DT A52264 730 22 totall totall NN A52264 730 23 abating abate VBG A52264 730 24 that that DT A52264 730 25 number number NN A52264 730 26 , , , A52264 730 27 is be VBZ A52264 730 28 as as RB A52264 730 29 much much JJ A52264 730 30 as as IN A52264 730 31 the the DT A52264 730 32 remainer remainer NN A52264 730 33 would would MD A52264 730 34 have have VB A52264 730 35 been be VBN A52264 730 36 . . . A52264 731 1 The the DT A52264 731 2 complement complement JJ A52264 731 3 arithmetical arithmetical JJ A52264 731 4 of of IN A52264 731 5 one one CD A52264 731 6 number number NN A52264 731 7 to to IN A52264 731 8 another another DT A52264 731 9 , , , A52264 731 10 ( ( -LRB- A52264 731 11 as as RB A52264 731 12 here here RB A52264 731 13 we -PRON- PRP A52264 731 14 take take VBP A52264 731 15 it -PRON- PRP A52264 731 16 ) ) -RRB- A52264 731 17 is be VBZ A52264 731 18 that that DT A52264 731 19 , , , A52264 731 20 which which WDT A52264 731 21 makes make VBZ A52264 731 22 that that DT A52264 731 23 first first JJ A52264 731 24 number number NN A52264 731 25 equall equall NN A52264 731 26 to to IN A52264 731 27 the the DT A52264 731 28 other other JJ A52264 731 29 ; ; : A52264 731 30 thus thus RB A52264 731 31 the the DT A52264 731 32 complement complement JJ A52264 731 33 arithmetical arithmetical JJ A52264 731 34 of of IN A52264 731 35 8 8 CD A52264 731 36 to to TO A52264 731 37 10 10 CD A52264 731 38 is be VBZ A52264 731 39 2 2 CD A52264 731 40 , , , A52264 731 41 because because IN A52264 731 42 8 8 CD A52264 731 43 and and CC A52264 731 44 2 2 CD A52264 731 45 are be VBP A52264 731 46 10 10 CD A52264 731 47 . . . A52264 732 1 Now now RB A52264 732 2 then then RB A52264 732 3 whereas whereas IN A52264 732 4 in in IN A52264 732 5 the the DT A52264 732 6 example example NN A52264 732 7 of of IN A52264 732 8 the the DT A52264 732 9 last last JJ A52264 732 10 Proposition proposition NN A52264 732 11 , , , A52264 732 12 substracting substracte VBG A52264 732 13 8 8 CD A52264 732 14 from from IN A52264 732 15 11 11 CD A52264 732 16 , , , A52264 732 17 there there EX A52264 732 18 remained remain VBD A52264 732 19 3 3 CD A52264 732 20 , , , A52264 732 21 if if IN A52264 732 22 instead instead RB A52264 732 23 of of IN A52264 732 24 substracting substracte VBG A52264 732 25 8 8 CD A52264 732 26 , , , A52264 732 27 we -PRON- PRP A52264 732 28 adde adde VBP A52264 732 29 his -PRON- PRP$ A52264 732 30 complement complement NN A52264 732 31 arithmeticall arithmeticall NN A52264 732 32 to to IN A52264 732 33 10 10 CD A52264 732 34 , , , A52264 732 35 which which WDT A52264 732 36 is be VBZ A52264 732 37 2 2 CD A52264 732 38 , , , A52264 732 39 the the DT A52264 732 40 totall totall NN A52264 732 41 is be VBZ A52264 732 42 13 13 CD A52264 732 43 , , , A52264 732 44 from from IN A52264 732 45 which which WDT A52264 732 46 abating abate VBG A52264 732 47 10 10 CD A52264 732 48 , , , A52264 732 49 there there EX A52264 732 50 remains remain VBZ A52264 732 51 3 3 CD A52264 732 52 , , , A52264 732 53 as as IN A52264 732 54 before before RB A52264 732 55 : : : A52264 732 56 both both PDT A52264 732 57 the the DT A52264 732 58 operations operation NNS A52264 732 59 stand stand VBP A52264 732 60 thus thus RB A52264 732 61 : : : A52264 732 62 As as IN A52264 732 63 128 128 CD A52264 732 64 , , , A52264 732 65 is be VBZ A52264 732 66 to to TO A52264 732 67 32 32 CD A52264 732 68 : : : A52264 732 69 So so RB A52264 732 70 is be VBZ A52264 732 71 16 16 CD A52264 732 72 , , , A52264 732 73 Logar Logar NNP A52264 732 74 8 8 CD A52264 732 75 compl compl NN A52264 732 76 . . . A52264 733 1 arithmetical arithmetical NNP A52264 733 2 2 2 CD A52264 733 3 6 6 CD A52264 733 4     _SP A52264 733 5 6 6 CD A52264 733 6 5 5 CD A52264 733 7     _SP A52264 733 8 5 5 CD A52264 733 9 The the DT A52264 733 10 aggreg aggreg NNS A52264 733 11 . . . A52264 734 1 of of IN A52264 734 2 1.2 1.2 CD A52264 734 3 . . . A52264 735 1 11 11 CD A52264 735 2 Their -PRON- PRP$ A52264 735 3 aggregate aggregate NN A52264 735 4 is be VBZ A52264 735 5 13 13 CD A52264 735 6 To to TO A52264 735 7 4 4 CD A52264 735 8 , , , A52264 735 9     _SP A52264 735 10 3 3 CD A52264 735 11         _SP A52264 735 12 from from IN A52264 735 13 which which WDT A52264 735 14 abate abate VBP A52264 735 15 10 10 CD A52264 735 16 , , , A52264 735 17 there there EX A52264 735 18 remaines remain VBZ A52264 735 19 3 3 CD A52264 735 20 , , , A52264 735 21 and and CC A52264 735 22 the the DT A52264 735 23 like like JJ A52264 735 24 is be VBZ A52264 735 25 to to TO A52264 735 26 be be VB A52264 735 27 understood understand VBN A52264 735 28 of of IN A52264 735 29 any any DT A52264 735 30 other other JJ A52264 735 31 . . . A52264 736 1 The the DT A52264 736 2 reason reason NN A52264 736 3 is be VBZ A52264 736 4 manifest manifest JJ A52264 736 5 , , , A52264 736 6 for for IN A52264 736 7 whereas whereas IN A52264 736 8 we -PRON- PRP A52264 736 9 should should MD A52264 736 10 have have VB A52264 736 11 abated abate VBN A52264 736 12 8 8 CD A52264 736 13 out out IN A52264 736 14 of of IN A52264 736 15 11 11 CD A52264 736 16 , , , A52264 736 17 we -PRON- PRP A52264 736 18 did do VBD A52264 736 19 not not RB A52264 736 20 onely onely RB A52264 736 21 not not RB A52264 736 22 abate abate VB A52264 736 23 it -PRON- PRP A52264 736 24 , , , A52264 736 25 but but CC A52264 736 26 added add VBD A52264 736 27 moreover moreover RB A52264 736 28 his -PRON- PRP$ A52264 736 29 complement complement NN A52264 736 30 to to IN A52264 736 31 10 10 CD A52264 736 32 , , , A52264 736 33 which which WDT A52264 736 34 is be VBZ A52264 736 35 2 2 CD A52264 736 36 , , , A52264 736 37 wherefore wherefore VBD A52264 736 38 the the DT A52264 736 39 total total NN A52264 736 40 is be VBZ A52264 736 41 more more JJR A52264 736 42 then then RB A52264 736 43 if if IN A52264 736 44 should should MD A52264 736 45 be be VB A52264 736 46 by by IN A52264 736 47 8 8 CD A52264 736 48 & & CC A52264 736 49 2 2 CD A52264 736 50 , , , A52264 736 51 that that RB A52264 736 52 is be VBZ A52264 736 53 by by IN A52264 736 54 10 10 CD A52264 736 55 ; ; : A52264 736 56 wherefore wherefore VBD A52264 736 57 abating abate VBG A52264 736 58 10 10 CD A52264 736 59 from from IN A52264 736 60 it -PRON- PRP A52264 736 61 , , , A52264 736 62 we -PRON- PRP A52264 736 63 have have VBP A52264 736 64 the the DT A52264 736 65 Logarithme Logarithme NNP A52264 736 66 desired desire VBN A52264 736 67 ; ; : A52264 736 68 which which WDT A52264 736 69 rule rule VBP A52264 736 70 , , , A52264 736 71 although although IN A52264 736 72 it -PRON- PRP A52264 736 73 be be VB A52264 736 74 generall generall JJ A52264 736 75 , , , A52264 736 76 yet yet CC A52264 736 77 we -PRON- PRP A52264 736 78 shall shall MD A52264 736 79 seldome seldome VB A52264 736 80 have have VB A52264 736 81 occasion occasion NN A52264 736 82 to to TO A52264 736 83 use use VB A52264 736 84 any any DT A52264 736 85 other other JJ A52264 736 86 complements complement NNS A52264 736 87 , , , A52264 736 88 then then RB A52264 736 89 such such JJ A52264 736 90 as as IN A52264 736 91 are be VBP A52264 736 92 the the DT A52264 736 93 complements complement NNS A52264 736 94 of of IN A52264 736 95 the the DT A52264 736 96 Logarithmes logarithme NNS A52264 736 97 given give VBN A52264 736 98 either either CC A52264 736 99 to to IN A52264 736 100 10,000000 10,000000 NNP A52264 736 101 , , , A52264 736 102 or or CC A52264 736 103 to to IN A52264 736 104 20,000000 20,000000 NNP A52264 736 105 , , , A52264 736 106 the the DT A52264 736 107 ● ● NFP A52264 736 108 complement complement NN A52264 736 109 arithmetical arithmetical JJ A52264 736 110 of of IN A52264 736 111 any any DT A52264 736 112 Logarithme Logarithme NNP A52264 736 113 to to IN A52264 736 114 either either DT A52264 736 115 of of IN A52264 736 116 these these DT A52264 736 117 numbers number NNS A52264 736 118 , , , A52264 736 119 is be VBZ A52264 736 120 that that DT A52264 736 121 which which WDT A52264 736 122 makes make VBZ A52264 736 123 the the DT A52264 736 124 Logarithme Logarithme NNP A52264 736 125 given give VBN A52264 736 126 equal equal JJ A52264 736 127 to to IN A52264 736 128 either either DT A52264 736 129 of of IN A52264 736 130 them -PRON- PRP A52264 736 131 . . . A52264 737 1 Thus thus RB A52264 737 2 the the DT A52264 737 3 complement complement JJ A52264 737 4 arithmetical arithmetical JJ A52264 737 5 of of IN A52264 737 6 the the DT A52264 737 7 Logarithme Logarithme NNP A52264 737 8 of of IN A52264 737 9 2 2 CD A52264 737 10 viz viz NN A52264 737 11 . . . A52264 738 1 0301030 0301030 CD A52264 738 2 , , , A52264 738 3 is be VBZ A52264 738 4 9698970 9698970 CD A52264 738 5 , , , A52264 738 6 because because IN A52264 738 7 these these DT A52264 738 8 two two CD A52264 738 9 numbers number NNS A52264 738 10 added add VBN A52264 738 11 together together RB A52264 738 12 , , , A52264 738 13 do do VB A52264 738 14 make make VB A52264 738 15 10.000000 10.000000 CD A52264 738 16 , , , A52264 738 17 and and CC A52264 738 18 thus thus RB A52264 738 19 the the DT A52264 738 20 complement complement NN A52264 738 21 thereof thereof RB A52264 738 22 to to IN A52264 738 23 20 20 CD A52264 738 24 . . . A52264 739 1 000000is 000000is NNP A52264 739 2 19698970 19698970 CD A52264 739 3 : : : A52264 739 4 if if IN A52264 739 5 therefore therefore RB A52264 739 6 0301030 0301030 CD A52264 739 7 be be VB A52264 739 8 substracted substracte VBN A52264 739 9 from from IN A52264 739 10 10.000000 10.000000 CD A52264 739 11 , , , A52264 739 12 the the DT A52264 739 13 remainer remainer NN A52264 739 14 is be VBZ A52264 739 15 his -PRON- PRP$ A52264 739 16 complement complement JJ A52264 739 17 arithmetical arithmetical NN A52264 739 18 . . . A52264 740 1 But but CC A52264 740 2 to to IN A52264 740 3 finde finde VB A52264 740 4 it -PRON- PRP A52264 740 5 readily readily RB A52264 740 6 , , , A52264 740 7 you -PRON- PRP A52264 740 8 may may MD A52264 740 9 instead instead RB A52264 740 10 of of IN A52264 740 11 substracting substracte VBG A52264 740 12 the the DT A52264 740 13 Logarithme Logarithme NNP A52264 740 14 given give VBN A52264 740 15 from from IN A52264 740 16 10.000000 10.000000 CD A52264 740 17 , , , A52264 740 18 write write VB A52264 740 19 the the DT A52264 740 20 complement complement NN A52264 740 21 of of IN A52264 740 22 every every DT A52264 740 23 figure figure NN A52264 740 24 thereof thereof IN A52264 740 25 unto unto IN A52264 740 26 9 9 CD A52264 740 27 , , , A52264 740 28 beginning begin VBG A52264 740 29 with with IN A52264 740 30 the the DT A52264 740 31 first first JJ A52264 740 32 figure figure NN A52264 740 33 toward toward IN A52264 740 34 the the DT A52264 740 35 left left JJ A52264 740 36 hand hand NN A52264 740 37 , , , A52264 740 38 and and CC A52264 740 39 so so RB A52264 740 40 on on RB A52264 740 41 , , , A52264 740 42 till till IN A52264 740 43 you -PRON- PRP A52264 740 44 come come VBP A52264 740 45 to to IN A52264 740 46 the the DT A52264 740 47 last last JJ A52264 740 48 figure figure NN A52264 740 49 towards towards IN A52264 740 50 the the DT A52264 740 51 right right JJ A52264 740 52 hand hand NN A52264 740 53 , , , A52264 740 54 and and CC A52264 740 55 thereof thereof RB A52264 740 56 set set VBD A52264 740 57 down down RP A52264 740 58 the the DT A52264 740 59 residue residue NN A52264 740 60 unto unto IN A52264 740 61 10 10 CD A52264 740 62 . . . A52264 741 1 Thus thus RB A52264 741 2 for for IN A52264 741 3 the the DT A52264 741 4 complement complement JJ A52264 741 5 arithmetical arithmetical JJ A52264 741 6 of of IN A52264 741 7 the the DT A52264 741 8 aforesaid aforesaid JJ A52264 741 9 Logarithme Logarithme NNP A52264 741 10 , , , A52264 741 11 0301030 0301030 CD A52264 741 12 ; ; : A52264 741 13 I -PRON- PRP A52264 741 14 write write VBP A52264 741 15 for for IN A52264 741 16 0 0 CD A52264 741 17 , , , A52264 741 18 9 9 CD A52264 741 19 : : : A52264 741 20 for for IN A52264 741 21 3 3 CD A52264 741 22 , , , A52264 741 23 6 6 CD A52264 741 24 : : : A52264 741 25 for for IN A52264 741 26 0 0 CD A52264 741 27 , , , A52264 741 28 9 9 CD A52264 741 29 : : : A52264 741 30 for for IN A52264 741 31 1 1 CD A52264 741 32 , , , A52264 741 33 8 8 CD A52264 741 34 : : : A52264 741 35 for for IN A52264 741 36 0 0 CD A52264 741 37 , , , A52264 741 38 9 9 CD A52264 741 39 : : : A52264 741 40 for for IN A52264 741 41 3 3 CD A52264 741 42 again again RB A52264 741 43 I -PRON- PRP A52264 741 44 should should MD A52264 741 45 write write VB A52264 741 46 6 6 CD A52264 741 47 : : : A52264 741 48 but but CC A52264 741 49 because because IN A52264 741 50 the the DT A52264 741 51 last last JJ A52264 741 52 place place NN A52264 741 53 of of IN A52264 741 54 the the DT A52264 741 55 Logarithme Logarithme NNP A52264 741 56 is be VBZ A52264 741 57 a a DT A52264 741 58 cipher cipher NN A52264 741 59 , , , A52264 741 60 and and CC A52264 741 61 that that IN A52264 741 62 I -PRON- PRP A52264 741 63 must must MD A52264 741 64 write write VB A52264 741 65 the the DT A52264 741 66 complement complement NN A52264 741 67 thereof thereof RB A52264 741 68 to to IN A52264 741 69 10 10 CD A52264 741 70 , , , A52264 741 71 instead instead RB A52264 741 72 of of IN A52264 741 73 6 6 CD A52264 741 74 I -PRON- PRP A52264 741 75 write write VBP A52264 741 76 7 7 CD A52264 741 77 , , , A52264 741 78 and and CC A52264 741 79 for for IN A52264 741 80 0 0 CD A52264 741 81 , , , A52264 741 82 0 0 CD A52264 741 83 : : : A52264 741 84 and and CC A52264 741 85 so so RB A52264 741 86 have have VBP A52264 741 87 I -PRON- PRP A52264 741 88 this this DT A52264 741 89 number number NN A52264 741 90 , , , A52264 741 91 9698970 9698970 CD A52264 741 92 , , , A52264 741 93 which which WDT A52264 741 94 is be VBZ A52264 741 95 the the DT A52264 741 96 complement complement JJ A52264 741 97 arithmetical arithmetical NN A52264 741 98 of of IN A52264 741 99 0301030 0301030 CD A52264 741 100 , , , A52264 741 101 as as IN A52264 741 102 before before RB A52264 741 103 . . . A52264 742 1 9 9 CD A52264 742 2 . . . A52264 743 1 § § ADD A52264 743 2 Every every DT A52264 743 3 Logarithme Logarithme NNP A52264 743 4 hath hath NN A52264 743 5 his -PRON- PRP$ A52264 743 6 proper proper JJ A52264 743 7 Characteristick Characteristick NNP A52264 743 8 , , , A52264 743 9 and and CC A52264 743 10 the the DT A52264 743 11 Character Character NNP A52264 743 12 or or CC A52264 743 13 Characteristicall Characteristicall NNP A52264 743 14 root root NN A52264 743 15 of of IN A52264 743 16 every every DT A52264 743 17 Logarithme Logarithme NNP A52264 743 18 is be VBZ A52264 743 19 the the DT A52264 743 20 first first JJ A52264 743 21 figure figure NN A52264 743 22 or or CC A52264 743 23 figures figure NNS A52264 743 24 towards towards IN A52264 743 25 the the DT A52264 743 26 left left JJ A52264 743 27 hand hand NN A52264 743 28 , , , A52264 743 29 distinguished distinguish VBN A52264 743 30 from from IN A52264 743 31 the the DT A52264 743 32 rest rest NN A52264 743 33 by by IN A52264 743 34 a a DT A52264 743 35 point point NN A52264 743 36 or or CC A52264 743 37 comma comma NN A52264 743 38 . . . A52264 744 1 Thus thus RB A52264 744 2 the the DT A52264 744 3 Character Character NNP A52264 744 4 of of IN A52264 744 5 the the DT A52264 744 6 Logarithmes logarithme NNS A52264 744 7 of of IN A52264 744 8 every every DT A52264 744 9 number number NN A52264 744 10 lesse lesse NN A52264 744 11 then then RB A52264 744 12 10 10 CD A52264 744 13 is be VBZ A52264 744 14 0 0 CD A52264 744 15 , , , A52264 744 16 but but CC A52264 744 17 the the DT A52264 744 18 Character Character NNP A52264 744 19 of of IN A52264 744 20 the the DT A52264 744 21 Logarithme Logarithme NNP A52264 744 22 of of IN A52264 744 23 10 10 CD A52264 744 24 is be VBZ A52264 744 25 1 1 CD A52264 744 26 ; ; : A52264 744 27 and and CC A52264 744 28 so so RB A52264 744 29 of of IN A52264 744 30 all all DT A52264 744 31 other other JJ A52264 744 32 numbers number NNS A52264 744 33 to to IN A52264 744 34 100 100 CD A52264 744 35 , , , A52264 744 36 but but CC A52264 744 37 the the DT A52264 744 38 Character Character NNP A52264 744 39 of of IN A52264 744 40 the the DT A52264 744 41 Logarithme Logarithme NNP A52264 744 42 of of IN A52264 744 43 100 100 CD A52264 744 44 is be VBZ A52264 744 45 2 2 CD A52264 744 46 ; ; : A52264 744 47 and and CC A52264 744 48 so so RB A52264 744 49 of of IN A52264 744 50 the the DT A52264 744 51 rest rest NN A52264 744 52 to to IN A52264 744 53 1000 1000 CD A52264 744 54 ; ; : A52264 744 55 and and CC A52264 744 56 the the DT A52264 744 57 Character Character NNP A52264 744 58 of of IN A52264 744 59 the the DT A52264 744 60 Logarithme Logarithme NNP A52264 744 61 of of IN A52264 744 62 1000 1000 CD A52264 744 63 is be VBZ A52264 744 64 3 3 CD A52264 744 65 ; ; : A52264 744 66 and and CC A52264 744 67 so so RB A52264 744 68 of of IN A52264 744 69 the the DT A52264 744 70 rest rest NN A52264 744 71 to to IN A52264 744 72 10000 10000 CD A52264 744 73 : : : A52264 744 74 in in IN A52264 744 75 brief brief NN A52264 744 76 , , , A52264 744 77 the the DT A52264 744 78 Characteristick Characteristick NNP A52264 744 79 of of IN A52264 744 80 any any DT A52264 744 81 Logarithme Logarithme NNP A52264 744 82 must must MD A52264 744 83 consist consist VB A52264 744 84 of of IN A52264 744 85 a a DT A52264 744 86 unite unite NN A52264 744 87 lesse lesse NN A52264 744 88 then then RB A52264 744 89 the the DT A52264 744 90 given give VBN A52264 744 91 number number NN A52264 744 92 consisteth consisteth NN A52264 744 93 of of IN A52264 744 94 digits digit NNS A52264 744 95 or or CC A52264 744 96 places place NNS A52264 744 97 , , , A52264 744 98 And and CC A52264 744 99 therefore therefore RB A52264 744 100 by by IN A52264 744 101 the the DT A52264 744 102 Character Character NNP A52264 744 103 of of IN A52264 744 104 a a DT A52264 744 105 Logarithme Logarithme NNP A52264 744 106 you -PRON- PRP A52264 744 107 may may MD A52264 744 108 know know VB A52264 744 109 of of IN A52264 744 110 how how WRB A52264 744 111 many many JJ A52264 744 112 places place NNS A52264 744 113 the the DT A52264 744 114 absolute absolute JJ A52264 744 115 number number NN A52264 744 116 answering answer VBG A52264 744 117 to to IN A52264 744 118 that that DT A52264 744 119 Logarithme Logarithme NNP A52264 744 120 doth doth NN A52264 744 121 consist consist VBP A52264 744 122 . . . A52264 745 1 10 10 CD A52264 745 2 . . . A52264 746 1 § § ADD A52264 746 2 . . . A52264 747 1 If if IN A52264 747 2 one one CD A52264 747 3 number number NN A52264 747 4 multiply multiply VB A52264 747 5 another another DT A52264 747 6 , , , A52264 747 7 the the DT A52264 747 8 summe summe NN A52264 747 9 of of IN A52264 747 10 their -PRON- PRP$ A52264 747 11 Logarithme Logarithme NNP A52264 747 12 is be VBZ A52264 747 13 equal equal JJ A52264 747 14 to to IN A52264 747 15 the the DT A52264 747 16 Logarithme Logarithme NNP A52264 747 17 of of IN A52264 747 18 the the DT A52264 747 19 product product NN A52264 747 20 . . . A52264 748 1 As as IN A52264 748 2 let let VB A52264 748 3 the the DT A52264 748 4 two two CD A52264 748 5 numbers number NNS A52264 748 6 multiplied multiply VBN A52264 748 7 together together RB A52264 748 8 be be VB A52264 748 9 2 2 CD A52264 748 10 , , , A52264 748 11 and and CC A52264 748 12 2 2 CD A52264 748 13 the the DT A52264 748 14 products product NNS A52264 748 15 is be VBZ A52264 748 16 4 4 CD A52264 748 17 , , , A52264 748 18 I -PRON- PRP A52264 748 19 say say VBP A52264 748 20 then then RB A52264 748 21 that that IN A52264 748 22 the the DT A52264 748 23 summe summe NN A52264 748 24 of of IN A52264 748 25 the the DT A52264 748 26 Logarithmes logarithme NNS A52264 748 27 of of IN A52264 748 28 2 2 CD A52264 748 29 and and CC A52264 748 30 2 2 CD A52264 748 31 , , , A52264 748 32 or or CC A52264 748 33 the the DT A52264 748 34 Logarithme Logarithme NNP A52264 748 35 of of IN A52264 748 36 2 2 CD A52264 748 37 doubled double VBD A52264 748 38 is be VBZ A52264 748 39 equal equal JJ A52264 748 40 to to IN A52264 748 41 the the DT A52264 748 42 Logarithme Logarithme NNP A52264 748 43 of of IN A52264 748 44 4 4 CD A52264 748 45 , , , A52264 748 46 as as RB A52264 748 47 here here RB A52264 748 48 you -PRON- PRP A52264 748 49 may may MD A52264 748 50 see see VB A52264 748 51 . . . A52264 749 1 2 2 LS A52264 749 2 . . . A52264 750 1 0.301030 0.301030 CD A52264 750 2 2 2 CD A52264 750 3 . . . A52264 751 1 0.301030 0.301030 CD A52264 751 2         _SP A52264 751 3 4 4 CD A52264 751 4 . . . A52264 752 1 0.602060 0.602060 CD A52264 752 2 Again again RB A52264 752 3 , , , A52264 752 4 let let VB A52264 752 5 the the DT A52264 752 6 two two CD A52264 752 7 numbers number NNS A52264 752 8 multiplied multiply VBN A52264 752 9 together together RB A52264 752 10 be be VB A52264 752 11 2 2 CD A52264 752 12 , , , A52264 752 13 and and CC A52264 752 14 4 4 CD A52264 752 15 , , , A52264 752 16 the the DT A52264 752 17 product product NN A52264 752 18 is be VBZ A52264 752 19 8 8 CD A52264 752 20 , , , A52264 752 21 I -PRON- PRP A52264 752 22 say say VBP A52264 752 23 then then RB A52264 752 24 that that IN A52264 752 25 the the DT A52264 752 26 summe summe NN A52264 752 27 of of IN A52264 752 28 the the DT A52264 752 29 Logarithmes logarithme NNS A52264 752 30 of of IN A52264 752 31 2 2 CD A52264 752 32 and and CC A52264 752 33 4 4 CD A52264 752 34 is be VBZ A52264 752 35 equall equall JJ A52264 752 36 to to IN A52264 752 37 the the DT A52264 752 38 Logarithme Logarithme NNP A52264 752 39 of of IN A52264 752 40 8 8 CD A52264 752 41 , , , A52264 752 42 as as IN A52264 752 43 here here RB A52264 752 44 you -PRON- PRP A52264 752 45 may may MD A52264 752 46 also also RB A52264 752 47 see see VB A52264 752 48 , , , A52264 752 49 2 2 CD A52264 752 50 . . . A52264 753 1 0.301030 0.301030 CD A52264 753 2 4 4 CD A52264 753 3 . . . A52264 754 1 0.602060 0.602060 CD A52264 754 2         _SP A52264 754 3 8 8 CD A52264 754 4 . . . A52264 755 1 0.903090 0.903090 CD A52264 755 2 And and CC A52264 755 3 so so RB A52264 755 4 for for IN A52264 755 5 any any DT A52264 755 6 other other JJ A52264 755 7 . . . A52264 756 1 The the DT A52264 756 2 reason reason NN A52264 756 3 is be VBZ A52264 756 4 , , , A52264 756 5 for for IN A52264 756 6 that that DT A52264 756 7 ( ( -LRB- A52264 756 8 by by IN A52264 756 9 the the DT A52264 756 10 ground ground NN A52264 756 11 of of IN A52264 756 12 multiplication multiplication NN A52264 756 13 ) ) -RRB- A52264 756 14 as as IN A52264 756 15 unit unit NN A52264 756 16 is be VBZ A52264 756 17 in in IN A52264 756 18 proportion proportion NN A52264 756 19 to to IN A52264 756 20 the the DT A52264 756 21 multiplier multiplier NN A52264 756 22 : : : A52264 756 23 so so RB A52264 756 24 is be VBZ A52264 756 25 the the DT A52264 756 26 multiplicand multiplicand NN A52264 756 27 , , , A52264 756 28 to to IN A52264 756 29 the the DT A52264 756 30 product product NN A52264 756 31 : : : A52264 756 32 therefore therefore RB A52264 756 33 ( ( -LRB- A52264 756 34 by by IN A52264 756 35 the the DT A52264 756 36 sixth sixth JJ A52264 756 37 of of IN A52264 756 38 this this DT A52264 756 39 Chapter chapter NN A52264 756 40 ) ) -RRB- A52264 756 41 the the DT A52264 756 42 sum sum NN A52264 756 43 of of IN A52264 756 44 the the DT A52264 756 45 Logarithmes logarithme NNS A52264 756 46 of of IN A52264 756 47 a a DT A52264 756 48 unit unit NN A52264 756 49 , , , A52264 756 50 and and CC A52264 756 51 of of IN A52264 756 52 the the DT A52264 756 53 product product NN A52264 756 54 is be VBZ A52264 756 55 equall equall JJ A52264 756 56 to to IN A52264 756 57 the the DT A52264 756 58 summe summe NN A52264 756 59 of of IN A52264 756 60 the the DT A52264 756 61 Logarithmes logarithme NNS A52264 756 62 of of IN A52264 756 63 the the DT A52264 756 64 multiplier multiplier NN A52264 756 65 and and CC A52264 756 66 multiplicand multiplicand NNP A52264 756 67 , , , A52264 756 68 but but CC A52264 756 69 the the DT A52264 756 70 Logarithme Logarithme NNP A52264 756 71 of of IN A52264 756 72 a a DT A52264 756 73 unit unit NN A52264 756 74 is be VBZ A52264 756 75 0 0 CD A52264 756 76 , , , A52264 756 77 therefore therefore RB A52264 756 78 the the DT A52264 756 79 Logarithme Logarithme NNP A52264 756 80 of of IN A52264 756 81 the the DT A52264 756 82 product product NN A52264 756 83 alone alone RB A52264 756 84 is be VBZ A52264 756 85 equal equal JJ A52264 756 86 to to IN A52264 756 87 the the DT A52264 756 88 summe summe NN A52264 756 89 of of IN A52264 756 90 the the DT A52264 756 91 Logarithmes logarithme NNS A52264 756 92 of of IN A52264 756 93 the the DT A52264 756 94 multiplier multiplier NN A52264 756 95 and and CC A52264 756 96 multiplicand multiplicand NNP A52264 756 97 . . . A52264 757 1 And and CC A52264 757 2 by by IN A52264 757 3 the the DT A52264 757 4 like like JJ A52264 757 5 reason reason NN A52264 757 6 , , , A52264 757 7 it -PRON- PRP A52264 757 8 three three CD A52264 757 9 or or CC A52264 757 10 more more JJR A52264 757 11 numbers number NNS A52264 757 12 be be VB A52264 757 13 multiplied multiply VBN A52264 757 14 together together RB A52264 757 15 , , , A52264 757 16 the the DT A52264 757 17 summe summe NN A52264 757 18 of of IN A52264 757 19 all all DT A52264 757 20 their -PRON- PRP$ A52264 757 21 Logarithmes logarithme NNS A52264 757 22 is be VBZ A52264 757 23 equall equall JJ A52264 757 24 to to IN A52264 757 25 the the DT A52264 757 26 Logarithme Logarithme NNP A52264 757 27 of of IN A52264 757 28 the the DT A52264 757 29 product product NN A52264 757 30 of of IN A52264 757 31 them -PRON- PRP A52264 757 32 all all DT A52264 757 33 . . . A52264 758 1 11 11 CD A52264 758 2 . . . A52264 759 1 § § ADD A52264 759 2 . . . A52264 760 1 If if IN A52264 760 2 one one CD A52264 760 3 number number NN A52264 760 4 divide divide VBP A52264 760 5 another another DT A52264 760 6 , , , A52264 760 7 the the DT A52264 760 8 Logarithme Logarithme NNP A52264 760 9 of of IN A52264 760 10 the the DT A52264 760 11 Divisor Divisor NNP A52264 760 12 being be VBG A52264 760 13 substracted substracte VBN A52264 760 14 from from IN A52264 760 15 the the DT A52264 760 16 Logari Logari NNP A52264 760 17 ● ● . A52264 760 18 hme hme IN A52264 760 19 of of IN A52264 760 20 the the DT A52264 760 21 Dividend Dividend NNP A52264 760 22 , , , A52264 760 23 leaveth leaveth VB A52264 760 24 the the DT A52264 760 25 Logarithme Logarithme NNP A52264 760 26 of of IN A52264 760 27 the the DT A52264 760 28 Quotient Quotient NNP A52264 760 29 . . . A52264 761 1 As as IN A52264 761 2 let let VB A52264 761 3 10 10 CD A52264 761 4 be be VB A52264 761 5 divided divide VBN A52264 761 6 by by IN A52264 761 7 2 2 CD A52264 761 8 , , , A52264 761 9 the the DT A52264 761 10 quotient quotient NN A52264 761 11 is be VBZ A52264 761 12 5 5 CD A52264 761 13 . . . A52264 762 1 I -PRON- PRP A52264 762 2 say say VBP A52264 762 3 then then RB A52264 762 4 , , , A52264 762 5 if if IN A52264 762 6 the the DT A52264 762 7 Logarithme Logarithme NNP A52264 762 8 of of IN A52264 762 9 2 2 CD A52264 762 10 be be VB A52264 762 11 substracted substracte VBN A52264 762 12 from from IN A52264 762 13 the the DT A52264 762 14 Logarithme Logarithme NNP A52264 762 15 of of IN A52264 762 16 10 10 CD A52264 762 17 , , , A52264 762 18 there there EX A52264 762 19 will will MD A52264 762 20 remain remain VB A52264 762 21 the the DT A52264 762 22 Logarithme Logarithme NNP A52264 762 23 of of IN A52264 762 24 5 5 CD A52264 762 25 , , , A52264 762 26 as as IN A52264 762 27 here here RB A52264 762 28 is be VBZ A52264 762 29 to to TO A52264 762 30 be be VB A52264 762 31 seen see VBN A52264 762 32 . . . A52264 763 1 10 10 CD A52264 763 2 . . . A52264 764 1 1.000000 1.000000 CD A52264 764 2 2 2 CD A52264 764 3 . . . A52264 765 1 0.301030 0.301030 CD A52264 765 2         _SP A52264 765 3 5 5 CD A52264 765 4 . . . A52264 766 1 0.698970 0.698970 CD A52264 766 2 For for IN A52264 766 3 seeing see VBG A52264 766 4 that that IN A52264 766 5 the the DT A52264 766 6 quotient quotient NN A52264 766 7 multiplied multiply VBN A52264 766 8 by by IN A52264 766 9 the the DT A52264 766 10 divisor divisor NNP A52264 766 11 produceth produceth NNP A52264 766 12 the the DT A52264 766 13 dividend dividend NN A52264 766 14 , , , A52264 766 15 therefore therefore RB A52264 766 16 , , , A52264 766 17 by by IN A52264 766 18 the the DT A52264 766 19 last last JJ A52264 766 20 proposition proposition NN A52264 766 21 , , , A52264 766 22 the the DT A52264 766 23 sum sum NN A52264 766 24 of of IN A52264 766 25 the the DT A52264 766 26 Logarithmes logarithme NNS A52264 766 27 of of IN A52264 766 28 the the DT A52264 766 29 quotient quotient NN A52264 766 30 and and CC A52264 766 31 of of IN A52264 766 32 the the DT A52264 766 33 divisor divisor NN A52264 766 34 is be VBZ A52264 766 35 equal equal JJ A52264 766 36 to to IN A52264 766 37 the the DT A52264 766 38 Logarithme Logarithme NNP A52264 766 39 of of IN A52264 766 40 the the DT A52264 766 41 divi divi NN A52264 766 42 ● ● XX A52264 766 43 ● ● NFP A52264 766 44 ● ● NFP A52264 766 45 if if IN A52264 766 46 therefore therefore RB A52264 766 47 the the DT A52264 766 48 Logarithme Logarithme NNP A52264 766 49 of of IN A52264 766 50 the the DT A52264 766 51 divid divid NNP A52264 766 52 ● ● NNP A52264 766 53 ● ● NFP A52264 766 54 ol ol UH A52264 766 55 , , , A52264 766 56 be be VB A52264 766 57 substracted substracte VBN A52264 766 58 from from IN A52264 766 59 the the DT A52264 766 60 Logarithme Logarithme NNP A52264 766 61 of of IN A52264 766 62 the the DT A52264 766 63 divi divi NN A52264 766 64 ● ● XX A52264 766 65 ● ● NFP A52264 766 66 ● ● NFP A52264 766 67 there there EX A52264 766 68 remaines remain VBZ A52264 766 69 the the DT A52264 766 70 Logarithme Logarithme NNP A52264 766 71 of of IN A52264 766 72 the the DT A52264 766 73 quotient quotient NN A52264 766 74 . . . A52264 767 1 12 12 CD A52264 767 2 . . . A52264 768 1 § § ADD A52264 768 2 . . . A52264 769 1 In in IN A52264 769 2 any any DT A52264 769 3 continued continue VBN A52264 769 4 rank rank NN A52264 769 5 of of IN A52264 769 6 numbers number NNS A52264 769 7 Geometrically geometrically RB A52264 769 8 proportionall proportionall JJ A52264 769 9 from from IN A52264 769 10 1 1 CD A52264 769 11 , , , A52264 769 12 the the DT A52264 769 13 Logarithme Logarithme NNP A52264 769 14 of of IN A52264 769 15 any any DT A52264 769 16 one one CD A52264 769 17 of of IN A52264 769 18 them -PRON- PRP A52264 769 19 being be VBG A52264 769 20 divided divide VBN A52264 769 21 by by IN A52264 769 22 the the DT A52264 769 23 denomination denomination NN A52264 769 24 of of IN A52264 769 25 the the DT A52264 769 26 power power NN A52264 769 27 which which WDT A52264 769 28 it -PRON- PRP A52264 769 29 challengeth challengeth JJ A52264 769 30 in in IN A52264 769 31 the the DT A52264 769 32 same same JJ A52264 769 33 rank rank NN A52264 769 34 , , , A52264 769 35 the the DT A52264 769 36 quotient quotient NN A52264 769 37 will will MD A52264 769 38 give give VB A52264 769 39 you -PRON- PRP A52264 769 40 the the DT A52264 769 41 Logarithme Logarithme NNP A52264 769 42 of of IN A52264 769 43 the the DT A52264 769 44 root root NN A52264 769 45 . . . A52264 770 1 In in IN A52264 770 2 the the DT A52264 770 3 rank rank NN A52264 770 4 of of IN A52264 770 5 the the DT A52264 770 6 proportional proportional JJ A52264 770 7 numbers number NNS A52264 770 8 of of IN A52264 770 9 the the DT A52264 770 10 Table Table NNP A52264 770 11 ABCD ABCD NNP A52264 770 12 , , , A52264 770 13 2 2 CD A52264 770 14 being be VBG A52264 770 15 the the DT A52264 770 16 root root NN A52264 770 17 , , , A52264 770 18 or or CC A52264 770 19 first first JJ A52264 770 20 power power NN A52264 770 21 ; ; : A52264 770 22 4 4 CD A52264 770 23 the the DT A52264 770 24 square square JJ A52264 770 25 or or CC A52264 770 26 second second JJ A52264 770 27 power power NN A52264 770 28 , , , A52264 770 29 8 8 CD A52264 770 30 the the DT A52264 770 31 cube cube NN A52264 770 32 , , , A52264 770 33 or or CC A52264 770 34 third third JJ A52264 770 35 power power NN A52264 770 36 , , , A52264 770 37 16 16 CD A52264 770 38 the the DT A52264 770 39 bi bi JJ A52264 770 40 - - JJ A52264 770 41 quadrate quadrate JJ A52264 770 42 or or CC A52264 770 43 fourth fourth JJ A52264 770 44 , , , A52264 770 45 32 32 CD A52264 770 46 the the DT A52264 770 47 fifth fifth JJ A52264 770 48 power power NN A52264 770 49 , , , A52264 770 50 64 64 CD A52264 770 51 ▪ ▪ NN A52264 770 52 the the DT A52264 770 53 sixth sixth JJ A52264 770 54 power power NN A52264 770 55 , , , A52264 770 56 & & CC A52264 770 57 c. c. NNP A52264 770 58 I -PRON- PRP A52264 770 59 say say VBP A52264 770 60 , , , A52264 770 61 the the DT A52264 770 62 Logarithme Logarithme NNP A52264 770 63 of of IN A52264 770 64 4 4 CD A52264 770 65 , , , A52264 770 66 8 8 CD A52264 770 67 , , , A52264 770 68 16 16 CD A52264 770 69 , , , A52264 770 70 32 32 CD A52264 770 71 , , , A52264 770 72 64 64 CD A52264 770 73 , , , A52264 770 74 or or CC A52264 770 75 of of IN A52264 770 76 any any DT A52264 770 77 of of IN A52264 770 78 the the DT A52264 770 79 other other JJ A52264 770 80 subsequent subsequent JJ A52264 770 81 proportionals proportional NNS A52264 770 82 in in IN A52264 770 83 that that DT A52264 770 84 rank rank NN A52264 770 85 , , , A52264 770 86 being be VBG A52264 770 87 divided divide VBN A52264 770 88 by by IN A52264 770 89 the the DT A52264 770 90 demonination demonination NN A52264 770 91 of of IN A52264 770 92 the the DT A52264 770 93 power power NN A52264 770 94 that that WDT A52264 770 95 the the DT A52264 770 96 same same JJ A52264 770 97 proportional proportional JJ A52264 770 98 claimeth claimeth NN A52264 770 99 in in IN A52264 770 100 the the DT A52264 770 101 same same JJ A52264 770 102 rank rank NN A52264 770 103 , , , A52264 770 104 you -PRON- PRP A52264 770 105 shall shall MD A52264 770 106 finde finde NNP A52264 770 107 in in IN A52264 770 108 the the DT A52264 770 109 quotient quotient NN A52264 770 110 the the DT A52264 770 111 Logarithme Logarithme NNP A52264 770 112 of of IN A52264 770 113 2 2 CD A52264 770 114 the the DT A52264 770 115 root root NN A52264 770 116 . . . A52264 771 1 For for IN A52264 771 2 example example NN A52264 771 3 . . . A52264 772 1 In in IN A52264 772 2 the the DT A52264 772 3 same same JJ A52264 772 4 Table table NN A52264 772 5 the the DT A52264 772 6 Logarithme Logarithme NNP A52264 772 7 of of IN A52264 772 8 4 4 CD A52264 772 9 . . . A52264 772 10 the the DT A52264 772 11 square square JJ A52264 772 12 or or CC A52264 772 13 second second JJ A52264 772 14 power power NN A52264 772 15 , , , A52264 772 16 viz viz NN A52264 772 17 . . . A52264 773 1 3 3 LS A52264 773 2 . . . A52264 773 3 being be VBG A52264 773 4 given give VBN A52264 773 5 , , , A52264 773 6 I -PRON- PRP A52264 773 7 demand demand VBP A52264 773 8 the the DT A52264 773 9 Logarithme Logarithme NNP A52264 773 10 of of IN A52264 773 11 2 2 CD A52264 773 12 , , , A52264 773 13 the the DT A52264 773 14 root root NN A52264 773 15 : : : A52264 773 16 here here RB A52264 773 17 the the DT A52264 773 18 denomination denomination NN A52264 773 19 of of IN A52264 773 20 the the DT A52264 773 21 power power NN A52264 773 22 that that WDT A52264 773 23 the the DT A52264 773 24 proportional proportional JJ A52264 773 25 4 4 CD A52264 773 26 challengeth challengeth NN A52264 773 27 in in IN A52264 773 28 that that DT A52264 773 29 rank rank NN A52264 773 30 ( ( -LRB- A52264 773 31 being be VBG A52264 773 32 the the DT A52264 773 33 square square JJ A52264 773 34 or or CC A52264 773 35 second second JJ A52264 773 36 power power NN A52264 773 37 ) ) -RRB- A52264 773 38 is be VBZ A52264 773 39 2 2 CD A52264 773 40 , , , A52264 773 41 wherefore wherefore VBD A52264 773 42 if if IN A52264 773 43 3 3 CD A52264 773 44 , , , A52264 773 45 the the DT A52264 773 46 Logarithme Logarithme NNP A52264 773 47 of of IN A52264 773 48 4 4 CD A52264 773 49 be be VB A52264 773 50 divided divide VBN A52264 773 51 by by IN A52264 773 52 2 2 CD A52264 773 53 , , , A52264 773 54 the the DT A52264 773 55 quotient quotient NN A52264 773 56 will will MD A52264 773 57 be be VB A52264 773 58 1 1 CD A52264 773 59 , , , A52264 773 60 and and CC A52264 773 61 there there EX A52264 773 62 will will MD A52264 773 63 remain remain VB A52264 773 64 1 1 CD A52264 773 65 for for IN A52264 773 66 a a DT A52264 773 67 fraction fraction NN A52264 773 68 ; ; : A52264 773 69 so so IN A52264 773 70 that that IN A52264 773 71 you -PRON- PRP A52264 773 72 see see VBP A52264 773 73 it -PRON- PRP A52264 773 74 cometh cometh JJ A52264 773 75 very very RB A52264 773 76 near near RB A52264 773 77 in in IN A52264 773 78 the the DT A52264 773 79 Logarithmes logarithme NNS A52264 773 80 of of IN A52264 773 81 but but CC A52264 773 82 one one CD A52264 773 83 figure figure NN A52264 773 84 , , , A52264 773 85 but but CC A52264 773 86 if if IN A52264 773 87 you -PRON- PRP A52264 773 88 take take VBP A52264 773 89 it -PRON- PRP A52264 773 90 to to IN A52264 773 91 seven seven CD A52264 773 92 places place NNS A52264 773 93 , , , A52264 773 94 as as IN A52264 773 95 in in IN A52264 773 96 this this DT A52264 773 97 table table NN A52264 773 98 is be VBZ A52264 773 99 intended intend VBN A52264 773 100 , , , A52264 773 101 you -PRON- PRP A52264 773 102 shall shall MD A52264 773 103 finde finde VB A52264 773 104 it -PRON- PRP A52264 773 105 exactly exactly RB A52264 773 106 : : : A52264 773 107 for for IN A52264 773 108 then then RB A52264 773 109 the the DT A52264 773 110 Logarithme Logarithme NNP A52264 773 111 of of IN A52264 773 112 4 4 CD A52264 773 113 will will MD A52264 773 114 be be VB A52264 773 115 0.602060 0.602060 CD A52264 773 116 , , , A52264 773 117 and and CC A52264 773 118 this this DT A52264 773 119 being be VBG A52264 773 120 divided divide VBN A52264 773 121 by by IN A52264 773 122 2 2 CD A52264 773 123 , , , A52264 773 124 the the DT A52264 773 125 quotient quotient NN A52264 773 126 will will MD A52264 773 127 be be VB A52264 773 128 0.301030 0.301030 CD A52264 773 129 , , , A52264 773 130 the the DT A52264 773 131 Logarithme Logarithme NNP A52264 773 132 of of IN A52264 773 133 2 2 CD A52264 773 134 the the DT A52264 773 135 root root NN A52264 773 136 . . . A52264 774 1 So so RB A52264 774 2 likewise likewise RB A52264 774 3 0.903090 0.903090 CD A52264 774 4 , , , A52264 774 5 the the DT A52264 774 6 Logarithme Logarithme NNP A52264 774 7 of of IN A52264 774 8 8 8 CD A52264 774 9 the the DT A52264 774 10 third third JJ A52264 774 11 power power NN A52264 774 12 , , , A52264 774 13 being be VBG A52264 774 14 divided divide VBN A52264 774 15 by by IN A52264 774 16 3 3 CD A52264 774 17 , , , A52264 774 18 leaves leave VBZ A52264 774 19 0.301030 0.301030 CD A52264 774 20 in in IN A52264 774 21 the the DT A52264 774 22 quotient quotient NN A52264 774 23 , , , A52264 774 24 as as IN A52264 774 25 before before RB A52264 774 26 , , , A52264 774 27 and and CC A52264 774 28 so so RB A52264 774 29 of of IN A52264 774 30 any any DT A52264 774 31 other other JJ A52264 774 32 . . . A52264 775 1 13 13 CD A52264 775 2 . . . A52264 776 1 § § ADD A52264 776 2 . . . A52264 777 1 In in IN A52264 777 2 any any DT A52264 777 3 rank rank NN A52264 777 4 of of IN A52264 777 5 numbers number NNS A52264 777 6 Geometrically geometrically RB A52264 777 7 proportionall proportionall JJ A52264 777 8 from from IN A52264 777 9 1 1 CD A52264 777 10 , , , A52264 777 11 the the DT A52264 777 12 Logarithme Logarithme NNP A52264 777 13 of of IN A52264 777 14 the the DT A52264 777 15 root root NN A52264 777 16 being be VBG A52264 777 17 multiplied multiply VBN A52264 777 18 by by IN A52264 777 19 the the DT A52264 777 20 denomination denomination NN A52264 777 21 of of IN A52264 777 22 any any DT A52264 777 23 of of IN A52264 777 24 the the DT A52264 777 25 powers power NNS A52264 777 26 , , , A52264 777 27 the the DT A52264 777 28 product product NN A52264 777 29 is be VBZ A52264 777 30 the the DT A52264 777 31 Logarithme Logarithme NNP A52264 777 32 of of IN A52264 777 33 the the DT A52264 777 34 same same JJ A52264 777 35 power power NN A52264 777 36 . . . A52264 778 1 This this DT A52264 778 2 Rule rule NN A52264 778 3 is be VBZ A52264 778 4 the the DT A52264 778 5 inverse inverse NN A52264 778 6 of of IN A52264 778 7 the the DT A52264 778 8 last last JJ A52264 778 9 . . . A52264 779 1 For for IN A52264 779 2 example example NN A52264 779 3 . . . A52264 780 1 In in IN A52264 780 2 the the DT A52264 780 3 rank rank NN A52264 780 4 produced produce VBN A52264 780 5 in in IN A52264 780 6 the the DT A52264 780 7 last last JJ A52264 780 8 rule rule NN A52264 780 9 0.301030 0.301030 CD A52264 780 10 , , , A52264 780 11 ( ( -LRB- A52264 780 12 the the DT A52264 780 13 Logarithme Logarithme NNP A52264 780 14 of of IN A52264 780 15 2 2 CD A52264 780 16 the the DT A52264 780 17 root root NN A52264 780 18 ) ) -RRB- A52264 780 19 being be VBG A52264 780 20 doubled double VBN A52264 780 21 , , , A52264 780 22 or or CC A52264 780 23 multiplied multiply VBN A52264 780 24 by by IN A52264 780 25 2 2 CD A52264 780 26 , , , A52264 780 27 produceth produceth NNP A52264 780 28 0.602060 0.602060 CD A52264 780 29 , , , A52264 780 30 the the DT A52264 780 31 Logarithme Logarithme NNP A52264 780 32 of of IN A52264 780 33 4 4 CD A52264 780 34 , , , A52264 780 35 the the DT A52264 780 36 square square JJ A52264 780 37 or or CC A52264 780 38 second second JJ A52264 780 39 power power NN A52264 780 40 , , , A52264 780 41 and and CC A52264 780 42 the the DT A52264 780 43 same same JJ A52264 780 44 Logarithme Logarithme NNP A52264 780 45 of of IN A52264 780 46 0.301030 0.301030 CD A52264 780 47 , , , A52264 780 48 being be VBG A52264 780 49 trebled treble VBN A52264 780 50 or or CC A52264 780 51 multiplied multiply VBN A52264 780 52 by by IN A52264 780 53 3 3 CD A52264 780 54 , , , A52264 780 55 produceth produceth NNP A52264 780 56 0.903090 0.903090 CD A52264 780 57 , , , A52264 780 58 the the DT A52264 780 59 Logarithme Logarithme NNP A52264 780 60 of of IN A52264 780 61 8 8 CD A52264 780 62 , , , A52264 780 63 the the DT A52264 780 64 cube cube NN A52264 780 65 or or CC A52264 780 66 third third JJ A52264 780 67 power power NN A52264 780 68 , , , A52264 780 69 and and CC A52264 780 70 so so RB A52264 780 71 of of IN A52264 780 72 the the DT A52264 780 73 rest rest NN A52264 780 74 . . . A52264 781 1 The the DT A52264 781 2 truth truth NN A52264 781 3 of of IN A52264 781 4 these these DT A52264 781 5 two two CD A52264 781 6 last last JJ A52264 781 7 rules rule NNS A52264 781 8 may may MD A52264 781 9 thus thus RB A52264 781 10 be be VB A52264 781 11 proved prove VBN A52264 781 12 . . . A52264 782 1 In in IN A52264 782 2 arithmeticall arithmeticall NN A52264 782 3 proportion proportion NN A52264 782 4 , , , A52264 782 5 when when WRB A52264 782 6 the the DT A52264 782 7 first first JJ A52264 782 8 term term NN A52264 782 9 is be VBZ A52264 782 10 the the DT A52264 782 11 common common JJ A52264 782 12 difference difference NN A52264 782 13 of of IN A52264 782 14 the the DT A52264 782 15 terms term NNS A52264 782 16 , , , A52264 782 17 the the DT A52264 782 18 last last JJ A52264 782 19 term term NN A52264 782 20 being be VBG A52264 782 21 divided divide VBN A52264 782 22 by by IN A52264 782 23 the the DT A52264 782 24 number number NN A52264 782 25 of of IN A52264 782 26 the the DT A52264 782 27 terms term NNS A52264 782 28 , , , A52264 782 29 the the DT A52264 782 30 quotient quotient NN A52264 782 31 will will MD A52264 782 32 give give VB A52264 782 33 you -PRON- PRP A52264 782 34 the the DT A52264 782 35 first first JJ A52264 782 36 term term NN A52264 782 37 of of IN A52264 782 38 the the DT A52264 782 39 rank rank NN A52264 782 40 : : : A52264 782 41 again again RB A52264 782 42 , , , A52264 782 43 in in IN A52264 782 44 this this DT A52264 782 45 case case NN A52264 782 46 , , , A52264 782 47 the the DT A52264 782 48 first first JJ A52264 782 49 term term NN A52264 782 50 multiplied multiply VBN A52264 782 51 by by IN A52264 782 52 the the DT A52264 782 53 number number NN A52264 782 54 of of IN A52264 782 55 the the DT A52264 782 56 termes termes NNP A52264 782 57 produceth produceth NNP A52264 782 58 the the DT A52264 782 59 last last JJ A52264 782 60 term term NN A52264 782 61 . . . A52264 783 1 So so RB A52264 783 2 this this DT A52264 783 3 rank rank NN A52264 783 4 3 3 CD A52264 783 5 , , , A52264 783 6 6 6 CD A52264 783 7 , , , A52264 783 8 9 9 CD A52264 783 9 , , , A52264 783 10 12 12 CD A52264 783 11 , , , A52264 783 12 15 15 CD A52264 783 13 , , , A52264 783 14 18 18 CD A52264 783 15 , , , A52264 783 16 21 21 CD A52264 783 17 being be VBG A52264 783 18 propounded propound VBN A52264 783 19 , , , A52264 783 20 wherein wherein WRB A52264 783 21 three three CD A52264 783 22 is be VBZ A52264 783 23 both both CC A52264 783 24 the the DT A52264 783 25 first first JJ A52264 783 26 term term NN A52264 783 27 and and CC A52264 783 28 also also RB A52264 783 29 the the DT A52264 783 30 common common JJ A52264 783 31 difference difference NN A52264 783 32 of of IN A52264 783 33 the the DT A52264 783 34 terms term NNS A52264 783 35 : : : A52264 783 36 I -PRON- PRP A52264 783 37 say say VBP A52264 783 38 , , , A52264 783 39 21 21 CD A52264 783 40 , , , A52264 783 41 the the DT A52264 783 42 last last JJ A52264 783 43 term term NN A52264 783 44 being be VBG A52264 783 45 divided divide VBN A52264 783 46 by by IN A52264 783 47 7 7 CD A52264 783 48 , , , A52264 783 49 the the DT A52264 783 50 number number NN A52264 783 51 of of IN A52264 783 52 the the DT A52264 783 53 termes terme NNS A52264 783 54 , , , A52264 783 55 the the DT A52264 783 56 quotient quotient NN A52264 783 57 is be VBZ A52264 783 58 3 3 CD A52264 783 59 , , , A52264 783 60 the the DT A52264 783 61 first first JJ A52264 783 62 term term NN A52264 783 63 . . . A52264 784 1 Contrariwise Contrariwise NNP A52264 784 2 , , , A52264 784 3 3 3 CD A52264 784 4 the the DT A52264 784 5 first first JJ A52264 784 6 term term NN A52264 784 7 multiplied multiply VBN A52264 784 8 by by IN A52264 784 9 7 7 CD A52264 784 10 , , , A52264 784 11 produceth produceth NNP A52264 784 12 21 21 CD A52264 784 13 , , , A52264 784 14 the the DT A52264 784 15 last last JJ A52264 784 16 term term NN A52264 784 17 ; ; , A52264 784 18 and and CC A52264 784 19 by by IN A52264 784 20 the the DT A52264 784 21 like like JJ A52264 784 22 reason reason NN A52264 784 23 , , , A52264 784 24 0.301030 0.301030 CD A52264 784 25 being be VBG A52264 784 26 the the DT A52264 784 27 first first JJ A52264 784 28 term term NN A52264 784 29 , , , A52264 784 30 and and CC A52264 784 31 also also RB A52264 784 32 the the DT A52264 784 33 common common JJ A52264 784 34 difference difference NN A52264 784 35 of of IN A52264 784 36 the the DT A52264 784 37 termes terme NNS A52264 784 38 , , , A52264 784 39 that that RB A52264 784 40 is is RB A52264 784 41 , , , A52264 784 42 of of IN A52264 784 43 the the DT A52264 784 44 Logarithmes logarithme NNS A52264 784 45 of of IN A52264 784 46 4 4 CD A52264 784 47 , , , A52264 784 48 8 8 CD A52264 784 49 , , , A52264 784 50 16 16 CD A52264 784 51 , , , A52264 784 52 32 32 CD A52264 784 53 and and CC A52264 784 54 64 64 CD A52264 784 55 , , , A52264 784 56 the the DT A52264 784 57 Logarithme Logarithme NNP A52264 784 58 of of IN A52264 784 59 2 2 CD A52264 784 60 the the DT A52264 784 61 first first JJ A52264 784 62 term term NN A52264 784 63 , , , A52264 784 64 being be VBG A52264 784 65 multiplied multiply VBN A52264 784 66 by by IN A52264 784 67 6 6 CD A52264 784 68 , , , A52264 784 69 the the DT A52264 784 70 number number NN A52264 784 71 of of IN A52264 784 72 the the DT A52264 784 73 terms term NNS A52264 784 74 , , , A52264 784 75 produceth produceth VB A52264 784 76 the the DT A52264 784 77 Logarithme Logarithme NNP A52264 784 78 of of IN A52264 784 79 64 64 CD A52264 784 80 , , , A52264 784 81 the the DT A52264 784 82 last last JJ A52264 784 83 term term NN A52264 784 84 , , , A52264 784 85 and and CC A52264 784 86 the the DT A52264 784 87 garithme garithme NN A52264 784 88 of of IN A52264 784 89 64 64 CD A52264 784 90 , , , A52264 784 91 the the DT A52264 784 92 last last JJ A52264 784 93 term term NN A52264 784 94 , , , A52264 784 95 being be VBG A52264 784 96 divided divide VBN A52264 784 97 by by IN A52264 784 98 6 6 CD A52264 784 99 , , , A52264 784 100 leaveth leaveth NNP A52264 784 101 in in IN A52264 784 102 the the DT A52264 784 103 quotient quotient NN A52264 784 104 the the DT A52264 784 105 Logarithme Logarithme NNP A52264 784 106 of of IN A52264 784 107 2 2 CD A52264 784 108 the the DT A52264 784 109 root root NN A52264 784 110 . . . A52264 785 1 Hence hence RB A52264 785 2 it -PRON- PRP A52264 785 3 also also RB A52264 785 4 followes followes VBP A52264 785 5 , , , A52264 785 6 that that IN A52264 785 7 if if IN A52264 785 8 you -PRON- PRP A52264 785 9 adde adde VBP A52264 785 10 the the DT A52264 785 11 Logarithme Logarithme NNP A52264 785 12 of of IN A52264 785 13 2 2 CD A52264 785 14 , , , A52264 785 15 the the DT A52264 785 16 common common JJ A52264 785 17 difference difference NN A52264 785 18 of of IN A52264 785 19 the the DT A52264 785 20 termes terme NNS A52264 785 21 , , , A52264 785 22 to to IN A52264 785 23 the the DT A52264 785 24 Logarithme Logarithme NNP A52264 785 25 of of IN A52264 785 26 any any DT A52264 785 27 term term NN A52264 785 28 , , , A52264 785 29 their -PRON- PRP$ A52264 785 30 aggregate aggregate NN A52264 785 31 shall shall MD A52264 785 32 be be VB A52264 785 33 the the DT A52264 785 34 Logarithme Logarithme NNP A52264 785 35 of of IN A52264 785 36 the the DT A52264 785 37 next next JJ A52264 785 38 term term NN A52264 785 39 . . . A52264 786 1 Thus thus RB A52264 786 2 if if IN A52264 786 3 I -PRON- PRP A52264 786 4 adde adde VBP A52264 786 5 0.301030 0.301030 CD A52264 786 6 , , , A52264 786 7 the the DT A52264 786 8 Logarithme Logarithme NNP A52264 786 9 of of IN A52264 786 10 2 2 CD A52264 786 11 the the DT A52264 786 12 root root NN A52264 786 13 or or CC A52264 786 14 first first JJ A52264 786 15 term term NN A52264 786 16 , , , A52264 786 17 to to IN A52264 786 18 0.903090 0.903090 CD A52264 786 19 , , , A52264 786 20 the the DT A52264 786 21 Logarithme Logarithme NNP A52264 786 22 of of IN A52264 786 23 8 8 CD A52264 786 24 , , , A52264 786 25 the the DT A52264 786 26 third third JJ A52264 786 27 term term NN A52264 786 28 , , , A52264 786 29 their -PRON- PRP$ A52264 786 30 aggregate aggregate NN A52264 786 31 is be VBZ A52264 786 32 1 1 CD A52264 786 33 . . . A52264 787 1 204120 204120 CD A52264 787 2 , , , A52264 787 3 the the DT A52264 787 4 Logarithme Logarithme NNP A52264 787 5 of of IN A52264 787 6 16 16 CD A52264 787 7 , , , A52264 787 8 the the DT A52264 787 9 fourth fourth JJ A52264 787 10 term term NN A52264 787 11 ; ; : A52264 787 12 and and CC A52264 787 13 so so RB A52264 787 14 of of IN A52264 787 15 the the DT A52264 787 16 rest rest NN A52264 787 17 . . . A52264 788 1 14 14 CD A52264 788 2 . . . A52264 789 1 § § ADD A52264 789 2 . . . A52264 790 1 Thus thus RB A52264 790 2 having have VBG A52264 790 3 shewed shew VBN A52264 790 4 the the DT A52264 790 5 construction construction NN A52264 790 6 of of IN A52264 790 7 the the DT A52264 790 8 Logarithmetical Logarithmetical NNP A52264 790 9 Tables Tables NNPS A52264 790 10 , , , A52264 790 11 the the DT A52264 790 12 converting converting NN A52264 790 13 of of IN A52264 790 14 the the DT A52264 790 15 Table table NN A52264 790 16 of of IN A52264 790 17 natural natural JJ A52264 790 18 Sines Sines NNPS A52264 790 19 , , , A52264 790 20 Tangents Tangents NNP A52264 790 21 , , , A52264 790 22 and and CC A52264 790 23 Secants Secants NNPS A52264 790 24 into into IN A52264 790 25 artificiall artificiall NN A52264 790 26 can can MD A52264 790 27 not not RB A52264 790 28 be be VB A52264 790 29 difficult difficult JJ A52264 790 30 , , , A52264 790 31 the the DT A52264 790 32 artificiall artificiall NN A52264 790 33 Sines Sines NNPS A52264 790 34 and and CC A52264 790 35 Tangents Tangents NNPS A52264 790 36 being be VBG A52264 790 37 nothing nothing NN A52264 790 38 but but IN A52264 790 39 the the DT A52264 790 40 Logarithmes logarithme NNS A52264 790 41 of of IN A52264 790 42 the the DT A52264 790 43 naturall naturall NN A52264 790 44 . . . A52264 791 1 15 15 CD A52264 791 2 . . . A52264 792 1 § § ADD A52264 792 2 . . . A52264 793 1 In in IN A52264 793 2 the the DT A52264 793 3 conversion conversion NN A52264 793 4 whereof whereof IN A52264 793 5 Mr. Mr. NNP A52264 793 6 Briggs Briggs NNP A52264 793 7 in in IN A52264 793 8 his -PRON- PRP$ A52264 793 9 Trigonometria Trigonometria NNP A52264 793 10 Britannica Britannica NNP A52264 793 11 , , , A52264 793 12 thought think VBD A52264 793 13 fit fit NNP A52264 793 14 to to TO A52264 793 15 make make VB A52264 793 16 the the DT A52264 793 17 Radius Radius NNP A52264 793 18 of of IN A52264 793 19 his -PRON- PRP$ A52264 793 20 natural natural JJ A52264 793 21 Canon Canon NNP A52264 793 22 to to TO A52264 793 23 consist consist VB A52264 793 24 of of IN A52264 793 25 16 16 CD A52264 793 26 places place NNS A52264 793 27 , , , A52264 793 28 and and CC A52264 793 29 to to TO A52264 793 30 confine confine VB A52264 793 31 his -PRON- PRP$ A52264 793 32 artificiall artificiall NN A52264 793 33 to to IN A52264 793 34 the the DT A52264 793 35 Radius Radius NNP A52264 793 36 of of IN A52264 793 37 eleven eleven CD A52264 793 38 , , , A52264 793 39 whose whose WP$ A52264 793 40 Characteristick Characteristick NNP A52264 793 41 is be VBZ A52264 793 42 10 10 CD A52264 793 43 , , , A52264 793 44 but but CC A52264 793 45 the the DT A52264 793 46 Characteristick Characteristick NNP A52264 793 47 of of IN A52264 793 48 the the DT A52264 793 49 rest rest NN A52264 793 50 of of IN A52264 793 51 the the DT A52264 793 52 Sines Sines NNPS A52264 793 53 till till IN A52264 793 54 you -PRON- PRP A52264 793 55 come come VBP A52264 793 56 to to IN A52264 793 57 the the DT A52264 793 58 sine sine NN A52264 793 59 of of IN A52264 793 60 5 5 CD A52264 793 61 degrees degree NNS A52264 793 62 and and CC A52264 793 63 73 73 CD A52264 793 64 centesmes centesme NNS A52264 793 65 is be VBZ A52264 793 66 9 9 CD A52264 793 67 , , , A52264 793 68 and and CC A52264 793 69 from from IN A52264 793 70 thence thence NN A52264 793 71 to to IN A52264 793 72 57 57 CD A52264 793 73 centesmes centesme NNS A52264 793 74 , , , A52264 793 75 the the DT A52264 793 76 Characteristick Characteristick NNP A52264 793 77 is be VBZ A52264 793 78 8 8 CD A52264 793 79 , , , A52264 793 80 and and CC A52264 793 81 from from IN A52264 793 82 thence thence NN A52264 793 83 7 7 CD A52264 793 84 , , , A52264 793 85 till till IN A52264 793 86 you -PRON- PRP A52264 793 87 come come VBP A52264 793 88 to to IN A52264 793 89 5 5 CD A52264 793 90 centensmes centensme NNS A52264 793 91 , , , A52264 793 92 and and CC A52264 793 93 from from IN A52264 793 94 thence thence NN A52264 793 95 but but CC A52264 793 96 6 6 CD A52264 793 97 , , , A52264 793 98 to to IN A52264 793 99 the the DT A52264 793 100 beginning beginning NN A52264 793 101 of of IN A52264 793 102 the the DT A52264 793 103 Canon Canon NNP A52264 793 104 . . . A52264 794 1 The the DT A52264 794 2 Characteristick Characteristick NNP A52264 794 3 still still RB A52264 794 4 decreasing decrease VBG A52264 794 5 in in IN A52264 794 6 the the DT A52264 794 7 same same JJ A52264 794 8 proportion proportion NN A52264 794 9 with with IN A52264 794 10 the the DT A52264 794 11 naturall naturall JJ A52264 794 12 numbers number NNS A52264 794 13 , , , A52264 794 14 and and CC A52264 794 15 the the DT A52264 794 16 number number NN A52264 794 17 of of IN A52264 794 18 the the DT A52264 794 19 places place NNS A52264 794 20 in in IN A52264 794 21 the the DT A52264 794 22 naturall naturall NN A52264 794 23 Canon Canon NNP A52264 794 24 , , , A52264 794 25 do do VB A52264 794 26 therefore therefore RB A52264 794 27 exceed exceed VB A52264 794 28 the the DT A52264 794 29 Characteristick Characteristick NNP A52264 794 30 in in IN A52264 794 31 the the DT A52264 794 32 artificiall artificiall NN A52264 794 33 , , , A52264 794 34 that that IN A52264 794 35 so so IN A52264 794 36 the the DT A52264 794 37 artificiall artificiall JJ A52264 794 38 numbers number NNS A52264 794 39 might may MD A52264 794 40 be be VB A52264 794 41 the the DT A52264 794 42 more more RBR A52264 794 43 exact exact JJ A52264 794 44 . . . A52264 795 1 16 16 CD A52264 795 2 . . . A52264 796 1 § § ADD A52264 796 2 . . . A52264 797 1 In in IN A52264 797 2 the the DT A52264 797 3 Canon Canon NNP A52264 797 4 herewith herewith NN A52264 797 5 printed print VBN A52264 797 6 , , , A52264 797 7 the the DT A52264 797 8 Characteristick Characteristick NNP A52264 797 9 in in IN A52264 797 10 the the DT A52264 797 11 artificiall artificiall JJ A52264 797 12 numbers number NNS A52264 797 13 doth doth NN A52264 797 14 exceed exceed VBP A52264 797 15 the the DT A52264 797 16 number number NN A52264 797 17 of of IN A52264 797 18 places place NNS A52264 797 19 in in IN A52264 797 20 the the DT A52264 797 21 naturall naturall NN A52264 797 22 , , , A52264 797 23 which which WDT A52264 797 24 is be VBZ A52264 797 25 not not RB A52264 797 26 done do VBN A52264 797 27 so so RB A52264 797 28 much much JJ A52264 797 29 out out IN A52264 797 30 of of IN A52264 797 31 necessity necessity NN A52264 797 32 as as IN A52264 797 33 conveniency conveniency NN A52264 797 34 , , , A52264 797 35 for for IN A52264 797 36 the the DT A52264 797 37 artificiall artificiall JJ A52264 797 38 numbers number NNS A52264 797 39 in in IN A52264 797 40 this this DT A52264 797 41 Canon Canon NNP A52264 797 42 might may MD A52264 797 43 in in IN A52264 797 44 all all DT A52264 797 45 respects respect NNS A52264 797 46 have have VBP A52264 797 47 been be VBN A52264 797 48 made make VBN A52264 797 49 answerable answerable JJ A52264 797 50 to to IN A52264 797 51 the the DT A52264 797 52 natural natural JJ A52264 797 53 , , , A52264 797 54 and and CC A52264 797 55 so so RB A52264 797 56 the the DT A52264 797 57 Characteristick Characteristick NNP A52264 797 58 of of IN A52264 797 59 the the DT A52264 797 60 Radius Radius NNP A52264 797 61 , , , A52264 797 62 or or CC A52264 797 63 whole whole JJ A52264 797 64 Sine Sine NNP A52264 797 65 would would MD A52264 797 66 have have VB A52264 797 67 been be VBN A52264 797 68 seven seven CD A52264 797 69 , , , A52264 797 70 the the DT A52264 797 71 Characterick Characterick NNP A52264 797 72 of of IN A52264 797 73 the the DT A52264 797 74 first first JJ A52264 797 75 minute minute NN A52264 797 76 3 3 CD A52264 797 77 , , , A52264 797 78 but but CC A52264 797 79 thus thus RB A52264 797 80 the the DT A52264 797 81 subduction subduction NN A52264 797 82 of of IN A52264 797 83 the the DT A52264 797 84 Radius Radius NNP A52264 797 85 would would MD A52264 797 86 not not RB A52264 797 87 have have VB A52264 797 88 been be VBN A52264 797 89 so so RB A52264 797 90 ready ready JJ A52264 797 91 as as IN A52264 797 92 now now RB A52264 797 93 it -PRON- PRP A52264 797 94 is be VBZ A52264 797 95 , , , A52264 797 96 nor nor CC A52264 797 97 yet yet RB A52264 797 98 the the DT A52264 797 99 Canon Canon NNP A52264 797 100 it -PRON- PRP A52264 797 101 self self NN A52264 797 102 altogether altogether RB A52264 797 103 so so RB A52264 797 104 exact exact JJ A52264 797 105 , , , A52264 797 106 and and CC A52264 797 107 therefore therefore RB A52264 797 108 as as IN A52264 797 109 Master Master NNP A52264 797 110 Briggs Briggs NNP A52264 797 111 confined confine VBD A52264 797 112 the the DT A52264 797 113 Radius Radius NNP A52264 797 114 of of IN A52264 797 115 his -PRON- PRP$ A52264 797 116 artificiall artificiall NN A52264 797 117 Canon Canon NNP A52264 797 118 to to IN A52264 797 119 eleven eleven CD A52264 797 120 places place NNS A52264 797 121 for for IN A52264 797 122 conveniency conveniency NN A52264 797 123 sake sake NN A52264 797 124 , , , A52264 797 125 though though IN A52264 797 126 he -PRON- PRP A52264 797 127 made make VBD A52264 797 128 the the DT A52264 797 129 Logarithmes logarithme NNS A52264 797 130 to to IN A52264 797 131 the the DT A52264 797 132 Radius Radius NNP A52264 797 133 of of IN A52264 797 134 sixteen sixteen CD A52264 797 135 : : : A52264 797 136 so so RB A52264 797 137 here here RB A52264 797 138 for for IN A52264 797 139 conveniency conveniency NN A52264 797 140 and and CC A52264 797 141 exactnesse exactnesse NNP A52264 797 142 both both DT A52264 797 143 , , , A52264 797 144 the the DT A52264 797 145 same same JJ A52264 797 146 Characterick Characterick NNP A52264 797 147 is be VBZ A52264 797 148 here here RB A52264 797 149 continued continue VBN A52264 797 150 , , , A52264 797 151 though though IN A52264 797 152 the the DT A52264 797 153 naturall naturall NN A52264 797 154 numbers number NNS A52264 797 155 do do VBP A52264 797 156 not not RB A52264 797 157 require require VB A52264 797 158 it -PRON- PRP A52264 797 159 , , , A52264 797 160 if if IN A52264 797 161 any any DT A52264 797 162 think think VBP A52264 797 163 this this DT A52264 797 164 a a DT A52264 797 165 defect defect NN A52264 797 166 , , , A52264 797 167 I -PRON- PRP A52264 797 168 answer answer VBP A52264 797 169 , , , A52264 797 170 that that IN A52264 797 171 it -PRON- PRP A52264 797 172 could could MD A52264 797 173 not not RB A52264 797 174 well well RB A52264 797 175 be be VB A52264 797 176 avoided avoid VBN A52264 797 177 here here RB A52264 797 178 , , , A52264 797 179 but but CC A52264 797 180 may may MD A52264 797 181 be be VB A52264 797 182 supplied supply VBN A52264 797 183 by by IN A52264 797 184 Master Master NNP A52264 797 185 Briggs Briggs NNP A52264 797 186 his -PRON- PRP$ A52264 797 187 Canon Canon NNP A52264 797 188 , , , A52264 797 189 of of IN A52264 797 190 which which WDT A52264 797 191 this this DT A52264 797 192 is be VBZ A52264 797 193 an an DT A52264 797 194 abbreviation abbreviation NN A52264 797 195 : : : A52264 797 196 and and CC A52264 797 197 yet yet RB A52264 797 198 even even RB A52264 797 199 here here RB A52264 797 200 there there EX A52264 797 201 is be VBZ A52264 797 202 so so RB A52264 797 203 small small JJ A52264 797 204 a a DT A52264 797 205 difference difference NN A52264 797 206 between between IN A52264 797 207 the the DT A52264 797 208 Logarithmes logarithme NNS A52264 797 209 of of IN A52264 797 210 these these DT A52264 797 211 naturall naturall JJ A52264 797 212 numbers number NNS A52264 797 213 , , , A52264 797 214 and and CC A52264 797 215 the the DT A52264 797 216 Logarithmes logarithme NNS A52264 797 217 in in IN A52264 797 218 the the DT A52264 797 219 Canon Canon NNP A52264 797 220 , , , A52264 797 221 that that IN A52264 797 222 any any DT A52264 797 223 one one NN A52264 797 224 may may MD A52264 797 225 well well RB A52264 797 226 perceive perceive VB A52264 797 227 the the DT A52264 797 228 one one NN A52264 797 229 to to TO A52264 797 230 be be VB A52264 797 231 nothing nothing NN A52264 797 232 else else RB A52264 797 233 but but CC A52264 797 234 the the DT A52264 797 235 Logarithme Logarithme NNP A52264 797 236 of of IN A52264 797 237 the the DT A52264 797 238 other other JJ A52264 797 239 , , , A52264 797 240 if if IN A52264 797 241 they -PRON- PRP A52264 797 242 do do VBP A52264 797 243 but but CC A52264 797 244 change change VB A52264 797 245 the the DT A52264 797 246 Characteristick Characteristick NNP A52264 797 247 . . . A52264 798 1 And and CC A52264 798 2 hence hence RB A52264 798 3 we -PRON- PRP A52264 798 4 may may MD A52264 798 5 gather gather VB A52264 798 6 , , , A52264 798 7 that that IN A52264 798 8 the the DT A52264 798 9 making making NN A52264 798 10 of of IN A52264 798 11 this this DT A52264 798 12 Canon Canon NNP A52264 798 13 is be VBZ A52264 798 14 not not RB A52264 798 15 so so RB A52264 798 16 difficult difficult JJ A52264 798 17 as as IN A52264 798 18 laborious laborious JJ A52264 798 19 , , , A52264 798 20 and and CC A52264 798 21 the the DT A52264 798 22 labour labour NN A52264 798 23 thereof thereof RB A52264 798 24 may may MD A52264 798 25 be be VB A52264 798 26 much much RB A52264 798 27 abridged abridge VBN A52264 798 28 by by IN A52264 798 29 this this DT A52264 798 30 Proposition Proposition NNP A52264 798 31 following follow VBG A52264 798 32 . . . A52264 799 1 17 17 CD A52264 799 2 . . . A52264 800 1 § § ADD A52264 800 2 . . . A52264 801 1 The the DT A52264 801 2 Sine Sine NNP A52264 801 3 of of IN A52264 801 4 an an DT A52264 801 5 arch arch NN A52264 801 6 and and CC A52264 801 7 half half NN A52264 801 8 the the DT A52264 801 9 Radius Radius NNP A52264 801 10 are be VBP A52264 801 11 mean mean JJ A52264 801 12 proportionals proportional NNS A52264 801 13 between between IN A52264 801 14 the the DT A52264 801 15 Sine Sine NNP A52264 801 16 of of IN A52264 801 17 halfe halfe NN A52264 801 18 that that WDT A52264 801 19 arch arch VBP A52264 801 20 , , , A52264 801 21 and and CC A52264 801 22 the the DT A52264 801 23 Sine Sine NNP A52264 801 24 complement complement NN A52264 801 25 of of IN A52264 801 26 the the DT A52264 801 27 same same JJ A52264 801 28 half half NN A52264 801 29 . . . A52264 802 1 In in IN A52264 802 2 the the DT A52264 802 3 annexed annex VBN A52264 802 4 Diagram Diagram NNP A52264 802 5 , , , A52264 802 6 let let VB A52264 802 7 DE DE NNP A52264 802 8 be be VB A52264 802 9 the the DT A52264 802 10 sine sine NN A52264 802 11 of of IN A52264 802 12 56 56 CD A52264 802 13 degrees degree NNS A52264 802 14 , , , A52264 802 15 BC BC NNP A52264 802 16 the the DT A52264 802 17 sine sine NN A52264 802 18 of of IN A52264 802 19 28 28 CD A52264 802 20 , , , A52264 802 21 AC AC NNP A52264 802 22 the the DT A52264 802 23 sine sine JJ A52264 802 24 complement complement NN A52264 802 25 thereof thereof RB A52264 802 26 , , , A52264 802 27 that that RB A52264 802 28 is is RB A52264 802 29 , , , A52264 802 30 of of IN A52264 802 31 62 62 CD A52264 802 32 . . . A52264 803 1 DB DB NNP A52264 803 2 the the DT A52264 803 3 subtense subtense NN A52264 803 4 of of IN A52264 803 5 56 56 CD A52264 803 6 . . . A52264 804 1 CF CF NNP A52264 804 2 perpendicular perpendicular JJ A52264 804 3 to to IN A52264 804 4 the the DT A52264 804 5 Radius Radius NNP A52264 804 6 , , , A52264 804 7 then then RB A52264 804 8 are be VBP A52264 804 9 ABC ABC NNP A52264 804 10 and and CC A52264 804 11 ACF ACF NNP A52264 804 12 like like IN A52264 804 13 triangles triangle NNS A52264 804 14 , , , A52264 804 15 by by IN A52264 804 16 the the DT A52264 804 17 22 22 CD A52264 804 18 of of IN A52264 804 19 the the DT A52264 804 20 second second JJ A52264 804 21 , , , A52264 804 22 and and CC A52264 804 23 their -PRON- PRP$ A52264 804 24 sides side NNS A52264 804 25 proportional proportional JJ A52264 804 26 that that WDT A52264 804 27 is is RB A52264 804 28 , , , A52264 804 29 AB AB NNP A52264 804 30     _SP A52264 804 31 AB AB NNP A52264 804 32 BC BC NNP A52264 804 33     _SP A52264 804 34 AO AO NNP A52264 804 35             _SP A52264 804 36 AC AC NNP A52264 804 37     _SP A52264 804 38 DE DE NNP A52264 804 39 CF CF NNP A52264 804 40     _SP A52264 804 41 CF CF NNP A52264 804 42 And and CC A52264 804 43 therefore therefore RB A52264 804 44 the the DT A52264 804 45 oblongs oblong NNS A52264 804 46 of of IN A52264 804 47 BC×AC BC×AC NNP A52264 804 48 , , , A52264 804 49 AO AO NNP A52264 804 50 × × NN A52264 804 51 DE DE NNP A52264 804 52 , , , A52264 804 53 and and CC A52264 804 54 AB AB NNP A52264 804 55 × × NN A52264 804 56 CF cf NN A52264 804 57 are be VBP A52264 804 58 equal equal JJ A52264 804 59 , , , A52264 804 60 and and CC A52264 804 61 the the DT A52264 804 62 sides side NNS A52264 804 63 of of IN A52264 804 64 equal equal JJ A52264 804 65 rectangled rectangle VBN A52264 804 66 figures figure NNS A52264 804 67 reciprocally reciprocally RB A52264 804 68 proportional proportional JJ A52264 804 69 , , , A52264 804 70 that that RB A52264 804 71 is is RB A52264 804 72 , , , A52264 804 73 as as IN A52264 804 74 BC BC NNP A52264 804 75 , , , A52264 804 76 AO AO NNP A52264 804 77 ∷ ∷ NNP A52264 804 78 DE DE NNP A52264 804 79 , , , A52264 804 80 AC AC NNP A52264 804 81 . . . A52264 805 1 or or CC A52264 805 2 as as IN A52264 805 3 AO AO NNP A52264 805 4 , , , A52264 805 5 BC BC NNP A52264 805 6 ∷ ∷ NNP A52264 805 7 AC AC NNP A52264 805 8 , , , A52264 805 9 DE DE NNP A52264 805 10 . . . A52264 806 1 If if IN A52264 806 2 therefore therefore RB A52264 806 3 you -PRON- PRP A52264 806 4 multiply multiply VBP A52264 806 5 AO AO NNP A52264 806 6 , , , A52264 806 7 the the DT A52264 806 8 half half NN A52264 806 9 Radius Radius NNP A52264 806 10 , , , A52264 806 11 by by IN A52264 806 12 DE DE NNP A52264 806 13 , , , A52264 806 14 the the DT A52264 806 15 sine sine NN A52264 806 16 of of IN A52264 806 17 the the DT A52264 806 18 arch arch NN A52264 806 19 given give VBN A52264 806 20 , , , A52264 806 21 and and CC A52264 806 22 divide divide VB A52264 806 23 the the DT A52264 806 24 product product NN A52264 806 25 by by IN A52264 806 26 BC BC NNP A52264 806 27 , , , A52264 806 28 the the DT A52264 806 29 sine sine NN A52264 806 30 of of IN A52264 806 31 half half PDT A52264 806 32 the the DT A52264 806 33 arch arch NN A52264 806 34 given give VBN A52264 806 35 , , , A52264 806 36 the the DT A52264 806 37 quotient quotient NN A52264 806 38 shall shall MD A52264 806 39 be be VB A52264 806 40 AC AC NNP A52264 806 41 , , , A52264 806 42 the the DT A52264 806 43 sine sine JJ A52264 806 44 complement complement NN A52264 806 45 of of IN A52264 806 46 half half PDT A52264 806 47 the the DT A52264 806 48 given give VBN A52264 806 49 arch arch NN A52264 806 50 . . . A52264 807 1 Or or CC A52264 807 2 if if IN A52264 807 3 you -PRON- PRP A52264 807 4 multiply multiply VBP A52264 807 5 BC BC NNP A52264 807 6 , , , A52264 807 7 the the DT A52264 807 8 sine sine NN A52264 807 9 of of IN A52264 807 10 an an DT A52264 807 11 arch arch NN A52264 807 12 by by IN A52264 807 13 AC AC NNP A52264 807 14 , , , A52264 807 15 the the DT A52264 807 16 sine sine JJ A52264 807 17 complement complement NN A52264 807 18 of of IN A52264 807 19 the the DT A52264 807 20 same same JJ A52264 807 21 arch arch NN A52264 807 22 , , , A52264 807 23 and and CC A52264 807 24 divide divide VB A52264 807 25 the the DT A52264 807 26 product product NN A52264 807 27 by by IN A52264 807 28 AO AO NNP A52264 807 29 , , , A52264 807 30 the the DT A52264 807 31 half half NN A52264 807 32 Radius Radius NNP A52264 807 33 , , , A52264 807 34 the the DT A52264 807 35 quotient quotient NN A52264 807 36 shall shall MD A52264 807 37 be be VB A52264 807 38 DE DE NNP A52264 807 39 , , , A52264 807 40 the the DT A52264 807 41 sine sine NN A52264 807 42 of of IN A52264 807 43 the the DT A52264 807 44 double double JJ A52264 807 45 arch arch NN A52264 807 46 . . . A52264 808 1 And and CC A52264 808 2 therefore therefore RB A52264 808 3 the the DT A52264 808 4 sines sine NNS A52264 808 5 of of IN A52264 808 6 45 45 CD A52264 808 7 degrees degree NNS A52264 808 8 being be VBG A52264 808 9 given give VBN A52264 808 10 , , , A52264 808 11 or or CC A52264 808 12 the the DT A52264 808 13 Logarithmes logarithme NNS A52264 808 14 of of IN A52264 808 15 those those DT A52264 808 16 sines sine NNS A52264 808 17 , , , A52264 808 18 the the DT A52264 808 19 rest rest NN A52264 808 20 may may MD A52264 808 21 be be VB A52264 808 22 found find VBN A52264 808 23 by by IN A52264 808 24 the the DT A52264 808 25 rule rule NN A52264 808 26 of of IN A52264 808 27 proportion proportion NN A52264 808 28 . . . A52264 809 1 For for IN A52264 809 2 illustration illustration NN A52264 809 3 sake sake NN A52264 809 4 we -PRON- PRP A52264 809 5 will will MD A52264 809 6 adde adde VB A52264 809 7 an an DT A52264 809 8 example example NN A52264 809 9 in in IN A52264 809 10 naturall naturall NNP A52264 809 11 and and CC A52264 809 12 artificiall artificiall NNP A52264 809 13 numbers number NNS A52264 809 14 . . . A52264 810 1 Naturall Naturall NNP A52264 810 2 , , , A52264 810 3 As as IN A52264 810 4 BC BC NNP A52264 810 5 28 28 CD A52264 810 6 , , , A52264 810 7 46947 46947 CD A52264 810 8 Is be VBZ A52264 810 9 to to IN A52264 810 10 AO AO NNP A52264 810 11 30 30 CD A52264 810 12 ; ; : A52264 810 13 50000 50000 CD A52264 810 14 So so RB A52264 810 15 is be VBZ A52264 810 16 DE DE NNP A52264 810 17 56 56 CD A52264 810 18 , , , A52264 810 19 82903 82903 CD A52264 810 20 To to IN A52264 810 21 AC AC NNP A52264 810 22 62 62 CD A52264 810 23 : : : A52264 810 24 88294 88294 CD A52264 810 25 Logarith Logarith NNP A52264 810 26 . . . A52264 811 1 As as IN A52264 811 2 BC BC NNP A52264 811 3 28 28 CD A52264 811 4 , , , A52264 811 5 9.671609 9.671609 CD A52264 811 6         _SP A52264 811 7 Is be VBZ A52264 811 8 to to IN A52264 811 9 AO AO NNP A52264 811 10 30 30 CD A52264 811 11 ; ; : A52264 811 12 9.698970 9.698970 CD A52264 811 13 So so RB A52264 811 14 is be VBZ A52264 811 15 DE DE NNP A52264 811 16 56 56 CD A52264 811 17 , , , A52264 811 18 9.918574 9.918574 CD A52264 811 19         _SP A52264 811 20 To to IN A52264 811 21 AC AC NNP A52264 811 22 62 62 CD A52264 811 23 . . . A52264 812 1 9.945935 9.945935 CD A52264 812 2 18 18 CD A52264 812 3 . . . A52264 813 1 § § ADD A52264 813 2 . . . A52264 814 1 The the DT A52264 814 2 composition composition NN A52264 814 3 of of IN A52264 814 4 the the DT A52264 814 5 naturall naturall NN A52264 814 6 Tangents Tangents NNP A52264 814 7 and and CC A52264 814 8 Secants Secants NNPS A52264 814 9 , , , A52264 814 10 by by IN A52264 814 11 the the DT A52264 814 12 first first JJ A52264 814 13 and and CC A52264 814 14 second second JJ A52264 814 15 of of IN A52264 814 16 the the DT A52264 814 17 fourth fourth JJ A52264 814 18 are be VBP A52264 814 19 thus thus RB A52264 814 20 to to TO A52264 814 21 be be VB A52264 814 22 made make VBN A52264 814 23 . . . A52264 815 1 1 1 LS A52264 815 2 . . . A52264 816 1 As as IN A52264 816 2 the the DT A52264 816 3 sine sine NN A52264 816 4 of of IN A52264 816 5 the the DT A52264 816 6 complement complement NN A52264 816 7 , , , A52264 816 8 is be VBZ A52264 816 9 to to IN A52264 816 10 the the DT A52264 816 11 sine sine NN A52264 816 12 of of IN A52264 816 13 an an DT A52264 816 14 arch arch NN A52264 816 15 : : : A52264 816 16 So so RB A52264 816 17 is be VBZ A52264 816 18 the the DT A52264 816 19 Radius Radius NNP A52264 816 20 , , , A52264 816 21 to to IN A52264 816 22 the the DT A52264 816 23 tangent tangent NN A52264 816 24 of of IN A52264 816 25 that that DT A52264 816 26 arch arch NN A52264 816 27 . . . A52264 817 1 2 2 LS A52264 817 2 . . . A52264 818 1 As as IN A52264 818 2 the the DT A52264 818 3 sine sine NN A52264 818 4 of of IN A52264 818 5 the the DT A52264 818 6 complement complement NN A52264 818 7 , , , A52264 818 8 is be VBZ A52264 818 9 to to IN A52264 818 10 the the DT A52264 818 11 Radius radius NN A52264 818 12 : : : A52264 818 13 so so RB A52264 818 14 is be VBZ A52264 818 15 the the DT A52264 818 16 Radius Radius NNP A52264 818 17 , , , A52264 818 18 to to IN A52264 818 19 the the DT A52264 818 20 Secant Secant NNP A52264 818 21 of of IN A52264 818 22 that that DT A52264 818 23 arch arch NN A52264 818 24 ; ; : A52264 818 25 and and CC A52264 818 26 by by IN A52264 818 27 the the DT A52264 818 28 same same JJ A52264 818 29 rules rule NNS A52264 818 30 may may MD A52264 818 31 be be VB A52264 818 32 also also RB A52264 818 33 made make VBN A52264 818 34 the the DT A52264 818 35 artificiall artificiall NN A52264 818 36 ; ; : A52264 818 37 but but CC A52264 818 38 with with IN A52264 818 39 more more JJR A52264 818 40 ease ease NN A52264 818 41 , , , A52264 818 42 as as IN A52264 818 43 by by IN A52264 818 44 example example NN A52264 818 45 it -PRON- PRP A52264 818 46 will will MD A52264 818 47 appear appear VB A52264 818 48 . . . A52264 819 1 Let let VB A52264 819 2 the the DT A52264 819 3 tangent tangent NN A52264 819 4 of of IN A52264 819 5 30 30 CD A52264 819 6 degrees degree NNS A52264 819 7 be be VB A52264 819 8 sought seek VBN A52264 819 9 . . . A52264 820 1 Logarith Logarith NNP A52264 820 2 . . . A52264 821 1 As as IN A52264 821 2 the the DT A52264 821 3 co co NN A52264 821 4 - - NN A52264 821 5 sine sine NN A52264 821 6 of of IN A52264 821 7 60 60 CD A52264 821 8 degrees degree NNS A52264 821 9 , , , A52264 821 10 9.937531 9.937531 CD A52264 821 11         _SP A52264 821 12 Is be VBZ A52264 821 13 to to IN A52264 821 14 the the DT A52264 821 15 sine sine NN A52264 821 16 of of IN A52264 821 17 30 30 CD A52264 821 18 ; ; : A52264 821 19 9.698970 9.698970 CD A52264 821 20 So so RB A52264 821 21 is be VBZ A52264 821 22 the the DT A52264 821 23 Radius Radius NNP A52264 821 24 , , , A52264 821 25 10.000000 10.000000 CD A52264 821 26         _SP A52264 821 27 To to IN A52264 821 28 the the DT A52264 821 29 tangent tangent NN A52264 821 30 of of IN A52264 821 31 30 30 CD A52264 821 32 : : SYM A52264 821 33 9.761439 9.761439 CD A52264 821 34 And and CC A52264 821 35 thus thus RB A52264 821 36 having have VBG A52264 821 37 made make VBN A52264 821 38 the the DT A52264 821 39 artificiall artificiall NN A52264 821 40 Tangents tangent NNS A52264 821 41 of of IN A52264 821 42 45 45 CD A52264 821 43 degrees degree NNS A52264 821 44 , , , A52264 821 45 the the DT A52264 821 46 other other JJ A52264 821 47 45 45 CD A52264 821 48 are be VBP A52264 821 49 but but IN A52264 821 50 the the DT A52264 821 51 arithmeticall arithmeticall NN A52264 821 52 complements complement NNS A52264 821 53 of of IN A52264 821 54 the the DT A52264 821 55 former former JJ A52264 821 56 , , , A52264 821 57 taken take VBN A52264 821 58 as as IN A52264 821 59 hath hath NNP A52264 821 60 been be VBN A52264 821 61 shewed shew VBN A52264 821 62 in in IN A52264 821 63 the the DT A52264 821 64 eighth eighth JJ A52264 821 65 rule rule NN A52264 821 66 of of IN A52264 821 67 the the DT A52264 821 68 fifth fifth JJ A52264 821 69 Chapter chapter NN A52264 821 70 . . . A52264 822 1 Again again RB A52264 822 2 , , , A52264 822 3 let let VB A52264 822 4 the the DT A52264 822 5 secant secant NN A52264 822 6 of of IN A52264 822 7 30 30 CD A52264 822 8 degrees degree NNS A52264 822 9 be be VB A52264 822 10 sought seek VBN A52264 822 11 . . . A52264 823 1 As as IN A52264 823 2 the the DT A52264 823 3 co co NN A52264 823 4 - - NN A52264 823 5 sine sine NN A52264 823 6 of of IN A52264 823 7 60 60 CD A52264 823 8 degrees degree NNS A52264 823 9 , , , A52264 823 10 9.937531 9.937531 CD A52264 823 11         _SP A52264 823 12 Is be VBZ A52264 823 13 to to IN A52264 823 14 the the DT A52264 823 15 Radius Radius NNP A52264 823 16 , , , A52264 823 17 10.000000 10.000000 CD A52264 823 18 So so RB A52264 823 19 is be VBZ A52264 823 20 the the DT A52264 823 21 Radius Radius NNP A52264 823 22 , , , A52264 823 23 10.000000 10.000000 CD A52264 823 24             _SP A52264 823 25 20.000000 20.000000 CD A52264 823 26         _SP A52264 823 27 To to IN A52264 823 28 the the DT A52264 823 29 secant secant NN A52264 823 30 of of IN A52264 823 31 30 30 CD A52264 823 32 : : SYM A52264 823 33 10.062469 10.062469 CD A52264 823 34 And and CC A52264 823 35 thus thus RB A52264 823 36 the the DT A52264 823 37 Radius Radius NNP A52264 823 38 being be VBG A52264 823 39 added add VBN A52264 823 40 to to IN A52264 823 41 the the DT A52264 823 42 arithmetical arithmetical JJ A52264 823 43 complement complement NN A52264 823 44 of of IN A52264 823 45 the the DT A52264 823 46 sine sine NN A52264 823 47 of of IN A52264 823 48 an an DT A52264 823 49 arch arch NN A52264 823 50 , , , A52264 823 51 their -PRON- PRP$ A52264 823 52 aggregate aggregate NN A52264 823 53 is be VBZ A52264 823 54 the the DT A52264 823 55 secant secant NN A52264 823 56 of of IN A52264 823 57 the the DT A52264 823 58 complement complement NN A52264 823 59 of of IN A52264 823 60 that that DT A52264 823 61 arch arch NN A52264 823 62 . . . A52264 824 1 And and CC A52264 824 2 this this DT A52264 824 3 is be VBZ A52264 824 4 sufficient sufficient JJ A52264 824 5 for for IN A52264 824 6 the the DT A52264 824 7 construction construction NN A52264 824 8 of of IN A52264 824 9 the the DT A52264 824 10 naturall naturall NN A52264 824 11 and and CC A52264 824 12 artificiall artificiall NNP A52264 824 13 Canon Canon NNP A52264 824 14 . . . A52264 825 1 How how WRB A52264 825 2 to to TO A52264 825 3 finde finde VB A52264 825 4 the the DT A52264 825 5 Sine Sine NNP A52264 825 6 , , , A52264 825 7 Tangent Tangent NNP A52264 825 8 or or CC A52264 825 9 Secant Secant NNP A52264 825 10 of of IN A52264 825 11 any any DT A52264 825 12 arch arch NN A52264 825 13 given give VBN A52264 825 14 in in IN A52264 825 15 the the DT A52264 825 16 Canon Canon NNP A52264 825 17 herewith herewith NN A52264 825 18 printed print VBN A52264 825 19 , , , A52264 825 20 shall shall MD A52264 825 21 be be VB A52264 825 22 shewen shewen VBN A52264 825 23 in in IN A52264 825 24 the the DT A52264 825 25 Preface Preface NNP A52264 825 26 thereunto thereunto NNS A52264 825 27 : : : A52264 825 28 here here RB A52264 825 29 followeth followeth NNP A52264 825 30 the the DT A52264 825 31 use use NN A52264 825 32 of of IN A52264 825 33 the the DT A52264 825 34 naturall naturall NN A52264 825 35 and and CC A52264 825 36 artificiall artificiall NNP A52264 825 37 numbers number NNS A52264 825 38 both both DT A52264 825 39 ; ; : A52264 825 40 first first RB A52264 825 41 , , , A52264 825 42 in in IN A52264 825 43 the the DT A52264 825 44 resolving resolve VBG A52264 825 45 any any DT A52264 825 46 Triangle Triangle NNP A52264 825 47 , , , A52264 825 48 and and CC A52264 825 49 then then RB A52264 825 50 in in IN A52264 825 51 Astronomy Astronomy NNP A52264 825 52 , , , A52264 825 53 Dialling Dialling NNP A52264 825 54 , , , A52264 825 55 and and CC A52264 825 56 Navigation Navigation NNP A52264 825 57 . . . A52264 826 1 CHAP CHAP NNP A52264 826 2 . . . A52264 827 1 VI VI NNP A52264 827 2 . . . A52264 828 1 The the DT A52264 828 2 use use NN A52264 828 3 of of IN A52264 828 4 the the DT A52264 828 5 Tables Tables NNPS A52264 828 6 of of IN A52264 828 7 natural natural JJ A52264 828 8 and and CC A52264 828 9 artificial artificial JJ A52264 828 10 Sines Sines NNPS A52264 828 11 , , , A52264 828 12 and and CC A52264 828 13 Tangents Tangents NNP A52264 828 14 , , , A52264 828 15 and and CC A52264 828 16 the the DT A52264 828 17 Table table NN A52264 828 18 of of IN A52264 828 19 Logarithmes logarithme NNS A52264 828 20 . . . A52264 829 1 In in IN A52264 829 2 the the DT A52264 829 3 Dimension dimension NN A52264 829 4 I. i. NN A52264 830 1 Of of IN A52264 830 2 plain plain RB A52264 830 3 right right RB A52264 830 4 angled angle VBN A52264 830 5 Triangles triangle NNS A52264 830 6 . . . A52264 831 1 THe the DT A52264 831 2 measuring measure VBG A52264 831 3 or or CC A52264 831 4 resolving resolving NN A52264 831 5 of of IN A52264 831 6 Triangles Triangles NNP A52264 831 7 is be VBZ A52264 831 8 the the DT A52264 831 9 finding finding NN A52264 831 10 out out IN A52264 831 11 of of IN A52264 831 12 the the DT A52264 831 13 unknown unknown JJ A52264 831 14 sides side NNS A52264 831 15 or or CC A52264 831 16 angles angle NNS A52264 831 17 thereof thereof RB A52264 831 18 by by IN A52264 831 19 three three CD A52264 831 20 things thing NNS A52264 831 21 known know VBN A52264 831 22 , , , A52264 831 23 whether whether IN A52264 831 24 angles angle NNS A52264 831 25 , , , A52264 831 26 or or CC A52264 831 27 sides side NNS A52264 831 28 , , , A52264 831 29 or or CC A52264 831 30 both both DT A52264 831 31 ; ; : A52264 831 32 and and CC A52264 831 33 this this DT A52264 831 34 by by IN A52264 831 35 the the DT A52264 831 36 help help NN A52264 831 37 of of IN A52264 831 38 that that DT A52264 831 39 precious precious JJ A52264 831 40 gemme gemme NNS A52264 831 41 in in IN A52264 831 42 Arithmetick Arithmetick NNP A52264 831 43 , , , A52264 831 44 for for IN A52264 831 45 the the DT A52264 831 46 excellency excellency NN A52264 831 47 thereof thereof RB A52264 831 48 called call VBD A52264 831 49 the the DT A52264 831 50 Golden Golden NNP A52264 831 51 Rule Rule NNP A52264 831 52 , , , A52264 831 53 ( ( -LRB- A52264 831 54 which which WDT A52264 831 55 teacheth teacheth NNP A52264 831 56 of of IN A52264 831 57 four four CD A52264 831 58 numbers number NNS A52264 831 59 proportional proportional JJ A52264 831 60 one one CD A52264 831 61 to to IN A52264 831 62 another another DT A52264 831 63 , , , A52264 831 64 any any DT A52264 831 65 three three CD A52264 831 66 of of IN A52264 831 67 them -PRON- PRP A52264 831 68 being be VBG A52264 831 69 given give VBN A52264 831 70 , , , A52264 831 71 to to TO A52264 831 72 finde finde VB A52264 831 73 out out RP A52264 831 74 a a DT A52264 831 75 fourth fourth JJ A52264 831 76 ) ) -RRB- A52264 831 77 and and CC A52264 831 78 also also RB A52264 831 79 of of IN A52264 831 80 these these DT A52264 831 81 Tables table NNS A52264 831 82 aforesaid aforesaid VBD A52264 831 83 . . . A52264 832 1 Of of IN A52264 832 2 Triangles Triangles NNPS A52264 832 3 , , , A52264 832 4 as as IN A52264 832 5 hath hath NNP A52264 832 6 been be VBN A52264 832 7 said say VBN A52264 832 8 , , , A52264 832 9 there there EX A52264 832 10 are be VBP A52264 832 11 two two CD A52264 832 12 sorts sort NNS A52264 832 13 ; ; : A52264 832 14 plain plain JJ A52264 832 15 and and CC A52264 832 16 sphericall sphericall NN A52264 832 17 . . . A52264 833 1 A a DT A52264 833 2 triangle triangle NN A52264 833 3 upon upon IN A52264 833 4 a a DT A52264 833 5 plain plain NN A52264 833 6 is be VBZ A52264 833 7 right right RB A52264 833 8 lined line VBN A52264 833 9 , , , A52264 833 10 upon upon IN A52264 833 11 the the DT A52264 833 12 Sphere Sphere NNP A52264 833 13 circular circular JJ A52264 833 14 . . . A52264 834 1 Right right RB A52264 834 2 lined line VBD A52264 834 3 Triangles triangle NNS A52264 834 4 are be VBP A52264 834 5 right right RB A52264 834 6 angled angled JJ A52264 834 7 or or CC A52264 834 8 oblique oblique JJ A52264 834 9 . . . A52264 835 1 A a DT A52264 835 2 right right NN A52264 835 3 angled angle VBN A52264 835 4 , , , A52264 835 5 right right RB A52264 835 6 - - HYPH A52264 835 7 lined line VBN A52264 835 8 Triangle Triangle NNP A52264 835 9 we -PRON- PRP A52264 835 10 speak speak VBP A52264 835 11 of of IN A52264 835 12 first first RB A52264 835 13 , , , A52264 835 14 whose whose WP$ A52264 835 15 sides side NNS A52264 835 16 then then RB A52264 835 17 related relate VBD A52264 835 18 to to IN A52264 835 19 a a DT A52264 835 20 circle circle NN A52264 835 21 are be VBP A52264 835 22 inscribed inscribe VBN A52264 835 23 totally totally RB A52264 835 24 or or CC A52264 835 25 partially partially RB A52264 835 26 . . . A52264 836 1 Totally totally RB A52264 836 2 , , , A52264 836 3 if if IN A52264 836 4 the the DT A52264 836 5 side side NN A52264 836 6 subtending subtend VBG A52264 836 7 the the DT A52264 836 8 right right JJ A52264 836 9 angle angle NN A52264 836 10 be be VB A52264 836 11 made make VBN A52264 836 12 the the DT A52264 836 13 Radius Radius NNP A52264 836 14 of of IN A52264 836 15 a a DT A52264 836 16 Circle Circle NNP A52264 836 17 , , , A52264 836 18 and and CC A52264 836 19 then then RB A52264 836 20 all all PDT A52264 836 21 the the DT A52264 836 22 sides side NNS A52264 836 23 are be VBP A52264 836 24 called call VBN A52264 836 25 Sines Sines NNP A52264 836 26 , , , A52264 836 27 as as IN A52264 836 28 in in IN A52264 836 29 the the DT A52264 836 30 Triangle Triangle NNP A52264 836 31 ABC ABC NNP A52264 836 32 . . . A52264 837 1 Partially partially RB A52264 837 2 , , , A52264 837 3 if if IN A52264 837 4 either either DT A52264 837 5 of of IN A52264 837 6 the the DT A52264 837 7 sides side NNS A52264 837 8 adjacent adjacent JJ A52264 837 9 to to IN A52264 837 10 the the DT A52264 837 11 right right JJ A52264 837 12 angle angle NN A52264 837 13 be be VB A52264 837 14 made make VBN A52264 837 15 the the DT A52264 837 16 Radius Radius NNP A52264 837 17 of of IN A52264 837 18 a a DT A52264 837 19 circle circle NN A52264 837 20 , , , A52264 837 21 and and CC A52264 837 22 then then RB A52264 837 23 one one CD A52264 837 24 side side NN A52264 837 25 of of IN A52264 837 26 the the DT A52264 837 27 Triangle Triangle NNP A52264 837 28 is be VBZ A52264 837 29 the the DT A52264 837 30 Radius Radius NNP A52264 837 31 or or CC A52264 837 32 whole whole JJ A52264 837 33 Sine Sine NNP A52264 837 34 , , , A52264 837 35 the the DT A52264 837 36 shorter short JJR A52264 837 37 of of IN A52264 837 38 the the DT A52264 837 39 other other JJ A52264 837 40 two two CD A52264 837 41 sides side NNS A52264 837 42 is be VBZ A52264 837 43 a a DT A52264 837 44 Tangent Tangent NNP A52264 837 45 , , , A52264 837 46 and and CC A52264 837 47 the the DT A52264 837 48 longest long JJS A52264 837 49 a a DT A52264 837 50 secant secant NN A52264 837 51 . . . A52264 838 1 Now now RB A52264 838 2 according accord VBG A52264 838 3 as as IN A52264 838 4 the the DT A52264 838 5 right right NN A52264 838 6 angled angle VBN A52264 838 7 Triangle Triangle NNP A52264 838 8 is be VBZ A52264 838 9 supposed suppose VBN A52264 838 10 , , , A52264 838 11 whether whether IN A52264 838 12 to to TO A52264 838 13 be be VB A52264 838 14 totally totally RB A52264 838 15 or or CC A52264 838 16 but but CC A52264 838 17 partially partially RB A52264 838 18 inscribed inscribe VBN A52264 838 19 in in IN A52264 838 20 a a DT A52264 838 21 circle circle NN A52264 838 22 ; ; : A52264 838 23 so so RB A52264 838 24 is be VBZ A52264 838 25 the the DT A52264 838 26 trouble trouble NN A52264 838 27 of of IN A52264 838 28 finding find VBG A52264 838 29 the the DT A52264 838 30 parts part NNS A52264 838 31 unknown unknown JJ A52264 838 32 more more RBR A52264 838 33 or or CC A52264 838 34 lesse lesse NNP A52264 838 35 , , , A52264 838 36 whether whether IN A52264 838 37 sides side NNS A52264 838 38 or or CC A52264 838 39 angles angle NNS A52264 838 40 ; ; : A52264 838 41 for for CC A52264 838 42 if if IN A52264 838 43 the the DT A52264 838 44 triangle triangle NN A52264 838 45 be be VB A52264 838 46 supposed suppose VBN A52264 838 47 to to TO A52264 838 48 be be VB A52264 838 49 totally totally RB A52264 838 50 inscribed inscribe VBN A52264 838 51 in in IN A52264 838 52 a a DT A52264 838 53 circle circle NN A52264 838 54 , , , A52264 838 55 we -PRON- PRP A52264 838 56 are be VBP A52264 838 57 in in IN A52264 838 58 the the DT A52264 838 59 solution solution NN A52264 838 60 thereof thereof RB A52264 838 61 confined confine VBD A52264 838 62 to to IN A52264 838 63 the the DT A52264 838 64 Table Table NNP A52264 838 65 of of IN A52264 838 66 Sines Sines NNPS A52264 838 67 onely onely RB A52264 838 68 , , , A52264 838 69 because because IN A52264 838 70 all all PDT A52264 838 71 the the DT A52264 838 72 sides side NNS A52264 838 73 of of IN A52264 838 74 such such PDT A52264 838 75 a a DT A52264 838 76 triangle triangle NN A52264 838 77 are be VBP A52264 838 78 sines sine NNS A52264 838 79 : : : A52264 838 80 but but CC A52264 838 81 if if IN A52264 838 82 the the DT A52264 838 83 triangle triangle NN A52264 838 84 be be VB A52264 838 85 supposed suppose VBN A52264 838 86 to to TO A52264 838 87 be be VB A52264 838 88 but but CC A52264 838 89 partially partially RB A52264 838 90 inscribed inscribe VBN A52264 838 91 in in IN A52264 838 92 a a DT A52264 838 93 circle circle NN A52264 838 94 , , , A52264 838 95 we -PRON- PRP A52264 838 96 are be VBP A52264 838 97 left leave VBN A52264 838 98 at at IN A52264 838 99 liberty liberty NN A52264 838 100 to to TO A52264 838 101 use use VB A52264 838 102 the the DT A52264 838 103 Table table NN A52264 838 104 of of IN A52264 838 105 Sines Sines NNPS A52264 838 106 , , , A52264 838 107 Tangents Tangents NNP A52264 838 108 , , , A52264 838 109 or or CC A52264 838 110 Secants Secants NNPS A52264 838 111 , , , A52264 838 112 as as IN A52264 838 113 we -PRON- PRP A52264 838 114 shall shall MD A52264 838 115 finde finde VB A52264 838 116 to to TO A52264 838 117 be be VB A52264 838 118 most most RBS A52264 838 119 convenient convenient JJ A52264 838 120 for for IN A52264 838 121 the the DT A52264 838 122 work work NN A52264 838 123 . . . A52264 839 1 In in IN A52264 839 2 a a DT A52264 839 3 right right NN A52264 839 4 angled angle VBN A52264 839 5 plain plain JJ A52264 839 6 Triangle Triangle NNP A52264 839 7 , , , A52264 839 8 either either CC A52264 839 9 all all PDT A52264 839 10 the the DT A52264 839 11 angles angle NNS A52264 839 12 with with IN A52264 839 13 one one CD A52264 839 14 side side NN A52264 839 15 are be VBP A52264 839 16 given give VBN A52264 839 17 , , , A52264 839 18 and and CC A52264 839 19 the the DT A52264 839 20 other other JJ A52264 839 21 two two CD A52264 839 22 sides side NNS A52264 839 23 are be VBP A52264 839 24 demanded demand VBN A52264 839 25 , , , A52264 839 26 I -PRON- PRP A52264 839 27 say say VBP A52264 839 28 , , , A52264 839 29 all all PDT A52264 839 30 the the DT A52264 839 31 angles angle NNS A52264 839 32 , , , A52264 839 33 because because IN A52264 839 34 one one CD A52264 839 35 of of IN A52264 839 36 the the DT A52264 839 37 acute acute JJ A52264 839 38 angles angle NNS A52264 839 39 being be VBG A52264 839 40 given give VBN A52264 839 41 , , , A52264 839 42 the the DT A52264 839 43 other other JJ A52264 839 44 is be VBZ A52264 839 45 given give VBN A52264 839 46 also also RB A52264 839 47 by by IN A52264 839 48 con con XX A52264 839 49 ● ● NNP A52264 839 50 ● ● CD A52264 839 51 quence quence NN A52264 839 52 . . . A52264 840 1 Or or CC A52264 840 2 else else RB A52264 840 3 two two CD A52264 840 4 sides side NNS A52264 840 5 with with IN A52264 840 6 one one CD A52264 840 7 angle angle NN A52264 840 8 , , , A52264 840 9 that that RB A52264 840 10 is is RB A52264 840 11 , , , A52264 840 12 the the DT A52264 840 13 right right JJ A52264 840 14 angle angle NN A52264 840 15 are be VBP A52264 840 16 given give VBN A52264 840 17 and and CC A52264 840 18 the the DT A52264 840 19 other other JJ A52264 840 20 two two CD A52264 840 21 angles angle NNS A52264 840 22 with with IN A52264 840 23 the the DT A52264 840 24 third third JJ A52264 840 25 side side NN A52264 840 26 are be VBP A52264 840 27 demanded demand VBN A52264 840 28 . . . A52264 841 1 In in IN A52264 841 2 both both DT A52264 841 3 which which WDT A52264 841 4 cases case VBZ A52264 841 5 this this DT A52264 841 6 Axiome Axiome NNP A52264 841 7 following follow VBG A52264 841 8 is be VBZ A52264 841 9 well well RB A52264 841 10 nigh nigh NNP A52264 841 11 sufficient sufficient JJ A52264 841 12 . . . A52264 842 1 The the DT A52264 842 2 first first JJ A52264 842 3 AXIOME axiome NN A52264 842 4 . . . A52264 843 1 In in IN A52264 843 2 all all DT A52264 843 3 plain plain JJ A52264 843 4 Triangles Triangles NNPS A52264 843 5 , , , A52264 843 6 the the DT A52264 843 7 sides side NNS A52264 843 8 are be VBP A52264 843 9 in in IN A52264 843 10 portion portion NN A52264 843 11 one one CD A52264 843 12 to to IN A52264 843 13 another another DT A52264 843 14 , , , A52264 843 15 as as IN A52264 843 16 are be VBP A52264 843 17 the the DT A52264 843 18 sines sine NNS A52264 843 19 o o XX A52264 843 20 ● ● NFP A52264 843 21 the the DT A52264 843 22 angles angle NNS A52264 843 23 opposite opposite JJ A52264 843 24 to to IN A52264 843 25 those those DT A52264 843 26 sides side NNS A52264 843 27 . . . A52264 844 1 As as IN A52264 844 2 in in IN A52264 844 3 the the DT A52264 844 4 triangle triangle NN A52264 844 5 ABC ABC NNP A52264 844 6 , , , A52264 844 7 the the DT A52264 844 8 side side NN A52264 844 9 AB AB NNP A52264 844 10 is be VBZ A52264 844 11 in in IN A52264 844 12 proportion proportion NN A52264 844 13 to to IN A52264 844 14 the the DT A52264 844 15 side side NN A52264 844 16 AC AC NNP A52264 844 17 , , , A52264 844 18 as as IN A52264 844 19 the the DT A52264 844 20 sine sine NN A52264 844 21 of of IN A52264 844 22 the the DT A52264 844 23 angle angle NN A52264 844 24 at at IN A52264 844 25 B b NN A52264 844 26 is be VBZ A52264 844 27 in in IN A52264 844 28 proportion proportion NN A52264 844 29 to to IN A52264 844 30 the the DT A52264 844 31 sine sine NN A52264 844 32 of of IN A52264 844 33 the the DT A52264 844 34 angle angle NN A52264 844 35 at at IN A52264 844 36 c c NNP A52264 844 37 and and CC A52264 844 38 so so RB A52264 844 39 of of IN A52264 844 40 the the DT A52264 844 41 rest rest NN A52264 844 42 . . . A52264 845 1 Demonstration demonstration NN A52264 845 2 . . . A52264 846 1 The the DT A52264 846 2 circle circle NN A52264 846 3 ADF adf NN A52264 846 4 being be VBG A52264 846 5 circumscribed circumscribe VBN A52264 846 6 about about IN A52264 846 7 the the DT A52264 846 8 Triangle Triangle NNP A52264 846 9 ABC ABC NNP A52264 846 10 , , , A52264 846 11 the the DT A52264 846 12 side side NN A52264 846 13 AB AB NNP A52264 846 14 is be VBZ A52264 846 15 made make VBN A52264 846 16 the the DT A52264 846 17 chord chord NN A52264 846 18 or or CC A52264 846 19 subtense subtense NN A52264 846 20 of of IN A52264 846 21 the the DT A52264 846 22 angle angle NN A52264 846 23 ACB ACB NNP A52264 846 24 , , , A52264 846 25 that that RB A52264 846 26 is is RB A52264 846 27 , , , A52264 846 28 of of IN A52264 846 29 the the DT A52264 846 30 arch arch JJ A52264 846 31 AB AB NNP A52264 846 32 , , , A52264 846 33 which which WDT A52264 846 34 is be VBZ A52264 846 35 opposite opposite JJ A52264 846 36 to to IN A52264 846 37 the the DT A52264 846 38 angle angle NN A52264 846 39 ACB ACB NNP A52264 846 40 . . . A52264 847 1 The the DT A52264 847 2 side side NN A52264 847 3 AC AC NNP A52264 847 4 is be VBZ A52264 847 5 made make VBN A52264 847 6 the the DT A52264 847 7 subtense subtense NN A52264 847 8 of of IN A52264 847 9 the the DT A52264 847 10 angle angle NN A52264 847 11 ABC ABC NNP A52264 847 12 ; ; : A52264 847 13 and and CC A52264 847 14 the the DT A52264 847 15 side side NN A52264 847 16 BC BC NNP A52264 847 17 is be VBZ A52264 847 18 made make VBN A52264 847 19 the the DT A52264 847 20 subtense subtense NN A52264 847 21 of of IN A52264 847 22 the the DT A52264 847 23 angle angle NN A52264 847 24 BAC BAC NNP A52264 847 25 , , , A52264 847 26 and and CC A52264 847 27 are be VBP A52264 847 28 the the DT A52264 847 29 double double JJ A52264 847 30 measures measure NNS A52264 847 31 thereof thereof RB A52264 847 32 , , , A52264 847 33 by by IN A52264 847 34 the the DT A52264 847 35 19 19 CD A52264 847 36 Theorem theorem NN A52264 847 37 of of IN A52264 847 38 the the DT A52264 847 39 second second JJ A52264 847 40 Chapter chapter NN A52264 847 41 : : : A52264 847 42 therefore therefore RB A52264 847 43 the the DT A52264 847 44 side side NN A52264 847 45 AB AB NNP A52264 847 46 is be VBZ A52264 847 47 in in IN A52264 847 48 proportion proportion NN A52264 847 49 to to IN A52264 847 50 the the DT A52264 847 51 side side NN A52264 847 52 AC AC NNP A52264 847 53 , , , A52264 847 54 as as IN A52264 847 55 the the DT A52264 847 56 subtense subtense NN A52264 847 57 of of IN A52264 847 58 the the DT A52264 847 59 angle angle NN A52264 847 60 ACB ACB NNP A52264 847 61 is be VBZ A52264 847 62 in in IN A52264 847 63 proportion proportion NN A52264 847 64 to to IN A52264 847 65 the the DT A52264 847 66 subtense subtense NN A52264 847 67 of of IN A52264 847 68 the the DT A52264 847 69 angle angle NN A52264 847 70 ABC ABC NNP A52264 847 71 , , , A52264 847 72 but but CC A52264 847 73 half half PDT A52264 847 74 the the DT A52264 847 75 subtense subtense NN A52264 847 76 of of IN A52264 847 77 the the DT A52264 847 78 angle angle NN A52264 847 79 ACB ACB NNP A52264 847 80 is be VBZ A52264 847 81 the the DT A52264 847 82 sine sine NN A52264 847 83 of of IN A52264 847 84 the the DT A52264 847 85 angle angle NN A52264 847 86 ACB ACB NNP A52264 847 87 , , , A52264 847 88 and and CC A52264 847 89 half half PDT A52264 847 90 the the DT A52264 847 91 subtense subtense NN A52264 847 92 of of IN A52264 847 93 the the DT A52264 847 94 angle angle NN A52264 847 95 ABC ABC NNP A52264 847 96 is be VBZ A52264 847 97 the the DT A52264 847 98 sine sine NN A52264 847 99 of of IN A52264 847 100 the the DT A52264 847 101 angle angle NN A52264 847 102 ABC ABC NNP A52264 847 103 ; ; : A52264 847 104 now now RB A52264 847 105 as as IN A52264 847 106 the the DT A52264 847 107 whole whole NN A52264 847 108 is be VBZ A52264 847 109 to to IN A52264 847 110 the the DT A52264 847 111 whole whole NN A52264 847 112 ; ; : A52264 847 113 so so RB A52264 847 114 is be VBZ A52264 847 115 the the DT A52264 847 116 half half NN A52264 847 117 , , , A52264 847 118 to to IN A52264 847 119 the the DT A52264 847 120 half half NN A52264 847 121 . . . A52264 848 1 Therefore therefore RB A52264 848 2 in in IN A52264 848 3 all all DT A52264 848 4 plain plain JJ A52264 848 5 Triangles Triangles NNPS A52264 848 6 , , , A52264 848 7 & & CC A52264 848 8 c. c. NN A52264 848 9 The the DT A52264 848 10 first first JJ A52264 848 11 Consectary Consectary NNP A52264 848 12 . . . A52264 849 1 The the DT A52264 849 2 angles angle NNS A52264 849 3 of of IN A52264 849 4 a a DT A52264 849 5 plain plain JJ A52264 849 6 triangle triangle NN A52264 849 7 , , , A52264 849 8 and and CC A52264 849 9 one one CD A52264 849 10 side side NN A52264 849 11 being be VBG A52264 849 12 given give VBN A52264 849 13 , , , A52264 849 14 the the DT A52264 849 15 reason reason NN A52264 849 16 of of IN A52264 849 17 the the DT A52264 849 18 other other JJ A52264 849 19 sides side NNS A52264 849 20 is be VBZ A52264 849 21 also also RB A52264 849 22 given give VBN A52264 849 23 . . . A52264 850 1 The the DT A52264 850 2 second second JJ A52264 850 3 Consectary Consectary NNP A52264 850 4 . . . A52264 851 1 Two two CD A52264 851 2 sides side NNS A52264 851 3 of of IN A52264 851 4 a a DT A52264 851 5 plain plain JJ A52264 851 6 Triangle Triangle NNP A52264 851 7 , , , A52264 851 8 with with IN A52264 851 9 an an DT A52264 851 10 angle angle NN A52264 851 11 opposite opposite NN A52264 851 12 to to IN A52264 851 13 one one CD A52264 851 14 of of IN A52264 851 15 them -PRON- PRP A52264 851 16 being be VBG A52264 851 17 given give VBN A52264 851 18 , , , A52264 851 19 the the DT A52264 851 20 reason reason NN A52264 851 21 of of IN A52264 851 22 the the DT A52264 851 23 other other JJ A52264 851 24 angles angle NNS A52264 851 25 is be VBZ A52264 851 26 also also RB A52264 851 27 given give VBN A52264 851 28 , , , A52264 851 29 by by IN A52264 851 30 this this DT A52264 851 31 proportion proportion NN A52264 851 32 . . . A52264 852 1 If if IN A52264 852 2 the the DT A52264 852 3 side side NN A52264 852 4 of of IN A52264 852 5 a a DT A52264 852 6 Triangle Triangle NNP A52264 852 7 be be VB A52264 852 8 required require VBN A52264 852 9 , , , A52264 852 10 put put VB A52264 852 11 the the DT A52264 852 12 angle angle NN A52264 852 13 opposite opposite RB A52264 852 14 to to IN A52264 852 15 the the DT A52264 852 16 given give VBN A52264 852 17 side side NN A52264 852 18 in in IN A52264 852 19 the the DT A52264 852 20 first first JJ A52264 852 21 place place NN A52264 852 22 . . . A52264 853 1 If if IN A52264 853 2 an an DT A52264 853 3 angle angle NN A52264 853 4 be be VB A52264 853 5 sought seek VBN A52264 853 6 , , , A52264 853 7 put put VB A52264 853 8 the the DT A52264 853 9 side side NN A52264 853 10 opposite opposite RB A52264 853 11 to to IN A52264 853 12 the the DT A52264 853 13 given give VBN A52264 853 14 angle angle NN A52264 853 15 in in IN A52264 853 16 the the DT A52264 853 17 first first JJ A52264 853 18 place place NN A52264 853 19 . . . A52264 854 1 For for IN A52264 854 2 the the DT A52264 854 3 better well JJR A52264 854 4 understanding understanding NN A52264 854 5 whereof whereof NN A52264 854 6 we -PRON- PRP A52264 854 7 will will MD A52264 854 8 adde adde VB A52264 854 9 an an DT A52264 854 10 example example NN A52264 854 11 , , , A52264 854 12 and and CC A52264 854 13 to to TO A52264 854 14 distinguish distinguish VB A52264 854 15 the the DT A52264 854 16 sides side NNS A52264 854 17 of of IN A52264 854 18 the the DT A52264 854 19 Triangle Triangle NNP A52264 854 20 , , , A52264 854 21 we -PRON- PRP A52264 854 22 call call VBP A52264 854 23 the the DT A52264 854 24 side side NN A52264 854 25 subtending subtend VBG A52264 854 26 the the DT A52264 854 27 right right JJ A52264 854 28 angle angle NN A52264 854 29 , , , A52264 854 30 the the DT A52264 854 31 Hypothenusall Hypothenusall NNP A52264 854 32 , , , A52264 854 33 and and CC A52264 854 34 of of IN A52264 854 35 the the DT A52264 854 36 other other JJ A52264 854 37 two two CD A52264 854 38 the the DT A52264 854 39 one one NN A52264 854 40 is be VBZ A52264 854 41 called call VBN A52264 854 42 the the DT A52264 854 43 perpendicular perpendicular NN A52264 854 44 , , , A52264 854 45 and and CC A52264 854 46 the the DT A52264 854 47 other other JJ A52264 854 48 the the DT A52264 854 49 base base NN A52264 854 50 , , , A52264 854 51 at at IN A52264 854 52 pleasure pleasure NN A52264 854 53 , , , A52264 854 54 but but CC A52264 854 55 most most JJS A52264 854 56 commonly commonly RB A52264 854 57 the the DT A52264 854 58 shortest short JJS A52264 854 59 is be VBZ A52264 854 60 called call VBN A52264 854 61 the the DT A52264 854 62 perpendicular perpendicular NN A52264 854 63 , , , A52264 854 64 and and CC A52264 854 65 the the DT A52264 854 66 longer long JJR A52264 854 67 the the DT A52264 854 68 base base NN A52264 854 69 . . . A52264 855 1 As as IN A52264 855 2 in in IN A52264 855 3 the the DT A52264 855 4 former former JJ A52264 855 5 figure figure NN A52264 855 6 , , , A52264 855 7 the the DT A52264 855 8 side side NN A52264 855 9 BC BC NNP A52264 855 10 is be VBZ A52264 855 11 the the DT A52264 855 12 Hypothenusal Hypothenusal NNP A52264 855 13 , , , A52264 855 14 AC AC NNP A52264 855 15 the the DT A52264 855 16 base base NN A52264 855 17 , , , A52264 855 18 and and CC A52264 855 19 AB AB NNP A52264 855 20 the the DT A52264 855 21 perpendicular perpendicular NN A52264 855 22 . . . A52264 856 1 Now now RB A52264 856 2 then then RB A52264 856 3 in in IN A52264 856 4 the the DT A52264 856 5 Triangle Triangle NNP A52264 856 6 ABC ABC NNP A52264 856 7 , , , A52264 856 8 let let VB A52264 856 9 there there EX A52264 856 10 be be VB A52264 856 11 given give VBN A52264 856 12 the the DT A52264 856 13 base base NN A52264 856 14 AC AC NNP A52264 856 15 768 768 CD A52264 856 16 paces pace NNS A52264 856 17 , , , A52264 856 18 and and CC A52264 856 19 the the DT A52264 856 20 angle angle NN A52264 856 21 CBA CBA NNP A52264 856 22 67 67 CD A52264 856 23 degrees degree NNS A52264 856 24 , , , A52264 856 25 40 40 CD A52264 856 26 minutes minute NNS A52264 856 27 , , , A52264 856 28 ( ( -LRB- A52264 856 29 then then RB A52264 856 30 the the DT A52264 856 31 angle angle NN A52264 856 32 ACB ACB NNP A52264 856 33 is be VBZ A52264 856 34 also also RB A52264 856 35 known know VBN A52264 856 36 , , , A52264 856 37 it -PRON- PRP A52264 856 38 being be VBG A52264 856 39 the the DT A52264 856 40 complement complement NN A52264 856 41 of of IN A52264 856 42 the the DT A52264 856 43 other other JJ A52264 856 44 ) ) -RRB- A52264 856 45 and and CC A52264 856 46 let let VB A52264 856 47 there there EX A52264 856 48 be be VB A52264 856 49 required require VBN A52264 856 50 the the DT A52264 856 51 perpendicular perpendicular NN A52264 856 52 : : : A52264 856 53 because because IN A52264 856 54 it -PRON- PRP A52264 856 55 is be VBZ A52264 856 56 a a DT A52264 856 57 side side NN A52264 856 58 that that WDT A52264 856 59 is be VBZ A52264 856 60 required require VBN A52264 856 61 , , , A52264 856 62 I -PRON- PRP A52264 856 63 put put VBD A52264 856 64 the the DT A52264 856 65 angle angle NN A52264 856 66 opposite opposite RB A52264 856 67 to to IN A52264 856 68 the the DT A52264 856 69 given give VBN A52264 856 70 side side NN A52264 856 71 in in IN A52264 856 72 the the DT A52264 856 73 first first JJ A52264 856 74 place place NN A52264 856 75 , , , A52264 856 76 and and CC A52264 856 77 then then RB A52264 856 78 the the DT A52264 856 79 proportion proportion NN A52264 856 80 is be VBZ A52264 856 81 : : : A52264 856 82 As as IN A52264 856 83 the the DT A52264 856 84 sine sine NN A52264 856 85 of of IN A52264 856 86 the the DT A52264 856 87 angle angle NN A52264 856 88 at at IN A52264 856 89 the the DT A52264 856 90 perpendicular perpendicular NN A52264 856 91 , , , A52264 856 92 is be VBZ A52264 856 93 in in IN A52264 856 94 proportion proportion NN A52264 856 95 to to IN A52264 856 96 the the DT A52264 856 97 base base NN A52264 856 98 : : : A52264 856 99 So so RB A52264 856 100 is be VBZ A52264 856 101 the the DT A52264 856 102 sine sine NN A52264 856 103 of of IN A52264 856 104 the the DT A52264 856 105 angle angle NN A52264 856 106 at at IN A52264 856 107 the the DT A52264 856 108 base base NN A52264 856 109 , , , A52264 856 110 to to IN A52264 856 111 the the DT A52264 856 112 perpendicular perpendicular NN A52264 856 113 . . . A52264 857 1 Now now RB A52264 857 2 if if IN A52264 857 3 you -PRON- PRP A52264 857 4 work work VBP A52264 857 5 by by IN A52264 857 6 the the DT A52264 857 7 natural natural JJ A52264 857 8 Sines Sines NNPS A52264 857 9 , , , A52264 857 10 you -PRON- PRP A52264 857 11 must must MD A52264 857 12 multiply multiply VB A52264 857 13 the the DT A52264 857 14 second second JJ A52264 857 15 term term NN A52264 857 16 given give VBN A52264 857 17 , , , A52264 857 18 by by IN A52264 857 19 the the DT A52264 857 20 third third JJ A52264 857 21 , , , A52264 857 22 and and CC A52264 857 23 divide divide VB A52264 857 24 the the DT A52264 857 25 product product NN A52264 857 26 by by IN A52264 857 27 the the DT A52264 857 28 first first JJ A52264 857 29 , , , A52264 857 30 and and CC A52264 857 31 then then RB A52264 857 32 the the DT A52264 857 33 quotient quotient NN A52264 857 34 is be VBZ A52264 857 35 the the DT A52264 857 36 fourth fourth JJ A52264 857 37 term term NN A52264 857 38 required require VBN A52264 857 39 , , , A52264 857 40 and and CC A52264 857 41 the the DT A52264 857 42 whole whole JJ A52264 857 43 work work NN A52264 857 44 will will MD A52264 857 45 stand stand VB A52264 857 46 thus thus RB A52264 857 47 : : : A52264 857 48 As as RB A52264 857 49 sine sine VB A52264 857 50 the the DT A52264 857 51 ang ang NN A52264 857 52 . . . A52264 858 1 at at IN A52264 858 2 the the DT A52264 858 3 perpend perpend NN A52264 858 4 . . . A52264 859 1 ABC ABC NNP A52264 859 2 67 67 CD A52264 859 3 degrees degree NNS A52264 859 4 40 40 CD A52264 859 5 minutes minute NNS A52264 859 6 9232102 9232102 CD A52264 859 7         _SP A52264 859 8 Is be VBZ A52264 859 9 in in IN A52264 859 10 proportion proportion NN A52264 859 11 to to IN A52264 859 12 the the DT A52264 859 13 base base NN A52264 859 14 AC AC NNP A52264 859 15 ; ; : A52264 859 16 768 768 CD A52264 859 17 So so RB A52264 859 18 is be VBZ A52264 859 19 sine sine VB A52264 859 20 the the DT A52264 859 21 angle angle NN A52264 859 22 at at IN A52264 859 23 the the DT A52264 859 24 base base NN A52264 859 25 , , , A52264 859 26 ACB ACB NNP A52264 859 27 22 22 CD A52264 859 28 degrees degree NNS A52264 859 29 60 60 CD A52264 859 30 minutes minute NNS A52264 859 31 3842953 3842953 CD A52264 859 32             _SP A52264 859 33 30743624 30743624 CD A52264 859 34     _SP A52264 859 35 23057718 23057718 CD A52264 859 36     _SP A52264 859 37 26900671 26900671 CD A52264 859 38         _SP A52264 859 39 The the DT A52264 859 40 product product NN A52264 859 41 of of IN A52264 859 42 the the DT A52264 859 43 2d 2d CD A52264 859 44 . . . A52264 860 1 & & CC A52264 860 2 3d 3d NNP A52264 860 3 . . . A52264 861 1 2951387904 2951387904 CD A52264 861 2 Which which WDT A52264 861 3 divided divide VBN A52264 861 4 by by IN A52264 861 5 9232102 9232102 CD A52264 861 6 , , , A52264 861 7 the the DT A52264 861 8 first first JJ A52264 861 9 term term NN A52264 861 10 given give VBN A52264 861 11 , , , A52264 861 12 leaveth leaveth NNP A52264 861 13 in in IN A52264 861 14 the the DT A52264 861 15 quotient quotient NN A52264 861 16 320 320 CD A52264 861 17 ferè ferè NN A52264 861 18 . . . A52264 862 1 But but CC A52264 862 2 if if IN A52264 862 3 you -PRON- PRP A52264 862 4 work work VBP A52264 862 5 by by IN A52264 862 6 the the DT A52264 862 7 artificiall artificiall NN A52264 862 8 sines sin VBZ A52264 862 9 , , , A52264 862 10 that that RB A52264 862 11 is is RB A52264 862 12 , , , A52264 862 13 by by IN A52264 862 14 the the DT A52264 862 15 Logarithmes logarithme NNS A52264 862 16 of of IN A52264 862 17 the the DT A52264 862 18 natural natural JJ A52264 862 19 , , , A52264 862 20 then then RB A52264 862 21 you -PRON- PRP A52264 862 22 must must MD A52264 862 23 adde adde VB A52264 862 24 together together RB A52264 862 25 the the DT A52264 862 26 Logarithmes logarithme NNS A52264 862 27 of of IN A52264 862 28 the the DT A52264 862 29 second second JJ A52264 862 30 and and CC A52264 862 31 third third JJ A52264 862 32 terms term NNS A52264 862 33 ; ; , A52264 862 34 given give VBN A52264 862 35 , , , A52264 862 36 and and CC A52264 862 37 from from IN A52264 862 38 their -PRON- PRP$ A52264 862 39 aggregate aggregate NN A52264 862 40 substract substract VB A52264 862 41 the the DT A52264 862 42 Logarithme Logarithme NNP A52264 862 43 of of IN A52264 862 44 the the DT A52264 862 45 first first JJ A52264 862 46 , , , A52264 862 47 and and CC A52264 862 48 what what WDT A52264 862 49 remaineth remaineth NNP A52264 862 50 will will MD A52264 862 51 be be VB A52264 862 52 the the DT A52264 862 53 Logarithme Logarithme NNP A52264 862 54 of of IN A52264 862 55 the the DT A52264 862 56 fourth fourth JJ A52264 862 57 proportional proportional NN A52264 862 58 , , , A52264 862 59 whether whether IN A52264 862 60 side side NN A52264 862 61 or or CC A52264 862 62 angle angle NN A52264 862 63 : : : A52264 862 64 the the DT A52264 862 65 work work NN A52264 862 66 standeth standeth NN A52264 862 67 thus thus RB A52264 862 68 . . . A52264 863 1 As as IN A52264 863 2 sine sine VB A52264 863 3 the the DT A52264 863 4 angle angle NN A52264 863 5 at at IN A52264 863 6 the the DT A52264 863 7 perpendicular perpendicular JJ A52264 863 8 B B NNP A52264 863 9 67 67 CD A52264 863 10 deg deg NN A52264 863 11 . . . A52264 864 1 40 40 CD A52264 864 2 min min NN A52264 864 3 . . . A52264 865 1 9.9653006 9.9653006 CD A52264 865 2         _SP A52264 865 3 Is be VBZ A52264 865 4 in in IN A52264 865 5 proportiō proportiō CD A52264 865 6 to to IN A52264 865 7 the the DT A52264 865 8 base base NN A52264 865 9 AB AB NNP A52264 865 10 768 768 CD A52264 865 11 ; ; : A52264 865 12 2.8853612 2.8853612 CD A52264 865 13 So so RB A52264 865 14 is be VBZ A52264 865 15 sine sine VB A52264 865 16 the the DT A52264 865 17 angle angle NN A52264 865 18 at at IN A52264 865 19 the the DT A52264 865 20 base base NN A52264 865 21 C C NNP A52264 865 22 22 22 CD A52264 865 23 degree degree NN A52264 865 24 , , , A52264 865 25 60 60 CD A52264 865 26 minutes minute NNS A52264 865 27 . . . A52264 866 1 9.5846651 9.5846651 CD A52264 866 2         _SP A52264 866 3 The the DT A52264 866 4 aggregate aggregate NN A52264 866 5 of of IN A52264 866 6 the the DT A52264 866 7 2d 2d CD A52264 866 8 . . . A52264 867 1 & & CC A52264 867 2 3d 3d NNP A52264 867 3 . . . A52264 868 1 12.4700263 12.4700263 CD A52264 868 2 From from IN A52264 868 3 which which WDT A52264 868 4 I -PRON- PRP A52264 868 5 substract substract VBP A52264 868 6 the the DT A52264 868 7 first first JJ A52264 868 8 , , , A52264 868 9 9.9653006 9.9653006 CD A52264 868 10 , , , A52264 868 11 and and CC A52264 868 12 the the DT A52264 868 13 remainer remainer NN A52264 868 14 which which WDT A52264 868 15 is be VBZ A52264 868 16 2.5047257 2.5047257 CD A52264 868 17 , , , A52264 868 18 is be VBZ A52264 868 19 the the DT A52264 868 20 Logarithme Logarithme NNP A52264 868 21 of of IN A52264 868 22 the the DT A52264 868 23 fourth fourth JJ A52264 868 24 : : : A52264 868 25 wherefore wherefore NN A52264 868 26 looking look VBG A52264 868 27 in in IN A52264 868 28 the the DT A52264 868 29 Table table NN A52264 868 30 for for IN A52264 868 31 the the DT A52264 868 32 absolute absolute JJ A52264 868 33 number number NN A52264 868 34 answering answer VBG A52264 868 35 thereunto thereunto NNS A52264 868 36 , , , A52264 868 37 I -PRON- PRP A52264 868 38 finde finde VBP A52264 868 39 the the DT A52264 868 40 nearest near JJS A52264 868 41 to to TO A52264 868 42 be be VB A52264 868 43 320 320 CD A52264 868 44 , , , A52264 868 45 which which WDT A52264 868 46 is be VBZ A52264 868 47 the the DT A52264 868 48 length length NN A52264 868 49 of of IN A52264 868 50 the the DT A52264 868 51 perpendicular perpendicular NN A52264 868 52 , , , A52264 868 53 as as IN A52264 868 54 before before RB A52264 868 55 . . . A52264 869 1 The the DT A52264 869 2 operation operation NN A52264 869 3 it -PRON- PRP A52264 869 4 self self NN A52264 869 5 may may MD A52264 869 6 yet yet RB A52264 869 7 be be VB A52264 869 8 performed perform VBN A52264 869 9 with with IN A52264 869 10 more more JJR A52264 869 11 ease ease NN A52264 869 12 , , , A52264 869 13 if if IN A52264 869 14 instead instead RB A52264 869 15 of of IN A52264 869 16 the the DT A52264 869 17 Logarithme Logarithme NNP A52264 869 18 of of IN A52264 869 19 the the DT A52264 869 20 first first JJ A52264 869 21 proportional proportional NN A52264 869 22 , , , A52264 869 23 we -PRON- PRP A52264 869 24 take take VBP A52264 869 25 his -PRON- PRP$ A52264 869 26 complement complement NN A52264 869 27 arithmetical arithmetical NN A52264 869 28 , , , A52264 869 29 as as IN A52264 869 30 hath hath NNP A52264 869 31 been be VBN A52264 869 32 shewed shew VBN A52264 869 33 in in IN A52264 869 34 the the DT A52264 869 35 eighth eighth JJ A52264 869 36 raile raile NN A52264 869 37 of of IN A52264 869 38 the the DT A52264 869 39 fifth fifth JJ A52264 869 40 Chapter chapter NN A52264 869 41 : : : A52264 869 42 for for IN A52264 869 43 then then RB A52264 869 44 the the DT A52264 869 45 totall totall NN A52264 869 46 of of IN A52264 869 47 the the DT A52264 869 48 arithmaticall arithmaticall NN A52264 869 49 complement complement NN A52264 869 50 , , , A52264 869 51 and and CC A52264 869 52 the the DT A52264 869 53 Logarithme Logarithme NNP A52264 869 54 of of IN A52264 869 55 the the DT A52264 869 56 second second JJ A52264 869 57 and and CC A52264 869 58 third third JJ A52264 869 59 proportionals proportional NNS A52264 869 60 , , , A52264 869 61 abating abate VBG A52264 869 62 Radius Radius NNP A52264 869 63 , , , A52264 869 64 is be VBZ A52264 869 65 the the DT A52264 869 66 Logarithme Logarithme NNP A52264 869 67 of of IN A52264 869 68 the the DT A52264 869 69 fourth fourth JJ A52264 869 70 proportionall proportionall NN A52264 869 71 , , , A52264 869 72 as as IN A52264 869 73 doth doth NNP A52264 869 74 appear appear VBP A52264 869 75 in in IN A52264 869 76 this this DT A52264 869 77 example example NN A52264 869 78 . . . A52264 870 1 As as IN A52264 870 2 sine sine NN A52264 870 3 of of IN A52264 870 4 ABC ABC NNP A52264 870 5 67 67 CD A52264 870 6 de de NN A52264 870 7 . . . A52264 871 1 40 40 CD A52264 871 2 m m NN A52264 871 3 . . . A52264 872 1 co co NNP A52264 872 2 . . . A52264 873 1 ar ar NNP A52264 873 2 . . . A52264 874 1 0.0346994 0.0346994 CD A52264 874 2 To to IN A52264 874 3 the the DT A52264 874 4 base base NN A52264 874 5 AC AC NNP A52264 874 6 768 768 CD A52264 874 7 ; ; : A52264 874 8 2.8853612 2.8853612 CD A52264 874 9 So so RB A52264 874 10 the the DT A52264 874 11 sine sine NN A52264 874 12 of of IN A52264 874 13 ACB ACB NNP A52264 874 14 22 22 CD A52264 874 15 de de NN A52264 874 16 . . . A52264 875 1 60 60 CD A52264 875 2 m m NN A52264 875 3 . . . A52264 876 1 9.5846651 9.5846651 CD A52264 876 2         _SP A52264 876 3 To to IN A52264 876 4 the the DT A52264 876 5 perpendic perpendic NN A52264 876 6 . . . A52264 877 1 AB AB NNP A52264 877 2 320 320 CD A52264 877 3 ferè ferè NN A52264 877 4 2.5047257 2.5047257 CD A52264 877 5 Thus thus RB A52264 877 6 having have VBG A52264 877 7 sufficiently sufficiently RB A52264 877 8 explained explain VBN A52264 877 9 the the DT A52264 877 10 operation operation NN A52264 877 11 in in IN A52264 877 12 this this DT A52264 877 13 first first JJ A52264 877 14 example example NN A52264 877 15 , , , A52264 877 16 we -PRON- PRP A52264 877 17 shall shall MD A52264 877 18 be be VB A52264 877 19 briefer briefer VB A52264 877 20 in in IN A52264 877 21 the the DT A52264 877 22 rest rest NN A52264 877 23 that that WDT A52264 877 24 follow follow VBP A52264 877 25 , , , A52264 877 26 understanding understand VBG A52264 877 27 the the DT A52264 877 28 like like NN A52264 877 29 in in IN A52264 877 30 them -PRON- PRP A52264 877 31 also also RB A52264 877 32 . . . A52264 878 1 In in IN A52264 878 2 this this DT A52264 878 3 manner manner NN A52264 878 4 may may MD A52264 878 5 all all PDT A52264 878 6 the the DT A52264 878 7 cases case NNS A52264 878 8 of of IN A52264 878 9 a a DT A52264 878 10 plain plain JJ A52264 878 11 right right RB A52264 878 12 angled angle VBN A52264 878 13 Triangle Triangle NNP A52264 878 14 be be VB A52264 878 15 resolved resolve VBN A52264 878 16 by by IN A52264 878 17 this this DT A52264 878 18 proportion proportion NN A52264 878 19 , , , A52264 878 20 except except IN A52264 878 21 it -PRON- PRP A52264 878 22 be be VB A52264 878 23 when when WRB A52264 878 24 the the DT A52264 878 25 base base NN A52264 878 26 and and CC A52264 878 27 perpendicular perpendicular JJ A52264 878 28 with with IN A52264 878 29 their -PRON- PRP$ A52264 878 30 contained contain VBN A52264 878 31 angle angle NN A52264 878 32 ( ( -LRB- A52264 878 33 that that DT A52264 878 34 is be VBZ A52264 878 35 the the DT A52264 878 36 right right JJ A52264 878 37 angle angle NN A52264 878 38 ) ) -RRB- A52264 878 39 is be VBZ A52264 878 40 given give VBN A52264 878 41 , , , A52264 878 42 to to IN A52264 878 43 finde finde NNP A52264 878 44 either either CC A52264 878 45 an an DT A52264 878 46 angle angle NN A52264 878 47 or or CC A52264 878 48 the the DT A52264 878 49 third third JJ A52264 878 50 side side NN A52264 878 51 ; ; : A52264 878 52 in in IN A52264 878 53 this this DT A52264 878 54 case case NN A52264 878 55 therefore therefore RB A52264 878 56 we -PRON- PRP A52264 878 57 must must MD A52264 878 58 have have VB A52264 878 59 recourse recourse VBN A52264 878 60 to to IN A52264 878 61 the the DT A52264 878 62 17 17 CD A52264 878 63 th th NN A52264 878 64 . . . A52264 879 1 Theorem theorem NN A52264 879 2 of of IN A52264 879 3 the the DT A52264 879 4 second second JJ A52264 879 5 Chapter chapter NN A52264 879 6 , , , A52264 879 7 by by IN A52264 879 8 help help NN A52264 879 9 whereof whereof IN A52264 879 10 the the DT A52264 879 11 Hypothenusall Hypothenusall NNP A52264 879 12 may may MD A52264 879 13 be be VB A52264 879 14 found find VBN A52264 879 15 in in IN A52264 879 16 this this DT A52264 879 17 manner manner NN A52264 879 18 : : : A52264 879 19 square square VB A52264 879 20 the the DT A52264 879 21 sides side NNS A52264 879 22 , , , A52264 879 23 and and CC A52264 879 24 from from IN A52264 879 25 the the DT A52264 879 26 aggregate aggregate NN A52264 879 27 of of IN A52264 879 28 their -PRON- PRP$ A52264 879 29 squares square NNS A52264 879 30 extract extract VBP A52264 879 31 the the DT A52264 879 32 square square JJ A52264 879 33 root root NN A52264 879 34 , , , A52264 879 35 that that DT A52264 879 36 square square JJ A52264 879 37 root root NN A52264 879 38 shall shall MD A52264 879 39 be be VB A52264 879 40 the the DT A52264 879 41 length length NN A52264 879 42 of of IN A52264 879 43 the the DT A52264 879 44 Hypothenusal Hypothenusal NNP A52264 879 45 . . . A52264 880 1 For for IN A52264 880 2 example example NN A52264 880 3 . . . A52264 881 1 Let let VB A52264 881 2 the the DT A52264 881 3 base base NN A52264 881 4 be be VB A52264 881 5 four four CD A52264 881 6 paces pace NNS A52264 881 7 , , , A52264 881 8 and and CC A52264 881 9 the the DT A52264 881 10 perpendicular perpendicular JJ A52264 881 11 3 3 CD A52264 881 12 , , , A52264 881 13 the the DT A52264 881 14 square square NN A52264 881 15 of of IN A52264 881 16 the the DT A52264 881 17 base base NN A52264 881 18 is be VBZ A52264 881 19 16 16 CD A52264 881 20 , , , A52264 881 21 the the DT A52264 881 22 square square NN A52264 881 23 of of IN A52264 881 24 the the DT A52264 881 25 perpendicular perpendicular NN A52264 881 26 is be VBZ A52264 881 27 9 9 CD A52264 881 28 , , , A52264 881 29 the the DT A52264 881 30 summe summe NN A52264 881 31 of of IN A52264 881 32 these these DT A52264 881 33 two two CD A52264 881 34 squares square NNS A52264 881 35 is be VBZ A52264 881 36 25 25 CD A52264 881 37 , , , A52264 881 38 the the DT A52264 881 39 square square JJ A52264 881 40 root root NN A52264 881 41 of of IN A52264 881 42 this this DT A52264 881 43 summe summe NN A52264 881 44 is be VBZ A52264 881 45 5 5 CD A52264 881 46 paces pace NNS A52264 881 47 , , , A52264 881 48 and and CC A52264 881 49 that that DT A52264 881 50 is be VBZ A52264 881 51 the the DT A52264 881 52 length length NN A52264 881 53 of of IN A52264 881 54 the the DT A52264 881 55 hypo hypo NNP A52264 881 56 ● ● NFP A52264 881 57 enusal enusal NN A52264 881 58 ; ; : A52264 881 59 and and CC A52264 881 60 this this DT A52264 881 61 hypothenusal hypothenusal NN A52264 881 62 being be VBG A52264 881 63 thus thus RB A52264 881 64 found find VBN A52264 881 65 , , , A52264 881 66 the the DT A52264 881 67 angles angle NNS A52264 881 68 also also RB A52264 881 69 may may MD A52264 881 70 be be VB A52264 881 71 ● ● . A52264 881 72 ound ound NN A52264 881 73 , , , A52264 881 74 as as IN A52264 881 75 before before RB A52264 881 76 . . . A52264 882 1 Nor nor CC A52264 882 2 are be VBP A52264 882 3 we -PRON- PRP A52264 882 4 tied tie VBN A52264 882 5 to to IN A52264 882 6 this this DT A52264 882 7 way way NN A52264 882 8 of of IN A52264 882 9 finding find VBG A52264 882 10 the the DT A52264 882 11 hypothenusal hypothenusal NN A52264 882 12 , , , A52264 882 13 unlesse unlesse NN A52264 882 14 we -PRON- PRP A52264 882 15 confine confine VBP A52264 882 16 our -PRON- PRP$ A52264 882 17 selves self NNS A52264 882 18 to to IN A52264 882 19 the the DT A52264 882 20 Tables Tables NNPS A52264 882 21 of of IN A52264 882 22 Sines Sines NNPS A52264 882 23 onely onely RB A52264 882 24 ; ; : A52264 882 25 if if IN A52264 882 26 we -PRON- PRP A52264 882 27 would would MD A52264 882 28 make make VB A52264 882 29 use use NN A52264 882 30 of of IN A52264 882 31 the the DT A52264 882 32 Tables Tables NNPS A52264 882 33 of of IN A52264 882 34 Tangents Tangents NNPS A52264 882 35 or or CC A52264 882 36 Secants Secants NNPS A52264 882 37 , , , A52264 882 38 the the DT A52264 882 39 hypothenusal hypothenusal NN A52264 882 40 may may MD A52264 882 41 not not RB A52264 882 42 onely onely RB A52264 882 43 be be VB A52264 882 44 found find VBN A52264 882 45 with with IN A52264 882 46 more more JJR A52264 882 47 ease ease NN A52264 882 48 , , , A52264 882 49 but but CC A52264 882 50 all all PDT A52264 882 51 the the DT A52264 882 52 cases case NNS A52264 882 53 of of IN A52264 882 54 a a DT A52264 882 55 right right RB A52264 882 56 angled angle VBN A52264 882 57 plain plain JJ A52264 882 58 triangle triangle NN A52264 882 59 may may MD A52264 882 60 be be VB A52264 882 61 also also RB A52264 882 62 found find VBN A52264 882 63 several several JJ A52264 882 64 wayes waye NNS A52264 882 65 , , , A52264 882 66 by by IN A52264 882 67 the the DT A52264 882 68 help help NN A52264 882 69 of of IN A52264 882 70 this this DT A52264 882 71 Axiome Axiome NNP A52264 882 72 following follow VBG A52264 882 73 . . . A52264 883 1 The the DT A52264 883 2 second second JJ A52264 883 3 AXIOME axiome NN A52264 883 4 . . . A52264 884 1 In in IN A52264 884 2 a a DT A52264 884 3 plain plain JJ A52264 884 4 right right RB A52264 884 5 angled angle VBN A52264 884 6 triangle triangle NN A52264 884 7 , , , A52264 884 8 any any DT A52264 884 9 of of IN A52264 884 10 the the DT A52264 884 11 three three CD A52264 884 12 sides side NNS A52264 884 13 may may MD A52264 884 14 be be VB A52264 884 15 made make VBN A52264 884 16 the the DT A52264 884 17 Radius Radius NNP A52264 884 18 of of IN A52264 884 19 a a DT A52264 884 20 circle circle NN A52264 884 21 , , , A52264 884 22 and and CC A52264 884 23 the the DT A52264 884 24 other other JJ A52264 884 25 sides side NNS A52264 884 26 will will MD A52264 884 27 be be VB A52264 884 28 as as IN A52264 884 29 Sines Sines NNP A52264 884 30 , , , A52264 884 31 Tangents Tangents NNP A52264 884 32 , , , A52264 884 33 or or CC A52264 884 34 Secants secant NNS A52264 884 35 . . . A52264 885 1 And and CC A52264 885 2 what what WDT A52264 885 3 proportion proportion NN A52264 885 4 the the DT A52264 885 5 side side NN A52264 885 6 put put VBN A52264 885 7 as as IN A52264 885 8 Radius Radius NNP A52264 885 9 hath hath NN A52264 885 10 unto unto IN A52264 885 11 Radius Radius NNP A52264 885 12 ; ; : A52264 885 13 the the DT A52264 885 14 same same JJ A52264 885 15 proportion proportion NN A52264 885 16 hath hath NN A52264 885 17 the the DT A52264 885 18 other other JJ A52264 885 19 sides side NNS A52264 885 20 unto unto IN A52264 885 21 the the DT A52264 885 22 Sines Sines NNPS A52264 885 23 , , , A52264 885 24 Tangents Tangents NNP A52264 885 25 , , , A52264 885 26 or or CC A52264 885 27 Secants secant NNS A52264 885 28 of of IN A52264 885 29 the the DT A52264 885 30 opposite opposite JJ A52264 885 31 angles angle NNS A52264 885 32 by by IN A52264 885 33 them -PRON- PRP A52264 885 34 represented represent VBD A52264 885 35 . . . A52264 886 1 If if IN A52264 886 2 you -PRON- PRP A52264 886 3 make make VBP A52264 886 4 the the DT A52264 886 5 hypothenusal hypothenusal NNP A52264 886 6 Radius Radius NNP A52264 886 7 , , , A52264 886 8 the the DT A52264 886 9 triangle triangle NN A52264 886 10 will will MD A52264 886 11 be be VB A52264 886 12 totally totally RB A52264 886 13 inscribed inscribe VBN A52264 886 14 in in IN A52264 886 15 the the DT A52264 886 16 circle circle NN A52264 886 17 , , , A52264 886 18 and and CC A52264 886 19 consequently consequently RB A52264 886 20 the the DT A52264 886 21 other other JJ A52264 886 22 two two CD A52264 886 23 sides side NNS A52264 886 24 shall shall MD A52264 886 25 represent represent VB A52264 886 26 the the DT A52264 886 27 sines sine NNS A52264 886 28 of of IN A52264 886 29 their -PRON- PRP$ A52264 886 30 opposite opposite JJ A52264 886 31 angles angle NNS A52264 886 32 , , , A52264 886 33 that that RB A52264 886 34 is is RB A52264 886 35 , , , A52264 886 36 the the DT A52264 886 37 base base NN A52264 886 38 shall shall MD A52264 886 39 represent represent VB A52264 886 40 the the DT A52264 886 41 sine sine NN A52264 886 42 of of IN A52264 886 43 the the DT A52264 886 44 angle angle NN A52264 886 45 at at IN A52264 886 46 the the DT A52264 886 47 perpendicular perpendicular NN A52264 886 48 , , , A52264 886 49 and and CC A52264 886 50 the the DT A52264 886 51 perpendicular perpendicular JJ A52264 886 52 shall shall MD A52264 886 53 represent represent VB A52264 886 54 the the DT A52264 886 55 sine sine NN A52264 886 56 of of IN A52264 886 57 the the DT A52264 886 58 angle angle NN A52264 886 59 at at IN A52264 886 60 the the DT A52264 886 61 base base NN A52264 886 62 , , , A52264 886 63 as as IN A52264 886 64 in in IN A52264 886 65 the the DT A52264 886 66 preceding precede VBG A52264 886 67 Diagram Diagram NNP A52264 886 68 . . . A52264 887 1 If if IN A52264 887 2 you -PRON- PRP A52264 887 3 make make VBP A52264 887 4 the the DT A52264 887 5 base base NN A52264 887 6 Radius Radius NNP A52264 887 7 , , , A52264 887 8 the the DT A52264 887 9 triangle triangle NN A52264 887 10 will will MD A52264 887 11 be be VB A52264 887 12 but but CC A52264 887 13 partially partially RB A52264 887 14 inscribed inscribe VBN A52264 887 15 in in IN A52264 887 16 the the DT A52264 887 17 circle circle NN A52264 887 18 , , , A52264 887 19 and and CC A52264 887 20 the the DT A52264 887 21 other other JJ A52264 887 22 two two CD A52264 887 23 sides side NNS A52264 887 24 shall shall MD A52264 887 25 be be VB A52264 887 26 one one CD A52264 887 27 of of IN A52264 887 28 them -PRON- PRP A52264 887 29 a a DT A52264 887 30 tangent tangent NN A52264 887 31 , , , A52264 887 32 and and CC A52264 887 33 the the DT A52264 887 34 other other JJ A52264 887 35 a a DT A52264 887 36 secant secant NN A52264 887 37 . . . A52264 888 1 Thus thus RB A52264 888 2 in in IN A52264 888 3 the the DT A52264 888 4 first first JJ A52264 888 5 Diagram Diagram NNP A52264 888 6 of of IN A52264 888 7 this this DT A52264 888 8 Chapter chapter NN A52264 888 9 , , , A52264 888 10 the the DT A52264 888 11 base base NN A52264 888 12 BD BD NNP A52264 888 13 is be VBZ A52264 888 14 made make VBN A52264 888 15 the the DT A52264 888 16 Radius Radius NNP A52264 888 17 of of IN A52264 888 18 the the DT A52264 888 19 circle circle NN A52264 888 20 , , , A52264 888 21 the the DT A52264 888 22 perpendicular perpendicular JJ A52264 888 23 D d NN A52264 888 24 ● ● CD A52264 888 25 is be VBZ A52264 888 26 the the DT A52264 888 27 tangent tangent NN A52264 888 28 of of IN A52264 888 29 the the DT A52264 888 30 angle angle NN A52264 888 31 at at IN A52264 888 32 the the DT A52264 888 33 base base NN A52264 888 34 , , , A52264 888 35 and and CC A52264 888 36 B b NN A52264 888 37 ● ● CD A52264 888 38 is be VBZ A52264 888 39 the the DT A52264 888 40 secant secant NN A52264 888 41 of of IN A52264 888 42 the the DT A52264 888 43 same same JJ A52264 888 44 angle angle NN A52264 888 45 . . . A52264 889 1 If if IN A52264 889 2 you -PRON- PRP A52264 889 3 make make VBP A52264 889 4 the the DT A52264 889 5 perpendicular perpendicular JJ A52264 889 6 Radius Radius NNP A52264 889 7 , , , A52264 889 8 the the DT A52264 889 9 triangle triangle NN A52264 889 10 will will MD A52264 889 11 be be VB A52264 889 12 but but CC A52264 889 13 partially partially RB A52264 889 14 inscribed inscribe VBN A52264 889 15 in in IN A52264 889 16 the the DT A52264 889 17 circle circle NN A52264 889 18 , , , A52264 889 19 as as IN A52264 889 20 before before RB A52264 889 21 , , , A52264 889 22 and and CC A52264 889 23 the the DT A52264 889 24 other other JJ A52264 889 25 two two CD A52264 889 26 sides side NNS A52264 889 27 will will MD A52264 889 28 be be VB A52264 889 29 also also RB A52264 889 30 the the DT A52264 889 31 one one NN A52264 889 32 a a DT A52264 889 33 tangent tangent NN A52264 889 34 and and CC A52264 889 35 the the DT A52264 889 36 other other JJ A52264 889 37 a a DT A52264 889 38 secant secant NN A52264 889 39 . . . A52264 890 1 As as IN A52264 890 2 in in IN A52264 890 3 this this DT A52264 890 4 example example NN A52264 890 5 , , , A52264 890 6 the the DT A52264 890 7 perpendicular perpendicular JJ A52264 890 8 AB AB NNP A52264 890 9 is be VBZ A52264 890 10 made make VBN A52264 890 11 the the DT A52264 890 12 Radius Radius NNP A52264 890 13 of of IN A52264 890 14 the the DT A52264 890 15 circle circle NN A52264 890 16 , , , A52264 890 17 the the DT A52264 890 18 base base NN A52264 890 19 AC AC NNP A52264 890 20 is be VBZ A52264 890 21 the the DT A52264 890 22 tangent tangent NN A52264 890 23 of of IN A52264 890 24 the the DT A52264 890 25 angle angle NN A52264 890 26 at at IN A52264 890 27 the the DT A52264 890 28 perpendicular perpendicular NN A52264 890 29 , , , A52264 890 30 and and CC A52264 890 31 the the DT A52264 890 32 hypothenusal hypothenusal NN A52264 890 33 BC BC NNP A52264 890 34 is be VBZ A52264 890 35 the the DT A52264 890 36 secant secant NN A52264 890 37 of of IN A52264 890 38 the the DT A52264 890 39 same same JJ A52264 890 40 angle angle NN A52264 890 41 . . . A52264 891 1 Hence hence RB A52264 891 2 it -PRON- PRP A52264 891 3 followes follow VBZ A52264 891 4 , , , A52264 891 5 that that IN A52264 891 6 if if IN A52264 891 7 you -PRON- PRP A52264 891 8 make make VBP A52264 891 9 AB AB NNP A52264 891 10 the the DT A52264 891 11 Radius Radius NNP A52264 891 12 , , , A52264 891 13 the the DT A52264 891 14 base base NN A52264 891 15 and and CC A52264 891 16 perpendicular perpendicular JJ A52264 891 17 being be VBG A52264 891 18 given give VBN A52264 891 19 , , , A52264 891 20 the the DT A52264 891 21 angle angle NN A52264 891 22 at at IN A52264 891 23 the the DT A52264 891 24 perpendicular perpendicular NN A52264 891 25 may may MD A52264 891 26 be be VB A52264 891 27 found find VBN A52264 891 28 by by IN A52264 891 29 this this DT A52264 891 30 proportion proportion NN A52264 891 31 . . . A52264 892 1 As as IN A52264 892 2 the the DT A52264 892 3 perpendicular perpendicular NN A52264 892 4 , , , A52264 892 5 is be VBZ A52264 892 6 in in IN A52264 892 7 proportion proportion NN A52264 892 8 to to IN A52264 892 9 Radius radius NN A52264 892 10 : : : A52264 892 11 So so RB A52264 892 12 is be VBZ A52264 892 13 the the DT A52264 892 14 base base NN A52264 892 15 , , , A52264 892 16 to to IN A52264 892 17 tang tang NNP A52264 892 18 ● ● . A52264 892 19 nt nt RB A52264 892 20 of of IN A52264 892 21 the the DT A52264 892 22 angle angle NN A52264 892 23 at at IN A52264 892 24 the the DT A52264 892 25 perpendicular perpendicular NN A52264 892 26 ; ; : A52264 892 27 for for IN A52264 892 28 the the DT A52264 892 29 perpendicular perpendicular JJ A52264 892 30 being be VBG A52264 892 31 made make VBN A52264 892 32 the the DT A52264 892 33 Radius Radius NNP A52264 892 34 of of IN A52264 892 35 the the DT A52264 892 36 circle circle NN A52264 892 37 , , , A52264 892 38 it -PRON- PRP A52264 892 39 must must MD A52264 892 40 of of IN A52264 892 41 necessity necessity NN A52264 892 42 bear bear VB A52264 892 43 the the DT A52264 892 44 same same JJ A52264 892 45 proportion proportion NN A52264 892 46 unto unto IN A52264 892 47 Radius Radius NNP A52264 892 48 , , , A52264 892 49 as as IN A52264 892 50 the the DT A52264 892 51 hypothenusal hypothenusal NNP A52264 892 52 doth doth NNP A52264 892 53 , , , A52264 892 54 when when WRB A52264 892 55 that that DT A52264 892 56 is be VBZ A52264 892 57 made make VBN A52264 892 58 the the DT A52264 892 59 Radius Radius NNP A52264 892 60 of of IN A52264 892 61 the the DT A52264 892 62 circle circle NN A52264 892 63 : : : A52264 892 64 and and CC A52264 892 65 if if IN A52264 892 66 the the DT A52264 892 67 perpendicular perpendicular NN A52264 892 68 be be VB A52264 892 69 the the DT A52264 892 70 Radius Radius NNP A52264 892 71 , , , A52264 892 72 the the DT A52264 892 73 base base NN A52264 892 74 must must MD A52264 892 75 needs needs VB A52264 892 76 represent represent VB A52264 892 77 the the DT A52264 892 78 tangent tangent NN A52264 892 79 of of IN A52264 892 80 the the DT A52264 892 81 angle angle NN A52264 892 82 at at IN A52264 892 83 the the DT A52264 892 84 perpendicular perpendicular NN A52264 892 85 . . . A52264 893 1 And and CC A52264 893 2 the the DT A52264 893 3 angle angle NN A52264 893 4 at at IN A52264 893 5 the the DT A52264 893 6 perpendicular perpendicular JJ A52264 893 7 be be VB A52264 893 8 - - : A52264 893 9 being be VBG A52264 893 10 thus thus RB A52264 893 11 found find VBN A52264 893 12 , , , A52264 893 13 the the DT A52264 893 14 hypothenusal hypothenusal NN A52264 893 15 may may MD A52264 893 16 be be VB A52264 893 17 found find VBN A52264 893 18 by by IN A52264 893 19 the the DT A52264 893 20 first first JJ A52264 893 21 Axiome Axiome NNP A52264 893 22 . . . A52264 894 1 For for IN A52264 894 2 , , , A52264 894 3 As as IN A52264 894 4 the the DT A52264 894 5 sine sine NN A52264 894 6 of of IN A52264 894 7 the the DT A52264 894 8 angle angle NN A52264 894 9 at at IN A52264 894 10 the the DT A52264 894 11 perpendicular perpendicular NN A52264 894 12 , , , A52264 894 13 is be VBZ A52264 894 14 in in IN A52264 894 15 proportion proportion NN A52264 894 16 to to IN A52264 894 17 his -PRON- PRP$ A52264 894 18 opposite opposite JJ A52264 894 19 side side NN A52264 894 20 the the DT A52264 894 21 base base NN A52264 894 22 ; ; : A52264 894 23 So so CC A52264 894 24 is be VBZ A52264 894 25 Radius Radius NNP A52264 894 26 , , , A52264 894 27 to to IN A52264 894 28 his -PRON- PRP$ A52264 894 29 opposite opposite JJ A52264 894 30 side side NN A52264 894 31 the the DT A52264 894 32 hypothenusal hypothenusal NN A52264 894 33 : : : A52264 894 34 and and CC A52264 894 35 thus thus RB A52264 894 36 you -PRON- PRP A52264 894 37 see see VBP A52264 894 38 that that IN A52264 894 39 the the DT A52264 894 40 hypothenusal hypothenusal NN A52264 894 41 may may MD A52264 894 42 be be VB A52264 894 43 found find VBN A52264 894 44 without without IN A52264 894 45 the the DT A52264 894 46 trouble trouble NN A52264 894 47 of of IN A52264 894 48 squaring square VBG A52264 894 49 the the DT A52264 894 50 sides side NNS A52264 894 51 , , , A52264 894 52 and and CC A52264 894 53 thence thence NN A52264 894 54 extracting extract VBG A52264 894 55 the the DT A52264 894 56 square square JJ A52264 894 57 root root NN A52264 894 58 . . . A52264 895 1 And and CC A52264 895 2 hence hence RB A52264 895 3 also also RB A52264 895 4 all all PDT A52264 895 5 the the DT A52264 895 6 cases case NNS A52264 895 7 of of IN A52264 895 8 a a DT A52264 895 9 right right RB A52264 895 10 angled angle VBN A52264 895 11 plain plain JJ A52264 895 12 triangle triangle NN A52264 895 13 may may MD A52264 895 14 be be VB A52264 895 15 resolved resolve VBN A52264 895 16 several several JJ A52264 895 17 wayes waye NNS A52264 895 18 : : : A52264 895 19 that that DT A52264 895 20 is be VBZ A52264 895 21 to to TO A52264 895 22 say say VB A52264 895 23 , , , A52264 895 24 1 1 CD A52264 895 25 . . . A52264 896 1 In in IN A52264 896 2 a a DT A52264 896 3 plain plain JJ A52264 896 4 right right RB A52264 896 5 angled angle VBN A52264 896 6 triangle triangle NN A52264 896 7 : : : A52264 896 8 the the DT A52264 896 9 angles angle NNS A52264 896 10 and and CC A52264 896 11 one one CD A52264 896 12 side side NN A52264 896 13 being be VBG A52264 896 14 given give VBN A52264 896 15 , , , A52264 896 16 every every DT A52264 896 17 of of IN A52264 896 18 the the DT A52264 896 19 other other JJ A52264 896 20 sides side NNS A52264 896 21 is be VBZ A52264 896 22 given give VBN A52264 896 23 , , , A52264 896 24 by by IN A52264 896 25 a a DT A52264 896 26 threefold threefold JJ A52264 896 27 proportion proportion NN A52264 896 28 , , , A52264 896 29 that that RB A52264 896 30 is is RB A52264 896 31 , , , A52264 896 32 as as IN A52264 896 33 you -PRON- PRP A52264 896 34 shall shall MD A52264 896 35 put put VB A52264 896 36 for for IN A52264 896 37 the the DT A52264 896 38 Radius Radius NNP A52264 896 39 , , , A52264 896 40 either either CC A52264 896 41 the the DT A52264 896 42 side side NN A52264 896 43 subtending subtend VBG A52264 896 44 the the DT A52264 896 45 right right JJ A52264 896 46 angle angle NN A52264 896 47 , , , A52264 896 48 or or CC A52264 896 49 the the DT A52264 896 50 greater great JJR A52264 896 51 or or CC A52264 896 52 lesser less JJR A52264 896 53 side side NN A52264 896 54 including include VBG A52264 896 55 the the DT A52264 896 56 right right JJ A52264 896 57 angle angle NN A52264 896 58 . . . A52264 897 1 2 2 LS A52264 897 2 . . . A52264 898 1 Any any DT A52264 898 2 of of IN A52264 898 3 the the DT A52264 898 4 two two CD A52264 898 5 sides side NNS A52264 898 6 being be VBG A52264 898 7 given give VBN A52264 898 8 , , , A52264 898 9 either either DT A52264 898 10 of of IN A52264 898 11 the the DT A52264 898 12 acute acute JJ A52264 898 13 angles angle NNS A52264 898 14 is be VBZ A52264 898 15 given give VBN A52264 898 16 by by IN A52264 898 17 a a DT A52264 898 18 double double JJ A52264 898 19 proportion proportion NN A52264 898 20 , , , A52264 898 21 that that RB A52264 898 22 is is RB A52264 898 23 , , , A52264 898 24 as as IN A52264 898 25 you -PRON- PRP A52264 898 26 shall shall MD A52264 898 27 put put VB A52264 898 28 either either CC A52264 898 29 this this DT A52264 898 30 or or CC A52264 898 31 that that DT A52264 898 32 side side NN A52264 898 33 for for IN A52264 898 34 the the DT A52264 898 35 Radius Radius NNP A52264 898 36 : : : A52264 898 37 to to TO A52264 898 38 make make VB A52264 898 39 this this DT A52264 898 40 clear clear JJ A52264 898 41 , , , A52264 898 42 we -PRON- PRP A52264 898 43 will will MD A52264 898 44 first first RB A52264 898 45 set set VB A52264 898 46 down down RP A52264 898 47 the the DT A52264 898 48 grounds ground NNS A52264 898 49 or or CC A52264 898 50 reasons reason NNS A52264 898 51 for for IN A52264 898 52 varying varying NN A52264 898 53 of of IN A52264 898 54 the the DT A52264 898 55 termes terme NNS A52264 898 56 of of IN A52264 898 57 proportion proportion NN A52264 898 58 : : : A52264 898 59 and and CC A52264 898 60 then then RB A52264 898 61 the the DT A52264 898 62 proportions proportion NNS A52264 898 63 themselves -PRON- PRP A52264 898 64 in in IN A52264 898 65 every every DT A52264 898 66 case case NN A52264 898 67 , , , A52264 898 68 according accord VBG A52264 898 69 to to IN A52264 898 70 all all PDT A52264 898 71 the the DT A52264 898 72 variations variation NNS A52264 898 73 . . . A52264 899 1 The the DT A52264 899 2 reasons reason NNS A52264 899 3 for for IN A52264 899 4 varying varying NN A52264 899 5 of of IN A52264 899 6 the the DT A52264 899 7 termes terme NNS A52264 899 8 of of IN A52264 899 9 proportion proportion NN A52264 899 10 are be VBP A52264 899 11 chiefly chiefly RB A52264 899 12 three three CD A52264 899 13 . . . A52264 900 1 The the DT A52264 900 2 first first JJ A52264 900 3 reason reason NN A52264 900 4 is be VBZ A52264 900 5 , , , A52264 900 6 because because IN A52264 900 7 the the DT A52264 900 8 Radius Radius NNP A52264 900 9 of of IN A52264 900 10 a a DT A52264 900 11 circle circle NN A52264 900 12 doth doth NN A52264 900 13 bear bear VBP A52264 900 14 a a DT A52264 900 15 threefold threefold JJ A52264 900 16 proportion proportion NN A52264 900 17 to to IN A52264 900 18 a a DT A52264 900 19 sine sine JJ A52264 900 20 , , , A52264 900 21 tangent tangent NN A52264 900 22 , , , A52264 900 23 or or CC A52264 900 24 secant secant NN A52264 900 25 ; ; : A52264 900 26 and and CC A52264 900 27 contrariwise contrariwise NN A52264 900 28 , , , A52264 900 29 a a DT A52264 900 30 sine sine JJ A52264 900 31 , , , A52264 900 32 tangent tangent NN A52264 900 33 , , , A52264 900 34 or or CC A52264 900 35 secant secant NN A52264 900 36 hath hath VB A52264 900 37 a a DT A52264 900 38 threefold threefold JJ A52264 900 39 proportion proportion NN A52264 900 40 to to IN A52264 900 41 Radius Radius NNP A52264 900 42 , , , A52264 900 43 by by IN A52264 900 44 the the DT A52264 900 45 second second JJ A52264 900 46 Axiome Axiome NNP A52264 900 47 of of IN A52264 900 48 this this DT A52264 900 49 Chapter chapter NN A52264 900 50 . . . A52264 901 1 For for IN A52264 901 2 As As NNP A52264 901 3 sine sine NN A52264 901 4 BC BC NNP A52264 901 5 , , , A52264 901 6 to to IN A52264 901 7 Rad Rad NNP A52264 901 8 . . . A52264 902 1 AC ac NN A52264 902 2 in in IN A52264 902 3 the the DT A52264 902 4 1 1 CD A52264 902 5 . . . A52264 902 6 triangle triangle NNP A52264 902 7 So So NNP A52264 902 8 Rad Rad NNP A52264 902 9 . . . A52264 903 1 BC BC NNP A52264 903 2 , , , A52264 903 3 to to TO A52264 903 4 secant secant VB A52264 903 5 AC AC NNP A52264 903 6 in in IN A52264 903 7 the the DT A52264 903 8 3d 3d NN A52264 903 9 . . . A52264 904 1 tri tri NNP A52264 904 2 . . . A52264 905 1 So so RB A52264 905 2 tang tang NNP A52264 905 3 . . . A52264 906 1 BC BC NNP A52264 906 2 , , , A52264 906 3 to to TO A52264 906 4 secant secant VB A52264 906 5 AC AC NNP A52264 906 6 in in IN A52264 906 7 the the DT A52264 906 8 2d 2d CD A52264 906 9 . . . A52264 907 1 tri tri NNP A52264 907 2 . . . A52264 908 1 & & CC A52264 908 2 contra contra NNP A52264 908 3 Again again RB A52264 908 4 , , , A52264 908 5 As as IN A52264 908 6 tang tang NNP A52264 908 7 . . . A52264 909 1 BC BC NNP A52264 909 2 , , , A52264 909 3 to to IN A52264 909 4 Rad Rad NNP A52264 909 5 . . . A52264 910 1 AB AB NNP A52264 910 2 in in IN A52264 910 3 the the DT A52264 910 4 2d 2d CD A52264 910 5 . . . A52264 911 1 triang triang NNP A52264 911 2 . . . A52264 912 1 So so RB A52264 912 2 Rad Rad NNP A52264 912 3 . . . A52264 913 1 BC BC NNP A52264 913 2 , , , A52264 913 3 to to IN A52264 913 4 tang tang NNP A52264 913 5 . . . A52264 914 1 AB AB NNP A52264 914 2 in in IN A52264 914 3 the the DT A52264 914 4 3d 3d NN A52264 914 5 . . . A52264 915 1 trian trian NNP A52264 915 2 . . . A52264 916 1 So so RB A52264 916 2 sine sine NNP A52264 916 3 BC BC NNP A52264 916 4 , , , A52264 916 5 to to TO A52264 916 6 sine sine VB A52264 916 7 BA BA NNP A52264 916 8 in in IN A52264 916 9 the the DT A52264 916 10 first first JJ A52264 916 11 triang triang NN A52264 916 12 . . . A52264 917 1 & & CC A52264 917 2 contra contra NNP A52264 917 3 Lastly Lastly NNP A52264 917 4 , , , A52264 917 5 As as IN A52264 917 6 secant secant NN A52264 917 7 AC AC NNP A52264 917 8 , , , A52264 917 9 to to IN A52264 917 10 Rad Rad NNP A52264 917 11 . . . A52264 918 1 BC BC NNP A52264 918 2 in in IN A52264 918 3 the the DT A52264 918 4 3d 3d NN A52264 918 5 . . . A52264 919 1 tri tri NNP A52264 919 2 . . . A52264 920 1 So so RB A52264 920 2 Rad Rad NNP A52264 920 3 . . . A52264 921 1 AC AC NNP A52264 921 2 , , , A52264 921 3 to to TO A52264 921 4 sine sine VB A52264 921 5 BC BC NNP A52264 921 6 in in IN A52264 921 7 the the DT A52264 921 8 first first JJ A52264 921 9 trian trian NN A52264 921 10 So So NNP A52264 921 11 secant secant NN A52264 921 12 AC AC NNP A52264 921 13 , , , A52264 921 14 to to IN A52264 921 15 tang tang NNP A52264 921 16 . . . A52264 922 1 BC BC NNP A52264 922 2 in in IN A52264 922 3 the the DT A52264 922 4 2d 2d CD A52264 922 5 . . . A52264 923 1 tri tri NNP A52264 923 2 . . . A52264 924 1 & & CC A52264 924 2 contra contra NNP A52264 924 3 Hence hence RB A52264 924 4 then then RB A52264 924 5 As as IN A52264 924 6 the the DT A52264 924 7 sine sine NN A52264 924 8 of of IN A52264 924 9 an an DT A52264 924 10 arch arch NN A52264 924 11 or or CC A52264 924 12 ang ang NN A52264 924 13 . . . A52264 925 1 is be VBZ A52264 925 2 to to IN A52264 925 3 Rad Rad NNP A52264 925 4 . . . A52264 926 1 So so RB A52264 926 2 Rad Rad NNP A52264 926 3 . . . A52264 927 1 to to IN A52264 927 2 the the DT A52264 927 3 secant secant NN A52264 927 4 comp comp NN A52264 927 5 . . . A52264 928 1 of of IN A52264 928 2 that that DT A52264 928 3 arch arch NNP A52264 928 4 & & CC A52264 928 5 so so RB A52264 928 6 is be VBZ A52264 928 7 the the DT A52264 928 8 tang tang NNP A52264 928 9 . . . A52264 929 1 of of IN A52264 929 2 that that DT A52264 929 3 arch arch NN A52264 929 4 , , , A52264 929 5 to to IN A52264 929 6 his -PRON- PRP$ A52264 929 7 sec sec NNP A52264 929 8 . . . A52264 930 1 & & CC A52264 930 2 contr contr NNP A52264 930 3 . . . A52264 931 1 Also also RB A52264 931 2 As as IN A52264 931 3 the the DT A52264 931 4 tang tang NN A52264 931 5 . . . A52264 932 1 of of IN A52264 932 2 an an DT A52264 932 3 arch arch NN A52264 932 4 or or CC A52264 932 5 ang ang NN A52264 932 6 . . . A52264 933 1 is be VBZ A52264 933 2 to to IN A52264 933 3 Rad Rad NNP A52264 933 4 . . . A52264 934 1 So so RB A52264 934 2 is be VBZ A52264 934 3 Rad Rad NNP A52264 934 4 . . . A52264 935 1 to to IN A52264 935 2 the the DT A52264 935 3 tangent tangent NN A52264 935 4 compl compl NN A52264 935 5 . . . A52264 936 1 thereof thereof RB A52264 936 2 . . . A52264 937 1 And and CC A52264 937 2 so so RB A52264 937 3 is be VBZ A52264 937 4 the the DT A52264 937 5 sine sine NN A52264 937 6 thereof thereof RB A52264 937 7 , , , A52264 937 8 to to IN A52264 937 9 the the DT A52264 937 10 sine sine NN A52264 937 11 of of IN A52264 937 12 its -PRON- PRP$ A52264 937 13 complement complement NN A52264 937 14 . . . A52264 938 1 & & CC A52264 938 2 contra contra NNP A52264 938 3 . . . A52264 939 1 Lastly lastly RB A52264 939 2 , , , A52264 939 3 As as IN A52264 939 4 the the DT A52264 939 5 secant secant NN A52264 939 6 of of IN A52264 939 7 an an DT A52264 939 8 arch arch NN A52264 939 9 or or CC A52264 939 10 ang ang NN A52264 939 11 . . . A52264 940 1 to to IN A52264 940 2 Rad Rad NNP A52264 940 3 . . . A52264 941 1 So so RB A52264 941 2 is be VBZ A52264 941 3 Radius Radius NNP A52264 941 4 , , , A52264 941 5 to to IN A52264 941 6 the the DT A52264 941 7 sine sine JJ A52264 941 8 compl compl NN A52264 941 9 . . . A52264 942 1 thereof thereof RB A52264 942 2 And and CC A52264 942 3 so so RB A52264 942 4 is be VBZ A52264 942 5 secant secant JJ A52264 942 6 complement complement NN A52264 942 7 to to IN A52264 942 8 tangent tangent NN A52264 942 9 complement complement NN A52264 942 10 thereof thereof RB A52264 942 11 . . . A52264 943 1 & & CC A52264 943 2 contra contra NNP A52264 943 3 . . . A52264 944 1 Example example NN A52264 944 2 . . . A52264 945 1 Let let VB A52264 945 2 there there EX A52264 945 3 be be VB A52264 945 4 given give VBN A52264 945 5 the the DT A52264 945 6 angle angle NN A52264 945 7 at at IN A52264 945 8 the the DT A52264 945 9 perpendicular perpendicular JJ A52264 945 10 41 41 CD A52264 945 11 degrees degree NNS A52264 945 12 60 60 CD A52264 945 13 minutes minute NNS A52264 945 14 , , , A52264 945 15 and and CC A52264 945 16 the the DT A52264 945 17 base base NN A52264 945 18 768 768 CD A52264 945 19 paces pace NNS A52264 945 20 , , , A52264 945 21 to to TO A52264 945 22 finde finde NNP A52264 945 23 the the DT A52264 945 24 perpendicular perpendicular NN A52264 945 25 . . . A52264 946 1 First first RB A52264 946 2 , , , A52264 946 3 by by IN A52264 946 4 the the DT A52264 946 5 natural natural JJ A52264 946 6 numbers number NNS A52264 946 7 , , , A52264 946 8 As as IN A52264 946 9 the the DT A52264 946 10 secant secant NN A52264 946 11 of of IN A52264 946 12 BAC BAC NNP A52264 946 13 41 41 CD A52264 946 14 d. d. NNP A52264 946 15 60 60 CD A52264 946 16 m m NN A52264 946 17 . . . A52264 947 1 13372593 13372593 CD A52264 947 2         _SP A52264 947 3 Is be VBZ A52264 947 4 to to IN A52264 947 5 Radius Radius NNP A52264 947 6 , , , A52264 947 7 10000000 10000000 CD A52264 947 8 So so RB A52264 947 9 is be VBZ A52264 947 10 the the DT A52264 947 11 base base NN A52264 947 12 AB AB NNP A52264 947 13 768 768 CD A52264 947 14         _SP A52264 947 15 To to IN A52264 947 16 the the DT A52264 947 17 perpendicular perpendicular JJ A52264 947 18 BC BC NNP A52264 947 19 ● ● NNP A52264 947 20 74 74 CD A52264 947 21 574 574 CD A52264 947 22 By by IN A52264 947 23 the the DT A52264 947 24 Artificiall Artificiall NNP A52264 947 25 . . . A52264 948 1 As as IN A52264 948 2 the the DT A52264 948 3 secant secant NN A52264 948 4 of of IN A52264 948 5 BAC BAC NNP A52264 948 6 41.60 41.60 CD A52264 948 7 . . . A52264 949 1 10.1262157 10.1262157 CD A52264 949 2         _SP A52264 949 3 Is be VBZ A52264 949 4 to to IN A52264 949 5 Radius radius NN A52264 949 6 ; ; : A52264 949 7 10.0000000 10.0000000 CD A52264 949 8 So so RB A52264 949 9 is be VBZ A52264 949 10 the the DT A52264 949 11 base base NN A52264 949 12 768 768 CD A52264 949 13 , , , A52264 949 14 2.8853612 2.8853612 CD A52264 949 15             _SP A52264 949 16 12.8853612 12.8853612 CD A52264 949 17 To to IN A52264 949 18 the the DT A52264 949 19 perpendicular perpendicular JJ A52264 949 20 574 574 CD A52264 949 21 : : : A52264 949 22 2.7591455 2.7591455 CD A52264 949 23 Secondly secondly RB A52264 949 24 , , , A52264 949 25 by by IN A52264 949 26 the the DT A52264 949 27 naturall naturall JJ A52264 949 28 numbers number NNS A52264 949 29 . . . A52264 950 1 As as IN A52264 950 2 the the DT A52264 950 3 Radius Radius NNP A52264 950 4 , , , A52264 950 5 10000000 10000000 CD A52264 950 6 To to IN A52264 950 7 the the DT A52264 950 8 co co NN A52264 950 9 - - NN A52264 950 10 sine sine NN A52264 950 11 of of IN A52264 950 12 BAC BAC NNP A52264 950 13 41.60 41.60 CD A52264 950 14 . . . A52264 951 1 7477981 7477981 CD A52264 951 2 So so RB A52264 951 3 is be VBZ A52264 951 4 the the DT A52264 951 5 base base NN A52264 951 6 AB AB NNP A52264 951 7 768 768 CD A52264 951 8 To to IN A52264 951 9 the the DT A52264 951 10 perpendicular perpendicular JJ A52264 951 11 BC BC NNP A52264 951 12 574 574 CD A52264 951 13 By by IN A52264 951 14 the the DT A52264 951 15 Artificiall Artificiall NNP A52264 951 16 . . . A52264 952 1 As as IN A52264 952 2 the the DT A52264 952 3 Radius Radius NNP A52264 952 4 10.0000000 10.0000000 CD A52264 952 5 To to IN A52264 952 6 the the DT A52264 952 7 co co NN A52264 952 8 - - NN A52264 952 9 sine sine NN A52264 952 10 of of IN A52264 952 11 BAC BAC NNP A52264 952 12 41.60 41.60 CD A52264 952 13 . . . A52264 953 1 9.8737843 9.8737843 CD A52264 953 2 So so RB A52264 953 3 is be VBZ A52264 953 4 the the DT A52264 953 5 base base NN A52264 953 6 AB AB NNP A52264 953 7 768 768 CD A52264 953 8 , , , A52264 953 9 2.8853612 2.8853612 CD A52264 953 10 To to IN A52264 953 11 the the DT A52264 953 12 perpendicular perpendicular JJ A52264 953 13 BC BC NNP A52264 953 14 574 574 CD A52264 953 15 : : : A52264 953 16 2.7591455 2.7591455 CD A52264 953 17 Thirdly thirdly RB A52264 953 18 , , , A52264 953 19 by by IN A52264 953 20 the the DT A52264 953 21 natural natural JJ A52264 953 22 numbers number NNS A52264 953 23 . . . A52264 954 1 As as IN A52264 954 2 the the DT A52264 954 3 co co NN A52264 954 4 - - NN A52264 954 5 secant secant NN A52264 954 6 of of IN A52264 954 7 BAC BAC NNP A52264 954 8 41.60 41.60 CD A52264 954 9 . . . A52264 955 1 15061915 15061915 CD A52264 955 2 Is be VBZ A52264 955 3 to to IN A52264 955 4 the the DT A52264 955 5 co co NN A52264 955 6 - - NN A52264 955 7 tang tang JJ A52264 955 8 . . . A52264 956 1 of of IN A52264 956 2 BAC BAC NNP A52264 956 3 41.60 41.60 CD A52264 956 4 . . . A52264 957 1 11263271 11263271 CD A52264 957 2 So so RB A52264 957 3 is be VBZ A52264 957 4 the the DT A52264 957 5 base base NN A52264 957 6 AB AB NNP A52264 957 7 768 768 CD A52264 957 8 To to IN A52264 957 9 the the DT A52264 957 10 perpendicular perpendicular JJ A52264 957 11 BC BC NNP A52264 957 12 574 574 CD A52264 957 13 By by IN A52264 957 14 the the DT A52264 957 15 artificiall artificiall NN A52264 957 16 . . . A52264 958 1 As as IN A52264 958 2 the the DT A52264 958 3 co co NN A52264 958 4 - - NN A52264 958 5 secant secant NN A52264 958 6 of of IN A52264 958 7 BAC BAC NNP A52264 958 8 41.60 41.60 CD A52264 958 9 . . . A52264 959 1 10 10 CD A52264 959 2 . . . A52264 960 1 1778802 1778802 CD A52264 960 2 Is be VBZ A52264 960 3 to to IN A52264 960 4 the the DT A52264 960 5 co co NN A52264 960 6 - - NN A52264 960 7 tang tang JJ A52264 960 8 . . . A52264 961 1 of of IN A52264 961 2 BAC BAC NNP A52264 961 3 41.60 41.60 CD A52264 961 4 10.0516645 10.0516645 CD A52264 961 5 So so RB A52264 961 6 is be VBZ A52264 961 7 the the DT A52264 961 8 base base NN A52264 961 9 AB AB NNP A52264 961 10 768 768 CD A52264 961 11 2.8853612 2.8853612 CD A52264 961 12 To to IN A52264 961 13 the the DT A52264 961 14 perpendicular perpendicular JJ A52264 961 15 BC BC NNP A52264 961 16 574 574 CD A52264 961 17 2.7591455 2.7591455 CD A52264 961 18 COROLLARY COROLLARY NNP A52264 961 19 . . . A52264 962 1 Hence hence RB A52264 962 2 it -PRON- PRP A52264 962 3 is be VBZ A52264 962 4 evident evident JJ A52264 962 5 , , , A52264 962 6 that that IN A52264 962 7 Radius Radius NNP A52264 962 8 is be VBZ A52264 962 9 a a DT A52264 962 10 mean mean JJ A52264 962 11 proportional proportional JJ A52264 962 12 between between IN A52264 962 13 the the DT A52264 962 14 sine sine NN A52264 962 15 of of IN A52264 962 16 an an DT A52264 962 17 arch arch NN A52264 962 18 , , , A52264 962 19 and and CC A52264 962 20 the the DT A52264 962 21 secant secant JJ A52264 962 22 complement complement NN A52264 962 23 of of IN A52264 962 24 the the DT A52264 962 25 same same JJ A52264 962 26 arch arch NN A52264 962 27 ; ; : A52264 962 28 also also RB A52264 962 29 between between IN A52264 962 30 the the DT A52264 962 31 tangent tangent NN A52264 962 32 of of IN A52264 962 33 an an DT A52264 962 34 arch arch NN A52264 962 35 , , , A52264 962 36 and and CC A52264 962 37 the the DT A52264 962 38 tangent tangent NN A52264 962 39 of of IN A52264 962 40 the the DT A52264 962 41 complement complement NN A52264 962 42 of of IN A52264 962 43 the the DT A52264 962 44 same same JJ A52264 962 45 arch arch NN A52264 962 46 . . . A52264 963 1 The the DT A52264 963 2 second second JJ A52264 963 3 Reason reason NN A52264 963 4 . . . A52264 964 1 The the DT A52264 964 2 sines sine NNS A52264 964 3 of of IN A52264 964 4 several several JJ A52264 964 5 arches arch NNS A52264 964 6 , , , A52264 964 7 and and CC A52264 964 8 the the DT A52264 964 9 secants secant NNS A52264 964 10 of of IN A52264 964 11 their -PRON- PRP$ A52264 964 12 complements complement NNS A52264 964 13 are be VBP A52264 964 14 reciprocally reciprocally RB A52264 964 15 proportional proportional JJ A52264 964 16 , , , A52264 964 17 that that RB A52264 964 18 is is RB A52264 964 19 , , , A52264 964 20 As as IN A52264 964 21 the the DT A52264 964 22 sine sine NN A52264 964 23 of of IN A52264 964 24 an an DT A52264 964 25 arch arch JJ A52264 964 26 or or CC A52264 964 27 angle angle NN A52264 964 28 , , , A52264 964 29 is be VBZ A52264 964 30 to to IN A52264 964 31 the the DT A52264 964 32 sine sine NN A52264 964 33 of of IN A52264 964 34 another another DT A52264 964 35 arch arch JJ A52264 964 36 or or CC A52264 964 37 angle angle NN A52264 964 38 : : : A52264 964 39 So so RB A52264 964 40 is be VBZ A52264 964 41 the the DT A52264 964 42 secant secant NN A52264 964 43 of of IN A52264 964 44 the the DT A52264 964 45 complement complement NN A52264 964 46 of of IN A52264 964 47 that that DT A52264 964 48 other other JJ A52264 964 49 , , , A52264 964 50 to to IN A52264 964 51 the the DT A52264 964 52 co co NN A52264 964 53 - - NN A52264 964 54 secant secant NN A52264 964 55 of of IN A52264 964 56 the the DT A52264 964 57 former former JJ A52264 964 58 . . . A52264 965 1 For for IN A52264 965 2 by by IN A52264 965 3 the the DT A52264 965 4 foregoing foregoing JJ A52264 965 5 Corollary Corollary NNP A52264 965 6 , , , A52264 965 7 Radius Radius NNP A52264 965 8 is be VBZ A52264 965 9 the the DT A52264 965 10 mean mean NN A52264 965 11 proportional proportional JJ A52264 965 12 between between IN A52264 965 13 the the DT A52264 965 14 sine sine NN A52264 965 15 of of IN A52264 965 16 any any DT A52264 965 17 arch arch NN A52264 965 18 and and CC A52264 965 19 the the DT A52264 965 20 co co NN A52264 965 21 - - NN A52264 965 22 secant secant NN A52264 965 23 of of IN A52264 965 24 the the DT A52264 965 25 same same JJ A52264 965 26 arch arch NN A52264 965 27 . . . A52264 966 1 Therefore therefore RB A52264 966 2 , , , A52264 966 3 whatsoever whatsoever RB A52264 966 4 sine sine NN A52264 966 5 is be VBZ A52264 966 6 multiplied multiply VBN A52264 966 7 by by IN A52264 966 8 the the DT A52264 966 9 secant secant NN A52264 966 10 of of IN A52264 966 11 the the DT A52264 966 12 complement complement NN A52264 966 13 , , , A52264 966 14 is be VBZ A52264 966 15 equall equall JJ A52264 966 16 to to IN A52264 966 17 the the DT A52264 966 18 square square NN A52264 966 19 of of IN A52264 966 20 Radius Radius NNP A52264 966 21 ; ; : A52264 966 22 so so IN A52264 966 23 that that IN A52264 966 24 all all DT A52264 966 25 rectangles rectangle NNS A52264 966 26 made make VBN A52264 966 27 of of IN A52264 966 28 the the DT A52264 966 29 sines sine NNS A52264 966 30 of of IN A52264 966 31 arches arch NNS A52264 966 32 and and CC A52264 966 33 of of IN A52264 966 34 the the DT A52264 966 35 secants secant NNS A52264 966 36 of of IN A52264 966 37 their -PRON- PRP$ A52264 966 38 complements complement NNS A52264 966 39 are be VBP A52264 966 40 equal equal JJ A52264 966 41 one one CD A52264 966 42 to to IN A52264 966 43 another another DT A52264 966 44 ; ; : A52264 966 45 but but CC A52264 966 46 equall equall NN A52264 966 47 rectangles rectangle NNS A52264 966 48 have have VBP A52264 966 49 their -PRON- PRP$ A52264 966 50 sides side NNS A52264 966 51 reciprocally reciprocally RB A52264 966 52 pro pro JJ A52264 966 53 portional portional JJ A52264 966 54 , , , A52264 966 55 by by IN A52264 966 56 the the DT A52264 966 57 tenth tenth JJ A52264 966 58 Theorem theorem NN A52264 966 59 of of IN A52264 966 60 the the DT A52264 966 61 second second JJ A52264 966 62 Chapter chapter NN A52264 966 63 . . . A52264 967 1 Therefore therefore RB A52264 967 2 the the DT A52264 967 3 sines sine NNS A52264 967 4 of of IN A52264 967 5 several several JJ A52264 967 6 arches arch NNS A52264 967 7 , , , A52264 967 8 & & CC A52264 967 9 c. c. NNP A52264 967 10 The the DT A52264 967 11 third third JJ A52264 967 12 Reason reason NN A52264 967 13 . . . A52264 968 1 The the DT A52264 968 2 tangents tangent NNS A52264 968 3 of of IN A52264 968 4 severall severall NNP A52264 968 5 arches arch NNS A52264 968 6 , , , A52264 968 7 and and CC A52264 968 8 the the DT A52264 968 9 tangents tangent NNS A52264 968 10 of of IN A52264 968 11 their -PRON- PRP$ A52264 968 12 complements complement NNS A52264 968 13 are be VBP A52264 968 14 reciprocally reciprocally RB A52264 968 15 proportional proportional JJ A52264 968 16 , , , A52264 968 17 that that RB A52264 968 18 is is RB A52264 968 19 , , , A52264 968 20 As as IN A52264 968 21 the the DT A52264 968 22 tangent tangent NN A52264 968 23 of of IN A52264 968 24 an an DT A52264 968 25 arch arch JJ A52264 968 26 or or CC A52264 968 27 angle angle NN A52264 968 28 , , , A52264 968 29 is be VBZ A52264 968 30 to to IN A52264 968 31 the the DT A52264 968 32 tangent tangent NN A52264 968 33 of of IN A52264 968 34 another another DT A52264 968 35 arch arch JJ A52264 968 36 or or CC A52264 968 37 angle angle NN A52264 968 38 , , , A52264 968 39 so so RB A52264 968 40 is be VBZ A52264 968 41 the the DT A52264 968 42 co co JJ A52264 968 43 - - NN A52264 968 44 tangent tangent NN A52264 968 45 of of IN A52264 968 46 that that DT A52264 968 47 other other JJ A52264 968 48 , , , A52264 968 49 to to IN A52264 968 50 the the DT A52264 968 51 co co NN A52264 968 52 - - NN A52264 968 53 tangent tangent NN A52264 968 54 of of IN A52264 968 55 the the DT A52264 968 56 former former JJ A52264 968 57 . . . A52264 969 1 For for IN A52264 969 2 by by IN A52264 969 3 the the DT A52264 969 4 foregoing foregoing JJ A52264 969 5 Corollary Corollary NNP A52264 969 6 , , , A52264 969 7 Radius Radius NNP A52264 969 8 is be VBZ A52264 969 9 the the DT A52264 969 10 mean mean JJ A52264 969 11 proportionall proportionall NN A52264 969 12 between between IN A52264 969 13 the the DT A52264 969 14 tangent tangent NN A52264 969 15 of of IN A52264 969 16 every every DT A52264 969 17 arch arch NN A52264 969 18 and and CC A52264 969 19 the the DT A52264 969 20 tangent tangent NN A52264 969 21 of of IN A52264 969 22 his -PRON- PRP$ A52264 969 23 complement complement NN A52264 969 24 . . . A52264 970 1 Therefore therefore RB A52264 970 2 the the DT A52264 970 3 Rectangle Rectangle NNP A52264 970 4 made make VBN A52264 970 5 of of IN A52264 970 6 any any DT A52264 970 7 tangent tangent NN A52264 970 8 , , , A52264 970 9 and and CC A52264 970 10 of of IN A52264 970 11 the the DT A52264 970 12 tangent tangent NN A52264 970 13 of of IN A52264 970 14 his -PRON- PRP$ A52264 970 15 complement complement NN A52264 970 16 , , , A52264 970 17 is be VBZ A52264 970 18 equall equall JJ A52264 970 19 to to IN A52264 970 20 the the DT A52264 970 21 square square NN A52264 970 22 of of IN A52264 970 23 Radius radius NN A52264 970 24 : : : A52264 970 25 so so IN A52264 970 26 that that IN A52264 970 27 all all DT A52264 970 28 rectangles rectangle NNS A52264 970 29 made make VBN A52264 970 30 of of IN A52264 970 31 the the DT A52264 970 32 tangents tangent NNS A52264 970 33 of of IN A52264 970 34 arches arch NNS A52264 970 35 , , , A52264 970 36 and and CC A52264 970 37 of of IN A52264 970 38 the the DT A52264 970 39 tangents tangent NNS A52264 970 40 of of IN A52264 970 41 their -PRON- PRP$ A52264 970 42 complements complement NNS A52264 970 43 are be VBP A52264 970 44 equall equall RB A52264 970 45 one one CD A52264 970 46 to to IN A52264 970 47 another another DT A52264 970 48 , , , A52264 970 49 but but CC A52264 970 50 equal equal JJ A52264 970 51 rectangles rectangle NNS A52264 970 52 , , , A52264 970 53 & & CC A52264 970 54 c. c. NNP A52264 970 55 as as IN A52264 970 56 before before RB A52264 970 57 . . . A52264 971 1 To to IN A52264 971 2 these these DT A52264 971 3 three three CD A52264 971 4 reasons reason NNS A52264 971 5 a a DT A52264 971 6 fourth fourth JJ A52264 971 7 may may MD A52264 971 8 be be VB A52264 971 9 added add VBN A52264 971 10 . . . A52264 972 1 For for IN A52264 972 2 in in IN A52264 972 3 the the DT A52264 972 4 rule rule NN A52264 972 5 of of IN A52264 972 6 proportion proportion NN A52264 972 7 ; ; : A52264 972 8 wherein wherein WRB A52264 972 9 there there EX A52264 972 10 are be VBP A52264 972 11 alwayes alwayes NNP A52264 972 12 four four CD A52264 972 13 termes terme NNS A52264 972 14 , , , A52264 972 15 three three CD A52264 972 16 given give VBN A52264 972 17 , , , A52264 972 18 the the DT A52264 972 19 fourth fourth JJ A52264 972 20 demanded demand VBD A52264 972 21 : : : A52264 972 22 It -PRON- PRP A52264 972 23 is be VBZ A52264 972 24 all all DT A52264 972 25 one one CD A52264 972 26 , , , A52264 972 27 whether whether IN A52264 972 28 of of IN A52264 972 29 the the DT A52264 972 30 two two CD A52264 972 31 middle middle JJ A52264 972 32 terms term NNS A52264 972 33 is be VBZ A52264 972 34 put put VBN A52264 972 35 in in IN A52264 972 36 the the DT A52264 972 37 second second JJ A52264 972 38 or or CC A52264 972 39 third third JJ A52264 972 40 place place NN A52264 972 41 . . . A52264 973 1 For for IN A52264 973 2 it -PRON- PRP A52264 973 3 is be VBZ A52264 973 4 all all DT A52264 973 5 one one CD A52264 973 6 , , , A52264 973 7 whether whether IN A52264 973 8 I -PRON- PRP A52264 973 9 shall shall MD A52264 973 10 say say VB A52264 973 11 ; ; : A52264 973 12 As as IN A52264 973 13 2 2 CD A52264 973 14 , , , A52264 973 15 to to IN A52264 973 16 4 4 CD A52264 973 17 ; ; : A52264 973 18 so so RB A52264 973 19 5 5 CD A52264 973 20 , , , A52264 973 21 to to IN A52264 973 22 10 10 CD A52264 973 23 : : : A52264 973 24 or or CC A52264 973 25 say say VB A52264 973 26 , , , A52264 973 27 as as IN A52264 973 28 2 2 CD A52264 973 29 , , , A52264 973 30 to to IN A52264 973 31 5 5 CD A52264 973 32 ; ; : A52264 973 33 so so RB A52264 973 34 4 4 CD A52264 973 35 , , , A52264 973 36 to to IN A52264 973 37 10 10 CD A52264 973 38 : : : A52264 973 39 and and CC A52264 973 40 from from IN A52264 973 41 hence hence RB A52264 973 42 every every DT A52264 973 43 example example NN A52264 973 44 in in IN A52264 973 45 any any DT A52264 973 46 triangle triangle NN A52264 973 47 may may MD A52264 973 48 be be VB A52264 973 49 varied varied JJ A52264 973 50 , , , A52264 973 51 and and CC A52264 973 52 thus thus RB A52264 973 53 you -PRON- PRP A52264 973 54 see see VBP A52264 973 55 the the DT A52264 973 56 reasons reason NNS A52264 973 57 of of IN A52264 973 58 varying vary VBG A52264 973 59 the the DT A52264 973 60 termes terme NNS A52264 973 61 of of IN A52264 973 62 proportion proportion NN A52264 973 63 , , , A52264 973 64 we -PRON- PRP A52264 973 65 come come VBP A52264 973 66 now now RB A52264 973 67 to to TO A52264 973 68 shew shew VB A52264 973 69 you -PRON- PRP A52264 973 70 the the DT A52264 973 71 various various JJ A52264 973 72 proportions proportion NNS A52264 973 73 themselves -PRON- PRP A52264 973 74 of of IN A52264 973 75 the the DT A52264 973 76 severall severall NNP A52264 973 77 Cases case NNS A52264 973 78 in in IN A52264 973 79 right right RB A52264 973 80 angled angle VBN A52264 973 81 plain plain JJ A52264 973 82 triangles triangle NNS A52264 973 83 . . . A52264 974 1 Right right RB A52264 974 2 angled angle VBN A52264 974 3 plain plain JJ A52264 974 4 triangles triangle NNS A52264 974 5 may may MD A52264 974 6 be be VB A52264 974 7 distinguished distinguish VBN A52264 974 8 into into IN A52264 974 9 seven seven CD A52264 974 10 Cases case NNS A52264 974 11 ; ; : A52264 974 12 whereof whereof IN A52264 974 13 those those DT A52264 974 14 in in IN A52264 974 15 which which WDT A52264 974 16 a a DT A52264 974 17 side side NN A52264 974 18 is be VBZ A52264 974 19 required require VBN A52264 974 20 , , , A52264 974 21 viz viz NN A52264 974 22 . . . A52264 975 1 three three CD A52264 975 2 , , , A52264 975 3 may may MD A52264 975 4 be be VB A52264 975 5 found find VBN A52264 975 6 by by IN A52264 975 7 a a DT A52264 975 8 triple triple JJ A52264 975 9 proportion proportion NN A52264 975 10 ; ; : A52264 975 11 and and CC A52264 975 12 those those DT A52264 975 13 in in IN A52264 975 14 which which WDT A52264 975 15 an an DT A52264 975 16 angle angle NN A52264 975 17 is be VBZ A52264 975 18 required require VBN A52264 975 19 , , , A52264 975 20 viz viz NN A52264 975 21 . . . A52264 976 1 three three CD A52264 976 2 , , , A52264 976 3 may may MD A52264 976 4 be be VB A52264 976 5 found find VBN A52264 976 6 by by IN A52264 976 7 a a DT A52264 976 8 double double JJ A52264 976 9 proportion proportion NN A52264 976 10 . . . A52264 977 1 CASE CASE NNP A52264 977 2 1 1 CD A52264 977 3 . . . A52264 978 1 The the DT A52264 978 2 angles angle NNS A52264 978 3 and and CC A52264 978 4 base base NN A52264 978 5 given give VBN A52264 978 6 , , , A52264 978 7 to to TO A52264 978 8 finde finde NNP A52264 978 9 the the DT A52264 978 10 perpendicular perpendicular NN A52264 978 11 . . . A52264 979 1 First first RB A52264 979 2 , , , A52264 979 3 As as RB A52264 979 4 sine sine VBP A52264 979 5 the the DT A52264 979 6 angle angle NN A52264 979 7 at at IN A52264 979 8 the the DT A52264 979 9 perpendicular perpendicular NN A52264 979 10 , , , A52264 979 11 is be VBZ A52264 979 12 to to IN A52264 979 13 the the DT A52264 979 14 base base NN A52264 979 15 : : : A52264 979 16 so so RB A52264 979 17 is be VBZ A52264 979 18 sine sine JJ A52264 979 19 the the DT A52264 979 20 angle angle NN A52264 979 21 at at IN A52264 979 22 the the DT A52264 979 23 base base NN A52264 979 24 , , , A52264 979 25 to to IN A52264 979 26 the the DT A52264 979 27 perpendicular perpendicular NN A52264 979 28 . . . A52264 980 1 Or or CC A52264 980 2 secondly secondly RB A52264 980 3 , , , A52264 980 4 thus thus RB A52264 980 5 : : : A52264 980 6 As as IN A52264 980 7 Radius Radius NNP A52264 980 8 , , , A52264 980 9 to to IN A52264 980 10 the the DT A52264 980 11 base base NN A52264 980 12 ; ; : A52264 980 13 so so CC A52264 980 14 tangent tangent VB A52264 980 15 the the DT A52264 980 16 angle angle NN A52264 980 17 at at IN A52264 980 18 the the DT A52264 980 19 base base NN A52264 980 20 , , , A52264 980 21 to to IN A52264 980 22 the the DT A52264 980 23 perpendicular perpendicular NN A52264 980 24 . . . A52264 981 1 Or or CC A52264 981 2 thirdly thirdly RB A52264 981 3 , , , A52264 981 4 thus thus RB A52264 981 5 : : : A52264 981 6 As as IN A52264 981 7 the the DT A52264 981 8 tangent tangent NN A52264 981 9 of of IN A52264 981 10 the the DT A52264 981 11 angle angle NN A52264 981 12 at at IN A52264 981 13 the the DT A52264 981 14 perpendicular perpendicular NN A52264 981 15 , , , A52264 981 16 is be VBZ A52264 981 17 to to IN A52264 981 18 the the DT A52264 981 19 base base NN A52264 981 20 : : : A52264 981 21 so so RB A52264 981 22 is be VBZ A52264 981 23 Radius Radius NNP A52264 981 24 , , , A52264 981 25 to to IN A52264 981 26 the the DT A52264 981 27 perpendicular perpendicular NN A52264 981 28 . . . A52264 982 1 CASE CASE NNP A52264 982 2 2 2 CD A52264 982 3 . . . A52264 983 1 The the DT A52264 983 2 angles angle NNS A52264 983 3 and and CC A52264 983 4 base base NN A52264 983 5 given give VBN A52264 983 6 , , , A52264 983 7 to to TO A52264 983 8 finde finde NNP A52264 983 9 the the DT A52264 983 10 hypothenusal hypothenusal NN A52264 983 11 . . . A52264 984 1 First first RB A52264 984 2 , , , A52264 984 3 As as IN A52264 984 4 the the DT A52264 984 5 sine sine NN A52264 984 6 of of IN A52264 984 7 the the DT A52264 984 8 angle angle NN A52264 984 9 at at IN A52264 984 10 the the DT A52264 984 11 perpendicular perpendicular NN A52264 984 12 , , , A52264 984 13 is be VBZ A52264 984 14 to to IN A52264 984 15 the the DT A52264 984 16 base base NN A52264 984 17 ; ; : A52264 984 18 so so RB A52264 984 19 is be VBZ A52264 984 20 Radius Radius NNP A52264 984 21 , , , A52264 984 22 to to IN A52264 984 23 the the DT A52264 984 24 hypothenusal hypothenusal NN A52264 984 25 . . . A52264 985 1 Or or CC A52264 985 2 secondly secondly RB A52264 985 3 thus thus RB A52264 985 4 : : : A52264 985 5 As as IN A52264 985 6 Radius Radius NNP A52264 985 7 , , , A52264 985 8 is be VBZ A52264 985 9 to to IN A52264 985 10 the the DT A52264 985 11 base base NN A52264 985 12 ; ; : A52264 985 13 so so CC A52264 985 14 the the DT A52264 985 15 secant secant NN A52264 985 16 of of IN A52264 985 17 the the DT A52264 985 18 angle angle NN A52264 985 19 at at IN A52264 985 20 the the DT A52264 985 21 base base NN A52264 985 22 , , , A52264 985 23 to to IN A52264 985 24 the the DT A52264 985 25 hypothenusal hypothenusal NN A52264 985 26 . . . A52264 986 1 Or or CC A52264 986 2 thirdly thirdly RB A52264 986 3 , , , A52264 986 4 thus thus RB A52264 986 5 : : : A52264 986 6 As as IN A52264 986 7 the the DT A52264 986 8 tangent tangent NN A52264 986 9 of of IN A52264 986 10 the the DT A52264 986 11 angle angle NN A52264 986 12 at at IN A52264 986 13 the the DT A52264 986 14 perpendicular perpendicular NN A52264 986 15 , , , A52264 986 16 is be VBZ A52264 986 17 to to IN A52264 986 18 the the DT A52264 986 19 base base NN A52264 986 20 : : : A52264 986 21 so so RB A52264 986 22 is be VBZ A52264 986 23 the the DT A52264 986 24 secant secant NN A52264 986 25 of of IN A52264 986 26 the the DT A52264 986 27 same same JJ A52264 986 28 angle angle NN A52264 986 29 in in IN A52264 986 30 proportion proportion NN A52264 986 31 to to IN A52264 986 32 the the DT A52264 986 33 hypothenusal hypothenusal NN A52264 986 34 . . . A52264 987 1 CASE CASE NNP A52264 987 2 3 3 CD A52264 987 3 . . . A52264 988 1 The the DT A52264 988 2 angles angle NNS A52264 988 3 and and CC A52264 988 4 hypothenusal hypothenusal NNP A52264 988 5 given give VBN A52264 988 6 , , , A52264 988 7 to to TO A52264 988 8 finde finde VB A52264 988 9 the the DT A52264 988 10 base base NN A52264 988 11 . . . A52264 989 1 First first RB A52264 989 2 , , , A52264 989 3 As as IN A52264 989 4 Radius Radius NNP A52264 989 5 , , , A52264 989 6 to to IN A52264 989 7 the the DT A52264 989 8 hypothenusal hypothenusal NN A52264 989 9 : : : A52264 989 10 so so RB A52264 989 11 the the DT A52264 989 12 sine sine NN A52264 989 13 of of IN A52264 989 14 the the DT A52264 989 15 angle angle NN A52264 989 16 at at IN A52264 989 17 the the DT A52264 989 18 perpendicular perpendicular NN A52264 989 19 , , , A52264 989 20 to to IN A52264 989 21 the the DT A52264 989 22 base base NN A52264 989 23 . . . A52264 990 1 Or or CC A52264 990 2 secondly secondly RB A52264 990 3 , , , A52264 990 4 thus thus RB A52264 990 5 : : : A52264 990 6 As as IN A52264 990 7 the the DT A52264 990 8 secant secant NN A52264 990 9 of of IN A52264 990 10 the the DT A52264 990 11 angle angle NN A52264 990 12 at at IN A52264 990 13 the the DT A52264 990 14 base base NN A52264 990 15 , , , A52264 990 16 to to IN A52264 990 17 the the DT A52264 990 18 hypothenusal hypothenusal NN A52264 990 19 : : : A52264 990 20 so so RB A52264 990 21 is be VBZ A52264 990 22 Radius Radius NNP A52264 990 23 , , , A52264 990 24 to to IN A52264 990 25 the the DT A52264 990 26 base base NN A52264 990 27 . . . A52264 991 1 Or or CC A52264 991 2 thirdly thirdly RB A52264 991 3 , , , A52264 991 4 thus thus RB A52264 991 5 : : : A52264 991 6 As as IN A52264 991 7 the the DT A52264 991 8 secant secant NN A52264 991 9 of of IN A52264 991 10 the the DT A52264 991 11 angle angle NN A52264 991 12 at at IN A52264 991 13 the the DT A52264 991 14 perpendicular perpendicular NN A52264 991 15 , , , A52264 991 16 to to IN A52264 991 17 the the DT A52264 991 18 hypothenusal hypothenusal NN A52264 991 19 : : : A52264 991 20 so so CC A52264 991 21 the the DT A52264 991 22 tangent tangent NN A52264 991 23 of of IN A52264 991 24 the the DT A52264 991 25 same same JJ A52264 991 26 angle angle NN A52264 991 27 , , , A52264 991 28 to to IN A52264 991 29 the the DT A52264 991 30 base base NN A52264 991 31 . . . A52264 992 1 CASE CASE NNP A52264 992 2 4 4 CD A52264 992 3 . . . A52264 993 1 The the DT A52264 993 2 base base NN A52264 993 3 and and CC A52264 993 4 perpendicular perpendicular JJ A52264 993 5 given give VBN A52264 993 6 , , , A52264 993 7 to to TO A52264 993 8 finde finde VB A52264 993 9 an an DT A52264 993 10 angle angle NN A52264 993 11 . . . A52264 994 1 First first RB A52264 994 2 , , , A52264 994 3 As as IN A52264 994 4 the the DT A52264 994 5 base base NN A52264 994 6 , , , A52264 994 7 to to IN A52264 994 8 Radius radius NN A52264 994 9 : : : A52264 994 10 so so CC A52264 994 11 the the DT A52264 994 12 perpendicular perpendicular JJ A52264 994 13 , , , A52264 994 14 to to IN A52264 994 15 the the DT A52264 994 16 tangent tangent NN A52264 994 17 of of IN A52264 994 18 the the DT A52264 994 19 angle angle NN A52264 994 20 at at IN A52264 994 21 the the DT A52264 994 22 base base NN A52264 994 23 . . . A52264 995 1 Or or CC A52264 995 2 secondly secondly RB A52264 995 3 , , , A52264 995 4 thus thus RB A52264 995 5 : : : A52264 995 6 As as IN A52264 995 7 the the DT A52264 995 8 perpendicular perpendicular NN A52264 995 9 , , , A52264 995 10 is be VBZ A52264 995 11 to to IN A52264 995 12 Radius radius NN A52264 995 13 : : : A52264 995 14 so so CC A52264 995 15 the the DT A52264 995 16 base base NN A52264 995 17 , , , A52264 995 18 to to IN A52264 995 19 the the DT A52264 995 20 tangent tangent NN A52264 995 21 of of IN A52264 995 22 the the DT A52264 995 23 angle angle NN A52264 995 24 at at IN A52264 995 25 the the DT A52264 995 26 perpendicular perpendicular NN A52264 995 27 . . . A52264 996 1 CASE CASE NNP A52264 996 2 5 5 CD A52264 996 3 . . . A52264 997 1 The the DT A52264 997 2 base base NN A52264 997 3 and and CC A52264 997 4 hypothenusal hypothenusal NNP A52264 997 5 given given NNP A52264 997 6 , , , A52264 997 7 to to TO A52264 997 8 finde finde VB A52264 997 9 an an DT A52264 997 10 angle angle NN A52264 997 11 . . . A52264 998 1 1 1 LS A52264 998 2 . . . A52264 999 1 As as IN A52264 999 2 the the DT A52264 999 3 hypothenusal hypothenusal NN A52264 999 4 , , , A52264 999 5 is be VBZ A52264 999 6 to to IN A52264 999 7 Radius radius NN A52264 999 8 : : : A52264 999 9 so so RB A52264 999 10 is be VBZ A52264 999 11 the the DT A52264 999 12 base base NN A52264 999 13 , , , A52264 999 14 to to IN A52264 999 15 the the DT A52264 999 16 sine sine NN A52264 999 17 of of IN A52264 999 18 the the DT A52264 999 19 angle angle NN A52264 999 20 at at IN A52264 999 21 the the DT A52264 999 22 perpendicular perpendicular NN A52264 999 23 . . . A52264 1000 1 Or or CC A52264 1000 2 secondly secondly RB A52264 1000 3 thus thus RB A52264 1000 4 , , , A52264 1000 5 As as IN A52264 1000 6 the the DT A52264 1000 7 base base NN A52264 1000 8 is be VBZ A52264 1000 9 to to IN A52264 1000 10 Radius Radius NNP A52264 1000 11 ; ; : A52264 1000 12 so so RB A52264 1000 13 is be VBZ A52264 1000 14 the the DT A52264 1000 15 hypothenusal hypothenusal NN A52264 1000 16 , , , A52264 1000 17 to to IN A52264 1000 18 the the DT A52264 1000 19 secant secant NN A52264 1000 20 of of IN A52264 1000 21 the the DT A52264 1000 22 angle angle NN A52264 1000 23 at at IN A52264 1000 24 the the DT A52264 1000 25 base base NN A52264 1000 26 . . . A52264 1001 1 CASE CASE NNP A52264 1001 2 6 6 CD A52264 1001 3 . . . A52264 1002 1 The the DT A52264 1002 2 base base NN A52264 1002 3 and and CC A52264 1002 4 perpendicular perpendicular JJ A52264 1002 5 given give VBN A52264 1002 6 , , , A52264 1002 7 to to TO A52264 1002 8 finde finde NNP A52264 1002 9 the the DT A52264 1002 10 hypothenusal hypothenusal NN A52264 1002 11 . . . A52264 1003 1 First first RB A52264 1003 2 , , , A52264 1003 3 finde finde VB A52264 1003 4 the the DT A52264 1003 5 angle angle NN A52264 1003 6 at at IN A52264 1003 7 the the DT A52264 1003 8 perpendicular perpendicular JJ A52264 1003 9 , , , A52264 1003 10 by by IN A52264 1003 11 the the DT A52264 1003 12 fourth fourth JJ A52264 1003 13 Case case NN A52264 1003 14 : : : A52264 1003 15 Then then RB A52264 1003 16 , , , A52264 1003 17 As as IN A52264 1003 18 the the DT A52264 1003 19 sine sine NN A52264 1003 20 of of IN A52264 1003 21 the the DT A52264 1003 22 angle angle NN A52264 1003 23 at at IN A52264 1003 24 the the DT A52264 1003 25 perpendicular perpendicular NN A52264 1003 26 , , , A52264 1003 27 is be VBZ A52264 1003 28 to to IN A52264 1003 29 the the DT A52264 1003 30 base base NN A52264 1003 31 : : : A52264 1003 32 so so RB A52264 1003 33 is be VBZ A52264 1003 34 Radius Radius NNP A52264 1003 35 , , , A52264 1003 36 to to IN A52264 1003 37 the the DT A52264 1003 38 hypothenusal hypothenusal NN A52264 1003 39 . . . A52264 1004 1 Otherwise otherwise RB A52264 1004 2 by by IN A52264 1004 3 the the DT A52264 1004 4 Logarithmes logarithme NNS A52264 1004 5 of of IN A52264 1004 6 absolute absolute JJ A52264 1004 7 numbers number NNS A52264 1004 8 . . . A52264 1005 1 From from IN A52264 1005 2 the the DT A52264 1005 3 doubled double VBN A52264 1005 4 Logarithme Logarithme NNP A52264 1005 5 of of IN A52264 1005 6 the the DT A52264 1005 7 greater great JJR A52264 1005 8 side side NN A52264 1005 9 , , , A52264 1005 10 whether whether IN A52264 1005 11 base base NN A52264 1005 12 or or CC A52264 1005 13 perpendicular perpendicular JJ A52264 1005 14 , , , A52264 1005 15 substract substract VB A52264 1005 16 the the DT A52264 1005 17 Logarithme Logarithme NNP A52264 1005 18 of of IN A52264 1005 19 the the DT A52264 1005 20 lesse lesse NN A52264 1005 21 , , , A52264 1005 22 and and CC A52264 1005 23 to to IN A52264 1005 24 the the DT A52264 1005 25 absolute absolute JJ A52264 1005 26 number number NN A52264 1005 27 answering answer VBG A52264 1005 28 to to IN A52264 1005 29 the the DT A52264 1005 30 difference difference NN A52264 1005 31 of of IN A52264 1005 32 the the DT A52264 1005 33 Logarithmes logarithme NNS A52264 1005 34 adde adde VBP A52264 1005 35 the the DT A52264 1005 36 lesse lesse NN A52264 1005 37 , , , A52264 1005 38 the the DT A52264 1005 39 half half JJ A52264 1005 40 summe summe NN A52264 1005 41 of of IN A52264 1005 42 the the DT A52264 1005 43 Logarithmes logarithme NNS A52264 1005 44 of of IN A52264 1005 45 the the DT A52264 1005 46 summe summe NN A52264 1005 47 , , , A52264 1005 48 and and CC A52264 1005 49 the the DT A52264 1005 50 lesse lesse NNP A52264 1005 51 side side NN A52264 1005 52 , , , A52264 1005 53 is be VBZ A52264 1005 54 the the DT A52264 1005 55 Logarithme Logarithme NNP A52264 1005 56 of of IN A52264 1005 57 the the DT A52264 1005 58 hypothenusal hypothenusal NN A52264 1005 59 inquired inquire VBD A52264 1005 60 . . . A52264 1006 1 The the DT A52264 1006 2 Illustration Illustration NNP A52264 1006 3 Arithmetical Arithmetical NNP A52264 1006 4 . . . A52264 1007 1 Let let VB A52264 1007 2 the the DT A52264 1007 3 base base NN A52264 1007 4 be be VB A52264 1007 5 768 768 CD A52264 1007 6 , , , A52264 1007 7 and and CC A52264 1007 8 the the DT A52264 1007 9 perpendicular perpendicular JJ A52264 1007 10 320 320 CD A52264 1007 11 . . . A52264 1008 1 The the DT A52264 1008 2 Logarithme Logarithme NNP A52264 1008 3 of of IN A52264 1008 4 768 768 CD A52264 1008 5 is be VBZ A52264 1008 6 2.8853612 2.8853612 CD A52264 1008 7         _SP A52264 1008 8 This this DT A52264 1008 9 Logarithme Logarithme NNP A52264 1008 10 doubled double VBD A52264 1008 11 is be VBZ A52264 1008 12 5.7707224 5.7707224 CD A52264 1008 13 From from IN A52264 1008 14 which which WDT A52264 1008 15 substr substr NN A52264 1008 16 . . . A52264 1009 1 the the DT A52264 1009 2 Log Log NNP A52264 1009 3 . . . A52264 1010 1 of of IN A52264 1010 2 320 320 CD A52264 1010 3 , , , A52264 1010 4 2.5051500 2.5051500 CD A52264 1010 5 The the DT A52264 1010 6 remain remain NN A52264 1010 7 . . . A52264 1011 1 is be VBZ A52264 1011 2 the the DT A52264 1011 3 Log Log NNP A52264 1011 4 . . . A52264 1012 1 of of IN A52264 1012 2 1843 1843 CD A52264 1012 3 : : : A52264 1012 4 3.2655724 3.2655724 CD A52264 1012 5 To to TO A52264 1012 6 which which WDT A52264 1012 7 the the DT A52264 1012 8 lesser less JJR A52264 1012 9 side side NN A52264 1012 10 being be VBG A52264 1012 11 added add VBN A52264 1012 12 320 320 CD A52264 1012 13 , , , A52264 1012 14 their -PRON- PRP$ A52264 1012 15 aggregate aggregate NN A52264 1012 16 is be VBZ A52264 1012 17 2163 2163 CD A52264 1012 18 . . . A52264 1013 1 The the DT A52264 1013 2 Logarithme Logarithme NNP A52264 1013 3 of of IN A52264 1013 4 2163 2163 CD A52264 1013 5 is be VBZ A52264 1013 6 3.3350565 3.3350565 CD A52264 1013 7 The the DT A52264 1013 8 Logarithme Logarithme NNP A52264 1013 9 of of IN A52264 1013 10 320 320 CD A52264 1013 11 is be VBZ A52264 1013 12 2.5051500 2.5051500 CD A52264 1013 13 The the DT A52264 1013 14 summe summe NN A52264 1013 15 is be VBZ A52264 1013 16 5.8402065 5.8402065 CD A52264 1013 17 The the DT A52264 1013 18 half half JJ A52264 1013 19 sum sum NN A52264 1013 20 is be VBZ A52264 1013 21 the the DT A52264 1013 22 Log Log NNP A52264 1013 23 . . . A52264 1014 1 of of IN A52264 1014 2 832 832 CD A52264 1014 3 . . . A52264 1015 1 2.9201032 2.9201032 CD A52264 1015 2 which which WDT A52264 1015 3 is be VBZ A52264 1015 4 the the DT A52264 1015 5 length length NN A52264 1015 6 of of IN A52264 1015 7 the the DT A52264 1015 8 hypothenusal hypothenusal NN A52264 1015 9 inquired inquire VBD A52264 1015 10 . . . A52264 1016 1 CASE CASE NNP A52264 1016 2 7 7 CD A52264 1016 3 . . . A52264 1017 1 The the DT A52264 1017 2 base base NN A52264 1017 3 and and CC A52264 1017 4 hypothenusal hypothenusal NNP A52264 1017 5 given given NNP A52264 1017 6 , , , A52264 1017 7 to to TO A52264 1017 8 finde finde NNP A52264 1017 9 the the DT A52264 1017 10 perpendicular perpendicular NN A52264 1017 11 . . . A52264 1018 1 The the DT A52264 1018 2 resolve resolve NN A52264 1018 3 this this DT A52264 1018 4 Probleme Probleme NNP A52264 1018 5 by by IN A52264 1018 6 the the DT A52264 1018 7 Canon Canon NNP A52264 1018 8 , , , A52264 1018 9 there there EX A52264 1018 10 is be VBZ A52264 1018 11 required require VBN A52264 1018 12 a a DT A52264 1018 13 double double JJ A52264 1018 14 operation operation NN A52264 1018 15 : : : A52264 1018 16 First first RB A52264 1018 17 , , , A52264 1018 18 by by IN A52264 1018 19 the the DT A52264 1018 20 5 5 CD A52264 1018 21 Case Case NNP A52264 1018 22 , , , A52264 1018 23 finde finde VB A52264 1018 24 an an DT A52264 1018 25 angle angle NN A52264 1018 26 . . . A52264 1019 1 Secondly secondly RB A52264 1019 2 , , , A52264 1019 3 by by IN A52264 1019 4 the the DT A52264 1019 5 first first JJ A52264 1019 6 Case Case NNP A52264 1019 7 , , , A52264 1019 8 finde finde IN A52264 1019 9 the the DT A52264 1019 10 perpendicular perpendicular NN A52264 1019 11 . . . A52264 1020 1 But but CC A52264 1020 2 Mr. Mr. NNP A52264 1020 3 Briggs Briggs NNP A52264 1020 4 resolves resolve VBZ A52264 1020 5 this this DT A52264 1020 6 Case case NN A52264 1020 7 more more RBR A52264 1020 8 readily readily RB A52264 1020 9 , , , A52264 1020 10 by by IN A52264 1020 11 the the DT A52264 1020 12 Logarithmes logarithme NNS A52264 1020 13 of of IN A52264 1020 14 the the DT A52264 1020 15 absolute absolute JJ A52264 1020 16 numbers number NNS A52264 1020 17 , , , A52264 1020 18 Briggs Briggs NNP A52264 1020 19 Arithmetica Arithmetica NNP A52264 1020 20 Logarith Logarith NNP A52264 1020 21 . . . A52264 1021 1 cap cap NN A52264 1021 2 . . . A52264 1022 1 17 17 CD A52264 1022 2 . . . A52264 1023 1 Take take VB A52264 1023 2 the the DT A52264 1023 3 Logarithmes logarithme NNS A52264 1023 4 of of IN A52264 1023 5 the the DT A52264 1023 6 summe summe NN A52264 1023 7 and and CC A52264 1023 8 difference difference NN A52264 1023 9 of of IN A52264 1023 10 the the DT A52264 1023 11 hypothenusal hypothenusal NN A52264 1023 12 and and CC A52264 1023 13 side side NN A52264 1023 14 given give VBN A52264 1023 15 , , , A52264 1023 16 half half PDT A52264 1023 17 the the DT A52264 1023 18 summe summe NN A52264 1023 19 of of IN A52264 1023 20 those those DT A52264 1023 21 two two CD A52264 1023 22 Logarithmes logarithme NNS A52264 1023 23 , , , A52264 1023 24 is be VBZ A52264 1023 25 the the DT A52264 1023 26 Logarithme Logarithme NNP A52264 1023 27 of of IN A52264 1023 28 the the DT A52264 1023 29 perpendicular perpendicular JJ A52264 1023 30 , , , A52264 1023 31 or or CC A52264 1023 32 side side NN A52264 1023 33 inquired inquire VBD A52264 1023 34 . . . A52264 1024 1 As as IN A52264 1024 2 let let VB A52264 1024 3 the the DT A52264 1024 4 hypothen hypothen NN A52264 1024 5 . . . A52264 1025 1 be be VB A52264 1025 2     _SP A52264 1025 3 832 832 CD A52264 1025 4     _SP A52264 1025 5 The the DT A52264 1025 6 side side NN A52264 1025 7 given give VBN A52264 1025 8     _SP A52264 1025 9 768 768 CD A52264 1025 10                 _SP A52264 1025 11 Logarith Logarith NNP A52264 1025 12 . . . A52264 1026 1 The the DT A52264 1026 2 summe summe NN A52264 1026 3 is be VBZ A52264 1026 4     _SP A52264 1026 5 1600 1600 CD A52264 1026 6 3.2041200 3.2041200 CD A52264 1026 7 The the DT A52264 1026 8 difference difference NN A52264 1026 9 is be VBZ A52264 1026 10     _SP A52264 1026 11 64 64 CD A52264 1026 12 1.8061800 1.8061800 CD A52264 1026 13                     _SP A52264 1026 14 The the DT A52264 1026 15 summe summe NN A52264 1026 16 is be VBZ A52264 1026 17 , , , A52264 1026 18     _SP A52264 1026 19 5.0103000 5.0103000 CD A52264 1026 20 The the DT A52264 1026 21 half half JJ A52264 1026 22 sum sum NN A52264 1026 23 is be VBZ A52264 1026 24 the the DT A52264 1026 25 Logarith Logarith NNP A52264 1026 26 . . . A52264 1027 1 of of IN A52264 1027 2 320 320 CD A52264 1027 3 the the DT A52264 1027 4 side side NN A52264 1027 5 inquired inquire VBD A52264 1027 6 . . . A52264 1028 1 2.5051500 2.5051500 CD A52264 1028 2 The the DT A52264 1028 3 two two CD A52264 1028 4 Axiomes Axiomes NNPS A52264 1028 5 following follow VBG A52264 1028 6 are be VBP A52264 1028 7 true true JJ A52264 1028 8 in in IN A52264 1028 9 all all DT A52264 1028 10 plain plain JJ A52264 1028 11 triangles triangle NNS A52264 1028 12 , , , A52264 1028 13 but but CC A52264 1028 14 are be VBP A52264 1028 15 chiefly chiefly RB A52264 1028 16 intended intend VBN A52264 1028 17 for for IN A52264 1028 18 the the DT A52264 1028 19 oblique oblique NN A52264 1028 20 angled angle VBN A52264 1028 21 ; ; : A52264 1028 22 which which WDT A52264 1028 23 now now RB A52264 1028 24 we -PRON- PRP A52264 1028 25 come come VBP A52264 1028 26 to to TO A52264 1028 27 handle handle VB A52264 1028 28 . . . A52264 1029 1 II ii CD A52264 1029 2 . . . A52264 1030 1 Of of IN A52264 1030 2 plain plain JJ A52264 1030 3 oblique oblique NN A52264 1030 4 angled angle VBD A52264 1030 5 Triangles triangle NNS A52264 1030 6 . . . A52264 1031 1 In in IN A52264 1031 2 a a DT A52264 1031 3 plain plain JJ A52264 1031 4 oblique oblique NN A52264 1031 5 angled angle VBN A52264 1031 6 triangle triangle NN A52264 1031 7 , , , A52264 1031 8 there there EX A52264 1031 9 are be VBP A52264 1031 10 four four CD A52264 1031 11 varieties variety NNS A52264 1031 12 . . . A52264 1032 1 1 1 LS A52264 1032 2 . . . A52264 1033 1 All all PDT A52264 1033 2 the the DT A52264 1033 3 angles angle NNS A52264 1033 4 may may MD A52264 1033 5 be be VB A52264 1033 6 given give VBN A52264 1033 7 , , , A52264 1033 8 ( ( -LRB- A52264 1033 9 for for IN A52264 1033 10 when when WRB A52264 1033 11 two two CD A52264 1033 12 are be VBP A52264 1033 13 given give VBN A52264 1033 14 , , , A52264 1033 15 the the DT A52264 1033 16 third third JJ A52264 1033 17 is be VBZ A52264 1033 18 given give VBN A52264 1033 19 by by IN A52264 1033 20 consequence consequence NN A52264 1033 21 ) ) -RRB- A52264 1033 22 and and CC A52264 1033 23 one one CD A52264 1033 24 side side NN A52264 1033 25 , , , A52264 1033 26 and and CC A52264 1033 27 the the DT A52264 1033 28 other other JJ A52264 1033 29 two two CD A52264 1033 30 sides side NNS A52264 1033 31 demanded demand VBD A52264 1033 32 . . . A52264 1034 1 2 2 LS A52264 1034 2 . . . A52264 1035 1 Two two CD A52264 1035 2 sides side NNS A52264 1035 3 with with IN A52264 1035 4 an an DT A52264 1035 5 angle angle NN A52264 1035 6 opposite opposite NN A52264 1035 7 to to IN A52264 1035 8 one one CD A52264 1035 9 of of IN A52264 1035 10 them -PRON- PRP A52264 1035 11 may may MD A52264 1035 12 be be VB A52264 1035 13 given give VBN A52264 1035 14 , , , A52264 1035 15 and and CC A52264 1035 16 the the DT A52264 1035 17 angle angle NN A52264 1035 18 opposite opposite IN A52264 1035 19 to to IN A52264 1035 20 the the DT A52264 1035 21 other other JJ A52264 1035 22 , , , A52264 1035 23 with with IN A52264 1035 24 the the DT A52264 1035 25 third third JJ A52264 1035 26 side side NN A52264 1035 27 are be VBP A52264 1035 28 demanded demand VBN A52264 1035 29 . . . A52264 1036 1 In in IN A52264 1036 2 both both DT A52264 1036 3 which which WDT A52264 1036 4 cases case VBZ A52264 1036 5 the the DT A52264 1036 6 first first JJ A52264 1036 7 Axiome Axiome NNP A52264 1036 8 is be VBZ A52264 1036 9 fully fully RB A52264 1036 10 sufficient sufficient JJ A52264 1036 11 . . . A52264 1037 1 3 3 LS A52264 1037 2 . . . A52264 1038 1 Two two CD A52264 1038 2 sides side NNS A52264 1038 3 with with IN A52264 1038 4 an an DT A52264 1038 5 angle angle NN A52264 1038 6 comprehended comprehend VBN A52264 1038 7 by by IN A52264 1038 8 them -PRON- PRP A52264 1038 9 may may MD A52264 1038 10 be be VB A52264 1038 11 given give VBN A52264 1038 12 , , , A52264 1038 13 and and CC A52264 1038 14 the the DT A52264 1038 15 other other JJ A52264 1038 16 two two CD A52264 1038 17 angles angle NNS A52264 1038 18 with with IN A52264 1038 19 the the DT A52264 1038 20 third third JJ A52264 1038 21 side side NN A52264 1038 22 demanded demand VBD A52264 1038 23 . . . A52264 1039 1 For for IN A52264 1039 2 the the DT A52264 1039 3 solution solution NN A52264 1039 4 whereof whereof NN A52264 1039 5 we -PRON- PRP A52264 1039 6 will will MD A52264 1039 7 lay lay VB A52264 1039 8 down down RP A52264 1039 9 this this DT A52264 1039 10 Axiome Axiome NNP A52264 1039 11 following follow VBG A52264 1039 12 . . . A52264 1040 1 The the DT A52264 1040 2 third third JJ A52264 1040 3 AXIOME axiome NN A52264 1040 4 . . . A52264 1041 1 As as IN A52264 1041 2 the the DT A52264 1041 3 summe summe NN A52264 1041 4 of of IN A52264 1041 5 the the DT A52264 1041 6 two two CD A52264 1041 7 sides side NNS A52264 1041 8 , , , A52264 1041 9 is be VBZ A52264 1041 10 to to IN A52264 1041 11 their -PRON- PRP$ A52264 1041 12 difference difference NN A52264 1041 13 : : : A52264 1041 14 so so RB A52264 1041 15 is be VBZ A52264 1041 16 the the DT A52264 1041 17 tangent tangent NN A52264 1041 18 of of IN A52264 1041 19 half half PDT A52264 1041 20 the the DT A52264 1041 21 summe summe NN A52264 1041 22 of of IN A52264 1041 23 the the DT A52264 1041 24 opposite opposite JJ A52264 1041 25 angles angle NNS A52264 1041 26 , , , A52264 1041 27 to to IN A52264 1041 28 the the DT A52264 1041 29 tangent tangent NN A52264 1041 30 of of IN A52264 1041 31 half half PDT A52264 1041 32 the the DT A52264 1041 33 difference difference NN A52264 1041 34 . . . A52264 1042 1 Let let VB A52264 1042 2 ABC ABC NNP A52264 1042 3 be be VB A52264 1042 4 the the DT A52264 1042 5 oblique oblique NN A52264 1042 6 angled angle VBN A52264 1042 7 triangle triangle NNP A52264 1042 8 , , , A52264 1042 9 in in IN A52264 1042 10 which which WDT A52264 1042 11 let let VBD A52264 1042 12 the the DT A52264 1042 13 side side NN A52264 1042 14 AB AB NNP A52264 1042 15 be be VB A52264 1042 16 continued continue VBN A52264 1042 17 to to IN A52264 1042 18 H h NN A52264 1042 19 , , , A52264 1042 20 and and CC A52264 1042 21 let let VB A52264 1042 22 the the DT A52264 1042 23 line line NN A52264 1042 24 of of IN A52264 1042 25 continuation continuation NN A52264 1042 26 BH BH NNP A52264 1042 27 be be VB A52264 1042 28 made make VBN A52264 1042 29 equall equall JJ A52264 1042 30 to to IN A52264 1042 31 BC BC NNP A52264 1042 32 , , , A52264 1042 33 and and CC A52264 1042 34 BK BK NNP A52264 1042 35 equal equal JJ A52264 1042 36 to to IN A52264 1042 37 AB AB NNP A52264 1042 38 ; ; : A52264 1042 39 then then RB A52264 1042 40 is be VBZ A52264 1042 41 AH AH NNP A52264 1042 42 the the DT A52264 1042 43 summe summe NN A52264 1042 44 of of IN A52264 1042 45 the the DT A52264 1042 46 sides side NNS A52264 1042 47 , , , A52264 1042 48 AB AB NNP A52264 1042 49 , , , A52264 1042 50 BC BC NNP A52264 1042 51 , , , A52264 1042 52 and and CC A52264 1042 53 KH KH NNP A52264 1042 54 is be VBZ A52264 1042 55 their -PRON- PRP$ A52264 1042 56 difference difference NN A52264 1042 57 , , , A52264 1042 58 now now RB A52264 1042 59 if if IN A52264 1042 60 you -PRON- PRP A52264 1042 61 draw draw VBP A52264 1042 62 the the DT A52264 1042 63 lines line NNS A52264 1042 64 BD BD NNP A52264 1042 65 and and CC A52264 1042 66 KG KG NNP A52264 1042 67 parallel parallel NN A52264 1042 68 unto unto IN A52264 1042 69 AC AC NNP A52264 1042 70 , , , A52264 1042 71 then then RB A52264 1042 72 shall shall MD A52264 1042 73 the the DT A52264 1042 74 angle angle NN A52264 1042 75 CBH CBH NNP A52264 1042 76 be be VB A52264 1042 77 equal equal JJ A52264 1042 78 to to IN A52264 1042 79 the the DT A52264 1042 80 two two CD A52264 1042 81 angles angle NNS A52264 1042 82 of of IN A52264 1042 83 the the DT A52264 1042 84 triangle triangle NN A52264 1042 85 given give VBN A52264 1042 86 ACB ACB NNP A52264 1042 87 and and CC A52264 1042 88 CAB CAB NNP A52264 1042 89 , , , A52264 1042 90 because because IN A52264 1042 91 the the DT A52264 1042 92 angle angle NN A52264 1042 93 CBA CBA NNP A52264 1042 94 common common JJ A52264 1042 95 to to IN A52264 1042 96 both both DT A52264 1042 97 is be VBZ A52264 1042 98 their -PRON- PRP$ A52264 1042 99 complement complement NN A52264 1042 100 to to IN A52264 1042 101 a a DT A52264 1042 102 Semicircle Semicircle NNP A52264 1042 103 , , , A52264 1042 104 and and CC A52264 1042 105 DB DB NNP A52264 1042 106 being be VBG A52264 1042 107 parallel parallel JJ A52264 1042 108 to to IN A52264 1042 109 CA CA NNP A52264 1042 110 , , , A52264 1042 111 the the DT A52264 1042 112 angle angle NN A52264 1042 113 DBH DBH NNP A52264 1042 114 shall shall MD A52264 1042 115 be be VB A52264 1042 116 equall equall JJ A52264 1042 117 to to IN A52264 1042 118 the the DT A52264 1042 119 angle angle NN A52264 1042 120 CAB CAB NNP A52264 1042 121 , , , A52264 1042 122 and and CC A52264 1042 123 the the DT A52264 1042 124 angle angle NN A52264 1042 125 DBC DBC NNP A52264 1042 126 equall equall NN A52264 1042 127 to to IN A52264 1042 128 the the DT A52264 1042 129 angle angle NN A52264 1042 130 ACB ACB NNP A52264 1042 131 , , , A52264 1042 132 if if IN A52264 1042 133 therefore therefore RB A52264 1042 134 you -PRON- PRP A52264 1042 135 let let VBD A52264 1042 136 fall fall VB A52264 1042 137 the the DT A52264 1042 138 perpendicular perpendicular JJ A52264 1042 139 BE be NN A52264 1042 140 , , , A52264 1042 141 and and CC A52264 1042 142 draw draw VB A52264 1042 143 the the DT A52264 1042 144 periphery periphery NN A52264 1042 145 MEL MEL NNP A52264 1042 146 , , , A52264 1042 147 the the DT A52264 1042 148 right right JJ A52264 1042 149 line line NN A52264 1042 150 CE CE NNP A52264 1042 151 shall shall MD A52264 1042 152 be be VB A52264 1042 153 the the DT A52264 1042 154 tangent tangent NN A52264 1042 155 of of IN A52264 1042 156 half half PDT A52264 1042 157 the the DT A52264 1042 158 summe summe NN A52264 1042 159 of of IN A52264 1042 160 the the DT A52264 1042 161 angles angle NNS A52264 1042 162 ACB ACB NNP A52264 1042 163 and and CC A52264 1042 164 CAB CAB NNP A52264 1042 165 , , , A52264 1042 166 it -PRON- PRP A52264 1042 167 being be VBG A52264 1042 168 the the DT A52264 1042 169 tangent tangent NN A52264 1042 170 of of IN A52264 1042 171 half half PDT A52264 1042 172 the the DT A52264 1042 173 angle angle NN A52264 1042 174 CBH CBH NNP A52264 1042 175 . . . A52264 1043 1 Again again RB A52264 1043 2 , , , A52264 1043 3 if if IN A52264 1043 4 you -PRON- PRP A52264 1043 5 make make VBP A52264 1043 6 E E NNS A52264 1043 7 ● ● NN A52264 1043 8 equal equal JJ A52264 1043 9 to to IN A52264 1043 10 DE DE NNP A52264 1043 11 , , , A52264 1043 12 and and CC A52264 1043 13 draw draw VB A52264 1043 14 the the DT A52264 1043 15 right right JJ A52264 1043 16 line line NN A52264 1043 17 FB FB NNP A52264 1043 18 , , , A52264 1043 19 then then RB A52264 1043 20 shall shall MD A52264 1043 21 the the DT A52264 1043 22 angle angle NN A52264 1043 23 DBF DBF NNP A52264 1043 24 be be VB A52264 1043 25 the the DT A52264 1043 26 difference difference NN A52264 1043 27 between between IN A52264 1043 28 the the DT A52264 1043 29 angles angle NNS A52264 1043 30 CBD CBD NNP A52264 1043 31 and and CC A52264 1043 32 DBH DBH NNP A52264 1043 33 , , , A52264 1043 34 or or CC A52264 1043 35 between between IN A52264 1043 36 the the DT A52264 1043 37 angles angle NNS A52264 1043 38 ACB ACB NNP A52264 1043 39 and and CC A52264 1043 40 CAB CAB NNP A52264 1043 41 , , , A52264 1043 42 and and CC A52264 1043 43 DE DE NNP A52264 1043 44 the the DT A52264 1043 45 tangent tangent NN A52264 1043 46 of of IN A52264 1043 47 half half PDT A52264 1043 48 the the DT A52264 1043 49 difference difference NN A52264 1043 50 . . . A52264 1044 1 And and CC A52264 1044 2 because because IN A52264 1044 3 the the DT A52264 1044 4 right right NN A52264 1044 5 sines sin VBZ A52264 1044 6 AC AC NNP A52264 1044 7 , , , A52264 1044 8 DB DB NNP A52264 1044 9 , , , A52264 1044 10 and and CC A52264 1044 11 KG KG NNP A52264 1044 12 are be VBP A52264 1044 13 parallel parallel JJ A52264 1044 14 , , , A52264 1044 15 and and CC A52264 1044 16 CD CD NNP A52264 1044 17 , , , A52264 1044 18 DG DG NNP A52264 1044 19 , , , A52264 1044 20 and and CC A52264 1044 21 FH FH NNP A52264 1044 22 are be VBP A52264 1044 23 equall equall JJ A52264 1044 24 , , , A52264 1044 25 and and CC A52264 1044 26 DF DF NNP A52264 1044 27 equal equal JJ A52264 1044 28 to to IN A52264 1044 29 GH GH NNP A52264 1044 30 , , , A52264 1044 31 and and CC A52264 1044 32 the the DT A52264 1044 33 triangles triangle NNS A52264 1044 34 ACH ACH NNP A52264 1044 35 and and CC A52264 1044 36 KGH KGH NNP A52264 1044 37 are be VBP A52264 1044 38 like like IN A52264 1044 39 , , , A52264 1044 40 and and CC A52264 1044 41 therefore therefore RB A52264 1044 42 ; ; : A52264 1044 43 As as IN A52264 1044 44 AH AH NNP A52264 1044 45 is be VBZ A52264 1044 46 in in IN A52264 1044 47 proportion proportion NN A52264 1044 48 to to IN A52264 1044 49 HK HK NNP A52264 1044 50 : : : A52264 1044 51 so so RB A52264 1044 52 is be VBZ A52264 1044 53 CH CH NNP A52264 1044 54 , , , A52264 1044 55 to to IN A52264 1044 56 HG HG NNP A52264 1044 57 : : : A52264 1044 58 or or CC A52264 1044 59 as as IN A52264 1044 60 AH AH NNP A52264 1044 61 , , , A52264 1044 62 the the DT A52264 1044 63 summe summe NN A52264 1044 64 of of IN A52264 1044 65 the the DT A52264 1044 66 sides side NNS A52264 1044 67 , , , A52264 1044 68 is be VBZ A52264 1044 69 in in IN A52264 1044 70 proportion proportion NN A52264 1044 71 to to IN A52264 1044 72 HK HK NNP A52264 1044 73 , , , A52264 1044 74 their -PRON- PRP$ A52264 1044 75 difference difference NN A52264 1044 76 : : : A52264 1044 77 so so RB A52264 1044 78 is be VBZ A52264 1044 79 CE CE NNP A52264 1044 80 the the DT A52264 1044 81 tangent tangent NN A52264 1044 82 of of IN A52264 1044 83 the the DT A52264 1044 84 half half JJ A52264 1044 85 summe summe NN A52264 1044 86 of of IN A52264 1044 87 the the DT A52264 1044 88 angles angle NNS A52264 1044 89 ACB ACB NNP A52264 1044 90 and and CC A52264 1044 91 CAB CAB NNP A52264 1044 92 , , , A52264 1044 93 to to IN A52264 1044 94 DE DE NNP A52264 1044 95 , , , A52264 1044 96 the the DT A52264 1044 97 tangent tangent NN A52264 1044 98 of of IN A52264 1044 99 half half PDT A52264 1044 100 their -PRON- PRP$ A52264 1044 101 difference difference NN A52264 1044 102 . . . A52264 1045 1 Consectary Consectary NNP A52264 1045 2 . . . A52264 1046 1 Hence hence RB A52264 1046 2 it -PRON- PRP A52264 1046 3 followes follow VBZ A52264 1046 4 , , , A52264 1046 5 that that IN A52264 1046 6 in in IN A52264 1046 7 a a DT A52264 1046 8 plain plain JJ A52264 1046 9 oblique oblique NN A52264 1046 10 angled angle VBN A52264 1046 11 Triangle Triangle NNP A52264 1046 12 ; ; : A52264 1046 13 if if IN A52264 1046 14 two two CD A52264 1046 15 sides side NNS A52264 1046 16 and and CC A52264 1046 17 the the DT A52264 1046 18 angle angle NN A52264 1046 19 comprehended comprehend VBN A52264 1046 20 by by IN A52264 1046 21 them -PRON- PRP A52264 1046 22 be be VB A52264 1046 23 given give VBN A52264 1046 24 , , , A52264 1046 25 the the DT A52264 1046 26 other other JJ A52264 1046 27 two two CD A52264 1046 28 angles angle NNS A52264 1046 29 and and CC A52264 1046 30 the the DT A52264 1046 31 third third JJ A52264 1046 32 side side NN A52264 1046 33 are be VBP A52264 1046 34 also also RB A52264 1046 35 given give VBN A52264 1046 36 . . . A52264 1047 1 As as IN A52264 1047 2 in in IN A52264 1047 3 the the DT A52264 1047 4 triangle triangle NN A52264 1047 5 ABC ABC NNP A52264 1047 6 , , , A52264 1047 7 having have VBG A52264 1047 8 the the DT A52264 1047 9 sides side NNS A52264 1047 10 AC AC NNP A52264 1047 11 189 189 CD A52264 1047 12 , , , A52264 1047 13 and and CC A52264 1047 14 AB AB NNP A52264 1047 15 156 156 CD A52264 1047 16 , , , A52264 1047 17 whose whose WP$ A52264 1047 18 summe summe NN A52264 1047 19 is be VBZ A52264 1047 20 345 345 CD A52264 1047 21 , , , A52264 1047 22 and and CC A52264 1047 23 difference difference NN A52264 1047 24 33 33 CD A52264 1047 25 , , , A52264 1047 26 with with IN A52264 1047 27 the the DT A52264 1047 28 angle angle NN A52264 1047 29 BAC BAC NNP A52264 1047 30 22 22 CD A52264 1047 31 degrees degree NNS A52264 1047 32 , , , A52264 1047 33 60 60 CD A52264 1047 34 minutes minute NNS A52264 1047 35 , , , A52264 1047 36 to to TO A52264 1047 37 finde finde VB A52264 1047 38 the the DT A52264 1047 39 angle angle NN A52264 1047 40 ABC ABC NNP A52264 1047 41 or or CC A52264 1047 42 ACB ACB NNP A52264 1047 43 . . . A52264 1048 1 The the DT A52264 1048 2 proportion proportion NN A52264 1048 3 is be VBZ A52264 1048 4 As as IN A52264 1048 5 the the DT A52264 1048 6 sum sum NN A52264 1048 7 of of IN A52264 1048 8 the the DT A52264 1048 9 sides side NNS A52264 1048 10 given give VBN A52264 1048 11 345 345 CD A52264 1048 12 , , , A52264 1048 13 2.5378190 2.5378190 CD A52264 1048 14         _SP A52264 1048 15 Is be VBZ A52264 1048 16 to to IN A52264 1048 17 their -PRON- PRP$ A52264 1048 18 difference difference NN A52264 1048 19 33 33 CD A52264 1048 20 , , , A52264 1048 21 1.5185139 1.5185139 CD A52264 1048 22 So so IN A52264 1048 23 the the DT A52264 1048 24 tangent tangent NN A52264 1048 25 of of IN A52264 1048 26 half half PDT A52264 1048 27 the the DT A52264 1048 28 angles angle NNS A52264 1048 29 at at IN A52264 1048 30 B B NNP A52264 1048 31 & & CC A52264 1048 32 C C NNP A52264 1048 33 78de 78de NN A52264 1048 34 . . . A52264 1049 1 70 70 CD A52264 1049 2 m m NN A52264 1049 3 . . . A52264 1050 1 10.6993616 10.6993616 CD A52264 1050 2         _SP A52264 1050 3 To to IN A52264 1050 4 the the DT A52264 1050 5 tangent tangent NN A52264 1050 6 of of IN A52264 1050 7 half half PDT A52264 1050 8 their -PRON- PRP$ A52264 1050 9 difference difference NN A52264 1050 10 25 25 CD A52264 1050 11 degr degr NN A52264 1050 12 . . . A52264 1051 1 58 58 CD A52264 1051 2 minutes minute NNS A52264 1051 3 9.6800565 9.6800565 CD A52264 1051 4 Which which WDT A52264 1051 5 being be VBG A52264 1051 6 added add VBN A52264 1051 7 to to IN A52264 1051 8 the the DT A52264 1051 9 half half JJ A52264 1051 10 sum sum NN A52264 1051 11 78 78 CD A52264 1051 12 degrees degree NNS A52264 1051 13 , , , A52264 1051 14 70 70 CD A52264 1051 15 minutes minute NNS A52264 1051 16 , , , A52264 1051 17 the the DT A52264 1051 18 obtuse obtuse JJ A52264 1051 19 angle angle NN A52264 1051 20 at at IN A52264 1051 21 B b NN A52264 1051 22 , , , A52264 1051 23 is be VBZ A52264 1051 24 104 104 CD A52264 1051 25 degrees degree NNS A52264 1051 26 , , , A52264 1051 27 28 28 CD A52264 1051 28 minutes minute NNS A52264 1051 29 ; ; : A52264 1051 30 and and CC A52264 1051 31 substracted substracte VBN A52264 1051 32 from from IN A52264 1051 33 the the DT A52264 1051 34 half half NN A52264 1051 35 summe summe NN A52264 1051 36 , , , A52264 1051 37 it -PRON- PRP A52264 1051 38 leaveth leaveth VBD A52264 1051 39 53 53 CD A52264 1051 40 degrees degree NNS A52264 1051 41 , , , A52264 1051 42 12 12 CD A52264 1051 43 minutes minute NNS A52264 1051 44 for for IN A52264 1051 45 the the DT A52264 1051 46 quantity quantity NN A52264 1051 47 of of IN A52264 1051 48 the the DT A52264 1051 49 acute acute JJ A52264 1051 50 angle angle NN A52264 1051 51 ACB ACB NNP A52264 1051 52 . . . A52264 1052 1 Then then RB A52264 1052 2 to to TO A52264 1052 3 finde finde VB A52264 1052 4 the the DT A52264 1052 5 third third JJ A52264 1052 6 side side NN A52264 1052 7 BC BC NNP A52264 1052 8 , , , A52264 1052 9 the the DT A52264 1052 10 proportion proportion NN A52264 1052 11 , , , A52264 1052 12 by by IN A52264 1052 13 the the DT A52264 1052 14 first first JJ A52264 1052 15 Axiome Axiome NNP A52264 1052 16 , , , A52264 1052 17 is be VBZ A52264 1052 18 , , , A52264 1052 19 As as IN A52264 1052 20 the the DT A52264 1052 21 sine sine NN A52264 1052 22 of of IN A52264 1052 23 the the DT A52264 1052 24 angle angle NN A52264 1052 25 at at IN A52264 1052 26 ● ● CD A52264 1052 27 , , , A52264 1052 28 is be VBZ A52264 1052 29 in in IN A52264 1052 30 proportion proportion NN A52264 1052 31 to to IN A52264 1052 32 his -PRON- PRP$ A52264 1052 33 opposite opposite JJ A52264 1052 34 side side NN A52264 1052 35 AB AB NNP A52264 1052 36 ; ; : A52264 1052 37 so so RB A52264 1052 38 is be VBZ A52264 1052 39 the the DT A52264 1052 40 sine sine NN A52264 1052 41 of of IN A52264 1052 42 the the DT A52264 1052 43 angle angle NN A52264 1052 44 at at IN A52264 1052 45 A a NN A52264 1052 46 , , , A52264 1052 47 to to IN A52264 1052 48 his -PRON- PRP$ A52264 1052 49 opposite opposite JJ A52264 1052 50 side side NN A52264 1052 51 BC BC NNP A52264 1052 52 . . . A52264 1053 1 4 4 LS A52264 1053 2 . . . A52264 1054 1 And and CC A52264 1054 2 lastly lastly RB A52264 1054 3 , , , A52264 1054 4 all all PDT A52264 1054 5 the the DT A52264 1054 6 three three CD A52264 1054 7 sides side NNS A52264 1054 8 may may MD A52264 1054 9 be be VB A52264 1054 10 given give VBN A52264 1054 11 , , , A52264 1054 12 and and CC A52264 1054 13 the the DT A52264 1054 14 angles angle NNS A52264 1054 15 may may MD A52264 1054 16 be be VB A52264 1054 17 demanded demand VBN A52264 1054 18 ; ; : A52264 1054 19 for for IN A52264 1054 20 the the DT A52264 1054 21 solution solution NN A52264 1054 22 whereof whereof NN A52264 1054 23 we -PRON- PRP A52264 1054 24 will will MD A52264 1054 25 lay lay VB A52264 1054 26 down down RP A52264 1054 27 this this DT A52264 1054 28 Axiome Axiome NNP A52264 1054 29 . . . A52264 1055 1 The the DT A52264 1055 2 fourth fourth JJ A52264 1055 3 AXIOME axiome NN A52264 1055 4 . . . A52264 1056 1 As as IN A52264 1056 2 the the DT A52264 1056 3 base base NN A52264 1056 4 , , , A52264 1056 5 is be VBZ A52264 1056 6 to to IN A52264 1056 7 the the DT A52264 1056 8 summe summe NN A52264 1056 9 of of IN A52264 1056 10 the the DT A52264 1056 11 sides side NNS A52264 1056 12 : : : A52264 1056 13 So so RB A52264 1056 14 is be VBZ A52264 1056 15 the the DT A52264 1056 16 difference difference NN A52264 1056 17 of of IN A52264 1056 18 the the DT A52264 1056 19 sides side NNS A52264 1056 20 , , , A52264 1056 21 to to IN A52264 1056 22 the the DT A52264 1056 23 difference difference NN A52264 1056 24 of of IN A52264 1056 25 the the DT A52264 1056 26 segments segment NNS A52264 1056 27 of of IN A52264 1056 28 the the DT A52264 1056 29 base base NN A52264 1056 30 . . . A52264 1057 1 Let let VB A52264 1057 2 BCD BCD NNP A52264 1057 3 be be VB A52264 1057 4 the the DT A52264 1057 5 triangle triangle NN A52264 1057 6 , , , A52264 1057 7 CD cd VB A52264 1057 8 the the DT A52264 1057 9 base base NN A52264 1057 10 , , , A52264 1057 11 BD BD NNP A52264 1057 12 the the DT A52264 1057 13 shortest short JJS A52264 1057 14 side side NN A52264 1057 15 ; ; : A52264 1057 16 upon upon IN A52264 1057 17 the the DT A52264 1057 18 point point NN A52264 1057 19 B b NN A52264 1057 20 describe describe VBP A52264 1057 21 the the DT A52264 1057 22 circle circle NN A52264 1057 23 ADFH ADFH NNP A52264 1057 24 , , , A52264 1057 25 making make VBG A52264 1057 26 BD BD NNP A52264 1057 27 the the DT A52264 1057 28 Radius Radius NNP A52264 1057 29 thereof thereof RB A52264 1057 30 , , , A52264 1057 31 let let VB A52264 1057 32 the the DT A52264 1057 33 side side NN A52264 1057 34 BC BC NNP A52264 1057 35 be be VB A52264 1057 36 produced produce VBN A52264 1057 37 to to IN A52264 1057 38 A a DT A52264 1057 39 , , , A52264 1057 40 then then RB A52264 1057 41 is be VBZ A52264 1057 42 CA CA NNP A52264 1057 43 the the DT A52264 1057 44 summe summe NN A52264 1057 45 of of IN A52264 1057 46 the the DT A52264 1057 47 sides side NNS A52264 1057 48 , , , A52264 1057 49 because because IN A52264 1057 50 BA BA NNP A52264 1057 51 and and CC A52264 1057 52 BD BD NNP A52264 1057 53 are be VBP A52264 1057 54 equal equal JJ A52264 1057 55 , , , A52264 1057 56 by by IN A52264 1057 57 the the DT A52264 1057 58 work work NN A52264 1057 59 , , , A52264 1057 60 CH CH NNP A52264 1057 61 is be VBZ A52264 1057 62 the the DT A52264 1057 63 difference difference NN A52264 1057 64 of of IN A52264 1057 65 the the DT A52264 1057 66 sides side NNS A52264 1057 67 , , , A52264 1057 68 CF cf NN A52264 1057 69 the the DT A52264 1057 70 difference difference NN A52264 1057 71 of of IN A52264 1057 72 the the DT A52264 1057 73 segments segment NNS A52264 1057 74 of of IN A52264 1057 75 the the DT A52264 1057 76 base base NN A52264 1057 77 . . . A52264 1058 1 Now now RB A52264 1058 2 if if IN A52264 1058 3 you -PRON- PRP A52264 1058 4 draw draw VBP A52264 1058 5 the the DT A52264 1058 6 right right JJ A52264 1058 7 lines line NNS A52264 1058 8 AF AF NNP A52264 1058 9 and and CC A52264 1058 10 HD HD NNP A52264 1058 11 , , , A52264 1058 12 the the DT A52264 1058 13 triangles triangle NNS A52264 1058 14 CHD CHD NNP A52264 1058 15 and and CC A52264 1058 16 CAF CAF NNP A52264 1058 17 shall shall MD A52264 1058 18 be be VB A52264 1058 19 equiangled equiangle VBN A52264 1058 20 , , , A52264 1058 21 because because IN A52264 1058 22 of of IN A52264 1058 23 their -PRON- PRP$ A52264 1058 24 common common JJ A52264 1058 25 angle angle NN A52264 1058 26 ACF ACF NNP A52264 1058 27 or or CC A52264 1058 28 HCD HCD NNP A52264 1058 29 , , , A52264 1058 30 and and CC A52264 1058 31 their -PRON- PRP$ A52264 1058 32 equal equal JJ A52264 1058 33 angles angle NNS A52264 1058 34 CAF CAF NNP A52264 1058 35 and and CC A52264 1058 36 HDC HDC NNP A52264 1058 37 , , , A52264 1058 38 which which WDT A52264 1058 39 are be VBP A52264 1058 40 equall equall JJ A52264 1058 41 , , , A52264 1058 42 because because IN A52264 1058 43 the the DT A52264 1058 44 arch arch JJ A52264 1058 45 HF HF NNP A52264 1058 46 is be VBZ A52264 1058 47 the the DT A52264 1058 48 double double JJ A52264 1058 49 measure measure NN A52264 1058 50 to to IN A52264 1058 51 them -PRON- PRP A52264 1058 52 both both DT A52264 1058 53 ; ; : A52264 1058 54 and and CC A52264 1058 55 therefore therefore RB A52264 1058 56 , , , A52264 1058 57 as as IN A52264 1058 58 CD CD NNP A52264 1058 59 , , , A52264 1058 60 to to IN A52264 1058 61 CA CA NNP A52264 1058 62 ; ; : A52264 1058 63 so so RB A52264 1058 64 is be VBZ A52264 1058 65 CH CH NNP A52264 1058 66 , , , A52264 1058 67 to to IN A52264 1058 68 CF CF NNP A52264 1058 69 , , , A52264 1058 70 which which WDT A52264 1058 71 was be VBD A52264 1058 72 to to TO A52264 1058 73 be be VB A52264 1058 74 proved prove VBN A52264 1058 75 . . . A52264 1059 1 Consectary Consectary NNP A52264 1059 2 . . . A52264 1060 1 Therefore therefore RB A52264 1060 2 the the DT A52264 1060 3 three three CD A52264 1060 4 sides side NNS A52264 1060 5 of of IN A52264 1060 6 a a DT A52264 1060 7 plain plain JJ A52264 1060 8 oblique oblique NN A52264 1060 9 angled angled JJ A52264 1060 10 triangle triangle NN A52264 1060 11 being be VBG A52264 1060 12 given give VBN A52264 1060 13 , , , A52264 1060 14 the the DT A52264 1060 15 reason reason NN A52264 1060 16 of of IN A52264 1060 17 the the DT A52264 1060 18 angles angle NNS A52264 1060 19 is be VBZ A52264 1060 20 also also RB A52264 1060 21 given give VBN A52264 1060 22 . . . A52264 1061 1 For for IN A52264 1061 2 first first RB A52264 1061 3 , , , A52264 1061 4 the the DT A52264 1061 5 obliquangled obliquangled JJ A52264 1061 6 triangle triangle NN A52264 1061 7 may may MD A52264 1061 8 be be VB A52264 1061 9 resolved resolve VBN A52264 1061 10 into into IN A52264 1061 11 two two CD A52264 1061 12 right right JJ A52264 1061 13 angled angle VBN A52264 1061 14 triangles triangle NNS A52264 1061 15 , , , A52264 1061 16 by by IN A52264 1061 17 this this DT A52264 1061 18 Axiome Axiome NNP A52264 1061 19 , , , A52264 1061 20 and and CC A52264 1061 21 then then RB A52264 1061 22 the the DT A52264 1061 23 right right NN A52264 1061 24 angled angle VBN A52264 1061 25 triangles triangle NNS A52264 1061 26 may may MD A52264 1061 27 be be VB A52264 1061 28 resolved resolve VBN A52264 1061 29 by by IN A52264 1061 30 the the DT A52264 1061 31 first first JJ A52264 1061 32 Axiome Axiome NNP A52264 1061 33 . . . A52264 1062 1 As as IN A52264 1062 2 in in IN A52264 1062 3 the the DT A52264 1062 4 plain plain JJ A52264 1062 5 oblique oblique NN A52264 1062 6 angled angle VBN A52264 1062 7 triangle triangle NNP A52264 1062 8 , , , A52264 1062 9 BCD BCD NNP A52264 1062 10 , , , A52264 1062 11 let let VB A52264 1062 12 the the DT A52264 1062 13 three three CD A52264 1062 14 sides side NNS A52264 1062 15 be be VB A52264 1062 16 given give VBN A52264 1062 17 , , , A52264 1062 18 BD BD NNP A52264 1062 19 189 189 CD A52264 1062 20 paces pace NNS A52264 1062 21 , , , A52264 1062 22 BC BC NNP A52264 1062 23 156 156 CD A52264 1062 24 paces pace NNS A52264 1062 25 , , , A52264 1062 26 and and CC A52264 1062 27 DC DC NNP A52264 1062 28 75 75 CD A52264 1062 29 paces pace NNS A52264 1062 30 , , , A52264 1062 31 and and CC A52264 1062 32 let let VB A52264 1062 33 the the DT A52264 1062 34 angle angle NN A52264 1062 35 CBA CBA NNP A52264 1062 36 be be VB A52264 1062 37 required require VBN A52264 1062 38 . . . A52264 1063 1 First first RB A52264 1063 2 , , , A52264 1063 3 by by IN A52264 1063 4 this this DT A52264 1063 5 Axiome Axiome NNP A52264 1063 6 , , , A52264 1063 7 I -PRON- PRP A52264 1063 8 resolve resolve VBP A52264 1063 9 it -PRON- PRP A52264 1063 10 into into IN A52264 1063 11 two two CD A52264 1063 12 right right JJ A52264 1063 13 angled angle VBN A52264 1063 14 triangles triangle NNS A52264 1063 15 ; ; : A52264 1063 16 thus thus RB A52264 1063 17 : : : A52264 1063 18 As as IN A52264 1063 19 the the DT A52264 1063 20 true true JJ A52264 1063 21 base base NN A52264 1063 22 BD BD NNP A52264 1063 23 189 189 CD A52264 1063 24 co co NN A52264 1063 25 . . . A52264 1064 1 ar ar NNP A52264 1064 2 . . . A52264 1065 1 7.7235382 7.7235382 CD A52264 1065 2 Is be VBZ A52264 1065 3 to to IN A52264 1065 4 the the DT A52264 1065 5 sum sum NN A52264 1065 6 of of IN A52264 1065 7 BC BC NNP A52264 1065 8 & & CC A52264 1065 9 DC DC NNP A52264 1065 10 231 231 CD A52264 1065 11 2.3636120 2.3636120 CD A52264 1065 12 So so RB A52264 1065 13 the the DT A52264 1065 14 difference difference NN A52264 1065 15 of of IN A52264 1065 16 BC BC NNP A52264 1065 17 & & CC A52264 1065 18 DC DC NNP A52264 1065 19 81 81 CD A52264 1065 20 1.9084850 1.9084850 CD A52264 1065 21 To to IN A52264 1065 22 the the DT A52264 1065 23 alternate alternate JJ A52264 1065 24 base base NN A52264 1065 25 BG BG NNP A52264 1065 26 99 99 CD A52264 1065 27 1.9956352 1.9956352 CD A52264 1065 28 As as IN A52264 1065 29 the the DT A52264 1065 30 the the DT A52264 1065 31 hypothenusal hypothenusal NN A52264 1065 32 BC BC NNP A52264 1065 33 , , , A52264 1065 34 is be VBZ A52264 1065 35 to to IN A52264 1065 36 Radius Radius NNP A52264 1065 37 : : : A52264 1065 38 So so RB A52264 1065 39 is be VBZ A52264 1065 40 the the DT A52264 1065 41 base base NN A52264 1065 42 AB AB NNP A52264 1065 43 144 144 CD A52264 1065 44 , , , A52264 1065 45 to to IN A52264 1065 46 the the DT A52264 1065 47 sine sine NN A52264 1065 48 of of IN A52264 1065 49 the the DT A52264 1065 50 angle angle NN A52264 1065 51 at at IN A52264 1065 52 the the DT A52264 1065 53 perpendicular perpendicular NN A52264 1065 54 , , , A52264 1065 55 whose whose WP$ A52264 1065 56 complement complement NN A52264 1065 57 is be VBZ A52264 1065 58 the the DT A52264 1065 59 angle angle NN A52264 1065 60 at at IN A52264 1065 61 the the DT A52264 1065 62 base base NN A52264 1065 63 inquired inquire VBD A52264 1065 64 . . . A52264 1066 1 In in IN A52264 1066 2 like like JJ A52264 1066 3 manner manner NN A52264 1066 4 may may MD A52264 1066 5 be be VB A52264 1066 6 found find VBN A52264 1066 7 the the DT A52264 1066 8 angle angle NN A52264 1066 9 at at IN A52264 1066 10 D d NN A52264 1066 11 , , , A52264 1066 12 and and CC A52264 1066 13 then then RB A52264 1066 14 the the DT A52264 1066 15 angle angle NN A52264 1066 16 BCD BCD NNP A52264 1066 17 is be VBZ A52264 1066 18 found find VBN A52264 1066 19 by by IN A52264 1066 20 consequence consequence NN A52264 1066 21 , , , A52264 1066 22 being be VBG A52264 1066 23 the the DT A52264 1066 24 complement complement NN A52264 1066 25 of of IN A52264 1066 26 the the DT A52264 1066 27 other other JJ A52264 1066 28 two two CD A52264 1066 29 to to TO A52264 1066 30 two two CD A52264 1066 31 right right JJ A52264 1066 32 angles angle NNS A52264 1066 33 or or CC A52264 1066 34 180 180 CD A52264 1066 35 degrees degree NNS A52264 1066 36 . . . A52264 1067 1 CHAP CHAP NNP A52264 1067 2 . . . A52264 1068 1 VII VII NNP A52264 1068 2 . . . A52264 1069 1 Of of IN A52264 1069 2 Sphericall Sphericall NNP A52264 1069 3 Triangles Triangles NNPS A52264 1069 4 . . . A52264 1070 1 A a DT A52264 1070 2 Sphericall Sphericall NNP A52264 1070 3 Triangle Triangle NNP A52264 1070 4 is be VBZ A52264 1070 5 a a DT A52264 1070 6 figure figure NN A52264 1070 7 described describe VBN A52264 1070 8 upon upon IN A52264 1070 9 a a DT A52264 1070 10 Sphericall Sphericall NNP A52264 1070 11 or or CC A52264 1070 12 round round JJ A52264 1070 13 superficies superficie NNS A52264 1070 14 , , , A52264 1070 15 consisting consist VBG A52264 1070 16 of of IN A52264 1070 17 three three CD A52264 1070 18 arches arch NNS A52264 1070 19 of of IN A52264 1070 20 the the DT A52264 1070 21 greatest great JJS A52264 1070 22 circles circle NNS A52264 1070 23 that that WDT A52264 1070 24 can can MD A52264 1070 25 be be VB A52264 1070 26 described describe VBN A52264 1070 27 upon upon IN A52264 1070 28 it -PRON- PRP A52264 1070 29 , , , A52264 1070 30 every every DT A52264 1070 31 one one NN A52264 1070 32 being be VBG A52264 1070 33 lesse lesse NN A52264 1070 34 then then RB A52264 1070 35 a a DT A52264 1070 36 Semicircle Semicircle NNP A52264 1070 37 . . . A52264 1071 1 2 2 LS A52264 1071 2 . . . A52264 1072 1 The the DT A52264 1072 2 greatest great JJS A52264 1072 3 circles circle NNS A52264 1072 4 of of IN A52264 1072 5 a a DT A52264 1072 6 round round JJ A52264 1072 7 or or CC A52264 1072 8 Spherical spherical JJ A52264 1072 9 superficies superficie NNS A52264 1072 10 are be VBP A52264 1072 11 those those DT A52264 1072 12 which which WDT A52264 1072 13 divide divide VBP A52264 1072 14 the the DT A52264 1072 15 whole whole JJ A52264 1072 16 Sphere Sphere NNP A52264 1072 17 equally equally RB A52264 1072 18 into into IN A52264 1072 19 two two CD A52264 1072 20 Hemispheres hemisphere NNS A52264 1072 21 , , , A52264 1072 22 and and CC A52264 1072 23 are be VBP A52264 1072 24 every every DT A52264 1072 25 where where WRB A52264 1072 26 distant distant JJ A52264 1072 27 from from IN A52264 1072 28 their -PRON- PRP$ A52264 1072 29 own own JJ A52264 1072 30 centers center NNS A52264 1072 31 by by IN A52264 1072 32 a a DT A52264 1072 33 Quadrant Quadrant NNP A52264 1072 34 , , , A52264 1072 35 or or CC A52264 1072 36 fourth fourth JJ A52264 1072 37 part part NN A52264 1072 38 of of IN A52264 1072 39 a a DT A52264 1072 40 great great JJ A52264 1072 41 circle circle NN A52264 1072 42 . . . A52264 1073 1 3 3 LS A52264 1073 2 . . . A52264 1074 1 A a DT A52264 1074 2 great great JJ A52264 1074 3 circle circle NN A52264 1074 4 of of IN A52264 1074 5 the the DT A52264 1074 6 Sphere Sphere NNP A52264 1074 7 passing pass VBG A52264 1074 8 through through IN A52264 1074 9 the the DT A52264 1074 10 poles pole NNS A52264 1074 11 or or CC A52264 1074 12 centers center NNS A52264 1074 13 of of IN A52264 1074 14 another another DT A52264 1074 15 great great JJ A52264 1074 16 circle circle NN A52264 1074 17 , , , A52264 1074 18 cut cut VBD A52264 1074 19 one one CD A52264 1074 20 another another DT A52264 1074 21 at at IN A52264 1074 22 right right JJ A52264 1074 23 angles angle NNS A52264 1074 24 . . . A52264 1075 1 4 4 LS A52264 1075 2 . . . A52264 1076 1 A a DT A52264 1076 2 spherical spherical JJ A52264 1076 3 angle angle NN A52264 1076 4 is be VBZ A52264 1076 5 measured measure VBN A52264 1076 6 by by IN A52264 1076 7 the the DT A52264 1076 8 arch arch NN A52264 1076 9 of of IN A52264 1076 10 a a DT A52264 1076 11 great great JJ A52264 1076 12 circle circle NN A52264 1076 13 described describe VBN A52264 1076 14 from from IN A52264 1076 15 the the DT A52264 1076 16 angular angular JJ A52264 1076 17 point point NN A52264 1076 18 betwixt betwixt VBP A52264 1076 19 the the DT A52264 1076 20 sides side NNS A52264 1076 21 of of IN A52264 1076 22 the the DT A52264 1076 23 triangle triangle NN A52264 1076 24 , , , A52264 1076 25 those those DT A52264 1076 26 sides side NNS A52264 1076 27 being be VBG A52264 1076 28 continued continue VBN A52264 1076 29 to to IN A52264 1076 30 quadrants quadrant NNS A52264 1076 31 . . . A52264 1077 1 5 5 CD A52264 1077 2 . . . A52264 1078 1 The the DT A52264 1078 2 sides side NNS A52264 1078 3 of of IN A52264 1078 4 a a DT A52264 1078 5 Spherical spherical JJ A52264 1078 6 triangle triangle NN A52264 1078 7 may may MD A52264 1078 8 be be VB A52264 1078 9 turned turn VBN A52264 1078 10 into into IN A52264 1078 11 angles angle NNS A52264 1078 12 , , , A52264 1078 13 and and CC A52264 1078 14 the the DT A52264 1078 15 angles angle NNS A52264 1078 16 into into IN A52264 1078 17 sides side NNS A52264 1078 18 , , , A52264 1078 19 the the DT A52264 1078 20 complements complement NNS A52264 1078 21 of of IN A52264 1078 22 the the DT A52264 1078 23 greatest great JJS A52264 1078 24 side side NN A52264 1078 25 or or CC A52264 1078 26 greatest great JJS A52264 1078 27 angle angle NN A52264 1078 28 to to IN A52264 1078 29 a a DT A52264 1078 30 Semicircle Semicircle NNP A52264 1078 31 , , , A52264 1078 32 being be VBG A52264 1078 33 taken take VBN A52264 1078 34 in in IN A52264 1078 35 each each DT A52264 1078 36 conversion conversion NN A52264 1078 37 . . . A52264 1079 1 It -PRON- PRP A52264 1079 2 will will MD A52264 1079 3 be be VB A52264 1079 4 necessary necessary JJ A52264 1079 5 to to TO A52264 1079 6 demonstrate demonstrate VB A52264 1079 7 this this DT A52264 1079 8 , , , A52264 1079 9 which which WDT A52264 1079 10 is be VBZ A52264 1079 11 of of IN A52264 1079 12 so so RB A52264 1079 13 frequent frequent JJ A52264 1079 14 use use NN A52264 1079 15 in in IN A52264 1079 16 Trigonometry Trigonometry NNP A52264 1079 17 . . . A52264 1080 1 In in IN A52264 1080 2 the the DT A52264 1080 3 annexed annex VBN A52264 1080 4 Diagram Diagram NNP A52264 1080 5 let let VBD A52264 1080 6 ABC ABC NNP A52264 1080 7 be be VB A52264 1080 8 a a DT A52264 1080 9 sphericall sphericall NN A52264 1080 10 triangle triangle NN A52264 1080 11 , , , A52264 1080 12 obtuse obtuse NNP A52264 1080 13 angled angle VBN A52264 1080 14 at at IN A52264 1080 15 B b NN A52264 1080 16 , , , A52264 1080 17 let let VB A52264 1080 18 DE DE NNP A52264 1080 19 be be VB A52264 1080 20 the the DT A52264 1080 21 measure measure NN A52264 1080 22 of of IN A52264 1080 23 the the DT A52264 1080 24 angle angle NN A52264 1080 25 at at IN A52264 1080 26 A. a. NN A52264 1081 1 Let let VB A52264 1081 2 FG FG NNP A52264 1081 3 be be VB A52264 1081 4 the the DT A52264 1081 5 measure measure NN A52264 1081 6 of of IN A52264 1081 7 the the DT A52264 1081 8 acute acute JJ A52264 1081 9 angle angle NN A52264 1081 10 at at IN A52264 1081 11 B b NN A52264 1081 12 , , , A52264 1081 13 ( ( -LRB- A52264 1081 14 which which WDT A52264 1081 15 is be VBZ A52264 1081 16 the the DT A52264 1081 17 complement complement NN A52264 1081 18 of of IN A52264 1081 19 the the DT A52264 1081 20 obtuse obtuse JJ A52264 1081 21 angle angle NN A52264 1081 22 B B NNP A52264 1081 23 , , , A52264 1081 24 being be VBG A52264 1081 25 the the DT A52264 1081 26 greatest great JJS A52264 1081 27 angle angle NN A52264 1081 28 in in IN A52264 1081 29 the the DT A52264 1081 30 given give VBN A52264 1081 31 triangle triangle NN A52264 1081 32 ) ) -RRB- A52264 1081 33 and and CC A52264 1081 34 let let VB A52264 1081 35 HI HI NNP A52264 1081 36 be be VB A52264 1081 37 the the DT A52264 1081 38 measure measure NN A52264 1081 39 of of IN A52264 1081 40 the the DT A52264 1081 41 angle angle NN A52264 1081 42 at at IN A52264 1081 43 C C NNP A52264 1081 44 , , , A52264 1081 45 KL KL NNP A52264 1081 46 is be VBZ A52264 1081 47 equal equal JJ A52264 1081 48 to to IN A52264 1081 49 the the DT A52264 1081 50 arch arch JJ A52264 1081 51 DE de NN A52264 1081 52 , , , A52264 1081 53 because because IN A52264 1081 54 KD KD NNP A52264 1081 55 and and CC A52264 1081 56 LE LE NNP A52264 1081 57 are be VBP A52264 1081 58 Quadrants Quadrants NNP A52264 1081 59 , , , A52264 1081 60 and and CC A52264 1081 61 their -PRON- PRP$ A52264 1081 62 common common JJ A52264 1081 63 complement complement NN A52264 1081 64 is be VBZ A52264 1081 65 LD LD NNP A52264 1081 66 . . . A52264 1082 1 LM LM NNP A52264 1082 2 is be VBZ A52264 1082 3 equall equall JJ A52264 1082 4 to to IN A52264 1082 5 the the DT A52264 1082 6 arch arch JJ A52264 1082 7 FG FG NNP A52264 1082 8 , , , A52264 1082 9 because because IN A52264 1082 10 LG LG NNP A52264 1082 11 and and CC A52264 1082 12 FM FM NNP A52264 1082 13 are be VBP A52264 1082 14 Quadrants Quadrants NNP A52264 1082 15 , , , A52264 1082 16 and and CC A52264 1082 17 their -PRON- PRP$ A52264 1082 18 common common JJ A52264 1082 19 complement complement NN A52264 1082 20 is be VBZ A52264 1082 21 LF LF NNP A52264 1082 22 . . . A52264 1083 1 KM KM NNP A52264 1083 2 is be VBZ A52264 1083 3 equal equal JJ A52264 1083 4 to to IN A52264 1083 5 the the DT A52264 1083 6 arch arch JJ A52264 1083 7 HI hi NN A52264 1083 8 , , , A52264 1083 9 because because IN A52264 1083 10 KI KI NNP A52264 1083 11 and and CC A52264 1083 12 MH MH NNP A52264 1083 13 are be VBP A52264 1083 14 Quadrants Quadrants NNP A52264 1083 15 , , , A52264 1083 16 and and CC A52264 1083 17 their -PRON- PRP$ A52264 1083 18 common common JJ A52264 1083 19 complement complement NN A52264 1083 20 is be VBZ A52264 1083 21 KH KH NNP A52264 1083 22 . . . A52264 1084 1 Therefore therefore RB A52264 1084 2 the the DT A52264 1084 3 sides side NNS A52264 1084 4 of of IN A52264 1084 5 the the DT A52264 1084 6 triangle triangle NN A52264 1084 7 KLM KLM NNP A52264 1084 8 are be VBP A52264 1084 9 equal equal JJ A52264 1084 10 to to IN A52264 1084 11 the the DT A52264 1084 12 angles angle NNS A52264 1084 13 of of IN A52264 1084 14 the the DT A52264 1084 15 triangle triangle NN A52264 1084 16 ABC ABC NNP A52264 1084 17 , , , A52264 1084 18 taking take VBG A52264 1084 19 for for IN A52264 1084 20 the the DT A52264 1084 21 greatest great JJS A52264 1084 22 angle angle NN A52264 1084 23 ABC ABC NNP A52264 1084 24 , , , A52264 1084 25 the the DT A52264 1084 26 complement complement NN A52264 1084 27 thereof thereof VBD A52264 1084 28 FBG fbg NN A52264 1084 29 . . . A52264 1085 1 And and CC A52264 1085 2 by by IN A52264 1085 3 the the DT A52264 1085 4 like like JJ A52264 1085 5 reason reason NN A52264 1085 6 it -PRON- PRP A52264 1085 7 may may MD A52264 1085 8 be be VB A52264 1085 9 demonstrated demonstrate VBN A52264 1085 10 , , , A52264 1085 11 that that IN A52264 1085 12 the the DT A52264 1085 13 sides side NNS A52264 1085 14 of of IN A52264 1085 15 the the DT A52264 1085 16 triangle triangle NN A52264 1085 17 ABC ABC NNP A52264 1085 18 are be VBP A52264 1085 19 equal equal JJ A52264 1085 20 to to IN A52264 1085 21 the the DT A52264 1085 22 angles angle NNS A52264 1085 23 of of IN A52264 1085 24 the the DT A52264 1085 25 triangle triangle NN A52264 1085 26 KLM KLM NNP A52264 1085 27 . . . A52264 1086 1 For for IN A52264 1086 2 the the DT A52264 1086 3 side side NN A52264 1086 4 AC AC NNP A52264 1086 5 is be VBZ A52264 1086 6 equall equall JJ A52264 1086 7 to to IN A52264 1086 8 the the DT A52264 1086 9 arch arch JJ A52264 1086 10 DI DI NNP A52264 1086 11 , , , A52264 1086 12 being be VBG A52264 1086 13 the the DT A52264 1086 14 measure measure NN A52264 1086 15 of of IN A52264 1086 16 the the DT A52264 1086 17 angle angle NN A52264 1086 18 DKI DKI NNP A52264 1086 19 , , , A52264 1086 20 which which WDT A52264 1086 21 is be VBZ A52264 1086 22 the the DT A52264 1086 23 complement complement NN A52264 1086 24 of of IN A52264 1086 25 the the DT A52264 1086 26 obtuse obtuse JJ A52264 1086 27 angle angle NN A52264 1086 28 MKL MKL NNP A52264 1086 29 . . . A52264 1087 1 The the DT A52264 1087 2 side side NN A52264 1087 3 AB AB NNP A52264 1087 4 is be VBZ A52264 1087 5 equall equall JJ A52264 1087 6 to to IN A52264 1087 7 the the DT A52264 1087 8 arch arch JJ A52264 1087 9 OP op NN A52264 1087 10 , , , A52264 1087 11 being be VBG A52264 1087 12 the the DT A52264 1087 13 measure measure NN A52264 1087 14 of of IN A52264 1087 15 the the DT A52264 1087 16 angle angle NN A52264 1087 17 MLK MLK NNP A52264 1087 18 . . . A52264 1088 1 And and CC A52264 1088 2 lastly lastly RB A52264 1088 3 , , , A52264 1088 4 the the DT A52264 1088 5 side side NN A52264 1088 6 BC BC NNP A52264 1088 7 is be VBZ A52264 1088 8 equal equal JJ A52264 1088 9 to to IN A52264 1088 10 the the DT A52264 1088 11 arch arch JJ A52264 1088 12 FH FH NNP A52264 1088 13 , , , A52264 1088 14 being be VBG A52264 1088 15 the the DT A52264 1088 16 measure measure NN A52264 1088 17 of of IN A52264 1088 18 the the DT A52264 1088 19 angle angle NN A52264 1088 20 LMK LMK NNP A52264 1088 21 , , , A52264 1088 22 for for IN A52264 1088 23 AD ad NN A52264 1088 24 and and CC A52264 1088 25 CI CI NNP A52264 1088 26 are be VBP A52264 1088 27 Quadrants Quadrants NNP A52264 1088 28 : : : A52264 1088 29 so so CC A52264 1088 30 are be VBP A52264 1088 31 AP AP NNP A52264 1088 32 and and CC A52264 1088 33 OB OB NNP A52264 1088 34 , , , A52264 1088 35 BF BF NNP A52264 1088 36 and and CC A52264 1088 37 CH CH NNP A52264 1088 38 . . . A52264 1089 1 And and CC A52264 1089 2 CD CD NNP A52264 1089 3 , , , A52264 1089 4 AO AO NNP A52264 1089 5 , , , A52264 1089 6 and and CC A52264 1089 7 CF CF NNP A52264 1089 8 are be VBP A52264 1089 9 the the DT A52264 1089 10 common common JJ A52264 1089 11 complements complement NNS A52264 1089 12 of of IN A52264 1089 13 two two CD A52264 1089 14 of of IN A52264 1089 15 those those DT A52264 1089 16 arches arch NNS A52264 1089 17 . . . A52264 1090 1 Therefore therefore RB A52264 1090 2 the the DT A52264 1090 3 sides side NNS A52264 1090 4 of of IN A52264 1090 5 a a DT A52264 1090 6 spherical spherical JJ A52264 1090 7 triangle triangle NN A52264 1090 8 may may MD A52264 1090 9 be be VB A52264 1090 10 changed change VBN A52264 1090 11 into into IN A52264 1090 12 angles angle NNS A52264 1090 13 , , , A52264 1090 14 and and CC A52264 1090 15 the the DT A52264 1090 16 angles angle NNS A52264 1090 17 into into IN A52264 1090 18 sides side NNS A52264 1090 19 , , , A52264 1090 20 which which WDT A52264 1090 21 was be VBD A52264 1090 22 to to TO A52264 1090 23 be be VB A52264 1090 24 demonstrated demonstrate VBN A52264 1090 25 . . . A52264 1091 1 6 6 CD A52264 1091 2 . . . A52264 1092 1 The the DT A52264 1092 2 three three CD A52264 1092 3 sides side NNS A52264 1092 4 of of IN A52264 1092 5 any any DT A52264 1092 6 spherical spherical JJ A52264 1092 7 triangle triangle NN A52264 1092 8 are be VBP A52264 1092 9 lesse lesse NNP A52264 1092 10 then then RB A52264 1092 11 two two CD A52264 1092 12 Semicircles Semicircles NNP A52264 1092 13 . . . A52264 1093 1 7 7 LS A52264 1093 2 . . . A52264 1094 1 The the DT A52264 1094 2 three three CD A52264 1094 3 angles angle NNS A52264 1094 4 of of IN A52264 1094 5 a a DT A52264 1094 6 spherical spherical JJ A52264 1094 7 triangle triangle NN A52264 1094 8 are be VBP A52264 1094 9 greater great JJR A52264 1094 10 then then RB A52264 1094 11 two two CD A52264 1094 12 right right JJ A52264 1094 13 angles angle NNS A52264 1094 14 , , , A52264 1094 15 and and CC A52264 1094 16 therefore therefore RB A52264 1094 17 two two CD A52264 1094 18 angles angle NNS A52264 1094 19 being be VBG A52264 1094 20 known know VBN A52264 1094 21 , , , A52264 1094 22 the the DT A52264 1094 23 third third JJ A52264 1094 24 is be VBZ A52264 1094 25 not not RB A52264 1094 26 known know VBN A52264 1094 27 by by IN A52264 1094 28 consequence consequence NN A52264 1094 29 , , , A52264 1094 30 as as IN A52264 1094 31 in in IN A52264 1094 32 plain plain JJ A52264 1094 33 triangles triangle NNS A52264 1094 34 . . . A52264 1095 1 8 8 LS A52264 1095 2 . . . A52264 1096 1 If if IN A52264 1096 2 a a DT A52264 1096 3 spherical spherical JJ A52264 1096 4 triangle triangle NN A52264 1096 5 have have VBP A52264 1096 6 one one CD A52264 1096 7 or or CC A52264 1096 8 more more JJR A52264 1096 9 right right JJ A52264 1096 10 angles angle NNS A52264 1096 11 , , , A52264 1096 12 it -PRON- PRP A52264 1096 13 is be VBZ A52264 1096 14 called call VBN A52264 1096 15 a a DT A52264 1096 16 right right JJ A52264 1096 17 angled angle VBN A52264 1096 18 spherical spherical JJ A52264 1096 19 triangle triangle NN A52264 1096 20 . . . A52264 1097 1 9 9 CD A52264 1097 2 . . . A52264 1098 1 If if IN A52264 1098 2 a a DT A52264 1098 3 spherical spherical JJ A52264 1098 4 triangle triangle NN A52264 1098 5 have have VBP A52264 1098 6 one one CD A52264 1098 7 or or CC A52264 1098 8 more more JJR A52264 1098 9 of of IN A52264 1098 10 his -PRON- PRP$ A52264 1098 11 sides side NNS A52264 1098 12 quadrants quadrant VBZ A52264 1098 13 , , , A52264 1098 14 it -PRON- PRP A52264 1098 15 is be VBZ A52264 1098 16 called call VBN A52264 1098 17 a a DT A52264 1098 18 quadrantal quadrantal JJ A52264 1098 19 triangle triangle NN A52264 1098 20 . . . A52264 1099 1 10 10 CD A52264 1099 2 . . . A52264 1100 1 If if IN A52264 1100 2 it -PRON- PRP A52264 1100 3 have have VBP A52264 1100 4 neither neither CC A52264 1100 5 right right JJ A52264 1100 6 angle angle NN A52264 1100 7 , , , A52264 1100 8 nor nor CC A52264 1100 9 any any DT A52264 1100 10 side side NN A52264 1100 11 a a DT A52264 1100 12 quadrant quadrant NN A52264 1100 13 , , , A52264 1100 14 it -PRON- PRP A52264 1100 15 is be VBZ A52264 1100 16 called call VBN A52264 1100 17 an an DT A52264 1100 18 oblique oblique JJ A52264 1100 19 spherical spherical JJ A52264 1100 20 triangle triangle NN A52264 1100 21 . . . A52264 1101 1 11 11 CD A52264 1101 2 . . . A52264 1102 1 Two two CD A52264 1102 2 oblique oblique JJ A52264 1102 3 angles angle NNS A52264 1102 4 of of IN A52264 1102 5 a a DT A52264 1102 6 spherical spherical JJ A52264 1102 7 triangle triangle NN A52264 1102 8 are be VBP A52264 1102 9 either either DT A52264 1102 10 of of IN A52264 1102 11 them -PRON- PRP A52264 1102 12 of of IN A52264 1102 13 the the DT A52264 1102 14 same same JJ A52264 1102 15 kinde kinde NNP A52264 1102 16 of of IN A52264 1102 17 which which WDT A52264 1102 18 their -PRON- PRP$ A52264 1102 19 opposite opposite JJ A52264 1102 20 sides side NNS A52264 1102 21 are be VBP A52264 1102 22 . . . A52264 1103 1 12 12 CD A52264 1103 2 . . . A52264 1104 1 If if IN A52264 1104 2 any any DT A52264 1104 3 angle angle NN A52264 1104 4 of of IN A52264 1104 5 a a DT A52264 1104 6 triangle triangle NN A52264 1104 7 be be VB A52264 1104 8 neerer neer JJR A52264 1104 9 to to IN A52264 1104 10 a a DT A52264 1104 11 quadrant quadrant NN A52264 1104 12 then then RB A52264 1104 13 his -PRON- PRP$ A52264 1104 14 opposite opposite JJ A52264 1104 15 side side NN A52264 1104 16 : : : A52264 1104 17 two two CD A52264 1104 18 sides side NNS A52264 1104 19 of of IN A52264 1104 20 that that DT A52264 1104 21 triangle triangle NN A52264 1104 22 shall shall MD A52264 1104 23 be be VB A52264 1104 24 of of IN A52264 1104 25 one one CD A52264 1104 26 kinde kinde NNP A52264 1104 27 , , , A52264 1104 28 and and CC A52264 1104 29 the the DT A52264 1104 30 third third JJ A52264 1104 31 lesse lesse NN A52264 1104 32 then then RB A52264 1104 33 a a DT A52264 1104 34 quadrant quadrant NN A52264 1104 35 . . . A52264 1105 1 13 13 CD A52264 1105 2 . . . A52264 1106 1 But but CC A52264 1106 2 if if IN A52264 1106 3 any any DT A52264 1106 4 side side NN A52264 1106 5 of of IN A52264 1106 6 a a DT A52264 1106 7 triangle triangle NN A52264 1106 8 be be VB A52264 1106 9 nearer nearer IN A52264 1106 10 to to IN A52264 1106 11 a a DT A52264 1106 12 quadrant quadrant NN A52264 1106 13 then then RB A52264 1106 14 his -PRON- PRP$ A52264 1106 15 opposite opposite JJ A52264 1106 16 angle angle NN A52264 1106 17 , , , A52264 1106 18 two two CD A52264 1106 19 angles angle NNS A52264 1106 20 of of IN A52264 1106 21 that that DT A52264 1106 22 triangle triangle NN A52264 1106 23 shall shall MD A52264 1106 24 be be VB A52264 1106 25 of of IN A52264 1106 26 one one CD A52264 1106 27 kinde kinde NNP A52264 1106 28 , , , A52264 1106 29 and and CC A52264 1106 30 the the DT A52264 1106 31 third third JJ A52264 1106 32 greater great JJR A52264 1106 33 then then RB A52264 1106 34 a a DT A52264 1106 35 quadrant quadrant NN A52264 1106 36 . . . A52264 1107 1 14 14 CD A52264 1107 2 . . . A52264 1108 1 If if IN A52264 1108 2 a a DT A52264 1108 3 spherical spherical JJ A52264 1108 4 triangle triangle NN A52264 1108 5 be be VB A52264 1108 6 both both RB A52264 1108 7 right right RB A52264 1108 8 angled angled JJ A52264 1108 9 and and CC A52264 1108 10 quadrantal quadrantal JJ A52264 1108 11 , , , A52264 1108 12 the the DT A52264 1108 13 sides side NNS A52264 1108 14 thereof thereof RB A52264 1108 15 are be VBP A52264 1108 16 equall equall JJ A52264 1108 17 to to IN A52264 1108 18 the the DT A52264 1108 19 opposite opposite JJ A52264 1108 20 angles angle NNS A52264 1108 21 . . . A52264 1109 1 For for IN A52264 1109 2 if if IN A52264 1109 3 it -PRON- PRP A52264 1109 4 have have VBP A52264 1109 5 three three CD A52264 1109 6 right right JJ A52264 1109 7 angles angle NNS A52264 1109 8 , , , A52264 1109 9 the the DT A52264 1109 10 three three CD A52264 1109 11 sides side NNS A52264 1109 12 are be VBP A52264 1109 13 quadrants quadrant NNS A52264 1109 14 , , , A52264 1109 15 if if IN A52264 1109 16 it -PRON- PRP A52264 1109 17 have have VBP A52264 1109 18 two two CD A52264 1109 19 right right JJ A52264 1109 20 angles angle NNS A52264 1109 21 , , , A52264 1109 22 the the DT A52264 1109 23 two two CD A52264 1109 24 sides side NNS A52264 1109 25 subtending subtend VBG A52264 1109 26 them -PRON- PRP A52264 1109 27 are be VBP A52264 1109 28 quadrants quadrant NNS A52264 1109 29 ; ; : A52264 1109 30 if if IN A52264 1109 31 it -PRON- PRP A52264 1109 32 have have VBP A52264 1109 33 one one CD A52264 1109 34 right right JJ A52264 1109 35 angle angle NN A52264 1109 36 , , , A52264 1109 37 and and CC A52264 1109 38 one one CD A52264 1109 39 side side NN A52264 1109 40 a a DT A52264 1109 41 quadrant quadrant NN A52264 1109 42 , , , A52264 1109 43 it -PRON- PRP A52264 1109 44 hath hath VBP A52264 1109 45 two two CD A52264 1109 46 right right JJ A52264 1109 47 angles angle NNS A52264 1109 48 and and CC A52264 1109 49 two two CD A52264 1109 50 quadrantal quadrantal JJ A52264 1109 51 sides side NNS A52264 1109 52 , , , A52264 1109 53 as as IN A52264 1109 54 is be VBZ A52264 1109 55 evident evident JJ A52264 1109 56 by by IN A52264 1109 57 the the DT A52264 1109 58 third third JJ A52264 1109 59 Proposition Proposition NNP A52264 1109 60 . . . A52264 1110 1 But but CC A52264 1110 2 if if IN A52264 1110 3 two two CD A52264 1110 4 sides side NNS A52264 1110 5 be be VBP A52264 1110 6 quadrants quadrant NNS A52264 1110 7 , , , A52264 1110 8 the the DT A52264 1110 9 third third JJ A52264 1110 10 measureth measureth NNP A52264 1110 11 their -PRON- PRP$ A52264 1110 12 contained contain VBN A52264 1110 13 angle angle NN A52264 1110 14 , , , A52264 1110 15 by by IN A52264 1110 16 the the DT A52264 1110 17 fourth fourth JJ A52264 1110 18 proposition proposition NN A52264 1110 19 . . . A52264 1111 1 Therefore therefore RB A52264 1111 2 for for IN A52264 1111 3 the the DT A52264 1111 4 solution solution NN A52264 1111 5 of of IN A52264 1111 6 these these DT A52264 1111 7 kindes kinde NNS A52264 1111 8 of of IN A52264 1111 9 triangles triangle NNS A52264 1111 10 , , , A52264 1111 11 there there EX A52264 1111 12 needs need VBZ A52264 1111 13 no no DT A52264 1111 14 further further JJ A52264 1111 15 rule rule NN A52264 1111 16 : : : A52264 1111 17 But but CC A52264 1111 18 for for IN A52264 1111 19 the the DT A52264 1111 20 solution solution NN A52264 1111 21 of of IN A52264 1111 22 right right NN A52264 1111 23 angled angle VBN A52264 1111 24 , , , A52264 1111 25 quadrantall quadrantall NNP A52264 1111 26 , , , A52264 1111 27 and and CC A52264 1111 28 oblique oblique JJ A52264 1111 29 spherical spherical JJ A52264 1111 30 triangles triangle NNS A52264 1111 31 there there EX A52264 1111 32 are be VBP A52264 1111 33 other other JJ A52264 1111 34 affections affection NNS A52264 1111 35 proper proper JJ A52264 1111 36 to to IN A52264 1111 37 them -PRON- PRP A52264 1111 38 , , , A52264 1111 39 which which WDT A52264 1111 40 are be VBP A52264 1111 41 necessary necessary JJ A52264 1111 42 to to TO A52264 1111 43 be be VB A52264 1111 44 known know VBN A52264 1111 45 as as RB A52264 1111 46 well well RB A52264 1111 47 as as IN A52264 1111 48 these these DT A52264 1111 49 general general JJ A52264 1111 50 affections affection NNS A52264 1111 51 common common JJ A52264 1111 52 to to IN A52264 1111 53 all all DT A52264 1111 54 spherical spherical JJ A52264 1111 55 triangles triangle NNS A52264 1111 56 . . . A52264 1112 1 The the DT A52264 1112 2 affections affection NNS A52264 1112 3 proper proper JJ A52264 1112 4 to to IN A52264 1112 5 right right RB A52264 1112 6 angled angled JJ A52264 1112 7 and and CC A52264 1112 8 quadrantal quadrantal JJ A52264 1112 9 triangles triangle NNS A52264 1112 10 we -PRON- PRP A52264 1112 11 will will MD A52264 1112 12 speak speak VB A52264 1112 13 of of IN A52264 1112 14 first first RB A52264 1112 15 . . . A52264 1113 1 CHAP CHAP NNP A52264 1113 2 . . . A52264 1114 1 VIII VIII NNP A52264 1114 2 . . . A52264 1115 1 Of of IN A52264 1115 2 the the DT A52264 1115 3 affections affection NNS A52264 1115 4 of of IN A52264 1115 5 right right JJ A52264 1115 6 angled angle VBN A52264 1115 7 Sphericall Sphericall NNP A52264 1115 8 Triangles Triangles NNPS A52264 1115 9 . . . A52264 1116 1 IN in IN A52264 1116 2 all all DT A52264 1116 3 spherical spherical JJ A52264 1116 4 rectangled rectangle VBN A52264 1116 5 Triangles triangle NNS A52264 1116 6 , , , A52264 1116 7 having have VBG A52264 1116 8 the the DT A52264 1116 9 same same JJ A52264 1116 10 acute acute JJ A52264 1116 11 angle angle NN A52264 1116 12 at at IN A52264 1116 13 the the DT A52264 1116 14 base base NN A52264 1116 15 : : : A52264 1116 16 The the DT A52264 1116 17 sines sine NNS A52264 1116 18 of of IN A52264 1116 19 the the DT A52264 1116 20 hypothenusals hypothenusal NNS A52264 1116 21 are be VBP A52264 1116 22 proportional proportional JJ A52264 1116 23 to to IN A52264 1116 24 the the DT A52264 1116 25 sines sine NNS A52264 1116 26 of of IN A52264 1116 27 their -PRON- PRP$ A52264 1116 28 perpēdiculars perpēdicular NNS A52264 1116 29 . . . A52264 1117 1 As as IN A52264 1117 2 in in IN A52264 1117 3 the the DT A52264 1117 4 annexed annex VBN A52264 1117 5 diagram diagram NN A52264 1117 6 , , , A52264 1117 7 let let VBD A52264 1117 8 ADB ADB NNP A52264 1117 9 represent represent VB A52264 1117 10 a a DT A52264 1117 11 spherical spherical JJ A52264 1117 12 triangle triangle NN A52264 1117 13 , , , A52264 1117 14 right right RB A52264 1117 15 angled angle VBD A52264 1117 16 at at IN A52264 1117 17 B b NN A52264 1117 18 : : : A52264 1117 19 so so IN A52264 1117 20 that that IN A52264 1117 21 AD ad NN A52264 1117 22 is be VBZ A52264 1117 23 the the DT A52264 1117 24 sine sine NN A52264 1117 25 of of IN A52264 1117 26 the the DT A52264 1117 27 hypothenusal hypothenusal NN A52264 1117 28 , , , A52264 1117 29 AB AB NNP A52264 1117 30 the the DT A52264 1117 31 sine sine NN A52264 1117 32 of of IN A52264 1117 33 the the DT A52264 1117 34 base base NN A52264 1117 35 , , , A52264 1117 36 and and CC A52264 1117 37 DB DB NNP A52264 1117 38 is be VBZ A52264 1117 39 the the DT A52264 1117 40 perpendicular perpendicular JJ A52264 1117 41 . . . A52264 1118 1 Then then RB A52264 1118 2 is be VBZ A52264 1118 3 DAB DAB NNP A52264 1118 4 the the DT A52264 1118 5 angle angle NN A52264 1118 6 at at IN A52264 1118 7 the the DT A52264 1118 8 base base NN A52264 1118 9 , , , A52264 1118 10 and and CC A52264 1118 11 IH IH NNP A52264 1118 12 the the DT A52264 1118 13 sine sine NN A52264 1118 14 , , , A52264 1118 15 and and CC A52264 1118 16 LM LM NNP A52264 1118 17 the the DT A52264 1118 18 tangent tangent NN A52264 1118 19 thereof thereof RB A52264 1118 20 : : : A52264 1118 21 Also also RB A52264 1118 22 DF DF NNP A52264 1118 23 is be VBZ A52264 1118 24 the the DT A52264 1118 25 sine sine NN A52264 1118 26 of of IN A52264 1118 27 the the DT A52264 1118 28 perpendicular perpendicular JJ A52264 1118 29 DB DB NNP A52264 1118 30 , , , A52264 1118 31 and and CC A52264 1118 32 KB KB NNP A52264 1118 33 is be VBZ A52264 1118 34 the the DT A52264 1118 35 tangent tangent NN A52264 1118 36 thereof thereof RB A52264 1118 37 : : : A52264 1118 38 I -PRON- PRP A52264 1118 39 say say VBP A52264 1118 40 then then RB A52264 1118 41 , , , A52264 1118 42 As as IN A52264 1118 43 AD ad NN A52264 1118 44 , , , A52264 1118 45 is be VBZ A52264 1118 46 to to TO A52264 1118 47 FD FD NNP A52264 1118 48 : : : A52264 1118 49 So so RB A52264 1118 50 is be VBZ A52264 1118 51 AI AI NNP A52264 1118 52 , , , A52264 1118 53 to to IN A52264 1118 54 IH IH NNP A52264 1118 55 , , , A52264 1118 56 by by IN A52264 1118 57 the the DT A52264 1118 58 16 16 CD A52264 1118 59 th th NN A52264 1118 60 . . . A52264 1119 1 Theoreme Theoreme NNP A52264 1119 2 of of IN A52264 1119 3 the the DT A52264 1119 4 second second JJ A52264 1119 5 Chapter chapter NN A52264 1119 6 . . . A52264 1120 1 And and CC A52264 1120 2 because because IN A52264 1120 3 it -PRON- PRP A52264 1120 4 is be VBZ A52264 1120 5 all all DT A52264 1120 6 one one CD A52264 1120 7 , , , A52264 1120 8 whether whether IN A52264 1120 9 of of IN A52264 1120 10 the the DT A52264 1120 11 mean mean JJ A52264 1120 12 proportionals proportional NNS A52264 1120 13 be be VB A52264 1120 14 put put VBN A52264 1120 15 in in IN A52264 1120 16 the the DT A52264 1120 17 second second JJ A52264 1120 18 place place NN A52264 1120 19 ; ; : A52264 1120 20 therefore therefore RB A52264 1120 21 I -PRON- PRP A52264 1120 22 may may MD A52264 1120 23 say say VB A52264 1120 24 : : : A52264 1120 25 As as IN A52264 1120 26 AD ad NN A52264 1120 27 , , , A52264 1120 28 the the DT A52264 1120 29 sine sine NN A52264 1120 30 of of IN A52264 1120 31 the the DT A52264 1120 32 hypothenusal hypothenusal NN A52264 1120 33 , , , A52264 1120 34 is be VBZ A52264 1120 35 in in IN A52264 1120 36 proportion proportion NN A52264 1120 37 to to IN A52264 1120 38 AI AI NNP A52264 1120 39 Radius Radius NNP A52264 1120 40 : : : A52264 1120 41 So so RB A52264 1120 42 is be VBZ A52264 1120 43 FD FD NNP A52264 1120 44 , , , A52264 1120 45 the the DT A52264 1120 46 sine sine NN A52264 1120 47 of of IN A52264 1120 48 the the DT A52264 1120 49 perpendicular perpendicular NN A52264 1120 50 , , , A52264 1120 51 to to IN A52264 1120 52 IH IH NNP A52264 1120 53 the the DT A52264 1120 54 sine sine NN A52264 1120 55 of of IN A52264 1120 56 the the DT A52264 1120 57 angle angle NN A52264 1120 58 at at IN A52264 1120 59 the the DT A52264 1120 60 base base NN A52264 1120 61 . . . A52264 1121 1 2 2 LS A52264 1121 2 . . . A52264 1122 1 In in IN A52264 1122 2 all all DT A52264 1122 3 rectangled rectangle VBN A52264 1122 4 spherical spherical JJ A52264 1122 5 triangles triangle NNS A52264 1122 6 , , , A52264 1122 7 having have VBG A52264 1122 8 the the DT A52264 1122 9 same same JJ A52264 1122 10 acute acute JJ A52264 1122 11 angle angle NN A52264 1122 12 at at IN A52264 1122 13 the the DT A52264 1122 14 base base NN A52264 1122 15 . . . A52264 1123 1 The the DT A52264 1123 2 sines sine NNS A52264 1123 3 of of IN A52264 1123 4 the the DT A52264 1123 5 bases basis NNS A52264 1123 6 , , , A52264 1123 7 and and CC A52264 1123 8 the the DT A52264 1123 9 tangents tangent NNS A52264 1123 10 of of IN A52264 1123 11 the the DT A52264 1123 12 perpendiculars perpendicular NNS A52264 1123 13 are be VBP A52264 1123 14 proportional proportional JJ A52264 1123 15 . . . A52264 1124 1 For for IN A52264 1124 2 as as IN A52264 1124 3 AB AB NNP A52264 1124 4 , , , A52264 1124 5 to to IN A52264 1124 6 KB KB NNP A52264 1124 7 ; ; : A52264 1124 8 so so RB A52264 1124 9 is be VBZ A52264 1124 10 AM am NN A52264 1124 11 , , , A52264 1124 12 to to IN A52264 1124 13 ML ML NNP A52264 1124 14 , , , A52264 1124 15 by by IN A52264 1124 16 the the DT A52264 1124 17 16 16 CD A52264 1124 18 th th NN A52264 1124 19 . . . A52264 1125 1 Theorem theorem NN A52264 1125 2 of of IN A52264 1125 3 the the DT A52264 1125 4 second second JJ A52264 1125 5 Chapter chapter NN A52264 1125 6 : : : A52264 1125 7 or or CC A52264 1125 8 which which WDT A52264 1125 9 is be VBZ A52264 1125 10 all all DT A52264 1125 11 one one CD A52264 1125 12 ; ; : A52264 1125 13 As as IN A52264 1125 14 AB AB NNP A52264 1125 15 , , , A52264 1125 16 the the DT A52264 1125 17 sine sine NN A52264 1125 18 of of IN A52264 1125 19 the the DT A52264 1125 20 base base NN A52264 1125 21 , , , A52264 1125 22 is be VBZ A52264 1125 23 in in IN A52264 1125 24 proportion proportion NN A52264 1125 25 to to IN A52264 1125 26 AM AM NNP A52264 1125 27 Radius radius NN A52264 1125 28 : : : A52264 1125 29 so so RB A52264 1125 30 is be VBZ A52264 1125 31 BK BK NNP A52264 1125 32 , , , A52264 1125 33 the the DT A52264 1125 34 tangent tangent NN A52264 1125 35 of of IN A52264 1125 36 the the DT A52264 1125 37 perpendicular perpendicular NN A52264 1125 38 , , , A52264 1125 39 to to IN A52264 1125 40 ML ML NNP A52264 1125 41 , , , A52264 1125 42 the the DT A52264 1125 43 tangent tangent NN A52264 1125 44 of of IN A52264 1125 45 the the DT A52264 1125 46 angle angle NN A52264 1125 47 at at IN A52264 1125 48 the the DT A52264 1125 49 base base NN A52264 1125 50 . . . A52264 1126 1 3 3 LS A52264 1126 2 . . . A52264 1127 1 If if IN A52264 1127 2 ● ● CD A52264 1127 3 circles circle NNS A52264 1127 4 of of IN A52264 1127 5 the the DT A52264 1127 6 Sphere Sphere NNP A52264 1127 7 be be VB A52264 1127 8 so so RB A52264 1127 9 ordered order VBN A52264 1127 10 , , , A52264 1127 11 that that IN A52264 1127 12 the the DT A52264 1127 13 first first JJ A52264 1127 14 intersect intersect NN A52264 1127 15 the the DT A52264 1127 16 second second JJ A52264 1127 17 , , , A52264 1127 18 the the DT A52264 1127 19 second second JJ A52264 1127 20 the the DT A52264 1127 21 third third JJ A52264 1127 22 , , , A52264 1127 23 the the DT A52264 1127 24 third third JJ A52264 1127 25 the the DT A52264 1127 26 fourth fourth JJ A52264 1127 27 , , , A52264 1127 28 the the DT A52264 1127 29 fourth fourth JJ A52264 1127 30 the the DT A52264 1127 31 fift fift NN A52264 1127 32 , , , A52264 1127 33 and and CC A52264 1127 34 the the DT A52264 1127 35 fift fift NN A52264 1127 36 the the DT A52264 1127 37 fift fift NN A52264 1127 38 at at IN A52264 1127 39 right right JJ A52264 1127 40 angles angle NNS A52264 1127 41 : : : A52264 1127 42 the the DT A52264 1127 43 right right NN A52264 1127 44 angled angle VBN A52264 1127 45 triangles triangle NNS A52264 1127 46 made make VBN A52264 1127 47 by by IN A52264 1127 48 their -PRON- PRP$ A52264 1127 49 intersections intersection NNS A52264 1127 50 do do VBP A52264 1127 51 all all DT A52264 1127 52 consist consist VB A52264 1127 53 of of IN A52264 1127 54 the the DT A52264 1127 55 same same JJ A52264 1127 56 circular circular JJ A52264 1127 57 parts part NNS A52264 1127 58 . . . A52264 1128 1 As as IN A52264 1128 2 in in IN A52264 1128 3 this this DT A52264 1128 4 Scheme Scheme NNP A52264 1128 5 , , , A52264 1128 6 let let VB A52264 1128 7 IGAB IGAB NNP A52264 1128 8 be be VB A52264 1128 9 the the DT A52264 1128 10 first first JJ A52264 1128 11 circle circle NN A52264 1128 12 , , , A52264 1128 13 BLF blf VB A52264 1128 14 the the DT A52264 1128 15 second second NN A52264 1128 16 , , , A52264 1128 17 FEC FEC NNP A52264 1128 18 the the DT A52264 1128 19 third third JJ A52264 1128 20 , , , A52264 1128 21 GAD GAD NNP A52264 1128 22 the the DT A52264 1128 23 fourth fourth JJ A52264 1128 24 , , , A52264 1128 25 HLEI HLEI VBD A52264 1128 26 the the DT A52264 1128 27 fift fift NN A52264 1128 28 . . . A52264 1129 1 Then then RB A52264 1129 2 do do VB A52264 1129 3 these these DT A52264 1129 4 five five CD A52264 1129 5 circles circle NNS A52264 1129 6 retain retain VBP A52264 1129 7 the the DT A52264 1129 8 conditions condition NNS A52264 1129 9 required require VBN A52264 1129 10 . . . A52264 1130 1 The the DT A52264 1130 2 first first JJ A52264 1130 3 intersecting intersect VBG A52264 1130 4 the the DT A52264 1130 5 second second JJ A52264 1130 6 in in IN A52264 1130 7 B B NNP A52264 1130 8 , , , A52264 1130 9 the the DT A52264 1130 10 second second JJ A52264 1130 11 the the DT A52264 1130 12 third third JJ A52264 1130 13 in in IN A52264 1130 14 F F NNP A52264 1130 15 , , , A52264 1130 16 the the DT A52264 1130 17 third third JJ A52264 1130 18 the the DT A52264 1130 19 fourth fourth JJ A52264 1130 20 in in IN A52264 1130 21 C C NNP A52264 1130 22 , , , A52264 1130 23 the the DT A52264 1130 24 fourth fourth JJ A52264 1130 25 the the DT A52264 1130 26 fift fift NN A52264 1130 27 in in IN A52264 1130 28 H h NN A52264 1130 29 , , , A52264 1130 30 the the DT A52264 1130 31 fift fift NN A52264 1130 32 the the DT A52264 1130 33 angle angle NN A52264 1130 34 , , , A52264 1130 35 we -PRON- PRP A52264 1130 36 mark mark VBP A52264 1130 37 or or CC A52264 1130 38 note note VBP A52264 1130 39 intersections intersection NNS A52264 1130 40 at at IN A52264 1130 41 B B NNP A52264 1130 42 , , , A52264 1130 43 F F NNP A52264 1130 44 , , , A52264 1130 45 ● ● NFP A52264 1130 46 to to IN A52264 1130 47 a a DT A52264 1130 48 quadrant quadrant NN A52264 1130 49 . . . A52264 1131 1 As as IN A52264 1131 2 angles angle NNS A52264 1131 3 ; ; : A52264 1131 4 therefore therefore RB A52264 1131 5 I -PRON- PRP A52264 1131 6 say say VBP A52264 1131 7 ● ● . A52264 1131 8 nt nt RB A52264 1131 9 as as IN A52264 1131 10 the the DT A52264 1131 11 completriangles completriangle NNS A52264 1131 12 made make VBN A52264 1131 13 by by IN A52264 1131 14 the the DT A52264 1131 15 inte inte NN A52264 1131 16 ● ● . A52264 1131 17 ● ● NFP A52264 1131 18 or or CC A52264 1131 19 AD ad NN A52264 1131 20 we -PRON- PRP A52264 1131 21 write write VBP A52264 1131 22 circles circle NNS A52264 1131 23 ; ; : A52264 1131 24 namely namely RB A52264 1131 25 , , , A52264 1131 26 ABD ABD NNP A52264 1131 27 , , , A52264 1131 28 D D NNP A52264 1131 29 ● ● CD A52264 1131 30 write write NN A52264 1131 31 compl compl JJ A52264 1131 32 . . . A52264 1132 1 EGI EGI NNP A52264 1132 2 , , , A52264 1132 3 and and CC A52264 1132 4 GCA GCA NNP A52264 1132 5 do do VBP A52264 1132 6 all all RB A52264 1132 7 co co VB A52264 1132 8 ● ● NNS A52264 1132 9 ● ● NFP A52264 1132 10 d d NN A52264 1132 11 AB AB NNP A52264 1132 12 besame besame NN A52264 1132 13 circular circular JJ A52264 1132 14 parts part NNS A52264 1132 15 ; ; , A52264 1132 16 for for IN A52264 1132 17 the the DT A52264 1132 18 circu circu NN A52264 1132 19 ● ● . A52264 1132 20 ● ● NFP A52264 1132 21 ● ● NFP A52264 1132 22 〈 〈 NNP A52264 1132 23 ◊ ◊ NNP A52264 1132 24 〉 〉 NNP A52264 1132 25 in in IN A52264 1132 26 every every DT A52264 1132 27 of of IN A52264 1132 28 these these DT A52264 1132 29 triangles triangle NNS A52264 1132 30 are be VBP A52264 1132 31 , , , A52264 1132 32 as as IN A52264 1132 33 h h NN A52264 1132 34 ● ● NFP A52264 1132 35 ● ● NFP A52264 1132 36 d d NN A52264 1132 37 by by IN A52264 1132 38 peareth peareth NN A52264 1132 39 . . . A52264 1133 1 In in IN A52264 1133 2 ABD ABD NNP A52264 1133 3 are be VBP A52264 1133 4 AB AB NNP A52264 1133 5 BD BD NNP A52264 1133 6 c c NNP A52264 1133 7 BDA BDA NNP A52264 1133 8 c c NNP A52264 1133 9 AD AD NNP A52264 1133 10 c c NN A52264 1133 11 DA DA NNP A52264 1133 12 ● ● CD A52264 1133 13 DHL DHL NNP A52264 1133 14 c c NNP A52264 1133 15 HLD HLD NNP A52264 1133 16 c c NNP A52264 1133 17 LD LD NNP A52264 1133 18 c c NNP A52264 1133 19 LDH LDH NNP A52264 1133 20 DH DH NNP A52264 1133 21 HL HL NNP A52264 1133 22 LFE LFE NNP A52264 1133 23 cō cō NN A52264 1133 24 ELF ELF NNP A52264 1133 25 LF LF NNP A52264 1133 26 FE FE NNP A52264 1133 27 cō cō NN A52264 1133 28 FEL FEL NNP A52264 1133 29 c c NNP A52264 1133 30 EL EL NNP A52264 1133 31 EGI EGI NNP A52264 1133 32 IG IG NNP A52264 1133 33 cō cō NN A52264 1133 34 IGE IGE NNP A52264 1133 35 c c NN A52264 1133 36 GE GE NNP A52264 1133 37 cō cō NN A52264 1133 38 GEI GEI NNP A52264 1133 39 IE IE NNP A52264 1133 40 GCA GCA NNP A52264 1133 41 c c NNP A52264 1133 42 GA GA NNP A52264 1133 43 c c NNP A52264 1133 44 AGC AGC NNP A52264 1133 45 GC GC NNP A52264 1133 46 CA CA NNP A52264 1133 47 c c NNP A52264 1133 48 CAG CAG NNP A52264 1133 49 Where where WRB A52264 1133 50 you -PRON- PRP A52264 1133 51 may may MD A52264 1133 52 observe observe VB A52264 1133 53 , , , A52264 1133 54 that that IN A52264 1133 55 the the DT A52264 1133 56 side side NN A52264 1133 57 AB AB NNP A52264 1133 58 in in IN A52264 1133 59 the the DT A52264 1133 60 first first JJ A52264 1133 61 triangle triangle NN A52264 1133 62 is be VBZ A52264 1133 63 equal equal JJ A52264 1133 64 to to IN A52264 1133 65 compl compl JJ A52264 1133 66 . . . A52264 1134 1 HLD hld RB A52264 1134 2 in in IN A52264 1134 3 the the DT A52264 1134 4 second second JJ A52264 1134 5 , , , A52264 1134 6 or or CC A52264 1134 7 compl compl JJ A52264 1134 8 . . . A52264 1135 1 ELF ELF NNP A52264 1135 2 in in IN A52264 1135 3 the the DT A52264 1135 4 third third JJ A52264 1135 5 , , , A52264 1135 6 or or CC A52264 1135 7 IG IG NNP A52264 1135 8 in in IN A52264 1135 9 the the DT A52264 1135 10 fourth fourth JJ A52264 1135 11 , , , A52264 1135 12 or or CC A52264 1135 13 com com NN A52264 1135 14 . . . A52264 1136 1 GA GA NNP A52264 1136 2 in in IN A52264 1136 3 the the DT A52264 1136 4 fift fift NN A52264 1136 5 ; ; : A52264 1136 6 and and CC A52264 1136 7 so so RB A52264 1136 8 of of IN A52264 1136 9 the the DT A52264 1136 10 rest rest NN A52264 1136 11 . . . A52264 1137 1 To to TO A52264 1137 2 expresse expresse VB A52264 1137 3 this this DT A52264 1137 4 more more RBR A52264 1137 5 plainly plainly RB A52264 1137 6 , , , A52264 1137 7 AB AB NNP A52264 1137 8 in in IN A52264 1137 9 the the DT A52264 1137 10 first first JJ A52264 1137 11 triangle triangle NN A52264 1137 12 is be VBZ A52264 1137 13 the the DT A52264 1137 14 complement complement NN A52264 1137 15 of of IN A52264 1137 16 the the DT A52264 1137 17 angle angle NN A52264 1137 18 HLD hld NN A52264 1137 19 in in IN A52264 1137 20 the the DT A52264 1137 21 second second JJ A52264 1137 22 , , , A52264 1137 23 or or CC A52264 1137 24 the the DT A52264 1137 25 complement complement NN A52264 1137 26 of of IN A52264 1137 27 the the DT A52264 1137 28 angle angle NN A52264 1137 29 ELF ELF NNP A52264 1137 30 in in IN A52264 1137 31 the the DT A52264 1137 32 third third JJ A52264 1137 33 , , , A52264 1137 34 or or CC A52264 1137 35 the the DT A52264 1137 36 side side NN A52264 1137 37 IG IG NNP A52264 1137 38 in in IN A52264 1137 39 the the DT A52264 1137 40 fourth fourth JJ A52264 1137 41 , , , A52264 1137 42 or or CC A52264 1137 43 the the DT A52264 1137 44 complement complement NN A52264 1137 45 of of IN A52264 1137 46 the the DT A52264 1137 47 hypothenusal hypothenusal NNP A52264 1137 48 GA GA NNP A52264 1137 49 in in IN A52264 1137 50 the the DT A52264 1137 51 fift fift NN A52264 1137 52 . . . A52264 1138 1 And and CC A52264 1138 2 from from IN A52264 1138 3 these these DT A52264 1138 4 premises premise NNS A52264 1138 5 is be VBZ A52264 1138 6 deduced deduce VBN A52264 1138 7 this this DT A52264 1138 8 universall universall JJ A52264 1138 9 proposition proposition NN A52264 1138 10 . . . A52264 1139 1 4 4 LS A52264 1139 2 . . . A52264 1140 1 The the DT A52264 1140 2 sine sine NN A52264 1140 3 of of IN A52264 1140 4 the the DT A52264 1140 5 middle middle JJ A52264 1140 6 part part NN A52264 1140 7 and and CC A52264 1140 8 Radius Radius NNP A52264 1140 9 are be VBP A52264 1140 10 reciprocally reciprocally RB A52264 1140 11 proportional proportional JJ A52264 1140 12 , , , A52264 1140 13 with with IN A52264 1140 14 the the DT A52264 1140 15 tangents tangent NNS A52264 1140 16 of of IN A52264 1140 17 the the DT A52264 1140 18 extreams extream NNS A52264 1140 19 conjunct conjunct NN A52264 1140 20 , , , A52264 1140 21 and and CC A52264 1140 22 with with IN A52264 1140 23 the the DT A52264 1140 24 co co NNS A52264 1140 25 - - NNS A52264 1140 26 sines sine NNS A52264 1140 27 of of IN A52264 1140 28 the the DT A52264 1140 29 extreams extream NNS A52264 1140 30 disjunct disjunct JJ A52264 1140 31 . . . A52264 1141 1 Namely namely RB A52264 1141 2 ; ; : A52264 1141 3 As as IN A52264 1141 4 the the DT A52264 1141 5 Radius Radius NNP A52264 1141 6 , , , A52264 1141 7 to to IN A52264 1141 8 the the DT A52264 1141 9 tangent tangent NN A52264 1141 10 of of IN A52264 1141 11 one one CD A52264 1141 12 of of IN A52264 1141 13 the the DT A52264 1141 14 extreames extreame NNS A52264 1141 15 conjoyned conjoyne VBN A52264 1141 16 : : : A52264 1141 17 so so RB A52264 1141 18 is be VBZ A52264 1141 19 tangent tangent NN A52264 1141 20 of of IN A52264 1141 21 the the DT A52264 1141 22 other other JJ A52264 1141 23 extream extream NN A52264 1141 24 conjoyned conjoyne VBN A52264 1141 25 , , , A52264 1141 26 to to IN A52264 1141 27 the the DT A52264 1141 28 sine sine NN A52264 1141 29 of of IN A52264 1141 30 the the DT A52264 1141 31 middle middle JJ A52264 1141 32 part part NN A52264 1141 33 . . . A52264 1142 1 And and CC A52264 1142 2 also also RB A52264 1142 3 ; ; : A52264 1142 4 As as IN A52264 1142 5 the the DT A52264 1142 6 Radius Radius NNP A52264 1142 7 , , , A52264 1142 8 to to IN A52264 1142 9 the the DT A52264 1142 10 co co NN A52264 1142 11 - - NN A52264 1142 12 sine sine NN A52264 1142 13 of of IN A52264 1142 14 one one CD A52264 1142 15 of of IN A52264 1142 16 the the DT A52264 1142 17 extreams extream NNS A52264 1142 18 dis dis NNP A52264 1142 19 - - HYPH A52264 1142 20 joyned joyne VBN A52264 1142 21 : : : A52264 1142 22 so so CC A52264 1142 23 the the DT A52264 1142 24 co co NN A52264 1142 25 - - NN A52264 1142 26 sine sine NN A52264 1142 27 of of IN A52264 1142 28 the the DT A52264 1142 29 other other JJ A52264 1142 30 extream extream JJ A52264 1142 31 dis dis NNP A52264 1142 32 - - HYPH A52264 1142 33 joyned joyne VBN A52264 1142 34 , , , A52264 1142 35 to to IN A52264 1142 36 the the DT A52264 1142 37 sine sine NN A52264 1142 38 of of IN A52264 1142 39 the the DT A52264 1142 40 middle middle JJ A52264 1142 41 part part NN A52264 1142 42 . . . A52264 1143 1 Therefore therefore RB A52264 1143 2 if if IN A52264 1143 3 the the DT A52264 1143 4 middle middle JJ A52264 1143 5 part part NN A52264 1143 6 be be VB A52264 1143 7 sought seek VBN A52264 1143 8 , , , A52264 1143 9 the the DT A52264 1143 10 Radius Radius NNP A52264 1143 11 must must MD A52264 1143 12 be be VB A52264 1143 13 in in IN A52264 1143 14 the the DT A52264 1143 15 first first JJ A52264 1143 16 place place NN A52264 1143 17 , , , A52264 1143 18 if if IN A52264 1143 19 either either DT A52264 1143 20 of of IN A52264 1143 21 the the DT A52264 1143 22 extreams extream NNS A52264 1143 23 ; ; : A52264 1143 24 the the DT A52264 1143 25 other other JJ A52264 1143 26 extream extream NN A52264 1143 27 must must MD A52264 1143 28 be be VB A52264 1143 29 in in IN A52264 1143 30 the the DT A52264 1143 31 first first JJ A52264 1143 32 place place NN A52264 1143 33 . . . A52264 1144 1 For for IN A52264 1144 2 the the DT A52264 1144 3 better well JJR A52264 1144 4 Demonstration Demonstration NNP A52264 1144 5 hereof hereof NNP A52264 1144 6 , , , A52264 1144 7 it -PRON- PRP A52264 1144 8 is be VBZ A52264 1144 9 first first JJ A52264 1144 10 to to TO A52264 1144 11 be be VB A52264 1144 12 understood understand VBN A52264 1144 13 , , , A52264 1144 14 that that IN A52264 1144 15 a a DT A52264 1144 16 right right NN A52264 1144 17 angled angle VBN A52264 1144 18 Spherical Spherical NNP A52264 1144 19 Triangle Triangle NNP A52264 1144 20 hath hath NNP A52264 1144 21 five five CD A52264 1144 22 parts part NNS A52264 1144 23 besides besides IN A52264 1144 24 the the DT A52264 1144 25 right right JJ A52264 1144 26 angle angle NN A52264 1144 27 . . . A52264 1145 1 As as IN A52264 1145 2 the the DT A52264 1145 3 triangle triangle NN A52264 1145 4 ABD ABD NNP A52264 1145 5 in in IN A52264 1145 6 the the DT A52264 1145 7 former former JJ A52264 1145 8 Diagram Diagram NNP A52264 1145 9 , , , A52264 1145 10 right right RB A52264 1145 11 angled angle VBD A52264 1145 12 at at IN A52264 1145 13 B B NNP A52264 1145 14 , , , A52264 1145 15 hath hath NNP A52264 1145 16 first first RB A52264 1145 17 , , , A52264 1145 18 the the DT A52264 1145 19 side side NN A52264 1145 20 AB AB NNP A52264 1145 21 : : : A52264 1145 22 secondly secondly RB A52264 1145 23 , , , A52264 1145 24 the the DT A52264 1145 25 angle angle NN A52264 1145 26 at at IN A52264 1145 27 A a NN A52264 1145 28 : : : A52264 1145 29 thirdly thirdly RB A52264 1145 30 , , , A52264 1145 31 the the DT A52264 1145 32 hypothenusal hypothenusal NNP A52264 1145 33 AD AD NNP A52264 1145 34 : : : A52264 1145 35 fourthly fourthly RB A52264 1145 36 , , , A52264 1145 37 the the DT A52264 1145 38 angle angle NN A52264 1145 39 ADB ADB NNP A52264 1145 40 : : : A52264 1145 41 fifthly fifthly RB A52264 1145 42 , , , A52264 1145 43 the the DT A52264 1145 44 side side NN A52264 1145 45 DB DB NNP A52264 1145 46 . . . A52264 1146 1 Three three CD A52264 1146 2 of of IN A52264 1146 3 these these DT A52264 1146 4 parts part NNS A52264 1146 5 which which WDT A52264 1146 6 are be VBP A52264 1146 7 farthest farthest JJ A52264 1146 8 from from IN A52264 1146 9 the the DT A52264 1146 10 right right JJ A52264 1146 11 angle angle NN A52264 1146 12 , , , A52264 1146 13 we -PRON- PRP A52264 1146 14 mark mark VBP A52264 1146 15 or or CC A52264 1146 16 no no DT A52264 1146 17 ● ● NN A52264 1146 18 e e XX A52264 1146 19 by by IN A52264 1146 20 their -PRON- PRP$ A52264 1146 21 complements complement NNS A52264 1146 22 to to IN A52264 1146 23 a a DT A52264 1146 24 quadrant quadrant NN A52264 1146 25 . . . A52264 1147 1 As as IN A52264 1147 2 the the DT A52264 1147 3 angle angle NN A52264 1147 4 BAD BAD NNP A52264 1147 5 we -PRON- PRP A52264 1147 6 account account VBP A52264 1147 7 as as IN A52264 1147 8 the the DT A52264 1147 9 complement complement NN A52264 1147 10 to to IN A52264 1147 11 the the DT A52264 1147 12 same same JJ A52264 1147 13 angle angle NN A52264 1147 14 . . . A52264 1148 1 For for IN A52264 1148 2 AD ad NN A52264 1148 3 we -PRON- PRP A52264 1148 4 write write VBP A52264 1148 5 comp comp RB A52264 1148 6 . . . A52264 1149 1 AD ad NN A52264 1149 2 , , , A52264 1149 3 and and CC A52264 1149 4 for for IN A52264 1149 5 ADB ADB NNP A52264 1149 6 we -PRON- PRP A52264 1149 7 write write VBP A52264 1149 8 compl compl JJ A52264 1149 9 . . . A52264 1150 1 ADB ADB NNP A52264 1150 2 . . . A52264 1151 1 But but CC A52264 1151 2 the the DT A52264 1151 3 two two CD A52264 1151 4 sides side NNS A52264 1151 5 DB DB NNP A52264 1151 6 and and CC A52264 1151 7 AB AB NNP A52264 1151 8 being be VBG A52264 1151 9 next next RB A52264 1151 10 to to IN A52264 1151 11 the the DT A52264 1151 12 right right JJ A52264 1151 13 angle angle NN A52264 1151 14 , , , A52264 1151 15 〈 〈 NNP A52264 1151 16 … … NFP A52264 1151 17 〉 〉 NNP A52264 1151 18 are be VBP A52264 1151 19 not not RB A52264 1151 20 noted note VBN A52264 1151 21 by by IN A52264 1151 22 their -PRON- PRP$ A52264 1151 23 complements complement NNS A52264 1151 24 . . . A52264 1152 1 Of of IN A52264 1152 2 these these DT A52264 1152 3 five five CD A52264 1152 4 parts part NNS A52264 1152 5 , , , A52264 1152 6 two two CD A52264 1152 7 are be VBP A52264 1152 8 alwayes alwaye NNS A52264 1152 9 given give VBN A52264 1152 10 to to IN A52264 1152 11 finde finde NNP A52264 1152 12 a a DT A52264 1152 13 third third JJ A52264 1152 14 , , , A52264 1152 15 and and CC A52264 1152 16 of of IN A52264 1152 17 these these DT A52264 1152 18 three three CD A52264 1152 19 one one CD A52264 1152 20 is be VBZ A52264 1152 21 in in IN A52264 1152 22 the the DT A52264 1152 23 middle middle NN A52264 1152 24 , , , A52264 1152 25 and and CC A52264 1152 26 the the DT A52264 1152 27 other other JJ A52264 1152 28 two two CD A52264 1152 29 are be VBP A52264 1152 30 extreams extream NNS A52264 1152 31 either either CC A52264 1152 32 adjacent adjacent JJ A52264 1152 33 to to IN A52264 1152 34 that that DT A52264 1152 35 middle middle JJ A52264 1152 36 one one CD A52264 1152 37 , , , A52264 1152 38 or or CC A52264 1152 39 opposite opposite RB A52264 1152 40 to to IN A52264 1152 41 it -PRON- PRP A52264 1152 42 . . . A52264 1153 1 If if IN A52264 1153 2 the the DT A52264 1153 3 parts part NNS A52264 1153 4 given give VBN A52264 1153 5 and and CC A52264 1153 6 required require VBN A52264 1153 7 are be VBP A52264 1153 8 all all DT A52264 1153 9 conjoyned conjoyne VBN A52264 1153 10 together together RB A52264 1153 11 , , , A52264 1153 12 the the DT A52264 1153 13 middle middle NN A52264 1153 14 is be VBZ A52264 1153 15 the the DT A52264 1153 16 middle middle JJ A52264 1153 17 part part NN A52264 1153 18 conjunct conjunct NN A52264 1153 19 , , , A52264 1153 20 and and CC A52264 1153 21 the the DT A52264 1153 22 extreams extream NNS A52264 1153 23 the the DT A52264 1153 24 extream extream NN A52264 1153 25 parts part NNS A52264 1153 26 conjunct conjunct NN A52264 1153 27 . . . A52264 1154 1 If if IN A52264 1154 2 again again RB A52264 1154 3 any any DT A52264 1154 4 of of IN A52264 1154 5 the the DT A52264 1154 6 parts part NNS A52264 1154 7 given give VBN A52264 1154 8 or or CC A52264 1154 9 required require VBN A52264 1154 10 be be VB A52264 1154 11 dis dis NN A52264 1154 12 - - HYPH A52264 1154 13 joyned joyne VBN A52264 1154 14 , , , A52264 1154 15 that that DT A52264 1154 16 which which WDT A52264 1154 17 stands stand VBZ A52264 1154 18 by by IN A52264 1154 19 it -PRON- PRP A52264 1154 20 self self NN A52264 1154 21 is be VBZ A52264 1154 22 the the DT A52264 1154 23 middle middle JJ A52264 1154 24 part part NN A52264 1154 25 dis dis NNP A52264 1154 26 - - HYPH A52264 1154 27 joyned joyne VBN A52264 1154 28 , , , A52264 1154 29 and and CC A52264 1154 30 the the DT A52264 1154 31 extreames extreame NNS A52264 1154 32 are be VBP A52264 1154 33 extream extream JJ A52264 1154 34 parts part NNS A52264 1154 35 dis dis NNP A52264 1154 36 - - HYPH A52264 1154 37 joyned joyne VBN A52264 1154 38 . . . A52264 1155 1 Thus thus RB A52264 1155 2 , , , A52264 1155 3 if if IN A52264 1155 4 there there EX A52264 1155 5 were be VBD A52264 1155 6 given give VBN A52264 1155 7 in in IN A52264 1155 8 the the DT A52264 1155 9 triangle triangle NN A52264 1155 10 ABD ABD NNP A52264 1155 11 , , , A52264 1155 12 the the DT A52264 1155 13 side side NN A52264 1155 14 AB AB NNP A52264 1155 15 , , , A52264 1155 16 the the DT A52264 1155 17 angle angle NN A52264 1155 18 at at IN A52264 1155 19 A A NNP A52264 1155 20 , , , A52264 1155 21 to to TO A52264 1155 22 finde finde NNP A52264 1155 23 the the DT A52264 1155 24 hypothenusal hypothenusal NNP A52264 1155 25 AD AD NNP A52264 1155 26 , , , A52264 1155 27 there there RB A52264 1155 28 the the DT A52264 1155 29 angle angle NN A52264 1155 30 at at IN A52264 1155 31 A a NN A52264 1155 32 is be VBZ A52264 1155 33 in in IN A52264 1155 34 the the DT A52264 1155 35 middle middle NN A52264 1155 36 , , , A52264 1155 37 and and CC A52264 1155 38 the the DT A52264 1155 39 sides side NNS A52264 1155 40 AD ad NN A52264 1155 41 and and CC A52264 1155 42 AB AB NNP A52264 1155 43 are be VBP A52264 1155 44 adjacent adjacent JJ A52264 1155 45 to to IN A52264 1155 46 it -PRON- PRP A52264 1155 47 ; ; : A52264 1155 48 and and CC A52264 1155 49 therefore therefore RB A52264 1155 50 the the DT A52264 1155 51 middle middle JJ A52264 1155 52 part part NN A52264 1155 53 is be VBZ A52264 1155 54 called call VBN A52264 1155 55 the the DT A52264 1155 56 middle middle JJ A52264 1155 57 conjunct conjunct NN A52264 1155 58 , , , A52264 1155 59 and and CC A52264 1155 60 the the DT A52264 1155 61 extreames extreame NNS A52264 1155 62 are be VBP A52264 1155 63 the the DT A52264 1155 64 extreames extreame NNS A52264 1155 65 conjunct conjunct NN A52264 1155 66 ; ; : A52264 1155 67 but but CC A52264 1155 68 if if IN A52264 1155 69 there there EX A52264 1155 70 were be VBD A52264 1155 71 given give VBN A52264 1155 72 the the DT A52264 1155 73 side side NN A52264 1155 74 AB AB NNP A52264 1155 75 , , , A52264 1155 76 the the DT A52264 1155 77 hypothenusal hypothenusal NN A52264 1155 78 AD AD NNP A52264 1155 79 , , , A52264 1155 80 to to TO A52264 1155 81 finde finde VB A52264 1155 82 the the DT A52264 1155 83 angle angle NN A52264 1155 84 at at IN A52264 1155 85 D d NN A52264 1155 86 , , , A52264 1155 87 here here RB A52264 1155 88 AB AB NNP A52264 1155 89 is be VBZ A52264 1155 90 the the DT A52264 1155 91 middle middle JJ A52264 1155 92 part part NN A52264 1155 93 dis dis NNP A52264 1155 94 - - HYPH A52264 1155 95 junct junct NNP A52264 1155 96 , , , A52264 1155 97 because because IN A52264 1155 98 it -PRON- PRP A52264 1155 99 is be VBZ A52264 1155 100 dis dis NN A52264 1155 101 - - HYPH A52264 1155 102 joyned joyne VBN A52264 1155 103 from from IN A52264 1155 104 the the DT A52264 1155 105 side side JJ A52264 1155 106 AD ad NN A52264 1155 107 by by IN A52264 1155 108 the the DT A52264 1155 109 angle angle NN A52264 1155 110 at at IN A52264 1155 111 A a NN A52264 1155 112 , , , A52264 1155 113 and and CC A52264 1155 114 from from IN A52264 1155 115 the the DT A52264 1155 116 angle angle NN A52264 1155 117 at at IN A52264 1155 118 D d NN A52264 1155 119 by by IN A52264 1155 120 the the DT A52264 1155 121 side side NN A52264 1155 122 DB DB NNP A52264 1155 123 , , , A52264 1155 124 for for IN A52264 1155 125 the the DT A52264 1155 126 right right JJ A52264 1155 127 angle angle NN A52264 1155 128 is be VBZ A52264 1155 129 not not RB A52264 1155 130 reckoned reckon VBN A52264 1155 131 among among IN A52264 1155 132 the the DT A52264 1155 133 circular circular JJ A52264 1155 134 parts part NNS A52264 1155 135 , , , A52264 1155 136 and and CC A52264 1155 137 here here RB A52264 1155 138 the the DT A52264 1155 139 extreams extream NNS A52264 1155 140 are be VBP A52264 1155 141 extreams extream NNS A52264 1155 142 dis dis NN A52264 1155 143 - - HYPH A52264 1155 144 junct junct NNP A52264 1155 145 . . . A52264 1156 1 These these DT A52264 1156 2 things thing NNS A52264 1156 3 premised premise VBD A52264 1156 4 , , , A52264 1156 5 we -PRON- PRP A52264 1156 6 come come VBP A52264 1156 7 now now RB A52264 1156 8 to to TO A52264 1156 9 demonstrate demonstrate VB A52264 1156 10 the the DT A52264 1156 11 proposition proposition NN A52264 1156 12 it -PRON- PRP A52264 1156 13 self self NN A52264 1156 14 , , , A52264 1156 15 consisting consist VBG A52264 1156 16 of of IN A52264 1156 17 two two CD A52264 1156 18 parts part NNS A52264 1156 19 : : : A52264 1156 20 first first RB A52264 1156 21 , , , A52264 1156 22 we -PRON- PRP A52264 1156 23 will will MD A52264 1156 24 prove prove VB A52264 1156 25 , , , A52264 1156 26 that that IN A52264 1156 27 the the DT A52264 1156 28 sine sine NN A52264 1156 29 of of IN A52264 1156 30 the the DT A52264 1156 31 middle middle JJ A52264 1156 32 part part NN A52264 1156 33 and and CC A52264 1156 34 Radius Radius NNP A52264 1156 35 are be VBP A52264 1156 36 proportional proportional JJ A52264 1156 37 with with IN A52264 1156 38 the the DT A52264 1156 39 tangents tangent NNS A52264 1156 40 of of IN A52264 1156 41 the the DT A52264 1156 42 extreams extream NNS A52264 1156 43 conjunct conjunct NN A52264 1156 44 . . . A52264 1157 1 The the DT A52264 1157 2 middle middle JJ A52264 1157 3 part part NN A52264 1157 4 is be VBZ A52264 1157 5 either either CC A52264 1157 6 one one CD A52264 1157 7 of of IN A52264 1157 8 the the DT A52264 1157 9 sides side NNS A52264 1157 10 , , , A52264 1157 11 or or CC A52264 1157 12 one one CD A52264 1157 13 of of IN A52264 1157 14 the the DT A52264 1157 15 oblique oblique JJ A52264 1157 16 angles angle NNS A52264 1157 17 , , , A52264 1157 18 or or CC A52264 1157 19 the the DT A52264 1157 20 hypothenusal hypothenusal NN A52264 1157 21 . . . A52264 1158 1 CASE CASE NNP A52264 1158 2 1 1 CD A52264 1158 3 . . . A52264 1159 1 Let let VB A52264 1159 2 the the DT A52264 1159 3 middle middle JJ A52264 1159 4 part part NN A52264 1159 5 be be VB A52264 1159 6 a a DT A52264 1159 7 side side NN A52264 1159 8 , , , A52264 1159 9 as as IN A52264 1159 10 in in IN A52264 1159 11 the the DT A52264 1159 12 right right NN A52264 1159 13 angled angle VBN A52264 1159 14 spherical spherical JJ A52264 1159 15 triangle triangle NN A52264 1159 16 ABD ABD NNP A52264 1159 17 of of IN A52264 1159 18 the the DT A52264 1159 19 last last JJ A52264 1159 20 diagram diagram NN A52264 1159 21 , , , A52264 1159 22 let let VB A52264 1159 23 the the DT A52264 1159 24 perpendicular perpendicular JJ A52264 1159 25 AB AB NNP A52264 1159 26 be be VB A52264 1159 27 the the DT A52264 1159 28 middle middle JJ A52264 1159 29 part part NN A52264 1159 30 , , , A52264 1159 31 the the DT A52264 1159 32 base base NN A52264 1159 33 DB DB NNP A52264 1159 34 and and CC A52264 1159 35 comp comp NNP A52264 1159 36 . . . A52264 1160 1 A a DT A52264 1160 2 the the DT A52264 1160 3 extreame extreame NN A52264 1160 4 conjunct conjunct NN A52264 1160 5 , , , A52264 1160 6 then then RB A52264 1160 7 I -PRON- PRP A52264 1160 8 say say VBP A52264 1160 9 , , , A52264 1160 10 that that IN A52264 1160 11 the the DT A52264 1160 12 rectangle rectangle NN A52264 1160 13 of of IN A52264 1160 14 the the DT A52264 1160 15 sine sine NN A52264 1160 16 of of IN A52264 1160 17 AB AB NNP A52264 1160 18 and and CC A52264 1160 19 Radius Radius NNP A52264 1160 20 is be VBZ A52264 1160 21 equal equal JJ A52264 1160 22 to to IN A52264 1160 23 the the DT A52264 1160 24 rectangle rectangle NN A52264 1160 25 of of IN A52264 1160 26 the the DT A52264 1160 27 tangent tangent NN A52264 1160 28 of of IN A52264 1160 29 DB DB NNP A52264 1160 30 , , , A52264 1160 31 and and CC A52264 1160 32 the the DT A52264 1160 33 tangent tangent NN A52264 1160 34 of of IN A52264 1160 35 the the DT A52264 1160 36 complement complement NN A52264 1160 37 of of IN A52264 1160 38 DAB DAB NNP A52264 1160 39 : : : A52264 1160 40 for for IN A52264 1160 41 , , , A52264 1160 42 by by IN A52264 1160 43 the the DT A52264 1160 44 second second JJ A52264 1160 45 proposition proposition NN A52264 1160 46 of of IN A52264 1160 47 this this DT A52264 1160 48 Chapter chapter NN A52264 1160 49 , , , A52264 1160 50 As as IN A52264 1160 51 the the DT A52264 1160 52 sine sine NN A52264 1160 53 of of IN A52264 1160 54 AB AB NNP A52264 1160 55 , , , A52264 1160 56 is be VBZ A52264 1160 57 in in IN A52264 1160 58 proportion proportion NN A52264 1160 59 to to IN A52264 1160 60 Radius radius NN A52264 1160 61 : : : A52264 1160 62 so so RB A52264 1160 63 is be VBZ A52264 1160 64 the the DT A52264 1160 65 tangent tangent NN A52264 1160 66 of of IN A52264 1160 67 DB DB NNP A52264 1160 68 , , , A52264 1160 69 to to IN A52264 1160 70 the the DT A52264 1160 71 tangent tangent NN A52264 1160 72 of of IN A52264 1160 73 the the DT A52264 1160 74 angle angle NN A52264 1160 75 at at IN A52264 1160 76 A. a. NN A52264 1161 1 Therefore therefore RB A52264 1161 2 if if IN A52264 1161 3 you -PRON- PRP A52264 1161 4 put put VBP A52264 1161 5 the the DT A52264 1161 6 third third JJ A52264 1161 7 term term NN A52264 1161 8 in in IN A52264 1161 9 the the DT A52264 1161 10 second second JJ A52264 1161 11 place place NN A52264 1161 12 , , , A52264 1161 13 it -PRON- PRP A52264 1161 14 will will MD A52264 1161 15 be be VB A52264 1161 16 , , , A52264 1161 17 as as IN A52264 1161 18 the the DT A52264 1161 19 sine sine NN A52264 1161 20 of of IN A52264 1161 21 AB AB NNP A52264 1161 22 , , , A52264 1161 23 to to IN A52264 1161 24 the the DT A52264 1161 25 tangent tangent NN A52264 1161 26 of of IN A52264 1161 27 DB DB NNP A52264 1161 28 : : : A52264 1161 29 so so RB A52264 1161 30 is be VBZ A52264 1161 31 the the DT A52264 1161 32 Radius Radius NNP A52264 1161 33 , , , A52264 1161 34 to to IN A52264 1161 35 the the DT A52264 1161 36 tangent tangent NN A52264 1161 37 of of IN A52264 1161 38 the the DT A52264 1161 39 angle angle NN A52264 1161 40 at at IN A52264 1161 41 A. a. NN A52264 1162 1 But but CC A52264 1162 2 Radius Radius NNP A52264 1162 3 is be VBZ A52264 1162 4 a a DT A52264 1162 5 mean mean JJ A52264 1162 6 proportional proportional JJ A52264 1162 7 between between IN A52264 1162 8 the the DT A52264 1162 9 tangent tangent NN A52264 1162 10 of of IN A52264 1162 11 an an DT A52264 1162 12 arch arch NN A52264 1162 13 , , , A52264 1162 14 and and CC A52264 1162 15 the the DT A52264 1162 16 tangent tangent NN A52264 1162 17 of of IN A52264 1162 18 the the DT A52264 1162 19 complement complement NN A52264 1162 20 of of IN A52264 1162 21 the the DT A52264 1162 22 same same JJ A52264 1162 23 arch arch NN A52264 1162 24 , , , A52264 1162 25 by by IN A52264 1162 26 the the DT A52264 1162 27 Corollary Corollary NNP A52264 1162 28 of of IN A52264 1162 29 the the DT A52264 1162 30 first first JJ A52264 1162 31 reason reason NN A52264 1162 32 of of IN A52264 1162 33 the the DT A52264 1162 34 second second JJ A52264 1162 35 Axiome Axiome NNP A52264 1162 36 of of IN A52264 1162 37 plain plain JJ A52264 1162 38 Triangles triangle NNS A52264 1162 39 : : : A52264 1162 40 and and CC A52264 1162 41 therefore therefore RB A52264 1162 42 as as IN A52264 1162 43 Radius Radius NNP A52264 1162 44 , , , A52264 1162 45 is be VBZ A52264 1162 46 to to IN A52264 1162 47 the the DT A52264 1162 48 tangent tangent NN A52264 1162 49 of of IN A52264 1162 50 the the DT A52264 1162 51 angle angle NN A52264 1162 52 at at IN A52264 1162 53 A a NN A52264 1162 54 ; ; : A52264 1162 55 so so RB A52264 1162 56 is be VBZ A52264 1162 57 the the DT A52264 1162 58 tangent tangent JJ A52264 1162 59 complement complement NN A52264 1162 60 of of IN A52264 1162 61 the the DT A52264 1162 62 same same JJ A52264 1162 63 angle angle NN A52264 1162 64 at at IN A52264 1162 65 A a DT A52264 1162 66 unto unto JJ A52264 1162 67 Radius radius NN A52264 1162 68 : : : A52264 1162 69 Therefore therefore RB A52264 1162 70 as as IN A52264 1162 71 the the DT A52264 1162 72 sine sine NN A52264 1162 73 of of IN A52264 1162 74 AB AB NNP A52264 1162 75 is be VBZ A52264 1162 76 in in IN A52264 1162 77 proportion proportion NN A52264 1162 78 to to IN A52264 1162 79 the the DT A52264 1162 80 tangent tangent NN A52264 1162 81 of of IN A52264 1162 82 DB DB NNP A52264 1162 83 ; ; : A52264 1162 84 so so RB A52264 1162 85 is be VBZ A52264 1162 86 the the DT A52264 1162 87 co co JJ A52264 1162 88 - - NN A52264 1162 89 tangent tangent NN A52264 1162 90 of of IN A52264 1162 91 the the DT A52264 1162 92 angle angle NN A52264 1162 93 at at IN A52264 1162 94 A a NN A52264 1162 95 , , , A52264 1162 96 to to IN A52264 1162 97 Radius radius NN A52264 1162 98 : : : A52264 1162 99 and and CC A52264 1162 100 therefore therefore RB A52264 1162 101 the the DT A52264 1162 102 rectangle rectangle NN A52264 1162 103 of of IN A52264 1162 104 AB AB NNP A52264 1162 105 ▪ ▪ NNP A52264 1162 106 Radius Radius NNP A52264 1162 107 , , , A52264 1162 108 is be VBZ A52264 1162 109 equall equall JJ A52264 1162 110 to to IN A52264 1162 111 the the DT A52264 1162 112 rectangle rectangle NN A52264 1162 113 of of IN A52264 1162 114 the the DT A52264 1162 115 tangent tangent NN A52264 1162 116 of of IN A52264 1162 117 DB DB NNP A52264 1162 118 , , , A52264 1162 119 and and CC A52264 1162 120 the the DT A52264 1162 121 co co NN A52264 1162 122 - - NN A52264 1162 123 tangent tangent NN A52264 1162 124 of of IN A52264 1162 125 the the DT A52264 1162 126 angle angle NN A52264 1162 127 at at IN A52264 1162 128 A. a. NN A52264 1163 1 CASE CASE NNP A52264 1163 2 2 2 CD A52264 1163 3 . . . A52264 1164 1 Let let VB A52264 1164 2 the the DT A52264 1164 3 middle middle JJ A52264 1164 4 part part NN A52264 1164 5 be be VB A52264 1164 6 an an DT A52264 1164 7 angle angle NN A52264 1164 8 , , , A52264 1164 9 as as IN A52264 1164 10 in in IN A52264 1164 11 the the DT A52264 1164 12 triangle triangle NN A52264 1164 13 DHL dhl NN A52264 1164 14 of of IN A52264 1164 15 the the DT A52264 1164 16 former former JJ A52264 1164 17 Diagram Diagram NNP A52264 1164 18 , , , A52264 1164 19 and and CC A52264 1164 20 let let VB A52264 1164 21 compl compl NN A52264 1164 22 . . . A52264 1165 1 HLD hld UH A52264 1165 2 be be VB A52264 1165 3 the the DT A52264 1165 4 middle middle JJ A52264 1165 5 part part NN A52264 1165 6 , , , A52264 1165 7 HL HL NNP A52264 1165 8 and and CC A52264 1165 9 compl compl NNP A52264 1165 10 . . . A52264 1166 1 LD LD NNP A52264 1166 2 the the DT A52264 1166 3 extreames extreame NNS A52264 1166 4 conjunct conjunct NN A52264 1166 5 ; ; : A52264 1166 6 then then RB A52264 1166 7 I -PRON- PRP A52264 1166 8 say say VBP A52264 1166 9 , , , A52264 1166 10 that that IN A52264 1166 11 the the DT A52264 1166 12 rectangle rectangle NNP A52264 1166 13 made make VBN A52264 1166 14 of of IN A52264 1166 15 the the DT A52264 1166 16 co co NN A52264 1166 17 - - NN A52264 1166 18 sine sine NN A52264 1166 19 of of IN A52264 1166 20 HLD HLD NNP A52264 1166 21 and and CC A52264 1166 22 Radius Radius NNP A52264 1166 23 , , , A52264 1166 24 is be VBZ A52264 1166 25 equal equal JJ A52264 1166 26 to to IN A52264 1166 27 the the DT A52264 1166 28 rectangle rectangle NN A52264 1166 29 of of IN A52264 1166 30 the the DT A52264 1166 31 tangent tangent NN A52264 1166 32 of of IN A52264 1166 33 HL HL NNP A52264 1166 34 and and CC A52264 1166 35 the the DT A52264 1166 36 co co NN A52264 1166 37 ● ● CD A52264 1166 38 tangent tangent NN A52264 1166 39 of of IN A52264 1166 40 LD LD NNP A52264 1166 41 . . . A52264 1167 1 For for IN A52264 1167 2 ▪ ▪ NN A52264 1167 3 by by IN A52264 1167 4 the the DT A52264 1167 5 third third JJ A52264 1167 6 proposition proposition NN A52264 1167 7 of of IN A52264 1167 8 this this DT A52264 1167 9 Chapter chapter NN A52264 1167 10 , , , A52264 1167 11 compl compl JJ A52264 1167 12 . . . A52264 1168 1 HLD HLD NNP A52264 1168 2 is be VBZ A52264 1168 3 equal equal JJ A52264 1168 4 to to IN A52264 1168 5 AB AB NNP A52264 1168 6 , , , A52264 1168 7 and and CC A52264 1168 8 compl compl JJ A52264 1168 9 . . . A52264 1169 1 LD LD NNP A52264 1169 2 to to IN A52264 1169 3 DB DB NNP A52264 1169 4 , , , A52264 1169 5 and and CC A52264 1169 6 HL HL NNP A52264 1169 7 to to IN A52264 1169 8 compl compl VB A52264 1169 9 . . . A52264 1170 1 DAB DAB NNP A52264 1170 2 ; ; : A52264 1170 3 and and CC A52264 1170 4 here here RB A52264 1170 5 we -PRON- PRP A52264 1170 6 have have VBP A52264 1170 7 proved prove VBN A52264 1170 8 before before RB A52264 1170 9 , , , A52264 1170 10 that that IN A52264 1170 11 the the DT A52264 1170 12 rectangle rectangle NN A52264 1170 13 of of IN A52264 1170 14 the the DT A52264 1170 15 sine sine NN A52264 1170 16 of of IN A52264 1170 17 AB AB NNP A52264 1170 18 and and CC A52264 1170 19 Radius Radius NNP A52264 1170 20 , , , A52264 1170 21 is be VBZ A52264 1170 22 equal equal JJ A52264 1170 23 to to IN A52264 1170 24 the the DT A52264 1170 25 rectangle rectangle NN A52264 1170 26 of of IN A52264 1170 27 the the DT A52264 1170 28 tangent tangent NN A52264 1170 29 of of IN A52264 1170 30 DB DB NNP A52264 1170 31 , , , A52264 1170 32 and and CC A52264 1170 33 the the DT A52264 1170 34 co co NN A52264 1170 35 - - NN A52264 1170 36 tangent tangent NN A52264 1170 37 of of IN A52264 1170 38 the the DT A52264 1170 39 angle angle NN A52264 1170 40 at at IN A52264 1170 41 A a NN A52264 1170 42 ; ; : A52264 1170 43 therefore therefore RB A52264 1170 44 also also RB A52264 1170 45 the the DT A52264 1170 46 rectangle rectangle NN A52264 1170 47 of of IN A52264 1170 48 the the DT A52264 1170 49 co co NN A52264 1170 50 - - NN A52264 1170 51 sine sine NN A52264 1170 52 of of IN A52264 1170 53 HLD HLD NNP A52264 1170 54 and and CC A52264 1170 55 Radius Radius NNP A52264 1170 56 , , , A52264 1170 57 is be VBZ A52264 1170 58 equal equal JJ A52264 1170 59 to to IN A52264 1170 60 the the DT A52264 1170 61 rectangle rectangle NN A52264 1170 62 of of IN A52264 1170 63 the the DT A52264 1170 64 co co JJ A52264 1170 65 - - NN A52264 1170 66 tangent tangent NN A52264 1170 67 of of IN A52264 1170 68 LD LD NNP A52264 1170 69 , , , A52264 1170 70 and and CC A52264 1170 71 the the DT A52264 1170 72 〈 〈 NNP A52264 1170 73 ◊ ◊ NNP A52264 1170 74 〉 〉 NNP A52264 1170 75 tangent tangent NN A52264 1170 76 of of IN A52264 1170 77 HL HL NNP A52264 1170 78 . . . A52264 1171 1 CASE CASE NNP A52264 1171 2 3 3 CD A52264 1171 3 . . . A52264 1172 1 Let let VB A52264 1172 2 the the DT A52264 1172 3 middle middle JJ A52264 1172 4 part part NN A52264 1172 5 be be VB A52264 1172 6 the the DT A52264 1172 7 hypothenusal hypothenusal NN A52264 1172 8 , , , A52264 1172 9 as as IN A52264 1172 10 in in IN A52264 1172 11 the the DT A52264 1172 12 triangle triangle NN A52264 1172 13 GCA GCA NNP A52264 1172 14 , , , A52264 1172 15 let let VB A52264 1172 16 compl compl NN A52264 1172 17 . . . A52264 1173 1 AG AG NNP A52264 1173 2 be be VB A52264 1173 3 the the DT A52264 1173 4 middle middle JJ A52264 1173 5 part part NN A52264 1173 6 , , , A52264 1173 7 compl compl JJ A52264 1173 8 . . . A52264 1174 1 AGC AGC NNP A52264 1174 2 , , , A52264 1174 3 and and CC A52264 1174 4 compl compl JJ A52264 1174 5 . . . A52264 1175 1 CAG CAG NNP A52264 1175 2 the the DT A52264 1175 3 extreams extream NNS A52264 1175 4 conjunct conjunct VBP A52264 1175 5 ; ; : A52264 1175 6 then then RB A52264 1175 7 I -PRON- PRP A52264 1175 8 say say VBP A52264 1175 9 , , , A52264 1175 10 that that IN A52264 1175 11 the the DT A52264 1175 12 rectangle rectangle NN A52264 1175 13 of of IN A52264 1175 14 the the DT A52264 1175 15 co co NN A52264 1175 16 - - NN A52264 1175 17 sine sine NN A52264 1175 18 of of IN A52264 1175 19 ▪ ▪ NNP A52264 1175 20 AG AG NNP A52264 1175 21 and and CC A52264 1175 22 Radius Radius NNP A52264 1175 23 , , , A52264 1175 24 is be VBZ A52264 1175 25 equal equal JJ A52264 1175 26 to to IN A52264 1175 27 the the DT A52264 1175 28 rectangle rectangle NN A52264 1175 29 of of IN A52264 1175 30 the the DT A52264 1175 31 co co JJ A52264 1175 32 - - NN A52264 1175 33 tangent tangent NN A52264 1175 34 of of IN A52264 1175 35 AGC AGC NNP A52264 1175 36 , , , A52264 1175 37 and and CC A52264 1175 38 the the DT A52264 1175 39 co co JJ A52264 1175 40 - - NN A52264 1175 41 tangent tangent NN A52264 1175 42 of of IN A52264 1175 43 CAG CAG NNP A52264 1175 44 : : : A52264 1175 45 for for IN A52264 1175 46 we -PRON- PRP A52264 1175 47 have have VBP A52264 1175 48 proved prove VBN A52264 1175 49 before before RB A52264 1175 50 , , , A52264 1175 51 that that IN A52264 1175 52 the the DT A52264 1175 53 rectangle rectangle NN A52264 1175 54 of of IN A52264 1175 55 the the DT A52264 1175 56 sine sine NN A52264 1175 57 of of IN A52264 1175 58 AB AB NNP A52264 1175 59 and and CC A52264 1175 60 Radius Radius NNP A52264 1175 61 is be VBZ A52264 1175 62 equal equal JJ A52264 1175 63 to to IN A52264 1175 64 the the DT A52264 1175 65 rectangle rectangle NN A52264 1175 66 of of IN A52264 1175 67 the the DT A52264 1175 68 tangent tangent NN A52264 1175 69 of of IN A52264 1175 70 DB DB NNP A52264 1175 71 and and CC A52264 1175 72 the the DT A52264 1175 73 co co NN A52264 1175 74 - - NN A52264 1175 75 tangent tangent NN A52264 1175 76 of of IN A52264 1175 77 DAB DAB NNP A52264 1175 78 , , , A52264 1175 79 but but CC A52264 1175 80 , , , A52264 1175 81 by by IN A52264 1175 82 the the DT A52264 1175 83 third third JJ A52264 1175 84 proposition proposition NN A52264 1175 85 of of IN A52264 1175 86 this this DT A52264 1175 87 Chapter chapter NN A52264 1175 88 , , , A52264 1175 89 compl compl JJ A52264 1175 90 . . . A52264 1176 1 AG AG NNP A52264 1176 2 is be VBZ A52264 1176 3 equal equal JJ A52264 1176 4 to to IN A52264 1176 5 AB AB NNP A52264 1176 6 , , , A52264 1176 7 compl compl NN A52264 1176 8 . . . A52264 1177 1 AGC AGC NNP A52264 1177 2 to to IN A52264 1177 3 DB DB NNP A52264 1177 4 , , , A52264 1177 5 and and CC A52264 1177 6 compl compl NNP A52264 1177 7 . . . A52264 1178 1 CAG CAG NNP A52264 1178 2 to to IN A52264 1178 3 compl compl NN A52264 1178 4 , , , A52264 1178 5 DAB DAB NNP A52264 1178 6 ; ; : A52264 1178 7 therefore therefore RB A52264 1178 8 also also RB A52264 1178 9 the the DT A52264 1178 10 rectangle rectangle NN A52264 1178 11 of of IN A52264 1178 12 the the DT A52264 1178 13 co co NN A52264 1178 14 - - NN A52264 1178 15 sine sine NN A52264 1178 16 of of IN A52264 1178 17 AG AG NNP A52264 1178 18 and and CC A52264 1178 19 Radius Radius NNP A52264 1178 20 , , , A52264 1178 21 is be VBZ A52264 1178 22 equal equal JJ A52264 1178 23 to to IN A52264 1178 24 the the DT A52264 1178 25 rectangle rectangle NN A52264 1178 26 of of IN A52264 1178 27 the the DT A52264 1178 28 co co JJ A52264 1178 29 - - NN A52264 1178 30 tangent tangent NN A52264 1178 31 of of IN A52264 1178 32 AGC AGC NNP A52264 1178 33 and and CC A52264 1178 34 the the DT A52264 1178 35 co co JJ A52264 1178 36 - - NN A52264 1178 37 tangent tangent NN A52264 1178 38 of of IN A52264 1178 39 CAG CAG NNP A52264 1178 40 , , , A52264 1178 41 which which WDT A52264 1178 42 was be VBD A52264 1178 43 to to TO A52264 1178 44 be be VB A52264 1178 45 proved prove VBN A52264 1178 46 . . . A52264 1179 1 It -PRON- PRP A52264 1179 2 is be VBZ A52264 1179 3 further further JJ A52264 1179 4 to to TO A52264 1179 5 be be VB A52264 1179 6 proved prove VBN A52264 1179 7 , , , A52264 1179 8 that that IN A52264 1179 9 the the DT A52264 1179 10 sine sine NN A52264 1179 11 of of IN A52264 1179 12 the the DT A52264 1179 13 middle middle JJ A52264 1179 14 part part NN A52264 1179 15 and and CC A52264 1179 16 Radius Radius NNP A52264 1179 17 are be VBP A52264 1179 18 proportional proportional JJ A52264 1179 19 with with IN A52264 1179 20 the the DT A52264 1179 21 co co NNS A52264 1179 22 - - NNS A52264 1179 23 sines sine NNS A52264 1179 24 of of IN A52264 1179 25 the the DT A52264 1179 26 extreams extream NNS A52264 1179 27 dis dis NNP A52264 1179 28 - - HYPH A52264 1179 29 junct junct NNP A52264 1179 30 . . . A52264 1180 1 Here here RB A52264 1180 2 also also RB A52264 1180 3 the the DT A52264 1180 4 middle middle JJ A52264 1180 5 part part NN A52264 1180 6 is be VBZ A52264 1180 7 either either CC A52264 1180 8 one one CD A52264 1180 9 of of IN A52264 1180 10 the the DT A52264 1180 11 sides side NNS A52264 1180 12 , , , A52264 1180 13 or or CC A52264 1180 14 the the DT A52264 1180 15 hypothenusal hypothenusal NN A52264 1180 16 , , , A52264 1180 17 or or CC A52264 1180 18 one one CD A52264 1180 19 of of IN A52264 1180 20 the the DT A52264 1180 21 oblique oblique JJ A52264 1180 22 angles angle NNS A52264 1180 23 . . . A52264 1181 1 CASE CASE NNP A52264 1181 2 1 1 CD A52264 1181 3 . . . A52264 1182 1 Let let VB A52264 1182 2 the the DT A52264 1182 3 middle middle JJ A52264 1182 4 part part NN A52264 1182 5 be be VB A52264 1182 6 a a DT A52264 1182 7 side side NN A52264 1182 8 : : : A52264 1182 9 as as IN A52264 1182 10 in in IN A52264 1182 11 the the DT A52264 1182 12 triangle triangle NN A52264 1182 13 ABD ABD NNP A52264 1182 14 , , , A52264 1182 15 let let VB A52264 1182 16 DB DB NNP A52264 1182 17 be be VB A52264 1182 18 the the DT A52264 1182 19 middle middle JJ A52264 1182 20 part part NN A52264 1182 21 , , , A52264 1182 22 compl compl JJ A52264 1182 23 . . . A52264 1183 1 AD ad NN A52264 1183 2 and and CC A52264 1183 3 compl compl NN A52264 1183 4 . . . A52264 1184 1 A a DT A52264 1184 2 the the DT A52264 1184 3 opposite opposite JJ A52264 1184 4 extreams extream NNS A52264 1184 5 : : : A52264 1184 6 then then RB A52264 1184 7 I -PRON- PRP A52264 1184 8 say say VBP A52264 1184 9 , , , A52264 1184 10 that that IN A52264 1184 11 the the DT A52264 1184 12 rectangle rectangle NN A52264 1184 13 of of IN A52264 1184 14 the the DT A52264 1184 15 sine sine NN A52264 1184 16 of of IN A52264 1184 17 BD BD NNP A52264 1184 18 and and CC A52264 1184 19 Radius Radius NNP A52264 1184 20 is be VBZ A52264 1184 21 equal equal JJ A52264 1184 22 to to IN A52264 1184 23 the the DT A52264 1184 24 rectangle rectangle NN A52264 1184 25 of of IN A52264 1184 26 the the DT A52264 1184 27 sine sine NN A52264 1184 28 of of IN A52264 1184 29 AD ad NN A52264 1184 30 , , , A52264 1184 31 and and CC A52264 1184 32 the the DT A52264 1184 33 sine sine NN A52264 1184 34 of of IN A52264 1184 35 the the DT A52264 1184 36 angle angle NN A52264 1184 37 at at IN A52264 1184 38 A a NN A52264 1184 39 ; ; : A52264 1184 40 for for IN A52264 1184 41 , , , A52264 1184 42 by by IN A52264 1184 43 the the DT A52264 1184 44 first first JJ A52264 1184 45 proposition proposition NN A52264 1184 46 of of IN A52264 1184 47 this this DT A52264 1184 48 Chapter chapter NN A52264 1184 49 , , , A52264 1184 50 as as IN A52264 1184 51 the the DT A52264 1184 52 sine sine NN A52264 1184 53 of of IN A52264 1184 54 AD ad NN A52264 1184 55 , , , A52264 1184 56 is be VBZ A52264 1184 57 to to IN A52264 1184 58 Radius Radius NNP A52264 1184 59 ; ; : A52264 1184 60 so so RB A52264 1184 61 is be VBZ A52264 1184 62 the the DT A52264 1184 63 sine sine NN A52264 1184 64 of of IN A52264 1184 65 DB DB NNP A52264 1184 66 , , , A52264 1184 67 to to IN A52264 1184 68 the the DT A52264 1184 69 sine sine NN A52264 1184 70 of of IN A52264 1184 71 the the DT A52264 1184 72 angle angle NN A52264 1184 73 at at IN A52264 1184 74 A. a. NN A52264 1185 1 Therefore therefore RB A52264 1185 2 , , , A52264 1185 3 the the DT A52264 1185 4 rectangle rectangle NN A52264 1185 5 of of IN A52264 1185 6 the the DT A52264 1185 7 sine sine NN A52264 1185 8 of of IN A52264 1185 9 DB DB NNP A52264 1185 10 and and CC A52264 1185 11 Radius Radius NNP A52264 1185 12 , , , A52264 1185 13 is be VBZ A52264 1185 14 equal equal JJ A52264 1185 15 to to IN A52264 1185 16 the the DT A52264 1185 17 rectangle rectangle NN A52264 1185 18 of of IN A52264 1185 19 the the DT A52264 1185 20 sine sine NN A52264 1185 21 of of IN A52264 1185 22 AD ad NN A52264 1185 23 and and CC A52264 1185 24 the the DT A52264 1185 25 sine sine NN A52264 1185 26 of of IN A52264 1185 27 the the DT A52264 1185 28 angle angle NN A52264 1185 29 at at IN A52264 1185 30 A. a. NN A52264 1186 1 CASE CASE NNP A52264 1186 2 2 2 CD A52264 1186 3 . . . A52264 1187 1 Let let VB A52264 1187 2 the the DT A52264 1187 3 hypothenusal hypothenusal NN A52264 1187 4 be be VB A52264 1187 5 the the DT A52264 1187 6 middle middle JJ A52264 1187 7 part part NN A52264 1187 8 ; ; : A52264 1187 9 as as IN A52264 1187 10 in in IN A52264 1187 11 the the DT A52264 1187 12 triangle triangle NN A52264 1187 13 DHL DHL NNP A52264 1187 14 , , , A52264 1187 15 let let VB A52264 1187 16 compl compl NN A52264 1187 17 . . . A52264 1188 1 LD LD NNP A52264 1188 2 be be VB A52264 1188 3 the the DT A52264 1188 4 middle middle JJ A52264 1188 5 part part NN A52264 1188 6 , , , A52264 1188 7 DH DH NNP A52264 1188 8 and and CC A52264 1188 9 HL HL NNP A52264 1188 10 the the DT A52264 1188 11 extreams extream NNS A52264 1188 12 dis dis NN A52264 1188 13 - - HYPH A52264 1188 14 junct junct NNP A52264 1188 15 . . . A52264 1189 1 Then then RB A52264 1189 2 I -PRON- PRP A52264 1189 3 say say VBP A52264 1189 4 , , , A52264 1189 5 that that IN A52264 1189 6 the the DT A52264 1189 7 rectangle rectangle NN A52264 1189 8 of of IN A52264 1189 9 the the DT A52264 1189 10 co co NN A52264 1189 11 - - NN A52264 1189 12 sine sine NN A52264 1189 13 of of IN A52264 1189 14 LD LD NNP A52264 1189 15 and and CC A52264 1189 16 Radius Radius NNP A52264 1189 17 is be VBZ A52264 1189 18 equal equal JJ A52264 1189 19 to to IN A52264 1189 20 the the DT A52264 1189 21 rectangle rectangle NN A52264 1189 22 of of IN A52264 1189 23 the the DT A52264 1189 24 co co NN A52264 1189 25 - - NN A52264 1189 26 sine sine NN A52264 1189 27 of of IN A52264 1189 28 DH DH NNP A52264 1189 29 and and CC A52264 1189 30 the the DT A52264 1189 31 co co NN A52264 1189 32 - - NN A52264 1189 33 sine sine NN A52264 1189 34 of of IN A52264 1189 35 HL HL NNP A52264 1189 36 : : : A52264 1189 37 for for IN A52264 1189 38 compl compl NNP A52264 1189 39 . . . A52264 1190 1 LD LD NNP A52264 1190 2 is be VBZ A52264 1190 3 equal equal JJ A52264 1190 4 to to IN A52264 1190 5 DB DB NNP A52264 1190 6 , , , A52264 1190 7 and and CC A52264 1190 8 DH DH NNP A52264 1190 9 is be VBZ A52264 1190 10 equall equall JJ A52264 1190 11 to to IN A52264 1190 12 compl compl JJ A52264 1190 13 . . . A52264 1191 1 AD ad NN A52264 1191 2 , , , A52264 1191 3 and and CC A52264 1191 4 HL HL NNP A52264 1191 5 to to IN A52264 1191 6 compl compl VB A52264 1191 7 . . . A52264 1192 1 DAB DAB NNP A52264 1192 2 , , , A52264 1192 3 by by IN A52264 1192 4 the the DT A52264 1192 5 third third JJ A52264 1192 6 proposition proposition NN A52264 1192 7 of of IN A52264 1192 8 this this DT A52264 1192 9 Chapter chapter NN A52264 1192 10 : : : A52264 1192 11 therefore therefore RB A52264 1192 12 the the DT A52264 1192 13 rectangle rectangle NN A52264 1192 14 of of IN A52264 1192 15 the the DT A52264 1192 16 co co NN A52264 1192 17 - - NN A52264 1192 18 sine sine NN A52264 1192 19 of of IN A52264 1192 20 LD LD NNP A52264 1192 21 and and CC A52264 1192 22 Radius Radius NNP A52264 1192 23 , , , A52264 1192 24 is be VBZ A52264 1192 25 equal equal JJ A52264 1192 26 to to IN A52264 1192 27 the the DT A52264 1192 28 rectangle rectangle NN A52264 1192 29 of of IN A52264 1192 30 the the DT A52264 1192 31 co co NN A52264 1192 32 - - NN A52264 1192 33 sine sine NN A52264 1192 34 of of IN A52264 1192 35 DH DH NNP A52264 1192 36 and and CC A52264 1192 37 the the DT A52264 1192 38 co co NN A52264 1192 39 - - NN A52264 1192 40 sine sine NN A52264 1192 41 of of IN A52264 1192 42 HL HL NNP A52264 1192 43 . . . A52264 1193 1 CASE CASE NNP A52264 1193 2 3 3 CD A52264 1193 3 . . . A52264 1194 1 Let let VB A52264 1194 2 one one CD A52264 1194 3 of of IN A52264 1194 4 the the DT A52264 1194 5 oblique oblique JJ A52264 1194 6 angles angle NNS A52264 1194 7 be be VB A52264 1194 8 the the DT A52264 1194 9 middle middle JJ A52264 1194 10 part part NN A52264 1194 11 , , , A52264 1194 12 as as IN A52264 1194 13 in in IN A52264 1194 14 the the DT A52264 1194 15 triangle triangle NN A52264 1194 16 IEG IEG NNP A52264 1194 17 , , , A52264 1194 18 let let VBD A52264 1194 19 compl compl NN A52264 1194 20 . . . A52264 1195 1 IGE IGE NNP A52264 1195 2 be be VBP A52264 1195 3 the the DT A52264 1195 4 middle middle JJ A52264 1195 5 part part NN A52264 1195 6 : : : A52264 1195 7 then then RB A52264 1195 8 I -PRON- PRP A52264 1195 9 say say VBP A52264 1195 10 , , , A52264 1195 11 that that IN A52264 1195 12 the the DT A52264 1195 13 rectangle rectangle NN A52264 1195 14 of of IN A52264 1195 15 the the DT A52264 1195 16 co co NN A52264 1195 17 - - NN A52264 1195 18 sine sine NN A52264 1195 19 of of IN A52264 1195 20 IGE IGE NNP A52264 1195 21 and and CC A52264 1195 22 Radius Radius NNP A52264 1195 23 is be VBZ A52264 1195 24 equal equal JJ A52264 1195 25 to to IN A52264 1195 26 the the DT A52264 1195 27 rectangle rectangle NN A52264 1195 28 of of IN A52264 1195 29 the the DT A52264 1195 30 sine sine NN A52264 1195 31 of of IN A52264 1195 32 GEI GEI NNP A52264 1195 33 and and CC A52264 1195 34 the the DT A52264 1195 35 co co NN A52264 1195 36 - - NN A52264 1195 37 sine sine NN A52264 1195 38 of of IN A52264 1195 39 IE IE NNP A52264 1195 40 : : : A52264 1195 41 for for IN A52264 1195 42 compl compl NN A52264 1195 43 . . . A52264 1196 1 IGE IGE NNP A52264 1196 2 is be VBZ A52264 1196 3 equall equall JJ A52264 1196 4 to to IN A52264 1196 5 DB DB NNP A52264 1196 6 , , , A52264 1196 7 and and CC A52264 1196 8 GEI GEI NNP A52264 1196 9 is be VBZ A52264 1196 10 equal equal JJ A52264 1196 11 to to IN A52264 1196 12 AD ad NN A52264 1196 13 , , , A52264 1196 14 and and CC A52264 1196 15 EI EI NNP A52264 1196 16 to to TO A52264 1196 17 compl compl VB A52264 1196 18 . . . A52264 1197 1 DAB DAB NNP A52264 1197 2 . . . A52264 1198 1 5 5 CD A52264 1198 2 . . . A52264 1199 1 In in IN A52264 1199 2 any any DT A52264 1199 3 Spherical spherical JJ A52264 1199 4 triangle triangle NN A52264 1199 5 , , , A52264 1199 6 the the DT A52264 1199 7 sines sine NNS A52264 1199 8 of of IN A52264 1199 9 the the DT A52264 1199 10 sides side NNS A52264 1199 11 are be VBP A52264 1199 12 proportional proportional JJ A52264 1199 13 to to IN A52264 1199 14 the the DT A52264 1199 15 sines sine NNS A52264 1199 16 of of IN A52264 1199 17 their -PRON- PRP$ A52264 1199 18 opposite opposite JJ A52264 1199 19 angles angle NNS A52264 1199 20 . . . A52264 1200 1 Let let VB A52264 1200 2 ABC ABC NNP A52264 1200 3 be be VB A52264 1200 4 a a DT A52264 1200 5 spherical spherical JJ A52264 1200 6 triangle triangle NN A52264 1200 7 , , , A52264 1200 8 right right RB A52264 1200 9 angled angle VBD A52264 1200 10 at at IN A52264 1200 11 C C NNP A52264 1200 12 , , , A52264 1200 13 then then RB A52264 1200 14 let let VB A52264 1200 15 the the DT A52264 1200 16 sides side NNS A52264 1200 17 AB AB NNP A52264 1200 18 , , , A52264 1200 19 AC AC NNP A52264 1200 20 , , , A52264 1200 21 and and CC A52264 1200 22 CB CB NNP A52264 1200 23 be be VB A52264 1200 24 continued continue VBN A52264 1200 25 to to TO A52264 1200 26 make make VB A52264 1200 27 the the DT A52264 1200 28 quadrants quadrant NNS A52264 1200 29 AE AE NNP A52264 1200 30 , , , A52264 1200 31 AF AF NNP A52264 1200 32 , , , A52264 1200 33 and and CC A52264 1200 34 CD cd NN A52264 1200 35 , , , A52264 1200 36 and and CC A52264 1200 37 from from IN A52264 1200 38 the the DT A52264 1200 39 pole pole NN A52264 1200 40 of of IN A52264 1200 41 the the DT A52264 1200 42 quadrant quadrant JJ A52264 1200 43 AF AF NNP A52264 1200 44 , , , A52264 1200 45 to to IN A52264 1200 46 wit wit NN A52264 1200 47 , , , A52264 1200 48 from from IN A52264 1200 49 the the DT A52264 1200 50 point point NN A52264 1200 51 D d NN A52264 1200 52 , , , A52264 1200 53 let let VB A52264 1200 54 be be VB A52264 1200 55 drawn draw VBN A52264 1200 56 down down RP A52264 1200 57 the the DT A52264 1200 58 other other JJ A52264 1200 59 quadrants quadrant NNS A52264 1200 60 DF DF NNP A52264 1200 61 and and CC A52264 1200 62 DH DH NNP A52264 1200 63 ; ; : A52264 1200 64 so so CC A52264 1200 65 there there EX A52264 1200 66 is be VBZ A52264 1200 67 made make VBN A52264 1200 68 three three CD A52264 1200 69 new new JJ A52264 1200 70 triangles triangle NNS A52264 1200 71 BDE BDE NNP A52264 1200 72 , , , A52264 1200 73 GDE GDE NNP A52264 1200 74 , , , A52264 1200 75 and and CC A52264 1200 76 the the DT A52264 1200 77 obliquangled obliquangled JJ A52264 1200 78 triangle triangle NN A52264 1200 79 BDG BDG NNP A52264 1200 80 . . . A52264 1201 1 I -PRON- PRP A52264 1201 2 say say VBP A52264 1201 3 , , , A52264 1201 4 in in IN A52264 1201 5 the the DT A52264 1201 6 right right NN A52264 1201 7 angled angle VBN A52264 1201 8 triangle triangle NN A52264 1201 9 ABC ABC NNP A52264 1201 10 , , , A52264 1201 11 that that IN A52264 1201 12 the the DT A52264 1201 13 sine sine NN A52264 1201 14 of of IN A52264 1201 15 the the DT A52264 1201 16 side side NN A52264 1201 17 AB AB NNP A52264 1201 18 is be VBZ A52264 1201 19 in in IN A52264 1201 20 proportion proportion NN A52264 1201 21 to to IN A52264 1201 22 the the DT A52264 1201 23 sine sine NN A52264 1201 24 of of IN A52264 1201 25 his -PRON- PRP$ A52264 1201 26 opposite opposite JJ A52264 1201 27 angle angle NN A52264 1201 28 ACB ACB NNP A52264 1201 29 : : : A52264 1201 30 as as IN A52264 1201 31 the the DT A52264 1201 32 sine sine NN A52264 1201 33 of of IN A52264 1201 34 the the DT A52264 1201 35 side side NN A52264 1201 36 AC AC NNP A52264 1201 37 , , , A52264 1201 38 is be VBZ A52264 1201 39 to to IN A52264 1201 40 his -PRON- PRP$ A52264 1201 41 opposite opposite JJ A52264 1201 42 angle angle NN A52264 1201 43 ABC ABC NNP A52264 1201 44 ; ; : A52264 1201 45 or or CC A52264 1201 46 as as IN A52264 1201 47 BC BC NNP A52264 1201 48 , , , A52264 1201 49 to to IN A52264 1201 50 BAC BAC NNP A52264 1201 51 : : : A52264 1201 52 likewise likewise RB A52264 1201 53 in in IN A52264 1201 54 the the DT A52264 1201 55 obliquangled obliquangled JJ A52264 1201 56 spherical spherical JJ A52264 1201 57 triangle triangle NN A52264 1201 58 BDG BDG NNP A52264 1201 59 , , , A52264 1201 60 I -PRON- PRP A52264 1201 61 say say VBP A52264 1201 62 , , , A52264 1201 63 that that IN A52264 1201 64 as as IN A52264 1201 65 BG BG NNP A52264 1201 66 , , , A52264 1201 67 is be VBZ A52264 1201 68 to to IN A52264 1201 69 BDG BDG NNP A52264 1201 70 : : : A52264 1201 71 so so RB A52264 1201 72 is be VBZ A52264 1201 73 BD BD NNP A52264 1201 74 , , , A52264 1201 75 to to IN A52264 1201 76 BGD BGD NNP A52264 1201 77 ; ; : A52264 1201 78 or or CC A52264 1201 79 so so RB A52264 1201 80 is be VBZ A52264 1201 81 DG DG NNP A52264 1201 82 , , , A52264 1201 83 to to IN A52264 1201 84 DBG DBG NNP A52264 1201 85 . . . A52264 1202 1 For for IN A52264 1202 2 first first RB A52264 1202 3 , , , A52264 1202 4 in in IN A52264 1202 5 the the DT A52264 1202 6 right right NN A52264 1202 7 angled angle VBN A52264 1202 8 triangle triangle NN A52264 1202 9 ABC ABC NNP A52264 1202 10 , , , A52264 1202 11 the the DT A52264 1202 12 angle angle NN A52264 1202 13 ACB ACB NNP A52264 1202 14 and and CC A52264 1202 15 the the DT A52264 1202 16 arch arch JJ A52264 1202 17 AE ae NN A52264 1202 18 are be VBP A52264 1202 19 of of IN A52264 1202 20 the the DT A52264 1202 21 same same JJ A52264 1202 22 quantity quantity NN A52264 1202 23 , , , A52264 1202 24 to to IN A52264 1202 25 wit wit NN A52264 1202 26 , , , A52264 1202 27 quadrants quadrant NNS A52264 1202 28 , , , A52264 1202 29 so so RB A52264 1202 30 likewise likewise RB A52264 1202 31 the the DT A52264 1202 32 angle angle NN A52264 1202 33 BAC BAC NNP A52264 1202 34 and and CC A52264 1202 35 the the DT A52264 1202 36 arch arch JJ A52264 1202 37 EF EF NNP A52264 1202 38 are be VBP A52264 1202 39 of of IN A52264 1202 40 the the DT A52264 1202 41 same same JJ A52264 1202 42 quantity quantity NN A52264 1202 43 , , , A52264 1202 44 it -PRON- PRP A52264 1202 45 being be VBG A52264 1202 46 the the DT A52264 1202 47 measure measure NN A52264 1202 48 of of IN A52264 1202 49 the the DT A52264 1202 50 said said NNP A52264 1202 51 angle angle NN A52264 1202 52 . . . A52264 1203 1 Now now RB A52264 1203 2 then then RB A52264 1203 3 as as IN A52264 1203 4 AB AB NNP A52264 1203 5 , , , A52264 1203 6 to to IN A52264 1203 7 AE AE NNP A52264 1203 8 ; ; : A52264 1203 9 so so RB A52264 1203 10 is be VBZ A52264 1203 11 BC BC NNP A52264 1203 12 , , , A52264 1203 13 to to IN A52264 1203 14 EF EF NNP A52264 1203 15 , , , A52264 1203 16 by by IN A52264 1203 17 the the DT A52264 1203 18 first first JJ A52264 1203 19 proposition proposition NN A52264 1203 20 of of IN A52264 1203 21 this this DT A52264 1203 22 Chapter chapter NN A52264 1203 23 : : : A52264 1203 24 therefore therefore RB A52264 1203 25 also also RB A52264 1203 26 as as IN A52264 1203 27 AB AB NNP A52264 1203 28 , , , A52264 1203 29 to to IN A52264 1203 30 ACB ACB NNP A52264 1203 31 ; ; : A52264 1203 32 so so RB A52264 1203 33 is be VBZ A52264 1203 34 BC BC NNP A52264 1203 35 , , , A52264 1203 36 to to IN A52264 1203 37 BAC BAC NNP A52264 1203 38 . . . A52264 1204 1 Then then RB A52264 1204 2 in in IN A52264 1204 3 the the DT A52264 1204 4 obliquangled obliquangled JJ A52264 1204 5 Triangle Triangle NNP A52264 1204 6 BDG BDG NNP A52264 1204 7 , , , A52264 1204 8 because because IN A52264 1204 9 , , , A52264 1204 10 by by IN A52264 1204 11 the the DT A52264 1204 12 demonstration demonstration NN A52264 1204 13 of of IN A52264 1204 14 right right JJ A52264 1204 15 angled angled JJ A52264 1204 16 triangles triangle NNS A52264 1204 17 , , , A52264 1204 18 they -PRON- PRP A52264 1204 19 are be VBP A52264 1204 20 as as IN A52264 1204 21 DB DB NNP A52264 1204 22 , , , A52264 1204 23 to to IN A52264 1204 24 DEB DEB NNP A52264 1204 25 ; ; : A52264 1204 26 so so RB A52264 1204 27 is be VBZ A52264 1204 28 DE de NN A52264 1204 29 , , , A52264 1204 30 to to IN A52264 1204 31 DBE DBE NNP A52264 1204 32 : : : A52264 1204 33 and and CC A52264 1204 34 as as IN A52264 1204 35 DG DG NNP A52264 1204 36 , , , A52264 1204 37 to to IN A52264 1204 38 DEG DEG NNP A52264 1204 39 ▪ ▪ NNP A52264 1204 40 so so RB A52264 1204 41 is be VBZ A52264 1204 42 DE DE NNP A52264 1204 43 , , , A52264 1204 44 to to IN A52264 1204 45 DGE DGE NNP A52264 1204 46 , , , A52264 1204 47 or or CC A52264 1204 48 to to IN A52264 1204 49 DGB DGB NNP A52264 1204 50 . . . A52264 1205 1 Therefore therefore RB A52264 1205 2 changing change VBG A52264 1205 3 of of IN A52264 1205 4 the the DT A52264 1205 5 proportional proportional JJ A52264 1205 6 termes terme NNS A52264 1205 7 , , , A52264 1205 8 it -PRON- PRP A52264 1205 9 shall shall MD A52264 1205 10 be be VB A52264 1205 11 , , , A52264 1205 12 as as IN A52264 1205 13 DG DG NNP A52264 1205 14 , , , A52264 1205 15 to to IN A52264 1205 16 DB DB NNP A52264 1205 17 : : : A52264 1205 18 so so RB A52264 1205 19 is be VBZ A52264 1205 20 DBE DBE NNP A52264 1205 21 , , , A52264 1205 22 or or CC A52264 1205 23 DBG DBG NNP A52264 1205 24 , , , A52264 1205 25 to to IN A52264 1205 26 DGB DGB NNP A52264 1205 27 , , , A52264 1205 28 which which WDT A52264 1205 29 was be VBD A52264 1205 30 to to TO A52264 1205 31 be be VB A52264 1205 32 demonstrated demonstrate VBN A52264 1205 33 . . . A52264 1206 1 These these DT A52264 1206 2 foundations foundation NNS A52264 1206 3 being be VBG A52264 1206 4 thus thus RB A52264 1206 5 laid lay VBN A52264 1206 6 , , , A52264 1206 7 the the DT A52264 1206 8 businesse businesse NN A52264 1206 9 of of IN A52264 1206 10 right right JJ A52264 1206 11 angled angle VBN A52264 1206 12 spherical spherical JJ A52264 1206 13 triangles triangle NNS A52264 1206 14 is be VBZ A52264 1206 15 easily easily RB A52264 1206 16 dispatcht dispatcht NN A52264 1206 17 . . . A52264 1207 1 And and CC A52264 1207 2 the the DT A52264 1207 3 proportions proportion NNS A52264 1207 4 to to TO A52264 1207 5 be be VB A52264 1207 6 used use VBN A52264 1207 7 in in IN A52264 1207 8 every every DT A52264 1207 9 case case NN A52264 1207 10 may may MD A52264 1207 11 be be VB A52264 1207 12 discovered discover VBN A52264 1207 13 either either CC A52264 1207 14 by by IN A52264 1207 15 the the DT A52264 1207 16 first first JJ A52264 1207 17 , , , A52264 1207 18 second second JJ A52264 1207 19 and and CC A52264 1207 20 fift fift JJ A52264 1207 21 propositions proposition NNS A52264 1207 22 ; ; : A52264 1207 23 or or CC A52264 1207 24 by by IN A52264 1207 25 the the DT A52264 1207 26 fourth fourth JJ A52264 1207 27 proposition proposition NN A52264 1207 28 only only RB A52264 1207 29 . . . A52264 1208 1 The the DT A52264 1208 2 severall severall NN A52264 1208 3 cases case NNS A52264 1208 4 in in IN A52264 1208 5 a a DT A52264 1208 6 right right JJ A52264 1208 7 angled angle VBN A52264 1208 8 sphericall sphericall NN A52264 1208 9 triangle triangle NN A52264 1208 10 are be VBP A52264 1208 11 sixteen sixteen VBN A52264 1208 12 in in IN A52264 1208 13 number number NN A52264 1208 14 , , , A52264 1208 15 whereof whereof IN A52264 1208 16 six six CD A52264 1208 17 may may MD A52264 1208 18 be be VB A52264 1208 19 resolved resolve VBN A52264 1208 20 by by IN A52264 1208 21 the the DT A52264 1208 22 first first JJ A52264 1208 23 proposition proposition NN A52264 1208 24 : : : A52264 1208 25 seven seven CD A52264 1208 26 by by IN A52264 1208 27 the the DT A52264 1208 28 second second JJ A52264 1208 29 , , , A52264 1208 30 and and CC A52264 1208 31 three three CD A52264 1208 32 by by IN A52264 1208 33 the the DT A52264 1208 34 fift fift NN A52264 1208 35 ; ; : A52264 1208 36 an an DT A52264 1208 37 example example NN A52264 1208 38 in in IN A52264 1208 39 each each DT A52264 1208 40 will will MD A52264 1208 41 suffice suffice VB A52264 1208 42 . . . A52264 1209 1 In in IN A52264 1209 2 the the DT A52264 1209 3 triangle triangle NN A52264 1209 4 ABC ABC NNP A52264 1209 5 , , , A52264 1209 6 let let VB A52264 1209 7 there there EX A52264 1209 8 be be VB A52264 1209 9 given give VBN A52264 1209 10 the the DT A52264 1209 11 hypothenusal hypothenusal NN A52264 1209 12 AB AB NNP A52264 1209 13 , , , A52264 1209 14 and and CC A52264 1209 15 the the DT A52264 1209 16 perpendicular perpendicular JJ A52264 1209 17 BC BC NNP A52264 1209 18 , , , A52264 1209 19 to to TO A52264 1209 20 finde finde VB A52264 1209 21 the the DT A52264 1209 22 base base NN A52264 1209 23 AC AC NNP A52264 1209 24 ; ; : A52264 1209 25 then then RB A52264 1209 26 by by IN A52264 1209 27 the the DT A52264 1209 28 first first JJ A52264 1209 29 proposition proposition NN A52264 1209 30 , , , A52264 1209 31 the the DT A52264 1209 32 Analogie Analogie NNP A52264 1209 33 is be VBZ A52264 1209 34 , , , A52264 1209 35 As as IN A52264 1209 36 the the DT A52264 1209 37 co co NN A52264 1209 38 - - NN A52264 1209 39 sine sine NN A52264 1209 40 of of IN A52264 1209 41 the the DT A52264 1209 42 perpendicular perpendicular NN A52264 1209 43 , , , A52264 1209 44 is be VBZ A52264 1209 45 to to IN A52264 1209 46 Radius radius NN A52264 1209 47 : : : A52264 1209 48 so so RB A52264 1209 49 is be VBZ A52264 1209 50 the the DT A52264 1209 51 co co JJ A52264 1209 52 - - NN A52264 1209 53 sine sine NN A52264 1209 54 of of IN A52264 1209 55 the the DT A52264 1209 56 hypothenusal hypothenusal NN A52264 1209 57 , , , A52264 1209 58 to to IN A52264 1209 59 the the DT A52264 1209 60 co co NN A52264 1209 61 - - NN A52264 1209 62 sine sine NN A52264 1209 63 of of IN A52264 1209 64 the the DT A52264 1209 65 base base NN A52264 1209 66 . . . A52264 1210 1 2 2 LS A52264 1210 2 . . . A52264 1211 1 Let let VB A52264 1211 2 there there EX A52264 1211 3 be be VB A52264 1211 4 given give VBN A52264 1211 5 the the DT A52264 1211 6 base base NN A52264 1211 7 AC AC NNP A52264 1211 8 , , , A52264 1211 9 and and CC A52264 1211 10 the the DT A52264 1211 11 angle angle NN A52264 1211 12 at at IN A52264 1211 13 the the DT A52264 1211 14 base base NN A52264 1211 15 BAC BAC NNP A52264 1211 16 , , , A52264 1211 17 to to TO A52264 1211 18 finde finde NNP A52264 1211 19 the the DT A52264 1211 20 perpendicular perpendicular JJ A52264 1211 21 BC BC NNP A52264 1211 22 , , , A52264 1211 23 by by IN A52264 1211 24 the the DT A52264 1211 25 second second JJ A52264 1211 26 proposition proposition NN A52264 1211 27 , , , A52264 1211 28 the the DT A52264 1211 29 analogie analogie NN A52264 1211 30 is be VBZ A52264 1211 31 : : : A52264 1211 32 As as IN A52264 1211 33 Radius Radius NNP A52264 1211 34 , , , A52264 1211 35 to to IN A52264 1211 36 the the DT A52264 1211 37 sine sine NN A52264 1211 38 of of IN A52264 1211 39 the the DT A52264 1211 40 base base NN A52264 1211 41 ; ; : A52264 1211 42 so so RB A52264 1211 43 is be VBZ A52264 1211 44 the the DT A52264 1211 45 tangent tangent NN A52264 1211 46 of of IN A52264 1211 47 the the DT A52264 1211 48 angle angle NN A52264 1211 49 at at IN A52264 1211 50 the the DT A52264 1211 51 base base NN A52264 1211 52 , , , A52264 1211 53 to to IN A52264 1211 54 the the DT A52264 1211 55 tangent tangent NN A52264 1211 56 of of IN A52264 1211 57 the the DT A52264 1211 58 perpendicular perpendicular NN A52264 1211 59 . . . A52264 1212 1 3 3 LS A52264 1212 2 . . . A52264 1213 1 Let let VB A52264 1213 2 there there EX A52264 1213 3 be be VB A52264 1213 4 given give VBN A52264 1213 5 the the DT A52264 1213 6 hypothenusal hypothenusal NN A52264 1213 7 AB AB NNP A52264 1213 8 , , , A52264 1213 9 the the DT A52264 1213 10 angle angle NN A52264 1213 11 at at IN A52264 1213 12 the the DT A52264 1213 13 base base NN A52264 1213 14 BAC BAC NNP A52264 1213 15 , , , A52264 1213 16 to to TO A52264 1213 17 finde finde NNP A52264 1213 18 the the DT A52264 1213 19 perpendicular perpendicular JJ A52264 1213 20 BC BC NNP A52264 1213 21 , , , A52264 1213 22 by by IN A52264 1213 23 the the DT A52264 1213 24 fifth fifth JJ A52264 1213 25 proposition proposition NN A52264 1213 26 , , , A52264 1213 27 the the DT A52264 1213 28 analogie analogie NN A52264 1213 29 is be VBZ A52264 1213 30 : : : A52264 1213 31 As as IN A52264 1213 32 Radius Radius NNP A52264 1213 33 , , , A52264 1213 34 to to IN A52264 1213 35 the the DT A52264 1213 36 sine sine NN A52264 1213 37 of of IN A52264 1213 38 the the DT A52264 1213 39 hypothenusal hypothenusal NN A52264 1213 40 : : : A52264 1213 41 so so RB A52264 1213 42 is be VBZ A52264 1213 43 the the DT A52264 1213 44 sine sine NN A52264 1213 45 of of IN A52264 1213 46 the the DT A52264 1213 47 angle angle NN A52264 1213 48 at at IN A52264 1213 49 the the DT A52264 1213 50 base base NN A52264 1213 51 , , , A52264 1213 52 to to IN A52264 1213 53 the the DT A52264 1213 54 sine sine NN A52264 1213 55 of of IN A52264 1213 56 the the DT A52264 1213 57 perpendicular perpendicular NN A52264 1213 58 : : : A52264 1213 59 and and CC A52264 1213 60 so so RB A52264 1213 61 of of IN A52264 1213 62 the the DT A52264 1213 63 rest rest NN A52264 1213 64 . . . A52264 1214 1 By by IN A52264 1214 2 the the DT A52264 1214 3 fourth fourth JJ A52264 1214 4 or or CC A52264 1214 5 universall universall JJ A52264 1214 6 Proposition Proposition NNP A52264 1214 7 , , , A52264 1214 8 the the DT A52264 1214 9 proportions proportion NNS A52264 1214 10 for for IN A52264 1214 11 right right RB A52264 1214 12 angled angle VBN A52264 1214 13 sphericall sphericall NN A52264 1214 14 triangles triangle NNS A52264 1214 15 may may MD A52264 1214 16 be be VB A52264 1214 17 found find VBN A52264 1214 18 two two CD A52264 1214 19 wayes waye NNS A52264 1214 20 : : : A52264 1214 21 First first RB A52264 1214 22 , , , A52264 1214 23 by by IN A52264 1214 24 the the DT A52264 1214 25 equality equality NN A52264 1214 26 of of IN A52264 1214 27 the the DT A52264 1214 28 Sines Sines NNPS A52264 1214 29 and and CC A52264 1214 30 Tangents Tangents NNPS A52264 1214 31 of of IN A52264 1214 32 the the DT A52264 1214 33 circular circular JJ A52264 1214 34 parts part NNS A52264 1214 35 of of IN A52264 1214 36 a a DT A52264 1214 37 triangle triangle NN A52264 1214 38 , , , A52264 1214 39 that that RB A52264 1214 40 is is RB A52264 1214 41 , , , A52264 1214 42 of of IN A52264 1214 43 the the DT A52264 1214 44 Logarithmes logarithme NNS A52264 1214 45 of of IN A52264 1214 46 the the DT A52264 1214 47 natural natural JJ A52264 1214 48 , , , A52264 1214 49 thus thus RB A52264 1214 50 by by IN A52264 1214 51 the the DT A52264 1214 52 universal universal JJ A52264 1214 53 proposition proposition NN A52264 1214 54 in in IN A52264 1214 55 the the DT A52264 1214 56 aforesaid aforesaid JJ A52264 1214 57 triangle triangle NNP A52264 1214 58 ABC ABC NNP A52264 1214 59 , , , A52264 1214 60 the the DT A52264 1214 61 hypothenusal hypothenusal NN A52264 1214 62 AB AB NNP A52264 1214 63 , , , A52264 1214 64 and and CC A52264 1214 65 the the DT A52264 1214 66 angles angle NNS A52264 1214 67 at at IN A52264 1214 68 AM am NN A52264 1214 69 and and CC A52264 1214 70 B b NN A52264 1214 71 being be VBG A52264 1214 72 noted note VBN A52264 1214 73 by by IN A52264 1214 74 their -PRON- PRP$ A52264 1214 75 complements complement NNS A52264 1214 76 , , , A52264 1214 77 I -PRON- PRP A52264 1214 78 say say VBP A52264 1214 79 . . . A52264 1215 1 1 1 LS A52264 1215 2 . . . A52264 1216 1 The the DT A52264 1216 2 sine sine NN A52264 1216 3 of of IN A52264 1216 4 AC AC NNP A52264 1216 5 added add VBN A52264 1216 6 to to IN A52264 1216 7 Radius Radius NNP A52264 1216 8 ; ; : A52264 1216 9 is be VBZ A52264 1216 10 equal equal JJ A52264 1216 11 to to IN A52264 1216 12 the the DT A52264 1216 13 sine sine NN A52264 1216 14 of of IN A52264 1216 15 AB AB NNP A52264 1216 16 added add VBN A52264 1216 17 to to IN A52264 1216 18 the the DT A52264 1216 19 sine sine NN A52264 1216 20 of of IN A52264 1216 21 the the DT A52264 1216 22 angle angle NN A52264 1216 23 at at IN A52264 1216 24 ● ● CD A52264 1216 25 . . . A52264 1217 1 2 2 LS A52264 1217 2 . . . A52264 1218 1 The the DT A52264 1218 2 cosine cosine NN A52264 1218 3 of of IN A52264 1218 4 A a DT A52264 1218 5 added add VBN A52264 1218 6 to to IN A52264 1218 7 Radius Radius NNP A52264 1218 8 is be VBZ A52264 1218 9 equal equal JJ A52264 1218 10 to to IN A52264 1218 11 the the DT A52264 1218 12 co co NN A52264 1218 13 - - NN A52264 1218 14 sine sine NN A52264 1218 15 of of IN A52264 1218 16 BC BC NNP A52264 1218 17 added add VBN A52264 1218 18 to to IN A52264 1218 19 the the DT A52264 1218 20 sine sine NN A52264 1218 21 of of IN A52264 1218 22 the the DT A52264 1218 23 angle angle NN A52264 1218 24 at at IN A52264 1218 25 B. B. NNP A52264 1219 1 3 3 LS A52264 1219 2 . . . A52264 1220 1 The the DT A52264 1220 2 co co JJ A52264 1220 3 - - NN A52264 1220 4 sine sine NN A52264 1220 5 of of IN A52264 1220 6 AB AB NNP A52264 1220 7 added add VBN A52264 1220 8 to to IN A52264 1220 9 Radius Radius NNP A52264 1220 10 , , , A52264 1220 11 is be VBZ A52264 1220 12 equall equall JJ A52264 1220 13 to to IN A52264 1220 14 the the DT A52264 1220 15 co co NN A52264 1220 16 - - NN A52264 1220 17 sine sine NN A52264 1220 18 of of IN A52264 1220 19 AC AC NNP A52264 1220 20 added add VBN A52264 1220 21 to to IN A52264 1220 22 to to IN A52264 1220 23 the the DT A52264 1220 24 co co NN A52264 1220 25 - - NN A52264 1220 26 sine sine NN A52264 1220 27 of of IN A52264 1220 28 BC BC NNP A52264 1220 29 . . . A52264 1221 1 4 4 LS A52264 1221 2 . . . A52264 1222 1 The the DT A52264 1222 2 co co JJ A52264 1222 3 - - NN A52264 1222 4 sine sine NN A52264 1222 5 of of IN A52264 1222 6 AB AB NNP A52264 1222 7 added add VBN A52264 1222 8 to to IN A52264 1222 9 Radius Radius NNP A52264 1222 10 is be VBZ A52264 1222 11 equal equal JJ A52264 1222 12 to to IN A52264 1222 13 the the DT A52264 1222 14 co co NN A52264 1222 15 - - NN A52264 1222 16 tangent tangent NN A52264 1222 17 of of IN A52264 1222 18 A A NNP A52264 1222 19 , , , A52264 1222 20 added add VBN A52264 1222 21 to to IN A52264 1222 22 the the DT A52264 1222 23 co co NN A52264 1222 24 - - NN A52264 1222 25 tangent tangent NN A52264 1222 26 of of IN A52264 1222 27 the the DT A52264 1222 28 angle angle NN A52264 1222 29 at at IN A52264 1222 30 B. B. NNP A52264 1223 1 5 5 CD A52264 1223 2 . . . A52264 1224 1 The the DT A52264 1224 2 cosine cosine NN A52264 1224 3 of of IN A52264 1224 4 the the DT A52264 1224 5 angle angle NN A52264 1224 6 at at IN A52264 1224 7 B b NN A52264 1224 8 added add VBN A52264 1224 9 to to IN A52264 1224 10 Radius Radius NNP A52264 1224 11 is be VBZ A52264 1224 12 equal equal JJ A52264 1224 13 to to IN A52264 1224 14 the the DT A52264 1224 15 tangent tangent NN A52264 1224 16 of of IN A52264 1224 17 BC BC NNP A52264 1224 18 , , , A52264 1224 19 added add VBD A52264 1224 20 to to IN A52264 1224 21 the the DT A52264 1224 22 cotangent cotangent NN A52264 1224 23 of of IN A52264 1224 24 AB AB NNP A52264 1224 25 . . . A52264 1225 1 6 6 CD A52264 1225 2 . . . A52264 1226 1 The the DT A52264 1226 2 sine sine NN A52264 1226 3 of of IN A52264 1226 4 BC BC NNP A52264 1226 5 added add VBD A52264 1226 6 to to IN A52264 1226 7 Radius Radius NNP A52264 1226 8 is be VBZ A52264 1226 9 equal equal JJ A52264 1226 10 to to IN A52264 1226 11 the the DT A52264 1226 12 co co NN A52264 1226 13 - - NN A52264 1226 14 tangent tangent NN A52264 1226 15 of of IN A52264 1226 16 the the DT A52264 1226 17 angle angle NN A52264 1226 18 at at IN A52264 1226 19 B b NN A52264 1226 20 added add VBN A52264 1226 21 to to IN A52264 1226 22 the the DT A52264 1226 23 tangent tangent NN A52264 1226 24 of of IN A52264 1226 25 AC AC NNP A52264 1226 26 . . . A52264 1227 1 And and CC A52264 1227 2 thus thus RB A52264 1227 3 he -PRON- PRP A52264 1227 4 that that WDT A52264 1227 5 listeth listeth NNP A52264 1227 6 may may MD A52264 1227 7 set set VB A52264 1227 8 down down RP A52264 1227 9 the the DT A52264 1227 10 equality equality NN A52264 1227 11 of of IN A52264 1227 12 the the DT A52264 1227 13 sines sine NNS A52264 1227 14 and and CC A52264 1227 15 tangents tangent NNS A52264 1227 16 of of IN A52264 1227 17 the the DT A52264 1227 18 other other JJ A52264 1227 19 sides side NNS A52264 1227 20 and and CC A52264 1227 21 angles angle NNS A52264 1227 22 , , , A52264 1227 23 and and CC A52264 1227 24 so so RB A52264 1227 25 there there EX A52264 1227 26 will will MD A52264 1227 27 be be VB A52264 1227 28 ten ten CD A52264 1227 29 in in IN A52264 1227 30 all all DT A52264 1227 31 ; ; : A52264 1227 32 but but CC A52264 1227 33 these these DT A52264 1227 34 may may MD A52264 1227 35 here here RB A52264 1227 36 suffice suffice VB A52264 1227 37 : : : A52264 1227 38 for for IN A52264 1227 39 to to IN A52264 1227 40 these these DT A52264 1227 41 may may MD A52264 1227 42 the the DT A52264 1227 43 sixteen sixteen CD A52264 1227 44 cases case NNS A52264 1227 45 of of IN A52264 1227 46 a a DT A52264 1227 47 right right JJ A52264 1227 48 angled angle VBN A52264 1227 49 spherical spherical JJ A52264 1227 50 triangle triangle NN A52264 1227 51 be be VB A52264 1227 52 reduced reduce VBN A52264 1227 53 ; ; : A52264 1227 54 namely namely RB A52264 1227 55 , , , A52264 1227 56 three three CD A52264 1227 57 to to IN A52264 1227 58 the the DT A52264 1227 59 first first JJ A52264 1227 60 , , , A52264 1227 61 three three CD A52264 1227 62 to to IN A52264 1227 63 the the DT A52264 1227 64 second second JJ A52264 1227 65 , , , A52264 1227 66 two two CD A52264 1227 67 to to IN A52264 1227 68 the the DT A52264 1227 69 third third JJ A52264 1227 70 , , , A52264 1227 71 two two CD A52264 1227 72 to to IN A52264 1227 73 the the DT A52264 1227 74 fourth fourth JJ A52264 1227 75 , , , A52264 1227 76 three three CD A52264 1227 77 to to IN A52264 1227 78 the the DT A52264 1227 79 fift fift NN A52264 1227 80 , , , A52264 1227 81 and and CC A52264 1227 82 three three CD A52264 1227 83 to to IN A52264 1227 84 the the DT A52264 1227 85 sixt sixt NNS A52264 1227 86 . . . A52264 1228 1 As as IN A52264 1228 2 admit admit NN A52264 1228 3 there there EX A52264 1228 4 were be VBD A52264 1228 5 given give VBN A52264 1228 6 the the DT A52264 1228 7 hypothenusal hypothenusal NN A52264 1228 8 BA BA NNP A52264 1228 9 , , , A52264 1228 10 and and CC A52264 1228 11 the the DT A52264 1228 12 angle angle NN A52264 1228 13 at at IN A52264 1228 14 B b NN A52264 1228 15 , , , A52264 1228 16 to to TO A52264 1228 17 finde finde VB A52264 1228 18 the the DT A52264 1228 19 base base NN A52264 1228 20 AC AC NNP A52264 1228 21 ; ; : A52264 1228 22 then then RB A52264 1228 23 , , , A52264 1228 24 by by IN A52264 1228 25 the the DT A52264 1228 26 first first JJ A52264 1228 27 , , , A52264 1228 28 seeing see VBG A52264 1228 29 that that IN A52264 1228 30 the the DT A52264 1228 31 sine sine NN A52264 1228 32 of of IN A52264 1228 33 AB AB NNP A52264 1228 34 added add VBN A52264 1228 35 to to IN A52264 1228 36 the the DT A52264 1228 37 sine sine NN A52264 1228 38 of of IN A52264 1228 39 the the DT A52264 1228 40 angle angle NN A52264 1228 41 at at IN A52264 1228 42 B b NN A52264 1228 43 , , , A52264 1228 44 is be VBZ A52264 1228 45 equal equal JJ A52264 1228 46 to to IN A52264 1228 47 the the DT A52264 1228 48 sine sine NN A52264 1228 49 of of IN A52264 1228 50 AC AC NNP A52264 1228 51 added add VBN A52264 1228 52 to to IN A52264 1228 53 Radius Radius NNP A52264 1228 54 . . . A52264 1229 1 Therefore therefore RB A52264 1229 2 , , , A52264 1229 3 if if IN A52264 1229 4 working work VBG A52264 1229 5 by by IN A52264 1229 6 natural natural JJ A52264 1229 7 numbers number NNS A52264 1229 8 I -PRON- PRP A52264 1229 9 multiply multiply VBP A52264 1229 10 the the DT A52264 1229 11 sine sine NN A52264 1229 12 of of IN A52264 1229 13 AB AB NNP A52264 1229 14 by by IN A52264 1229 15 the the DT A52264 1229 16 sine sine NN A52264 1229 17 of of IN A52264 1229 18 B B NNP A52264 1229 19 , , , A52264 1229 20 and and CC A52264 1229 21 divide divide VB A52264 1229 22 the the DT A52264 1229 23 product product NN A52264 1229 24 by by IN A52264 1229 25 Radius Radius NNP A52264 1229 26 , , , A52264 1229 27 the the DT A52264 1229 28 remainer remainer NN A52264 1229 29 will will MD A52264 1229 30 be be VB A52264 1229 31 the the DT A52264 1229 32 sine sine NN A52264 1229 33 of of IN A52264 1229 34 AC AC NNP A52264 1229 35 : : : A52264 1229 36 and and CC A52264 1229 37 working work VBG A52264 1229 38 by by IN A52264 1229 39 Logarithmes logarithme NNS A52264 1229 40 , , , A52264 1229 41 if if IN A52264 1229 42 from from IN A52264 1229 43 the the DT A52264 1229 44 summe summe NN A52264 1229 45 of of IN A52264 1229 46 the the DT A52264 1229 47 sines sine NNS A52264 1229 48 of of IN A52264 1229 49 AB AB NNP A52264 1229 50 and and CC A52264 1229 51 B B NNP A52264 1229 52 I -PRON- PRP A52264 1229 53 substract substract VBP A52264 1229 54 Radius Radius NNP A52264 1229 55 , , , A52264 1229 56 the the DT A52264 1229 57 rest rest NN A52264 1229 58 is be VBZ A52264 1229 59 the the DT A52264 1229 60 sine sine NN A52264 1229 61 of of IN A52264 1229 62 AC AC NNP A52264 1229 63 . . . A52264 1230 1 Secondly secondly RB A52264 1230 2 , , , A52264 1230 3 admit admit VB A52264 1230 4 there there EX A52264 1230 5 were be VBD A52264 1230 6 given give VBN A52264 1230 7 AB AB NNP A52264 1230 8 and and CC A52264 1230 9 AC AC NNP A52264 1230 10 , , , A52264 1230 11 to to IN A52264 1230 12 finde finde NNP A52264 1230 13 B B NNP A52264 1230 14 , , , A52264 1230 15 then then RB A52264 1230 16 seeing see VBG A52264 1230 17 that that IN A52264 1230 18 the the DT A52264 1230 19 sine sine NN A52264 1230 20 of of IN A52264 1230 21 AC AC NNP A52264 1230 22 added add VBN A52264 1230 23 to to IN A52264 1230 24 Radius Radius NNP A52264 1230 25 is be VBZ A52264 1230 26 equal equal JJ A52264 1230 27 to to IN A52264 1230 28 the the DT A52264 1230 29 sines sine NNS A52264 1230 30 of of IN A52264 1230 31 AB AB NNP A52264 1230 32 and and CC A52264 1230 33 B. B. NNP A52264 1231 1 Therefore therefore RB A52264 1231 2 , , , A52264 1231 3 if if IN A52264 1231 4 working work VBG A52264 1231 5 by by IN A52264 1231 6 naturall naturall JJ A52264 1231 7 numbers number NNS A52264 1231 8 I -PRON- PRP A52264 1231 9 multiply multiply VBP A52264 1231 10 the the DT A52264 1231 11 sine sine NN A52264 1231 12 of of IN A52264 1231 13 AC AC NNP A52264 1231 14 by by IN A52264 1231 15 Radius Radius NNP A52264 1231 16 , , , A52264 1231 17 and and CC A52264 1231 18 divide divide VB A52264 1231 19 the the DT A52264 1231 20 product product NN A52264 1231 21 by by IN A52264 1231 22 AB AB NNP A52264 1231 23 , , , A52264 1231 24 the the DT A52264 1231 25 remainer remainer NN A52264 1231 26 is be VBZ A52264 1231 27 the the DT A52264 1231 28 sine sine NN A52264 1231 29 of of IN A52264 1231 30 B. B. NNP A52264 1232 1 Or or CC A52264 1232 2 working work VBG A52264 1232 3 by by IN A52264 1232 4 Logarithmes logarithme NNS A52264 1232 5 , , , A52264 1232 6 if if IN A52264 1232 7 from from IN A52264 1232 8 the the DT A52264 1232 9 sum sum NN A52264 1232 10 of of IN A52264 1232 11 the the DT A52264 1232 12 sines sine NNS A52264 1232 13 of of IN A52264 1232 14 AC AC NNP A52264 1232 15 and and CC A52264 1232 16 Radius Radius NNP A52264 1232 17 , , , A52264 1232 18 I -PRON- PRP A52264 1232 19 substract substract VBP A52264 1232 20 the the DT A52264 1232 21 sine sine NN A52264 1232 22 of of IN A52264 1232 23 AB AB NNP A52264 1232 24 , , , A52264 1232 25 the the DT A52264 1232 26 remainer remainer NN A52264 1232 27 will will MD A52264 1232 28 be be VB A52264 1232 29 the the DT A52264 1232 30 sine sine NN A52264 1232 31 of of IN A52264 1232 32 B. B. NNP A52264 1233 1 Or or CC A52264 1233 2 thirdly thirdly RB A52264 1233 3 , , , A52264 1233 4 if if IN A52264 1233 5 there there EX A52264 1233 6 were be VBD A52264 1233 7 given give VBN A52264 1233 8 AC AC NNP A52264 1233 9 and and CC A52264 1233 10 the the DT A52264 1233 11 angle angle NN A52264 1233 12 at at IN A52264 1233 13 B b NN A52264 1233 14 , , , A52264 1233 15 to to IN A52264 1233 16 finde finde NN A52264 1233 17 AB AB NNP A52264 1233 18 : : : A52264 1233 19 then then RB A52264 1233 20 forasmuch forasmuch VB A52264 1233 21 as as IN A52264 1233 22 AC AC NNP A52264 1233 23 and and CC A52264 1233 24 Radius Radius NNP A52264 1233 25 is be VBZ A52264 1233 26 equal equal JJ A52264 1233 27 to to IN A52264 1233 28 the the DT A52264 1233 29 sines sine NNS A52264 1233 30 of of IN A52264 1233 31 AB AB NNP A52264 1233 32 and and CC A52264 1233 33 B B NNP A52264 1233 34 , , , A52264 1233 35 therefore therefore RB A52264 1233 36 if if IN A52264 1233 37 working work VBG A52264 1233 38 by by IN A52264 1233 39 natural natural JJ A52264 1233 40 numbers number NNS A52264 1233 41 I -PRON- PRP A52264 1233 42 multiply multiply VBP A52264 1233 43 AC AC NNP A52264 1233 44 by by IN A52264 1233 45 the the DT A52264 1233 46 Radius Radius NNP A52264 1233 47 , , , A52264 1233 48 and and CC A52264 1233 49 divide divide VB A52264 1233 50 the the DT A52264 1233 51 product product NN A52264 1233 52 by by IN A52264 1233 53 the the DT A52264 1233 54 sine sine NN A52264 1233 55 of of IN A52264 1233 56 B B NNP A52264 1233 57 , , , A52264 1233 58 the the DT A52264 1233 59 remainer remainer NN A52264 1233 60 is be VBZ A52264 1233 61 the the DT A52264 1233 62 sine sine NN A52264 1233 63 of of IN A52264 1233 64 AB AB NNP A52264 1233 65 . . . A52264 1234 1 Or or CC A52264 1234 2 working work VBG A52264 1234 3 by by IN A52264 1234 4 Logarithmes logarithme NNS A52264 1234 5 , , , A52264 1234 6 if if IN A52264 1234 7 from from IN A52264 1234 8 the the DT A52264 1234 9 sine sine NN A52264 1234 10 of of IN A52264 1234 11 AC AC NNP A52264 1234 12 and and CC A52264 1234 13 Radius Radius NNP A52264 1234 14 , , , A52264 1234 15 I -PRON- PRP A52264 1234 16 substract substract VBP A52264 1234 17 the the DT A52264 1234 18 sine sine NN A52264 1234 19 of of IN A52264 1234 20 B B NNP A52264 1234 21 the the DT A52264 1234 22 remainer remainer NN A52264 1234 23 is be VBZ A52264 1234 24 the the DT A52264 1234 25 sine sine NN A52264 1234 26 of of IN A52264 1234 27 AB AB NNP A52264 1234 28 : : : A52264 1234 29 an an DT A52264 1234 30 so so NN A52264 1234 31 of of IN A52264 1234 32 the the DT A52264 1234 33 rest rest NN A52264 1234 34 . . . A52264 1235 1 Which which WDT A52264 1235 2 that that IN A52264 1235 3 you -PRON- PRP A52264 1235 4 may may MD A52264 1235 5 the the DT A52264 1235 6 better well JJR A52264 1235 7 perceive perceive NN A52264 1235 8 , , , A52264 1235 9 I -PRON- PRP A52264 1235 10 have have VBP A52264 1235 11 here here RB A52264 1235 12 added add VBN A52264 1235 13 in in IN A52264 1235 14 expresse expresse NNP A52264 1235 15 words word NNS A52264 1235 16 , , , A52264 1235 17 the the DT A52264 1235 18 Canons canon NNS A52264 1235 19 or or CC A52264 1235 20 rules rule NNS A52264 1235 21 of of IN A52264 1235 22 the the DT A52264 1235 23 proportions proportion NNS A52264 1235 24 of of IN A52264 1235 25 the the DT A52264 1235 26 things thing NNS A52264 1235 27 given give VBN A52264 1235 28 and and CC A52264 1235 29 required require VBN A52264 1235 30 in in IN A52264 1235 31 every every DT A52264 1235 32 of of IN A52264 1235 33 the the DT A52264 1235 34 sixteen sixteen CD A52264 1235 35 cases case NNS A52264 1235 36 of of IN A52264 1235 37 a a DT A52264 1235 38 right right JJ A52264 1235 39 angled angle VBN A52264 1235 40 sphericall sphericall NN A52264 1235 41 triangle triangle NN A52264 1235 42 , , , A52264 1235 43 as as IN A52264 1235 44 they -PRON- PRP A52264 1235 45 are be VBP A52264 1235 46 collected collect VBN A52264 1235 47 from from IN A52264 1235 48 the the DT A52264 1235 49 Catholick Catholick NNP A52264 1235 50 Proposition Proposition NNP A52264 1235 51 . . . A52264 1236 1 And and CC A52264 1236 2 here here RB A52264 1236 3 the the DT A52264 1236 4 side side NN A52264 1236 5 subtending subtend VBG A52264 1236 6 the the DT A52264 1236 7 right right JJ A52264 1236 8 angle angle NN A52264 1236 9 we -PRON- PRP A52264 1236 10 call call VBP A52264 1236 11 the the DT A52264 1236 12 hypothenusal hypothenusal NN A52264 1236 13 , , , A52264 1236 14 the the DT A52264 1236 15 other other JJ A52264 1236 16 two two CD A52264 1236 17 containing contain VBG A52264 1236 18 the the DT A52264 1236 19 right right JJ A52264 1236 20 angle angle NN A52264 1236 21 we -PRON- PRP A52264 1236 22 may may MD A52264 1236 23 call call VB A52264 1236 24 the the DT A52264 1236 25 sides side NNS A52264 1236 26 ; ; : A52264 1236 27 but but CC A52264 1236 28 for for IN A52264 1236 29 further further JJ A52264 1236 30 distinction distinction NN A52264 1236 31 , , , A52264 1236 32 we -PRON- PRP A52264 1236 33 call call VBP A52264 1236 34 one one CD A52264 1236 35 of of IN A52264 1236 36 these these DT A52264 1236 37 containing contain VBG A52264 1236 38 sides side NNS A52264 1236 39 ( ( -LRB- A52264 1236 40 it -PRON- PRP A52264 1236 41 matters matter VBZ A52264 1236 42 not not RB A52264 1236 43 which which WDT A52264 1236 44 ) ) -RRB- A52264 1236 45 the the DT A52264 1236 46 base base NN A52264 1236 47 , , , A52264 1236 48 and and CC A52264 1236 49 the the DT A52264 1236 50 other other JJ A52264 1236 51 the the DT A52264 1236 52 perpendicular perpendicular JJ A52264 1236 53 . . . A52264 1237 1 The the DT A52264 1237 2 base base NN A52264 1237 3 an an DT A52264 1237 4 angle angle NN A52264 1237 5 at at IN A52264 1237 6 the the DT A52264 1237 7 base base NN A52264 1237 8 given give VBN A52264 1237 9 , , , A52264 1237 10 to to IN A52264 1237 11 finde finde NNP A52264 1237 12 1 1 CD A52264 1237 13 . . . A52264 1238 1 The the DT A52264 1238 2 Perpendicular Perpendicular NNP A52264 1238 3 . . . A52264 1238 4 ] ] -RRB- A52264 1239 1 As as IN A52264 1239 2 Radius Radius NNP A52264 1239 3 , , , A52264 1239 4 to to IN A52264 1239 5 the the DT A52264 1239 6 sine sine NN A52264 1239 7 of of IN A52264 1239 8 the the DT A52264 1239 9 base base NN A52264 1239 10 ; ; : A52264 1239 11 so so RB A52264 1239 12 is be VBZ A52264 1239 13 the the DT A52264 1239 14 tangent tangent NN A52264 1239 15 of of IN A52264 1239 16 the the DT A52264 1239 17 angle angle NN A52264 1239 18 at at IN A52264 1239 19 the the DT A52264 1239 20 base base NN A52264 1239 21 , , , A52264 1239 22 to to IN A52264 1239 23 the the DT A52264 1239 24 tangent tangent NN A52264 1239 25 of of IN A52264 1239 26 the the DT A52264 1239 27 perpendicular perpendicular NN A52264 1239 28 . . . A52264 1240 1 2 2 LS A52264 1240 2 . . . A52264 1241 1 Angle angle VB A52264 1241 2 at at IN A52264 1241 3 the the DT A52264 1241 4 perpendicular perpendicular NN A52264 1241 5 . . . A52264 1241 6 ] ] -RRB- A52264 1242 1 As as IN A52264 1242 2 Radius Radius NNP A52264 1242 3 , , , A52264 1242 4 to to IN A52264 1242 5 the the DT A52264 1242 6 co co NN A52264 1242 7 - - NN A52264 1242 8 sine sine NN A52264 1242 9 of of IN A52264 1242 10 the the DT A52264 1242 11 base base NN A52264 1242 12 ; ; : A52264 1242 13 so so CC A52264 1242 14 the the DT A52264 1242 15 sine sine NN A52264 1242 16 of of IN A52264 1242 17 the the DT A52264 1242 18 angle angle NN A52264 1242 19 at at IN A52264 1242 20 the the DT A52264 1242 21 base base NN A52264 1242 22 , , , A52264 1242 23 to to IN A52264 1242 24 the the DT A52264 1242 25 co co NN A52264 1242 26 - - NN A52264 1242 27 sine sine NN A52264 1242 28 of of IN A52264 1242 29 the the DT A52264 1242 30 angle angle NN A52264 1242 31 at at IN A52264 1242 32 the the DT A52264 1242 33 perpendicular perpendicular NN A52264 1242 34 . . . A52264 1243 1 3 3 LS A52264 1243 2 . . . A52264 1244 1 Hypothenusal Hypothenusal NNP A52264 1244 2 . . . A52264 1244 3 ] ] -RRB- A52264 1245 1 As as IN A52264 1245 2 Radius Radius NNP A52264 1245 3 , , , A52264 1245 4 to to IN A52264 1245 5 the the DT A52264 1245 6 co co NN A52264 1245 7 - - NN A52264 1245 8 sine sine NN A52264 1245 9 of of IN A52264 1245 10 the the DT A52264 1245 11 angle angle NN A52264 1245 12 at at IN A52264 1245 13 the the DT A52264 1245 14 base base NN A52264 1245 15 : : : A52264 1245 16 so so CC A52264 1245 17 the the DT A52264 1245 18 co co JJ A52264 1245 19 - - NN A52264 1245 20 tangent tangent NN A52264 1245 21 of of IN A52264 1245 22 the the DT A52264 1245 23 base base NN A52264 1245 24 , , , A52264 1245 25 to to IN A52264 1245 26 the the DT A52264 1245 27 co co NN A52264 1245 28 - - NN A52264 1245 29 tangent tangent NN A52264 1245 30 of of IN A52264 1245 31 the the DT A52264 1245 32 hypothenusal hypothenusal NN A52264 1245 33 . . . A52264 1246 1 The the DT A52264 1246 2 perpendicular perpendicular JJ A52264 1246 3 and and CC A52264 1246 4 angle angle VBP A52264 1246 5 at at IN A52264 1246 6 the the DT A52264 1246 7 base base NN A52264 1246 8 given give VBN A52264 1246 9 , , , A52264 1246 10 to to IN A52264 1246 11 finde finde NNP A52264 1246 12 4 4 CD A52264 1246 13 . . . A52264 1247 1 Angle angle NN A52264 1247 2 at at IN A52264 1247 3 perpend perpend NN A52264 1247 4 . . . A52264 1247 5 ] ] -RRB- A52264 1248 1 As as IN A52264 1248 2 the the DT A52264 1248 3 co co NN A52264 1248 4 - - NN A52264 1248 5 sine sine NN A52264 1248 6 of of IN A52264 1248 7 the the DT A52264 1248 8 perpendicular perpendicular NN A52264 1248 9 , , , A52264 1248 10 to to IN A52264 1248 11 Radius Radius NNP A52264 1248 12 ; ; : A52264 1248 13 so so CC A52264 1248 14 the the DT A52264 1248 15 co co NN A52264 1248 16 - - NN A52264 1248 17 sine sine NN A52264 1248 18 of of IN A52264 1248 19 the the DT A52264 1248 20 angle angle NN A52264 1248 21 at at IN A52264 1248 22 the the DT A52264 1248 23 base base NN A52264 1248 24 , , , A52264 1248 25 to to IN A52264 1248 26 the the DT A52264 1248 27 sine sine NN A52264 1248 28 of of IN A52264 1248 29 the the DT A52264 1248 30 angle angle NN A52264 1248 31 at at IN A52264 1248 32 the the DT A52264 1248 33 perpendicular perpendicular NN A52264 1248 34 . . . A52264 1249 1 5 5 CD A52264 1249 2 . . . A52264 1250 1 Hypothenusal Hypothenusal NNP A52264 1250 2 . . . A52264 1250 3 ] ] -RRB- A52264 1251 1 As as IN A52264 1251 2 the the DT A52264 1251 3 sine sine NN A52264 1251 4 of of IN A52264 1251 5 the the DT A52264 1251 6 angle angle NN A52264 1251 7 at at IN A52264 1251 8 the the DT A52264 1251 9 base base NN A52264 1251 10 , , , A52264 1251 11 to to IN A52264 1251 12 Radius Radius NNP A52264 1251 13 ; ; : A52264 1251 14 so so RB A52264 1251 15 the the DT A52264 1251 16 sine sine NN A52264 1251 17 of of IN A52264 1251 18 the the DT A52264 1251 19 perpendicular perpendicular NN A52264 1251 20 , , , A52264 1251 21 to to IN A52264 1251 22 the the DT A52264 1251 23 sine sine NN A52264 1251 24 of of IN A52264 1251 25 the the DT A52264 1251 26 hypothenusal hypothenusal NN A52264 1251 27 . . . A52264 1252 1 6 6 CD A52264 1252 2 . . . A52264 1253 1 The the DT A52264 1253 2 Base Base NNP A52264 1253 3 . . . A52264 1253 4 ] ] -RRB- A52264 1254 1 As as IN A52264 1254 2 Radius Radius NNP A52264 1254 3 , , , A52264 1254 4 to to IN A52264 1254 5 the the DT A52264 1254 6 co co NN A52264 1254 7 - - NN A52264 1254 8 tangent tangent NN A52264 1254 9 of of IN A52264 1254 10 the the DT A52264 1254 11 angle angle NN A52264 1254 12 at at IN A52264 1254 13 the the DT A52264 1254 14 base base NN A52264 1254 15 ; ; : A52264 1254 16 so so RB A52264 1254 17 is be VBZ A52264 1254 18 the the DT A52264 1254 19 tangent tangent NN A52264 1254 20 of of IN A52264 1254 21 the the DT A52264 1254 22 perpendicular perpendicular NN A52264 1254 23 , , , A52264 1254 24 to to IN A52264 1254 25 the the DT A52264 1254 26 sine sine NN A52264 1254 27 of of IN A52264 1254 28 the the DT A52264 1254 29 base base NN A52264 1254 30 . . . A52264 1255 1 The the DT A52264 1255 2 hypothenusal hypothenusal NN A52264 1255 3 and and CC A52264 1255 4 angle angle NN A52264 1255 5 at at IN A52264 1255 6 the the DT A52264 1255 7 base base NN A52264 1255 8 given give VBN A52264 1255 9 , , , A52264 1255 10 to to IN A52264 1255 11 finde finde NNP A52264 1255 12 7 7 CD A52264 1255 13 . . . A52264 1256 1 The the DT A52264 1256 2 base base NN A52264 1256 3 . . . A52264 1256 4 ] ] -RRB- A52264 1257 1 As as IN A52264 1257 2 Radius Radius NNP A52264 1257 3 , , , A52264 1257 4 to to IN A52264 1257 5 the the DT A52264 1257 6 co co NN A52264 1257 7 - - NN A52264 1257 8 sine sine NN A52264 1257 9 of of IN A52264 1257 10 the the DT A52264 1257 11 angle angle NN A52264 1257 12 at at IN A52264 1257 13 the the DT A52264 1257 14 base base NN A52264 1257 15 ; ; : A52264 1257 16 so so CC A52264 1257 17 the the DT A52264 1257 18 tangent tangent NN A52264 1257 19 of of IN A52264 1257 20 the the DT A52264 1257 21 hypothenusal hypothenusal NN A52264 1257 22 , , , A52264 1257 23 to to IN A52264 1257 24 the the DT A52264 1257 25 tangent tangent NN A52264 1257 26 of of IN A52264 1257 27 the the DT A52264 1257 28 base base NN A52264 1257 29 . . . A52264 1258 1 8 8 LS A52264 1258 2 . . . A52264 1259 1 Perpendicular perpendicular JJ A52264 1259 2 . . . A52264 1259 3 ] ] -RRB- A52264 1260 1 As as IN A52264 1260 2 Radius Radius NNP A52264 1260 3 , , , A52264 1260 4 to to IN A52264 1260 5 the the DT A52264 1260 6 sine sine NN A52264 1260 7 of of IN A52264 1260 8 the the DT A52264 1260 9 hypothenusal hypothenusal NN A52264 1260 10 , , , A52264 1260 11 so so RB A52264 1260 12 the the DT A52264 1260 13 sine sine NN A52264 1260 14 of of IN A52264 1260 15 the the DT A52264 1260 16 angle angle NN A52264 1260 17 at at IN A52264 1260 18 the the DT A52264 1260 19 base base NN A52264 1260 20 , , , A52264 1260 21 to to IN A52264 1260 22 the the DT A52264 1260 23 sine sine NN A52264 1260 24 of of IN A52264 1260 25 the the DT A52264 1260 26 perpendicular perpendicular NN A52264 1260 27 . . . A52264 1261 1 9 9 CD A52264 1261 2 . . . A52264 1262 1 Angle angle NN A52264 1262 2 at at IN A52264 1262 3 perpend perpend NN A52264 1262 4 . . . A52264 1262 5 ] ] -RRB- A52264 1263 1 As as IN A52264 1263 2 Radius Radius NNP A52264 1263 3 , , , A52264 1263 4 to to IN A52264 1263 5 the the DT A52264 1263 6 co co NN A52264 1263 7 - - NN A52264 1263 8 sine sine NN A52264 1263 9 of of IN A52264 1263 10 the the DT A52264 1263 11 hypothenasal hypothenasal NN A52264 1263 12 ; ; : A52264 1263 13 so so CC A52264 1263 14 the the DT A52264 1263 15 tangent tangent NN A52264 1263 16 of of IN A52264 1263 17 the the DT A52264 1263 18 angle angle NN A52264 1263 19 at at IN A52264 1263 20 the the DT A52264 1263 21 base base NN A52264 1263 22 , , , A52264 1263 23 to to IN A52264 1263 24 the the DT A52264 1263 25 co co NN A52264 1263 26 - - NN A52264 1263 27 tangent tangent NN A52264 1263 28 of of IN A52264 1263 29 the the DT A52264 1263 30 angle angle NN A52264 1263 31 at at IN A52264 1263 32 the the DT A52264 1263 33 perpendicular perpendicular NN A52264 1263 34 . . . A52264 1264 1 The the DT A52264 1264 2 base base NN A52264 1264 3 and and CC A52264 1264 4 perpendicular perpendicular JJ A52264 1264 5 given give VBN A52264 1264 6 , , , A52264 1264 7 to to IN A52264 1264 8 finde finde NNP A52264 1264 9 10 10 CD A52264 1264 10 . . . A52264 1265 1 Hypothenusal Hypothenusal NNP A52264 1265 2 . . . A52264 1265 3 ] ] -RRB- A52264 1266 1 As as IN A52264 1266 2 Radius Radius NNP A52264 1266 3 , , , A52264 1266 4 to to IN A52264 1266 5 the the DT A52264 1266 6 co co NN A52264 1266 7 - - NN A52264 1266 8 sine sine NN A52264 1266 9 of of IN A52264 1266 10 the the DT A52264 1266 11 perpendicular perpendicular NN A52264 1266 12 : : : A52264 1266 13 so so CC A52264 1266 14 the the DT A52264 1266 15 co co NN A52264 1266 16 - - NN A52264 1266 17 sine sine NN A52264 1266 18 of of IN A52264 1266 19 the the DT A52264 1266 20 base base NN A52264 1266 21 , , , A52264 1266 22 to to IN A52264 1266 23 the the DT A52264 1266 24 co co NN A52264 1266 25 - - NN A52264 1266 26 sine sine NN A52264 1266 27 of of IN A52264 1266 28 the the DT A52264 1266 29 hypothenusal hypothenusal NN A52264 1266 30 . . . A52264 1267 1 11 11 CD A52264 1267 2 . . . A52264 1268 1 Angle angle VB A52264 1268 2 at at IN A52264 1268 3 the the DT A52264 1268 4 base base NN A52264 1268 5 ] ] -RRB- A52264 1268 6 As as IN A52264 1268 7 Radius Radius NNP A52264 1268 8 , , , A52264 1268 9 to to IN A52264 1268 10 the the DT A52264 1268 11 sine sine NN A52264 1268 12 of of IN A52264 1268 13 the the DT A52264 1268 14 base base NN A52264 1268 15 : : : A52264 1268 16 so so RB A52264 1268 17 is be VBZ A52264 1268 18 the the DT A52264 1268 19 co co JJ A52264 1268 20 - - NN A52264 1268 21 tangent tangent NN A52264 1268 22 of of IN A52264 1268 23 the the DT A52264 1268 24 perpendicular perpendicular NN A52264 1268 25 , , , A52264 1268 26 to to IN A52264 1268 27 the the DT A52264 1268 28 co co NN A52264 1268 29 - - NN A52264 1268 30 tangent tangent NN A52264 1268 31 of of IN A52264 1268 32 the the DT A52264 1268 33 angle angle NN A52264 1268 34 at at IN A52264 1268 35 the the DT A52264 1268 36 base base NN A52264 1268 37 . . . A52264 1269 1 The the DT A52264 1269 2 base base NN A52264 1269 3 and and CC A52264 1269 4 hypothenusal hypothenusal NNP A52264 1269 5 given given NNP A52264 1269 6 , , , A52264 1269 7 to to IN A52264 1269 8 finde finde NNP A52264 1269 9 the the DT A52264 1269 10 12 12 CD A52264 1269 11 . . . A52264 1270 1 Perpendicular perpendicular JJ A52264 1270 2 . . . A52264 1270 3 ] ] -RRB- A52264 1271 1 As as IN A52264 1271 2 the the DT A52264 1271 3 co co NN A52264 1271 4 - - NN A52264 1271 5 sine sine NN A52264 1271 6 of of IN A52264 1271 7 the the DT A52264 1271 8 base base NN A52264 1271 9 , , , A52264 1271 10 to to IN A52264 1271 11 Radius Radius NNP A52264 1271 12 ; ; : A52264 1271 13 so so CC A52264 1271 14 the the DT A52264 1271 15 co co NN A52264 1271 16 - - NN A52264 1271 17 sine sine NN A52264 1271 18 of of IN A52264 1271 19 the the DT A52264 1271 20 hypothenusal hypothenusal NN A52264 1271 21 , , , A52264 1271 22 to to IN A52264 1271 23 the the DT A52264 1271 24 co co NN A52264 1271 25 - - NN A52264 1271 26 sine sine NN A52264 1271 27 of of IN A52264 1271 28 the the DT A52264 1271 29 perpendicular perpendicular NN A52264 1271 30 . . . A52264 1272 1 13 13 CD A52264 1272 2 . . . A52264 1273 1 Angle angle VB A52264 1273 2 at at IN A52264 1273 3 the the DT A52264 1273 4 base base NN A52264 1273 5 . . . A52264 1273 6 ] ] -RRB- A52264 1274 1 As as IN A52264 1274 2 Radius Radius NNP A52264 1274 3 , , , A52264 1274 4 to to IN A52264 1274 5 the the DT A52264 1274 6 tangent tangent NN A52264 1274 7 of of IN A52264 1274 8 the the DT A52264 1274 9 base base NN A52264 1274 10 ; ; : A52264 1274 11 so so CC A52264 1274 12 the the DT A52264 1274 13 co co JJ A52264 1274 14 - - NN A52264 1274 15 tangent tangent NN A52264 1274 16 of of IN A52264 1274 17 the the DT A52264 1274 18 hypothenusal hypothenusal NN A52264 1274 19 , , , A52264 1274 20 to to IN A52264 1274 21 the the DT A52264 1274 22 co co NN A52264 1274 23 - - NN A52264 1274 24 sine sine NN A52264 1274 25 of of IN A52264 1274 26 the the DT A52264 1274 27 angle angle NN A52264 1274 28 at at IN A52264 1274 29 the the DT A52264 1274 30 base base NN A52264 1274 31 . . . A52264 1275 1 14 14 CD A52264 1275 2 . . . A52264 1276 1 Angle angle VB A52264 1276 2 at at IN A52264 1276 3 the the DT A52264 1276 4 perpend perpend NN A52264 1276 5 . . . A52264 1276 6 ] ] -RRB- A52264 1277 1 As as IN A52264 1277 2 the the DT A52264 1277 3 sine sine NN A52264 1277 4 of of IN A52264 1277 5 the the DT A52264 1277 6 hypothenusal hypothenusal NN A52264 1277 7 , , , A52264 1277 8 to to IN A52264 1277 9 Radius Radius NNP A52264 1277 10 ; ; : A52264 1277 11 so so RB A52264 1277 12 the the DT A52264 1277 13 sine sine NN A52264 1277 14 of of IN A52264 1277 15 the the DT A52264 1277 16 base base NN A52264 1277 17 , , , A52264 1277 18 to to IN A52264 1277 19 the the DT A52264 1277 20 sine sine NN A52264 1277 21 of of IN A52264 1277 22 the the DT A52264 1277 23 angle angle NN A52264 1277 24 at at IN A52264 1277 25 the the DT A52264 1277 26 perpendicular perpendicular NN A52264 1277 27 . . . A52264 1278 1 The the DT A52264 1278 2 angles angle NNS A52264 1278 3 at at IN A52264 1278 4 the the DT A52264 1278 5 base base NN A52264 1278 6 and and CC A52264 1278 7 perpendicular perpendicular JJ A52264 1278 8 given give VBN A52264 1278 9 , , , A52264 1278 10 to to IN A52264 1278 11 finde finde NNP A52264 1278 12 15 15 CD A52264 1278 13 . . . A52264 1279 1 The the DT A52264 1279 2 perpendicular perpendicular NN A52264 1279 3 . . . A52264 1279 4 ] ] -RRB- A52264 1280 1 As as IN A52264 1280 2 the the DT A52264 1280 3 sine sine NN A52264 1280 4 of of IN A52264 1280 5 the the DT A52264 1280 6 angle angle NN A52264 1280 7 at at IN A52264 1280 8 the the DT A52264 1280 9 perpendicular perpendicular NN A52264 1280 10 , , , A52264 1280 11 is be VBZ A52264 1280 12 to to IN A52264 1280 13 Radius radius NN A52264 1280 14 : : : A52264 1280 15 so so CC A52264 1280 16 the the DT A52264 1280 17 co co NN A52264 1280 18 - - NN A52264 1280 19 sine sine NN A52264 1280 20 of of IN A52264 1280 21 the the DT A52264 1280 22 angle angle NN A52264 1280 23 at at IN A52264 1280 24 the the DT A52264 1280 25 base base NN A52264 1280 26 , , , A52264 1280 27 to to IN A52264 1280 28 the the DT A52264 1280 29 co co NN A52264 1280 30 - - NN A52264 1280 31 sine sine NN A52264 1280 32 of of IN A52264 1280 33 the the DT A52264 1280 34 perpendicular perpendicular NN A52264 1280 35 . . . A52264 1281 1 16 16 CD A52264 1281 2 . . . A52264 1282 1 The the DT A52264 1282 2 hypothenusal hypothenusal NN A52264 1282 3 . . . A52264 1282 4 ] ] -RRB- A52264 1283 1 As as IN A52264 1283 2 Radius Radius NNP A52264 1283 3 , , , A52264 1283 4 to to IN A52264 1283 5 co co NN A52264 1283 6 - - NN A52264 1283 7 tangent tangent NN A52264 1283 8 of of IN A52264 1283 9 the the DT A52264 1283 10 angle angle NN A52264 1283 11 at at IN A52264 1283 12 the the DT A52264 1283 13 perpendicular perpendicular NN A52264 1283 14 ; ; : A52264 1283 15 so so CC A52264 1283 16 the the DT A52264 1283 17 co co JJ A52264 1283 18 - - NN A52264 1283 19 tangent tangent NN A52264 1283 20 of of IN A52264 1283 21 the the DT A52264 1283 22 angle angle NN A52264 1283 23 at at IN A52264 1283 24 the the DT A52264 1283 25 base base NN A52264 1283 26 , , , A52264 1283 27 to to IN A52264 1283 28 the the DT A52264 1283 29 co co NN A52264 1283 30 - - NN A52264 1283 31 sine sine NN A52264 1283 32 of of IN A52264 1283 33 the the DT A52264 1283 34 hypothenusal hypothenusal NN A52264 1283 35 . . . A52264 1284 1 Secondly secondly RB A52264 1284 2 , , , A52264 1284 3 the the DT A52264 1284 4 proportions proportion NNS A52264 1284 5 of of IN A52264 1284 6 all all PDT A52264 1284 7 the the DT A52264 1284 8 cases case NNS A52264 1284 9 of of IN A52264 1284 10 a a DT A52264 1284 11 right right JJ A52264 1284 12 angled angle VBN A52264 1284 13 spherical spherical JJ A52264 1284 14 triangle triangle NN A52264 1284 15 , , , A52264 1284 16 may may MD A52264 1284 17 by by IN A52264 1284 18 the the DT A52264 1284 19 aforesaid aforesaid JJ A52264 1284 20 Catholick Catholick NNP A52264 1284 21 Proposition Proposition NNP A52264 1284 22 be be VB A52264 1284 23 known know VBN A52264 1284 24 thus thus RB A52264 1284 25 : : : A52264 1284 26 If if IN A52264 1284 27 the the DT A52264 1284 28 middle middle JJ A52264 1284 29 part part NN A52264 1284 30 be be VB A52264 1284 31 sought seek VBN A52264 1284 32 , , , A52264 1284 33 put put VB A52264 1284 34 the the DT A52264 1284 35 Radius Radius NNP A52264 1284 36 in in IN A52264 1284 37 the the DT A52264 1284 38 first first JJ A52264 1284 39 place place NN A52264 1284 40 ; ; : A52264 1284 41 if if IN A52264 1284 42 either either DT A52264 1284 43 of of IN A52264 1284 44 the the DT A52264 1284 45 extreams extream NNS A52264 1284 46 , , , A52264 1284 47 the the DT A52264 1284 48 other other JJ A52264 1284 49 extream extream NN A52264 1284 50 put put VBN A52264 1284 51 in in IN A52264 1284 52 the the DT A52264 1284 53 first first JJ A52264 1284 54 place place NN A52264 1284 55 . . . A52264 1285 1 And and CC A52264 1285 2 note note VB A52264 1285 3 , , , A52264 1285 4 that that IN A52264 1285 5 when when WRB A52264 1285 6 a a DT A52264 1285 7 complement complement NN A52264 1285 8 in in IN A52264 1285 9 the the DT A52264 1285 10 proposition proposition NN A52264 1285 11 doth doth JJ A52264 1285 12 chance chance NN A52264 1285 13 to to TO A52264 1285 14 concur concur VB A52264 1285 15 with with IN A52264 1285 16 a a DT A52264 1285 17 complement complement NN A52264 1285 18 in in IN A52264 1285 19 the the DT A52264 1285 20 circular circular JJ A52264 1285 21 parts part NNS A52264 1285 22 , , , A52264 1285 23 you -PRON- PRP A52264 1285 24 must must MD A52264 1285 25 take take VB A52264 1285 26 the the DT A52264 1285 27 sine sine NN A52264 1285 28 it -PRON- PRP A52264 1285 29 self self NN A52264 1285 30 , , , A52264 1285 31 or or CC A52264 1285 32 the the DT A52264 1285 33 tangent tangent NN A52264 1285 34 it -PRON- PRP A52264 1285 35 self self NN A52264 1285 36 , , , A52264 1285 37 because because IN A52264 1285 38 the the DT A52264 1285 39 co co NN A52264 1285 40 - - NN A52264 1285 41 sine sine NN A52264 1285 42 of of IN A52264 1285 43 the the DT A52264 1285 44 co co NN A52264 1285 45 - - NN A52264 1285 46 sine sine NN A52264 1285 47 is be VBZ A52264 1285 48 the the DT A52264 1285 49 sine sine NN A52264 1285 50 , , , A52264 1285 51 and and CC A52264 1285 52 the the DT A52264 1285 53 co co JJ A52264 1285 54 - - NN A52264 1285 55 tangent tangent NN A52264 1285 56 of of IN A52264 1285 57 the the DT A52264 1285 58 co co NN A52264 1285 59 - - NN A52264 1285 60 tangent tangent NN A52264 1285 61 is be VBZ A52264 1285 62 the the DT A52264 1285 63 tangent tangent NN A52264 1285 64 . . . A52264 1286 1 As as IN A52264 1286 2 in in IN A52264 1286 3 the the DT A52264 1286 4 following follow VBG A52264 1286 5 triangle triangle NN A52264 1286 6 ABC ABC NNP A52264 1286 7 , , , A52264 1286 8 let let VB A52264 1286 9 there there EX A52264 1286 10 be be VB A52264 1286 11 given give VBN A52264 1286 12 the the DT A52264 1286 13 base base NN A52264 1286 14 AB AB NNP A52264 1286 15 , , , A52264 1286 16 and and CC A52264 1286 17 the the DT A52264 1286 18 angle angle NN A52264 1286 19 at at IN A52264 1286 20 C C NNP A52264 1286 21 , , , A52264 1286 22 to to TO A52264 1286 23 finde finde NNP A52264 1286 24 the the DT A52264 1286 25 hypothenusal hypothenusal NNP A52264 1286 26 BC BC NNP A52264 1286 27 . . . A52264 1287 1 Here here RB A52264 1287 2 AB AB NNP A52264 1287 3 is be VBZ A52264 1287 4 the the DT A52264 1287 5 middle middle JJ A52264 1287 6 part part NN A52264 1287 7 , , , A52264 1287 8 BC BC NNP A52264 1287 9 and and CC A52264 1287 10 C C NNP A52264 1287 11 are be VBP A52264 1287 12 the the DT A52264 1287 13 opposite opposite JJ A52264 1287 14 extreams extream NNS A52264 1287 15 , , , A52264 1287 16 or or CC A52264 1287 17 the the DT A52264 1287 18 extreams extream NNS A52264 1287 19 disjunct disjunct JJ A52264 1287 20 . . . A52264 1288 1 Now now RB A52264 1288 2 because because IN A52264 1288 3 the the DT A52264 1288 4 extream extream JJ A52264 1288 5 BC BC NNP A52264 1288 6 is be VBZ A52264 1288 7 sought seek VBN A52264 1288 8 , , , A52264 1288 9 therefore therefore RB A52264 1288 10 I -PRON- PRP A52264 1288 11 must must MD A52264 1288 12 put put VB A52264 1288 13 the the DT A52264 1288 14 other other JJ A52264 1288 15 extream extream NN A52264 1288 16 , , , A52264 1288 17 that that RB A52264 1288 18 is is RB A52264 1288 19 , , , A52264 1288 20 the the DT A52264 1288 21 angle angle NN A52264 1288 22 at at IN A52264 1288 23 C C NNP A52264 1288 24 , , , A52264 1288 25 in in IN A52264 1288 26 the the DT A52264 1288 27 first first JJ A52264 1288 28 place place NN A52264 1288 29 ; ; : A52264 1288 30 and and CC A52264 1288 31 because because IN A52264 1288 32 that that DT A52264 1288 33 angle angle NN A52264 1288 34 , , , A52264 1288 35 as as IN A52264 1288 36 also also RB A52264 1288 37 the the DT A52264 1288 38 side side NN A52264 1288 39 sought seek VBD A52264 1288 40 are be VBP A52264 1288 41 noted note VBN A52264 1288 42 by by IN A52264 1288 43 their -PRON- PRP$ A52264 1288 44 complements complement NNS A52264 1288 45 , , , A52264 1288 46 therefore therefore RB A52264 1288 47 I -PRON- PRP A52264 1288 48 must must MD A52264 1288 49 not not RB A52264 1288 50 say say VB A52264 1288 51 : : : A52264 1288 52 As as IN A52264 1288 53 the the DT A52264 1288 54 co co NN A52264 1288 55 - - NN A52264 1288 56 sine sine NN A52264 1288 57 of of IN A52264 1288 58 the the DT A52264 1288 59 angle angle NN A52264 1288 60 at at IN A52264 1288 61 C C NNP A52264 1288 62 , , , A52264 1288 63 is be VBZ A52264 1288 64 to to IN A52264 1288 65 Radius radius NN A52264 1288 66 : : : A52264 1288 67 so so RB A52264 1288 68 is be VBZ A52264 1288 69 the the DT A52264 1288 70 sine sine NN A52264 1288 71 of of IN A52264 1288 72 the the DT A52264 1288 73 base base NN A52264 1288 74 AB AB NNP A52264 1288 75 , , , A52264 1288 76 to to IN A52264 1288 77 the the DT A52264 1288 78 co co NN A52264 1288 79 - - NN A52264 1288 80 sine sine NN A52264 1288 81 of of IN A52264 1288 82 the the DT A52264 1288 83 hypothenusal hypothenusal NNP A52264 1288 84 BC BC NNP A52264 1288 85 : : : A52264 1288 86 but but CC A52264 1288 87 thus thus RB A52264 1288 88 ; ; : A52264 1288 89 As as IN A52264 1288 90 the the DT A52264 1288 91 sine sine NN A52264 1288 92 of of IN A52264 1288 93 the the DT A52264 1288 94 angle angle NN A52264 1288 95 at at IN A52264 1288 96 the the DT A52264 1288 97 perpendicular perpendicular JJ A52264 1288 98 ACB ACB NNP A52264 1288 99 , , , A52264 1288 100 is be VBZ A52264 1288 101 to to IN A52264 1288 102 Radius Radius NNP A52264 1288 103 ; ; : A52264 1288 104 so so RB A52264 1288 105 is be VBZ A52264 1288 106 the the DT A52264 1288 107 sine sine NN A52264 1288 108 of of IN A52264 1288 109 the the DT A52264 1288 110 base base NN A52264 1288 111 AB AB NNP A52264 1288 112 , , , A52264 1288 113 to to IN A52264 1288 114 the the DT A52264 1288 115 sine sine NN A52264 1288 116 of of IN A52264 1288 117 the the DT A52264 1288 118 hypothenusal hypothenusal NNP A52264 1288 119 BC BC NNP A52264 1288 120 . . . A52264 1289 1 The the DT A52264 1289 2 like like NN A52264 1289 3 is be VBZ A52264 1289 4 to to TO A52264 1289 5 be be VB A52264 1289 6 understood understand VBN A52264 1289 7 of of IN A52264 1289 8 the the DT A52264 1289 9 rest rest NN A52264 1289 10 . . . A52264 1290 1 Thus thus RB A52264 1290 2 much much JJ A52264 1290 3 concerning concern VBG A52264 1290 4 right right JJ A52264 1290 5 angled angle VBN A52264 1290 6 spherical spherical JJ A52264 1290 7 triangles triangle NNS A52264 1290 8 : : : A52264 1290 9 as as IN A52264 1290 10 for for IN A52264 1290 11 Quadrantal Quadrantal NNP A52264 1290 12 there there EX A52264 1290 13 needs need VBZ A52264 1290 14 not not RB A52264 1290 15 much much RB A52264 1290 16 be be VB A52264 1290 17 said say VBN A52264 1290 18 , , , A52264 1290 19 because because IN A52264 1290 20 the the DT A52264 1290 21 circular circular JJ A52264 1290 22 parts part NNS A52264 1290 23 of of IN A52264 1290 24 a a DT A52264 1290 25 quadrantal quadrantal JJ A52264 1290 26 triangle triangle NN A52264 1290 27 , , , A52264 1290 28 are be VBP A52264 1290 29 the the DT A52264 1290 30 same same JJ A52264 1290 31 with with IN A52264 1290 32 the the DT A52264 1290 33 circular circular JJ A52264 1290 34 parts part NNS A52264 1290 35 of of IN A52264 1290 36 a a DT A52264 1290 37 right right NN A52264 1290 38 angled angle VBN A52264 1290 39 triangle triangle NN A52264 1290 40 adjoyning adjoyning NN A52264 1290 41 . . . A52264 1291 1 As as IN A52264 1291 2 let let VB A52264 1291 3 ABC ABC NNP A52264 1291 4 be be VB A52264 1291 5 a a DT A52264 1291 6 triangle triangle NN A52264 1291 7 , , , A52264 1291 8 right right RB A52264 1291 9 angled angle VBD A52264 1291 10 at at IN A52264 1291 11 A A NNP A52264 1291 12 , , , A52264 1291 13 and and CC A52264 1291 14 let let VB A52264 1291 15 one one CD A52264 1291 16 of of IN A52264 1291 17 the the DT A52264 1291 18 sides side NNS A52264 1291 19 thereof thereof RB A52264 1291 20 ; ; : A52264 1291 21 namely namely RB A52264 1291 22 , , , A52264 1291 23 AC AC NNP A52264 1291 24 be be VB A52264 1291 25 extended extend VBN A52264 1291 26 , , , A52264 1291 27 till till IN A52264 1291 28 it -PRON- PRP A52264 1291 29 become become VB A52264 1291 30 a a DT A52264 1291 31 quadrant quadrant NN A52264 1291 32 , , , A52264 1291 33 that that DT A52264 1291 34 is be VBZ A52264 1291 35 to to IN A52264 1291 36 D d NN A52264 1291 37 ; ; : A52264 1291 38 then then RB A52264 1291 39 draw draw VB A52264 1291 40 an an DT A52264 1291 41 arch arch NN A52264 1291 42 from from IN A52264 1291 43 D d NN A52264 1291 44 to to IN A52264 1291 45 B b NN A52264 1291 46 ; ; : A52264 1291 47 then then RB A52264 1291 48 is be VBZ A52264 1291 49 DBC DBC NNP A52264 1291 50 a a DT A52264 1291 51 quadrantal quadrantal JJ A52264 1291 52 triangle triangle NN A52264 1291 53 , , , A52264 1291 54 to to TO A52264 1291 55 which which WDT A52264 1291 56 there there EX A52264 1291 57 is be VBZ A52264 1291 58 a a DT A52264 1291 59 right right RB A52264 1291 60 angled angle VBN A52264 1291 61 triangle triangle NN A52264 1291 62 adjoyning adjoyning NN A52264 1291 63 , , , A52264 1291 64 as as IN A52264 1291 65 ABC ABC NNP A52264 1291 66 . . . A52264 1292 1 I -PRON- PRP A52264 1292 2 say say VBP A52264 1292 3 therefore therefore RB A52264 1292 4 that that IN A52264 1292 5 the the DT A52264 1292 6 circular circular JJ A52264 1292 7 parts part NNS A52264 1292 8 of of IN A52264 1292 9 the the DT A52264 1292 10 quadrantal quadrantal NN A52264 1292 11 triangle triangle NNP A52264 1292 12 BCD BCD NNP A52264 1292 13 are be VBP A52264 1292 14 the the DT A52264 1292 15 same same JJ A52264 1292 16 with with IN A52264 1292 17 the the DT A52264 1292 18 circular circular JJ A52264 1292 19 parts part NNS A52264 1292 20 of of IN A52264 1292 21 the the DT A52264 1292 22 right right NN A52264 1292 23 angled angle VBN A52264 1292 24 triangle triangle NN A52264 1292 25 ABC ABC NNP A52264 1292 26 : : : A52264 1292 27 for for IN A52264 1292 28 the the DT A52264 1292 29 circular circular JJ A52264 1292 30 parts part NNS A52264 1292 31 of of IN A52264 1292 32 either either DT A52264 1292 33 of of IN A52264 1292 34 them -PRON- PRP A52264 1292 35 are be VBP A52264 1292 36 as as RB A52264 1292 37 here here RB A52264 1292 38 appeareth appeareth NNP A52264 1292 39 . . . A52264 1293 1 The the DT A52264 1293 2 five five CD A52264 1293 3 circular circular JJ A52264 1293 4 parts part NNS A52264 1293 5 of of IN A52264 1293 6 the the DT A52264 1293 7 triangle triangle NN A52264 1293 8 . . . A52264 1294 1 ABC ABC NNP A52264 1294 2 are be VBP A52264 1294 3 AC AC NNP A52264 1294 4 AB AB NNP A52264 1294 5 co co NN A52264 1294 6 ABC ABC NNP A52264 1294 7 cō cō NN A52264 1294 8 B b NN A52264 1294 9 ● ● . A52264 1294 10 cō cō NN A52264 1294 11 BCA BCA NNP A52264 1294 12 BCD BCD NNP A52264 1294 13 are be VBP A52264 1294 14 com com NN A52264 1294 15 CD cd NN A52264 1294 16 CDB cdb NN A52264 1294 17 DBC DBC NNP A52264 1294 18 cō cō NN A52264 1294 19 BC BC NNP A52264 1294 20 cō cō NN A52264 1294 21 BCD BCD NNP A52264 1294 22 Where where WRB A52264 1294 23 it -PRON- PRP A52264 1294 24 is be VBZ A52264 1294 25 evident evident JJ A52264 1294 26 , , , A52264 1294 27 that that DT A52264 1294 28 AD ad NN A52264 1294 29 and and CC A52264 1294 30 DB DB NNP A52264 1294 31 being be VBG A52264 1294 32 quadrants quadrant NNS A52264 1294 33 , , , A52264 1294 34 DBA DBA NNP A52264 1294 35 is be VBZ A52264 1294 36 a a DT A52264 1294 37 right right JJ A52264 1294 38 angle angle NN A52264 1294 39 , , , A52264 1294 40 and and CC A52264 1294 41 BA BA NNP A52264 1294 42 is be VBZ A52264 1294 43 the the DT A52264 1294 44 measure measure NN A52264 1294 45 of of IN A52264 1294 46 the the DT A52264 1294 47 angle angle NN A52264 1294 48 at at IN A52264 1294 49 D d NN A52264 1294 50 , , , A52264 1294 51 so so IN A52264 1294 52 that that IN A52264 1294 53 the the DT A52264 1294 54 side side NN A52264 1294 55 AC AC NNP A52264 1294 56 in in IN A52264 1294 57 the the DT A52264 1294 58 one one NN A52264 1294 59 is be VBZ A52264 1294 60 equall equall JJ A52264 1294 61 to to IN A52264 1294 62 compl compl JJ A52264 1294 63 . . . A52264 1295 1 CD cd NN A52264 1295 2 in in IN A52264 1295 3 the the DT A52264 1295 4 other other JJ A52264 1295 5 : : : A52264 1295 6 and and CC A52264 1295 7 the the DT A52264 1295 8 side side NN A52264 1295 9 AB AB NNP A52264 1295 10 in in IN A52264 1295 11 the the DT A52264 1295 12 one one NN A52264 1295 13 is be VBZ A52264 1295 14 equal equal JJ A52264 1295 15 to to IN A52264 1295 16 the the DT A52264 1295 17 angle angle NN A52264 1295 18 BDC BDC NNP A52264 1295 19 in in IN A52264 1295 20 the the DT A52264 1295 21 other other JJ A52264 1295 22 : : : A52264 1295 23 and and CC A52264 1295 24 compl compl VBN A52264 1295 25 . . . A52264 1296 1 ABC ABC NNP A52264 1296 2 in in IN A52264 1296 3 the the DT A52264 1296 4 one one NN A52264 1296 5 is be VBZ A52264 1296 6 equal equal JJ A52264 1296 7 to to IN A52264 1296 8 DBC DBC NNP A52264 1296 9 in in IN A52264 1296 10 the the DT A52264 1296 11 other other JJ A52264 1296 12 , , , A52264 1296 13 and and CC A52264 1296 14 compl compl JJ A52264 1296 15 . . . A52264 1297 1 BC BC NNP A52264 1297 2 in in IN A52264 1297 3 the the DT A52264 1297 4 one one NN A52264 1297 5 is be VBZ A52264 1297 6 the the DT A52264 1297 7 same same JJ A52264 1297 8 with with IN A52264 1297 9 BC BC NNP A52264 1297 10 in in IN A52264 1297 11 the the DT A52264 1297 12 other other JJ A52264 1297 13 : : : A52264 1297 14 and and CC A52264 1297 15 lastly lastly RB A52264 1297 16 , , , A52264 1297 17 compl compl JJ A52264 1297 18 . . . A52264 1298 1 BCA BCA NNP A52264 1298 2 in in IN A52264 1298 3 the the DT A52264 1298 4 one one NN A52264 1298 5 is be VBZ A52264 1298 6 the the DT A52264 1298 7 same same JJ A52264 1298 8 with with IN A52264 1298 9 compl compl NN A52264 1298 10 . . . A52264 1299 1 DCB DCB NNP A52264 1299 2 in in IN A52264 1299 3 the the DT A52264 1299 4 other other JJ A52264 1299 5 ; ; : A52264 1299 6 for for IN A52264 1299 7 the the DT A52264 1299 8 compl compl NN A52264 1299 9 . . . A52264 1300 1 of of IN A52264 1300 2 the the DT A52264 1300 3 acute acute JJ A52264 1300 4 angle angle NN A52264 1300 5 A a NN A52264 1300 6 ● ● NFP A52264 1300 7 ● ● NFP A52264 1300 8 unto unto IN A52264 1300 9 a a DT A52264 1300 10 quadrant quadrant NN A52264 1300 11 is be VBZ A52264 1300 12 also also RB A52264 1300 13 the the DT A52264 1300 14 complement complement NN A52264 1300 15 of of IN A52264 1300 16 the the DT A52264 1300 17 obtuse obtuse NNP A52264 1300 18 angle angle NN A52264 1300 19 BCD BCD NNP A52264 1300 20 , , , A52264 1300 21 and and CC A52264 1300 22 the the DT A52264 1300 23 circular circular JJ A52264 1300 24 parts part NNS A52264 1300 25 of of IN A52264 1300 26 both both DT A52264 1300 27 triangles triangle NNS A52264 1300 28 being be VBG A52264 1300 29 the the DT A52264 1300 30 same same JJ A52264 1300 31 , , , A52264 1300 32 it -PRON- PRP A52264 1300 33 followes follow VBZ A52264 1300 34 , , , A52264 1300 35 that that IN A52264 1300 36 that that DT A52264 1300 37 which which WDT A52264 1300 38 is be VBZ A52264 1300 39 here here RB A52264 1300 40 proved prove VBN A52264 1300 41 touching touch VBG A52264 1300 42 right right RB A52264 1300 43 angled angled JJ A52264 1300 44 triangles triangle NNS A52264 1300 45 is be VBZ A52264 1300 46 also also RB A52264 1300 47 true true JJ A52264 1300 48 of of IN A52264 1300 49 quadrantal quadrantal JJ A52264 1300 50 . . . A52264 1301 1 And and CC A52264 1301 2 all all PDT A52264 1301 3 the the DT A52264 1301 4 sixteen sixteen CD A52264 1301 5 cases case NNS A52264 1301 6 thereof thereof RB A52264 1301 7 may may MD A52264 1301 8 also also RB A52264 1301 9 be be VB A52264 1301 10 resolved resolve VBN A52264 1301 11 by by IN A52264 1301 12 the the DT A52264 1301 13 aforesaid aforesaid JJ A52264 1301 14 Catholick Catholick NNP A52264 1301 15 Proposition Proposition NNP A52264 1301 16 . . . A52264 1302 1 As as IN A52264 1302 2 let let VB A52264 1302 3 there there EX A52264 1302 4 be be VB A52264 1302 5 given give VBN A52264 1302 6 the the DT A52264 1302 7 side side NN A52264 1302 8 DC DC NNP A52264 1302 9 , , , A52264 1302 10 and and CC A52264 1302 11 the the DT A52264 1302 12 angle angle NN A52264 1302 13 at at IN A52264 1302 14 C C NNP A52264 1302 15 , , , A52264 1302 16 to to TO A52264 1302 17 finde finde VB A52264 1302 18 the the DT A52264 1302 19 angle angle NN A52264 1302 20 at at IN A52264 1302 21 D d NN A52264 1302 22 , , , A52264 1302 23 then then RB A52264 1302 24 is be VBZ A52264 1302 25 the the DT A52264 1302 26 side side NN A52264 1302 27 DC DC NNP A52264 1302 28 the the DT A52264 1302 29 middle middle NN A52264 1302 30 , , , A52264 1302 31 and and CC A52264 1302 32 the the DT A52264 1302 33 angles angle NNS A52264 1302 34 at at IN A52264 1302 35 D d NN A52264 1302 36 and and CC A52264 1302 37 C C NNP A52264 1302 38 are be VBP A52264 1302 39 extreams extream NNS A52264 1302 40 adjacent adjacent JJ A52264 1302 41 ; ; : A52264 1302 42 now now RB A52264 1302 43 because because IN A52264 1302 44 the the DT A52264 1302 45 angle angle NN A52264 1302 46 at at IN A52264 1302 47 D d NN A52264 1302 48 , , , A52264 1302 49 one one CD A52264 1302 50 of of IN A52264 1302 51 the the DT A52264 1302 52 extreams extream NNS A52264 1302 53 is be VBZ A52264 1302 54 sought seek VBN A52264 1302 55 , , , A52264 1302 56 we -PRON- PRP A52264 1302 57 must must MD A52264 1302 58 put put VB A52264 1302 59 the the DT A52264 1302 60 other other JJ A52264 1302 61 extream extream NN A52264 1302 62 , , , A52264 1302 63 to to IN A52264 1302 64 wit wit NN A52264 1302 65 , , , A52264 1302 66 the the DT A52264 1302 67 angle angle NN A52264 1302 68 at at IN A52264 1302 69 C C NNP A52264 1302 70 in in IN A52264 1302 71 the the DT A52264 1302 72 first first JJ A52264 1302 73 place place NN A52264 1302 74 , , , A52264 1302 75 and and CC A52264 1302 76 that that DT A52264 1302 77 is be VBZ A52264 1302 78 noted note VBN A52264 1302 79 by by IN A52264 1302 80 its -PRON- PRP$ A52264 1302 81 complement complement NN A52264 1302 82 : : : A52264 1302 83 and and CC A52264 1302 84 therefore therefore RB A52264 1302 85 the the DT A52264 1302 86 Analogie Analogie NNP A52264 1302 87 is be VBZ A52264 1302 88 ▪ ▪ . A52264 1302 89 As as IN A52264 1302 90 the the DT A52264 1302 91 co co NN A52264 1302 92 - - NN A52264 1302 93 tangent tangent NN A52264 1302 94 of of IN A52264 1302 95 the the DT A52264 1302 96 angle angle NN A52264 1302 97 at at IN A52264 1302 98 C C NNP A52264 1302 99 , , , A52264 1302 100 to to IN A52264 1302 101 Radius Radius NNP A52264 1302 102 ; ; : A52264 1302 103 so so CC A52264 1302 104 the the DT A52264 1302 105 co co NN A52264 1302 106 - - NN A52264 1302 107 sine sine NN A52264 1302 108 of of IN A52264 1302 109 DC DC NNP A52264 1302 110 , , , A52264 1302 111 to to IN A52264 1302 112 the the DT A52264 1302 113 tangent tangent NN A52264 1302 114 of of IN A52264 1302 115 the the DT A52264 1302 116 angle angle NN A52264 1302 117 at at IN A52264 1302 118 D d NN A52264 1302 119 : : : A52264 1302 120 and and CC A52264 1302 121 so so RB A52264 1302 122 of of IN A52264 1302 123 the the DT A52264 1302 124 rest rest NN A52264 1302 125 ; ; , A52264 1302 126 and and CC A52264 1302 127 what what WP A52264 1302 128 is be VBZ A52264 1302 129 said say VBN A52264 1302 130 of of IN A52264 1302 131 the the DT A52264 1302 132 addition addition NN A52264 1302 133 of of IN A52264 1302 134 the the DT A52264 1302 135 artificial artificial JJ A52264 1302 136 numbers number NNS A52264 1302 137 is be VBZ A52264 1302 138 to to TO A52264 1302 139 be be VB A52264 1302 140 understood understand VBN A52264 1302 141 of of IN A52264 1302 142 the the DT A52264 1302 143 rectangles rectangle NNS A52264 1302 144 of of IN A52264 1302 145 the the DT A52264 1302 146 natural natural JJ A52264 1302 147 . . . A52264 1303 1 CHAP CHAP NNP A52264 1303 2 . . . A52264 1304 1 IX ix NN A52264 1304 2 . . . A52264 1305 1 Of of IN A52264 1305 2 Oblique Oblique NNP A52264 1305 3 angled angle VBD A52264 1305 4 Sphericall Sphericall NNP A52264 1305 5 Triangles Triangles NNPS A52264 1305 6 . . . A52264 1306 1 IN in IN A52264 1306 2 an an DT A52264 1306 3 obliquangled obliquangled JJ A52264 1306 4 spherical spherical JJ A52264 1306 5 triangle triangle NN A52264 1306 6 , , , A52264 1306 7 there there EX A52264 1306 8 are be VBP A52264 1306 9 twelve twelve CD A52264 1306 10 Cases case NNS A52264 1306 11 ; ; : A52264 1306 12 two two CD A52264 1306 13 whereof whereof NN A52264 1306 14 , , , A52264 1306 15 that that RB A52264 1306 16 is is RB A52264 1306 17 , , , A52264 1306 18 those those DT A52264 1306 19 wherein wherein WRB A52264 1306 20 the the DT A52264 1306 21 things thing NNS A52264 1306 22 given give VBN A52264 1306 23 and and CC A52264 1306 24 required require VBN A52264 1306 25 are be VBP A52264 1306 26 opposite opposite JJ A52264 1306 27 , , , A52264 1306 28 may may MD A52264 1306 29 be be VB A52264 1306 30 resolved resolve VBN A52264 1306 31 by by IN A52264 1306 32 the the DT A52264 1306 33 fift fift JJ A52264 1306 34 proposition proposition NN A52264 1306 35 of of IN A52264 1306 36 the the DT A52264 1306 37 last last JJ A52264 1306 38 Chapter chapter NN A52264 1306 39 . . . A52264 1307 1 CASE CASE NNP A52264 1307 2 1 1 CD A52264 1307 3 . . . A52264 1308 1 Two two CD A52264 1308 2 angles angle NNS A52264 1308 3 with with IN A52264 1308 4 a a DT A52264 1308 5 side side NN A52264 1308 6 opposite opposite RB A52264 1308 7 to to IN A52264 1308 8 one one CD A52264 1308 9 of of IN A52264 1308 10 them -PRON- PRP A52264 1308 11 being be VBG A52264 1308 12 given give VBN A52264 1308 13 , , , A52264 1308 14 to to TO A52264 1308 15 finde finde VB A52264 1308 16 the the DT A52264 1308 17 side side NN A52264 1308 18 opposite opposite RB A52264 1308 19 to to IN A52264 1308 20 the the DT A52264 1308 21 other other JJ A52264 1308 22 . . . A52264 1309 1 As as IN A52264 1309 2 in in IN A52264 1309 3 the the DT A52264 1309 4 triangle triangle NN A52264 1309 5 ABC ABC NNP A52264 1309 6 , , , A52264 1309 7 let let VB A52264 1309 8 there there EX A52264 1309 9 be be VB A52264 1309 10 given give VBN A52264 1309 11 the the DT A52264 1309 12 side side NN A52264 1309 13 BC BC NNP A52264 1309 14 , , , A52264 1309 15 with with IN A52264 1309 16 his -PRON- PRP$ A52264 1309 17 opposite opposite JJ A52264 1309 18 angle angle NN A52264 1309 19 at at IN A52264 1309 20 A a NN A52264 1309 21 , , , A52264 1309 22 and and CC A52264 1309 23 the the DT A52264 1309 24 angle angle NN A52264 1309 25 ABC ABC NNP A52264 1309 26 , , , A52264 1309 27 to to TO A52264 1309 28 finde finde VB A52264 1309 29 the the DT A52264 1309 30 side side NN A52264 1309 31 AC AC NNP A52264 1309 32 . . . A52264 1310 1 I -PRON- PRP A52264 1310 2 say say VBP A52264 1310 3 then then RB A52264 1310 4 , , , A52264 1310 5 by by IN A52264 1310 6 the the DT A52264 1310 7 fift fift JJ A52264 1310 8 proposition proposition NN A52264 1310 9 of of IN A52264 1310 10 the the DT A52264 1310 11 last last JJ A52264 1310 12 Chapter chapter NN A52264 1310 13 : : : A52264 1310 14 As as IN A52264 1310 15 the the DT A52264 1310 16 sine sine NN A52264 1310 17 of of IN A52264 1310 18 the the DT A52264 1310 19 angle angle NN A52264 1310 20 at at IN A52264 1310 21 A a NN A52264 1310 22 , , , A52264 1310 23 is be VBZ A52264 1310 24 to to IN A52264 1310 25 the the DT A52264 1310 26 sine sine NN A52264 1310 27 of of IN A52264 1310 28 his -PRON- PRP$ A52264 1310 29 opposite opposite JJ A52264 1310 30 side side NN A52264 1310 31 BC BC NNP A52264 1310 32 : : : A52264 1310 33 so so RB A52264 1310 34 is be VBZ A52264 1310 35 the the DT A52264 1310 36 sine sine NN A52264 1310 37 of of IN A52264 1310 38 the the DT A52264 1310 39 angle angle NN A52264 1310 40 at at IN A52264 1310 41 B b NN A52264 1310 42 , , , A52264 1310 43 to to IN A52264 1310 44 the the DT A52264 1310 45 sine sine NN A52264 1310 46 of of IN A52264 1310 47 his -PRON- PRP$ A52264 1310 48 opposite opposite JJ A52264 1310 49 side side NN A52264 1310 50 AC AC NNP A52264 1310 51 . . . A52264 1311 1 CASE CASE NNP A52264 1311 2 2 2 CD A52264 1311 3 . . . A52264 1312 1 Two two CD A52264 1312 2 sides side NNS A52264 1312 3 with with IN A52264 1312 4 an an DT A52264 1312 5 angle angle NN A52264 1312 6 opposite opposite NN A52264 1312 7 to to IN A52264 1312 8 one one CD A52264 1312 9 of of IN A52264 1312 10 them -PRON- PRP A52264 1312 11 being be VBG A52264 1312 12 given give VBN A52264 1312 13 , , , A52264 1312 14 to to TO A52264 1312 15 finde finde VB A52264 1312 16 an an DT A52264 1312 17 angle angle NN A52264 1312 18 opposite opposite NN A52264 1312 19 to to IN A52264 1312 20 the the DT A52264 1312 21 other other JJ A52264 1312 22 . . . A52264 1313 1 As as IN A52264 1313 2 the the DT A52264 1313 3 sine sine NN A52264 1313 4 of of IN A52264 1313 5 BC BC NNP A52264 1313 6 , , , A52264 1313 7 to to IN A52264 1313 8 the the DT A52264 1313 9 sine sine NN A52264 1313 10 of of IN A52264 1313 11 his -PRON- PRP$ A52264 1313 12 opposite opposite JJ A52264 1313 13 angle angle NN A52264 1313 14 at at IN A52264 1313 15 A a NN A52264 1313 16 : : : A52264 1313 17 so so RB A52264 1313 18 is be VBZ A52264 1313 19 the the DT A52264 1313 20 sine sine NN A52264 1313 21 of of IN A52264 1313 22 AC AC NNP A52264 1313 23 , , , A52264 1313 24 to to IN A52264 1313 25 the the DT A52264 1313 26 sine sine NN A52264 1313 27 of of IN A52264 1313 28 his -PRON- PRP$ A52264 1313 29 opposite opposite JJ A52264 1313 30 angle angle NN A52264 1313 31 B. B. NNP A52264 1314 1 Other other JJ A52264 1314 2 eight eight CD A52264 1314 3 cases case NNS A52264 1314 4 must must MD A52264 1314 5 be be VB A52264 1314 6 resolved resolve VBN A52264 1314 7 by by IN A52264 1314 8 the the DT A52264 1314 9 aid aid NN A52264 1314 10 of of IN A52264 1314 11 two two CD A52264 1314 12 Analogies Analogies NNPS A52264 1314 13 at at IN A52264 1314 14 the the DT A52264 1314 15 least least JJS A52264 1314 16 , , , A52264 1314 17 and and CC A52264 1314 18 that that IN A52264 1314 19 by by IN A52264 1314 20 reducing reduce VBG A52264 1314 21 the the DT A52264 1314 22 triangle triangle NN A52264 1314 23 proposed propose VBN A52264 1314 24 to to IN A52264 1314 25 two two CD A52264 1314 26 right right JJ A52264 1314 27 angled angle VBN A52264 1314 28 triangles triangle NNS A52264 1314 29 , , , A52264 1314 30 by by IN A52264 1314 31 a a DT A52264 1314 32 perpendicular perpendicular NN A52264 1314 33 let let NN A52264 1314 34 fall fall VB A52264 1314 35 from from IN A52264 1314 36 one one CD A52264 1314 37 of of IN A52264 1314 38 the the DT A52264 1314 39 angles angle NNS A52264 1314 40 to to IN A52264 1314 41 his -PRON- PRP$ A52264 1314 42 opposite opposite JJ A52264 1314 43 side side NN A52264 1314 44 , , , A52264 1314 45 which which WDT A52264 1314 46 perpendicular perpendicular JJ A52264 1314 47 falls fall VBZ A52264 1314 48 sometimes sometimes RB A52264 1314 49 within within IN A52264 1314 50 , , , A52264 1314 51 sometimes sometimes RB A52264 1314 52 without without IN A52264 1314 53 the the DT A52264 1314 54 triangle triangle NN A52264 1314 55 . . . A52264 1315 1 If if IN A52264 1315 2 the the DT A52264 1315 3 perpendicular perpendicular NN A52264 1315 4 be be VB A52264 1315 5 let let VBN A52264 1315 6 fall fall VB A52264 1315 7 from from IN A52264 1315 8 an an DT A52264 1315 9 obtuse obtuse JJ A52264 1315 10 angle angle NN A52264 1315 11 , , , A52264 1315 12 it -PRON- PRP A52264 1315 13 falleth falleth VBD A52264 1315 14 within within RB A52264 1315 15 , , , A52264 1315 16 but but CC A52264 1315 17 if if IN A52264 1315 18 it -PRON- PRP A52264 1315 19 fall fall VBP A52264 1315 20 from from IN A52264 1315 21 an an DT A52264 1315 22 acute acute JJ A52264 1315 23 angle angle NN A52264 1315 24 , , , A52264 1315 25 it -PRON- PRP A52264 1315 26 falls fall VBZ A52264 1315 27 without without IN A52264 1315 28 the the DT A52264 1315 29 triangle triangle NN A52264 1315 30 : : : A52264 1315 31 however however RB A52264 1315 32 it -PRON- PRP A52264 1315 33 falleth falleth RB A52264 1315 34 , , , A52264 1315 35 it -PRON- PRP A52264 1315 36 must must MD A52264 1315 37 be be VB A52264 1315 38 alwayes alwayes NNP A52264 1315 39 opposite opposite JJ A52264 1315 40 to to IN A52264 1315 41 a a DT A52264 1315 42 known know VBN A52264 1315 43 angle angle NN A52264 1315 44 . . . A52264 1316 1 For for IN A52264 1316 2 your -PRON- PRP$ A52264 1316 3 better well JJR A52264 1316 4 direction direction NN A52264 1316 5 , , , A52264 1316 6 in in IN A52264 1316 7 letting let VBG A52264 1316 8 fall fall VB A52264 1316 9 the the DT A52264 1316 10 perpendicular perpendicular JJ A52264 1316 11 take take VB A52264 1316 12 this this DT A52264 1316 13 generall generall NNP A52264 1316 14 rule rule NN A52264 1316 15 . . . A52264 1317 1 From from IN A52264 1317 2 the the DT A52264 1317 3 end end NN A52264 1317 4 of of IN A52264 1317 5 a a DT A52264 1317 6 side side NN A52264 1317 7 given give VBN A52264 1317 8 , , , A52264 1317 9 being be VBG A52264 1317 10 adjacent adjacent JJ A52264 1317 11 to to IN A52264 1317 12 an an DT A52264 1317 13 angle angle NN A52264 1317 14 given give VBN A52264 1317 15 , , , A52264 1317 16 let let VBD A52264 1317 17 fall fall VB A52264 1317 18 the the DT A52264 1317 19 perpendicular perpendicular NN A52264 1317 20 . . . A52264 1318 1 As as IN A52264 1318 2 in in IN A52264 1318 3 the the DT A52264 1318 4 triangle triangle NN A52264 1318 5 , , , A52264 1318 6 ABC ABC NNP A52264 1318 7 , , , A52264 1318 8 if if IN A52264 1318 9 there there EX A52264 1318 10 were be VBD A52264 1318 11 given give VBN A52264 1318 12 the the DT A52264 1318 13 side side NN A52264 1318 14 AB AB NNP A52264 1318 15 , , , A52264 1318 16 and and CC A52264 1318 17 the the DT A52264 1318 18 angle angle NN A52264 1318 19 at at IN A52264 1318 20 A a NN A52264 1318 21 : : : A52264 1318 22 by by IN A52264 1318 23 this this DT A52264 1318 24 rule rule NN A52264 1318 25 the the DT A52264 1318 26 perpendicular perpendicular NN A52264 1318 27 must must MD A52264 1318 28 fall fall VB A52264 1318 29 from from IN A52264 1318 30 B b NN A52264 1318 31 upon upon IN A52264 1318 32 the the DT A52264 1318 33 side side NN A52264 1318 34 AC AC NNP A52264 1318 35 ; ; : A52264 1318 36 but but CC A52264 1318 37 if if IN A52264 1318 38 there there EX A52264 1318 39 were be VBD A52264 1318 40 given give VBN A52264 1318 41 the the DT A52264 1318 42 side side NN A52264 1318 43 AC AC NNP A52264 1318 44 , , , A52264 1318 45 and and CC A52264 1318 46 the the DT A52264 1318 47 angle angle NN A52264 1318 48 at at IN A52264 1318 49 A a NN A52264 1318 50 ; ; : A52264 1318 51 then then RB A52264 1318 52 AB AB NNP A52264 1318 53 must must MD A52264 1318 54 be be VB A52264 1318 55 produced produce VBN A52264 1318 56 to to IN A52264 1318 57 D d NN A52264 1318 58 ; ; : A52264 1318 59 and and CC A52264 1318 60 the the DT A52264 1318 61 perpendicular perpendicular NN A52264 1318 62 must must MD A52264 1318 63 fall fall VB A52264 1318 64 from from IN A52264 1318 65 C C NNP A52264 1318 66 upon upon IN A52264 1318 67 the the DT A52264 1318 68 side side NN A52264 1318 69 AD ad NN A52264 1318 70 . . . A52264 1319 1 Thus thus RB A52264 1319 2 shall shall MD A52264 1319 3 we -PRON- PRP A52264 1319 4 have have VB A52264 1319 5 two two CD A52264 1319 6 right right JJ A52264 1319 7 angled angle VBN A52264 1319 8 triangles triangle NNS A52264 1319 9 , , , A52264 1319 10 and and CC A52264 1319 11 the the DT A52264 1319 12 side side NN A52264 1319 13 or or CC A52264 1319 14 angle angle NN A52264 1319 15 required require VBN A52264 1319 16 may may MD A52264 1319 17 easily easily RB A52264 1319 18 be be VB A52264 1319 19 resolved resolve VBN A52264 1319 20 by by IN A52264 1319 21 the the DT A52264 1319 22 Catholick Catholick NNP A52264 1319 23 Proposition Proposition NNP A52264 1319 24 . . . A52264 1320 1 As as IN A52264 1320 2 suppose suppose NN A52264 1320 3 there there EX A52264 1320 4 were be VBD A52264 1320 5 given give VBN A52264 1320 6 the the DT A52264 1320 7 side side NN A52264 1320 8 AB AB NNP A52264 1320 9 , , , A52264 1320 10 the the DT A52264 1320 11 angles angle NNS A52264 1320 12 at at IN A52264 1320 13 A a NN A52264 1320 14 and and CC A52264 1320 15 C C NNP A52264 1320 16 , , , A52264 1320 17 and and CC A52264 1320 18 required require VBD A52264 1320 19 the the DT A52264 1320 20 side side NN A52264 1320 21 AC AC NNP A52264 1320 22 ; ; : A52264 1320 23 then then RB A52264 1320 24 the the DT A52264 1320 25 perpendicular perpendicular NN A52264 1320 26 must must MD A52264 1320 27 fall fall VB A52264 1320 28 from from IN A52264 1320 29 B b NN A52264 1320 30 upon upon IN A52264 1320 31 the the DT A52264 1320 32 side side NN A52264 1320 33 AC AC NNP A52264 1320 34 , , , A52264 1320 35 as as IN A52264 1320 36 in in IN A52264 1320 37 the the DT A52264 1320 38 first first JJ A52264 1320 39 triangle triangle NN A52264 1320 40 , , , A52264 1320 41 and and CC A52264 1320 42 divide divide VB A52264 1320 43 the the DT A52264 1320 44 oblique oblique JJ A52264 1320 45 triangle triangle NN A52264 1320 46 ABC ABC NNP A52264 1320 47 into into IN A52264 1320 48 two two CD A52264 1320 49 right right JJ A52264 1320 50 angled angle VBN A52264 1320 51 triangles triangle NNS A52264 1320 52 , , , A52264 1320 53 to to IN A52264 1320 54 wit wit NN A52264 1320 55 , , , A52264 1320 56 ABF ABF NNP A52264 1320 57 and and CC A52264 1320 58 BFC BFC NNP A52264 1320 59 . . . A52264 1321 1 And and CC A52264 1321 2 in in IN A52264 1321 3 the the DT A52264 1321 4 triangle triangle NN A52264 1321 5 ABF ABF NNP A52264 1321 6 we -PRON- PRP A52264 1321 7 have have VBP A52264 1321 8 given give VBN A52264 1321 9 the the DT A52264 1321 10 side side NN A52264 1321 11 AB AB NNP A52264 1321 12 , , , A52264 1321 13 and and CC A52264 1321 14 the the DT A52264 1321 15 angle angle NN A52264 1321 16 at at IN A52264 1321 17 A A NNP A52264 1321 18 , , , A52264 1321 19 to to TO A52264 1321 20 finde finde VB A52264 1321 21 the the DT A52264 1321 22 base base NN A52264 1321 23 AF AF NNP A52264 1321 24 , , , A52264 1321 25 for for IN A52264 1321 26 which which WDT A52264 1321 27 the the DT A52264 1321 28 analogie analogie NN A52264 1321 29 , , , A52264 1321 30 by by IN A52264 1321 31 the the DT A52264 1321 32 Catholick Catholick NNP A52264 1321 33 Proposition Proposition NNP A52264 1321 34 , , , A52264 1321 35 is be VBZ A52264 1321 36 , , , A52264 1321 37 As as IN A52264 1321 38 the the DT A52264 1321 39 co co NN A52264 1321 40 - - NN A52264 1321 41 tangent tangent NN A52264 1321 42 of of IN A52264 1321 43 AB AB NNP A52264 1321 44 , , , A52264 1321 45 to to IN A52264 1321 46 Radius radius NN A52264 1321 47 : : : A52264 1321 48 so so RB A52264 1321 49 is be VBZ A52264 1321 50 the the DT A52264 1321 51 co co JJ A52264 1321 52 - - NN A52264 1321 53 sine sine NN A52264 1321 54 of of IN A52264 1321 55 the the DT A52264 1321 56 angle angle NN A52264 1321 57 at at IN A52264 1321 58 A a NN A52264 1321 59 , , , A52264 1321 60 to to IN A52264 1321 61 the the DT A52264 1321 62 tangent tangent NN A52264 1321 63 of of IN A52264 1321 64 AF AF NNP A52264 1321 65 : : : A52264 1321 66 that that RB A52264 1321 67 is be VBZ A52264 1321 68 , , , A52264 1321 69 by by IN A52264 1321 70 the the DT A52264 1321 71 seventh seventh JJ A52264 1321 72 case case NN A52264 1321 73 of of IN A52264 1321 74 right right JJ A52264 1321 75 angled angled JJ A52264 1321 76 triangles triangle NNS A52264 1321 77 . . . A52264 1322 1 Secondly secondly RB A52264 1322 2 , , , A52264 1322 3 by by IN A52264 1322 4 the the DT A52264 1322 5 eighth eighth JJ A52264 1322 6 case case NN A52264 1322 7 , , , A52264 1322 8 finde finde NNP A52264 1322 9 the the DT A52264 1322 10 perpendicular perpendicular JJ A52264 1322 11 BF BF NNP A52264 1322 12 . . . A52264 1323 1 Lastly lastly RB A52264 1323 2 , , , A52264 1323 3 in in IN A52264 1323 4 the the DT A52264 1323 5 triangle triangle NN A52264 1323 6 BFC BFC NNP A52264 1323 7 , , , A52264 1323 8 having have VBG A52264 1323 9 the the DT A52264 1323 10 perpendicular perpendicular JJ A52264 1323 11 BF BF NNP A52264 1323 12 , , , A52264 1323 13 and and CC A52264 1323 14 the the DT A52264 1323 15 angle angle NN A52264 1323 16 at at IN A52264 1323 17 C C NNP A52264 1323 18 , , , A52264 1323 19 by by IN A52264 1323 20 the the DT A52264 1323 21 sixt sixt NNP A52264 1323 22 case case NN A52264 1323 23 of of IN A52264 1323 24 right right JJ A52264 1323 25 angled angle VBN A52264 1323 26 spherical spherical JJ A52264 1323 27 triangles triangle NNS A52264 1323 28 , , , A52264 1323 29 you -PRON- PRP A52264 1323 30 may may MD A52264 1323 31 finde finde VB A52264 1323 32 the the DT A52264 1323 33 base base NN A52264 1323 34 FC FC NNP A52264 1323 35 , , , A52264 1323 36 which which WDT A52264 1323 37 being be VBG A52264 1323 38 added add VBN A52264 1323 39 to to IN A52264 1323 40 AF AF NNP A52264 1323 41 , , , A52264 1323 42 is be VBZ A52264 1323 43 the the DT A52264 1323 44 side side NN A52264 1323 45 AC AC NNP A52264 1323 46 . . . A52264 1324 1 But but CC A52264 1324 2 thus thus RB A52264 1324 3 there there EX A52264 1324 4 are be VBP A52264 1324 5 three three CD A52264 1324 6 operations operation NNS A52264 1324 7 required require VBN A52264 1324 8 ; ; : A52264 1324 9 whereas whereas IN A52264 1324 10 it -PRON- PRP A52264 1324 11 may may MD A52264 1324 12 be be VB A52264 1324 13 done do VBN A52264 1324 14 at at IN A52264 1324 15 two two CD A52264 1324 16 : : : A52264 1324 17 for for IN A52264 1324 18 the the DT A52264 1324 19 obliquangled obliquangled JJ A52264 1324 20 triangle triangle NN A52264 1324 21 being be VBG A52264 1324 22 reduced reduce VBN A52264 1324 23 into into IN A52264 1324 24 two two CD A52264 1324 25 right right JJ A52264 1324 26 angled angle VBN A52264 1324 27 triangles triangle NNS A52264 1324 28 , , , A52264 1324 29 by by IN A52264 1324 30 letting let VBG A52264 1324 31 fall fall VB A52264 1324 32 a a DT A52264 1324 33 perpendicular perpendicular NN A52264 1324 34 , , , A52264 1324 35 as as IN A52264 1324 36 before before RB A52264 1324 37 : : : A52264 1324 38 the the DT A52264 1324 39 hypothenusal hypothenusal NN A52264 1324 40 in in IN A52264 1324 41 one one CD A52264 1324 42 of of IN A52264 1324 43 the the DT A52264 1324 44 right right NN A52264 1324 45 angled angle VBN A52264 1324 46 triangles triangle NNS A52264 1324 47 will will MD A52264 1324 48 be be VB A52264 1324 49 correspondent correspondent NN A52264 1324 50 to to IN A52264 1324 51 the the DT A52264 1324 52 hypothenusal hypothenusal NN A52264 1324 53 in in IN A52264 1324 54 the the DT A52264 1324 55 other other JJ A52264 1324 56 , , , A52264 1324 57 and and CC A52264 1324 58 the the DT A52264 1324 59 base base NN A52264 1324 60 in in IN A52264 1324 61 the the DT A52264 1324 62 one one NN A52264 1324 63 to to IN A52264 1324 64 the the DT A52264 1324 65 base base NN A52264 1324 66 in in IN A52264 1324 67 the the DT A52264 1324 68 other other JJ A52264 1324 69 ; ; : A52264 1324 70 and and CC A52264 1324 71 so so RB A52264 1324 72 the the DT A52264 1324 73 other other JJ A52264 1324 74 parts part NNS A52264 1324 75 . . . A52264 1325 1 Then then RB A52264 1325 2 in in IN A52264 1325 3 one one CD A52264 1325 4 of of IN A52264 1325 5 these these DT A52264 1325 6 right right JJ A52264 1325 7 angled angle VBN A52264 1325 8 triangles triangle NNS A52264 1325 9 ( ( -LRB- A52264 1325 10 which which WDT A52264 1325 11 for for IN A52264 1325 12 distinction distinction NN A52264 1325 13 sake sake NN A52264 1325 14 we -PRON- PRP A52264 1325 15 call call VBP A52264 1325 16 the the DT A52264 1325 17 first first JJ A52264 1325 18 ) ) -RRB- A52264 1325 19 there there EX A52264 1325 20 is be VBZ A52264 1325 21 given give VBN A52264 1325 22 the the DT A52264 1325 23 hypothenusal hypothenusal NN A52264 1325 24 and and CC A52264 1325 25 angle angle NN A52264 1325 26 at at IN A52264 1325 27 the the DT A52264 1325 28 base base NN A52264 1325 29 , , , A52264 1325 30 whereby whereby WRB A52264 1325 31 may may MD A52264 1325 32 be be VB A52264 1325 33 found find VBN A52264 1325 34 the the DT A52264 1325 35 base base NN A52264 1325 36 or or CC A52264 1325 37 angle angle NN A52264 1325 38 at at IN A52264 1325 39 the the DT A52264 1325 40 perpendicular perpendicular JJ A52264 1325 41 , , , A52264 1325 42 as as IN A52264 1325 43 occasion occasion NN A52264 1325 44 requires require VBZ A52264 1325 45 ; ; : A52264 1325 46 by by IN A52264 1325 47 the the DT A52264 1325 48 seventh seventh JJ A52264 1325 49 or or CC A52264 1325 50 ninth ninth JJ A52264 1325 51 cases case NNS A52264 1325 52 of of IN A52264 1325 53 right right JJ A52264 1325 54 angled angled JJ A52264 1325 55 triangles triangle NNS A52264 1325 56 . . . A52264 1326 1 And and CC A52264 1326 2 this this DT A52264 1326 3 is be VBZ A52264 1326 4 the the DT A52264 1326 5 first first JJ A52264 1326 6 operation operation NN A52264 1326 7 . . . A52264 1327 1 For for IN A52264 1327 2 the the DT A52264 1327 3 second second JJ A52264 1327 4 , , , A52264 1327 5 there there EX A52264 1327 6 must must MD A52264 1327 7 ( ( -LRB- A52264 1327 8 of of IN A52264 1327 9 the the DT A52264 1327 10 things thing NNS A52264 1327 11 thus thus RB A52264 1327 12 given give VBN A52264 1327 13 and and CC A52264 1327 14 required require VBN A52264 1327 15 ) ) -RRB- A52264 1327 16 two two CD A52264 1327 17 things thing NNS A52264 1327 18 in in IN A52264 1327 19 one one CD A52264 1327 20 triangle triangle NN A52264 1327 21 , , , A52264 1327 22 be be VB A52264 1327 23 compared compare VBN A52264 1327 24 to to IN A52264 1327 25 two two CD A52264 1327 26 correspondent correspondent NN A52264 1327 27 things thing NNS A52264 1327 28 in in IN A52264 1327 29 the the DT A52264 1327 30 other other JJ A52264 1327 31 triangle triangle NN A52264 1327 32 , , , A52264 1327 33 which which WDT A52264 1327 34 two two CD A52264 1327 35 in in IN A52264 1327 36 each each DT A52264 1327 37 with with IN A52264 1327 38 the the DT A52264 1327 39 perpendicular perpendicular NN A52264 1327 40 make make VBP A52264 1327 41 three three CD A52264 1327 42 things thing NNS A52264 1327 43 in in IN A52264 1327 44 each each DT A52264 1327 45 triangle triangle NN A52264 1327 46 , , , A52264 1327 47 either either CC A52264 1327 48 adjacent adjacent JJ A52264 1327 49 , , , A52264 1327 50 that that RB A52264 1327 51 is is RB A52264 1327 52 , , , A52264 1327 53 lying lie VBG A52264 1327 54 together together RB A52264 1327 55 , , , A52264 1327 56 or or CC A52264 1327 57 opposite opposite NN A52264 1327 58 of of IN A52264 1327 59 which which WDT A52264 1327 60 three three CD A52264 1327 61 the the DT A52264 1327 62 perpendicular perpendicular NN A52264 1327 63 is be VBZ A52264 1327 64 alwayes alwayes NNP A52264 1327 65 one one CD A52264 1327 66 of of IN A52264 1327 67 the the DT A52264 1327 68 extreams extream NNS A52264 1327 69 , , , A52264 1327 70 and and CC A52264 1327 71 the the DT A52264 1327 72 thing thing NN A52264 1327 73 required require VBD A52264 1327 74 one one CD A52264 1327 75 of of IN A52264 1327 76 the the DT A52264 1327 77 other other JJ A52264 1327 78 extreams extream NNS A52264 1327 79 . . . A52264 1328 1 Thus thus RB A52264 1328 2 in in IN A52264 1328 3 the the DT A52264 1328 4 triangle triangle NN A52264 1328 5 ABF ABF NNP A52264 1328 6 , , , A52264 1328 7 if if IN A52264 1328 8 there there EX A52264 1328 9 were be VBD A52264 1328 10 given give VBN A52264 1328 11 AF AF NNP A52264 1328 12 and and CC A52264 1328 13 BF BF NNP A52264 1328 14 , , , A52264 1328 15 to to IN A52264 1328 16 finde finde NN A52264 1328 17 AB AB NNP A52264 1328 18 : : : A52264 1328 19 AB AB NNP A52264 1328 20 is be VBZ A52264 1328 21 the the DT A52264 1328 22 middle middle JJ A52264 1328 23 part part NN A52264 1328 24 , , , A52264 1328 25 AF AF NNP A52264 1328 26 and and CC A52264 1328 27 BF BF NNP A52264 1328 28 are be VBP A52264 1328 29 opposite opposite JJ A52264 1328 30 extreams extream NNS A52264 1328 31 ; ; : A52264 1328 32 and and CC A52264 1328 33 therefore therefore RB A52264 1328 34 by by IN A52264 1328 35 the the DT A52264 1328 36 Catholick Catholick NNP A52264 1328 37 Proposition Proposition NNP A52264 1328 38 . . . A52264 1329 1 Radius Radius NNP A52264 1329 2 added add VBD A52264 1329 3 to to IN A52264 1329 4 the the DT A52264 1329 5 co co NN A52264 1329 6 - - NN A52264 1329 7 sine sine NN A52264 1329 8 of of IN A52264 1329 9 AB AB NNP A52264 1329 10 , , , A52264 1329 11 is be VBZ A52264 1329 12 equal equal JJ A52264 1329 13 to to IN A52264 1329 14 the the DT A52264 1329 15 co co NNS A52264 1329 16 - - NNS A52264 1329 17 sines sine NNS A52264 1329 18 of of IN A52264 1329 19 AF AF NNP A52264 1329 20 and and CC A52264 1329 21 BF BF NNP A52264 1329 22 . . . A52264 1330 1 Then then RB A52264 1330 2 in in IN A52264 1330 3 the the DT A52264 1330 4 triangle triangle NN A52264 1330 5 BFC BFC NNP A52264 1330 6 , , , A52264 1330 7 if if IN A52264 1330 8 there there EX A52264 1330 9 were be VBD A52264 1330 10 given give VBN A52264 1330 11 BF BF NNP A52264 1330 12 and and CC A52264 1330 13 FC FC NNP A52264 1330 14 , , , A52264 1330 15 to to IN A52264 1330 16 finde finde NNP A52264 1330 17 BC BC NNP A52264 1330 18 : : : A52264 1330 19 BC BC NNP A52264 1330 20 will will MD A52264 1330 21 be be VB A52264 1330 22 the the DT A52264 1330 23 middle middle JJ A52264 1330 24 part part NN A52264 1330 25 , , , A52264 1330 26 BF BF NNP A52264 1330 27 and and CC A52264 1330 28 FC FC NNP A52264 1330 29 opposite opposite IN A52264 1330 30 extreames extreame NNS A52264 1330 31 ; ; : A52264 1330 32 and and CC A52264 1330 33 therefore therefore RB A52264 1330 34 by by IN A52264 1330 35 the the DT A52264 1330 36 Catholik Catholik NNP A52264 1330 37 Proposition Proposition NNP A52264 1330 38 . . . A52264 1331 1 The the DT A52264 1331 2 co co NNS A52264 1331 3 - - NNS A52264 1331 4 sines sine NNS A52264 1331 5 of of IN A52264 1331 6 BF BF NNP A52264 1331 7 and and CC A52264 1331 8 FC FC NNP A52264 1331 9 are be VBP A52264 1331 10 equall equall JJ A52264 1331 11 to to IN A52264 1331 12 the the DT A52264 1331 13 co co NN A52264 1331 14 - - NN A52264 1331 15 sine sine NN A52264 1331 16 of of IN A52264 1331 17 BC BC NNP A52264 1331 18 and and CC A52264 1331 19 Radius Radius NNP A52264 1331 20 . . . A52264 1332 1 But but CC A52264 1332 2 if if IN A52264 1332 3 from from IN A52264 1332 4 equal equal JJ A52264 1332 5 things thing NNS A52264 1332 6 we -PRON- PRP A52264 1332 7 take take VBP A52264 1332 8 away away RB A52264 1332 9 equal equal JJ A52264 1332 10 things thing NNS A52264 1332 11 , , , A52264 1332 12 the the DT A52264 1332 13 things thing NNS A52264 1332 14 remaining remain VBG A52264 1332 15 must must MD A52264 1332 16 needs needs VB A52264 1332 17 be be VB A52264 1332 18 equal equal JJ A52264 1332 19 ; ; : A52264 1332 20 if if IN A52264 1332 21 therefore therefore RB A52264 1332 22 we -PRON- PRP A52264 1332 23 take take VBP A52264 1332 24 away away RB A52264 1332 25 the the DT A52264 1332 26 Radius Radius NNP A52264 1332 27 , , , A52264 1332 28 and and CC A52264 1332 29 co co JJ A52264 1332 30 - - VB A52264 1332 31 sine sine JJ A52264 1332 32 BF BF NNP A52264 1332 33 in in IN A52264 1332 34 both both PDT A52264 1332 35 these these DT A52264 1332 36 proportions proportion NNS A52264 1332 37 , , , A52264 1332 38 it -PRON- PRP A52264 1332 39 followes follow VBZ A52264 1332 40 , , , A52264 1332 41 that that IN A52264 1332 42 the the DT A52264 1332 43 co co NN A52264 1332 44 - - NN A52264 1332 45 sine sine NN A52264 1332 46 of of IN A52264 1332 47 AB AB NNP A52264 1332 48 added add VBN A52264 1332 49 to to IN A52264 1332 50 the the DT A52264 1332 51 co co NN A52264 1332 52 - - NN A52264 1332 53 sine sine NN A52264 1332 54 of of IN A52264 1332 55 FC FC NNP A52264 1332 56 is be VBZ A52264 1332 57 equal equal JJ A52264 1332 58 to to IN A52264 1332 59 the the DT A52264 1332 60 cosine cosine NN A52264 1332 61 of of IN A52264 1332 62 BC BC NNP A52264 1332 63 added add VBD A52264 1332 64 to to IN A52264 1332 65 the the DT A52264 1332 66 co co NN A52264 1332 67 - - NN A52264 1332 68 sine sine NN A52264 1332 69 AF AF NNP A52264 1332 70 . . . A52264 1333 1 And and CC A52264 1333 2 therefore therefore RB A52264 1333 3 , , , A52264 1333 4 the the DT A52264 1333 5 middle middle JJ A52264 1333 6 part part NN A52264 1333 7 AB AB NNP A52264 1333 8 in in IN A52264 1333 9 the the DT A52264 1333 10 first first JJ A52264 1333 11 , , , A52264 1333 12 and and CC A52264 1333 13 the the DT A52264 1333 14 extream extream NN A52264 1333 15 FC FC NNP A52264 1333 16 in in IN A52264 1333 17 the the DT A52264 1333 18 second second NN A52264 1333 19 , , , A52264 1333 20 is be VBZ A52264 1333 21 equall equall JJ A52264 1333 22 to to IN A52264 1333 23 the the DT A52264 1333 24 middle middle JJ A52264 1333 25 part part NN A52264 1333 26 BC BC NNP A52264 1333 27 in in IN A52264 1333 28 the the DT A52264 1333 29 second second JJ A52264 1333 30 , , , A52264 1333 31 and and CC A52264 1333 32 the the DT A52264 1333 33 extream extream JJ A52264 1333 34 AF AF NNP A52264 1333 35 in in IN A52264 1333 36 the the DT A52264 1333 37 first first JJ A52264 1333 38 : : : A52264 1333 39 or or CC A52264 1333 40 thus thus RB A52264 1333 41 ; ; : A52264 1333 42 As as IN A52264 1333 43 the the DT A52264 1333 44 middle middle JJ A52264 1333 45 part part NN A52264 1333 46 in in IN A52264 1333 47 the the DT A52264 1333 48 first first JJ A52264 1333 49 triangle triangle NN A52264 1333 50 , , , A52264 1333 51 is be VBZ A52264 1333 52 in in IN A52264 1333 53 proporion proporion NN A52264 1333 54 to to IN A52264 1333 55 the the DT A52264 1333 56 middle middle JJ A52264 1333 57 part part NN A52264 1333 58 in in IN A52264 1333 59 the the DT A52264 1333 60 second second NN A52264 1333 61 : : : A52264 1333 62 so so RB A52264 1333 63 is be VBZ A52264 1333 64 the the DT A52264 1333 65 extream extream NN A52264 1333 66 in in IN A52264 1333 67 the the DT A52264 1333 68 first first JJ A52264 1333 69 , , , A52264 1333 70 to to IN A52264 1333 71 the the DT A52264 1333 72 extream extream NN A52264 1333 73 in in IN A52264 1333 74 the the DT A52264 1333 75 second second NN A52264 1333 76 . . . A52264 1334 1 Thus thus RB A52264 1334 2 by by IN A52264 1334 3 the the DT A52264 1334 4 Catholick Catholick NNP A52264 1334 5 Proposition Proposition NNP A52264 1334 6 , , , A52264 1334 7 and and CC A52264 1334 8 the the DT A52264 1334 9 help help NN A52264 1334 10 of of IN A52264 1334 11 this this DT A52264 1334 12 , , , A52264 1334 13 the the DT A52264 1334 14 eight eight CD A52264 1334 15 cases case NNS A52264 1334 16 following follow VBG A52264 1334 17 may may MD A52264 1334 18 be be VB A52264 1334 19 resolved resolve VBN A52264 1334 20 . . . A52264 1335 1 In in IN A52264 1335 2 the the DT A52264 1335 3 exemplification exemplification NN A52264 1335 4 whereof whereof IN A52264 1335 5 this this DT A52264 1335 6 sign sign NN A52264 1335 7 + + SYM A52264 1335 8 signifies signifie NNS A52264 1335 9 addition addition NN A52264 1335 10 . . . A52264 1336 1 By by IN A52264 1336 2 the the DT A52264 1336 3 Catholick Catholick NNP A52264 1336 4 Proposition Proposition NNP A52264 1336 5 , , , A52264 1336 6 it -PRON- PRP A52264 1336 7 is be VBZ A52264 1336 8 evident evident JJ A52264 1336 9 that that IN A52264 1336 10 1 1 CD A52264 1336 11 Rad Rad NNP A52264 1336 12 . . . A52264 1337 1 + + NFP A52264 1337 2 cs cs NNP A52264 1337 3 AB AB NNP A52264 1337 4 is be VBZ A52264 1337 5 equal equal JJ A52264 1337 6 to to TO A52264 1337 7 cs cs NNP A52264 1337 8 AF AF NNP A52264 1337 9 + + CC A52264 1337 10 cs cs NNP A52264 1337 11 FB FB NNP A52264 1337 12 cs cs NNP A52264 1337 13 BF BF NNP A52264 1337 14 + + CC A52264 1337 15 cs cs NNP A52264 1337 16 FC FC NNP A52264 1337 17 cs cs NNP A52264 1337 18 BC BC NNP A52264 1337 19 + + CC A52264 1337 20 Rad Rad NNP A52264 1337 21 2 2 CD A52264 1337 22 Rad Rad NNP A52264 1337 23 . . . A52264 1338 1 + + NFP A52264 1338 2 s s NN A52264 1338 3 AF AF NNP A52264 1338 4 is be VBZ A52264 1338 5 equal equal JJ A52264 1338 6 to to IN A52264 1338 7 ct ct NNP A52264 1338 8 A a NN A52264 1338 9 + + SYM A52264 1338 10 t t NN A52264 1338 11 FB FB NNP A52264 1338 12 t t NN A52264 1338 13 FB FB NNP A52264 1338 14 + + SYM A52264 1338 15 ct ct NNP A52264 1338 16 C C NNP A52264 1338 17 s s NNP A52264 1338 18 FC FC NNP A52264 1338 19 + + CC A52264 1338 20 Rad Rad NNP A52264 1338 21 . . . A52264 1339 1 3 3 CD A52264 1339 2 Rad Rad NNP A52264 1339 3 . . . A52264 1340 1 + + NFP A52264 1340 2 cs cs NNP A52264 1340 3 A A NNP A52264 1340 4 is be VBZ A52264 1340 5 equal equal JJ A52264 1340 6 to to IN A52264 1340 7 s s PRP A52264 1340 8 ABF ABF NNP A52264 1340 9 + + CC A52264 1340 10 cs cs NNP A52264 1340 11 FB FB NNP A52264 1340 12 cs cs NNP A52264 1340 13 FB FB NNP A52264 1340 14 + + NNP A52264 1340 15 s s NNP A52264 1340 16 FBC FBC NNP A52264 1340 17 cs cs NN A52264 1340 18 C C NNP A52264 1340 19 + + CC A52264 1340 20 Rad Rad NNP A52264 1340 21 4 4 CD A52264 1340 22 Ra Ra NNP A52264 1340 23 . . . A52264 1341 1 + + NFP A52264 1341 2 cs cs NNP A52264 1341 3 ABF ABF NNP A52264 1341 4 is be VBZ A52264 1341 5 equal equal JJ A52264 1341 6 to to IN A52264 1341 7 ct ct NNP A52264 1341 8 AB AB NNP A52264 1341 9 + + CC A52264 1341 10 t t NNP A52264 1341 11 FB FB NNP A52264 1341 12 t t NN A52264 1341 13 FB FB NNP A52264 1341 14 + + SYM A52264 1341 15 ct ct IN A52264 1341 16 BC BC NNP A52264 1341 17 cs cs NNP A52264 1341 18 FBC FBC NNP A52264 1341 19 + + SYM A52264 1341 20 Ra Ra NNP A52264 1341 21 . . . A52264 1342 1 Then then RB A52264 1342 2 taking take VBG A52264 1342 3 from from IN A52264 1342 4 either either DT A52264 1342 5 side side NN A52264 1342 6 tangent tangent NN A52264 1342 7 FB FB NNP A52264 1342 8 and and CC A52264 1342 9 Radius Radius NNP A52264 1342 10 , , , A52264 1342 11 or or CC A52264 1342 12 co co JJ A52264 1342 13 - - JJ A52264 1342 14 sine sine JJ A52264 1342 15 FB FB NNP A52264 1342 16 and and CC A52264 1342 17 Radius Radius NNP A52264 1342 18 , , , A52264 1342 19 it -PRON- PRP A52264 1342 20 followes follow VBZ A52264 1342 21 , , , A52264 1342 22 by by IN A52264 1342 23 the the DT A52264 1342 24 former former JJ A52264 1342 25 proposition proposition NN A52264 1342 26 , , , A52264 1342 27 that that IN A52264 1342 28 1 1 CD A52264 1342 29 . . . A52264 1342 30 cs cs NNP A52264 1342 31 AB AB NNP A52264 1342 32 + + SYM A52264 1342 33 cs cs NNP A52264 1342 34 FC FC NNP A52264 1342 35 is be VBZ A52264 1342 36 equall equall JJ A52264 1342 37 to to TO A52264 1342 38 cs cs NNP A52264 1342 39 BC BC NNP A52264 1342 40 + + CC A52264 1342 41 cs cs NNP A52264 1342 42 AF AF NNP A52264 1342 43 . . . A52264 1343 1 2 2 LS A52264 1343 2 . . . A52264 1343 3 s s NNP A52264 1343 4 AF AF NNP A52264 1343 5 + + SYM A52264 1343 6 ct ct NNP A52264 1343 7 C C NNP A52264 1343 8 is be VBZ A52264 1343 9 equall equall JJ A52264 1343 10 to to IN A52264 1343 11 s s PRP A52264 1343 12 FC fc NN A52264 1343 13 + + SYM A52264 1343 14 ct ct NNP A52264 1343 15 A. a. NN A52264 1344 1 3 3 LS A52264 1344 2 . . . A52264 1344 3 cs cs NNP A52264 1344 4 A a NN A52264 1344 5 + + SYM A52264 1344 6 s s NN A52264 1344 7 FBC FBC NNP A52264 1344 8 is be VBZ A52264 1344 9 equall equall JJ A52264 1344 10 to to TO A52264 1344 11 cs cs NNP A52264 1344 12 C C NNP A52264 1344 13 + + CC A52264 1344 14 s s NNP A52264 1344 15 ABF ABF NNP A52264 1344 16 4 4 CD A52264 1344 17 . . . A52264 1344 18 cs cs NNP A52264 1344 19 ABF ABF NNP A52264 1344 20 + + SYM A52264 1344 21 ct ct IN A52264 1344 22 BC BC NNP A52264 1344 23 is be VBZ A52264 1344 24 equal equal JJ A52264 1344 25 to to TO A52264 1344 26 cs cs VB A52264 1344 27 FBC FBC NNP A52264 1344 28 + + SYM A52264 1344 29 ct ct IN A52264 1344 30 AB AB NNP A52264 1344 31 For for IN A52264 1344 32 seeing see VBG A52264 1344 33 that that DT A52264 1344 34 AF AF NNP A52264 1344 35 and and CC A52264 1344 36 FB FB NNP A52264 1344 37 are be VBP A52264 1344 38 opposite opposite JJ A52264 1344 39 extreams extream NNS A52264 1344 40 to to IN A52264 1344 41 AB AB NNP A52264 1344 42 , , , A52264 1344 43 as as IN A52264 1344 44 CF CF NNP A52264 1344 45 and and CC A52264 1344 46 FB FB NNP A52264 1344 47 are be VBP A52264 1344 48 to to IN A52264 1344 49 BC BC NNP A52264 1344 50 : : : A52264 1344 51 therefore therefore RB A52264 1344 52 , , , A52264 1344 53 1 1 CD A52264 1344 54 . . . A52264 1345 1 As as IN A52264 1345 2 cs cs NNP A52264 1345 3 AF AF NNP A52264 1345 4 , , , A52264 1345 5 to to TO A52264 1345 6 cs cs NNP A52264 1345 7 FC FC NNP A52264 1345 8 ; ; : A52264 1345 9 so so RB A52264 1345 10 is be VBZ A52264 1345 11 cs cs NNP A52264 1345 12 AB AB NNP A52264 1345 13 , , , A52264 1345 14 to to TO A52264 1345 15 cs cs NNP A52264 1345 16 BC BC NNP A52264 1345 17 : : : A52264 1345 18 that that RB A52264 1345 19 is be VBZ A52264 1345 20 , , , A52264 1345 21 As as IN A52264 1345 22 co co JJ A52264 1345 23 - - NN A52264 1345 24 sine sine VBP A52264 1345 25 the the DT A52264 1345 26 first first JJ A52264 1345 27 base base NN A52264 1345 28 , , , A52264 1345 29 to to TO A52264 1345 30 co co VB A52264 1345 31 - - VB A52264 1345 32 sine sine VB A52264 1345 33 the the DT A52264 1345 34 second second JJ A52264 1345 35 ; ; : A52264 1345 36 so so RB A52264 1345 37 co co VB A52264 1345 38 - - VB A52264 1345 39 sine sine VB A52264 1345 40 the the DT A52264 1345 41 first first JJ A52264 1345 42 hypotheriusal hypotheriusal NN A52264 1345 43 , , , A52264 1345 44 to to TO A52264 1345 45 co co VB A52264 1345 46 - - VB A52264 1345 47 sine sine VB A52264 1345 48 the the DT A52264 1345 49 second second JJ A52264 1345 50 . . . A52264 1346 1 And and CC A52264 1346 2 this this DT A52264 1346 3 serves serve VBZ A52264 1346 4 for for IN A52264 1346 5 the the DT A52264 1346 6 third third JJ A52264 1346 7 and and CC A52264 1346 8 seventh seventh JJ A52264 1346 9 cases case NNS A52264 1346 10 following follow VBG A52264 1346 11 . . . A52264 1347 1 And and CC A52264 1347 2 seeing see VBG A52264 1347 3 that that DT A52264 1347 4 A A NNP A52264 1347 5 and and CC A52264 1347 6 FB FB NNP A52264 1347 7 are be VBP A52264 1347 8 adjacent adjacent JJ A52264 1347 9 extreams extream NNS A52264 1347 10 to to IN A52264 1347 11 AF AF NNP A52264 1347 12 : : : A52264 1347 13 as as IN A52264 1347 14 C C NNP A52264 1347 15 and and CC A52264 1347 16 FB FB NNP A52264 1347 17 are be VBP A52264 1347 18 to to IN A52264 1347 19 FC FC NNP A52264 1347 20 : : : A52264 1347 21 therefore therefore RB A52264 1347 22 , , , A52264 1347 23 2 2 CD A52264 1347 24 . . . A52264 1348 1 As as IN A52264 1348 2 s s PRP A52264 1348 3 AF AF NNP A52264 1348 4 , , , A52264 1348 5 to to IN A52264 1348 6 s s NNP A52264 1348 7 FC FC NNP A52264 1348 8 ; ; : A52264 1348 9 so so CC A52264 1348 10 ct ct NNP A52264 1348 11 A A NNP A52264 1348 12 , , , A52264 1348 13 to to IN A52264 1348 14 ct ct IN A52264 1348 15 C C NNP A52264 1348 16 : : : A52264 1348 17 that that RB A52264 1348 18 is is RB A52264 1348 19 , , , A52264 1348 20 as as IN A52264 1348 21 the the DT A52264 1348 22 sine sine NN A52264 1348 23 of of IN A52264 1348 24 the the DT A52264 1348 25 first first JJ A52264 1348 26 base base NN A52264 1348 27 , , , A52264 1348 28 to to IN A52264 1348 29 the the DT A52264 1348 30 sine sine NN A52264 1348 31 of of IN A52264 1348 32 the the DT A52264 1348 33 second second JJ A52264 1348 34 ; ; : A52264 1348 35 so so RB A52264 1348 36 co co JJ A52264 1348 37 - - JJ A52264 1348 38 tangent tangent JJ A52264 1348 39 the the DT A52264 1348 40 first first JJ A52264 1348 41 angle angle NN A52264 1348 42 at at IN A52264 1348 43 the the DT A52264 1348 44 base base NN A52264 1348 45 , , , A52264 1348 46 to to TO A52264 1348 47 co co JJ A52264 1348 48 - - VB A52264 1348 49 tangent tangent VB A52264 1348 50 the the DT A52264 1348 51 second second NN A52264 1348 52 , , , A52264 1348 53 which which WDT A52264 1348 54 serves serve VBZ A52264 1348 55 for for IN A52264 1348 56 the the DT A52264 1348 57 fourth fourth JJ A52264 1348 58 and and CC A52264 1348 59 tenth tenth JJ A52264 1348 60 cases case NNS A52264 1348 61 . . . A52264 1349 1 Again again RB A52264 1349 2 , , , A52264 1349 3 seeing see VBG A52264 1349 4 that that IN A52264 1349 5 ABF ABF NNP A52264 1349 6 and and CC A52264 1349 7 FB FB NNP A52264 1349 8 are be VBP A52264 1349 9 opposite opposite JJ A52264 1349 10 extreams extream NNS A52264 1349 11 to to IN A52264 1349 12 A a DT A52264 1349 13 , , , A52264 1349 14 as as IN A52264 1349 15 CBF CBF NNP A52264 1349 16 and and CC A52264 1349 17 FB FB NNP A52264 1349 18 are be VBP A52264 1349 19 to to IN A52264 1349 20 C C NNP A52264 1349 21 : : : A52264 1349 22 therefore therefore RB A52264 1349 23 , , , A52264 1349 24 3 3 CD A52264 1349 25 . . . A52264 1350 1 As as IN A52264 1350 2 s s NNP A52264 1350 3 ABF ABF NNP A52264 1350 4 , , , A52264 1350 5 to to IN A52264 1350 6 s s PRP A52264 1350 7 CBF CBF NNP A52264 1350 8 ; ; : A52264 1350 9 so so CC A52264 1350 10 cs cs NNP A52264 1350 11 A A NNP A52264 1350 12 , , , A52264 1350 13 to to IN A52264 1350 14 ● ● NNP A52264 1350 15 s s NNP A52264 1350 16 C C NNP A52264 1350 17 : : : A52264 1350 18 that that RB A52264 1350 19 is is RB A52264 1350 20 , , , A52264 1350 21 as as IN A52264 1350 22 the the DT A52264 1350 23 sine sine NN A52264 1350 24 of of IN A52264 1350 25 the the DT A52264 1350 26 first first JJ A52264 1350 27 angle angle NN A52264 1350 28 at at IN A52264 1350 29 the the DT A52264 1350 30 perpendicular perpendicular NN A52264 1350 31 , , , A52264 1350 32 to to IN A52264 1350 33 the the DT A52264 1350 34 sine sine NN A52264 1350 35 of of IN A52264 1350 36 the the DT A52264 1350 37 second second JJ A52264 1350 38 ; ; : A52264 1350 39 so so RB A52264 1350 40 co co VB A52264 1350 41 - - VB A52264 1350 42 sine sine VB A52264 1350 43 the the DT A52264 1350 44 first first JJ A52264 1350 45 angle angle NN A52264 1350 46 at at IN A52264 1350 47 the the DT A52264 1350 48 base base NN A52264 1350 49 , , , A52264 1350 50 to to TO A52264 1350 51 co co VB A52264 1350 52 - - VB A52264 1350 53 sine sine VB A52264 1350 54 the the DT A52264 1350 55 second second JJ A52264 1350 56 : : : A52264 1350 57 which which WDT A52264 1350 58 serves serve VBZ A52264 1350 59 for for IN A52264 1350 60 the the DT A52264 1350 61 fifth fifth JJ A52264 1350 62 and and CC A52264 1350 63 ninth ninth JJ A52264 1350 64 cases case NNS A52264 1350 65 . . . A52264 1351 1 Lastly lastly RB A52264 1351 2 , , , A52264 1351 3 seeing see VBG A52264 1351 4 AB AB NNP A52264 1351 5 and and CC A52264 1351 6 FB FB NNP A52264 1351 7 are be VBP A52264 1351 8 adjacent adjacent JJ A52264 1351 9 extreams extream NNS A52264 1351 10 to to IN A52264 1351 11 ABF ABF NNP A52264 1351 12 , , , A52264 1351 13 as as IN A52264 1351 14 BC BC NNP A52264 1351 15 and and CC A52264 1351 16 FB FB NNP A52264 1351 17 are be VBP A52264 1351 18 to to IN A52264 1351 19 CBF CBF NNP A52264 1351 20 : : : A52264 1351 21 therefore therefore RB A52264 1351 22 , , , A52264 1351 23 4 4 CD A52264 1351 24 . . . A52264 1352 1 As as IN A52264 1352 2 cs cs NNP A52264 1352 3 ABF ABF NNP A52264 1352 4 , , , A52264 1352 5 to to IN A52264 1352 6 cs cs NNP A52264 1352 7 CBF CBF NNP A52264 1352 8 ; ; : A52264 1352 9 so so RB A52264 1352 10 ct ct NNP A52264 1352 11 AB AB NNP A52264 1352 12 , , , A52264 1352 13 to to IN A52264 1352 14 ct ct NNP A52264 1352 15 BC BC NNP A52264 1352 16 : : : A52264 1352 17 that that RB A52264 1352 18 is is RB A52264 1352 19 , , , A52264 1352 20 as as IN A52264 1352 21 co co JJ A52264 1352 22 - - NN A52264 1352 23 sine sine VB A52264 1352 24 the the DT A52264 1352 25 first first JJ A52264 1352 26 angle angle NN A52264 1352 27 at at IN A52264 1352 28 the the DT A52264 1352 29 perpendicular perpendicular NN A52264 1352 30 , , , A52264 1352 31 to to TO A52264 1352 32 co co VB A52264 1352 33 - - VB A52264 1352 34 sine sine VB A52264 1352 35 the the DT A52264 1352 36 second second JJ A52264 1352 37 ; ; : A52264 1352 38 so so RB A52264 1352 39 co co JJ A52264 1352 40 - - JJ A52264 1352 41 tangent tangent JJ A52264 1352 42 the the DT A52264 1352 43 first first JJ A52264 1352 44 hypothenusal hypothenusal NN A52264 1352 45 , , , A52264 1352 46 to to IN A52264 1352 47 co co VB A52264 1352 48 - - VB A52264 1352 49 tangent tangent VB A52264 1352 50 the the DT A52264 1352 51 second second JJ A52264 1352 52 : : : A52264 1352 53 this this DT A52264 1352 54 serves serve VBZ A52264 1352 55 for for IN A52264 1352 56 the the DT A52264 1352 57 sixth sixth JJ A52264 1352 58 and and CC A52264 1352 59 eighth eighth JJ A52264 1352 60 cases case NNS A52264 1352 61 following follow VBG A52264 1352 62 . . . A52264 1353 1 And and CC A52264 1353 2 this this DT A52264 1353 3 foundation foundation NN A52264 1353 4 being be VBG A52264 1353 5 thus thus RB A52264 1353 6 laid lay VBN A52264 1353 7 , , , A52264 1353 8 we -PRON- PRP A52264 1353 9 come come VBP A52264 1353 10 now now RB A52264 1353 11 to to IN A52264 1353 12 the the DT A52264 1353 13 severall severall JJS A52264 1353 14 Cases case NNS A52264 1353 15 thereon thereon NN A52264 1353 16 depending depending NN A52264 1353 17 . . . A52264 1354 1 CASE CASE NNP A52264 1354 2 3 3 CD A52264 1354 3 . . . A52264 1355 1 Two two CD A52264 1355 2 sides side NNS A52264 1355 3 and and CC A52264 1355 4 their -PRON- PRP$ A52264 1355 5 contained contain VBN A52264 1355 6 angle angle NN A52264 1355 7 given give VBN A52264 1355 8 , , , A52264 1355 9 to to TO A52264 1355 10 finde finde NNP A52264 1355 11 the the DT A52264 1355 12 third third JJ A52264 1355 13 side side NN A52264 1355 14 . . . A52264 1356 1 First first RB A52264 1356 2 , , , A52264 1356 3 by by IN A52264 1356 4 the the DT A52264 1356 5 seventh seventh JJ A52264 1356 6 case case NN A52264 1356 7 of of IN A52264 1356 8 right right JJ A52264 1356 9 angled angled JJ A52264 1356 10 triangles triangle NNS A52264 1356 11 , , , A52264 1356 12 the the DT A52264 1356 13 analogie analogie NN A52264 1356 14 is be VBZ A52264 1356 15 : : : A52264 1356 16 As as IN A52264 1356 17 Radius Radius NNP A52264 1356 18 , , , A52264 1356 19 to to IN A52264 1356 20 the the DT A52264 1356 21 co co NN A52264 1356 22 - - NN A52264 1356 23 sine sine NN A52264 1356 24 of of IN A52264 1356 25 the the DT A52264 1356 26 angle angle NN A52264 1356 27 at at IN A52264 1356 28 the the DT A52264 1356 29 base base NN A52264 1356 30 : : : A52264 1356 31 so so RB A52264 1356 32 is be VBZ A52264 1356 33 the the DT A52264 1356 34 tangent tangent NN A52264 1356 35 of of IN A52264 1356 36 the the DT A52264 1356 37 hypothenusal hypothenusal NN A52264 1356 38 , , , A52264 1356 39 to to IN A52264 1356 40 the the DT A52264 1356 41 tangent tangent NN A52264 1356 42 of of IN A52264 1356 43 the the DT A52264 1356 44 base base NN A52264 1356 45 , , , A52264 1356 46 or or CC A52264 1356 47 first first RB A52264 1356 48 arch arch NN A52264 1356 49 . . . A52264 1357 1 Which which WDT A52264 1357 2 being be VBG A52264 1357 3 added add VBN A52264 1357 4 to to IN A52264 1357 5 or or CC A52264 1357 6 substracted substracte VBN A52264 1357 7 from from IN A52264 1357 8 the the DT A52264 1357 9 base base NN A52264 1357 10 given give VBN A52264 1357 11 , , , A52264 1357 12 according accord VBG A52264 1357 13 to to IN A52264 1357 14 the the DT A52264 1357 15 following follow VBG A52264 1357 16 direction direction NN A52264 1357 17 , , , A52264 1357 18 giveth giveth VBZ A52264 1357 19 the the DT A52264 1357 20 second second JJ A52264 1357 21 arch arch NN A52264 1357 22 . . . A52264 1358 1 If if IN A52264 1358 2 the the DT A52264 1358 3 perpendicular perpendicular JJ A52264 1358 4 fall fall NN A52264 1358 5 Within within IN A52264 1358 6 the the DT A52264 1358 7 triangle triangle NN A52264 1358 8 , , , A52264 1358 9 subtract subtract VB A52264 1358 10 AF AF NNP A52264 1358 11 the the DT A52264 1358 12 base base NN A52264 1358 13 found find VBD A52264 1358 14 from from IN A52264 1358 15 AC AC NNP A52264 1358 16 the the DT A52264 1358 17 base base NN A52264 1358 18 given give VBN A52264 1358 19 , , , A52264 1358 20 the the DT A52264 1358 21 remainer remainer NN A52264 1358 22 is be VBZ A52264 1358 23 EC EC NNP A52264 1358 24 , , , A52264 1358 25 the the DT A52264 1358 26 second second JJ A52264 1358 27 arch arch NN A52264 1358 28 . . . A52264 1359 1 Without without IN A52264 1359 2 , , , A52264 1359 3 and and CC A52264 1359 4 the the DT A52264 1359 5 contained contained JJ A52264 1359 6 angle angle NN A52264 1359 7 obtuse obtuse NNP A52264 1359 8 , , , A52264 1359 9 adde adde NNP A52264 1359 10 the the DT A52264 1359 11 arch arch NN A52264 1359 12 found find VBD A52264 1359 13 to to IN A52264 1359 14 the the DT A52264 1359 15 arch arch JJ A52264 1359 16 given give VBN A52264 1359 17 , , , A52264 1359 18 and and CC A52264 1359 19 their -PRON- PRP$ A52264 1359 20 aggregate aggregate NN A52264 1359 21 is be VBZ A52264 1359 22 the the DT A52264 1359 23 second second JJ A52264 1359 24 arch arch NN A52264 1359 25 . . . A52264 1360 1 Without without IN A52264 1360 2 , , , A52264 1360 3 and and CC A52264 1360 4 the the DT A52264 1360 5 contained contained JJ A52264 1360 6 angle angle NNP A52264 1360 7 acute acute NN A52264 1360 8 , , , A52264 1360 9 substract substract VB A52264 1360 10 the the DT A52264 1360 11 arch arch NN A52264 1360 12 given give VBN A52264 1360 13 from from IN A52264 1360 14 the the DT A52264 1360 15 arch arch NN A52264 1360 16 found find VBN A52264 1360 17 , , , A52264 1360 18 the the DT A52264 1360 19 remainer remainer NN A52264 1360 20 is be VBZ A52264 1360 21 the the DT A52264 1360 22 second second JJ A52264 1360 23 arch arch NN A52264 1360 24 . . . A52264 1361 1 Then then RB A52264 1361 2 , , , A52264 1361 3 by by IN A52264 1361 4 the the DT A52264 1361 5 first first JJ A52264 1361 6 Consectary Consectary NNP A52264 1361 7 aforegoing aforegoing NN A52264 1361 8 say say VBP A52264 1361 9 : : : A52264 1361 10 as as IN A52264 1361 11 the the DT A52264 1361 12 co co NN A52264 1361 13 - - NN A52264 1361 14 sine sine NN A52264 1361 15 of of IN A52264 1361 16 the the DT A52264 1361 17 first first JJ A52264 1361 18 base base NN A52264 1361 19 , , , A52264 1361 20 to to IN A52264 1361 21 the the DT A52264 1361 22 co co NN A52264 1361 23 - - NN A52264 1361 24 sine sine NN A52264 1361 25 of of IN A52264 1361 26 the the DT A52264 1361 27 second second JJ A52264 1361 28 ; ; : A52264 1361 29 so so CC A52264 1361 30 the the DT A52264 1361 31 co co NN A52264 1361 32 - - NN A52264 1361 33 sine sine NN A52264 1361 34 of of IN A52264 1361 35 the the DT A52264 1361 36 first first JJ A52264 1361 37 hypothenusal hypothenusal NN A52264 1361 38 , , , A52264 1361 39 to to IN A52264 1361 40 the the DT A52264 1361 41 co co NN A52264 1361 42 - - NN A52264 1361 43 sine sine NN A52264 1361 44 of of IN A52264 1361 45 the the DT A52264 1361 46 second second JJ A52264 1361 47 : : : A52264 1361 48 but but CC A52264 1361 49 this this DT A52264 1361 50 we -PRON- PRP A52264 1361 51 will will MD A52264 1361 52 illustrate illustrate VB A52264 1361 53 by by IN A52264 1361 54 example example NN A52264 1361 55 . . . A52264 1362 1 Let let VB A52264 1362 2 there there EX A52264 1362 3 be be VB A52264 1362 4 therefore therefore RB A52264 1362 5 given give VBN A52264 1362 6 in in IN A52264 1362 7 the the DT A52264 1362 8 oblique oblique NN A52264 1362 9 angled angle VBN A52264 1362 10 spherical spherical JJ A52264 1362 11 triangle triangle NNP A52264 1362 12 ABC ABC NNP A52264 1362 13 , , , A52264 1362 14 the the DT A52264 1362 15 side side NN A52264 1362 16 or or CC A52264 1362 17 arch arch JJ A52264 1362 18 AB AB NNP A52264 1362 19 38 38 CD A52264 1362 20 degrees degree NNS A52264 1362 21 47 47 CD A52264 1362 22 minutes minute NNS A52264 1362 23 , , , A52264 1362 24 the the DT A52264 1362 25 side side NN A52264 1362 26 AC AC NNP A52264 1362 27 74 74 CD A52264 1362 28 degrees degree NNS A52264 1362 29 , , , A52264 1362 30 84 84 CD A52264 1362 31 minutes minute NNS A52264 1362 32 , , , A52264 1362 33 and and CC A52264 1362 34 their -PRON- PRP$ A52264 1362 35 contained contain VBN A52264 1362 36 angle angle NN A52264 1362 37 BAC BAC NNP A52264 1362 38 56 56 CD A52264 1362 39 degrees degree NNS A52264 1362 40 , , , A52264 1362 41 44 44 CD A52264 1362 42 minutes minute NNS A52264 1362 43 , , , A52264 1362 44 to to TO A52264 1362 45 finde finde VB A52264 1362 46 the the DT A52264 1362 47 side side NN A52264 1362 48 BC BC NNP A52264 1362 49 . . . A52264 1363 1 Now now RB A52264 1363 2 then then RB A52264 1363 3 according accord VBG A52264 1363 4 to to IN A52264 1363 5 the the DT A52264 1363 6 rules rule NNS A52264 1363 7 given give VBN A52264 1363 8 , , , A52264 1363 9 I -PRON- PRP A52264 1363 10 let let VBD A52264 1363 11 fall fall VB A52264 1363 12 the the DT A52264 1363 13 perpendicular perpendicular JJ A52264 1363 14 BF BF NNP A52264 1363 15 , , , A52264 1363 16 and and CC A52264 1363 17 so so RB A52264 1363 18 have have VBP A52264 1363 19 I -PRON- PRP A52264 1363 20 two two CD A52264 1363 21 right right JJ A52264 1363 22 angled angled JJ A52264 1363 23 triangles triangle NNS A52264 1363 24 , , , A52264 1363 25 the the DT A52264 1363 26 triangle triangle NN A52264 1363 27 ABF ABF NNP A52264 1363 28 and and CC A52264 1363 29 the the DT A52264 1363 30 triangle triangle NN A52264 1363 31 BFC BFC NNP A52264 1363 32 . . . A52264 1364 1 In in IN A52264 1364 2 the the DT A52264 1364 3 triangle triangle NN A52264 1364 4 ABF ABF NNP A52264 1364 5 , , , A52264 1364 6 we -PRON- PRP A52264 1364 7 have have VBP A52264 1364 8 the the DT A52264 1364 9 hypothenusal hypothenusal NN A52264 1364 10 AB AB NNP A52264 1364 11 38 38 CD A52264 1364 12 degrees degree NNS A52264 1364 13 , , , A52264 1364 14 47 47 CD A52264 1364 15 minutes minute NNS A52264 1364 16 , , , A52264 1364 17 and and CC A52264 1364 18 the the DT A52264 1364 19 angle angle NN A52264 1364 20 at at IN A52264 1364 21 the the DT A52264 1364 22 base base NN A52264 1364 23 BAF BAF NNP A52264 1364 24 56 56 CD A52264 1364 25 degrees degree NNS A52264 1364 26 44 44 CD A52264 1364 27 minutes minute NNS A52264 1364 28 , , , A52264 1364 29 to to TO A52264 1364 30 finde finde VB A52264 1364 31 the the DT A52264 1364 32 base base NN A52264 1364 33 AF AF NNP A52264 1364 34 . . . A52264 1365 1 First first RB A52264 1365 2 therefore therefore RB A52264 1365 3 I -PRON- PRP A52264 1365 4 say say VBP A52264 1365 5 , , , A52264 1365 6 As as IN A52264 1365 7 the the DT A52264 1365 8 Radius Radius NNP A52264 1365 9 90 90 CD A52264 1365 10 , , , A52264 1365 11 10.000000 10.000000 CD A52264 1365 12 Is be VBZ A52264 1365 13 to to IN A52264 1365 14 the the DT A52264 1365 15 co co NN A52264 1365 16 - - NN A52264 1365 17 sine sine NN A52264 1365 18 of of IN A52264 1365 19 BAC BAC NNP A52264 1365 20 56.44 56.44 CD A52264 1365 21 . . . A52264 1366 1 9.742576 9.742576 CD A52264 1366 2 So so RB A52264 1366 3 is be VBZ A52264 1366 4 the the DT A52264 1366 5 tangent tangent NN A52264 1366 6 of of IN A52264 1366 7 AB AB NNP A52264 1366 8 38 38 CD A52264 1366 9 47 47 CD A52264 1366 10 . . . A52264 1367 1 9.900138 9.900138 CD A52264 1367 2 To to IN A52264 1367 3 the the DT A52264 1367 4 tangent tangent NN A52264 1367 5 of of IN A52264 1367 6 AF AF NNP A52264 1367 7 23.72 23.72 CD A52264 1367 8 . . . A52264 1368 1 9.642714 9.642714 CD A52264 1368 2 Now now RB A52264 1368 3 because because IN A52264 1368 4 the the DT A52264 1368 5 perpendicular perpendicular JJ A52264 1368 6 falls fall VBZ A52264 1368 7 within within IN A52264 1368 8 the the DT A52264 1368 9 triangle triangle NN A52264 1368 10 , , , A52264 1368 11 I -PRON- PRP A52264 1368 12 substract substract VBP A52264 1368 13 AF AF NNP A52264 1368 14 23 23 CD A52264 1368 15 degrees degree NNS A52264 1368 16 , , , A52264 1368 17 7 7 CD A52264 1368 18 ● ● NFP A52264 1368 19 minutes minute NNS A52264 1368 20 from from IN A52264 1368 21 AC AC NNP A52264 1368 22 74 74 CD A52264 1368 23 degrees degree NNS A52264 1368 24 , , , A52264 1368 25 84 84 CD A52264 1368 26 min min NN A52264 1368 27 . . . A52264 1369 1 and and CC A52264 1369 2 there there EX A52264 1369 3 remains remain VBZ A52264 1369 4 FC fc NN A52264 1369 5 51 51 CD A52264 1369 6 degrees degree NNS A52264 1369 7 , , , A52264 1369 8 1 1 CD A52264 1369 9 ● ● CD A52264 1369 10 minutes minute NNS A52264 1369 11 , , , A52264 1369 12 the the DT A52264 1369 13 second second JJ A52264 1369 14 arch arch NN A52264 1369 15 . . . A52264 1370 1 Hence hence RB A52264 1370 2 to to TO A52264 1370 3 finde finde NN A52264 1370 4 BC BC NNP A52264 1370 5 , , , A52264 1370 6 I -PRON- PRP A52264 1370 7 say say VBP A52264 1370 8 ; ; : A52264 1370 9 As as IN A52264 1370 10 the the DT A52264 1370 11 co co NN A52264 1370 12 - - NN A52264 1370 13 sine sine NN A52264 1370 14 of of IN A52264 1370 15 AF AF NNP A52264 1370 16 23 23 CD A52264 1370 17 . . . A52264 1371 1 72 72 CD A52264 1371 2 . . . A52264 1371 3 co co NN A52264 1371 4 . . . A52264 1372 1 ar ar NNP A52264 1372 2 . . . A52264 1373 1 0.038331 0.038331 CD A52264 1373 2 Is be VBZ A52264 1373 3 to to IN A52264 1373 4 the the DT A52264 1373 5 co co NN A52264 1373 6 - - NN A52264 1373 7 sine sine NN A52264 1373 8 of of IN A52264 1373 9 FC FC NNP A52264 1373 10 51.12 51.12 CD A52264 1373 11 . . . A52264 1374 1 9.797746 9.797746 CD A52264 1374 2 So so RB A52264 1374 3 is be VBZ A52264 1374 4 the the DT A52264 1374 5 co co JJ A52264 1374 6 - - NN A52264 1374 7 sine sine NN A52264 1374 8 of of IN A52264 1374 9 AB AB NNP A52264 1374 10 38.47 38.47 CD A52264 1374 11 . . . A52264 1375 1 9.893725 9.893725 CD A52264 1375 2 To to IN A52264 1375 3 the the DT A52264 1375 4 co co NN A52264 1375 5 - - NN A52264 1375 6 sine sine NN A52264 1375 7 of of IN A52264 1375 8 BC BC NNP A52264 1375 9 57.53 57.53 CD A52264 1375 10 . . . A52264 1376 1 9.729802 9.729802 CD A52264 1376 2 2 2 CD A52264 1376 3 . . . A52264 1377 1 Example example NN A52264 1377 2 . . . A52264 1378 1 In in IN A52264 1378 2 the the DT A52264 1378 3 same same JJ A52264 1378 4 triangle triangle NN A52264 1378 5 , , , A52264 1378 6 let let VB A52264 1378 7 there there EX A52264 1378 8 be be VB A52264 1378 9 given give VBN A52264 1378 10 the the DT A52264 1378 11 side side NN A52264 1378 12 AB AB NNP A52264 1378 13 38 38 CD A52264 1378 14 degr degr NN A52264 1378 15 . . . A52264 1379 1 47 47 CD A52264 1379 2 min min NN A52264 1379 3 . . . A52264 1380 1 the the DT A52264 1380 2 side side NN A52264 1380 3 BC BC NNP A52264 1380 4 57 57 CD A52264 1380 5 degr degr NN A52264 1380 6 . . . A52264 1381 1 53 53 CD A52264 1381 2 min min NN A52264 1381 3 . . . A52264 1382 1 and and CC A52264 1382 2 their -PRON- PRP$ A52264 1382 3 contained contain VBN A52264 1382 4 angle angle NN A52264 1382 5 ABC ABC NNP A52264 1382 6 107 107 NNP A52264 1382 7 deg deg NNP A52264 1382 8 . . . A52264 1383 1 60 60 CD A52264 1383 2 min min NN A52264 1383 3 . . . A52264 1384 1 and and CC A52264 1384 2 let let VB A52264 1384 3 the the DT A52264 1384 4 side side NN A52264 1384 5 AC AC NNP A52264 1384 6 be be VB A52264 1384 7 sought seek VBN A52264 1384 8 . . . A52264 1385 1 First first RB A52264 1385 2 , , , A52264 1385 3 let let VB A52264 1385 4 fall fall VB A52264 1385 5 the the DT A52264 1385 6 perpendicular perpendicular JJ A52264 1385 7 DC DC NNP A52264 1385 8 , , , A52264 1385 9 and and CC A52264 1385 10 continue continue VB A52264 1385 11 the the DT A52264 1385 12 side side NN A52264 1385 13 AB ab NN A52264 1385 14 to to IN A52264 1385 15 D d NN A52264 1385 16 , , , A52264 1385 17 then then RB A52264 1385 18 in in IN A52264 1385 19 the the DT A52264 1385 20 right right NN A52264 1385 21 angled angle VBN A52264 1385 22 triangle triangle NNP A52264 1385 23 BDC BDC NNP A52264 1385 24 , , , A52264 1385 25 there there EX A52264 1385 26 is be VBZ A52264 1385 27 given give VBN A52264 1385 28 the the DT A52264 1385 29 angle angle NN A52264 1385 30 DBC DBC NNP A52264 1385 31 72 72 CD A52264 1385 32 deg deg NN A52264 1385 33 . . . A52264 1386 1 40 40 CD A52264 1386 2 min min NN A52264 1386 3 . . . A52264 1387 1 the the DT A52264 1387 2 complement complement NN A52264 1387 3 of of IN A52264 1387 4 the the DT A52264 1387 5 obtuse obtuse JJ A52264 1387 6 angle angle NN A52264 1387 7 ABC ABC NNP A52264 1387 8 , , , A52264 1387 9 and and CC A52264 1387 10 the the DT A52264 1387 11 hypothehusal hypothehusal NN A52264 1387 12 BC BC NNP A52264 1387 13 57 57 CD A52264 1387 14 degrees degree NNS A52264 1387 15 53 53 CD A52264 1387 16 minutes minute NNS A52264 1387 17 : : : A52264 1387 18 to to TO A52264 1387 19 finde finde VB A52264 1387 20 BD BD NNP A52264 1387 21 , , , A52264 1387 22 I -PRON- PRP A52264 1387 23 say say VBP A52264 1387 24 first first RB A52264 1387 25 ; ; : A52264 1387 26 As as IN A52264 1387 27 the the DT A52264 1387 28 Radius Radius NNP A52264 1387 29 90 90 CD A52264 1387 30 , , , A52264 1387 31 10.000000 10.000000 CD A52264 1387 32 Is be VBZ A52264 1387 33 to to IN A52264 1387 34 the the DT A52264 1387 35 co co NN A52264 1387 36 - - NN A52264 1387 37 sine sine NN A52264 1387 38 of of IN A52264 1387 39 DBC DBC NNP A52264 1387 40 72.40 72.40 CD A52264 1387 41 . . . A52264 1388 1 9.480539 9.480539 CD A52264 1388 2 So so RB A52264 1388 3 is be VBZ A52264 1388 4 the the DT A52264 1388 5 tangent tangent NN A52264 1388 6 of of IN A52264 1388 7 BC BC NNP A52264 1388 8 57.53 57.53 CD A52264 1388 9 . . . A52264 1389 1 10.196314 10.196314 CD A52264 1389 2 To to IN A52264 1389 3 the the DT A52264 1389 4 tangent tangent NN A52264 1389 5 of of IN A52264 1389 6 BD BD NNP A52264 1389 7 25.42 25.42 CD A52264 1389 8 . . . A52264 1390 1 9.676853 9.676853 CD A52264 1390 2 Now now RB A52264 1390 3 because because IN A52264 1390 4 the the DT A52264 1390 5 perpendicular perpendicular JJ A52264 1390 6 falls fall VBZ A52264 1390 7 without without IN A52264 1390 8 the the DT A52264 1390 9 triangle triangle NN A52264 1390 10 , , , A52264 1390 11 and and CC A52264 1390 12 the the DT A52264 1390 13 contained contained JJ A52264 1390 14 angle angle NN A52264 1390 15 obtuse obtuse NN A52264 1390 16 , , , A52264 1390 17 I -PRON- PRP A52264 1390 18 adde adde VBP A52264 1390 19 BD BD NNP A52264 1390 20 25 25 CD A52264 1390 21 degrees degree NNS A52264 1390 22 , , , A52264 1390 23 42 42 CD A52264 1390 24 minutes minute NNS A52264 1390 25 to to IN A52264 1390 26 AB AB NNP A52264 1390 27 38 38 CD A52264 1390 28 deg deg NN A52264 1390 29 . . . A52264 1391 1 47 47 CD A52264 1391 2 min min NN A52264 1391 3 . . . A52264 1392 1 and and CC A52264 1392 2 their -PRON- PRP$ A52264 1392 3 aggregate aggregate NN A52264 1392 4 is be VBZ A52264 1392 5 AD ad NN A52264 1392 6 63 63 CD A52264 1392 7 deg deg NN A52264 1392 8 . . . A52264 1393 1 89 89 CD A52264 1393 2 min min NN A52264 1393 3 . . . A52264 1394 1 the the DT A52264 1394 2 second second JJ A52264 1394 3 arch arch NN A52264 1394 4 : : : A52264 1394 5 hence hence RB A52264 1394 6 to to IN A52264 1394 7 finde finde NNP A52264 1394 8 AC AC NNP A52264 1394 9 , , , A52264 1394 10 I -PRON- PRP A52264 1394 11 say say VBP A52264 1394 12 , , , A52264 1394 13 As as IN A52264 1394 14 the the DT A52264 1394 15 co co NN A52264 1394 16 - - NN A52264 1394 17 sine sine NN A52264 1394 18 of of IN A52264 1394 19 BD BD NNP A52264 1394 20 , , , A52264 1394 21 25.42 25.42 CD A52264 1394 22 . . . A52264 1395 1 0.044223 0.044223 CD A52264 1395 2 Is be VBZ A52264 1395 3 to to IN A52264 1395 4 the the DT A52264 1395 5 co co NN A52264 1395 6 - - NN A52264 1395 7 sine sine NN A52264 1395 8 of of IN A52264 1395 9 63.89 63.89 CD A52264 1395 10 . . . A52264 1396 1 9.643547 9.643547 CD A52264 1396 2 So so RB A52264 1396 3 is be VBZ A52264 1396 4 the the DT A52264 1396 5 co co JJ A52264 1396 6 - - NN A52264 1396 7 sine sine NN A52264 1396 8 of of IN A52264 1396 9 BC BC NNP A52264 1396 10 57.53 57.53 CD A52264 1396 11 . . . A52264 1397 1 9.729859 9.729859 CD A52264 1397 2 To to IN A52264 1397 3 the the DT A52264 1397 4 co co NN A52264 1397 5 - - NN A52264 1397 6 sine sine NN A52264 1397 7 of of IN A52264 1397 8 AC AC NNP A52264 1397 9 74.84 74.84 CD A52264 1397 10 . . . A52264 1398 1 9.417629 9.417629 CD A52264 1398 2 3 3 CD A52264 1398 3 Example example NN A52264 1398 4 . . . A52264 1399 1 In in IN A52264 1399 2 this this DT A52264 1399 3 triangle triangle NN A52264 1399 4 , , , A52264 1399 5 let let VB A52264 1399 6 there there EX A52264 1399 7 be be VB A52264 1399 8 given give VBN A52264 1399 9 the the DT A52264 1399 10 side side NN A52264 1399 11 BC BC NNP A52264 1399 12 57 57 CD A52264 1399 13 deg deg NNP A52264 1399 14 . . . A52264 1400 1 53 53 CD A52264 1400 2 min min NN A52264 1400 3 . . . A52264 1401 1 the the DT A52264 1401 2 side side NN A52264 1401 3 AC AC NNP A52264 1401 4 74 74 CD A52264 1401 5 deg deg NN A52264 1401 6 . . . A52264 1402 1 84 84 CD A52264 1402 2 min min NN A52264 1402 3 . . . A52264 1403 1 and and CC A52264 1403 2 their -PRON- PRP$ A52264 1403 3 contained contained JJ A52264 1403 4 angle angle NN A52264 1403 5 ACB ACB NNP A52264 1403 6 37 37 CD A52264 1403 7 deg deg NN A52264 1403 8 . . . A52264 1404 1 92 92 CD A52264 1404 2 min min NN A52264 1404 3 . . . A52264 1405 1 and and CC A52264 1405 2 let let VB A52264 1405 3 the the DT A52264 1405 4 side side NN A52264 1405 5 AB AB NNP A52264 1405 6 be be VB A52264 1405 7 sought seek VBN A52264 1405 8 . . . A52264 1406 1 First first RB A52264 1406 2 , , , A52264 1406 3 I -PRON- PRP A52264 1406 4 let let VBD A52264 1406 5 fall fall VB A52264 1406 6 the the DT A52264 1406 7 perpendicular perpendicular JJ A52264 1406 8 AE AE NNP A52264 1406 9 , , , A52264 1406 10 and and CC A52264 1406 11 the the DT A52264 1406 12 side side NN A52264 1406 13 BC BC NNP A52264 1406 14 I -PRON- PRP A52264 1406 15 continue continue VBP A52264 1406 16 to to TO A52264 1406 17 E e VB A52264 1406 18 , , , A52264 1406 19 then then RB A52264 1406 20 in in IN A52264 1406 21 the the DT A52264 1406 22 right right NN A52264 1406 23 angled angle VBN A52264 1406 24 triangle triangle NNP A52264 1406 25 AEC AEC NNP A52264 1406 26 , , , A52264 1406 27 we -PRON- PRP A52264 1406 28 have have VBP A52264 1406 29 known know VBN A52264 1406 30 the the DT A52264 1406 31 angle angle NN A52264 1406 32 ACE ACE NNP A52264 1406 33 , , , A52264 1406 34 and and CC A52264 1406 35 the the DT A52264 1406 36 hypothenus hypothenus NN A52264 1406 37 ; ; : A52264 1406 38 al al NNP A52264 1406 39 AC AC NNP A52264 1406 40 , , , A52264 1406 41 to to IN A52264 1406 42 finde finde NNP A52264 1406 43 EC EC NNP A52264 1406 44 , , , A52264 1406 45 I -PRON- PRP A52264 1406 46 say say VBP A52264 1406 47 then then RB A52264 1406 48 : : : A52264 1406 49 As as IN A52264 1406 50 the the DT A52264 1406 51 Radius Radius NNP A52264 1406 52 90 90 CD A52264 1406 53 , , , A52264 1406 54 10.000000 10.000000 CD A52264 1406 55 Is be VBZ A52264 1406 56 to to IN A52264 1406 57 the the DT A52264 1406 58 co co NN A52264 1406 59 - - NN A52264 1406 60 sine sine NN A52264 1406 61 of of IN A52264 1406 62 ACE ACE NNP A52264 1406 63 37.92 37.92 CD A52264 1406 64 . . . A52264 1407 1 9.897005 9.897005 CD A52264 1407 2 So so RB A52264 1407 3 is be VBZ A52264 1407 4 the the DT A52264 1407 5 tangeent tangeent NN A52264 1407 6 of of IN A52264 1407 7 AC AC NNP A52264 1407 8 74.84 74.84 CD A52264 1407 9 . . . A52264 1408 1 10.567120 10.567120 CD A52264 1408 2 To to IN A52264 1408 3 the the DT A52264 1408 4 tangent tangent NN A52264 1408 5 of of IN A52264 1408 6 EC EC NNP A52264 1408 7 71.5 71.5 CD A52264 1408 8 . . . A52264 1409 1 10.464125 10.464125 CD A52264 1409 2 Now now RB A52264 1409 3 because because IN A52264 1409 4 the the DT A52264 1409 5 perpendicular perpendicular JJ A52264 1409 6 falls fall VBZ A52264 1409 7 without without IN A52264 1409 8 the the DT A52264 1409 9 tringle tringle NN A52264 1409 10 , , , A52264 1409 11 and and CC A52264 1409 12 the the DT A52264 1409 13 contained contained JJ A52264 1409 14 angle angle NN A52264 1409 15 acute acute NN A52264 1409 16 , , , A52264 1409 17 I -PRON- PRP A52264 1409 18 substract substract VBP A52264 1409 19 the the DT A52264 1409 20 arch arch NN A52264 1409 21 given give VBN A52264 1409 22 BC BC NNP A52264 1409 23 57 57 CD A52264 1409 24 degrees degree NNS A52264 1409 25 53 53 CD A52264 1409 26 minutes minute NNS A52264 1409 27 from from IN A52264 1409 28 EC EC NNP A52264 1409 29 71 71 CD A52264 1409 30 degrees degree NNS A52264 1409 31 5 5 CD A52264 1409 32 minutes minute NNS A52264 1409 33 , , , A52264 1409 34 the the DT A52264 1409 35 arch arch NN A52264 1409 36 found find VBD A52264 1409 37 , , , A52264 1409 38 and and CC A52264 1409 39 their -PRON- PRP$ A52264 1409 40 difference difference NN A52264 1409 41 13 13 CD A52264 1409 42 deg deg NN A52264 1409 43 . . . A52264 1410 1 52 52 CD A52264 1410 2 min min NN A52264 1410 3 . . . A52264 1411 1 is be VBZ A52264 1411 2 EB EB NNP A52264 1411 3 , , , A52264 1411 4 the the DT A52264 1411 5 second second JJ A52264 1411 6 arch arch NN A52264 1411 7 . . . A52264 1412 1 Hence hence RB A52264 1412 2 to to TO A52264 1412 3 finde finde NN A52264 1412 4 AB AB NNP A52264 1412 5 , , , A52264 1412 6 I -PRON- PRP A52264 1412 7 say say VBP A52264 1412 8 : : : A52264 1412 9 As as IN A52264 1412 10 the the DT A52264 1412 11 co co NN A52264 1412 12 - - NN A52264 1412 13 sine sine NN A52264 1412 14 of of IN A52264 1412 15 EC EC NNP A52264 1412 16 71.5 71.5 CD A52264 1412 17 . . . A52264 1413 1 co co NNP A52264 1413 2 . . . A52264 1414 1 ar ar NNP A52264 1414 2 . . . A52264 1415 1 0.488461 0.488461 CD A52264 1415 2 Is be VBZ A52264 1415 3 to to IN A52264 1415 4 the the DT A52264 1415 5 co co NN A52264 1415 6 - - NN A52264 1415 7 sine sine NN A52264 1415 8 of of IN A52264 1415 9 EB EB NNP A52264 1415 10 13.52 13.52 CD A52264 1415 11 . . . A52264 1416 1 9.987795 9.987795 CD A52264 1416 2 So so RB A52264 1416 3 is be VBZ A52264 1416 4 the the DT A52264 1416 5 co co JJ A52264 1416 6 - - NN A52264 1416 7 sine sine NN A52264 1416 8 of of IN A52264 1416 9 AC AC NNP A52264 1416 10 74.84 74.84 CD A52264 1416 11 . . . A52264 1417 1 9.417497 9.417497 CD A52264 1417 2 To to IN A52264 1417 3 the the DT A52264 1417 4 co co NN A52264 1417 5 - - NN A52264 1417 6 sine sine NN A52264 1417 7 of of IN A52264 1417 8 AB AB NNP A52264 1417 9 38.47 38.47 CD A52264 1417 10 . . . A52264 1418 1 9.893753 9.893753 CD A52264 1418 2 CASE case NN A52264 1418 3 4 4 CD A52264 1418 4 . . . A52264 1419 1 Two two CD A52264 1419 2 sides side NNS A52264 1419 3 and and CC A52264 1419 4 their -PRON- PRP$ A52264 1419 5 contained contain VBN A52264 1419 6 angle angle NN A52264 1419 7 given give VBN A52264 1419 8 , , , A52264 1419 9 to to IN A52264 1419 10 finde finde NNP A52264 1419 11 one one CD A52264 1419 12 of of IN A52264 1419 13 the the DT A52264 1419 14 other other JJ A52264 1419 15 angles angle NNS A52264 1419 16 . . . A52264 1420 1 First first RB A52264 1420 2 , , , A52264 1420 3 by by IN A52264 1420 4 the the DT A52264 1420 5 seventh seventh JJ A52264 1420 6 case case NN A52264 1420 7 of of IN A52264 1420 8 right right JJ A52264 1420 9 angled angle VBN A52264 1420 10 spherical spherical JJ A52264 1420 11 triangles triangle NNS A52264 1420 12 , , , A52264 1420 13 I -PRON- PRP A52264 1420 14 say say VBP A52264 1420 15 : : : A52264 1420 16 As as IN A52264 1420 17 Radius Radius NNP A52264 1420 18 , , , A52264 1420 19 to to IN A52264 1420 20 the the DT A52264 1420 21 co co NN A52264 1420 22 - - NN A52264 1420 23 sine sine NN A52264 1420 24 of of IN A52264 1420 25 the the DT A52264 1420 26 angle angle NN A52264 1420 27 at at IN A52264 1420 28 the the DT A52264 1420 29 base base NN A52264 1420 30 ; ; : A52264 1420 31 so so RB A52264 1420 32 is be VBZ A52264 1420 33 the the DT A52264 1420 34 tangent tangent NN A52264 1420 35 of of IN A52264 1420 36 the the DT A52264 1420 37 hypothenusal hypothenusal NN A52264 1420 38 , , , A52264 1420 39 to to IN A52264 1420 40 the the DT A52264 1420 41 tangent tangent NN A52264 1420 42 of of IN A52264 1420 43 the the DT A52264 1420 44 base base NN A52264 1420 45 , , , A52264 1420 46 or or CC A52264 1420 47 first first RB A52264 1420 48 arch arch NN A52264 1420 49 : : : A52264 1420 50 which which WDT A52264 1420 51 being be VBG A52264 1420 52 added add VBN A52264 1420 53 to to IN A52264 1420 54 , , , A52264 1420 55 or or CC A52264 1420 56 substracted substracte VBN A52264 1420 57 from from IN A52264 1420 58 the the DT A52264 1420 59 base base NN A52264 1420 60 given give VBN A52264 1420 61 , , , A52264 1420 62 according accord VBG A52264 1420 63 to to IN A52264 1420 64 those those DT A52264 1420 65 directions direction NNS A52264 1420 66 given give VBN A52264 1420 67 in in IN A52264 1420 68 the the DT A52264 1420 69 third third JJ A52264 1420 70 case case NN A52264 1420 71 , , , A52264 1420 72 giveth giveth VBZ A52264 1420 73 the the DT A52264 1420 74 second second JJ A52264 1420 75 arch arch NN A52264 1420 76 ; ; : A52264 1420 77 then then RB A52264 1420 78 by by IN A52264 1420 79 the the DT A52264 1420 80 second second JJ A52264 1420 81 Consectary Consectary NNP A52264 1420 82 of of IN A52264 1420 83 this this DT A52264 1420 84 Chapter chapter NN A52264 1420 85 , , , A52264 1420 86 the the DT A52264 1420 87 proportion proportion NN A52264 1420 88 is be VBZ A52264 1420 89 : : : A52264 1420 90 As as IN A52264 1420 91 the the DT A52264 1420 92 sine sine NN A52264 1420 93 of of IN A52264 1420 94 the the DT A52264 1420 95 first first JJ A52264 1420 96 base base NN A52264 1420 97 , , , A52264 1420 98 to to IN A52264 1420 99 the the DT A52264 1420 100 sine sine NN A52264 1420 101 of of IN A52264 1420 102 the the DT A52264 1420 103 second second NN A52264 1420 104 : : : A52264 1420 105 so so RB A52264 1420 106 is be VBZ A52264 1420 107 the the DT A52264 1420 108 co co JJ A52264 1420 109 - - NN A52264 1420 110 tangent tangent NN A52264 1420 111 of of IN A52264 1420 112 the the DT A52264 1420 113 first first JJ A52264 1420 114 angle angle NN A52264 1420 115 at at IN A52264 1420 116 the the DT A52264 1420 117 base base NN A52264 1420 118 , , , A52264 1420 119 to to IN A52264 1420 120 the the DT A52264 1420 121 co co NN A52264 1420 122 - - NN A52264 1420 123 tangent tangent NN A52264 1420 124 of of IN A52264 1420 125 the the DT A52264 1420 126 second second JJ A52264 1420 127 . . . A52264 1421 1 1 1 CD A52264 1421 2 Example example NN A52264 1421 3 . . . A52264 1422 1 Thus thus RB A52264 1422 2 if if IN A52264 1422 3 there there EX A52264 1422 4 were be VBD A52264 1422 5 given give VBN A52264 1422 6 , , , A52264 1422 7 as as IN A52264 1422 8 in in IN A52264 1422 9 the the DT A52264 1422 10 first first JJ A52264 1422 11 example example NN A52264 1422 12 of of IN A52264 1422 13 the the DT A52264 1422 14 last last JJ A52264 1422 15 case case NN A52264 1422 16 , , , A52264 1422 17 the the DT A52264 1422 18 side side NN A52264 1422 19 AB AB NNP A52264 1422 20 38 38 CD A52264 1422 21 degrees degree NNS A52264 1422 22 , , , A52264 1422 23 47 47 CD A52264 1422 24 minutes minute NNS A52264 1422 25 , , , A52264 1422 26 the the DT A52264 1422 27 side side NN A52264 1422 28 AC AC NNP A52264 1422 29 74 74 CD A52264 1422 30 degrees degree NNS A52264 1422 31 , , , A52264 1422 32 84 84 CD A52264 1422 33 minutes minute NNS A52264 1422 34 , , , A52264 1422 35 and and CC A52264 1422 36 their -PRON- PRP$ A52264 1422 37 conteined conteined JJ A52264 1422 38 angle angle NN A52264 1422 39 BAC BAC NNP A52264 1422 40 56 56 CD A52264 1422 41 degrees degree NNS A52264 1422 42 , , , A52264 1422 43 44 44 CD A52264 1422 44 min min NN A52264 1422 45 . . . A52264 1423 1 and and CC A52264 1423 2 ACB ACB NNP A52264 1423 3 , , , A52264 1423 4 the the DT A52264 1423 5 angle angle NN A52264 1423 6 sought seek VBD A52264 1423 7 , , , A52264 1423 8 the the DT A52264 1423 9 first first JJ A52264 1423 10 operation operation NN A52264 1423 11 will will MD A52264 1423 12 in in IN A52264 1423 13 all all DT A52264 1423 14 things thing NNS A52264 1423 15 be be VB A52264 1423 16 the the DT A52264 1423 17 same same JJ A52264 1423 18 , , , A52264 1423 19 and and CC A52264 1423 20 AF AF NNP A52264 1423 21 23 23 CD A52264 1423 22 degrees degree NNS A52264 1423 23 , , , A52264 1423 24 72 72 CD A52264 1423 25 minutes minute NNS A52264 1423 26 , , , A52264 1423 27 the the DT A52264 1423 28 first first JJ A52264 1423 29 arch arch NN A52264 1423 30 , , , A52264 1423 31 FC FC NNP A52264 1423 32 51 51 CD A52264 1423 33 degrees degree NNS A52264 1423 34 , , , A52264 1423 35 12 12 CD A52264 1423 36 minutes minute NNS A52264 1423 37 , , , A52264 1423 38 the the DT A52264 1423 39 second second JJ A52264 1423 40 ; ; : A52264 1423 41 hence hence RB A52264 1423 42 to to TO A52264 1423 43 finde finde VB A52264 1423 44 the the DT A52264 1423 45 angle angle NN A52264 1423 46 ACB ACB NNP A52264 1423 47 , , , A52264 1423 48 I -PRON- PRP A52264 1423 49 say say VBP A52264 1423 50 : : : A52264 1423 51 As as IN A52264 1423 52 the the DT A52264 1423 53 sine sine NN A52264 1423 54 of of IN A52264 1423 55 AF AF NNP A52264 1423 56 23.72 23.72 CD A52264 1423 57 . . . A52264 1424 1 co co NNP A52264 1424 2 . . . A52264 1425 1 ar ar NNP A52264 1425 2 . . . A52264 1426 1 0.395486 0.395486 CD A52264 1426 2 To to IN A52264 1426 3 the the DT A52264 1426 4 sine sine NN A52264 1426 5 of of IN A52264 1426 6 FC FC NNP A52264 1426 7 51.12 51.12 CD A52264 1426 8 . . . A52264 1427 1 9.891237 9.891237 CD A52264 1427 2 So so RB A52264 1427 3 is be VBZ A52264 1427 4 the the DT A52264 1427 5 co co JJ A52264 1427 6 - - NN A52264 1427 7 tang tang JJ A52264 1427 8 . . . A52264 1428 1 of of IN A52264 1428 2 BAC BAC NNP A52264 1428 3 56.44 56.44 CD A52264 1428 4 . . . A52264 1429 1 9.821771 9.821771 CD A52264 1429 2 To to IN A52264 1429 3 the the DT A52264 1429 4 co co NN A52264 1429 5 - - NN A52264 1429 6 tangent tangent NN A52264 1429 7 of of IN A52264 1429 8 ACB ACB NNP A52264 1429 9 37.92 37.92 CD A52264 1429 10 . . . A52264 1430 1 10.108494 10.108494 CD A52264 1430 2 There there EX A52264 1430 3 being be VBG A52264 1430 4 no no DT A52264 1430 5 other other JJ A52264 1430 6 variation variation NN A52264 1430 7 in in IN A52264 1430 8 this this DT A52264 1430 9 case case NN A52264 1430 10 then then RB A52264 1430 11 what what WP A52264 1430 12 hath hath NNP A52264 1430 13 been be VBN A52264 1430 14 shewed shew VBN A52264 1430 15 in in IN A52264 1430 16 the the DT A52264 1430 17 former former JJ A52264 1430 18 , , , A52264 1430 19 one one CD A52264 1430 20 example example NN A52264 1430 21 will will MD A52264 1430 22 be be VB A52264 1430 23 sufficient sufficient JJ A52264 1430 24 . . . A52264 1431 1 CASE CASE NNP A52264 1431 2 5 5 CD A52264 1431 3 . . . A52264 1432 1 Two two CD A52264 1432 2 angles angle NNS A52264 1432 3 , , , A52264 1432 4 and and CC A52264 1432 5 the the DT A52264 1432 6 side side NN A52264 1432 7 between between IN A52264 1432 8 them -PRON- PRP A52264 1432 9 given give VBN A52264 1432 10 , , , A52264 1432 11 to to TO A52264 1432 12 finde finde NNP A52264 1432 13 the the DT A52264 1432 14 third third JJ A52264 1432 15 angle angle NN A52264 1432 16 . . . A52264 1433 1 First first RB A52264 1433 2 , , , A52264 1433 3 by by IN A52264 1433 4 the the DT A52264 1433 5 ninth ninth JJ A52264 1433 6 case case NN A52264 1433 7 of of IN A52264 1433 8 right right JJ A52264 1433 9 angled angle VBN A52264 1433 10 spherical spherical JJ A52264 1433 11 triangles triangle NNS A52264 1433 12 , , , A52264 1433 13 the the DT A52264 1433 14 proportion proportion NN A52264 1433 15 is be VBZ A52264 1433 16 ; ; : A52264 1433 17 As as IN A52264 1433 18 Radius Radius NNP A52264 1433 19 , , , A52264 1433 20 to to IN A52264 1433 21 the the DT A52264 1433 22 co co NN A52264 1433 23 - - NN A52264 1433 24 sine sine NN A52264 1433 25 of of IN A52264 1433 26 the the DT A52264 1433 27 hypothenusal hypothenusal NN A52264 1433 28 ; ; : A52264 1433 29 so so CC A52264 1433 30 the the DT A52264 1433 31 tangent tangent NN A52264 1433 32 of of IN A52264 1433 33 the the DT A52264 1433 34 angle angle NN A52264 1433 35 at at IN A52264 1433 36 the the DT A52264 1433 37 base base NN A52264 1433 38 , , , A52264 1433 39 to to IN A52264 1433 40 the the DT A52264 1433 41 co co NN A52264 1433 42 - - NN A52264 1433 43 tangent tangent NN A52264 1433 44 of of IN A52264 1433 45 the the DT A52264 1433 46 angle angle NN A52264 1433 47 at at IN A52264 1433 48 the the DT A52264 1433 49 perpendicular perpendicular NN A52264 1433 50 , , , A52264 1433 51 which which WDT A52264 1433 52 being be VBG A52264 1433 53 added add VBN A52264 1433 54 to to IN A52264 1433 55 , , , A52264 1433 56 or or CC A52264 1433 57 substracted substracte VBN A52264 1433 58 from from IN A52264 1433 59 the the DT A52264 1433 60 other other JJ A52264 1433 61 given give VBN A52264 1433 62 angle angle NN A52264 1433 63 , , , A52264 1433 64 according accord VBG A52264 1433 65 to to IN A52264 1433 66 the the DT A52264 1433 67 following follow VBG A52264 1433 68 direction direction NN A52264 1433 69 , , , A52264 1433 70 giveth giveth VBZ A52264 1433 71 the the DT A52264 1433 72 second second JJ A52264 1433 73 arch arch NN A52264 1433 74 . . . A52264 1434 1 If if IN A52264 1434 2 the the DT A52264 1434 3 perpendicular perpendicular JJ A52264 1434 4 fall fall NN A52264 1434 5 Within within IN A52264 1434 6 the the DT A52264 1434 7 triangle triangle NN A52264 1434 8 , , , A52264 1434 9 substract substract VB A52264 1434 10 the the DT A52264 1434 11 angle angle NN A52264 1434 12 found find VBN A52264 1434 13 from from IN A52264 1434 14 the the DT A52264 1434 15 angle angle NN A52264 1434 16 given give VBN A52264 1434 17 , , , A52264 1434 18 the the DT A52264 1434 19 remainer remainer NN A52264 1434 20 is be VBZ A52264 1434 21 the the DT A52264 1434 22 second second JJ A52264 1434 23 arch arch NN A52264 1434 24 . . . A52264 1435 1 Without without IN A52264 1435 2 , , , A52264 1435 3 and and CC A52264 1435 4 both both CC A52264 1435 5 the the DT A52264 1435 6 angles angle NNS A52264 1435 7 given give VBN A52264 1435 8 acute acute JJ A52264 1435 9 , , , A52264 1435 10 substract substract VB A52264 1435 11 the the DT A52264 1435 12 angle angle NN A52264 1435 13 given give VBN A52264 1435 14 from from IN A52264 1435 15 the the DT A52264 1435 16 angle angle NN A52264 1435 17 found find VBN A52264 1435 18 , , , A52264 1435 19 and and CC A52264 1435 20 the the DT A52264 1435 21 remainer remainer NN A52264 1435 22 is be VBZ A52264 1435 23 the the DT A52264 1435 24 second second JJ A52264 1435 25 arch arch NN A52264 1435 26 . . . A52264 1436 1 Without without IN A52264 1436 2 , , , A52264 1436 3 and and CC A52264 1436 4 one one CD A52264 1436 5 of of IN A52264 1436 6 the the DT A52264 1436 7 angles angle NNS A52264 1436 8 given give VBN A52264 1436 9 be be VBP A52264 1436 10 obtuse obtuse JJ A52264 1436 11 , , , A52264 1436 12 adde adde VB A52264 1436 13 the the DT A52264 1436 14 angle angle NN A52264 1436 15 found find VBN A52264 1436 16 to to IN A52264 1436 17 the the DT A52264 1436 18 angle angle NN A52264 1436 19 given give VBN A52264 1436 20 , , , A52264 1436 21 & & CC A52264 1436 22 their -PRON- PRP$ A52264 1436 23 aggregate aggregate NN A52264 1436 24 is be VBZ A52264 1436 25 the the DT A52264 1436 26 second second JJ A52264 1436 27 arch arch NN A52264 1436 28 . . . A52264 1437 1 Then then RB A52264 1437 2 , , , A52264 1437 3 by by IN A52264 1437 4 the the DT A52264 1437 5 third third JJ A52264 1437 6 Consectary Consectary NNP A52264 1437 7 of of IN A52264 1437 8 this this DT A52264 1437 9 Chapter chapter NN A52264 1437 10 , , , A52264 1437 11 the the DT A52264 1437 12 analogie analogie NN A52264 1437 13 is be VBZ A52264 1437 14 ; ; : A52264 1437 15 As as IN A52264 1437 16 the the DT A52264 1437 17 sine sine NN A52264 1437 18 of of IN A52264 1437 19 the the DT A52264 1437 20 first first JJ A52264 1437 21 at at IN A52264 1437 22 the the DT A52264 1437 23 perpendicular perpendicular NN A52264 1437 24 , , , A52264 1437 25 to to IN A52264 1437 26 the the DT A52264 1437 27 sine sine NN A52264 1437 28 of of IN A52264 1437 29 the the DT A52264 1437 30 second second JJ A52264 1437 31 angle angle NN A52264 1437 32 sound sound NN A52264 1437 33 : : : A52264 1437 34 so so RB A52264 1437 35 is be VBZ A52264 1437 36 the the DT A52264 1437 37 co co JJ A52264 1437 38 - - NN A52264 1437 39 sine sine NN A52264 1437 40 of of IN A52264 1437 41 the the DT A52264 1437 42 first first JJ A52264 1437 43 angle angle NN A52264 1437 44 at at IN A52264 1437 45 the the DT A52264 1437 46 base base NN A52264 1437 47 , , , A52264 1437 48 to to IN A52264 1437 49 the the DT A52264 1437 50 co co NN A52264 1437 51 - - NN A52264 1437 52 sine sine NN A52264 1437 53 of of IN A52264 1437 54 the the DT A52264 1437 55 second second JJ A52264 1437 56 . . . A52264 1438 1 1 1 CD A52264 1438 2 Example example NN A52264 1438 3 . . . A52264 1439 1 In in IN A52264 1439 2 the the DT A52264 1439 3 triangle triangle NN A52264 1439 4 ABC ABC NNP A52264 1439 5 , , , A52264 1439 6 let let VB A52264 1439 7 there there EX A52264 1439 8 be be VB A52264 1439 9 given give VBN A52264 1439 10 the the DT A52264 1439 11 angles angle NNS A52264 1439 12 BAC BAC NNP A52264 1439 13 56 56 CD A52264 1439 14 degrees degree NNS A52264 1439 15 44 44 CD A52264 1439 16 minutes minute NNS A52264 1439 17 , , , A52264 1439 18 and and CC A52264 1439 19 ABC ABC NNP A52264 1439 20 107 107 CD A52264 1439 21 degrees degree NNS A52264 1439 22 , , , A52264 1439 23 60 60 CD A52264 1439 24 minutes minute NNS A52264 1439 25 , , , A52264 1439 26 and and CC A52264 1439 27 the the DT A52264 1439 28 side side NN A52264 1439 29 between between IN A52264 1439 30 them -PRON- PRP A52264 1439 31 AB AB NNP A52264 1439 32 38 38 CD A52264 1439 33 degrees degree NNS A52264 1439 34 47 47 CD A52264 1439 35 minutes minute NNS A52264 1439 36 , , , A52264 1439 37 to to TO A52264 1439 38 finde finde VB A52264 1439 39 the the DT A52264 1439 40 angle angle NN A52264 1439 41 ACB ACB NNP A52264 1439 42 . . . A52264 1440 1 First first RB A52264 1440 2 , , , A52264 1440 3 let let VB A52264 1440 4 fall fall VB A52264 1440 5 the the DT A52264 1440 6 perpendicular perpendicular JJ A52264 1440 7 BF BF NNP A52264 1440 8 , , , A52264 1440 9 and and CC A52264 1440 10 then then RB A52264 1440 11 in in IN A52264 1440 12 the the DT A52264 1440 13 right right NN A52264 1440 14 angled angle VBN A52264 1440 15 spherical spherical JJ A52264 1440 16 triangle triangle NN A52264 1440 17 ABF ABF NNP A52264 1440 18 we -PRON- PRP A52264 1440 19 have have VBP A52264 1440 20 known know VBN A52264 1440 21 the the DT A52264 1440 22 angle angle NN A52264 1440 23 at at IN A52264 1440 24 the the DT A52264 1440 25 base base NN A52264 1440 26 BAF BAF NNP A52264 1440 27 , , , A52264 1440 28 and and CC A52264 1440 29 the the DT A52264 1440 30 hypothenusal hypothenusal NN A52264 1440 31 AB AB NNP A52264 1440 32 , , , A52264 1440 33 to to TO A52264 1440 34 finde finde VB A52264 1440 35 the the DT A52264 1440 36 angle angle NN A52264 1440 37 at at IN A52264 1440 38 the the DT A52264 1440 39 perpendicular perpendicular JJ A52264 1440 40 ABF ABF NNP A52264 1440 41 . . . A52264 1441 1 First first RB A52264 1441 2 , , , A52264 1441 3 then then RB A52264 1441 4 I -PRON- PRP A52264 1441 5 say say VBP A52264 1441 6 : : : A52264 1441 7 As as IN A52264 1441 8 the the DT A52264 1441 9 Radius Radius NNP A52264 1441 10 90 90 CD A52264 1441 11 , , , A52264 1441 12 10.000000 10.000000 CD A52264 1441 13 To to IN A52264 1441 14 the the DT A52264 1441 15 co co NN A52264 1441 16 - - NN A52264 1441 17 sine sine NN A52264 1441 18 of of IN A52264 1441 19 AB AB NNP A52264 1441 20 38.47 38.47 CD A52264 1441 21 . . . A52264 1442 1 9.893725 9.893725 CD A52264 1442 2 So so RB A52264 1442 3 is be VBZ A52264 1442 4 the the DT A52264 1442 5 tangent tangent NN A52264 1442 6 of of IN A52264 1442 7 BAF BAF NNP A52264 1442 8 56.44 56.44 CD A52264 1442 9 . . . A52264 1443 1 10.178229 10.178229 CD A52264 1443 2 To to IN A52264 1443 3 the the DT A52264 1443 4 co co NN A52264 1443 5 - - NN A52264 1443 6 tangent tangent NN A52264 1443 7 of of IN A52264 1443 8 ABF ABF NNP A52264 1443 9 40.28 40.28 CD A52264 1443 10 . . . A52264 1444 1 10.071954 10.071954 CD A52264 1444 2 Let let VB A52264 1444 3 there there EX A52264 1444 4 be be VB A52264 1444 5 given give VBN A52264 1444 6 , , , A52264 1444 7 as as IN A52264 1444 8 before before RB A52264 1444 9 , , , A52264 1444 10 the the DT A52264 1444 11 two two CD A52264 1444 12 angles angle NNS A52264 1444 13 BAC BAC NNP A52264 1444 14 and and CC A52264 1444 15 ABC ABC NNP A52264 1444 16 , , , A52264 1444 17 with with IN A52264 1444 18 the the DT A52264 1444 19 side side NN A52264 1444 20 between between IN A52264 1444 21 them -PRON- PRP A52264 1444 22 AB AB NNP A52264 1444 23 , , , A52264 1444 24 to to TO A52264 1444 25 finde finde VB A52264 1444 26 the the DT A52264 1444 27 angle angle NN A52264 1444 28 ACB ACB NNP A52264 1444 29 , , , A52264 1444 30 and and CC A52264 1444 31 let let VB A52264 1444 32 the the DT A52264 1444 33 perpendicular perpendicular JJ A52264 1444 34 EA ea NN A52264 1444 35 , , , A52264 1444 36 and and CC A52264 1444 37 let let VB A52264 1444 38 the the DT A52264 1444 39 side side NN A52264 1444 40 BC BC NNP A52264 1444 41 be be VB A52264 1444 42 continued continue VBN A52264 1444 43 to to TO A52264 1444 44 E e NN A52264 1444 45 , , , A52264 1444 46 then then RB A52264 1444 47 in in IN A52264 1444 48 the the DT A52264 1444 49 right right NN A52264 1444 50 angled angle VBN A52264 1444 51 triangle triangle NN A52264 1444 52 AEB AEB NNP A52264 1444 53 we -PRON- PRP A52264 1444 54 have have VBP A52264 1444 55 known know VBN A52264 1444 56 the the DT A52264 1444 57 hypothenusal hypothenusal NN A52264 1444 58 AB AB NNP A52264 1444 59 38 38 CD A52264 1444 60 degrees degree NNS A52264 1444 61 , , , A52264 1444 62 47 47 CD A52264 1444 63 minutes minute NNS A52264 1444 64 , , , A52264 1444 65 and and CC A52264 1444 66 the the DT A52264 1444 67 angle angle NN A52264 1444 68 at at IN A52264 1444 69 the the DT A52264 1444 70 base base NN A52264 1444 71 ABE ABE NNP A52264 1444 72 72 72 CD A52264 1444 73 degrees degree NNS A52264 1444 74 , , , A52264 1444 75 40 40 CD A52264 1444 76 minutes minute NNS A52264 1444 77 , , , A52264 1444 78 the the DT A52264 1444 79 complement complement NN A52264 1444 80 of of IN A52264 1444 81 the the DT A52264 1444 82 obtuse obtuse JJ A52264 1444 83 angle angle NN A52264 1444 84 ABC ABC NNP A52264 1444 85 , , , A52264 1444 86 to to TO A52264 1444 87 finde finde VB A52264 1444 88 the the DT A52264 1444 89 angle angle NN A52264 1444 90 EAB eab NN A52264 1444 91 . . . A52264 1445 1 First first RB A52264 1445 2 then then RB A52264 1445 3 I -PRON- PRP A52264 1445 4 say say VBP A52264 1445 5 : : : A52264 1445 6 As as IN A52264 1445 7 the the DT A52264 1445 8 Radius Radius NNP A52264 1445 9 90 90 CD A52264 1445 10 . . . A52264 1446 1 10,000000 10,000000 LS A52264 1446 2 To to IN A52264 1446 3 the the DT A52264 1446 4 co co NN A52264 1446 5 - - NN A52264 1446 6 sine sine NN A52264 1446 7 of of IN A52264 1446 8 AB AB NNP A52264 1446 9 38.47 38.47 CD A52264 1446 10 . . . A52264 1447 1 9.893725 9.893725 CD A52264 1447 2 So so RB A52264 1447 3 is be VBZ A52264 1447 4 the the DT A52264 1447 5 tangent tangent NN A52264 1447 6 of of IN A52264 1447 7 ABE ABE NNP A52264 1447 8 72.40 72.40 CD A52264 1447 9 . . . A52264 1448 1 10.498641 10.498641 CD A52264 1448 2 To to IN A52264 1448 3 the the DT A52264 1448 4 co co NN A52264 1448 5 - - NN A52264 1448 6 tangent tangent NN A52264 1448 7 of of IN A52264 1448 8 EAB EAB NNP A52264 1448 9 22.6 22.6 CD A52264 1448 10 . . . A52264 1449 1 10.392366 10.392366 CD A52264 1449 2 And and CC A52264 1449 3 because because IN A52264 1449 4 the the DT A52264 1449 5 perpendicular perpendicular JJ A52264 1449 6 falls fall VBZ A52264 1449 7 without without IN A52264 1449 8 the the DT A52264 1449 9 triangle triangle NN A52264 1449 10 , , , A52264 1449 11 and and CC A52264 1449 12 one one CD A52264 1449 13 of of IN A52264 1449 14 the the DT A52264 1449 15 angles angle NNS A52264 1449 16 given give VBN A52264 1449 17 obtuse obtuse NN A52264 1449 18 , , , A52264 1449 19 I -PRON- PRP A52264 1449 20 adde adde VBP A52264 1449 21 the the DT A52264 1449 22 angle angle NN A52264 1449 23 found find VBD A52264 1449 24 EAB EAB NNP A52264 1449 25 22 22 CD A52264 1449 26 degrees degree NNS A52264 1449 27 6 6 CD A52264 1449 28 minutes minute NNS A52264 1449 29 to to IN A52264 1449 30 the the DT A52264 1449 31 angle angle NN A52264 1449 32 given give VBN A52264 1449 33 BAC BAC NNP A52264 1449 34 56 56 CD A52264 1449 35 degrees degree NNS A52264 1449 36 , , , A52264 1449 37 44 44 CD A52264 1449 38 minutes minute NNS A52264 1449 39 , , , A52264 1449 40 and and CC A52264 1449 41 their -PRON- PRP$ A52264 1449 42 aggregate aggregate JJ A52264 1449 43 78 78 CD A52264 1449 44 degrees degree NNS A52264 1449 45 50 50 CD A52264 1449 46 minutes minute NNS A52264 1449 47 is be VBZ A52264 1449 48 the the DT A52264 1449 49 angle angle NN A52264 1449 50 EAC EAC NNP A52264 1449 51 , , , A52264 1449 52 the the DT A52264 1449 53 second second JJ A52264 1449 54 arch arch NN A52264 1449 55 ; ; : A52264 1449 56 and and CC A52264 1449 57 hence hence RB A52264 1449 58 to to TO A52264 1449 59 finde finde VB A52264 1449 60 the the DT A52264 1449 61 angle angle NN A52264 1449 62 at at IN A52264 1449 63 C C NNP A52264 1449 64 , , , A52264 1449 65 I -PRON- PRP A52264 1449 66 say say VBP A52264 1449 67 , , , A52264 1449 68 as as IN A52264 1449 69 before before RB A52264 1449 70 . . . A52264 1450 1 As as IN A52264 1450 2 the the DT A52264 1450 3 sine sine NN A52264 1450 4 of of IN A52264 1450 5 EAB EAB NNP A52264 1450 6 22.6 22.6 CD A52264 1450 7 . . . A52264 1451 1 co co NNP A52264 1451 2 . . . A52264 1452 1 ar ar NNP A52264 1452 2 . . . A52264 1453 1 0.425300 0.425300 CD A52264 1453 2 To to IN A52264 1453 3 the the DT A52264 1453 4 sine sine NN A52264 1453 5 of of IN A52264 1453 6 EAC EAC NNP A52264 1453 7 78 78 CD A52264 1453 8 . . . A52264 1454 1 5 5 CD A52264 1454 2 ● ● CD A52264 1454 3 9.991194 9.991194 CD A52264 1454 4 So so RB A52264 1454 5 is be VBZ A52264 1454 6 the the DT A52264 1454 7 co co JJ A52264 1454 8 - - NN A52264 1454 9 sine sine NN A52264 1454 10 of of IN A52264 1454 11 ABE ABE NNP A52264 1454 12 72.40 72.40 CD A52264 1454 13 . . . A52264 1455 1 9.480538 9.480538 CD A52264 1455 2 To to IN A52264 1455 3 the the DT A52264 1455 4 co co NN A52264 1455 5 - - NN A52264 1455 6 sine sine NN A52264 1455 7 of of IN A52264 1455 8 ACB ACB NNP A52264 1455 9 37.92 37.92 CD A52264 1455 10 . . . A52264 1456 1 9.897032 9.897032 CD A52264 1456 2 3 3 CD A52264 1456 3 Example example NN A52264 1456 4 . . . A52264 1457 1 Let let VB A52264 1457 2 there there EX A52264 1457 3 be be VB A52264 1457 4 given give VBN A52264 1457 5 the the DT A52264 1457 6 angles angle NNS A52264 1457 7 BAC BAC NNP A52264 1457 8 56 56 CD A52264 1457 9 degrees degree NNS A52264 1457 10 44 44 CD A52264 1457 11 minutes minute NNS A52264 1457 12 , , , A52264 1457 13 and and CC A52264 1457 14 ACB ACB NNP A52264 1457 15 37 37 CD A52264 1457 16 degrees degree NNS A52264 1457 17 , , , A52264 1457 18 92 92 CD A52264 1457 19 minutes minute NNS A52264 1457 20 , , , A52264 1457 21 with with IN A52264 1457 22 their -PRON- PRP$ A52264 1457 23 contained contain VBN A52264 1457 24 side side NN A52264 1457 25 AC AC NNP A52264 1457 26 74 74 CD A52264 1457 27 degres degre NNS A52264 1457 28 , , , A52264 1457 29 84 84 CD A52264 1457 30 minutes minute NNS A52264 1457 31 , , , A52264 1457 32 to to TO A52264 1457 33 finde finde VB A52264 1457 34 the the DT A52264 1457 35 angle angle NN A52264 1457 36 ABC ABC NNP A52264 1457 37 , , , A52264 1457 38 let let VBD A52264 1457 39 fall fall VB A52264 1457 40 the the DT A52264 1457 41 perpendicular perpendicular JJ A52264 1457 42 CD CD NNP A52264 1457 43 , , , A52264 1457 44 and and CC A52264 1457 45 let let VB A52264 1457 46 the the DT A52264 1457 47 side side NN A52264 1457 48 AB AB NNP A52264 1457 49 be be VB A52264 1457 50 continued continue VBN A52264 1457 51 to to IN A52264 1457 52 D d NN A52264 1457 53 , , , A52264 1457 54 then then RB A52264 1457 55 in in IN A52264 1457 56 the the DT A52264 1457 57 right right NN A52264 1457 58 angled angle VBN A52264 1457 59 triangle triangle NN A52264 1457 60 ADC ADC NNP A52264 1457 61 , , , A52264 1457 62 we -PRON- PRP A52264 1457 63 have have VBP A52264 1457 64 known know VBN A52264 1457 65 the the DT A52264 1457 66 hypothenusal hypothenusal NN A52264 1457 67 AC AC NNP A52264 1457 68 , , , A52264 1457 69 and and CC A52264 1457 70 the the DT A52264 1457 71 angle angle NN A52264 1457 72 at at IN A52264 1457 73 the the DT A52264 1457 74 base base NN A52264 1457 75 DAC DAC NNP A52264 1457 76 , , , A52264 1457 77 to to IN A52264 1457 78 finde finde NNP A52264 1457 79 ACD ACD NNP A52264 1457 80 ; ; : A52264 1457 81 first first RB A52264 1457 82 , , , A52264 1457 83 then then RB A52264 1457 84 I -PRON- PRP A52264 1457 85 say say VBP A52264 1457 86 ; ; : A52264 1457 87 As as IN A52264 1457 88 the the DT A52264 1457 89 Radius Radius NNP A52264 1457 90 90 90 CD A52264 1457 91 10.000000 10.000000 CD A52264 1457 92 To to IN A52264 1457 93 the the DT A52264 1457 94 co co NN A52264 1457 95 - - NN A52264 1457 96 sine sine NN A52264 1457 97 of of IN A52264 1457 98 AC AC NNP A52264 1457 99 74.84 74.84 CD A52264 1457 100 . . . A52264 1458 1 9.417497 9.417497 CD A52264 1458 2 So so RB A52264 1458 3 is be VBZ A52264 1458 4 the the DT A52264 1458 5 tangent tangent NN A52264 1458 6 of of IN A52264 1458 7 DAC DAC NNP A52264 1458 8 56.44 56.44 CD A52264 1458 9 . . . A52264 1459 1 10.178229 10.178229 CD A52264 1459 2 To to IN A52264 1459 3 the the DT A52264 1459 4 co co JJ A52264 1459 5 - - NN A52264 1459 6 tangent tangent NN A52264 1459 7 of of IN A52264 1459 8 ACD ACD NNP A52264 1459 9 68.48 68.48 CD A52264 1459 10 . . . A52264 1460 1 9.595726 9.595726 CD A52264 1460 2 Now now RB A52264 1460 3 because because IN A52264 1460 4 the the DT A52264 1460 5 perpendicular perpendicular JJ A52264 1460 6 falls fall VBZ A52264 1460 7 without without IN A52264 1460 8 the the DT A52264 1460 9 triangle triangle NN A52264 1460 10 , , , A52264 1460 11 and and CC A52264 1460 12 both both CC A52264 1460 13 the the DT A52264 1460 14 angles angle NNS A52264 1460 15 given give VBN A52264 1460 16 acute acute JJ A52264 1460 17 , , , A52264 1460 18 therefore therefore RB A52264 1460 19 I -PRON- PRP A52264 1460 20 substract substract VBP A52264 1460 21 the the DT A52264 1460 22 angle angle NN A52264 1460 23 given give VBN A52264 1460 24 ACB ACB NNP A52264 1460 25 37 37 CD A52264 1460 26 degrees degree NNS A52264 1460 27 , , , A52264 1460 28 92 92 CD A52264 1460 29 minutes minute NNS A52264 1460 30 from from IN A52264 1460 31 the the DT A52264 1460 32 angle angle NN A52264 1460 33 found find VBD A52264 1460 34 ACD ACD NNP A52264 1460 35 68 68 CD A52264 1460 36 degrees degree NNS A52264 1460 37 48 48 CD A52264 1460 38 minutes minute NNS A52264 1460 39 , , , A52264 1460 40 and and CC A52264 1460 41 their -PRON- PRP$ A52264 1460 42 difference difference NN A52264 1460 43 30 30 CD A52264 1460 44 degrees degree NNS A52264 1460 45 56 56 CD A52264 1460 46 minutes minute NNS A52264 1460 47 is be VBZ A52264 1460 48 the the DT A52264 1460 49 angle angle NN A52264 1460 50 BCD BCD NNP A52264 1460 51 , , , A52264 1460 52 the the DT A52264 1460 53 second second JJ A52264 1460 54 arch arch NN A52264 1460 55 . . . A52264 1461 1 Hence hence RB A52264 1461 2 to to TO A52264 1461 3 finde finde VB A52264 1461 4 the the DT A52264 1461 5 angle angle NN A52264 1461 6 CBD CBD NNP A52264 1461 7 , , , A52264 1461 8 I -PRON- PRP A52264 1461 9 say say VBP A52264 1461 10 , , , A52264 1461 11 as as IN A52264 1461 12 before before RB A52264 1461 13 ; ; : A52264 1461 14 As as IN A52264 1461 15 the the DT A52264 1461 16 sine sine NN A52264 1461 17 of of IN A52264 1461 18 ACD ACD NNP A52264 1461 19 68.48 68.48 CD A52264 1461 20 . . . A52264 1462 1 co co NNP A52264 1462 2 . . . A52264 1463 1 ar ar NNP A52264 1463 2 . . . A52264 1464 1 0.031382 0.031382 CD A52264 1464 2 To to IN A52264 1464 3 the the DT A52264 1464 4 sine sine NN A52264 1464 5 of of IN A52264 1464 6 BCD BCD NNP A52264 1464 7 30.56 30.56 CD A52264 1464 8 . . . A52264 1465 1 9.706240 9.706240 CD A52264 1465 2 So so RB A52264 1465 3 is be VBZ A52264 1465 4 the the DT A52264 1465 5 co co JJ A52264 1465 6 - - NN A52264 1465 7 sine sine NN A52264 1465 8 of of IN A52264 1465 9 DAC DAC NNP A52264 1465 10 56.44 56.44 CD A52264 1465 11 . . . A52264 1466 1 9.742575 9.742575 CD A52264 1466 2 To to IN A52264 1466 3 the the DT A52264 1466 4 co co NN A52264 1466 5 - - NN A52264 1466 6 sine sine NN A52264 1466 7 of of IN A52264 1466 8 CBD CBD NNP A52264 1466 9 72.40 72.40 CD A52264 1466 10 . . . A52264 1467 1 9.480197 9.480197 CD A52264 1467 2 CASE case NN A52264 1467 3 6 6 CD A52264 1467 4 . . . A52264 1468 1 Two two CD A52264 1468 2 angles angle NNS A52264 1468 3 and and CC A52264 1468 4 the the DT A52264 1468 5 side side NN A52264 1468 6 between between IN A52264 1468 7 them -PRON- PRP A52264 1468 8 given give VBN A52264 1468 9 to to IN A52264 1468 10 finde finde NNP A52264 1468 11 the the DT A52264 1468 12 other other JJ A52264 1468 13 side side NN A52264 1468 14 . . . A52264 1469 1 First first RB A52264 1469 2 , , , A52264 1469 3 by by IN A52264 1469 4 the the DT A52264 1469 5 ninth ninth JJ A52264 1469 6 case case NN A52264 1469 7 of of IN A52264 1469 8 right right JJ A52264 1469 9 angled angled JJ A52264 1469 10 triangles triangle NNS A52264 1469 11 , , , A52264 1469 12 I -PRON- PRP A52264 1469 13 say say VBP A52264 1469 14 , , , A52264 1469 15 as as IN A52264 1469 16 before before RB A52264 1469 17 ; ; : A52264 1469 18 As as IN A52264 1469 19 Radius Radius NNP A52264 1469 20 , , , A52264 1469 21 to to IN A52264 1469 22 the the DT A52264 1469 23 co co NN A52264 1469 24 - - NN A52264 1469 25 sine sine NN A52264 1469 26 of of IN A52264 1469 27 the the DT A52264 1469 28 hypothenusal hypothenusal NN A52264 1469 29 ; ; : A52264 1469 30 so so CC A52264 1469 31 the the DT A52264 1469 32 tangent tangent NN A52264 1469 33 of of IN A52264 1469 34 the the DT A52264 1469 35 angle angle NN A52264 1469 36 at at IN A52264 1469 37 the the DT A52264 1469 38 base base NN A52264 1469 39 , , , A52264 1469 40 to to IN A52264 1469 41 the the DT A52264 1469 42 co co NN A52264 1469 43 - - NN A52264 1469 44 tangent tangent NN A52264 1469 45 of of IN A52264 1469 46 the the DT A52264 1469 47 angle angle NN A52264 1469 48 at at IN A52264 1469 49 the the DT A52264 1469 50 perpendicular perpendicular NN A52264 1469 51 . . . A52264 1470 1 Which which WDT A52264 1470 2 being be VBG A52264 1470 3 added add VBN A52264 1470 4 to to IN A52264 1470 5 or or CC A52264 1470 6 substracted substracte VBN A52264 1470 7 from from IN A52264 1470 8 the the DT A52264 1470 9 other other JJ A52264 1470 10 angle angle NN A52264 1470 11 given give VBN A52264 1470 12 , , , A52264 1470 13 according accord VBG A52264 1470 14 to to IN A52264 1470 15 the the DT A52264 1470 16 direction direction NN A52264 1470 17 of of IN A52264 1470 18 the the DT A52264 1470 19 fift fift NN A52264 1470 20 case case NN A52264 1470 21 , , , A52264 1470 22 giveth giveth VBZ A52264 1470 23 the the DT A52264 1470 24 second second JJ A52264 1470 25 arch arch NN A52264 1470 26 . . . A52264 1471 1 Then then RB A52264 1471 2 by by IN A52264 1471 3 the the DT A52264 1471 4 fourth fourth JJ A52264 1471 5 Consectary Consectary NNP A52264 1471 6 of of IN A52264 1471 7 this this DT A52264 1471 8 Chapter chapter NN A52264 1471 9 , , , A52264 1471 10 As as IN A52264 1471 11 the the DT A52264 1471 12 co co NN A52264 1471 13 - - NN A52264 1471 14 sine sine NN A52264 1471 15 of of IN A52264 1471 16 the the DT A52264 1471 17 first first JJ A52264 1471 18 angle angle NN A52264 1471 19 at at IN A52264 1471 20 the the DT A52264 1471 21 perpendicular perpendicular NN A52264 1471 22 , , , A52264 1471 23 to to IN A52264 1471 24 the the DT A52264 1471 25 co co NN A52264 1471 26 - - NN A52264 1471 27 sine sine NN A52264 1471 28 of of IN A52264 1471 29 the the DT A52264 1471 30 second second JJ A52264 1471 31 ; ; : A52264 1471 32 so so RB A52264 1471 33 is be VBZ A52264 1471 34 the the DT A52264 1471 35 co co JJ A52264 1471 36 - - NN A52264 1471 37 tangent tangent NN A52264 1471 38 of of IN A52264 1471 39 the the DT A52264 1471 40 first first JJ A52264 1471 41 hypothenusal hypothenusal NN A52264 1471 42 , , , A52264 1471 43 to to IN A52264 1471 44 the the DT A52264 1471 45 co co NN A52264 1471 46 - - NN A52264 1471 47 tangent tangent NN A52264 1471 48 of of IN A52264 1471 49 the the DT A52264 1471 50 second second JJ A52264 1471 51 . . . A52264 1472 1 Example example NN A52264 1472 2 . . . A52264 1473 1 If if IN A52264 1473 2 there there EX A52264 1473 3 were be VBD A52264 1473 4 given give VBN A52264 1473 5 , , , A52264 1473 6 as as IN A52264 1473 7 in in IN A52264 1473 8 the the DT A52264 1473 9 first first JJ A52264 1473 10 example example NN A52264 1473 11 of of IN A52264 1473 12 the the DT A52264 1473 13 last last JJ A52264 1473 14 case case NN A52264 1473 15 , , , A52264 1473 16 the the DT A52264 1473 17 angles angle NNS A52264 1473 18 BAC BAC NNP A52264 1473 19 56 56 CD A52264 1473 20 degrees degree NNS A52264 1473 21 44 44 CD A52264 1473 22 minutes minute NNS A52264 1473 23 , , , A52264 1473 24 and and CC A52264 1473 25 ABC ABC NNP A52264 1473 26 107 107 CD A52264 1473 27 degrees degree NNS A52264 1473 28 60 60 CD A52264 1473 29 minutes minute NNS A52264 1473 30 , , , A52264 1473 31 with with IN A52264 1473 32 the the DT A52264 1473 33 side side NN A52264 1473 34 AB AB NNP A52264 1473 35 38 38 CD A52264 1473 36 degrees degree NNS A52264 1473 37 , , , A52264 1473 38 47 47 CD A52264 1473 39 minutes minute NNS A52264 1473 40 , , , A52264 1473 41 to to TO A52264 1473 42 finde finde VB A52264 1473 43 the the DT A52264 1473 44 side side NN A52264 1473 45 BC BC NNP A52264 1473 46 . . . A52264 1474 1 The the DT A52264 1474 2 first first JJ A52264 1474 3 operation operation NN A52264 1474 4 will will MD A52264 1474 5 be be VB A52264 1474 6 in in IN A52264 1474 7 all all DT A52264 1474 8 things thing NNS A52264 1474 9 the the DT A52264 1474 10 same same JJ A52264 1474 11 , , , A52264 1474 12 and and CC A52264 1474 13 the the DT A52264 1474 14 first first JJ A52264 1474 15 arch arch JJ A52264 1474 16 ABF ABF NNP A52264 1474 17 40 40 CD A52264 1474 18 degrees degree NNS A52264 1474 19 , , , A52264 1474 20 28 28 CD A52264 1474 21 minutes minute NNS A52264 1474 22 ; ; : A52264 1474 23 the the DT A52264 1474 24 second second JJ A52264 1474 25 arch arch JJ A52264 1474 26 FBC FBC NNP A52264 1474 27 67 67 CD A52264 1474 28 degrees degree NNS A52264 1474 29 , , , A52264 1474 30 32 32 CD A52264 1474 31 minutes minute NNS A52264 1474 32 . . . A52264 1475 1 Hence hence RB A52264 1475 2 to to TO A52264 1475 3 finde finde VB A52264 1475 4 the the DT A52264 1475 5 side side NN A52264 1475 6 BC BC NNP A52264 1475 7 , , , A52264 1475 8 I -PRON- PRP A52264 1475 9 say say VBP A52264 1475 10 : : : A52264 1475 11 As as IN A52264 1475 12 the the DT A52264 1475 13 co co NN A52264 1475 14 - - NN A52264 1475 15 sine sine NN A52264 1475 16 of of IN A52264 1475 17 ABF ABF NNP A52264 1475 18 40.28 40.28 CD A52264 1475 19 . . . A52264 1476 1 co co NNP A52264 1476 2 . . . A52264 1477 1 ar ar NNP A52264 1477 2 . . . A52264 1478 1 0.117536 0.117536 CD A52264 1478 2 To to IN A52264 1478 3 the the DT A52264 1478 4 co co NN A52264 1478 5 - - NN A52264 1478 6 sine sine NN A52264 1478 7 of of IN A52264 1478 8 FBC FBC NNP A52264 1478 9 67.32 67.32 CD A52264 1478 10 . . . A52264 1479 1 9 9 CD A52264 1479 2 . . . A52264 1480 1 5861 5861 CD A52264 1480 2 ● ● NFP A52264 1480 3 9 9 CD A52264 1480 4 So so RB A52264 1480 5 is be VBZ A52264 1480 6 the the DT A52264 1480 7 cotangent cotangent NN A52264 1480 8 of of IN A52264 1480 9 AB AB NNP A52264 1480 10 38.47 38.47 CD A52264 1480 11 . . . A52264 1481 1 10 10 CD A52264 1481 2 . . . A52264 1482 1 09986 09986 CD A52264 1482 2 ● ● NFP A52264 1482 3 To to IN A52264 1482 4 the the DT A52264 1482 5 co co NN A52264 1482 6 - - NN A52264 1482 7 tangent tangent NN A52264 1482 8 of of IN A52264 1482 9 BC BC NNP A52264 1482 10 57.53 57.53 CD A52264 1482 11 9.803517 9.803517 CD A52264 1482 12 CASE case NN A52264 1482 13 7 7 CD A52264 1482 14 . . . A52264 1483 1 Two two CD A52264 1483 2 sides side NNS A52264 1483 3 with with IN A52264 1483 4 an an DT A52264 1483 5 angle angle NN A52264 1483 6 opposite opposite NN A52264 1483 7 to to IN A52264 1483 8 one one CD A52264 1483 9 of of IN A52264 1483 10 them -PRON- PRP A52264 1483 11 , , , A52264 1483 12 to to TO A52264 1483 13 finde finde NNP A52264 1483 14 the the DT A52264 1483 15 third third JJ A52264 1483 16 side side NN A52264 1483 17 . . . A52264 1484 1 First first RB A52264 1484 2 , , , A52264 1484 3 by by IN A52264 1484 4 the the DT A52264 1484 5 seventh seventh JJ A52264 1484 6 case case NN A52264 1484 7 of of IN A52264 1484 8 right right JJ A52264 1484 9 angled angle VBN A52264 1484 10 sphericall sphericall NN A52264 1484 11 triangles triangle NNS A52264 1484 12 , , , A52264 1484 13 I -PRON- PRP A52264 1484 14 say say VBP A52264 1484 15 ; ; : A52264 1484 16 As as IN A52264 1484 17 Radius Radius NNP A52264 1484 18 , , , A52264 1484 19 to to IN A52264 1484 20 the the DT A52264 1484 21 co co NN A52264 1484 22 - - NN A52264 1484 23 sine sine NN A52264 1484 24 of of IN A52264 1484 25 the the DT A52264 1484 26 angle angle NN A52264 1484 27 at at IN A52264 1484 28 the the DT A52264 1484 29 base base NN A52264 1484 30 ; ; : A52264 1484 31 so so RB A52264 1484 32 is be VBZ A52264 1484 33 the the DT A52264 1484 34 tangent tangent NN A52264 1484 35 of of IN A52264 1484 36 the the DT A52264 1484 37 hypothenusal hypothenusal NN A52264 1484 38 , , , A52264 1484 39 to to IN A52264 1484 40 the the DT A52264 1484 41 tangent tangent NN A52264 1484 42 of of IN A52264 1484 43 the the DT A52264 1484 44 base base NN A52264 1484 45 , , , A52264 1484 46 or or CC A52264 1484 47 first first RB A52264 1484 48 arch arch NN A52264 1484 49 . . . A52264 1485 1 Then then RB A52264 1485 2 , , , A52264 1485 3 by by IN A52264 1485 4 the the DT A52264 1485 5 first first JJ A52264 1485 6 Consectary Consectary NNP A52264 1485 7 of of IN A52264 1485 8 this this DT A52264 1485 9 Chapter chapter NN A52264 1485 10 , , , A52264 1485 11 the the DT A52264 1485 12 analogie analogie NN A52264 1485 13 is be VBZ A52264 1485 14 , , , A52264 1485 15 As as IN A52264 1485 16 the the DT A52264 1485 17 co co NN A52264 1485 18 - - NN A52264 1485 19 sine sine NN A52264 1485 20 of of IN A52264 1485 21 the the DT A52264 1485 22 first first JJ A52264 1485 23 hypothenusal hypothenusal NN A52264 1485 24 , , , A52264 1485 25 to to IN A52264 1485 26 the the DT A52264 1485 27 co co NN A52264 1485 28 - - NN A52264 1485 29 sine sine NN A52264 1485 30 of of IN A52264 1485 31 the the DT A52264 1485 32 second second JJ A52264 1485 33 ; ; : A52264 1485 34 so so CC A52264 1485 35 the the DT A52264 1485 36 co co NN A52264 1485 37 - - NN A52264 1485 38 sine sine NN A52264 1485 39 of of IN A52264 1485 40 the the DT A52264 1485 41 first first JJ A52264 1485 42 arch arch NN A52264 1485 43 found find VBD A52264 1485 44 , , , A52264 1485 45 to to IN A52264 1485 46 the the DT A52264 1485 47 co co NN A52264 1485 48 - - NN A52264 1485 49 sine sine NN A52264 1485 50 of of IN A52264 1485 51 the the DT A52264 1485 52 second second JJ A52264 1485 53 . . . A52264 1486 1 Which which WDT A52264 1486 2 being be VBG A52264 1486 3 added add VBN A52264 1486 4 to to IN A52264 1486 5 or or CC A52264 1486 6 substracted substracte VBN A52264 1486 7 from from IN A52264 1486 8 the the DT A52264 1486 9 first first JJ A52264 1486 10 arch arch NN A52264 1486 11 found find VBD A52264 1486 12 , , , A52264 1486 13 according accord VBG A52264 1486 14 to to IN A52264 1486 15 the the DT A52264 1486 16 direction direction NN A52264 1486 17 following follow VBG A52264 1486 18 , , , A52264 1486 19 their -PRON- PRP$ A52264 1486 20 sum sum NN A52264 1486 21 or or CC A52264 1486 22 difference difference NN A52264 1486 23 is be VBZ A52264 1486 24 the the DT A52264 1486 25 third third JJ A52264 1486 26 side side NN A52264 1486 27 . . . A52264 1487 1 If if IN A52264 1487 2 the the DT A52264 1487 3 perpendicular perpendicular JJ A52264 1487 4 fall fall NN A52264 1487 5 Within within IN A52264 1487 6 the the DT A52264 1487 7 triangle triangle NN A52264 1487 8 , , , A52264 1487 9 adde adde NNP A52264 1487 10 the the DT A52264 1487 11 first first JJ A52264 1487 12 arch arch NN A52264 1487 13 found find VBD A52264 1487 14 to to IN A52264 1487 15 the the DT A52264 1487 16 second second JJ A52264 1487 17 arch arch NN A52264 1487 18 found find VBD A52264 1487 19 , , , A52264 1487 20 and and CC A52264 1487 21 their -PRON- PRP$ A52264 1487 22 aggregate aggregate NN A52264 1487 23 is be VBZ A52264 1487 24 the the DT A52264 1487 25 side side NN A52264 1487 26 required require VBN A52264 1487 27 . . . A52264 1488 1 Without without IN A52264 1488 2 , , , A52264 1488 3 & & CC A52264 1488 4 the the DT A52264 1488 5 angle angle NN A52264 1488 6 given give VBN A52264 1488 7 obtuse obtuse NN A52264 1488 8 , , , A52264 1488 9 substract substract VB A52264 1488 10 the the DT A52264 1488 11 first first JJ A52264 1488 12 arch arch NN A52264 1488 13 found find VBN A52264 1488 14 from from IN A52264 1488 15 the the DT A52264 1488 16 second second JJ A52264 1488 17 arch arch NN A52264 1488 18 found find VBD A52264 1488 19 , , , A52264 1488 20 and and CC A52264 1488 21 what what WP A52264 1488 22 remaineth remaineth NNP A52264 1488 23 is be VBZ A52264 1488 24 the the DT A52264 1488 25 third third JJ A52264 1488 26 side side NN A52264 1488 27 . . . A52264 1489 1 Without without IN A52264 1489 2 , , , A52264 1489 3 & & CC A52264 1489 4 the the DT A52264 1489 5 given give VBN A52264 1489 6 angle angle NN A52264 1489 7 acute acute NN A52264 1489 8 , , , A52264 1489 9 substract substract VB A52264 1489 10 the the DT A52264 1489 11 second second JJ A52264 1489 12 arch arch NN A52264 1489 13 found find VBN A52264 1489 14 from from IN A52264 1489 15 the the DT A52264 1489 16 first first JJ A52264 1489 17 , , , A52264 1489 18 and and CC A52264 1489 19 what what WP A52264 1489 20 remaineth remaineth NNP A52264 1489 21 is be VBZ A52264 1489 22 the the DT A52264 1489 23 side side NN A52264 1489 24 required require VBN A52264 1489 25 . . . A52264 1490 1 1 1 CD A52264 1490 2 Example example NN A52264 1490 3 . . . A52264 1491 1 In in IN A52264 1491 2 the the DT A52264 1491 3 oblique oblique NN A52264 1491 4 angled angle VBN A52264 1491 5 triangle triangle NNP A52264 1491 6 ABC ABC NNP A52264 1491 7 , , , A52264 1491 8 let let VB A52264 1491 9 there there EX A52264 1491 10 be be VB A52264 1491 11 given give VBN A52264 1491 12 the the DT A52264 1491 13 sides side NNS A52264 1491 14 AB AB NNP A52264 1491 15 38 38 CD A52264 1491 16 degrees degree NNS A52264 1491 17 , , , A52264 1491 18 47 47 CD A52264 1491 19 minutes minute NNS A52264 1491 20 , , , A52264 1491 21 and and CC A52264 1491 22 BC BC NNP A52264 1491 23 57 57 CD A52264 1491 24 degrees degree NNS A52264 1491 25 , , , A52264 1491 26 53 53 CD A52264 1491 27 minutes minute NNS A52264 1491 28 , , , A52264 1491 29 with with IN A52264 1491 30 the the DT A52264 1491 31 angle angle NN A52264 1491 32 BAC BAC NNP A52264 1491 33 56 56 CD A52264 1491 34 degrees degree NNS A52264 1491 35 , , , A52264 1491 36 44 44 CD A52264 1491 37 minutes minute NNS A52264 1491 38 , , , A52264 1491 39 and and CC A52264 1491 40 let let VB A52264 1491 41 the the DT A52264 1491 42 side side NN A52264 1491 43 AC AC NNP A52264 1491 44 be be VB A52264 1491 45 required require VBN A52264 1491 46 . . . A52264 1492 1 First first RB A52264 1492 2 , , , A52264 1492 3 I -PRON- PRP A52264 1492 4 let let VBD A52264 1492 5 fall fall VB A52264 1492 6 the the DT A52264 1492 7 perpendicular perpendicular JJ A52264 1492 8 BF BF NNP A52264 1492 9 , , , A52264 1492 10 and and CC A52264 1492 11 then then RB A52264 1492 12 in in IN A52264 1492 13 the the DT A52264 1492 14 right right NN A52264 1492 15 angled angle VBN A52264 1492 16 triangle triangle NN A52264 1492 17 ABF ABF NNP A52264 1492 18 , , , A52264 1492 19 we -PRON- PRP A52264 1492 20 have have VBP A52264 1492 21 given give VBN A52264 1492 22 the the DT A52264 1492 23 hypothenusal hypothenusal NN A52264 1492 24 AB AB NNP A52264 1492 25 , , , A52264 1492 26 and and CC A52264 1492 27 the the DT A52264 1492 28 angle angle NN A52264 1492 29 at at IN A52264 1492 30 the the DT A52264 1492 31 base base NN A52264 1492 32 BAF BAF NNP A52264 1492 33 , , , A52264 1492 34 to to TO A52264 1492 35 finde finde VB A52264 1492 36 the the DT A52264 1492 37 base base NN A52264 1492 38 AF AF NNP A52264 1492 39 , , , A52264 1492 40 for for IN A52264 1492 41 which which WDT A52264 1492 42 I -PRON- PRP A52264 1492 43 say say VBP A52264 1492 44 : : : A52264 1492 45 As as IN A52264 1492 46 the the DT A52264 1492 47 Radius Radius NNP A52264 1492 48 90 90 CD A52264 1492 49 10.000000 10.000000 CD A52264 1492 50 To to IN A52264 1492 51 the the DT A52264 1492 52 co co NN A52264 1492 53 - - NN A52264 1492 54 sine sine NN A52264 1492 55 of of IN A52264 1492 56 BAF BAF NNP A52264 1492 57 56.44 56.44 CD A52264 1492 58 . . . A52264 1493 1 9.742576 9.742576 CD A52264 1493 2 So so RB A52264 1493 3 is be VBZ A52264 1493 4 the the DT A52264 1493 5 tangent tangent NN A52264 1493 6 of of IN A52264 1493 7 AB AB NNP A52264 1493 8 38.47 38.47 CD A52264 1493 9 . . . A52264 1494 1 9.900138 9.900138 CD A52264 1494 2 To to IN A52264 1494 3 the the DT A52264 1494 4 tangent tangent NN A52264 1494 5 of of IN A52264 1494 6 AF AF NNP A52264 1494 7 23.72 23.72 CD A52264 1494 8 . . . A52264 1495 1 9.642714 9.642714 CD A52264 1495 2 Secondly secondly RB A52264 1495 3 , , , A52264 1495 4 for for IN A52264 1495 5 FC FC NNP A52264 1495 6 , , , A52264 1495 7 I -PRON- PRP A52264 1495 8 say say VBP A52264 1495 9 : : : A52264 1495 10 As as IN A52264 1495 11 the the DT A52264 1495 12 co co NN A52264 1495 13 - - NN A52264 1495 14 sine sine NN A52264 1495 15 of of IN A52264 1495 16 AB AB NNP A52264 1495 17 38.47 38.47 CD A52264 1495 18 . . . A52264 1496 1 co co NNP A52264 1496 2 . . . A52264 1497 1 ar ar NNP A52264 1497 2 . . . A52264 1498 1 0.106275 0.106275 CD A52264 1498 2 To to IN A52264 1498 3 the the DT A52264 1498 4 co co NN A52264 1498 5 - - NN A52264 1498 6 sine sine NN A52264 1498 7 of of IN A52264 1498 8 BC BC NNP A52264 1498 9 57.53 57.53 CD A52264 1498 10 . . . A52264 1499 1 9.729859 9.729859 CD A52264 1499 2 So so RB A52264 1499 3 is be VBZ A52264 1499 4 the the DT A52264 1499 5 co co JJ A52264 1499 6 - - NN A52264 1499 7 sine sine NN A52264 1499 8 of of IN A52264 1499 9 AF AF NNP A52264 1499 10 23.72 23.72 CD A52264 1499 11 . . . A52264 1500 1 9 9 CD A52264 1500 2 . . . A52264 1501 1 ● ● NFP A52264 1501 2 61669 61669 CD A52264 1501 3 To to IN A52264 1501 4 the the DT A52264 1501 5 co co NN A52264 1501 6 - - NN A52264 1501 7 sine sine NN A52264 1501 8 of of IN A52264 1501 9 FC FC NNP A52264 1501 10 51.12 51.12 CD A52264 1501 11 . . . A52264 1502 1 9.797803 9.797803 CD A52264 1502 2 Now now RB A52264 1502 3 because because IN A52264 1502 4 the the DT A52264 1502 5 perpendicular perpendicular NN A52264 1502 6 fell fall VBD A52264 1502 7 within within IN A52264 1502 8 the the DT A52264 1502 9 triangle triangle NN A52264 1502 10 , , , A52264 1502 11 therefore therefore RB A52264 1502 12 I -PRON- PRP A52264 1502 13 adde adde VBP A52264 1502 14 the the DT A52264 1502 15 first first JJ A52264 1502 16 arch arch NN A52264 1502 17 found find VBD A52264 1502 18 AF AF NNP A52264 1502 19 23 23 CD A52264 1502 20 degrees degree NNS A52264 1502 21 , , , A52264 1502 22 72 72 CD A52264 1502 23 minutes minute NNS A52264 1502 24 to to IN A52264 1502 25 the the DT A52264 1502 26 second second JJ A52264 1502 27 arch arch NN A52264 1502 28 found find VBD A52264 1502 29 FC FC NNP A52264 1502 30 51 51 CD A52264 1502 31 degrees degree NNS A52264 1502 32 12 12 CD A52264 1502 33 minutes minute NNS A52264 1502 34 , , , A52264 1502 35 and and CC A52264 1502 36 their -PRON- PRP$ A52264 1502 37 aggregate aggregate JJ A52264 1502 38 74 74 CD A52264 1502 39 degrees degree NNS A52264 1502 40 , , , A52264 1502 41 84 84 CD A52264 1502 42 minutes minute NNS A52264 1502 43 is be VBZ A52264 1502 44 AC AC NNP A52264 1502 45 the the DT A52264 1502 46 side side NN A52264 1502 47 required require VBN A52264 1502 48 . . . A52264 1503 1 2 2 CD A52264 1503 2 Example example NN A52264 1503 3 . . . A52264 1504 1 In in IN A52264 1504 2 the the DT A52264 1504 3 same same JJ A52264 1504 4 triangle triangle NN A52264 1504 5 ABC ABC NNP A52264 1504 6 , , , A52264 1504 7 let let VB A52264 1504 8 there there EX A52264 1504 9 be be VB A52264 1504 10 given give VBN A52264 1504 11 the the DT A52264 1504 12 sides side NNS A52264 1504 13 AB AB NNP A52264 1504 14 38 38 CD A52264 1504 15 degrees degree NNS A52264 1504 16 , , , A52264 1504 17 47 47 CD A52264 1504 18 minutes minute NNS A52264 1504 19 and and CC A52264 1504 20 AC AC NNP A52264 1504 21 74 74 CD A52264 1504 22 degrees degree NNS A52264 1504 23 84 84 CD A52264 1504 24 minutes minute NNS A52264 1504 25 , , , A52264 1504 26 and and CC A52264 1504 27 the the DT A52264 1504 28 angle angle NN A52264 1504 29 ABC ABC NNP A52264 1504 30 107 107 CD A52264 1504 31 degrees degree NNS A52264 1504 32 , , , A52264 1504 33 60 60 CD A52264 1504 34 minutes minute NNS A52264 1504 35 , , , A52264 1504 36 and and CC A52264 1504 37 let let VB A52264 1504 38 BC BC NNP A52264 1504 39 be be VB A52264 1504 40 required require VBN A52264 1504 41 . . . A52264 1505 1 First first RB A52264 1505 2 then then RB A52264 1505 3 , , , A52264 1505 4 I -PRON- PRP A52264 1505 5 let let VBD A52264 1505 6 fall fall VB A52264 1505 7 the the DT A52264 1505 8 perpendicular perpendicular JJ A52264 1505 9 AE AE NNP A52264 1505 10 , , , A52264 1505 11 and and CC A52264 1505 12 continue continue VB A52264 1505 13 the the DT A52264 1505 14 side side NN A52264 1505 15 BC BC NNP A52264 1505 16 to to IN A52264 1505 17 E E NNP A52264 1505 18 , , , A52264 1505 19 and and CC A52264 1505 20 then then RB A52264 1505 21 in in IN A52264 1505 22 the the DT A52264 1505 23 right right NN A52264 1505 24 angled angle VBN A52264 1505 25 triangle triangle NN A52264 1505 26 AEB AEB NNP A52264 1505 27 we -PRON- PRP A52264 1505 28 have have VBP A52264 1505 29 given give VBN A52264 1505 30 the the DT A52264 1505 31 side side NN A52264 1505 32 AB AB NNP A52264 1505 33 38 38 CD A52264 1505 34 degrees degree NNS A52264 1505 35 , , , A52264 1505 36 47 47 CD A52264 1505 37 minutes minute NNS A52264 1505 38 , , , A52264 1505 39 and and CC A52264 1505 40 the the DT A52264 1505 41 angle angle NN A52264 1505 42 ABE ABE NNP A52264 1505 43 72 72 CD A52264 1505 44 degrees degree NNS A52264 1505 45 , , , A52264 1505 46 40 40 CD A52264 1505 47 minutes minute NNS A52264 1505 48 , , , A52264 1505 49 the the DT A52264 1505 50 complement complement NN A52264 1505 51 of of IN A52264 1505 52 ABC ABC NNP A52264 1505 53 , , , A52264 1505 54 to to TO A52264 1505 55 finde finde VB A52264 1505 56 EB EB NNP A52264 1505 57 : : : A52264 1505 58 for for IN A52264 1505 59 which which WDT A52264 1505 60 I -PRON- PRP A52264 1505 61 say say VBP A52264 1505 62 : : : A52264 1505 63 As as IN A52264 1505 64 the the DT A52264 1505 65 Radius Radius NNP A52264 1505 66 90 90 CD A52264 1505 67 10.000000 10.000000 CD A52264 1505 68 To to IN A52264 1505 69 the the DT A52264 1505 70 co co NN A52264 1505 71 - - NN A52264 1505 72 sine sine NN A52264 1505 73 of of IN A52264 1505 74 ABE ABE NNP A52264 1505 75 72.40 72.40 CD A52264 1505 76 . . . A52264 1506 1 9.480538 9.480538 CD A52264 1506 2 So so RB A52264 1506 3 is be VBZ A52264 1506 4 the the DT A52264 1506 5 tangent tangent NN A52264 1506 6 of of IN A52264 1506 7 AB AB NNP A52264 1506 8 38.47 38.47 CD A52264 1506 9 . . . A52264 1507 1 9.900138 9.900138 CD A52264 1507 2 To to IN A52264 1507 3 the the DT A52264 1507 4 tangent tangent NN A52264 1507 5 of of IN A52264 1507 6 EB EB NNP A52264 1507 7 13.51 13.51 CD A52264 1507 8 . . . A52264 1508 1 9.380676 9.380676 CD A52264 1508 2 Secondly secondly RB A52264 1508 3 , , , A52264 1508 4 to to IN A52264 1508 5 finde finde NNP A52264 1508 6 EC EC NNP A52264 1508 7 , , , A52264 1508 8 I -PRON- PRP A52264 1508 9 say say VBP A52264 1508 10 : : : A52264 1508 11 As as IN A52264 1508 12 the the DT A52264 1508 13 co co NN A52264 1508 14 - - NN A52264 1508 15 sine sine NN A52264 1508 16 of of IN A52264 1508 17 AB AB NNP A52264 1508 18 38.47 38.47 CD A52264 1508 19 . . . A52264 1509 1 co co NNP A52264 1509 2 . . . A52264 1510 1 ar ar NNP A52264 1510 2 . . . A52264 1511 1 9.106275 9.106275 CD A52264 1511 2 To to IN A52264 1511 3 the the DT A52264 1511 4 co co NN A52264 1511 5 - - NN A52264 1511 6 sine sine NN A52264 1511 7 of of IN A52264 1511 8 AC AC NNP A52264 1511 9 74.84 74.84 CD A52264 1511 10 . . . A52264 1512 1 9 9 CD A52264 1512 2 . . . A52264 1513 1 ● ● NFP A52264 1513 2 17497 17497 CD A52264 1513 3 So so RB A52264 1513 4 is be VBZ A52264 1513 5 the the DT A52264 1513 6 co co JJ A52264 1513 7 - - NN A52264 1513 8 sine sine NN A52264 1513 9 of of IN A52264 1513 10 EB EB NNP A52264 1513 11 13.51 13.51 CD A52264 1513 12 . . . A52264 1514 1 9.987813 9.987813 CD A52264 1514 2 To to IN A52264 1514 3 the the DT A52264 1514 4 co co NN A52264 1514 5 - - NN A52264 1514 6 sine sine NN A52264 1514 7 of of IN A52264 1514 8 EC EC NNP A52264 1514 9 71.4 71.4 CD A52264 1514 10 . . . A52264 1515 1 9.511585 9.511585 CD A52264 1515 2 Now now RB A52264 1515 3 because because IN A52264 1515 4 the the DT A52264 1515 5 perpendicular perpendicular JJ A52264 1515 6 falls fall VBZ A52264 1515 7 without without IN A52264 1515 8 the the DT A52264 1515 9 triangle triangle NN A52264 1515 10 , , , A52264 1515 11 and and CC A52264 1515 12 the the DT A52264 1515 13 given give VBN A52264 1515 14 angle angle NN A52264 1515 15 obtuse obtuse NN A52264 1515 16 , , , A52264 1515 17 therefore therefore RB A52264 1515 18 I -PRON- PRP A52264 1515 19 substract substract VBP A52264 1515 20 the the DT A52264 1515 21 first first JJ A52264 1515 22 arch arch NN A52264 1515 23 found find VBD A52264 1515 24 EB EB NNP A52264 1515 25 13 13 CD A52264 1515 26 degrees degree NNS A52264 1515 27 51 51 CD A52264 1515 28 minutes minute NNS A52264 1515 29 , , , A52264 1515 30 from from IN A52264 1515 31 the the DT A52264 1515 32 second second JJ A52264 1515 33 arch arch NN A52264 1515 34 EC EC NNP A52264 1515 35 71 71 CD A52264 1515 36 degrees degree NNS A52264 1515 37 , , , A52264 1515 38 4 4 CD A52264 1515 39 minutes minute NNS A52264 1515 40 , , , A52264 1515 41 and and CC A52264 1515 42 their -PRON- PRP$ A52264 1515 43 difference difference NN A52264 1515 44 57 57 CD A52264 1515 45 degrees degree NNS A52264 1515 46 , , , A52264 1515 47 53 53 CD A52264 1515 48 minutes minute NNS A52264 1515 49 is be VBZ A52264 1515 50 BC BC NNP A52264 1515 51 , , , A52264 1515 52 the the DT A52264 1515 53 side side NN A52264 1515 54 required require VBN A52264 1515 55 . . . A52264 1516 1 3 3 CD A52264 1516 2 Example example NN A52264 1516 3 . . . A52264 1517 1 In in IN A52264 1517 2 the the DT A52264 1517 3 same same JJ A52264 1517 4 triangle triangle NN A52264 1517 5 ABC ABC NNP A52264 1517 6 , , , A52264 1517 7 let let VB A52264 1517 8 there there EX A52264 1517 9 be be VB A52264 1517 10 given give VBN A52264 1517 11 the the DT A52264 1517 12 sides side NNS A52264 1517 13 AC AC NNP A52264 1517 14 74 74 CD A52264 1517 15 degrees degree NNS A52264 1517 16 , , , A52264 1517 17 84 84 CD A52264 1517 18 minutes minute NNS A52264 1517 19 , , , A52264 1517 20 and and CC A52264 1517 21 BC BC NNP A52264 1517 22 57 57 CD A52264 1517 23 degrees degree NNS A52264 1517 24 , , , A52264 1517 25 53 53 CD A52264 1517 26 minutes minute NNS A52264 1517 27 , , , A52264 1517 28 and and CC A52264 1517 29 the the DT A52264 1517 30 angle angle NN A52264 1517 31 BAC BAC NNP A52264 1517 32 56 56 CD A52264 1517 33 deg deg NN A52264 1517 34 . . . A52264 1518 1 44 44 CD A52264 1518 2 min min NN A52264 1518 3 . . . A52264 1519 1 to to TO A52264 1519 2 finde finde NNP A52264 1519 3 the the DT A52264 1519 4 side side NN A52264 1519 5 AB AB NNP A52264 1519 6 : : : A52264 1519 7 I -PRON- PRP A52264 1519 8 let let VBD A52264 1519 9 fall fall VB A52264 1519 10 the the DT A52264 1519 11 perpendicular perpendicular JJ A52264 1519 12 DC DC NNP A52264 1519 13 , , , A52264 1519 14 and and CC A52264 1519 15 continue continue VB A52264 1519 16 the the DT A52264 1519 17 side side NN A52264 1519 18 AB ab NN A52264 1519 19 to to IN A52264 1519 20 D d NN A52264 1519 21 , , , A52264 1519 22 then then RB A52264 1519 23 in in IN A52264 1519 24 the the DT A52264 1519 25 right right NN A52264 1519 26 angled angle VBN A52264 1519 27 triangle triangle NNP A52264 1519 28 ADC ADC NNP A52264 1519 29 we -PRON- PRP A52264 1519 30 have have VBP A52264 1519 31 given give VBN A52264 1519 32 the the DT A52264 1519 33 hypothenusal hypothenusal NN A52264 1519 34 AC AC NNP A52264 1519 35 , , , A52264 1519 36 and and CC A52264 1519 37 the the DT A52264 1519 38 angle angle NN A52264 1519 39 at at IN A52264 1519 40 A A NNP A52264 1519 41 , , , A52264 1519 42 to to IN A52264 1519 43 finde finde NNP A52264 1519 44 AD ad NN A52264 1519 45 . . . A52264 1520 1 As as IN A52264 1520 2 the the DT A52264 1520 3 Radius Radius NNP A52264 1520 4 90 90 CD A52264 1520 5 10.000000 10.000000 CD A52264 1520 6 To to IN A52264 1520 7 the the DT A52264 1520 8 co co NN A52264 1520 9 - - NN A52264 1520 10 sine sine NN A52264 1520 11 of of IN A52264 1520 12 BAC BAC NNP A52264 1520 13 56.44 56.44 CD A52264 1520 14 . . . A52264 1521 1 9.742576 9.742576 CD A52264 1521 2 So so RB A52264 1521 3 is be VBZ A52264 1521 4 the the DT A52264 1521 5 tangent tangent NN A52264 1521 6 of of IN A52264 1521 7 AC AC NNP A52264 1521 8 74.84 74.84 CD A52264 1521 9 . . . A52264 1522 1 10.567119 10.567119 CD A52264 1522 2 To to IN A52264 1522 3 the the DT A52264 1522 4 tangent tangent NN A52264 1522 5 of of IN A52264 1522 6 AD ad NN A52264 1522 7 63.89 63.89 CD A52264 1522 8 . . . A52264 1523 1 10.309695 10.309695 CD A52264 1523 2 Secondly secondly RB A52264 1523 3 , , , A52264 1523 4 to to IN A52264 1523 5 finde finde NNP A52264 1523 6 DB DB NNP A52264 1523 7 , , , A52264 1523 8 I -PRON- PRP A52264 1523 9 say say VBP A52264 1523 10 : : : A52264 1523 11 As as IN A52264 1523 12 the the DT A52264 1523 13 co co NN A52264 1523 14 - - NN A52264 1523 15 sine sine NN A52264 1523 16 of of IN A52264 1523 17 AC AC NNP A52264 1523 18 74.84 74.84 CD A52264 1523 19 . . . A52264 1524 1 co co NNP A52264 1524 2 . . . A52264 1525 1 ar ar NNP A52264 1525 2 . . . A52264 1526 1 0.582503 0.582503 CD A52264 1526 2 To to IN A52264 1526 3 the the DT A52264 1526 4 co co NN A52264 1526 5 - - NN A52264 1526 6 sine sine NN A52264 1526 7 of of IN A52264 1526 8 BC BC NNP A52264 1526 9 57.53 57.53 CD A52264 1526 10 . . . A52264 1527 1 9.729859 9.729859 CD A52264 1527 2 So so RB A52264 1527 3 is be VBZ A52264 1527 4 the the DT A52264 1527 5 co co JJ A52264 1527 6 - - NN A52264 1527 7 sine sine NN A52264 1527 8 of of IN A52264 1527 9 AD ad NN A52264 1527 10 63.89 63.89 CD A52264 1527 11 . . . A52264 1528 1 9.643547 9.643547 CD A52264 1528 2 To to IN A52264 1528 3 the the DT A52264 1528 4 co co NN A52264 1528 5 - - NN A52264 1528 6 sine sine NN A52264 1528 7 of of IN A52264 1528 8 DB DB NNP A52264 1528 9 25.39 25.39 CD A52264 1528 10 . . . A52264 1529 1 9 9 CD A52264 1529 2 . . . A52264 1530 1 95 95 CD A52264 1530 2 ● ● CD A52264 1530 3 909 909 CD A52264 1530 4 Now now RB A52264 1530 5 because because IN A52264 1530 6 the the DT A52264 1530 7 perpendicular perpendicular JJ A52264 1530 8 falls fall VBZ A52264 1530 9 without without IN A52264 1530 10 the the DT A52264 1530 11 triangle triangle NN A52264 1530 12 , , , A52264 1530 13 and and CC A52264 1530 14 the the DT A52264 1530 15 angle angle NN A52264 1530 16 given give VBN A52264 1530 17 acute acute JJ A52264 1530 18 , , , A52264 1530 19 therefore therefore RB A52264 1530 20 I -PRON- PRP A52264 1530 21 substract substract VBP A52264 1530 22 the the DT A52264 1530 23 second second JJ A52264 1530 24 arch arch NN A52264 1530 25 found find VBD A52264 1530 26 DB DB NNP A52264 1530 27 25 25 CD A52264 1530 28 degrees degree NNS A52264 1530 29 , , , A52264 1530 30 39 39 CD A52264 1530 31 minutes minute NNS A52264 1530 32 , , , A52264 1530 33 from from IN A52264 1530 34 the the DT A52264 1530 35 first first JJ A52264 1530 36 arch arch NN A52264 1530 37 found find VBN A52264 1530 38 AD ad NN A52264 1530 39 63 63 CD A52264 1530 40 degrees degree NNS A52264 1530 41 89 89 CD A52264 1530 42 minutes minute NNS A52264 1530 43 , , , A52264 1530 44 and and CC A52264 1530 45 their -PRON- PRP$ A52264 1530 46 difference difference NN A52264 1530 47 38 38 CD A52264 1530 48 degrees degree NNS A52264 1530 49 50 50 CD A52264 1530 50 minutes minute NNS A52264 1530 51 is be VBZ A52264 1530 52 AB AB NNP A52264 1530 53 , , , A52264 1530 54 the the DT A52264 1530 55 side side NN A52264 1530 56 required require VBN A52264 1530 57 . . . A52264 1531 1 CASE CASE NNP A52264 1531 2 8 8 CD A52264 1531 3 . . . A52264 1532 1 Two two CD A52264 1532 2 sides side NNS A52264 1532 3 with with IN A52264 1532 4 an an DT A52264 1532 5 angle angle NN A52264 1532 6 opposite opposite NN A52264 1532 7 to to IN A52264 1532 8 one one CD A52264 1532 9 of of IN A52264 1532 10 them -PRON- PRP A52264 1532 11 being be VBG A52264 1532 12 given give VBN A52264 1532 13 , , , A52264 1532 14 to to TO A52264 1532 15 finde finde VB A52264 1532 16 their -PRON- PRP$ A52264 1532 17 contained contained JJ A52264 1532 18 angle angle NN A52264 1532 19 . . . A52264 1533 1 First first RB A52264 1533 2 , , , A52264 1533 3 by by IN A52264 1533 4 the the DT A52264 1533 5 ninth ninth JJ A52264 1533 6 case case NN A52264 1533 7 of of IN A52264 1533 8 right right JJ A52264 1533 9 angled angle VBN A52264 1533 10 spherical spherical JJ A52264 1533 11 triangles triangle NNS A52264 1533 12 , , , A52264 1533 13 I -PRON- PRP A52264 1533 14 say say VBP A52264 1533 15 ; ; : A52264 1533 16 As as IN A52264 1533 17 Radius Radius NNP A52264 1533 18 , , , A52264 1533 19 to to IN A52264 1533 20 the the DT A52264 1533 21 co co NN A52264 1533 22 - - NN A52264 1533 23 sine sine NN A52264 1533 24 of of IN A52264 1533 25 the the DT A52264 1533 26 hypothenusal hypothenusal NN A52264 1533 27 ; ; : A52264 1533 28 so so CC A52264 1533 29 the the DT A52264 1533 30 tangent tangent NN A52264 1533 31 of of IN A52264 1533 32 the the DT A52264 1533 33 angle angle NN A52264 1533 34 at at IN A52264 1533 35 the the DT A52264 1533 36 base base NN A52264 1533 37 , , , A52264 1533 38 to to IN A52264 1533 39 the the DT A52264 1533 40 co co NN A52264 1533 41 - - NN A52264 1533 42 tangent tangent NN A52264 1533 43 of of IN A52264 1533 44 the the DT A52264 1533 45 angle angle NN A52264 1533 46 at at IN A52264 1533 47 the the DT A52264 1533 48 perpendicular perpendicular NN A52264 1533 49 . . . A52264 1534 1 Then then RB A52264 1534 2 , , , A52264 1534 3 by by IN A52264 1534 4 the the DT A52264 1534 5 fourth fourth JJ A52264 1534 6 Consectary Consectary NNP A52264 1534 7 of of IN A52264 1534 8 this this DT A52264 1534 9 Chapter chapter NN A52264 1534 10 , , , A52264 1534 11 the the DT A52264 1534 12 proportion proportion NN A52264 1534 13 is be VBZ A52264 1534 14 : : : A52264 1534 15 As as IN A52264 1534 16 the the DT A52264 1534 17 co co NN A52264 1534 18 - - NN A52264 1534 19 tangent tangent NN A52264 1534 20 of of IN A52264 1534 21 the the DT A52264 1534 22 first first JJ A52264 1534 23 hypothenusal hypothenusal NN A52264 1534 24 , , , A52264 1534 25 to to IN A52264 1534 26 the the DT A52264 1534 27 co co NN A52264 1534 28 - - NN A52264 1534 29 tangent tangent NN A52264 1534 30 of of IN A52264 1534 31 the the DT A52264 1534 32 second second JJ A52264 1534 33 ; ; : A52264 1534 34 so so CC A52264 1534 35 the the DT A52264 1534 36 co co NN A52264 1534 37 - - NN A52264 1534 38 sine sine NN A52264 1534 39 of of IN A52264 1534 40 the the DT A52264 1534 41 first first JJ A52264 1534 42 angle angle NN A52264 1534 43 at at IN A52264 1534 44 the the DT A52264 1534 45 perpendicular perpendicular NN A52264 1534 46 , , , A52264 1534 47 to to IN A52264 1534 48 the the DT A52264 1534 49 co co NN A52264 1534 50 - - NN A52264 1534 51 sine sine NN A52264 1534 52 of of IN A52264 1534 53 the the DT A52264 1534 54 second second JJ A52264 1534 55 : : : A52264 1534 56 which which WDT A52264 1534 57 being be VBG A52264 1534 58 added add VBN A52264 1534 59 to to IN A52264 1534 60 , , , A52264 1534 61 or or CC A52264 1534 62 substracted substracte VBN A52264 1534 63 from from IN A52264 1534 64 the the DT A52264 1534 65 first first JJ A52264 1534 66 arch arch NN A52264 1534 67 found find VBD A52264 1534 68 , , , A52264 1534 69 according accord VBG A52264 1534 70 to to IN A52264 1534 71 the the DT A52264 1534 72 direction direction NN A52264 1534 73 of of IN A52264 1534 74 the the DT A52264 1534 75 seventh seventh JJ A52264 1534 76 case case NN A52264 1534 77 , , , A52264 1534 78 giveth giveth VBZ A52264 1534 79 the the DT A52264 1534 80 angle angle NN A52264 1534 81 sought seek VBD A52264 1534 82 . . . A52264 1535 1 Example example NN A52264 1535 2 . . . A52264 1536 1 If if IN A52264 1536 2 there there EX A52264 1536 3 were be VBD A52264 1536 4 given give VBN A52264 1536 5 , , , A52264 1536 6 as as IN A52264 1536 7 in in IN A52264 1536 8 the the DT A52264 1536 9 first first JJ A52264 1536 10 example example NN A52264 1536 11 of of IN A52264 1536 12 the the DT A52264 1536 13 last last JJ A52264 1536 14 case case NN A52264 1536 15 , , , A52264 1536 16 the the DT A52264 1536 17 sides side NNS A52264 1536 18 AB AB NNP A52264 1536 19 38 38 CD A52264 1536 20 deg deg NN A52264 1536 21 . . . A52264 1537 1 47 47 CD A52264 1537 2 min min NN A52264 1537 3 . . . A52264 1538 1 and and CC A52264 1538 2 BC BC NNP A52264 1538 3 57 57 CD A52264 1538 4 deg deg NNP A52264 1538 5 . . . A52264 1539 1 53 53 CD A52264 1539 2 min min NN A52264 1539 3 . . . A52264 1540 1 with with IN A52264 1540 2 the the DT A52264 1540 3 angle angle NN A52264 1540 4 BAC BAC NNP A52264 1540 5 56 56 CD A52264 1540 6 deg deg NN A52264 1540 7 . . . A52264 1541 1 44 44 CD A52264 1541 2 min min NN A52264 1541 3 . . . A52264 1542 1 to to TO A52264 1542 2 finde finde NNP A52264 1542 3 the the DT A52264 1542 4 obtuse obtuse JJ A52264 1542 5 angle angle NN A52264 1542 6 ABC ABC NNP A52264 1542 7 . . . A52264 1543 1 The the DT A52264 1543 2 perpendicular perpendicular JJ A52264 1543 3 BF bf NN A52264 1543 4 falling fall VBG A52264 1543 5 within within IN A52264 1543 6 the the DT A52264 1543 7 triangle triangle NN A52264 1543 8 , , , A52264 1543 9 then then RB A52264 1543 10 in in IN A52264 1543 11 the the DT A52264 1543 12 right right NN A52264 1543 13 angled angle VBN A52264 1543 14 triangle triangle NN A52264 1543 15 ABF ABF NNP A52264 1543 16 , , , A52264 1543 17 we -PRON- PRP A52264 1543 18 have have VBP A52264 1543 19 knowne knowne NNP A52264 1543 20 the the DT A52264 1543 21 hypothenusal hypothenusal NN A52264 1543 22 AB AB NNP A52264 1543 23 , , , A52264 1543 24 and and CC A52264 1543 25 the the DT A52264 1543 26 angle angle NN A52264 1543 27 at at IN A52264 1543 28 A A NNP A52264 1543 29 , , , A52264 1543 30 to to TO A52264 1543 31 finde finde VB A52264 1543 32 the the DT A52264 1543 33 angle angle NN A52264 1543 34 ABF ABF NNP A52264 1543 35 , , , A52264 1543 36 I -PRON- PRP A52264 1543 37 say say VBP A52264 1543 38 then then RB A52264 1543 39 , , , A52264 1543 40 As as IN A52264 1543 41 the the DT A52264 1543 42 Radius Radius NNP A52264 1543 43 90 90 CD A52264 1543 44 , , , A52264 1543 45 10.000000 10.000000 CD A52264 1543 46 Is be VBZ A52264 1543 47 to to IN A52264 1543 48 the the DT A52264 1543 49 co co NN A52264 1543 50 - - NN A52264 1543 51 sine sine NN A52264 1543 52 of of IN A52264 1543 53 AB AB NNP A52264 1543 54 38.47 38.47 CD A52264 1543 55 . . . A52264 1544 1 9 9 CD A52264 1544 2 ● ● CD A52264 1544 3 93725 93725 CD A52264 1544 4 So so RB A52264 1544 5 is be VBZ A52264 1544 6 the the DT A52264 1544 7 tangent tangent NN A52264 1544 8 of of IN A52264 1544 9 BAF BAF NNP A52264 1544 10 56.44 56.44 CD A52264 1544 11 . . . A52264 1545 1 10.178229 10.178229 CD A52264 1545 2 To to IN A52264 1545 3 the the DT A52264 1545 4 co co JJ A52264 1545 5 - - NN A52264 1545 6 tang tang JJ A52264 1545 7 . . . A52264 1546 1 of of IN A52264 1546 2 ABF ABF NNP A52264 1546 3 40.28 40.28 CD A52264 1546 4 . . . A52264 1547 1 10.071954 10.071954 CD A52264 1547 2 Secondly secondly RB A52264 1547 3 , , , A52264 1547 4 to to TO A52264 1547 5 finde finde NN A52264 1547 6 FBC FBC NNP A52264 1547 7 , , , A52264 1547 8 I -PRON- PRP A52264 1547 9 say say VBP A52264 1547 10 : : : A52264 1547 11 As as IN A52264 1547 12 the the DT A52264 1547 13 co co NN A52264 1547 14 - - NN A52264 1547 15 tangent tangent NN A52264 1547 16 of of IN A52264 1547 17 AB AB NNP A52264 1547 18 38.47 38.47 CD A52264 1547 19 . . . A52264 1548 1 9.900138 9.900138 CD A52264 1548 2 To to IN A52264 1548 3 the the DT A52264 1548 4 co co NN A52264 1548 5 - - NN A52264 1548 6 tangent tangent NN A52264 1548 7 of of IN A52264 1548 8 BC BC NNP A52264 1548 9 57.53 57.53 CD A52264 1548 10 . . . A52264 1549 1 9 9 CD A52264 1549 2 . . . A52264 1550 1 ● ● NFP A52264 1550 2 03686 03686 CD A52264 1550 3 So so RB A52264 1550 4 is be VBZ A52264 1550 5 the the DT A52264 1550 6 co co JJ A52264 1550 7 - - NN A52264 1550 8 sine sine NN A52264 1550 9 of of IN A52264 1550 10 ABF ABF NNP A52264 1550 11 40.28 40.28 CD A52264 1550 12 . . . A52264 1551 1 9.882464 9.882464 CD A52264 1551 2 To to IN A52264 1551 3 the the DT A52264 1551 4 co co NN A52264 1551 5 - - NN A52264 1551 6 sine sine NN A52264 1551 7 of of IN A52264 1551 8 FBC FBC NNP A52264 1551 9 67.32 67.32 CD A52264 1551 10 . . . A52264 1552 1 9.586288 9.586288 CD A52264 1552 2 Now now RB A52264 1552 3 because because IN A52264 1552 4 the the DT A52264 1552 5 perpendicular perpendicular JJ A52264 1552 6 falls fall VBZ A52264 1552 7 within within IN A52264 1552 8 the the DT A52264 1552 9 triangle triangle NN A52264 1552 10 , , , A52264 1552 11 I -PRON- PRP A52264 1552 12 adde adde VBP A52264 1552 13 the the DT A52264 1552 14 first first JJ A52264 1552 15 arch arch NN A52264 1552 16 found find VBD A52264 1552 17 ABF ABF NNP A52264 1552 18 40 40 CD A52264 1552 19 degrees degree NNS A52264 1552 20 , , , A52264 1552 21 28 28 CD A52264 1552 22 minutes minute NNS A52264 1552 23 , , , A52264 1552 24 to to IN A52264 1552 25 the the DT A52264 1552 26 second second JJ A52264 1552 27 arch arch NN A52264 1552 28 found find VBD A52264 1552 29 FBC FBC NNP A52264 1552 30 67 67 CD A52264 1552 31 degrees degree NNS A52264 1552 32 , , , A52264 1552 33 32 32 CD A52264 1552 34 minutes minute NNS A52264 1552 35 , , , A52264 1552 36 and and CC A52264 1552 37 their -PRON- PRP$ A52264 1552 38 aggregate aggregate NN A52264 1552 39 is be VBZ A52264 1552 40 107 107 CD A52264 1552 41 degr degr NN A52264 1552 42 . . . A52264 1553 1 60 60 CD A52264 1553 2 min min NN A52264 1553 3 . . . A52264 1554 1 the the DT A52264 1554 2 angle angle NN A52264 1554 3 ABC ABC NNP A52264 1554 4 required require VBD A52264 1554 5 . . . A52264 1555 1 CASE CASE NNP A52264 1555 2 9 9 CD A52264 1555 3 . . . A52264 1556 1 Two two CD A52264 1556 2 angles angle NNS A52264 1556 3 and and CC A52264 1556 4 a a DT A52264 1556 5 side side NN A52264 1556 6 opposite opposite RB A52264 1556 7 to to IN A52264 1556 8 one one CD A52264 1556 9 of of IN A52264 1556 10 them -PRON- PRP A52264 1556 11 being be VBG A52264 1556 12 given give VBN A52264 1556 13 , , , A52264 1556 14 to to TO A52264 1556 15 finde finde NNP A52264 1556 16 the the DT A52264 1556 17 third third JJ A52264 1556 18 angle angle NN A52264 1556 19 . . . A52264 1557 1 First first RB A52264 1557 2 , , , A52264 1557 3 by by IN A52264 1557 4 the the DT A52264 1557 5 ninth ninth JJ A52264 1557 6 case case NN A52264 1557 7 of of IN A52264 1557 8 right right JJ A52264 1557 9 angled angle VBN A52264 1557 10 spherical spherical JJ A52264 1557 11 triangles triangle NNS A52264 1557 12 , , , A52264 1557 13 I -PRON- PRP A52264 1557 14 say say VBP A52264 1557 15 : : : A52264 1557 16 As as IN A52264 1557 17 the the DT A52264 1557 18 Radius Radius NNP A52264 1557 19 , , , A52264 1557 20 to to IN A52264 1557 21 the the DT A52264 1557 22 co co NN A52264 1557 23 - - NN A52264 1557 24 sine sine NN A52264 1557 25 of of IN A52264 1557 26 the the DT A52264 1557 27 hypothenusal hypothenusal NN A52264 1557 28 ; ; : A52264 1557 29 so so CC A52264 1557 30 the the DT A52264 1557 31 tangent tangent NN A52264 1557 32 of of IN A52264 1557 33 the the DT A52264 1557 34 angle angle NN A52264 1557 35 at at IN A52264 1557 36 the the DT A52264 1557 37 base base NN A52264 1557 38 , , , A52264 1557 39 to to IN A52264 1557 40 the the DT A52264 1557 41 co co NN A52264 1557 42 - - NN A52264 1557 43 tangent tangent NN A52264 1557 44 of of IN A52264 1557 45 the the DT A52264 1557 46 angle angle NN A52264 1557 47 at at IN A52264 1557 48 the the DT A52264 1557 49 perpendicular perpendicular NN A52264 1557 50 . . . A52264 1558 1 Then then RB A52264 1558 2 by by IN A52264 1558 3 the the DT A52264 1558 4 third third JJ A52264 1558 5 Consectary Consectary NNP A52264 1558 6 of of IN A52264 1558 7 this this DT A52264 1558 8 Chapter chapter NN A52264 1558 9 , , , A52264 1558 10 the the DT A52264 1558 11 proportion proportion NN A52264 1558 12 is be VBZ A52264 1558 13 . . . A52264 1559 1 〈 〈 NNP A52264 1559 2 ◊ ◊ NNP A52264 1559 3 〉 〉 NNP A52264 1559 4 the the DT A52264 1559 5 co co NN A52264 1559 6 - - NN A52264 1559 7 sine sine NN A52264 1559 8 of of IN A52264 1559 9 the the DT A52264 1559 10 first first JJ A52264 1559 11 angle angle NN A52264 1559 12 at at IN A52264 1559 13 the the DT A52264 1559 14 base base NN A52264 1559 15 , , , A52264 1559 16 to to IN A52264 1559 17 the the DT A52264 1559 18 co co NN A52264 1559 19 - - NN A52264 1559 20 sine sine NN A52264 1559 21 of of IN A52264 1559 22 the the DT A52264 1559 23 second second JJ A52264 1559 24 ; ; : A52264 1559 25 so so RB A52264 1559 26 is be VBZ A52264 1559 27 the the DT A52264 1559 28 sine sine NN A52264 1559 29 of of IN A52264 1559 30 the the DT A52264 1559 31 first first JJ A52264 1559 32 angle angle NN A52264 1559 33 at at IN A52264 1559 34 the the DT A52264 1559 35 perpendicular perpendicular NN A52264 1559 36 , , , A52264 1559 37 to to IN A52264 1559 38 the the DT A52264 1559 39 sine sine NN A52264 1559 40 of of IN A52264 1559 41 the the DT A52264 1559 42 second second JJ A52264 1559 43 : : : A52264 1559 44 which which WDT A52264 1559 45 being be VBG A52264 1559 46 added add VBN A52264 1559 47 to to IN A52264 1559 48 , , , A52264 1559 49 or or CC A52264 1559 50 substracted substracte VBN A52264 1559 51 from from IN A52264 1559 52 the the DT A52264 1559 53 first first JJ A52264 1559 54 arch arch NN A52264 1559 55 found find VBD A52264 1559 56 , , , A52264 1559 57 according accord VBG A52264 1559 58 to to IN A52264 1559 59 the the DT A52264 1559 60 ● ● NFP A52264 1559 61 i i PRP A52264 1559 62 ● ● NFP A52264 1559 63 ect ect VBP A52264 1559 64 ● ● NFP A52264 1559 65 on on IN A52264 1559 66 following follow VBG A52264 1559 67 , , , A52264 1559 68 their -PRON- PRP$ A52264 1559 69 summe summe NN A52264 1559 70 or or CC A52264 1559 71 difference difference NN A52264 1559 72 is be VBZ A52264 1559 73 the the DT A52264 1559 74 angle angle NN A52264 1559 75 sought seek VBN A52264 1559 76 . . . A52264 1560 1 If if IN A52264 1560 2 the the DT A52264 1560 3 perpendicular perpendicular JJ A52264 1560 4 fall fall NN A52264 1560 5 Within within IN A52264 1560 6 the the DT A52264 1560 7 triangle triangle NN A52264 1560 8 , , , A52264 1560 9 adde adde NNP A52264 1560 10 both both DT A52264 1560 11 arches arch VBZ A52264 1560 12 together together RB A52264 1560 13 . . . A52264 1561 1 Without without IN A52264 1561 2 , , , A52264 1561 3 and and CC A52264 1561 4 the the DT A52264 1561 5 angle angle NN A52264 1561 6 opposite opposite RB A52264 1561 7 to to IN A52264 1561 8 the the DT A52264 1561 9 given give VBN A52264 1561 10 side side NN A52264 1561 11 acute acute NN A52264 1561 12 , , , A52264 1561 13 substract substract VB A52264 1561 14 the the DT A52264 1561 15 first first JJ A52264 1561 16 from from IN A52264 1561 17 the the DT A52264 1561 18 second second JJ A52264 1561 19 arch arch NN A52264 1561 20 . . . A52264 1562 1 Without without IN A52264 1562 2 , , , A52264 1562 3 and and CC A52264 1562 4 the the DT A52264 1562 5 angle angle NN A52264 1562 6 opposite opposite RB A52264 1562 7 to to IN A52264 1562 8 the the DT A52264 1562 9 given give VBN A52264 1562 10 side side NN A52264 1562 11 obtuse obtuse NN A52264 1562 12 , , , A52264 1562 13 substract substract VB A52264 1562 14 the the DT A52264 1562 15 second second JJ A52264 1562 16 from from IN A52264 1562 17 the the DT A52264 1562 18 first first JJ A52264 1562 19 . . . A52264 1563 1 1 1 LS A52264 1563 2 . . . A52264 1564 1 Example example NN A52264 1564 2 . . . A52264 1565 1 In in IN A52264 1565 2 the the DT A52264 1565 3 oblique oblique NN A52264 1565 4 angled angle VBN A52264 1565 5 Triangle Triangle NNP A52264 1565 6 ABC ABC NNP A52264 1565 7 , , , A52264 1565 8 let let VB A52264 1565 9 there there EX A52264 1565 10 be be VB A52264 1565 11 given give VBN A52264 1565 12 the the DT A52264 1565 13 angle angle NN A52264 1565 14 BAC BAC NNP A52264 1565 15 56 56 CD A52264 1565 16 deg deg NN A52264 1565 17 . . . A52264 1566 1 44 44 CD A52264 1566 2 min min NN A52264 1566 3 . . . A52264 1567 1 and and CC A52264 1567 2 ACB ACB NNP A52264 1567 3 37 37 CD A52264 1567 4 deg deg NN A52264 1567 5 . . . A52264 1568 1 92 92 CD A52264 1568 2 min min NN A52264 1568 3 . . . A52264 1569 1 and and CC A52264 1569 2 the the DT A52264 1569 3 side side NN A52264 1569 4 AB AB NNP A52264 1569 5 38 38 CD A52264 1569 6 deg deg NN A52264 1569 7 . . . A52264 1570 1 47 47 CD A52264 1570 2 min min NN A52264 1570 3 . . . A52264 1571 1 to to TO A52264 1571 2 finde finde NNP A52264 1571 3 the the DT A52264 1571 4 angle angle NN A52264 1571 5 ABC ABC NNP A52264 1571 6 . . . A52264 1572 1 First first RB A52264 1572 2 , , , A52264 1572 3 let let VB A52264 1572 4 fall fall VB A52264 1572 5 the the DT A52264 1572 6 perpendicular perpendicular JJ A52264 1572 7 FB FB NNP A52264 1572 8 , , , A52264 1572 9 then then RB A52264 1572 10 in in IN A52264 1572 11 the the DT A52264 1572 12 right right NN A52264 1572 13 angled angle VBN A52264 1572 14 triangle triangle NN A52264 1572 15 AFB AFB NNP A52264 1572 16 we -PRON- PRP A52264 1572 17 have have VBP A52264 1572 18 known know VBN A52264 1572 19 , , , A52264 1572 20 the the DT A52264 1572 21 hypothenusal hypothenusal NN A52264 1572 22 AB AB NNP A52264 1572 23 , , , A52264 1572 24 and and CC A52264 1572 25 the the DT A52264 1572 26 angle angle NN A52264 1572 27 at at IN A52264 1572 28 A A NNP A52264 1572 29 , , , A52264 1572 30 to to TO A52264 1572 31 finde finde VB A52264 1572 32 the the DT A52264 1572 33 angle angle NN A52264 1572 34 ABF ABF NNP A52264 1572 35 , , , A52264 1572 36 for for IN A52264 1572 37 which which WDT A52264 1572 38 I -PRON- PRP A52264 1572 39 say say VBP A52264 1572 40 , , , A52264 1572 41 As as IN A52264 1572 42 Radius Radius NNP A52264 1572 43 , , , A52264 1572 44 90 90 CD A52264 1572 45 deg deg NN A52264 1572 46 . . . A52264 1573 1 10.000000 10.000000 CD A52264 1573 2 To to TO A52264 1573 3 co co VB A52264 1573 4 - - VB A52264 1573 5 sine sine NN A52264 1573 6 of of IN A52264 1573 7 AB AB NNP A52264 1573 8 , , , A52264 1573 9 38.47 38.47 CD A52264 1573 10 9 9 CD A52264 1573 11 . . . A52264 1574 1 893 893 CD A52264 1574 2 ● ● SYM A52264 1574 3 26 26 CD A52264 1574 4 So so RB A52264 1574 5 the the DT A52264 1574 6 tangent tangent NN A52264 1574 7 of of IN A52264 1574 8 BAF BAF NNP A52264 1574 9 , , , A52264 1574 10 56 56 CD A52264 1574 11 . . . A52264 1575 1 ● ● NFP A52264 1575 2 4 4 CD A52264 1575 3 10.178229 10.178229 CD A52264 1575 4 To to IN A52264 1575 5 the the DT A52264 1575 6 co co NN A52264 1575 7 - - NN A52264 1575 8 tangent tangent NN A52264 1575 9 of of IN A52264 1575 10 ABF ABF NNP A52264 1575 11 , , , A52264 1575 12 40.28 40.28 CD A52264 1575 13 . . . A52264 1576 1 10.071955 10.071955 CD A52264 1576 2 Secondly secondly RB A52264 1576 3 , , , A52264 1576 4 to to TO A52264 1576 5 finde finde NN A52264 1576 6 FBC FBC NNP A52264 1576 7 , , , A52264 1576 8 I -PRON- PRP A52264 1576 9 say say VBP A52264 1576 10 , , , A52264 1576 11 As as IN A52264 1576 12 the the DT A52264 1576 13 co co NN A52264 1576 14 - - NN A52264 1576 15 sine sine NN A52264 1576 16 of of IN A52264 1576 17 BAF BAF NNP A52264 1576 18 , , , A52264 1576 19 56.44 56.44 CD A52264 1576 20 0.257424 0.257424 CD A52264 1576 21 . . . A52264 1577 1 To to IN A52264 1577 2 the the DT A52264 1577 3 co co NN A52264 1577 4 - - NN A52264 1577 5 sine sine NN A52264 1577 6 of of IN A52264 1577 7 ACB ACB NNP A52264 1577 8 , , , A52264 1577 9 37.92 37.92 CD A52264 1577 10 9 9 CD A52264 1577 11 . . . A52264 1578 1 8970 8970 CD A52264 1578 2 ● ● SYM A52264 1578 3 5 5 CD A52264 1578 4 So so RB A52264 1578 5 is be VBZ A52264 1578 6 the the DT A52264 1578 7 sine sine NN A52264 1578 8 of of IN A52264 1578 9 ABF ABF NNP A52264 1578 10 , , , A52264 1578 11 40.28 40.28 CD A52264 1578 12 9.810584 9.810584 CD A52264 1578 13 To to IN A52264 1578 14 the the DT A52264 1578 15 sine sine NN A52264 1578 16 of of IN A52264 1578 17 FBC FBC NNP A52264 1578 18 , , , A52264 1578 19 67.32 67.32 CD A52264 1578 20 9.965013 9.965013 CD A52264 1578 21 Now now RB A52264 1578 22 because because IN A52264 1578 23 the the DT A52264 1578 24 perpendicular perpendicular JJ A52264 1578 25 fals fal NNS A52264 1578 26 within within IN A52264 1578 27 the the DT A52264 1578 28 Triangle Triangle NNP A52264 1578 29 , , , A52264 1578 30 I -PRON- PRP A52264 1578 31 adde adde VBP A52264 1578 32 the the DT A52264 1578 33 first first JJ A52264 1578 34 arch arch NN A52264 1578 35 found find VBD A52264 1578 36 ABF ABF NNP A52264 1578 37 40 40 CD A52264 1578 38 deg deg NN A52264 1578 39 . . . A52264 1579 1 28 28 CD A52264 1579 2 min min NN A52264 1579 3 . . . A52264 1580 1 to to IN A52264 1580 2 the the DT A52264 1580 3 second second JJ A52264 1580 4 arch arch NN A52264 1580 5 found find VBD A52264 1580 6 FBC FBC NNP A52264 1580 7 67 67 CD A52264 1580 8 deg deg NN A52264 1580 9 . . . A52264 1581 1 32 32 CD A52264 1581 2 min min NN A52264 1581 3 . . . A52264 1582 1 and and CC A52264 1582 2 their -PRON- PRP$ A52264 1582 3 aggregate aggregate NN A52264 1582 4 is be VBZ A52264 1582 5 107 107 CD A52264 1582 6 deg deg NN A52264 1582 7 . . . A52264 1583 1 60 60 CD A52264 1583 2 min min NN A52264 1583 3 . . . A52264 1584 1 the the DT A52264 1584 2 angle angle NN A52264 1584 3 ABC ABC NNP A52264 1584 4 required require VBD A52264 1584 5 . . . A52264 1585 1 2 2 LS A52264 1585 2 . . . A52264 1586 1 Example example NN A52264 1586 2 . . . A52264 1587 1 In in IN A52264 1587 2 the the DT A52264 1587 3 same same JJ A52264 1587 4 Triangle Triangle NNP A52264 1587 5 let let VB A52264 1587 6 there there EX A52264 1587 7 be be VB A52264 1587 8 given give VBN A52264 1587 9 the the DT A52264 1587 10 angle angle NN A52264 1587 11 ACB ACB NNP A52264 1587 12 37 37 CD A52264 1587 13 deg deg NN A52264 1587 14 . . . A52264 1588 1 92 92 CD A52264 1588 2 min min NN A52264 1588 3 . . . A52264 1589 1 and and CC A52264 1589 2 ABC ABC NNP A52264 1589 3 107 107 NNP A52264 1589 4 deg deg NNP A52264 1589 5 . . . A52264 1590 1 60 60 CD A52264 1590 2 min min NN A52264 1590 3 . . . A52264 1591 1 and and CC A52264 1591 2 the the DT A52264 1591 3 side side NN A52264 1591 4 AB AB NNP A52264 1591 5 38 38 CD A52264 1591 6 deg deg NN A52264 1591 7 . . . A52264 1592 1 47 47 CD A52264 1592 2 min min NN A52264 1592 3 . . . A52264 1593 1 to to TO A52264 1593 2 finde finde NNP A52264 1593 3 the the DT A52264 1593 4 angle angle NN A52264 1593 5 BAC BAC NNP A52264 1593 6 . . . A52264 1594 1 First first RB A52264 1594 2 , , , A52264 1594 3 let let VB A52264 1594 4 fall fall VB A52264 1594 5 the the DT A52264 1594 6 perpendicular perpendicular JJ A52264 1594 7 AE AE NNP A52264 1594 8 , , , A52264 1594 9 and and CC A52264 1594 10 let let VB A52264 1594 11 the the DT A52264 1594 12 side side NN A52264 1594 13 BC BC NNP A52264 1594 14 be be VB A52264 1594 15 continued continue VBN A52264 1594 16 to to TO A52264 1594 17 E e NN A52264 1594 18 , , , A52264 1594 19 then then RB A52264 1594 20 in in IN A52264 1594 21 the the DT A52264 1594 22 right right NN A52264 1594 23 angled angle VBN A52264 1594 24 triangle triangle NN A52264 1594 25 AEB AEB NNP A52264 1594 26 we -PRON- PRP A52264 1594 27 have have VBP A52264 1594 28 known know VBN A52264 1594 29 the the DT A52264 1594 30 Hypothenusal Hypothenusal NNP A52264 1594 31 AB AB NNP A52264 1594 32 , , , A52264 1594 33 and and CC A52264 1594 34 the the DT A52264 1594 35 angle angle NN A52264 1594 36 at at IN A52264 1594 37 B b NN A52264 1594 38 , , , A52264 1594 39 72 72 CD A52264 1594 40 deg deg NN A52264 1594 41 . . . A52264 1595 1 40 40 CD A52264 1595 2 min min NN A52264 1595 3 . . . A52264 1596 1 the the DT A52264 1596 2 complement complement NN A52264 1596 3 of of IN A52264 1596 4 ABC ABC NNP A52264 1596 5 , , , A52264 1596 6 to to IN A52264 1596 7 finde finde NNP A52264 1596 8 EAB EAB NNP A52264 1596 9 , , , A52264 1596 10 I -PRON- PRP A52264 1596 11 say say VBP A52264 1596 12 then then RB A52264 1596 13 , , , A52264 1596 14 As as IN A52264 1596 15 the the DT A52264 1596 16 Radius Radius NNP A52264 1596 17 90 90 CD A52264 1596 18 , , , A52264 1596 19 10.000000 10.000000 CD A52264 1596 20 To to IN A52264 1596 21 the the DT A52264 1596 22 co co NN A52264 1596 23 - - NN A52264 1596 24 sine sine NN A52264 1596 25 of of IN A52264 1596 26 AB AB NNP A52264 1596 27 , , , A52264 1596 28 38.47 38.47 CD A52264 1596 29 9.893726 9.893726 CD A52264 1596 30 So so RB A52264 1596 31 is be VBZ A52264 1596 32 the the DT A52264 1596 33 tangent tangent NN A52264 1596 34 of of IN A52264 1596 35 ABE ABE NNP A52264 1596 36 , , , A52264 1596 37 72.40 72.40 CD A52264 1596 38 10.498641 10.498641 CD A52264 1596 39 To to IN A52264 1596 40 the the DT A52264 1596 41 co co NN A52264 1596 42 - - NN A52264 1596 43 tangent tangent NN A52264 1596 44 of of IN A52264 1596 45 EAB EAB NNP A52264 1596 46 , , , A52264 1596 47 22 22 CD A52264 1596 48 . . . A52264 1597 1 ● ● NFP A52264 1597 2 6 6 CD A52264 1597 3 10,392367 10,392367 NNP A52264 1597 4 Secondly secondly RB A52264 1597 5 , , , A52264 1597 6 to to IN A52264 1597 7 finde finde NNP A52264 1597 8 EAC EAC NNP A52264 1597 9 , , , A52264 1597 10 I -PRON- PRP A52264 1597 11 say say VBP A52264 1597 12 , , , A52264 1597 13 As as IN A52264 1597 14 the the DT A52264 1597 15 co co NN A52264 1597 16 - - NN A52264 1597 17 sine sine NN A52264 1597 18 of of IN A52264 1597 19 ABE ABE NNP A52264 1597 20 , , , A52264 1597 21 72.40 72.40 CD A52264 1597 22 0.519462 0.519462 CD A52264 1597 23 To to IN A52264 1597 24 the the DT A52264 1597 25 co co NN A52264 1597 26 - - NN A52264 1597 27 sine sine NN A52264 1597 28 of of IN A52264 1597 29 ACB ACB NNP A52264 1597 30 , , , A52264 1597 31 37.92 37.92 CD A52264 1597 32 9.897005 9.897005 CD A52264 1597 33 So so RB A52264 1597 34 is be VBZ A52264 1597 35 the the DT A52264 1597 36 sine sine NN A52264 1597 37 of of IN A52264 1597 38 EAB EAB NNP A52264 1597 39 , , , A52264 1597 40 22.6 22.6 CD A52264 1597 41 9.574699 9.574699 CD A52264 1597 42 To to IN A52264 1597 43 the the DT A52264 1597 44 sine sine NN A52264 1597 45 of of IN A52264 1597 46 EAC EAC NNP A52264 1597 47 78.49 78.49 CD A52264 1597 48 9 9 CD A52264 1597 49 . . . A52264 1598 1 99 99 CD A52264 1598 2 ● ● CD A52264 1598 3 166 166 CD A52264 1598 4 Now now RB A52264 1598 5 because because IN A52264 1598 6 the the DT A52264 1598 7 perpendicular perpendicular JJ A52264 1598 8 falls fall VBZ A52264 1598 9 without without IN A52264 1598 10 the the DT A52264 1598 11 triangle triangle NN A52264 1598 12 and and CC A52264 1598 13 the the DT A52264 1598 14 angle angle NN A52264 1598 15 opposite opposite RB A52264 1598 16 to to IN A52264 1598 17 the the DT A52264 1598 18 given give VBN A52264 1598 19 side side NN A52264 1598 20 acute acute NN A52264 1598 21 , , , A52264 1598 22 I -PRON- PRP A52264 1598 23 substract substract VBP A52264 1598 24 the the DT A52264 1598 25 first first JJ A52264 1598 26 angle angle NN A52264 1598 27 found find VBD A52264 1598 28 E. E. NNP A52264 1598 29 AB AB NNP A52264 1598 30 22 22 CD A52264 1598 31 deg deg NN A52264 1598 32 . . . A52264 1599 1 6 6 CD A52264 1599 2 min min NN A52264 1599 3 . . . A52264 1600 1 from from IN A52264 1600 2 the the DT A52264 1600 3 second second JJ A52264 1600 4 arch arch NN A52264 1600 5 found find VBD A52264 1600 6 78 78 CD A52264 1600 7 deg deg NN A52264 1600 8 . . . A52264 1601 1 49 49 CD A52264 1601 2 min min NN A52264 1601 3 . . . A52264 1602 1 and and CC A52264 1602 2 their -PRON- PRP$ A52264 1602 3 difference difference NN A52264 1602 4 56 56 CD A52264 1602 5 deg deg NN A52264 1602 6 . . . A52264 1603 1 43 43 CD A52264 1603 2 min min NN A52264 1603 3 . . . A52264 1604 1 is be VBZ A52264 1604 2 the the DT A52264 1604 3 angle angle NN A52264 1604 4 BAC BAC NNP A52264 1604 5 required require VBD A52264 1604 6 . . . A52264 1605 1 3 3 CD A52264 1605 2 Example example NN A52264 1605 3 . . . A52264 1606 1 In in IN A52264 1606 2 the the DT A52264 1606 3 same same JJ A52264 1606 4 triangle triangle NN A52264 1606 5 ABC ABC NNP A52264 1606 6 , , , A52264 1606 7 let let VB A52264 1606 8 there there EX A52264 1606 9 be be VB A52264 1606 10 given give VBN A52264 1606 11 the the DT A52264 1606 12 angles angle NNS A52264 1606 13 ACB ACB NNP A52264 1606 14 37 37 CD A52264 1606 15 deg deg NN A52264 1606 16 . . . A52264 1607 1 92 92 CD A52264 1607 2 min min NN A52264 1607 3 . . . A52264 1608 1 and and CC A52264 1608 2 ABC ABC NNP A52264 1608 3 107 107 NNP A52264 1608 4 deg deg NNP A52264 1608 5 . . . A52264 1609 1 60 60 CD A52264 1609 2 min min NN A52264 1609 3 . . . A52264 1610 1 and and CC A52264 1610 2 the the DT A52264 1610 3 side side NN A52264 1610 4 AC AC NNP A52264 1610 5 74 74 CD A52264 1610 6 deg deg NN A52264 1610 7 . . . A52264 1611 1 84 84 CD A52264 1611 2 min min NN A52264 1611 3 . . . A52264 1612 1 to to TO A52264 1612 2 finde finde NNP A52264 1612 3 the the DT A52264 1612 4 angle angle NN A52264 1612 5 BAC BAC NNP A52264 1612 6 . . . A52264 1613 1 Let let VB A52264 1613 2 fall fall VB A52264 1613 3 the the DT A52264 1613 4 perpendicular perpendicular JJ A52264 1613 5 AE AE NNP A52264 1613 6 , , , A52264 1613 7 and and CC A52264 1613 8 then then RB A52264 1613 9 in in IN A52264 1613 10 the the DT A52264 1613 11 right right NN A52264 1613 12 angled angle VBN A52264 1613 13 triangle triangle NNP A52264 1613 14 AEC AEC NNP A52264 1613 15 , , , A52264 1613 16 we -PRON- PRP A52264 1613 17 have have VBP A52264 1613 18 known know VBN A52264 1613 19 the the DT A52264 1613 20 hypothenusal hypothenusal NN A52264 1613 21 AC AC NNP A52264 1613 22 , , , A52264 1613 23 and and CC A52264 1613 24 the the DT A52264 1613 25 angle angle NN A52264 1613 26 ACB ACB NNP A52264 1613 27 , , , A52264 1613 28 to to TO A52264 1613 29 finde finde VB A52264 1613 30 the the DT A52264 1613 31 angle angle NN A52264 1613 32 EAC EAC NNP A52264 1613 33 . . . A52264 1614 1 As as IN A52264 1614 2 the the DT A52264 1614 3 Radius Radius NNP A52264 1614 4 90 90 CD A52264 1614 5 , , , A52264 1614 6 10.000000 10.000000 CD A52264 1614 7 To to IN A52264 1614 8 the the DT A52264 1614 9 co co NN A52264 1614 10 - - NN A52264 1614 11 sine sine NN A52264 1614 12 of of IN A52264 1614 13 AC AC NNP A52264 1614 14 , , , A52264 1614 15 74.84 74.84 CD A52264 1614 16 9.417497 9.417497 CD A52264 1614 17 So so RB A52264 1614 18 is be VBZ A52264 1614 19 the the DT A52264 1614 20 tangent tangent NN A52264 1614 21 of of IN A52264 1614 22 ACE ACE NNP A52264 1614 23 , , , A52264 1614 24 37.92 37.92 CD A52264 1614 25 9.891559 9.891559 CD A52264 1614 26 To to IN A52264 1614 27 the the DT A52264 1614 28 co co NN A52264 1614 29 - - NN A52264 1614 30 tangent tangent NN A52264 1614 31 of of IN A52264 1614 32 EAC EAC NNP A52264 1614 33 , , , A52264 1614 34 78.49 78.49 CD A52264 1614 35 9 9 CD A52264 1614 36 . . . A52264 1615 1 3090 3090 CD A52264 1615 2 ● ● NFP A52264 1615 3 6 6 CD A52264 1615 4 Secondly secondly RB A52264 1615 5 , , , A52264 1615 6 to to IN A52264 1615 7 finde finde NNP A52264 1615 8 EAB EAB NNP A52264 1615 9 , , , A52264 1615 10 I -PRON- PRP A52264 1615 11 say say VBP A52264 1615 12 , , , A52264 1615 13 As as IN A52264 1615 14 the the DT A52264 1615 15 co co NN A52264 1615 16 - - NN A52264 1615 17 sine sine NN A52264 1615 18 of of IN A52264 1615 19 ACE ACE NNP A52264 1615 20 , , , A52264 1615 21 37.92 37.92 CD A52264 1615 22 0 0 CD A52264 1615 23 . . . A52264 1616 1 102 102 CD A52264 1616 2 ● ● SYM A52264 1616 3 95 95 CD A52264 1616 4 To to IN A52264 1616 5 the the DT A52264 1616 6 co co NN A52264 1616 7 - - NN A52264 1616 8 sine sine NN A52264 1616 9 of of IN A52264 1616 10 ABE ABE NNP A52264 1616 11 , , , A52264 1616 12 72.40 72.40 CD A52264 1616 13 9.480538 9.480538 CD A52264 1616 14 So so RB A52264 1616 15 is be VBZ A52264 1616 16 the the DT A52264 1616 17 sine sine NN A52264 1616 18 of of IN A52264 1616 19 EAC EAC NNP A52264 1616 20 , , , A52264 1616 21 78.49 78.49 CD A52264 1616 22 9.991177 9.991177 CD A52264 1616 23 To to IN A52264 1616 24 the the DT A52264 1616 25 sine sine NN A52264 1616 26 of of IN A52264 1616 27 EAB EAB NNP A52264 1616 28 , , , A52264 1616 29 22.6 22.6 CD A52264 1616 30 9.574790 9.574790 CD A52264 1616 31 Now now RB A52264 1616 32 because because IN A52264 1616 33 the the DT A52264 1616 34 perpendicular perpendicular JJ A52264 1616 35 falls fall VBZ A52264 1616 36 without without IN A52264 1616 37 the the DT A52264 1616 38 Triangle Triangle NNP A52264 1616 39 , , , A52264 1616 40 and and CC A52264 1616 41 the the DT A52264 1616 42 angle angle NN A52264 1616 43 opposite opposite RB A52264 1616 44 to to IN A52264 1616 45 the the DT A52264 1616 46 given give VBN A52264 1616 47 side side NN A52264 1616 48 obtuse obtuse NN A52264 1616 49 , , , A52264 1616 50 therefore therefore RB A52264 1616 51 I -PRON- PRP A52264 1616 52 substract substract VBP A52264 1616 53 the the DT A52264 1616 54 second second JJ A52264 1616 55 arch arch NN A52264 1616 56 found find VBD A52264 1616 57 EAB EAB NNP A52264 1616 58 , , , A52264 1616 59 22 22 CD A52264 1616 60 deg deg NN A52264 1616 61 . . . A52264 1617 1 6 6 CD A52264 1617 2 min min NN A52264 1617 3 . . . A52264 1618 1 from from IN A52264 1618 2 the the DT A52264 1618 3 first first JJ A52264 1618 4 arch arch NN A52264 1618 5 found find VBD A52264 1618 6 , , , A52264 1618 7 EAC EAC NNP A52264 1618 8 78 78 CD A52264 1618 9 deg deg NNP A52264 1618 10 . . . A52264 1619 1 49 49 CD A52264 1619 2 min min NN A52264 1619 3 . . . A52264 1620 1 and and CC A52264 1620 2 their -PRON- PRP$ A52264 1620 3 difference difference NN A52264 1620 4 56 56 CD A52264 1620 5 deg deg NN A52264 1620 6 . . . A52264 1621 1 43 43 CD A52264 1621 2 min min NN A52264 1621 3 . . . A52264 1622 1 is be VBZ A52264 1622 2 the the DT A52264 1622 3 angle angle NN A52264 1622 4 BAC BAC NNP A52264 1622 5 required require VBD A52264 1622 6 . . . A52264 1623 1 CASE CASE NNP A52264 1623 2 10 10 CD A52264 1623 3 . . . A52264 1624 1 Two two CD A52264 1624 2 angles angle NNS A52264 1624 3 , , , A52264 1624 4 and and CC A52264 1624 5 a a DT A52264 1624 6 side side NN A52264 1624 7 opposite opposite RB A52264 1624 8 to to IN A52264 1624 9 one one CD A52264 1624 10 of of IN A52264 1624 11 them -PRON- PRP A52264 1624 12 being be VBG A52264 1624 13 given give VBN A52264 1624 14 , , , A52264 1624 15 to to TO A52264 1624 16 finde finde VB A52264 1624 17 the the DT A52264 1624 18 side side NN A52264 1624 19 between between IN A52264 1624 20 them -PRON- PRP A52264 1624 21 . . . A52264 1625 1 First first RB A52264 1625 2 , , , A52264 1625 3 by by IN A52264 1625 4 the the DT A52264 1625 5 7th 7th NN A52264 1625 6 . . . A52264 1626 1 Case case NN A52264 1626 2 of of IN A52264 1626 3 right right NN A52264 1626 4 angled angle VBN A52264 1626 5 Sphericall Sphericall NNP A52264 1626 6 Triangles Triangles NNP A52264 1626 7 , , , A52264 1626 8 I -PRON- PRP A52264 1626 9 say say VBP A52264 1626 10 , , , A52264 1626 11 As as IN A52264 1626 12 Radius Radius NNP A52264 1626 13 , , , A52264 1626 14 to to IN A52264 1626 15 the the DT A52264 1626 16 co co NN A52264 1626 17 - - NN A52264 1626 18 sine sine NN A52264 1626 19 of of IN A52264 1626 20 the the DT A52264 1626 21 angle angle NN A52264 1626 22 at at IN A52264 1626 23 the the DT A52264 1626 24 base base NN A52264 1626 25 ; ; : A52264 1626 26 so so RB A52264 1626 27 is be VBZ A52264 1626 28 the the DT A52264 1626 29 Tangent Tangent NNP A52264 1626 30 of of IN A52264 1626 31 the the DT A52264 1626 32 Hypothenusal Hypothenusal NNP A52264 1626 33 , , , A52264 1626 34 to to IN A52264 1626 35 the the DT A52264 1626 36 Tangent Tangent NNP A52264 1626 37 of of IN A52264 1626 38 the the DT A52264 1626 39 Base Base NNP A52264 1626 40 . . . A52264 1627 1 Then then RB A52264 1627 2 by by IN A52264 1627 3 the the DT A52264 1627 4 second second JJ A52264 1627 5 Consectary Consectary NNP A52264 1627 6 of of IN A52264 1627 7 this this DT A52264 1627 8 Chapter chapter NN A52264 1627 9 , , , A52264 1627 10 the the DT A52264 1627 11 proportion proportion NN A52264 1627 12 is be VBZ A52264 1627 13 , , , A52264 1627 14 As as IN A52264 1627 15 the the DT A52264 1627 16 co co NN A52264 1627 17 - - NN A52264 1627 18 tangent tangent NN A52264 1627 19 of of IN A52264 1627 20 the the DT A52264 1627 21 first first JJ A52264 1627 22 angle angle NN A52264 1627 23 at at IN A52264 1627 24 the the DT A52264 1627 25 base base NN A52264 1627 26 , , , A52264 1627 27 to to IN A52264 1627 28 the the DT A52264 1627 29 co co NN A52264 1627 30 - - NN A52264 1627 31 tangent tangent NN A52264 1627 32 of of IN A52264 1627 33 the the DT A52264 1627 34 second second JJ A52264 1627 35 ; ; : A52264 1627 36 so so RB A52264 1627 37 is be VBZ A52264 1627 38 the the DT A52264 1627 39 sine sine NN A52264 1627 40 of of IN A52264 1627 41 the the DT A52264 1627 42 first first JJ A52264 1627 43 base base NN A52264 1627 44 , , , A52264 1627 45 to to IN A52264 1627 46 the the DT A52264 1627 47 sine sine NN A52264 1627 48 of of IN A52264 1627 49 the the DT A52264 1627 50 second second JJ A52264 1627 51 : : : A52264 1627 52 which which WDT A52264 1627 53 being be VBG A52264 1627 54 added add VBN A52264 1627 55 to to IN A52264 1627 56 , , , A52264 1627 57 or or CC A52264 1627 58 substracted substracte VBN A52264 1627 59 from from IN A52264 1627 60 , , , A52264 1627 61 the the DT A52264 1627 62 first first JJ A52264 1627 63 arch arch NN A52264 1627 64 found find VBD A52264 1627 65 , , , A52264 1627 66 according accord VBG A52264 1627 67 to to IN A52264 1627 68 the the DT A52264 1627 69 direction direction NN A52264 1627 70 of of IN A52264 1627 71 the the DT A52264 1627 72 9th 9th NN A52264 1627 73 . . . A52264 1628 1 Case case NN A52264 1628 2 , , , A52264 1628 3 giveth giveth VBZ A52264 1628 4 the the DT A52264 1628 5 side side NN A52264 1628 6 required require VBN A52264 1628 7 . . . A52264 1629 1 Example example NN A52264 1629 2 . . . A52264 1630 1 In in IN A52264 1630 2 the the DT A52264 1630 3 oblique oblique NN A52264 1630 4 angled angle VBN A52264 1630 5 triangle triangle NNP A52264 1630 6 ABC ABC NNP A52264 1630 7 , , , A52264 1630 8 let let VB A52264 1630 9 there there EX A52264 1630 10 be be VB A52264 1630 11 given give VBN A52264 1630 12 the the DT A52264 1630 13 two two CD A52264 1630 14 angles angle NNS A52264 1630 15 BAC BAC NNP A52264 1630 16 56 56 CD A52264 1630 17 deg deg NN A52264 1630 18 . . . A52264 1631 1 44 44 CD A52264 1631 2 min min NN A52264 1631 3 . . . A52264 1632 1 and and CC A52264 1632 2 ACB ACB NNP A52264 1632 3 37 37 CD A52264 1632 4 deg deg NN A52264 1632 5 . . . A52264 1633 1 92 92 CD A52264 1633 2 min min NN A52264 1633 3 . . . A52264 1634 1 with with IN A52264 1634 2 the the DT A52264 1634 3 side side NN A52264 1634 4 BC BC NNP A52264 1634 5 57 57 CD A52264 1634 6 deg deg NNP A52264 1634 7 . . . A52264 1635 1 53 53 CD A52264 1635 2 min min NN A52264 1635 3 . . . A52264 1636 1 to to TO A52264 1636 2 finde finde NNP A52264 1636 3 the the DT A52264 1636 4 side side NN A52264 1636 5 AC AC NNP A52264 1636 6 . . . A52264 1637 1 Let let VB A52264 1637 2 fall fall VB A52264 1637 3 the the DT A52264 1637 4 perpendicular perpendicular JJ A52264 1637 5 BF BF NNP A52264 1637 6 , , , A52264 1637 7 then then RB A52264 1637 8 in in IN A52264 1637 9 the the DT A52264 1637 10 right right NN A52264 1637 11 angled angle VBN A52264 1637 12 triangle triangle NN A52264 1637 13 BCF BCF NNP A52264 1637 14 , , , A52264 1637 15 we -PRON- PRP A52264 1637 16 have have VBP A52264 1637 17 known know VBN A52264 1637 18 the the DT A52264 1637 19 Hypothenusal Hypothenusal NNP A52264 1637 20 BC BC NNP A52264 1637 21 , , , A52264 1637 22 and and CC A52264 1637 23 the the DT A52264 1637 24 angle angle NN A52264 1637 25 FCB FCB NNP A52264 1637 26 , , , A52264 1637 27 to to TO A52264 1637 28 finde finde VB A52264 1637 29 the the DT A52264 1637 30 base base NN A52264 1637 31 FC FC NNP A52264 1637 32 : : : A52264 1637 33 say say VB A52264 1637 34 then then RB A52264 1637 35 , , , A52264 1637 36 As as IN A52264 1637 37 the the DT A52264 1637 38 Radius Radius NNP A52264 1637 39 , , , A52264 1637 40 90 90 CD A52264 1637 41 10.000000 10.000000 CD A52264 1637 42 Is be VBZ A52264 1637 43 to to IN A52264 1637 44 the the DT A52264 1637 45 co co NN A52264 1637 46 - - NN A52264 1637 47 sine sine NN A52264 1637 48 of of IN A52264 1637 49 FCB FCB NNP A52264 1637 50 , , , A52264 1637 51 37.92 37.92 CD A52264 1637 52 9.897005 9.897005 CD A52264 1637 53 So so RB A52264 1637 54 is be VBZ A52264 1637 55 the the DT A52264 1637 56 tangent tangent NN A52264 1637 57 of of IN A52264 1637 58 BC BC NNP A52264 1637 59 , , , A52264 1637 60 57.53 57.53 CD A52264 1637 61 10.196314 10.196314 CD A52264 1637 62 To to IN A52264 1637 63 the the DT A52264 1637 64 tangent tangent NN A52264 1637 65 of of IN A52264 1637 66 FC FC NNP A52264 1637 67 , , , A52264 1637 68 51.11 51.11 CD A52264 1637 69 10.093319 10.093319 CD A52264 1637 70 Secondly secondly RB A52264 1637 71 , , , A52264 1637 72 to to IN A52264 1637 73 finde finde NNP A52264 1637 74 AF AF NNP A52264 1637 75 , , , A52264 1637 76 I -PRON- PRP A52264 1637 77 say say VBP A52264 1637 78 , , , A52264 1637 79 As as IN A52264 1637 80 co co JJ A52264 1637 81 - - JJ A52264 1637 82 tangent tangent JJ A52264 1637 83 FCB fcb NN A52264 1637 84 , , , A52264 1637 85 37.92 37.92 CD A52264 1637 86 , , , A52264 1637 87 co co VBD A52264 1637 88 . . . A52264 1638 1 ar ar NNP A52264 1638 2 . . . A52264 1639 1 9.891559 9.891559 CD A52264 1639 2 To to TO A52264 1639 3 co co NN A52264 1639 4 - - NN A52264 1639 5 tangent tangent NN A52264 1639 6 of of IN A52264 1639 7 BAC BAC NNP A52264 1639 8 . . . A52264 1640 1 56.44 56.44 CD A52264 1640 2 9.821771 9.821771 CD A52264 1640 3 So so RB A52264 1640 4 is be VBZ A52264 1640 5 the the DT A52264 1640 6 sine sine NN A52264 1640 7 of of IN A52264 1640 8 FC FC NNP A52264 1640 9 , , , A52264 1640 10 51.11 51.11 CD A52264 1640 11 9.891176 9.891176 CD A52264 1640 12 To to IN A52264 1640 13 the the DT A52264 1640 14 sine sine NN A52264 1640 15 of of IN A52264 1640 16 AF AF NNP A52264 1640 17 , , , A52264 1640 18 23.72 23.72 CD A52264 1640 19 9.604506 9.604506 CD A52264 1640 20 Now now RB A52264 1640 21 because because IN A52264 1640 22 the the DT A52264 1640 23 perpendicular perpendicular JJ A52264 1640 24 falls fall VBZ A52264 1640 25 within within IN A52264 1640 26 the the DT A52264 1640 27 Triangle Triangle NNP A52264 1640 28 , , , A52264 1640 29 I -PRON- PRP A52264 1640 30 adde adde VBP A52264 1640 31 the the DT A52264 1640 32 first first JJ A52264 1640 33 arch arch NNP A52264 1640 34 FC FC NNP A52264 1640 35 51 51 CD A52264 1640 36 deg deg NN A52264 1640 37 . . . A52264 1641 1 11 11 CD A52264 1641 2 min min NN A52264 1641 3 . . . A52264 1642 1 to to IN A52264 1642 2 the the DT A52264 1642 3 second second JJ A52264 1642 4 arch arch JJ A52264 1642 5 AF AF NNP A52264 1642 6 , , , A52264 1642 7 23 23 CD A52264 1642 8 deg deg NN A52264 1642 9 . . . A52264 1643 1 72 72 CD A52264 1643 2 min min NN A52264 1643 3 . . . A52264 1644 1 and and CC A52264 1644 2 their -PRON- PRP$ A52264 1644 3 aggregate aggregate NN A52264 1644 4 is be VBZ A52264 1644 5 74 74 CD A52264 1644 6 deg deg NN A52264 1644 7 . . . A52264 1645 1 83 83 CD A52264 1645 2 min min NN A52264 1645 3 . . . A52264 1646 1 the the DT A52264 1646 2 side side NN A52264 1646 3 AC AC NNP A52264 1646 4 required require VBN A52264 1646 5 . . . A52264 1647 1 CASE case NN A52264 1647 2 11 11 CD A52264 1647 3 . . . A52264 1648 1 The the DT A52264 1648 2 three three CD A52264 1648 3 sides side NNS A52264 1648 4 given give VBN A52264 1648 5 to to TO A52264 1648 6 finde finde NNP A52264 1648 7 an an DT A52264 1648 8 angle angle NN A52264 1648 9 . . . A52264 1649 1 The the DT A52264 1649 2 solution solution NN A52264 1649 3 of of IN A52264 1649 4 this this DT A52264 1649 5 and and CC A52264 1649 6 the the DT A52264 1649 7 Case Case NNP A52264 1649 8 following follow VBG A52264 1649 9 , , , A52264 1649 10 depends depend VBZ A52264 1649 11 upon upon IN A52264 1649 12 the the DT A52264 1649 13 Demonstration Demonstration NNP A52264 1649 14 of of IN A52264 1649 15 this this DT A52264 1649 16 Proposition Proposition NNP A52264 1649 17 . . . A52264 1650 1 As as IN A52264 1650 2 the the DT A52264 1650 3 Rectangular rectangular JJ A52264 1650 4 figure figure NN A52264 1650 5 of of IN A52264 1650 6 the the DT A52264 1650 7 sines sine NNS A52264 1650 8 of of IN A52264 1650 9 the the DT A52264 1650 10 sides side NNS A52264 1650 11 comprehending comprehend VBG A52264 1650 12 the the DT A52264 1650 13 angle angle NN A52264 1650 14 required require VBN A52264 1650 15 ; ; : A52264 1650 16 Is be VBZ A52264 1650 17 to to IN A52264 1650 18 the the DT A52264 1650 19 square square NN A52264 1650 20 of of IN A52264 1650 21 Radius Radius NNP A52264 1650 22 : : : A52264 1650 23 So so RB A52264 1650 24 is be VBZ A52264 1650 25 the the DT A52264 1650 26 Rectangular rectangular JJ A52264 1650 27 figure figure NN A52264 1650 28 of of IN A52264 1650 29 the the DT A52264 1650 30 sines sine NNS A52264 1650 31 of of IN A52264 1650 32 the the DT A52264 1650 33 difference difference NN A52264 1650 34 of of IN A52264 1650 35 each each DT A52264 1650 36 containing contain VBG A52264 1650 37 side side NN A52264 1650 38 taken take VBN A52264 1650 39 from from IN A52264 1650 40 the the DT A52264 1650 41 half half JJ A52264 1650 42 summe summe NN A52264 1650 43 of of IN A52264 1650 44 the the DT A52264 1650 45 three three CD A52264 1650 46 sides side NNS A52264 1650 47 given give VBN A52264 1650 48 ; ; : A52264 1650 49 To to IN A52264 1650 50 the the DT A52264 1650 51 square square NN A52264 1650 52 of of IN A52264 1650 53 the the DT A52264 1650 54 sine sine NN A52264 1650 55 of of IN A52264 1650 56 half half PDT A52264 1650 57 the the DT A52264 1650 58 angle angle NN A52264 1650 59 required require VBN A52264 1650 60 . . . A52264 1651 1 Let let VB A52264 1651 2 the the DT A52264 1651 3 sides side NNS A52264 1651 4 of of IN A52264 1651 5 the the DT A52264 1651 6 triangle triangle NN A52264 1651 7 ZPS ZPS NNP A52264 1651 8 be be VB A52264 1651 9 known know VBN A52264 1651 10 , , , A52264 1651 11 and and CC A52264 1651 12 let let VB A52264 1651 13 the the DT A52264 1651 14 vertical vertical JJ A52264 1651 15 angle angle NN A52264 1651 16 SZP SZP NNP A52264 1651 17 be be VBP A52264 1651 18 the the DT A52264 1651 19 angle angle NN A52264 1651 20 required require VBN A52264 1651 21 , , , A52264 1651 22 then then RB A52264 1651 23 shall shall MD A52264 1651 24 ZS ZS NNP A52264 1651 25 the the DT A52264 1651 26 one one NN A52264 1651 27 be be VB A52264 1651 28 equal equal JJ A52264 1651 29 ZC zc NN A52264 1651 30 . . . A52264 1652 1 In in IN A52264 1652 2 like like JJ A52264 1652 3 manner manner NN A52264 1652 4 PS PS NNP A52264 1652 5 the the DT A52264 1652 6 base base NN A52264 1652 7 of of IN A52264 1652 8 the the DT A52264 1652 9 vertical vertical JJ A52264 1652 10 angle angle NN A52264 1652 11 shall shall MD A52264 1652 12 be be VB A52264 1652 13 equal equal JJ A52264 1652 14 to to IN A52264 1652 15 PH PH NNP A52264 1652 16 or or CC A52264 1652 17 PB PB NNP A52264 1652 18 , , , A52264 1652 19 then then RB A52264 1652 20 draw draw VB A52264 1652 21 PR pr RB A52264 1652 22 the the DT A52264 1652 23 sine sine NN A52264 1652 24 of of IN A52264 1652 25 PZ PZ NNP A52264 1652 26 and and CC A52264 1652 27 CK CK NNP A52264 1652 28 the the DT A52264 1652 29 sine sine NN A52264 1652 30 of of IN A52264 1652 31 CZ CZ NNP A52264 1652 32 or or CC A52264 1652 33 ZS ZS NNP A52264 1652 34 . . . A52264 1653 1 Divide Divide NNP A52264 1653 2 CH CH NNP A52264 1653 3 into into IN A52264 1653 4 two two CD A52264 1653 5 equal equal JJ A52264 1653 6 parts part NNS A52264 1653 7 in in IN A52264 1653 8 G g NN A52264 1653 9 , , , A52264 1653 10 draw draw VB A52264 1653 11 the the DT A52264 1653 12 Radius Radius NNP A52264 1653 13 AG AG NNP A52264 1653 14 and and CC A52264 1653 15 let let VBD A52264 1653 16 fall fall VB A52264 1653 17 the the DT A52264 1653 18 perpendiculars perpendicular NNS A52264 1653 19 P P NNP A52264 1653 20 ● ● NFP A52264 1653 21 and and CC A52264 1653 22 CN CN NNP A52264 1653 23 which which WDT A52264 1653 24 are be VBP A52264 1653 25 the the DT A52264 1653 26 sines sine NNS A52264 1653 27 of of IN A52264 1653 28 the the DT A52264 1653 29 arches arch NNS A52264 1653 30 PG PG NNP A52264 1653 31 and and CC A52264 1653 32 CG CG NNP A52264 1653 33 . . . A52264 1654 1 The the DT A52264 1654 2 right right JJ A52264 1654 3 line line NN A52264 1654 4 EV EV NNP A52264 1654 5 is be VBZ A52264 1654 6 the the DT A52264 1654 7 versed versed JJ A52264 1654 8 sine sine NN A52264 1654 9 of of IN A52264 1654 10 a a DT A52264 1654 11 certain certain JJ A52264 1654 12 arch arch NN A52264 1654 13 in in IN A52264 1654 14 a a DT A52264 1654 15 great great JJ A52264 1654 16 circle circle NN A52264 1654 17 , , , A52264 1654 18 and and CC A52264 1654 19 SC SC NNP A52264 1654 20 the the DT A52264 1654 21 versed versed NNS A52264 1654 22 of of IN A52264 1654 23 the the DT A52264 1654 24 like like UH A52264 1654 25 arch arch NN A52264 1654 26 in in IN A52264 1654 27 a a DT A52264 1654 28 less less JJR A52264 1654 29 , , , A52264 1654 30 then then RB A52264 1654 31 if if IN A52264 1654 32 you -PRON- PRP A52264 1654 33 draw draw VBP A52264 1654 34 the the DT A52264 1654 35 right right JJ A52264 1654 36 line line NN A52264 1654 37 NF NF NNP A52264 1654 38 parallel parallel NN A52264 1654 39 to to IN A52264 1654 40 SH SH NNP A52264 1654 41 bisecting bisect VBG A52264 1654 42 CH CH NNP A52264 1654 43 in in IN A52264 1654 44 N N NNP A52264 1654 45 , , , A52264 1654 46 it -PRON- PRP A52264 1654 47 shall shall MD A52264 1654 48 also also RB A52264 1654 49 bisect bisect VB A52264 1654 50 the the DT A52264 1654 51 versed versed JJ A52264 1654 52 sine sine NN A52264 1654 53 SC SC NNP A52264 1654 54 in in IN A52264 1654 55 F F NNP A52264 1654 56 by by IN A52264 1654 57 the the DT A52264 1654 58 15th 15th NN A52264 1654 59 . . . A52264 1655 1 of of IN A52264 1655 2 the the DT A52264 1655 3 second second JJ A52264 1655 4 and and CC A52264 1655 5 RM RM NNP A52264 1655 6 bisecting bisect VBG A52264 1655 7 TP TP NNP A52264 1655 8 in in IN A52264 1655 9 R r NN A52264 1655 10 , , , A52264 1655 11 and and CC A52264 1655 12 drawn draw VBN A52264 1655 13 parallel parallel NN A52264 1655 14 to to IN A52264 1655 15 TX TX NNP A52264 1655 16 , , , A52264 1655 17 shall shall NN A52264 1655 18 for for IN A52264 1655 19 the the DT A52264 1655 20 same same JJ A52264 1655 21 reason reason NN A52264 1655 22 bisect bisect JJ A52264 1655 23 PX PX NNP A52264 1655 24 in in IN A52264 1655 25 M M NNP A52264 1655 26 , , , A52264 1655 27 and and CC A52264 1655 28 the the DT A52264 1655 29 triangles triangle NNS A52264 1655 30 SCH SCH NNP A52264 1655 31 and and CC A52264 1655 32 FNC FNC NNP A52264 1655 33 shall shall MD A52264 1655 34 be be VB A52264 1655 35 like like UH A52264 1655 36 , , , A52264 1655 37 as as IN A52264 1655 38 also also RB A52264 1655 39 the the DT A52264 1655 40 triangles triangle NNS A52264 1655 41 TPX TPX NNP A52264 1655 42 and and CC A52264 1655 43 RPM rpm NN A52264 1655 44 are be VBP A52264 1655 45 like like JJ A52264 1655 46 ; ; : A52264 1655 47 and and CC A52264 1655 48 ZG ZG NNP A52264 1655 49 shall shall MD A52264 1655 50 be be VB A52264 1655 51 equal equal JJ A52264 1655 52 to to IN A52264 1655 53 the the DT A52264 1655 54 half half JJ A52264 1655 55 summe summe NN A52264 1655 56 of of IN A52264 1655 57 the the DT A52264 1655 58 three three CD A52264 1655 59 sides side NNS A52264 1655 60 given give VBN A52264 1655 61 , , , A52264 1655 62 which which WDT A52264 1655 63 thus thus RB A52264 1655 64 I -PRON- PRP A52264 1655 65 prove prove VBP A52264 1655 66 . . . A52264 1656 1 Of of IN A52264 1656 2 any any DT A52264 1656 3 three three CD A52264 1656 4 unequal unequal JJ A52264 1656 5 quantities quantity NNS A52264 1656 6 given give VBN A52264 1656 7 , , , A52264 1656 8 if if IN A52264 1656 9 the the DT A52264 1656 10 difference difference NN A52264 1656 11 of of IN A52264 1656 12 the the DT A52264 1656 13 two two CD A52264 1656 14 lesser less JJR A52264 1656 15 be be VB A52264 1656 16 substracted substracte VBN A52264 1656 17 from from IN A52264 1656 18 the the DT A52264 1656 19 greatest great JJS A52264 1656 20 , , , A52264 1656 21 and and CC A52264 1656 22 half half PDT A52264 1656 23 the the DT A52264 1656 24 remainer remainer NN A52264 1656 25 added add VBN A52264 1656 26 to to IN A52264 1656 27 the the DT A52264 1656 28 mean mean JJ A52264 1656 29 quantity quantity NN A52264 1656 30 , , , A52264 1656 31 the the DT A52264 1656 32 summe summe NN A52264 1656 33 shall shall MD A52264 1656 34 be be VB A52264 1656 35 equall equall JJ A52264 1656 36 to to IN A52264 1656 37 half half PDT A52264 1656 38 the the DT A52264 1656 39 summe summe NN A52264 1656 40 of of IN A52264 1656 41 the the DT A52264 1656 42 three three CD A52264 1656 43 unequal unequal JJ A52264 1656 44 quantities quantity NNS A52264 1656 45 given give VBN A52264 1656 46 . . . A52264 1657 1 Example example NN A52264 1657 2 . . . A52264 1658 1 Let let VB A52264 1658 2 the the DT A52264 1658 3 quantities quantity NNS A52264 1658 4 given give VBN A52264 1658 5 be be VB A52264 1658 6 9 9 CD A52264 1658 7 , , , A52264 1658 8 13 13 CD A52264 1658 9 , , , A52264 1658 10 and and CC A52264 1658 11 16 16 CD A52264 1658 12 , , , A52264 1658 13 the the DT A52264 1658 14 difference difference NN A52264 1658 15 between between IN A52264 1658 16 9 9 CD A52264 1658 17 and and CC A52264 1658 18 13 13 CD A52264 1658 19 is be VBZ A52264 1658 20 4 4 CD A52264 1658 21 , , , A52264 1658 22 which which WDT A52264 1658 23 being be VBG A52264 1658 24 substracted substracte VBN A52264 1658 25 from from IN A52264 1658 26 16 16 CD A52264 1658 27 , , , A52264 1658 28 there there EX A52264 1658 29 remaineth remaineth NNP A52264 1658 30 12 12 CD A52264 1658 31 , , , A52264 1658 32 the the DT A52264 1658 33 half half NN A52264 1658 34 whereof whereof NN A52264 1658 35 is be VBZ A52264 1658 36 6 6 CD A52264 1658 37 , , , A52264 1658 38 which which WDT A52264 1658 39 being be VBG A52264 1658 40 added add VBN A52264 1658 41 to to IN A52264 1658 42 13 13 CD A52264 1658 43 maketh maketh NN A52264 1658 44 19 19 CD A52264 1658 45 , , , A52264 1658 46 the the DT A52264 1658 47 half half JJ A52264 1658 48 sum sum NN A52264 1658 49 of of IN A52264 1658 50 the the DT A52264 1658 51 three three CD A52264 1658 52 unequal unequal JJ A52264 1658 53 quantities quantity NNS A52264 1658 54 . . . A52264 1659 1 Now now RB A52264 1659 2 then then RB A52264 1659 3 in in IN A52264 1659 4 this this DT A52264 1659 5 Diagram Diagram NNP A52264 1659 6 PC pc NN A52264 1659 7 is be VBZ A52264 1659 8 the the DT A52264 1659 9 difference difference NN A52264 1659 10 of of IN A52264 1659 11 the the DT A52264 1659 12 two two CD A52264 1659 13 lesser less JJR A52264 1659 14 sides side NNS A52264 1659 15 , , , A52264 1659 16 which which WDT A52264 1659 17 taken take VBN A52264 1659 18 from from IN A52264 1659 19 PH PH NNP A52264 1659 20 , , , A52264 1659 21 the the DT A52264 1659 22 remainer remainer NN A52264 1659 23 is be VBZ A52264 1659 24 CH CH NNP A52264 1659 25 , , , A52264 1659 26 the the DT A52264 1659 27 half half NN A52264 1659 28 whereof whereof NN A52264 1659 29 is be VBZ A52264 1659 30 CG CG NNP A52264 1659 31 , , , A52264 1659 32 and and CC A52264 1659 33 CG CG NNP A52264 1659 34 added add VBD A52264 1659 35 to to IN A52264 1659 36 CZ CZ NNP A52264 1659 37 , , , A52264 1659 38 the the DT A52264 1659 39 mean mean JJ A52264 1659 40 side side NN A52264 1659 41 , , , A52264 1659 42 giveth giveth NNP A52264 1659 43 GZ GZ NNP A52264 1659 44 the the DT A52264 1659 45 half half NN A52264 1659 46 summe summe NN A52264 1659 47 , , , A52264 1659 48 and and CC A52264 1659 49 if if IN A52264 1659 50 we -PRON- PRP A52264 1659 51 substract substract VBP A52264 1659 52 ZP ZP NNP A52264 1659 53 the the DT A52264 1659 54 lesser less JJR A52264 1659 55 containing contain VBG A52264 1659 56 side side NN A52264 1659 57 of of IN A52264 1659 58 the the DT A52264 1659 59 angle angle NN A52264 1659 60 required require VBN A52264 1659 61 , , , A52264 1659 62 from from IN A52264 1659 63 ZG ZG NNP A52264 1659 64 the the DT A52264 1659 65 half half JJ A52264 1659 66 sum sum NN A52264 1659 67 , , , A52264 1659 68 their -PRON- PRP$ A52264 1659 69 difference difference NN A52264 1659 70 will will MD A52264 1659 71 be be VB A52264 1659 72 PG PG NNP A52264 1659 73 , , , A52264 1659 74 and and CC A52264 1659 75 if if IN A52264 1659 76 we -PRON- PRP A52264 1659 77 substract substract VBP A52264 1659 78 ZC ZC NNP A52264 1659 79 the the DT A52264 1659 80 other other JJ A52264 1659 81 side side NN A52264 1659 82 , , , A52264 1659 83 the the DT A52264 1659 84 difference difference NN A52264 1659 85 will will MD A52264 1659 86 be be VB A52264 1659 87 CG CG NNP A52264 1659 88 . . . A52264 1660 1 Lastly lastly RB A52264 1660 2 , , , A52264 1660 3 let let VB A52264 1660 4 the the DT A52264 1660 5 arch arch JJ A52264 1660 6 IV IV NNP A52264 1660 7 be be VB A52264 1660 8 the the DT A52264 1660 9 measure measure NN A52264 1660 10 of of IN A52264 1660 11 the the DT A52264 1660 12 vertical vertical JJ A52264 1660 13 angle angle NN A52264 1660 14 PZS PZS NNP A52264 1660 15 , , , A52264 1660 16 and and CC A52264 1660 17 the the DT A52264 1660 18 right right JJ A52264 1660 19 line line NN A52264 1660 20 OQ OQ VBN A52264 1660 21 bisect bisect VBP A52264 1660 22 the the DT A52264 1660 23 lines line NNS A52264 1660 24 EV EV NNP A52264 1660 25 and and CC A52264 1660 26 IV IV NNP A52264 1660 27 , , , A52264 1660 28 and and CC A52264 1660 29 the the DT A52264 1660 30 right right JJ A52264 1660 31 line line NN A52264 1660 32 AQ AQ NNP A52264 1660 33 perpendicular perpendicular JJ A52264 1660 34 to to IN A52264 1660 35 the the DT A52264 1660 36 right right JJ A52264 1660 37 line line NN A52264 1660 38 IV IV NNP A52264 1660 39 , , , A52264 1660 40 bisecting bisect VBG A52264 1660 41 the the DT A52264 1660 42 same same JJ A52264 1660 43 in in IN A52264 1660 44 Q Q NNP A52264 1660 45 , , , A52264 1660 46 I -PRON- PRP A52264 1660 47 say say VBP A52264 1660 48 then then RB A52264 1660 49 . . . A52264 1661 1 And and CC A52264 1661 2 dividing divide VBG A52264 1661 3 the the DT A52264 1661 4 two two CD A52264 1661 5 last last JJ A52264 1661 6 rectangles rectangle NNS A52264 1661 7 by by IN A52264 1661 8 CF cf NN A52264 1661 9 , , , A52264 1661 10 the the DT A52264 1661 11 proportion proportion NN A52264 1661 12 will will MD A52264 1661 13 be be VB A52264 1661 14 PR pr NN A52264 1661 15 × × NN A52264 1661 16 CK CK NNP A52264 1661 17 And and CC A52264 1661 18 because because IN A52264 1661 19 VO VO NNP A52264 1661 20 in in IN A52264 1661 21 VA VA NNP A52264 1661 22 is be VBZ A52264 1661 23 equal equal JJ A52264 1661 24 to to IN A52264 1661 25 VQ VQ NNP A52264 1661 26 square square NN A52264 1661 27 ; ; : A52264 1661 28 therefore therefore RB A52264 1661 29 if if IN A52264 1661 30 you -PRON- PRP A52264 1661 31 multiply multiply VBP A52264 1661 32 CN cn NN A52264 1661 33 by by IN A52264 1661 34 VA VA NNP A52264 1661 35 , , , A52264 1661 36 the the DT A52264 1661 37 proportion proportion NN A52264 1661 38 will will MD A52264 1661 39 be be VB A52264 1661 40 , , , A52264 1661 41 as as IN A52264 1661 42 PR pr NN A52264 1661 43 × × NN A52264 1661 44 CK CK NNP A52264 1661 45 , , , A52264 1661 46 to to IN A52264 1661 47 PM PM NNP A52264 1661 48 × × NNP A52264 1661 49 VA VA NNP A52264 1661 50 ; ; : A52264 1661 51 so so RB A52264 1661 52 is be VBZ A52264 1661 53 CN CN NNP A52264 1661 54 × × NN A52264 1661 55 VA VA NNP A52264 1661 56 , , , A52264 1661 57 to to IN A52264 1661 58 VO VO NNP A52264 1661 59 × × NN A52264 1661 60 VA VA NNP A52264 1661 61 equal equal JJ A52264 1661 62 to to IN A52264 1661 63 VQ VQ NNP A52264 1661 64 square square NN A52264 1661 65 , , , A52264 1661 66 which which WDT A52264 1661 67 was be VBD A52264 1661 68 to to TO A52264 1661 69 be be VB A52264 1661 70 proved prove VBN A52264 1661 71 . . . A52264 1662 1 PM pm NN A52264 1662 2 × × VBZ A52264 1662 3 VA VA NNP A52264 1662 4 CN CN NNP A52264 1662 5 VO VO NNP A52264 1662 6 If if IN A52264 1662 7 then then RB A52264 1662 8 the the DT A52264 1662 9 three three CD A52264 1662 10 sides side NNS A52264 1662 11 of of IN A52264 1662 12 an an DT A52264 1662 13 oblique oblique NN A52264 1662 14 angled angle VBN A52264 1662 15 spherical spherical JJ A52264 1662 16 triangle triangle NN A52264 1662 17 be be VB A52264 1662 18 given give VBN A52264 1662 19 , , , A52264 1662 20 and and CC A52264 1662 21 an an DT A52264 1662 22 angle angle NN A52264 1662 23 inquired inquire VBD A52264 1662 24 ; ; : A52264 1662 25 do do VB A52264 1662 26 thus thus RB A52264 1662 27 : : : A52264 1662 28 1 1 CD A52264 1662 29 . . . A52264 1663 1 Take take VB A52264 1663 2 the the DT A52264 1663 3 sines sine NNS A52264 1663 4 of of IN A52264 1663 5 the the DT A52264 1663 6 sides side NNS A52264 1663 7 comprehending comprehend VBG A52264 1663 8 the the DT A52264 1663 9 angle angle NN A52264 1663 10 inquired inquire VBD A52264 1663 11 . . . A52264 1664 1 Or or CC A52264 1664 2 the the DT A52264 1664 3 Logarithmes logarithme NNS A52264 1664 4 of of IN A52264 1664 5 those those DT A52264 1664 6 sines sine NNS A52264 1664 7 . . . A52264 1665 1 2 2 LS A52264 1665 2 . . . A52264 1666 1 Take take VB A52264 1666 2 also also RB A52264 1666 3 the the DT A52264 1666 4 quadrat quadrat NN A52264 1666 5 of of IN A52264 1666 6 the the DT A52264 1666 7 Radius Radius NNP A52264 1666 8 , , , A52264 1666 9 or or CC A52264 1666 10 the the DT A52264 1666 11 Logarithme Logarithme NNP A52264 1666 12 of of IN A52264 1666 13 the the DT A52264 1666 14 Radius Radius NNP A52264 1666 15 doubled double VBD A52264 1666 16 . . . A52264 1667 1 3 3 LS A52264 1667 2 . . . A52264 1668 1 Substract substract VB A52264 1668 2 each each DT A52264 1668 3 side side NN A52264 1668 4 comprehending comprehend VBG A52264 1668 5 the the DT A52264 1668 6 angle angle NN A52264 1668 7 inquired inquire VBN A52264 1668 8 from from IN A52264 1668 9 the the DT A52264 1668 10 half half JJ A52264 1668 11 sum sum NN A52264 1668 12 of of IN A52264 1668 13 the the DT A52264 1668 14 three three CD A52264 1668 15 sides side NNS A52264 1668 16 given give VBN A52264 1668 17 , , , A52264 1668 18 and and CC A52264 1668 19 take take VB A52264 1668 20 the the DT A52264 1668 21 sines sine NNS A52264 1668 22 of of IN A52264 1668 23 their -PRON- PRP$ A52264 1668 24 differences difference NNS A52264 1668 25 , , , A52264 1668 26 or or CC A52264 1668 27 the the DT A52264 1668 28 Logarithmes logarithme NNS A52264 1668 29 of of IN A52264 1668 30 those those DT A52264 1668 31 sines sine NNS A52264 1668 32 . . . A52264 1669 1 4 4 LS A52264 1669 2 . . . A52264 1670 1 If if IN A52264 1670 2 the the DT A52264 1670 3 rectangle rectangle NN A52264 1670 4 of of IN A52264 1670 5 the the DT A52264 1670 6 first first JJ A52264 1670 7 divide divide NN A52264 1670 8 the the DT A52264 1670 9 rectangle rectangle NN A52264 1670 10 of of IN A52264 1670 11 the the DT A52264 1670 12 second second JJ A52264 1670 13 and and CC A52264 1670 14 third third JJ A52264 1670 15 , , , A52264 1670 16 the the DT A52264 1670 17 side side NN A52264 1670 18 of of IN A52264 1670 19 the the DT A52264 1670 20 quotient quotient NN A52264 1670 21 is be VBZ A52264 1670 22 the the DT A52264 1670 23 sine sine NN A52264 1670 24 of of IN A52264 1670 25 half half PDT A52264 1670 26 the the DT A52264 1670 27 angle angle NN A52264 1670 28 inquired inquire VBD A52264 1670 29 . . . A52264 1671 1 Or or CC A52264 1671 2 if if IN A52264 1671 3 the the DT A52264 1671 4 sum sum NN A52264 1671 5 of of IN A52264 1671 6 the the DT A52264 1671 7 Logarithme Logarithme NNP A52264 1671 8 of of IN A52264 1671 9 the the DT A52264 1671 10 first first JJ A52264 1671 11 be be VB A52264 1671 12 deducted deduct VBN A52264 1671 13 from from IN A52264 1671 14 the the DT A52264 1671 15 sum sum NN A52264 1671 16 of of IN A52264 1671 17 the the DT A52264 1671 18 Logarithmes logarithme NNS A52264 1671 19 of of IN A52264 1671 20 the the DT A52264 1671 21 second second JJ A52264 1671 22 and and CC A52264 1671 23 third third JJ A52264 1671 24 , , , A52264 1671 25 the the DT A52264 1671 26 half half JJ A52264 1671 27 difference difference NN A52264 1671 28 is be VBZ A52264 1671 29 the the DT A52264 1671 30 Logarithme Logarithme NNP A52264 1671 31 of of IN A52264 1671 32 half half PDT A52264 1671 33 the the DT A52264 1671 34 angle angle NN A52264 1671 35 sought seek VBN A52264 1671 36 . . . A52264 1672 1 Arithmeticall Arithmeticall NNP A52264 1672 2 illustration illustration NN A52264 1672 3 by by IN A52264 1672 4 Naturall Naturall NNP A52264 1672 5 Numbers Numbers NNPS A52264 1672 6 . . . A52264 1673 1 In in IN A52264 1673 2 the the DT A52264 1673 3 Oblique Oblique NNP A52264 1673 4 angled angle VBN A52264 1673 5 Triangle Triangle NNP A52264 1673 6 SZP SZP NNP A52264 1673 7 , , , A52264 1673 8 having have VBG A52264 1673 9 the the DT A52264 1673 10 Sides Sides NNP A52264 1673 11 PS PS NNP A52264 1673 12 , , , A52264 1673 13 42 42 CD A52264 1673 14 deg deg NN A52264 1673 15 . . . A52264 1674 1 15 15 CD A52264 1674 2 min min NN A52264 1674 3 . . . A52264 1675 1 PZ PZ NNP A52264 1675 2 , , , A52264 1675 3 30 30 CD A52264 1675 4 00 00 NFP A52264 1675 5 And and CC A52264 1675 6 SZ SZ NNP A52264 1675 7 , , , A52264 1675 8 24 24 CD A52264 1675 9 7 7 CD A52264 1675 10 To to TO A52264 1675 11 finde finde VB A52264 1675 12 the the DT A52264 1675 13 angle angle NN A52264 1675 14 PZS PZS NNP A52264 1675 15 . . . A52264 1676 1 Sines sine NNS A52264 1676 2 . . . A52264 1677 1 The the DT A52264 1677 2 side side NN A52264 1677 3 PZ PZ NNP A52264 1677 4 , , , A52264 1677 5 30 30 CD A52264 1677 6 deg deg NN A52264 1677 7 . . . A52264 1678 1 50000 50000 CD A52264 1678 2 The the DT A52264 1678 3 side side NN A52264 1678 4 SZ SZ NNP A52264 1678 5 , , , A52264 1678 6 24 24 CD A52264 1678 7 deg deg NN A52264 1678 8 . . . A52264 1679 1 7 7 CD A52264 1679 2 min min NN A52264 1679 3 . . . A52264 1680 1 40785 40785 CD A52264 1680 2         _SP A52264 1680 3 1 1 CD A52264 1680 4 The the DT A52264 1680 5 factus factus NN A52264 1680 6 of of IN A52264 1680 7 the the DT A52264 1680 8 Sines Sines NNP A52264 1680 9 2039250000 2039250000 CD A52264 1680 10 2 2 CD A52264 1680 11 Quadrat Quadrat NNP A52264 1680 12 of of IN A52264 1680 13 the the DT A52264 1680 14 Radius Radius NNP A52264 1680 15 10000000000 10000000000 CD A52264 1680 16 The the DT A52264 1680 17 summe summe NN A52264 1680 18 of of IN A52264 1680 19 the the DT A52264 1680 20 sides side NNS A52264 1680 21 96 96 CD A52264 1680 22 deg deg NN A52264 1680 23 . . . A52264 1681 1 22 22 CD A52264 1681 2 min min NN A52264 1681 3 . . . A52264 1682 1 The the DT A52264 1682 2 half half NN A52264 1682 3 summe summe NN A52264 1682 4 , , , A52264 1682 5 48 48 CD A52264 1682 6 11 11 CD A52264 1682 7     _SP A52264 1682 8 Sines Sines NNPS A52264 1682 9 . . . A52264 1683 1 The the DT A52264 1683 2 difference difference NN A52264 1683 3 of of IN A52264 1683 4 ZS ZS NNP A52264 1683 5 24 24 CD A52264 1683 6 de de NN A52264 1683 7 . . . A52264 1684 1 4 4 CD A52264 1684 2 min min NNP A52264 1684 3 . . . A52264 1685 1 40737 40737 CD A52264 1685 2 The the DT A52264 1685 3 difference difference NN A52264 1685 4 of of IN A52264 1685 5 PZ PZ NNP A52264 1685 6 18 18 CD A52264 1685 7 11 11 CD A52264 1685 8 31084 31084 CD A52264 1685 9         _SP A52264 1685 10 3 3 CD A52264 1685 11 Factus Factus NNP A52264 1685 12 of of IN A52264 1685 13 the the DT A52264 1685 14 sines sine NNS A52264 1685 15 1266268908 1266268908 CD A52264 1685 16 Which which WDT A52264 1685 17 being be VBG A52264 1685 18 multiplyed multiply VBN A52264 1685 19 by by IN A52264 1685 20 Radids Radids NNPS A52264 1685 21 square square NN A52264 1685 22 , , , A52264 1685 23 100000.00000 100000.00000 CD A52264 1685 24 , , , A52264 1685 25 and and CC A52264 1685 26 divided divide VBN A52264 1685 27 by by IN A52264 1685 28 2039250000 2039250000 CD A52264 1685 29 , , , A52264 1685 30 the the DT A52264 1685 31 quotient quotient NN A52264 1685 32 will will MD A52264 1685 33 be be VB A52264 1685 34 620 620 CD A52264 1685 35 ● ● NFP A52264 1685 36 ● ● CD A52264 1685 37 83 83 CD A52264 1685 38 ● ● SYM A52264 1685 39 7 7 CD A52264 1685 40 ● ● CD A52264 1685 41 , , , A52264 1685 42 the the DT A52264 1685 43 side side NN A52264 1685 44 whereof whereof NNP A52264 1685 45 is be VBZ A52264 1685 46 78802 78802 CD A52264 1685 47 , , , A52264 1685 48 the the DT A52264 1685 49 sine sine NN A52264 1685 50 of of IN A52264 1685 51 52 52 CD A52264 1685 52 deg deg NN A52264 1685 53 . . . A52264 1686 1 which which WDT A52264 1686 2 doubled double VBD A52264 1686 3 is be VBZ A52264 1686 4 104 104 CD A52264 1686 5 , , , A52264 1686 6 the the DT A52264 1686 7 angle angle NN A52264 1686 8 PZS PZS NNP A52264 1686 9 inquired inquire VBD A52264 1686 10 . . . A52264 1687 1 Arithmeticall Arithmeticall NNP A52264 1687 2 illustration illustration NN A52264 1687 3 by by IN A52264 1687 4 artificiall artificiall JJ A52264 1687 5 numbers number NNS A52264 1687 6 . . . A52264 1688 1 The the DT A52264 1688 2 side side NN A52264 1688 3 PS PS NNP A52264 1688 4 , , , A52264 1688 5 42.15 42.15 CD A52264 1688 6 . . . A52264 1689 1 Logar Logar NNP A52264 1689 2 . . . A52264 1690 1 Sine Sine NNP A52264 1690 2 . . . A52264 1691 1 The the DT A52264 1691 2 side side NN A52264 1691 3 PZ PZ NNP A52264 1691 4 , , , A52264 1691 5 30 30 CD A52264 1691 6 9.698970 9.698970 CD A52264 1691 7 The the DT A52264 1691 8 side side NN A52264 1691 9 SZ SZ NNP A52264 1691 10 , , , A52264 1691 11 24.7 24.7 CD A52264 1691 12 9.610503 9.610503 CD A52264 1691 13         _SP A52264 1691 14 Sum Sum NNP A52264 1691 15 of of IN A52264 1691 16 the the DT A52264 1691 17 sides side NNS A52264 1691 18 , , , A52264 1691 19 96.22 96.22 CD A52264 1691 20 19.309473 19.309473 CD A52264 1691 21         _SP A52264 1691 22 The the DT A52264 1691 23 halfe halfe NN A52264 1691 24 sum sum NN A52264 1691 25 , , , A52264 1691 26 48.11 48.11 CD A52264 1691 27     _SP A52264 1691 28 Diff Diff NNP A52264 1691 29 . . . A52264 1692 1 of of IN A52264 1692 2 ZS ZS NNP A52264 1692 3 and and CC A52264 1692 4 the the DT A52264 1692 5 half half JJ A52264 1692 6 sum sum NN A52264 1692 7 , , , A52264 1692 8 24.4 24.4 CD A52264 1692 9 9.609993 9.609993 CD A52264 1692 10 Dif Dif NNP A52264 1692 11 . . . A52264 1693 1 of of IN A52264 1693 2 PZ PZ NNP A52264 1693 3 & & CC A52264 1693 4 the the DT A52264 1693 5 half half JJ A52264 1693 6 sum sum NN A52264 1693 7 , , , A52264 1693 8 18.11 18.11 CD A52264 1693 9 9.492540 9.492540 CD A52264 1693 10 The the DT A52264 1693 11 doubled double VBN A52264 1693 12 Radius Radius NNP A52264 1693 13 20.000000 20.000000 CD A52264 1693 14             _SP A52264 1693 15 39.102533 39.102533 CD A52264 1693 16         _SP A52264 1693 17 From from IN A52264 1693 18 which which WDT A52264 1693 19 substract substract VB A52264 1693 20 the the DT A52264 1693 21 sum sum NN A52264 1693 22 of of IN A52264 1693 23 the the DT A52264 1693 24 Log Log NNP A52264 1693 25 . . . A52264 1694 1 of of IN A52264 1694 2 the the DT A52264 1694 3 sides side NNS A52264 1694 4 , , , A52264 1694 5 ● ● NFP A52264 1694 6 S s NN A52264 1694 7 . . . A52264 1695 1 PZ PZ NNP A52264 1695 2 19.309473 19.309473 CD A52264 1695 3 There there RB A52264 1695 4 doth doth JJ A52264 1695 5 remain remain VBP A52264 1695 6 , , , A52264 1695 7 19.793060 19.793060 CD A52264 1695 8 The the DT A52264 1695 9 halfe halfe NN A52264 1695 10 thereof thereof RB A52264 1695 11 , , , A52264 1695 12 9.896530 9.896530 CD A52264 1695 13 is be VBZ A52264 1695 14 the the DT A52264 1695 15 Logarithm Logarithm NNP A52264 1695 16 of of IN A52264 1695 17 the the DT A52264 1695 18 sine sine NN A52264 1695 19 of of IN A52264 1695 20 52 52 CD A52264 1695 21 deg deg NN A52264 1695 22 . . . A52264 1696 1 whose whose WP$ A52264 1696 2 double double JJ A52264 1696 3 104 104 CD A52264 1696 4 is be VBZ A52264 1696 5 the the DT A52264 1696 6 angle angle NN A52264 1696 7 PZ PZ NNP A52264 1696 8 Sinquired sinquire VBN A52264 1696 9 as as IN A52264 1696 10 before before RB A52264 1696 11 . . . A52264 1697 1 Or or CC A52264 1697 2 if if IN A52264 1697 3 instead instead RB A52264 1697 4 of of IN A52264 1697 5 the the DT A52264 1697 6 Logarithms Logarithms NNP A52264 1697 7 of of IN A52264 1697 8 the the DT A52264 1697 9 sines sine NNS A52264 1697 10 of of IN A52264 1697 11 the the DT A52264 1697 12 sides side NNS A52264 1697 13 ● ● . A52264 1697 14 S s NN A52264 1697 15 and and CC A52264 1697 16 PZ PZ NNP A52264 1697 17 , , , A52264 1697 18 you -PRON- PRP A52264 1697 19 take take VBP A52264 1697 20 their -PRON- PRP$ A52264 1697 21 Arithmeticall Arithmeticall NNP A52264 1697 22 complements complement NNS A52264 1697 23 , , , A52264 1697 24 as as IN A52264 1697 25 was be VBD A52264 1697 26 shewed shew VBN A52264 1697 27 in in IN A52264 1697 28 the the DT A52264 1697 29 8th 8th NN A52264 1697 30 . . . A52264 1698 1 Proposition proposition NN A52264 1698 2 of of IN A52264 1698 3 the the DT A52264 1698 4 4th 4th NN A52264 1698 5 . . . A52264 1699 1 Chapter chapter NN A52264 1699 2 , , , A52264 1699 3 and and CC A52264 1699 4 leave leave VB A52264 1699 5 out out RP A52264 1699 6 the the DT A52264 1699 7 doubled double VBN A52264 1699 8 Radius Radius NNP A52264 1699 9 , , , A52264 1699 10 the the DT A52264 1699 11 work work NN A52264 1699 12 may may MD A52264 1699 13 be be VB A52264 1699 14 performed perform VBN A52264 1699 15 without without IN A52264 1699 16 substraction substraction NN A52264 1699 17 in in IN A52264 1699 18 this this DT A52264 1699 19 manner manner NN A52264 1699 20 . . . A52264 1700 1 The the DT A52264 1700 2 side side NN A52264 1700 3 PZ PZ NNP A52264 1700 4 , , , A52264 1700 5 30 30 CD A52264 1700 6 co co NN A52264 1700 7 . . . A52264 1701 1 ar ar NNP A52264 1701 2 . . . A52264 1702 1 0.301030 0.301030 CD A52264 1702 2 The the DT A52264 1702 3 side side NN A52264 1702 4 ZS ZS NNP A52264 1702 5 . . . A52264 1703 1 14.7 14.7 CD A52264 1703 2 co co NN A52264 1703 3 . . . A52264 1704 1 ar ar NNP A52264 1704 2 . . . A52264 1705 1 0.389497 0.389497 NFP A52264 1705 2 Dif dif UH A52264 1705 3 . . . A52264 1706 1 of of IN A52264 1706 2 ZP ZP NNP A52264 1706 3 and and CC A52264 1706 4 half half NN A52264 1706 5 sum sum NN A52264 1706 6 , , , A52264 1706 7 18.11 18.11 CD A52264 1706 8 9.492540 9.492540 CD A52264 1706 9 Dif Dif NNP A52264 1706 10 . . . A52264 1707 1 of of IN A52264 1707 2 ZS ZS NNP A52264 1707 3 and and CC A52264 1707 4 half half JJ A52264 1707 5 sum sum NN A52264 1707 6 , , , A52264 1707 7 24.4 24.4 CD A52264 1707 8 9.609993 9.609993 CD A52264 1707 9         _SP A52264 1707 10 The the DT A52264 1707 11 summe summe NN A52264 1707 12 is be VBZ A52264 1707 13 19.793060 19.793060 CD A52264 1707 14 The the DT A52264 1707 15 halfe halfe NN A52264 1707 16 thereof thereof IN A52264 1707 17 9.896530 9.896530 CD A52264 1707 18 Is be VBZ A52264 1707 19 the the DT A52264 1707 20 Logarithm Logarithm NNP A52264 1707 21 of of IN A52264 1707 22 the the DT A52264 1707 23 sine sine NN A52264 1707 24 of of IN A52264 1707 25 52 52 CD A52264 1707 26 deg deg NN A52264 1707 27 . . . A52264 1708 1 as as IN A52264 1708 2 before before RB A52264 1708 3 . . . A52264 1709 1 CASE CASE NNP A52264 1709 2 12 12 CD A52264 1709 3 . . . A52264 1710 1 The the DT A52264 1710 2 three three CD A52264 1710 3 angles angle NNS A52264 1710 4 of of IN A52264 1710 5 a a DT A52264 1710 6 Sphericall Sphericall NNP A52264 1710 7 Triangle Triangle NNP A52264 1710 8 given give VBN A52264 1710 9 , , , A52264 1710 10 to to TO A52264 1710 11 finde finde VB A52264 1710 12 a a DT A52264 1710 13 side side NN A52264 1710 14 . . . A52264 1711 1 This this DT A52264 1711 2 Case case NN A52264 1711 3 is be VBZ A52264 1711 4 the the DT A52264 1711 5 converse converse NN A52264 1711 6 of of IN A52264 1711 7 the the DT A52264 1711 8 former former JJ A52264 1711 9 , , , A52264 1711 10 and and CC A52264 1711 11 to to TO A52264 1711 12 be be VB A52264 1711 13 resolved resolve VBN A52264 1711 14 after after IN A52264 1711 15 the the DT A52264 1711 16 same same JJ A52264 1711 17 manner manner NN A52264 1711 18 , , , A52264 1711 19 if if IN A52264 1711 20 so so RB A52264 1711 21 be be VB A52264 1711 22 we -PRON- PRP A52264 1711 23 convert convert VBP A52264 1711 24 the the DT A52264 1711 25 angles angle NNS A52264 1711 26 into into IN A52264 1711 27 sides side NNS A52264 1711 28 , , , A52264 1711 29 according accord VBG A52264 1711 30 to to IN A52264 1711 31 the the DT A52264 1711 32 fifth fifth NN A52264 1711 33 of of IN A52264 1711 34 the the DT A52264 1711 35 sixth sixth JJ A52264 1711 36 Chapter chapter NN A52264 1711 37 . . . A52264 1712 1 For for IN A52264 1712 2 the the DT A52264 1712 3 two two CD A52264 1712 4 lesser less JJR A52264 1712 5 angles angle NNS A52264 1712 6 are be VBP A52264 1712 7 alwayes alwaye NNS A52264 1712 8 equal equal JJ A52264 1712 9 unto unto IN A52264 1712 10 two two CD A52264 1712 11 sides side NNS A52264 1712 12 of of IN A52264 1712 13 a a DT A52264 1712 14 Triangle Triangle NNP A52264 1712 15 comprehended comprehend VBN A52264 1712 16 by by IN A52264 1712 17 the the DT A52264 1712 18 arkes arke NNS A52264 1712 19 of of IN A52264 1712 20 great great JJ A52264 1712 21 Circles Circles NNPS A52264 1712 22 drawn draw VBN A52264 1712 23 from from IN A52264 1712 24 their -PRON- PRP$ A52264 1712 25 Poles Poles NNPS A52264 1712 26 , , , A52264 1712 27 and and CC A52264 1712 28 the the DT A52264 1712 29 third third JJ A52264 1712 30 angle angle NN A52264 1712 31 may may MD A52264 1712 32 be be VB A52264 1712 33 greater great JJR A52264 1712 34 then then RB A52264 1712 35 a a DT A52264 1712 36 Quadrant Quadrant NNP A52264 1712 37 , , , A52264 1712 38 and and CC A52264 1712 39 therefore therefore RB A52264 1712 40 the the DT A52264 1712 41 complement complement NN A52264 1712 42 thereof thereof RB A52264 1712 43 to to IN A52264 1712 44 a a DT A52264 1712 45 Semicircle Semicircle NNP A52264 1712 46 must must MD A52264 1712 47 be be VB A52264 1712 48 taken take VBN A52264 1712 49 for for IN A52264 1712 50 the the DT A52264 1712 51 third third JJ A52264 1712 52 side side NN A52264 1712 53 . . . A52264 1713 1 The the DT A52264 1713 2 angle angle NN A52264 1713 3 being be VBG A52264 1713 4 found find VBN A52264 1713 5 , , , A52264 1713 6 shall shall MD A52264 1713 7 be be VB A52264 1713 8 one one CD A52264 1713 9 of of IN A52264 1713 10 the the DT A52264 1713 11 three three CD A52264 1713 12 sides side NNS A52264 1713 13 inquired inquire VBD A52264 1713 14 . . . A52264 1714 1 As as IN A52264 1714 2 in in IN A52264 1714 3 the the DT A52264 1714 4 Triangle Triangle NNP A52264 1714 5 ABC ABC NNP A52264 1714 6 , , , A52264 1714 7 the the DT A52264 1714 8 poles pole NNS A52264 1714 9 of of IN A52264 1714 10 those those DT A52264 1714 11 arks arks NNP A52264 1714 12 L L NNP A52264 1714 13 , , , A52264 1714 14 M M NNP A52264 1714 15 , , , A52264 1714 16 K K NNP A52264 1714 17 , , , A52264 1714 18 which which WDT A52264 1714 19 connected connect VBD A52264 1714 20 do do VBP A52264 1714 21 make make VB A52264 1714 22 the the DT A52264 1714 23 Triangle Triangle NNP A52264 1714 24 LMK LMK NNP A52264 1714 25 , , , A52264 1714 26 the the DT A52264 1714 27 sides side NNS A52264 1714 28 of of IN A52264 1714 29 the the DT A52264 1714 30 former former JJ A52264 1714 31 Triangle Triangle NNP A52264 1714 32 being be VBG A52264 1714 33 equal equal JJ A52264 1714 34 to to IN A52264 1714 35 the the DT A52264 1714 36 angles angle NNS A52264 1714 37 of of IN A52264 1714 38 this this DT A52264 1714 39 latter latter JJ A52264 1714 40 , , , A52264 1714 41 taking take VBG A52264 1714 42 the the DT A52264 1714 43 complement complement NN A52264 1714 44 of of IN A52264 1714 45 the the DT A52264 1714 46 greater great JJR A52264 1714 47 angle angle NN A52264 1714 48 to to IN A52264 1714 49 a a DT A52264 1714 50 semicircle semicircle NN A52264 1714 51 for for IN A52264 1714 52 one one CD A52264 1714 53 . . . A52264 1715 1 As as IN A52264 1715 2 AB AB NNP A52264 1715 3 is be VBZ A52264 1715 4 equal equal JJ A52264 1715 5 to to IN A52264 1715 6 the the DT A52264 1715 7 angle angle NN A52264 1715 8 at at IN A52264 1715 9 L l NN A52264 1715 10 , , , A52264 1715 11 or or CC A52264 1715 12 the the DT A52264 1715 13 arke arke JJ A52264 1715 14 EG eg NN A52264 1715 15 . . . A52264 1716 1 The the DT A52264 1716 2 side side NN A52264 1716 3 BC BC NNP A52264 1716 4 is be VBZ A52264 1716 5 equal equal JJ A52264 1716 6 to to IN A52264 1716 7 the the DT A52264 1716 8 angle angle NN A52264 1716 9 at at IN A52264 1716 10 M M NNP A52264 1716 11 , , , A52264 1716 12 or or CC A52264 1716 13 the the DT A52264 1716 14 arch arch JJ A52264 1716 15 FH FH NNP A52264 1716 16 . . . A52264 1717 1 And and CC A52264 1717 2 the the DT A52264 1717 3 side side NN A52264 1717 4 AC AC NNP A52264 1717 5 is be VBZ A52264 1717 6 equal equal JJ A52264 1717 7 to to IN A52264 1717 8 the the DT A52264 1717 9 complement complement NN A52264 1717 10 of of IN A52264 1717 11 the the DT A52264 1717 12 angle angle NN A52264 1717 13 LKM lkm NN A52264 1717 14 , , , A52264 1717 15 or or CC A52264 1717 16 the the DT A52264 1717 17 arch arch JJ A52264 1717 18 DI DI NNP A52264 1717 19 . . . A52264 1718 1 Therefore therefore RB A52264 1718 2 if if IN A52264 1718 3 the the DT A52264 1718 4 angles angle NNS A52264 1718 5 of of IN A52264 1718 6 the the DT A52264 1718 7 latter latter JJ A52264 1718 8 triangle triangle NN A52264 1718 9 LMK LMK NNP A52264 1718 10 be be VB A52264 1718 11 given give VBN A52264 1718 12 , , , A52264 1718 13 the the DT A52264 1718 14 sides side NNS A52264 1718 15 of of IN A52264 1718 16 the the DT A52264 1718 17 former former JJ A52264 1718 18 triangle triangle NN A52264 1718 19 AB AB NNP A52264 1718 20 , , , A52264 1718 21 BC BC NNP A52264 1718 22 , , , A52264 1718 23 and and CC A52264 1718 24 AC AC NNP A52264 1718 25 are be VBP A52264 1718 26 likewise likewise RB A52264 1718 27 given give VBN A52264 1718 28 . . . A52264 1719 1 And and CC A52264 1719 2 the the DT A52264 1719 3 angles angle NNS A52264 1719 4 of of IN A52264 1719 5 the the DT A52264 1719 6 triangle triangle NN A52264 1719 7 LMK LMK NNP A52264 1719 8 being be VBG A52264 1719 9 thus thus RB A52264 1719 10 converted convert VBN A52264 1719 11 into into IN A52264 1719 12 sides side NNS A52264 1719 13 , , , A52264 1719 14 if if IN A52264 1719 15 we -PRON- PRP A52264 1719 16 resolve resolve VBP A52264 1719 17 the the DT A52264 1719 18 triangle triangle NN A52264 1719 19 ABC ABC NNP A52264 1719 20 , , , A52264 1719 21 according accord VBG A52264 1719 22 to to IN A52264 1719 23 the the DT A52264 1719 24 precepts precept NNS A52264 1719 25 of of IN A52264 1719 26 the the DT A52264 1719 27 last last JJ A52264 1719 28 Case case NN A52264 1719 29 , , , A52264 1719 30 we -PRON- PRP A52264 1719 31 may may MD A52264 1719 32 finde finde VB A52264 1719 33 any any DT A52264 1719 34 of of IN A52264 1719 35 the the DT A52264 1719 36 angles angle NNS A52264 1719 37 , , , A52264 1719 38 which which WDT A52264 1719 39 is be VBZ A52264 1719 40 the the DT A52264 1719 41 side side NN A52264 1719 42 inquired inquire VBD A52264 1719 43 . . . A52264 1720 1 Illustration Illustration NNP A52264 1720 2 Arithmetical Arithmetical NNP A52264 1720 3 , , , A52264 1720 4 by by IN A52264 1720 5 the the DT A52264 1720 6 Artificiall Artificiall NNP A52264 1720 7 Canon Canon NNP A52264 1720 8 . . . A52264 1721 1 Let let VB A52264 1721 2 the the DT A52264 1721 3 three three CD A52264 1721 4 angles angle NNS A52264 1721 5 of of IN A52264 1721 6 the the DT A52264 1721 7 triangle triangle NN A52264 1721 8 LMK LMK NNP A52264 1721 9 be be VB A52264 1721 10 given give VBN A52264 1721 11 . . . A52264 1722 1 LMK LMK NNP A52264 1722 2 , , , A52264 1722 3 104 104 NNP A52264 1722 4 deg deg NNP A52264 1722 5 . . . A52264 1723 1 or or CC A52264 1723 2 the the DT A52264 1723 3 complement complement NN A52264 1723 4 of of IN A52264 1723 5 DKI DKI NNP A52264 1723 6 , , , A52264 1723 7 76 76 CD A52264 1723 8 deg deg NN A52264 1723 9 . . . A52264 1724 1 equal equal JJ A52264 1724 2 to to IN A52264 1724 3 AC AC NNP A52264 1724 4 . . . A52264 1725 1 MLK MLK NNP A52264 1725 2 , , , A52264 1725 3 or or CC A52264 1725 4 the the DT A52264 1725 5 side side NN A52264 1725 6 AB AB NNP A52264 1725 7 , , , A52264 1725 8 46 46 CD A52264 1725 9 deg deg NN A52264 1725 10 . . . A52264 1726 1 30 30 CD A52264 1726 2 min min NN A52264 1726 3 . . . A52264 1727 1 LMK LMK NNP A52264 1727 2 , , , A52264 1727 3 or or CC A52264 1727 4 the the DT A52264 1727 5 side side NN A52264 1727 6 BC BC NNP A52264 1727 7 , , , A52264 1727 8 36 36 CD A52264 1727 9 deg deg NN A52264 1727 10 . . . A52264 1728 1 14 14 CD A52264 1728 2 min min NNP A52264 1728 3 . . . A52264 1729 1 To to TO A52264 1729 2 finde finde VB A52264 1729 3 the the DT A52264 1729 4 side side NN A52264 1729 5 ML ML NNP A52264 1729 6 , , , A52264 1729 7 or or CC A52264 1729 8 the the DT A52264 1729 9 angle angle NN A52264 1729 10 ABC ABC NNP A52264 1729 11 . . . A52264 1730 1 The the DT A52264 1730 2 sides side NNS A52264 1730 3 AC AC NNP A52264 1730 4 76 76 CD A52264 1730 5 . . . A52264 1731 1 AB AB NNP A52264 1731 2 46.30 46.30 CD A52264 1731 3 9.859118 9.859118 CD A52264 1731 4 BC BC NNP A52264 1731 5 36.14 36.14 CD A52264 1731 6 9.770675 9.770675 CD A52264 1731 7                 _SP A52264 1731 8 Sum Sum NNP A52264 1731 9 of of IN A52264 1731 10 the the DT A52264 1731 11 sides side NNS A52264 1731 12     _SP A52264 1731 13 158.44 158.44 CD A52264 1731 14 19.629893 19.629893 CD A52264 1731 15                 _SP A52264 1731 16 Halfe Halfe NNP A52264 1731 17 sum sum NN A52264 1731 18     _SP A52264 1731 19 79.22 79.22 CD A52264 1731 20                     _SP A52264 1731 21 Diff Diff NNP A52264 1731 22 . . . A52264 1732 1 of of IN A52264 1732 2 AB AB NNP A52264 1732 3 and and CC A52264 1732 4 the the DT A52264 1732 5 sum sum NN A52264 1732 6     _SP A52264 1732 7 32.92 32.92 CD A52264 1732 8 9.735173 9.735173 CD A52264 1732 9 Dif Dif NNP A52264 1732 10 . . . A52264 1733 1 of of IN A52264 1733 2 BC BC NNP A52264 1733 3 and and CC A52264 1733 4 half half NN A52264 1733 5 sum sum NN A52264 1733 6     _SP A52264 1733 7 43.08 43.08 CD A52264 1733 8 9.834432 9.834432 CD A52264 1733 9 The the DT A52264 1733 10 doubled double VBN A52264 1733 11 Radius Radius NNP A52264 1733 12         _SP A52264 1733 13 20.000000 20.000000 CD A52264 1733 14                     _SP A52264 1733 15 The the DT A52264 1733 16 summe summe JJ A52264 1733 17 39.569605 39.569605 CD A52264 1733 18 Sum Sum NNP A52264 1733 19 of of IN A52264 1733 20 the the DT A52264 1733 21 sides side NNS A52264 1733 22     _SP A52264 1733 23 substract substract NN A52264 1733 24 19.629893 19.629893 CD A52264 1733 25                         _SP A52264 1733 26 The the DT A52264 1733 27 difference difference NN A52264 1733 28 19.939712 19.939712 CD A52264 1733 29         _SP A52264 1733 30 Halfe Halfe NNP A52264 1733 31 difference difference NN A52264 1733 32 9.969856 9.969856 CD A52264 1733 33 The the DT A52264 1733 34 Sine Sine NNP A52264 1733 35 of of IN A52264 1733 36 68 68 CD A52264 1733 37 deg deg NN A52264 1733 38 . . . A52264 1734 1 90 90 CD A52264 1734 2 min min NN A52264 1734 3 . . . A52264 1735 1 which which WDT A52264 1735 2 doubled double VBD A52264 1735 3 is be VBZ A52264 1735 4 137 137 CD A52264 1735 5 deg deg NN A52264 1735 6 . . . A52264 1736 1 80 80 CD A52264 1736 2 min min NN A52264 1736 3 . . . A52264 1737 1 the the DT A52264 1737 2 quantity quantity NN A52264 1737 3 of of IN A52264 1737 4 the the DT A52264 1737 5 angle angle NN A52264 1737 6 ABC ABC NNP A52264 1737 7 , , , A52264 1737 8 and and CC A52264 1737 9 the the DT A52264 1737 10 complement complement NN A52264 1737 11 thereof thereof RB A52264 1737 12 to to IN A52264 1737 13 a a DT A52264 1737 14 semicircle semicircle NN A52264 1737 15 42 42 CD A52264 1737 16 deg deg NN A52264 1737 17 . . . A52264 1738 1 20 20 CD A52264 1738 2 min min NN A52264 1738 3 . . . A52264 1739 1 is be VBZ A52264 1739 2 the the DT A52264 1739 3 angle angle NN A52264 1739 4 FBG fbg NN A52264 1739 5 , , , A52264 1739 6 or or CC A52264 1739 7 the the DT A52264 1739 8 arch arch JJ A52264 1739 9 FG FG NNP A52264 1739 10 , , , A52264 1739 11 equal equal JJ A52264 1739 12 to to IN A52264 1739 13 the the DT A52264 1739 14 side side NN A52264 1739 15 ML ML NNP A52264 1739 16 which which WDT A52264 1739 17 was be VBD A52264 1739 18 inquired inquire VBN A52264 1739 19 . . . A52264 1740 1 Institutio Institutio NNP A52264 1740 2 Mathematica Mathematica NNP A52264 1740 3 : : : A52264 1740 4 OR or CC A52264 1740 5 , , , A52264 1740 6 A a DT A52264 1740 7 MATHEMATICALL MATHEMATICALL NNP A52264 1740 8 Institution Institution NNP A52264 1740 9 : : : A52264 1740 10 The the DT A52264 1740 11 second second JJ A52264 1740 12 Part part NN A52264 1740 13 . . . A52264 1741 1 Containing contain VBG A52264 1741 2 the the DT A52264 1741 3 application application NN A52264 1741 4 and and CC A52264 1741 5 use use NN A52264 1741 6 of of IN A52264 1741 7 the the DT A52264 1741 8 Naturall Naturall NNP A52264 1741 9 and and CC A52264 1741 10 Artificiall Artificiall NNP A52264 1741 11 SINES SINES NNPS A52264 1741 12 and and CC A52264 1741 13 TANGENTS TANGENTS NNP A52264 1741 14 , , , A52264 1741 15 as as IN A52264 1741 16 also also RB A52264 1741 17 of of IN A52264 1741 18 the the DT A52264 1741 19 LOGARITHMS LOGARITHMS NNP A52264 1741 20 , , , A52264 1741 21 IN in IN A52264 1741 22 Astronomie Astronomie NNP A52264 1741 23 , , , A52264 1741 24 Dialling Dialling NNP A52264 1741 25 , , , A52264 1741 26 and and CC A52264 1741 27 Navigation Navigation NNP A52264 1741 28 . . . A52264 1742 1 By by IN A52264 1742 2 JOHN JOHN NNP A52264 1742 3 NEWTON NEWTON NNP A52264 1742 4 . . . A52264 1743 1 LONDON LONDON NNP A52264 1743 2 , , , A52264 1743 3 Printed Printed NNP A52264 1743 4 Anno Anno NNP A52264 1743 5 Domini Domini NNP A52264 1743 6 , , , A52264 1743 7 1654 1654 CD A52264 1743 8 . . . A52264 1744 1 A a DT A52264 1744 2 Mathematicall Mathematicall NNP A52264 1744 3 Institution institution NN A52264 1744 4 : : : A52264 1744 5 The the DT A52264 1744 6 second second JJ A52264 1744 7 Part part NN A52264 1744 8 . . . A52264 1745 1 CHAP CHAP NNP A52264 1745 2 . . . A52264 1746 1 I. I. NNP A52264 1747 1 Of of IN A52264 1747 2 the the DT A52264 1747 3 Tables Tables NNPS A52264 1747 4 of of IN A52264 1747 5 the the DT A52264 1747 6 Suns Suns NNPS A52264 1747 7 motion motion NN A52264 1747 8 , , , A52264 1747 9 and and CC A52264 1747 10 of of IN A52264 1747 11 the the DT A52264 1747 12 equation equation NN A52264 1747 13 of of IN A52264 1747 14 time time NN A52264 1747 15 for for IN A52264 1747 16 the the DT A52264 1747 17 difference difference NN A52264 1747 18 of of IN A52264 1747 19 Meridians Meridians NNPS A52264 1747 20 . . . A52264 1748 1 WHereas whereas IN A52264 1748 2 it -PRON- PRP A52264 1748 3 is be VBZ A52264 1748 4 requisite requisite JJ A52264 1748 5 that that IN A52264 1748 6 the the DT A52264 1748 7 Reader reader NN A52264 1748 8 should should MD A52264 1748 9 be be VB A52264 1748 10 acquainted acquaint VBN A52264 1748 11 with with IN A52264 1748 12 the the DT A52264 1748 13 Sphere Sphere NNP A52264 1748 14 , , , A52264 1748 15 before before IN A52264 1748 16 he -PRON- PRP A52264 1748 17 enter enter VBP A52264 1748 18 upon upon IN A52264 1748 19 the the DT A52264 1748 20 practise practise NN A52264 1748 21 of of IN A52264 1748 22 Spherical Spherical NNP A52264 1748 23 Trigonometri Trigonometri NNP A52264 1748 24 , , , A52264 1748 25 the the DT A52264 1748 26 which which WDT A52264 1748 27 is be VBZ A52264 1748 28 fully fully RB A52264 1748 29 explained explain VBN A52264 1748 30 in in IN A52264 1748 31 Blundeviles Blundeviles NNP A52264 1748 32 Exercises Exercises NNP A52264 1748 33 , , , A52264 1748 34 or or CC A52264 1748 35 Ch ch NN A52264 1748 36 ● ● NFP A52264 1748 37 lmades lmade VBZ A52264 1748 38 translation translation NN A52264 1748 39 of of IN A52264 1748 40 Hues Hues NNP A52264 1748 41 on on IN A52264 1748 42 the the DT A52264 1748 43 Globes Globes NNPS A52264 1748 44 , , , A52264 1748 45 to to IN A52264 1748 46 whom whom WP A52264 1748 47 I -PRON- PRP A52264 1748 48 refer refer VBP A52264 1748 49 those those DT A52264 1748 50 that that WDT A52264 1748 51 are be VBP A52264 1748 52 not not RB A52264 1748 53 yet yet RB A52264 1748 54 acquainted acquaint VBN A52264 1748 55 therewith therewith NNP A52264 1748 56 : : : A52264 1748 57 that that IN A52264 1748 58 which which WDT A52264 1748 59 I -PRON- PRP A52264 1748 60 here here RB A52264 1748 61 intend intend VBP A52264 1748 62 is be VBZ A52264 1748 63 to to TO A52264 1748 64 shew shew VB A52264 1748 65 the the DT A52264 1748 66 use use NN A52264 1748 67 of of IN A52264 1748 68 Trigonometrie Trigonometrie NNP A52264 1748 69 in in IN A52264 1748 70 the the DT A52264 1748 71 actuall actuall NN A52264 1748 72 resolution resolution NN A52264 1748 73 of of IN A52264 1748 74 so so RB A52264 1748 75 me -PRON- PRP A52264 1748 76 known known JJ A52264 1748 77 Triangles triangle NNS A52264 1748 78 of of IN A52264 1748 79 the the DT A52264 1748 80 Sphere Sphere NNP A52264 1748 81 . . . A52264 1749 1 And and CC A52264 1749 2 because because IN A52264 1749 3 the the DT A52264 1749 4 Suns Suns NNPS A52264 1749 5 place place NN A52264 1749 6 or or CC A52264 1749 7 distance distance NN A52264 1749 8 from from IN A52264 1749 9 the the DT A52264 1749 10 next next JJ A52264 1749 11 Equinoctial equinoctial JJ A52264 1749 12 point point NN A52264 1749 13 is be VBZ A52264 1749 14 usually usually RB A52264 1749 15 one one CD A52264 1749 16 of of IN A52264 1749 17 the the DT A52264 1749 18 three three CD A52264 1749 19 terms term NNS A52264 1749 20 given give VBN A52264 1749 21 in in IN A52264 1749 22 Astronomical Astronomical NNP A52264 1749 23 Questions Questions NNPS A52264 1749 24 , , , A52264 1749 25 I -PRON- PRP A52264 1749 26 will will MD A52264 1749 27 first first RB A52264 1749 28 shew shew VB A52264 1749 29 how how WRB A52264 1749 30 to to TO A52264 1749 31 compute compute VB A52264 1749 32 that that IN A52264 1749 33 by by IN A52264 1749 34 Tables table NNS A52264 1749 35 calculated calculate VBN A52264 1749 36 in in IN A52264 1749 37 Decimal Decimal NNP A52264 1749 38 numbers number NNS A52264 1749 39 according accord VBG A52264 1749 40 to to IN A52264 1749 41 the the DT A52264 1749 42 Hypothesis Hypothesis NNP A52264 1749 43 of of IN A52264 1749 44 Bullialdus Bullialdus NNP A52264 1749 45 , , , A52264 1749 46 and and CC A52264 1749 47 for for IN A52264 1749 48 the the DT A52264 1749 49 Meridian Meridian NNP A52264 1749 50 of of IN A52264 1749 51 London London NNP A52264 1749 52 , , , A52264 1749 53 whose whose WP$ A52264 1749 54 Longitude longitude NN A52264 1749 55 reckoned reckon VBD A52264 1749 56 from from IN A52264 1749 57 the the DT A52264 1749 58 Canarie Canarie NNP A52264 1749 59 or or CC A52264 1749 60 Fortunate Fortunate NNP A52264 1749 61 Islands Islands NNPS A52264 1749 62 is be VBZ A52264 1749 63 21 21 CD A52264 1749 64 deg deg NN A52264 1749 65 . . . A52264 1750 1 and and CC A52264 1750 2 the the DT A52264 1750 3 Latitude Latitude NNP A52264 1750 4 , , , A52264 1750 5 North North NNP A52264 1750 6 , , , A52264 1750 7 51 51 CD A52264 1750 8 deg deg NN A52264 1750 9 . . . A52264 1751 1 57 57 CD A52264 1751 2 parts part NNS A52264 1751 3 ( ( -LRB- A52264 1751 4 min min NNP A52264 1751 5 . . . A52264 1751 6 ) ) -RRB- A52264 1752 1 or or CC A52264 1752 2 centesms centesm NNS A52264 1752 3 of of IN A52264 1752 4 a a DT A52264 1752 5 degree degree NN A52264 1752 6 . . . A52264 1753 1 Nor nor CC A52264 1753 2 are be VBP A52264 1753 3 these these DT A52264 1753 4 Tables table NNS A52264 1753 5 so so RB A52264 1753 6 confined confine VBD A52264 1753 7 to to IN A52264 1753 8 this this DT A52264 1753 9 Meridian Meridian NNP A52264 1753 10 , , , A52264 1753 11 but but CC A52264 1753 12 that that IN A52264 1753 13 they -PRON- PRP A52264 1753 14 may may MD A52264 1753 15 be be VB A52264 1753 16 reduced reduce VBN A52264 1753 17 to to IN A52264 1753 18 any any DT A52264 1753 19 other other JJ A52264 1753 20 : : : A52264 1753 21 If if IN A52264 1753 22 the the DT A52264 1753 23 place place NN A52264 1753 24 be be VB A52264 1753 25 East East NNP A52264 1753 26 of of IN A52264 1753 27 London London NNP A52264 1753 28 , , , A52264 1753 29 adde adde JJ A52264 1753 30 to to IN A52264 1753 31 the the DT A52264 1753 32 time time NN A52264 1753 33 given give VBN A52264 1753 34 , , , A52264 1753 35 but but CC A52264 1753 36 if if IN A52264 1753 37 it -PRON- PRP A52264 1753 38 be be VB A52264 1753 39 West West NNP A52264 1753 40 make make VB A52264 1753 41 substraction substraction NN A52264 1753 42 , , , A52264 1753 43 according accord VBG A52264 1753 44 to to IN A52264 1753 45 the the DT A52264 1753 46 difference difference NN A52264 1753 47 of of IN A52264 1753 48 Longitude Longitude NNP A52264 1753 49 , , , A52264 1753 50 allowing allow VBG A52264 1753 51 15 15 CD A52264 1753 52 deg deg NN A52264 1753 53 . . . A52264 1754 1 for for IN A52264 1754 2 an an DT A52264 1754 3 houre houre NN A52264 1754 4 , , , A52264 1754 5 and and CC A52264 1754 6 6 6 CD A52264 1754 7 minutes minute NNS A52264 1754 8 or or CC A52264 1754 9 centesms centesm NNS A52264 1754 10 of of IN A52264 1754 11 an an DT A52264 1754 12 houre houre NN A52264 1754 13 to to IN A52264 1754 14 one one CD A52264 1754 15 degree degree NN A52264 1754 16 , , , A52264 1754 17 so so CC A52264 1754 18 will will MD A52264 1754 19 the the DT A52264 1754 20 sum sum NN A52264 1754 21 or or CC A52264 1754 22 difference difference NN A52264 1754 23 be be VB A52264 1754 24 the the DT A52264 1754 25 time time NN A52264 1754 26 aequated aequate VBN A52264 1754 27 to to IN A52264 1754 28 the the DT A52264 1754 29 Meridian Meridian NNP A52264 1754 30 of of IN A52264 1754 31 London London NNP A52264 1754 32 , , , A52264 1754 33 and and CC A52264 1754 34 for for IN A52264 1754 35 the the DT A52264 1754 36 more more RBR A52264 1754 37 speedy speedy JJ A52264 1754 38 effecting effecting NN A52264 1754 39 of of IN A52264 1754 40 the the DT A52264 1754 41 said say VBN A52264 1754 42 Reduction Reduction NNP A52264 1754 43 , , , A52264 1754 44 I -PRON- PRP A52264 1754 45 have have VBP A52264 1754 46 added add VBN A52264 1754 47 a a DT A52264 1754 48 Catalogue Catalogue NNP A52264 1754 49 of of IN A52264 1754 50 many many JJ A52264 1754 51 of of IN A52264 1754 52 the the DT A52264 1754 53 chiefest chief JJS A52264 1754 54 Towns town NNS A52264 1754 55 and and CC A52264 1754 56 Cities Cities NNPS A52264 1754 57 in in IN A52264 1754 58 diverse diverse JJ A52264 1754 59 Regions region NNS A52264 1754 60 , , , A52264 1754 61 with with IN A52264 1754 62 their -PRON- PRP$ A52264 1754 63 Latitudes latitude NNS A52264 1754 64 and and CC A52264 1754 65 difference difference NN A52264 1754 66 of of IN A52264 1754 67 Meridians Meridians NNPS A52264 1754 68 from from IN A52264 1754 69 London London NNP A52264 1754 70 in in IN A52264 1754 71 time time NN A52264 1754 72 , , , A52264 1754 73 together together RB A52264 1754 74 with with IN A52264 1754 75 the the DT A52264 1754 76 notes note NNS A52264 1754 77 of of IN A52264 1754 78 Addition Addition NNP A52264 1754 79 and and CC A52264 1754 80 Substraction Substraction NNP A52264 1754 81 , , , A52264 1754 82 the the DT A52264 1754 83 use use NN A52264 1754 84 whereof whereof NNP A52264 1754 85 is be VBZ A52264 1754 86 thus thus RB A52264 1754 87 . . . A52264 1755 1 Suppose suppose VB A52264 1755 2 the the DT A52264 1755 3 time time NN A52264 1755 4 of of IN A52264 1755 5 the the DT A52264 1755 6 Suns Suns NNPS A52264 1755 7 enterance enterance NN A52264 1755 8 into into IN A52264 1755 9 Taurus Taurus NNP A52264 1755 10 were be VBD A52264 1755 11 at at IN A52264 1755 12 London London NNP A52264 1755 13 Aprill Aprill NNP A52264 1755 14 the the DT A52264 1755 15 10th 10th NN A52264 1755 16 . . . A52264 1756 1 1654 1654 CD A52264 1756 2 , , , A52264 1756 3 at at IN A52264 1756 4 11 11 CD A52264 1756 5 of of IN A52264 1756 6 the the DT A52264 1756 7 clock clock NN A52264 1756 8 and and CC A52264 1756 9 16 16 CD A52264 1756 10 centesms centesm NNS A52264 1756 11 before before IN A52264 1756 12 noon noon NN A52264 1756 13 , , , A52264 1756 14 and and CC A52264 1756 15 it -PRON- PRP A52264 1756 16 be be VB A52264 1756 17 required require VBN A52264 1756 18 to to TO A52264 1756 19 reduce reduce VB A52264 1756 20 the the DT A52264 1756 21 same same JJ A52264 1756 22 to to IN A52264 1756 23 the the DT A52264 1756 24 Meridian Meridian NNP A52264 1756 25 of of IN A52264 1756 26 Vraniburge Vraniburge NNP A52264 1756 27 , , , A52264 1756 28 I -PRON- PRP A52264 1756 29 therefore therefore RB A52264 1756 30 seeke seeke NNP A52264 1756 31 Vraniburge Vraniburge NNP A52264 1756 32 in in IN A52264 1756 33 the the DT A52264 1756 34 Catalogue Catalogue NNP A52264 1756 35 of of IN A52264 1756 36 Cities Cities NNPS A52264 1756 37 and and CC A52264 1756 38 Places Places NNPS A52264 1756 39 , , , A52264 1756 40 against against IN A52264 1756 41 which which WDT A52264 1756 42 I -PRON- PRP A52264 1756 43 finde finde VBP A52264 1756 44 83 83 CD A52264 1756 45 with with IN A52264 1756 46 the the DT A52264 1756 47 letter letter NN A52264 1756 48 A a DT A52264 1756 49 annexed annexed NN A52264 1756 50 , , , A52264 1756 51 therefore therefore RB A52264 1756 52 I -PRON- PRP A52264 1756 53 conclude conclude VBP A52264 1756 54 , , , A52264 1756 55 that that IN A52264 1756 56 the the DT A52264 1756 57 Sun Sun NNP A52264 1756 58 did do VBD A52264 1756 59 that that DT A52264 1756 60 day day NN A52264 1756 61 at at IN A52264 1756 62 Uraniburge Uraniburge NNP A52264 1756 63 enter enter VBP A52264 1756 64 into into IN A52264 1756 65 Taurus Taurus NNP A52264 1756 66 at at IN A52264 1756 67 11 11 CD A52264 1756 68 of of IN A52264 1756 69 the the DT A52264 1756 70 clock clock NN A52264 1756 71 and and CC A52264 1756 72 99 99 CD A52264 1756 73 min min NN A52264 1756 74 . . . A52264 1757 1 or or CC A52264 1757 2 centesms centesm NNS A52264 1757 3 before before IN A52264 1757 4 noon noon NN A52264 1757 5 , , , A52264 1757 6 and and CC A52264 1757 7 so so RB A52264 1757 8 of of IN A52264 1757 9 any any DT A52264 1757 10 other other JJ A52264 1757 11 . . . A52264 1758 1 Problem problem NN A52264 1758 2 1 1 CD A52264 1758 3 . . . A52264 1759 1 To to TO A52264 1759 2 calculate calculate VB A52264 1759 3 the the DT A52264 1759 4 Suns Suns NNPS A52264 1759 5 true true JJ A52264 1759 6 place place NN A52264 1759 7 . . . A52264 1760 1 THe the DT A52264 1760 2 form form NN A52264 1760 3 of of IN A52264 1760 4 these these DT A52264 1760 5 our -PRON- PRP$ A52264 1760 6 Tables table NNS A52264 1760 7 of of IN A52264 1760 8 the the DT A52264 1760 9 Suns Suns NNPS A52264 1760 10 motion motion NN A52264 1760 11 is be VBZ A52264 1760 12 this this DT A52264 1760 13 , , , A52264 1760 14 In in IN A52264 1760 15 the the DT A52264 1760 16 first first JJ A52264 1760 17 page page NN A52264 1760 18 is be VBZ A52264 1760 19 had have VBD A52264 1760 20 his -PRON- PRP$ A52264 1760 21 motion motion NN A52264 1760 22 in in IN A52264 1760 23 Julian julian JJ A52264 1760 24 years year NNS A52264 1760 25 compleat compleat VBP A52264 1760 26 , , , A52264 1760 27 the the DT A52264 1760 28 Epochaes epochae NNS A52264 1760 29 or or CC A52264 1760 30 roots root NNS A52264 1760 31 of of IN A52264 1760 32 motions motion NNS A52264 1760 33 being be VBG A52264 1760 34 prefixed prefix VBN A52264 1760 35 , , , A52264 1760 36 which which WDT A52264 1760 37 sheweth sheweth VBZ A52264 1760 38 the the DT A52264 1760 39 place place NN A52264 1760 40 of of IN A52264 1760 41 the the DT A52264 1760 42 Sun Sun NNP A52264 1760 43 at at IN A52264 1760 44 that that DT A52264 1760 45 time time NN A52264 1760 46 where where WRB A52264 1760 47 the the DT A52264 1760 48 Epocha Epocha NNP A52264 1760 49 adscribed adscribe VBD A52264 1760 50 hath hath NNP A52264 1760 51 its -PRON- PRP$ A52264 1760 52 beginning beginning NN A52264 1760 53 : : : A52264 1760 54 the the DT A52264 1760 55 Tables Tables NNPS A52264 1760 56 in in IN A52264 1760 57 the the DT A52264 1760 58 following follow VBG A52264 1760 59 pages page NNS A52264 1760 60 serve serve VBP A52264 1760 61 for for IN A52264 1760 62 Julian Julian NNP A52264 1760 63 Years Years NNPS A52264 1760 64 , , , A52264 1760 65 Moneths Moneths NNPS A52264 1760 66 , , , A52264 1760 67 Dayes Dayes NNP A52264 1760 68 , , , A52264 1760 69 Houres Houres NNP A52264 1760 70 , , , A52264 1760 71 and and CC A52264 1760 72 Parts part NNS A52264 1760 73 , , , A52264 1760 74 as as IN A52264 1760 75 by by IN A52264 1760 76 their -PRON- PRP$ A52264 1760 77 Titles title NNS A52264 1760 78 it -PRON- PRP A52264 1760 79 doth doth RB A52264 1760 80 appear appear VBP A52264 1760 81 . . . A52264 1761 1 The the DT A52264 1761 2 Years year NNS A52264 1761 3 , , , A52264 1761 4 Moneths Moneths NNPS A52264 1761 5 , , , A52264 1761 6 and and CC A52264 1761 7 Dayes Dayes NNP A52264 1761 8 , , , A52264 1761 9 are be VBP A52264 1761 10 taken take VBN A52264 1761 11 compleat compleat NN A52264 1761 12 , , , A52264 1761 13 the the DT A52264 1761 14 Houres Houres NNPS A52264 1761 15 and and CC A52264 1761 16 Scruples Scruples NNPS A52264 1761 17 current current NN A52264 1761 18 . . . A52264 1762 1 After after IN A52264 1762 2 these these DT A52264 1762 3 Tables table NNS A52264 1762 4 followeth followeth VBP A52264 1762 5 another another DT A52264 1762 6 , , , A52264 1762 7 which which WDT A52264 1762 8 contains contain VBZ A52264 1762 9 the the DT A52264 1762 10 Aequations Aequations NNPS A52264 1762 11 of of IN A52264 1762 12 the the DT A52264 1762 13 Eccentrick Eccentrick NNP A52264 1762 14 to to IN A52264 1762 15 every every DT A52264 1762 16 degree degree NN A52264 1762 17 of of IN A52264 1762 18 a a DT A52264 1762 19 Semicircle Semicircle NNP A52264 1762 20 , , , A52264 1762 21 by by IN A52264 1762 22 which which WDT A52264 1762 23 you -PRON- PRP A52264 1762 24 may may MD A52264 1762 25 thus thus RB A52264 1762 26 compute compute VB A52264 1762 27 the the DT A52264 1762 28 Suns Suns NNP A52264 1762 29 place place NN A52264 1762 30 . . . A52264 1763 1 First first RB A52264 1763 2 , , , A52264 1763 3 Write write VB A52264 1763 4 out out RP A52264 1763 5 the the DT A52264 1763 6 Epocha Epocha NNP A52264 1763 7 next next RB A52264 1763 8 going go VBG A52264 1763 9 before before IN A52264 1763 10 the the DT A52264 1763 11 given give VBN A52264 1763 12 time time NN A52264 1763 13 , , , A52264 1763 14 then then RB A52264 1763 15 severally severally RB A52264 1763 16 set set VBN A52264 1763 17 under under IN A52264 1763 18 those those DT A52264 1763 19 the the DT A52264 1763 20 motions motion NNS A52264 1763 21 belonging belong VBG A52264 1763 22 to to IN A52264 1763 23 the the DT A52264 1763 24 years year NNS A52264 1763 25 , , , A52264 1763 26 moneths moneth NNS A52264 1763 27 , , , A52264 1763 28 and and CC A52264 1763 29 dayes dayes NNP A52264 1763 30 compleat compleat NNP A52264 1763 31 , , , A52264 1763 32 and and CC A52264 1763 33 to to IN A52264 1763 34 the the DT A52264 1763 35 hours hour NNS A52264 1763 36 and and CC A52264 1763 37 scruples scruple NNS A52264 1763 38 current current JJ A52264 1763 39 , , , A52264 1763 40 every every DT A52264 1763 41 one one CD A52264 1763 42 under under IN A52264 1763 43 his -PRON- PRP$ A52264 1763 44 like like NN A52264 1763 45 , , , A52264 1763 46 ( ( -LRB- A52264 1763 47 onely onely RB A52264 1763 48 remember remember VB A52264 1763 49 that that IN A52264 1763 50 in in IN A52264 1763 51 the the DT A52264 1763 52 Bissextile Bissextile NNP A52264 1763 53 year year NN A52264 1763 54 , , , A52264 1763 55 after after IN A52264 1763 56 the the DT A52264 1763 57 end end NN A52264 1763 58 of of IN A52264 1763 59 February February NNP A52264 1763 60 , , , A52264 1763 61 the the DT A52264 1763 62 dayes daye NNS A52264 1763 63 must must MD A52264 1763 64 be be VB A52264 1763 65 increased increase VBN A52264 1763 66 by by IN A52264 1763 67 an an DT A52264 1763 68 unit unit NN A52264 1763 69 ) ) -RRB- A52264 1763 70 then then RB A52264 1763 71 adding add VBG A52264 1763 72 them -PRON- PRP A52264 1763 73 all all DT A52264 1763 74 together together RB A52264 1763 75 , , , A52264 1763 76 the the DT A52264 1763 77 summe summe NN A52264 1763 78 shall shall MD A52264 1763 79 be be VB A52264 1763 80 the the DT A52264 1763 81 Suns Suns NNPS A52264 1763 82 mean mean VB A52264 1763 83 motion motion NN A52264 1763 84 for for IN A52264 1763 85 the the DT A52264 1763 86 time time NN A52264 1763 87 given give VBN A52264 1763 88 . . . A52264 1764 1 Example example NN A52264 1764 2 . . . A52264 1765 1 Let let VB A52264 1765 2 the the DT A52264 1765 3 given give VBN A52264 1765 4 time time NN A52264 1765 5 be be VB A52264 1765 6 1654 1654 CD A52264 1765 7 , , , A52264 1765 8 May May NNP A52264 1765 9 13 13 CD A52264 1765 10 , , , A52264 1765 11 11 11 CD A52264 1765 12 hours hour NNS A52264 1765 13 , , , A52264 1765 14 25 25 CD A52264 1765 15 scruples scruple NNS A52264 1765 16 before before IN A52264 1765 17 noon noon NN A52264 1765 18 at at IN A52264 1765 19 London London NNP A52264 1765 20 , , , A52264 1765 21 and and CC A52264 1765 22 the the DT A52264 1765 23 Suns Suns NNPS A52264 1765 24 place place NN A52264 1765 25 to to TO A52264 1765 26 be be VB A52264 1765 27 sought seek VBN A52264 1765 28 . . . A52264 1766 1 The the DT A52264 1766 2 numbers number NNS A52264 1766 3 are be VBP A52264 1766 4 thus thus RB A52264 1766 5 : : : A52264 1766 6     _SP A52264 1766 7 Longit Longit NNP A52264 1766 8 . . . A52264 1767 1 ☉ ☉ NNP A52264 1767 2 Aphel Aphel NNP A52264 1767 3 . . . A52264 1768 1 ☉ ☉ NNP A52264 1768 2 The the DT A52264 1768 3 Epocha Epocha NNP A52264 1768 4 1640 1640 CD A52264 1768 5 291.2536 291.2536 CD A52264 1768 6 96.2297 96.2297 CD A52264 1768 7 Years year NNS A52264 1768 8 compl compl JJ A52264 1768 9 . . . A52264 1769 1 13 13 CD A52264 1769 2 359.8508 359.8508 CD A52264 1769 3 2052 2052 CD A52264 1769 4 Moneth Moneth NNP A52264 1769 5 co co NN A52264 1769 6 . . . A52264 1770 1 April April NNP A52264 1770 2 118.2775 118.2775 CD A52264 1770 3 53 53 CD A52264 1770 4 Dayes Dayes NNP A52264 1770 5 compl compl NN A52264 1770 6 . . . A52264 1771 1 12 12 CD A52264 1771 2 11.8278 11.8278 CD A52264 1771 3 6 6 CD A52264 1771 4 Hours hour NNS A52264 1771 5 23 23 CD A52264 1771 6 9444 9444 CD A52264 1771 7     _SP A52264 1771 8 Scruples Scruples NNP A52264 1771 9 25 25 CD A52264 1771 10 102 102 CD A52264 1771 11                 _SP A52264 1771 12 Sū Sū NNP A52264 1771 13 or or CC A52264 1771 14 mean mean VB A52264 1771 15 motiō motiō . A52264 1771 16 782.1643 782.1643 NNP A52264 1771 17 96.4308 96.4308 CD A52264 1771 18 2 2 CD A52264 1771 19 . . . A52264 1772 1 Substract substract VB A52264 1772 2 the the DT A52264 1772 3 Aphelium Aphelium NNP A52264 1772 4 from from IN A52264 1772 5 the the DT A52264 1772 6 mean mean NN A52264 1772 7 Longitude Longitude NNP A52264 1772 8 , , , A52264 1772 9 there there EX A52264 1772 10 rests rest VBZ A52264 1772 11 the the DT A52264 1772 12 mean mean NN A52264 1772 13 Anomalie Anomalie NNP A52264 1772 14 , , , A52264 1772 15 if if IN A52264 1772 16 it -PRON- PRP A52264 1772 17 exceed exceed VBP A52264 1772 18 not not RB A52264 1772 19 360 360 CD A52264 1772 20 degrees degree NNS A52264 1772 21 , , , A52264 1772 22 but but CC A52264 1772 23 if if IN A52264 1772 24 it -PRON- PRP A52264 1772 25 exceed exceed VBP A52264 1772 26 360 360 CD A52264 1772 27 degr degr NN A52264 1772 28 . . . A52264 1773 1 360 360 CD A52264 1773 2 being be VBG A52264 1773 3 taken take VBN A52264 1773 4 from from IN A52264 1773 5 their -PRON- PRP$ A52264 1773 6 difference difference NN A52264 1773 7 , , , A52264 1773 8 as as RB A52264 1773 9 oft oft RB A52264 1773 10 as as IN A52264 1773 11 it -PRON- PRP A52264 1773 12 can can MD A52264 1773 13 , , , A52264 1773 14 the the DT A52264 1773 15 rest rest NN A52264 1773 16 is be VBZ A52264 1773 17 the the DT A52264 1773 18 mean mean NN A52264 1773 19 Anomalie Anomalie NNP A52264 1773 20 sought seek VBD A52264 1773 21 . . . A52264 1774 1 Example example NN A52264 1774 2 . . . A52264 1775 1 The the DT A52264 1775 2 ☉ ☉ NNPS A52264 1775 3 mean mean VBP A52264 1775 4 Longitude Longitude NNP A52264 1775 5 782.1643 782.1643 NNP A52264 1775 6 The the DT A52264 1775 7 Aphelium Aphelium NNP A52264 1775 8 substracted substracte VBD A52264 1775 9 96.4308 96.4308 CD A52264 1775 10 There there EX A52264 1775 11 rests rest VBZ A52264 1775 12 685.7335 685.7335 NN A52264 1775 13 From from IN A52264 1775 14 whence whence NN A52264 1775 15 deduct deduct VB A52264 1775 16 360 360 CD A52264 1775 17 . . . A52264 1776 1 There there EX A52264 1776 2 rests rest VBZ A52264 1776 3 the the DT A52264 1776 4 mean mean NN A52264 1776 5 Anomalie Anomalie NNP A52264 1776 6 . . . A52264 1777 1 325.7335 325.7335 NNP A52264 1777 2 3 3 CD A52264 1777 3 . . . A52264 1778 1 With with IN A52264 1778 2 the the DT A52264 1778 3 mean mean NN A52264 1778 4 Anomalie Anomalie NNP A52264 1778 5 enter enter VBP A52264 1778 6 the the DT A52264 1778 7 Table table NN A52264 1778 8 of of IN A52264 1778 9 the the DT A52264 1778 10 Suns Suns NNPS A52264 1778 11 Eccentrick Eccentrick NNP A52264 1778 12 Equation Equation NNP A52264 1778 13 , , , A52264 1778 14 with with IN A52264 1778 15 the the DT A52264 1778 16 degree degree NN A52264 1778 17 descending descend VBG A52264 1778 18 on on IN A52264 1778 19 the the DT A52264 1778 20 left left JJ A52264 1778 21 side side NN A52264 1778 22 , , , A52264 1778 23 if if IN A52264 1778 24 the the DT A52264 1778 25 number number NN A52264 1778 26 thereof thereof RB A52264 1778 27 be be VB A52264 1778 28 lesse lesse NNP A52264 1778 29 then then RB A52264 1778 30 180 180 CD A52264 1778 31 ; ; : A52264 1778 32 and and CC A52264 1778 33 ascending ascend VBG A52264 1778 34 on on IN A52264 1778 35 the the DT A52264 1778 36 right right JJ A52264 1778 37 side side NN A52264 1778 38 , , , A52264 1778 39 if if IN A52264 1778 40 it -PRON- PRP A52264 1778 41 exceed exceed VBP A52264 1778 42 180 180 CD A52264 1778 43 , , , A52264 1778 44 and and CC A52264 1778 45 in in IN A52264 1778 46 a a DT A52264 1778 47 straight straight JJ A52264 1778 48 line line NN A52264 1778 49 you -PRON- PRP A52264 1778 50 have have VBP A52264 1778 51 the the DT A52264 1778 52 Equation Equation NNP A52264 1778 53 answering answer VBG A52264 1778 54 thereunto thereunto NNS A52264 1778 55 , , , A52264 1778 56 using use VBG A52264 1778 57 the the DT A52264 1778 58 part part NN A52264 1778 59 proportional proportional JJ A52264 1778 60 , , , A52264 1778 61 if if IN A52264 1778 62 need need NN A52264 1778 63 require require VB A52264 1778 64 . . . A52264 1779 1 Lastly lastly RB A52264 1779 2 , , , A52264 1779 3 according accord VBG A52264 1779 4 to to IN A52264 1779 5 the the DT A52264 1779 6 title title NN A52264 1779 7 Add Add NNP A52264 1779 8 or or CC A52264 1779 9 Substract substract VB A52264 1779 10 this this DT A52264 1779 11 Equation equation NN A52264 1779 12 found find VBD A52264 1779 13 to to IN A52264 1779 14 or or CC A52264 1779 15 from from IN A52264 1779 16 the the DT A52264 1779 17 mean mean JJ A52264 1779 18 longitude longitude NN A52264 1779 19 ; ; : A52264 1779 20 so so CC A52264 1779 21 have have VBP A52264 1779 22 you -PRON- PRP A52264 1779 23 the the DT A52264 1779 24 Suns Suns NNPS A52264 1779 25 true true JJ A52264 1779 26 place place NN A52264 1779 27 . . . A52264 1780 1 Example example NN A52264 1780 2 . . . A52264 1781 1 The the DT A52264 1781 2 Suns Suns NNPS A52264 1781 3 mean mean VBP A52264 1781 4 longitude longitude NN A52264 1781 5 782.1643 782.1643 JJ A52264 1781 6 Or or CC A52264 1781 7 deducting deduct VBG A52264 1781 8 two two CD A52264 1781 9 circles circle NNS A52264 1781 10 , , , A52264 1781 11 720 720 CD A52264 1781 12 . . . A52264 1782 1 The the DT A52264 1782 2 Suns Suns NNPS A52264 1782 3 mean mean NN A52264 1782 4 longitude longitude NN A52264 1782 5 is be VBZ A52264 1782 6 62.1643 62.1643 CD A52264 1782 7 The the DT A52264 1782 8 Suns Suns NNPS A52264 1782 9 mean mean NN A52264 1782 10 Anomalie Anomalie NNP A52264 1782 11 325.7335 325.7335 NN A52264 1782 12 In in IN A52264 1782 13 this this DT A52264 1782 14 Table table NN A52264 1782 15 the the DT A52264 1782 16 Equation Equation NNP A52264 1782 17 answering answer VBG A52264 1782 18 to to IN A52264 1782 19 325 325 CD A52264 1782 20 degrees degree NNS A52264 1782 21 is be VBZ A52264 1782 22 1.1525 1.1525 CD A52264 1782 23 The the DT A52264 1782 24 Equation Equation NNP A52264 1782 25 answering answer VBG A52264 1782 26 to to IN A52264 1782 27 326 326 CD A52264 1782 28 degrees degree NNS A52264 1782 29 is be VBZ A52264 1782 30 1.1236 1.1236 CD A52264 1782 31 And and CC A52264 1782 32 their -PRON- PRP$ A52264 1782 33 difference difference NN A52264 1782 34 289 289 CD A52264 1782 35 . . . A52264 1783 1 Now now RB A52264 1783 2 then then RB A52264 1783 3 if if IN A52264 1783 4 one one CD A52264 1783 5 degree degree NN A52264 1783 6 or or CC A52264 1783 7 10000 10000 CD A52264 1783 8 Give give VB A52264 1783 9 289 289 CD A52264 1783 10 What what WP A52264 1783 11 shall shall MD A52264 1783 12 7335 7335 CD A52264 1783 13 Give give VB A52264 1783 14 , , , A52264 1783 15 the the DT A52264 1783 16 product product NN A52264 1783 17 of of IN A52264 1783 18 the the DT A52264 1783 19 second second JJ A52264 1783 20 and and CC A52264 1783 21 third third JJ A52264 1783 22 term term NN A52264 1783 23 is be VBZ A52264 1783 24 2119815 2119815 CD A52264 1783 25 , , , A52264 1783 26 and and CC A52264 1783 27 this this DT A52264 1783 28 divided divide VBN A52264 1783 29 by by IN A52264 1783 30 10000 10000 CD A52264 1783 31 the the DT A52264 1783 32 first first JJ A52264 1783 33 term term NN A52264 1783 34 given give VBN A52264 1783 35 , , , A52264 1783 36 the the DT A52264 1783 37 quotient quotient NN A52264 1783 38 or or CC A52264 1783 39 term term NN A52264 1783 40 required require VBN A52264 1783 41 will will MD A52264 1783 42 be be VB A52264 1783 43 212 212 CD A52264 1783 44 fere fere RB A52264 1783 45 , , , A52264 1783 46 which which WDT A52264 1783 47 being be VBG A52264 1783 48 deducted deduct VBN A52264 1783 49 from from IN A52264 1783 50 1.1525 1.1525 CD A52264 1783 51 , , , A52264 1783 52 the the DT A52264 1783 53 Equation Equation NNP A52264 1783 54 answering answer VBG A52264 1783 55 to to IN A52264 1783 56 325 325 CD A52264 1783 57 degr degr NN A52264 1783 58 . . . A52264 1784 1 because because IN A52264 1784 2 the the DT A52264 1784 3 Equation Equation NNP A52264 1784 4 decreased decrease VBD A52264 1784 5 , , , A52264 1784 6 their -PRON- PRP$ A52264 1784 7 difference difference NN A52264 1784 8 1.1313 1.1313 CD A52264 1784 9 . . . A52264 1785 1 is be VBZ A52264 1785 2 the the DT A52264 1785 3 true true JJ A52264 1785 4 Equation Equation NNP A52264 1785 5 of of IN A52264 1785 6 this this DT A52264 1785 7 mean mean NN A52264 1785 8 Anomalie Anomalie NNP A52264 1785 9 , , , A52264 1785 10 which which WDT A52264 1785 11 being be VBG A52264 1785 12 added add VBN A52264 1785 13 to to IN A52264 1785 14 the the DT A52264 1785 15 Suns Suns NNPS A52264 1785 16 mean mean NN A52264 1785 17 longitude longitude NN A52264 1785 18 , , , A52264 1785 19 their -PRON- PRP$ A52264 1785 20 aggregate aggregate NN A52264 1785 21 is be VBZ A52264 1785 22 the the DT A52264 1785 23 Suns Suns NNP A52264 1785 24 place place NN A52264 1785 25 required require VBN A52264 1785 26 . . . A52264 1786 1 Example example NN A52264 1786 2 . . . A52264 1787 1 The the DT A52264 1787 2 Suns Suns NNPS A52264 1787 3 mean mean VBP A52264 1787 4 longitude longitude NN A52264 1787 5 62.1643 62.1643 CD A52264 1787 6 Equation Equation NNP A52264 1787 7 corrected correct VBD A52264 1787 8 Add Add NNP A52264 1787 9 1.1313 1.1313 CD A52264 1787 10 The the DT A52264 1787 11 Suns Suns NNPS A52264 1787 12 true true JJ A52264 1787 13 place place NN A52264 1787 14 or or CC A52264 1787 15 Longitude longitude NN A52264 1787 16 63.2956 63.2956 CD A52264 1787 17 That that RB A52264 1787 18 is is RB A52264 1787 19 , , , A52264 1787 20 2 2 CD A52264 1787 21 Signes Signes NNPS A52264 1787 22 , , , A52264 1787 23 3 3 CD A52264 1787 24 degrees degree NNS A52264 1787 25 , , , A52264 1787 26 29 29 CD A52264 1787 27 minutes minute NNS A52264 1787 28 , , , A52264 1787 29 56 56 CD A52264 1787 30 parts part NNS A52264 1787 31 . . . A52264 1788 1 The the DT A52264 1788 2 Suns Suns NNPS A52264 1788 3 Equation Equation NNP A52264 1788 4 in in IN A52264 1788 5 this this DT A52264 1788 6 example example NN A52264 1788 7 corrected correct VBN A52264 1788 8 by by IN A52264 1788 9 Multiplication Multiplication NNP A52264 1788 10 and and CC A52264 1788 11 Division Division NNP A52264 1788 12 may may MD A52264 1788 13 more more RBR A52264 1788 14 readily readily RB A52264 1788 15 be be VB A52264 1788 16 performed perform VBN A52264 1788 17 by by IN A52264 1788 18 Addition Addition NNP A52264 1788 19 and and CC A52264 1788 20 Substraction Substraction NNP A52264 1788 21 with with IN A52264 1788 22 the the DT A52264 1788 23 help help NN A52264 1788 24 of of IN A52264 1788 25 the the DT A52264 1788 26 Table table NN A52264 1788 27 of of IN A52264 1788 28 Logarithmes logarithme NNS A52264 1788 29 : : : A52264 1788 30 for for IN A52264 1788 31 , , , A52264 1788 32 As as IN A52264 1788 33 one one CD A52264 1788 34 degree degree NN A52264 1788 35 , , , A52264 1788 36 or or CC A52264 1788 37 10000 10000 CD A52264 1788 38 , , , A52264 1788 39 4.000000 4.000000 CD A52264 1788 40         _SP A52264 1788 41 Is be VBZ A52264 1788 42 to to IN A52264 1788 43 289 289 CD A52264 1788 44 ; ; : A52264 1788 45 2.460898 2.460898 CD A52264 1788 46 So so RB A52264 1788 47 is be VBZ A52264 1788 48 7335 7335 CD A52264 1788 49 , , , A52264 1788 50 3.865400 3.865400 CD A52264 1788 51         _SP A52264 1788 52 To to IN A52264 1788 53 212 212 CD A52264 1788 54 fere fere NN A52264 1788 55 2.326298 2.326298 CD A52264 1788 56 The the DT A52264 1788 57 Suns Suns NNPS A52264 1788 58 mean mean NN A52264 1788 59 Motions motion NNS A52264 1788 60 . . . A52264 1789 1 Epochae Epochae NNP A52264 1789 2 Longitud Longitud NNP A52264 1789 3 ☉ ☉ NNP A52264 1789 4 Aphelium Aphelium NNP A52264 1789 5 ☉ ☉ NNP A52264 1789 6     _SP A52264 1789 7 ° ° , A52264 1789 8 ′ ′ -RRB- A52264 1789 9 ″ ″ NN A52264 1789 10 ° ° , A52264 1789 11 ′ ′ -RRB- A52264 1789 12 ″ ″ NN A52264 1789 13 Per per IN A52264 1789 14 . . . A52264 1790 1 Jul. July NNP A52264 1791 1 242 242 CD A52264 1791 2 99 99 CD A52264 1791 3 61 61 CD A52264 1791 4 355 355 CD A52264 1791 5 85 85 CD A52264 1791 6 44 44 CD A52264 1791 7 M m CD A52264 1791 8 ● ● . A52264 1791 9 ● ● NFP A52264 1791 10 di di NNP A52264 1791 11 248 248 CD A52264 1791 12 71 71 CD A52264 1791 13 08 08 CD A52264 1791 14 007 007 CD A52264 1791 15 92 92 CD A52264 1791 16 42 42 CD A52264 1791 17 Christi Christi NNP A52264 1791 18 278 278 CD A52264 1791 19 98 98 CD A52264 1791 20 69 69 CD A52264 1791 21 010 010 CD A52264 1791 22 31 31 CD A52264 1791 23 36 36 CD A52264 1791 24 An an NN A52264 1791 25 . . . A52264 1792 1 Do do VB A52264 1792 2 . . . A52264 1793 1 1600 1600 CD A52264 1793 2 290 290 CD A52264 1793 3 95 95 CD A52264 1793 4 44 44 CD A52264 1793 5 095 095 CD A52264 1793 6 58 58 CD A52264 1793 7 78 78 CD A52264 1793 8 An an NN A52264 1793 9 . . . A52264 1794 1 Do do VB A52264 1794 2 . . . A52264 1795 1 1620 1620 CD A52264 1795 2 291 291 CD A52264 1795 3 10 10 CD A52264 1795 4 41 41 CD A52264 1795 5 095 095 CD A52264 1795 6 90 90 CD A52264 1795 7 39 39 CD A52264 1795 8 An an NN A52264 1795 9 . . . A52264 1796 1 Do do VB A52264 1796 2 . . . A52264 1797 1 1640 1640 CD A52264 1797 2 291 291 CD A52264 1797 3 25 25 CD A52264 1797 4 36 36 CD A52264 1797 5 096 096 CD A52264 1797 6 21 21 CD A52264 1797 7 97 97 CD A52264 1797 8 An an NN A52264 1797 9 . . . A52264 1798 1 Do do VB A52264 1798 2 . . . A52264 1799 1 1660 1660 CD A52264 1799 2 291 291 CD A52264 1799 3 40 40 CD A52264 1799 4 33 33 CD A52264 1799 5 096 096 CD A52264 1799 6 53 53 CD A52264 1799 7 56 56 CD A52264 1799 8 1 1 CD A52264 1799 9 356 356 CD A52264 1799 10 76 76 CD A52264 1799 11 11 11 CD A52264 1799 12 0 0 CD A52264 1799 13 01 01 CD A52264 1799 14 58 58 CD A52264 1799 15 2 2 CD A52264 1799 16 359 359 CD A52264 1799 17 52 52 CD A52264 1799 18 22 22 CD A52264 1799 19 0 0 CD A52264 1799 20 18 18 CD A52264 1799 21 17 17 CD A52264 1799 22 3 3 CD A52264 1799 23 359 359 CD A52264 1799 24 28 28 CD A52264 1799 25 30 30 CD A52264 1799 26 0 0 CD A52264 1799 27 04 04 CD A52264 1799 28 74 74 CD A52264 1799 29 B b NN A52264 1799 30 4 4 CD A52264 1799 31 000 000 CD A52264 1799 32 03 03 CD A52264 1799 33 00 00 CD A52264 1799 34 0 0 CD A52264 1799 35 06 06 CD A52264 1799 36 30 30 CD A52264 1799 37 5 5 CD A52264 1799 38 359 359 CD A52264 1799 39 79 79 CD A52264 1799 40 11 11 CD A52264 1799 41 0 0 CD A52264 1799 42 07 07 CD A52264 1799 43 89 89 CD A52264 1799 44 6 6 CD A52264 1799 45 359 359 CD A52264 1799 46 55 55 CD A52264 1799 47 19 19 CD A52264 1799 48 0 0 CD A52264 1799 49 09 09 CD A52264 1799 50 47 47 CD A52264 1799 51 7 7 CD A52264 1799 52 359 359 CD A52264 1799 53 31 31 CD A52264 1799 54 30 30 CD A52264 1799 55 0 0 CD A52264 1799 56 11 11 CD A52264 1799 57 05 05 CD A52264 1799 58 B b NN A52264 1799 59 8 8 CD A52264 1799 60 000 000 CD A52264 1799 61 05 05 CD A52264 1799 62 97 97 CD A52264 1799 63 0 0 CD A52264 1799 64 12 12 CD A52264 1799 65 64 64 CD A52264 1799 66 9 9 CD A52264 1799 67 359 359 CD A52264 1799 68 82 82 CD A52264 1799 69 08 08 CD A52264 1799 70 0 0 CD A52264 1799 71 14 14 CD A52264 1799 72 22 22 CD A52264 1799 73 10 10 CD A52264 1799 74 359 359 CD A52264 1799 75 58 58 CD A52264 1799 76 19 19 CD A52264 1799 77 0 0 CD A52264 1799 78 15 15 CD A52264 1799 79 78 78 CD A52264 1799 80 11 11 CD A52264 1799 81 359 359 CD A52264 1799 82 34 34 CD A52264 1799 83 30 30 CD A52264 1799 84 0 0 CD A52264 1799 85 17 17 CD A52264 1799 86 36 36 CD A52264 1799 87 B b NN A52264 1799 88 12 12 CD A52264 1799 89 000 000 CD A52264 1799 90 08 08 CD A52264 1799 91 97 97 CD A52264 1799 92 0 0 CD A52264 1799 93 18 18 CD A52264 1799 94 94 94 CD A52264 1799 95 13 13 CD A52264 1799 96 359 359 CD A52264 1799 97 85 85 CD A52264 1799 98 08 08 CD A52264 1799 99 0 0 CD A52264 1799 100 20 20 CD A52264 1799 101 52 52 CD A52264 1799 102 14 14 CD A52264 1799 103 359 359 CD A52264 1799 104 00 00 CD A52264 1799 105 19 19 CD A52264 1799 106 0 0 CD A52264 1799 107 22 22 CD A52264 1799 108 11 11 CD A52264 1799 109 15 15 CD A52264 1799 110 359 359 CD A52264 1799 111 37 37 CD A52264 1799 112 30 30 CD A52264 1799 113 0 0 CD A52264 1799 114 23 23 CD A52264 1799 115 69 69 CD A52264 1799 116 B b NN A52264 1799 117 16 16 CD A52264 1799 118 000 000 CD A52264 1799 119 11 11 CD A52264 1799 120 97 97 CD A52264 1799 121 0 0 CD A52264 1799 122 25 25 CD A52264 1799 123 25 25 CD A52264 1799 124 17 17 CD A52264 1799 125 359 359 CD A52264 1799 126 88 88 CD A52264 1799 127 08 08 CD A52264 1799 128 0 0 CD A52264 1799 129 26 26 CD A52264 1799 130 83 83 CD A52264 1799 131 18 18 CD A52264 1799 132 359 359 CD A52264 1799 133 64 64 CD A52264 1799 134 19 19 CD A52264 1799 135 0 0 CD A52264 1799 136 28 28 CD A52264 1799 137 41 41 CD A52264 1799 138 19 19 CD A52264 1799 139 359 359 CD A52264 1799 140 40 40 CD A52264 1799 141 28 28 CD A52264 1799 142 0 0 CD A52264 1799 143 30 30 CD A52264 1799 144 00 00 CD A52264 1799 145 B b NN A52264 1799 146 20 20 CD A52264 1799 147 000 000 CD A52264 1799 148 14 14 CD A52264 1799 149 97 97 CD A52264 1799 150 0 0 CD A52264 1799 151 31 31 CD A52264 1799 152 61 61 CD A52264 1799 153 40 40 CD A52264 1799 154 000 000 CD A52264 1799 155 29 29 CD A52264 1799 156 91 91 CD A52264 1799 157 0 0 CD A52264 1799 158 63 63 CD A52264 1799 159 19 19 CD A52264 1799 160 60 60 CD A52264 1799 161 000 000 CD A52264 1799 162 44 44 CD A52264 1799 163 83 83 CD A52264 1799 164 0 0 CD A52264 1799 165 94 94 CD A52264 1799 166 77 77 CD A52264 1799 167 80 80 CD A52264 1799 168 000 000 CD A52264 1799 169 59 59 CD A52264 1799 170 83 83 CD A52264 1799 171 1 1 CD A52264 1799 172 26 26 CD A52264 1799 173 39 39 CD A52264 1799 174 100 100 CD A52264 1799 175 000 000 CD A52264 1799 176 74 74 CD A52264 1799 177 80 80 CD A52264 1799 178 1 1 CD A52264 1799 179 57 57 CD A52264 1799 180 97 97 CD A52264 1799 181 100 100 CD A52264 1799 182 00 00 CD A52264 1799 183 74 74 CD A52264 1799 184 80 80 CD A52264 1799 185 01 01 CD A52264 1799 186 57 57 CD A52264 1799 187 97 97 CD A52264 1799 188 200 200 CD A52264 1799 189 01 01 CD A52264 1799 190 49 49 CD A52264 1799 191 58 58 CD A52264 1799 192 03 03 CD A52264 1799 193 15 15 CD A52264 1799 194 94 94 CD A52264 1799 195 300 300 CD A52264 1799 196 02 02 CD A52264 1799 197 24 24 CD A52264 1799 198 39 39 CD A52264 1799 199 04 04 CD A52264 1799 200 73 73 CD A52264 1799 201 94 94 CD A52264 1799 202 400 400 CD A52264 1799 203 02 02 CD A52264 1799 204 99 99 CD A52264 1799 205 19 19 CD A52264 1799 206 06 06 CD A52264 1799 207 31 31 CD A52264 1799 208 94 94 CD A52264 1799 209 500 500 CD A52264 1799 210 03 03 CD A52264 1799 211 73 73 CD A52264 1799 212 97 97 CD A52264 1799 213 07 07 CD A52264 1799 214 89 89 CD A52264 1799 215 91 91 CD A52264 1799 216 600 600 CD A52264 1799 217 04 04 CD A52264 1799 218 48 48 CD A52264 1799 219 77 77 CD A52264 1799 220 09 09 CD A52264 1799 221 47 47 CD A52264 1799 222 92 92 CD A52264 1799 223 700 700 CD A52264 1799 224 05 05 CD A52264 1799 225 23 23 CD A52264 1799 226 58 58 CD A52264 1799 227 11 11 CD A52264 1799 228 05 05 CD A52264 1799 229 89 89 CD A52264 1799 230 800 800 CD A52264 1799 231 05 05 CD A52264 1799 232 98 98 CD A52264 1799 233 36 36 CD A52264 1799 234 12 12 CD A52264 1799 235 63 63 CD A52264 1799 236 89 89 CD A52264 1799 237 900 900 CD A52264 1799 238 06 06 CD A52264 1799 239 73 73 CD A52264 1799 240 17 17 CD A52264 1799 241 14 14 CD A52264 1799 242 21 21 CD A52264 1799 243 86 86 CD A52264 1799 244 1000 1000 CD A52264 1799 245 07 07 CD A52264 1799 246 47 47 CD A52264 1799 247 97 97 CD A52264 1799 248 15 15 CD A52264 1799 249 79 79 CD A52264 1799 250 86 86 CD A52264 1799 251 2000 2000 CD A52264 1799 252 14 14 CD A52264 1799 253 95 95 CD A52264 1799 254 92 92 CD A52264 1799 255 31 31 CD A52264 1799 256 59 59 CD A52264 1799 257 69 69 CD A52264 1799 258 3000 3000 CD A52264 1799 259 22 22 CD A52264 1799 260 43 43 CD A52264 1799 261 89 89 CD A52264 1799 262 47 47 CD A52264 1799 263 39 39 CD A52264 1799 264 55 55 CD A52264 1799 265 4000 4000 CD A52264 1799 266 29 29 CD A52264 1799 267 91 91 CD A52264 1799 268 82 82 CD A52264 1799 269 63 63 CD A52264 1799 270 19 19 CD A52264 1799 271 41 41 CD A52264 1799 272 5000 5000 CD A52264 1799 273 37 37 CD A52264 1799 274 39 39 CD A52264 1799 275 80 80 CD A52264 1799 276 78 78 CD A52264 1799 277 99 99 CD A52264 1799 278 25 25 CD A52264 1799 279                             _SP A52264 1799 280 January January NNP A52264 1799 281 030 030 CD A52264 1799 282 55 55 CD A52264 1799 283 50 50 CD A52264 1799 284 0 0 CD A52264 1799 285 00 00 CD A52264 1799 286 14 14 CD A52264 1799 287 February February NNP A52264 1799 288 058 058 CD A52264 1799 289 15 15 CD A52264 1799 290 30 30 CD A52264 1799 291 0 0 CD A52264 1799 292 00 00 CD A52264 1799 293 25 25 CD A52264 1799 294 March March NNP A52264 1799 295 088 088 CD A52264 1799 296 70 70 CD A52264 1799 297 83 83 CD A52264 1799 298 0 0 CD A52264 1799 299 00 00 CD A52264 1799 300 39 39 CD A52264 1799 301 April April NNP A52264 1799 302 118 118 CD A52264 1799 303 27 27 CD A52264 1799 304 75 75 CD A52264 1799 305 0 0 CD A52264 1799 306 00 00 CD A52264 1799 307 53 53 CD A52264 1799 308 May May NNP A52264 1799 309 148 148 CD A52264 1799 310 83 83 CD A52264 1799 311 28 28 CD A52264 1799 312 0 0 CD A52264 1799 313 00 00 CD A52264 1799 314 67 67 CD A52264 1799 315 June June NNP A52264 1799 316 178 178 CD A52264 1799 317 40 40 CD A52264 1799 318 19 19 CD A52264 1799 319 0 0 CD A52264 1799 320 00 00 CD A52264 1799 321 80 80 CD A52264 1799 322 July July NNP A52264 1799 323 208 208 CD A52264 1799 324 95 95 CD A52264 1799 325 69 69 CD A52264 1799 326 0 0 CD A52264 1799 327 00 00 CD A52264 1799 328 94 94 CD A52264 1799 329 August August NNP A52264 1799 330 239 239 CD A52264 1799 331 51 51 CD A52264 1799 332 22 22 CD A52264 1799 333 0 0 CD A52264 1799 334 01 01 CD A52264 1799 335 06 06 CD A52264 1799 336 September September NNP A52264 1799 337 269 269 CD A52264 1799 338 08 08 CD A52264 1799 339 17 17 CD A52264 1799 340 0 0 CD A52264 1799 341 01 01 CD A52264 1799 342 19 19 CD A52264 1799 343 October October NNP A52264 1799 344 299 299 CD A52264 1799 345 63 63 CD A52264 1799 346 66 66 CD A52264 1799 347 0 0 CD A52264 1799 348 01 01 CD A52264 1799 349 33 33 CD A52264 1799 350 November November NNP A52264 1799 351 329 329 CD A52264 1799 352 20 20 CD A52264 1799 353 61 61 CD A52264 1799 354 0 0 CD A52264 1799 355 01 01 CD A52264 1799 356 44 44 CD A52264 1799 357 December December NNP A52264 1799 358 359 359 CD A52264 1799 359 76 76 CD A52264 1799 360 11 11 CD A52264 1799 361 0 0 CD A52264 1799 362 01 01 CD A52264 1799 363 58 58 CD A52264 1799 364 The the DT A52264 1799 365 Suns Suns NNPS A52264 1799 366 mean mean VBP A52264 1799 367 motions motion NNS A52264 1799 368 in in IN A52264 1799 369 Dayes Dayes NNP A52264 1799 370 . . . A52264 1800 1 Longit Longit NNP A52264 1800 2 . . . A52264 1801 1 ☉ ☉ NNP A52264 1801 2 Aphel Aphel NNP A52264 1801 3 . . . A52264 1802 1 D D NNP A52264 1802 2 ° ° , A52264 1802 3 ′ ′ CD A52264 1802 4 ″ ″ NN A52264 1802 5 ′ ′ -RRB- A52264 1802 6 ″ ″ NN A52264 1802 7 1 1 CD A52264 1802 8 0 0 CD A52264 1802 9 98 98 CD A52264 1802 10 55 55 CD A52264 1802 11 0 0 CD A52264 1802 12 00 00 CD A52264 1802 13 2 2 CD A52264 1802 14 1 1 CD A52264 1802 15 97 97 CD A52264 1802 16 14 14 CD A52264 1802 17 0 0 CD A52264 1802 18 00 00 CD A52264 1802 19 3 3 CD A52264 1802 20 2 2 CD A52264 1802 21 95 95 CD A52264 1802 22 69 69 CD A52264 1802 23 0 0 CD A52264 1802 24 00 00 CD A52264 1802 25 4 4 CD A52264 1802 26 3 3 CD A52264 1802 27 94 94 CD A52264 1802 28 25 25 CD A52264 1802 29 0 0 CD A52264 1802 30 02 02 CD A52264 1802 31 5 5 CD A52264 1802 32 4 4 CD A52264 1802 33 92 92 CD A52264 1802 34 83 83 CD A52264 1802 35 0 0 CD A52264 1802 36 02 02 CD A52264 1802 37 6 6 CD A52264 1802 38 5 5 CD A52264 1802 39 91 91 CD A52264 1802 40 39 39 CD A52264 1802 41 0 0 CD A52264 1802 42 03 03 CD A52264 1802 43 7 7 CD A52264 1802 44 6 6 CD A52264 1802 45 89 89 CD A52264 1802 46 94 94 CD A52264 1802 47 0 0 CD A52264 1802 48 03 03 CD A52264 1802 49 8 8 CD A52264 1802 50 7 7 CD A52264 1802 51 88 88 CD A52264 1802 52 52 52 CD A52264 1802 53 0 0 CD A52264 1802 54 03 03 CD A52264 1802 55 9 9 CD A52264 1802 56 8 8 CD A52264 1802 57 87 87 CD A52264 1802 58 08 08 CD A52264 1802 59 0 0 CD A52264 1802 60 05 05 CD A52264 1802 61 10 10 CD A52264 1802 62 9 9 CD A52264 1802 63 85 85 CD A52264 1802 64 63 63 CD A52264 1802 65 0 0 CD A52264 1802 66 05 05 CD A52264 1802 67 11 11 CD A52264 1802 68 10 10 CD A52264 1802 69 84 84 CD A52264 1802 70 22 22 CD A52264 1802 71 0 0 CD A52264 1802 72 05 05 CD A52264 1802 73 12 12 CD A52264 1802 74 11 11 CD A52264 1802 75 82 82 CD A52264 1802 76 78 78 CD A52264 1802 77 0 0 CD A52264 1802 78 06 06 CD A52264 1802 79 13 13 CD A52264 1802 80 12 12 CD A52264 1802 81 81 81 CD A52264 1802 82 33 33 CD A52264 1802 83 0 0 CD A52264 1802 84 06 06 CD A52264 1802 85 14 14 CD A52264 1802 86 13 13 CD A52264 1802 87 79 79 CD A52264 1802 88 91 91 CD A52264 1802 89 0 0 CD A52264 1802 90 06 06 CD A52264 1802 91 15 15 CD A52264 1802 92 14 14 CD A52264 1802 93 78 78 CD A52264 1802 94 47 47 CD A52264 1802 95 0 0 CD A52264 1802 96 06 06 CD A52264 1802 97 16 16 CD A52264 1802 98 15 15 CD A52264 1802 99 77 77 CD A52264 1802 100 03 03 CD A52264 1802 101 0 0 CD A52264 1802 102 08 08 CD A52264 1802 103 17 17 CD A52264 1802 104 16 16 CD A52264 1802 105 75 75 CD A52264 1802 106 61 61 CD A52264 1802 107 0 0 CD A52264 1802 108 08 08 CD A52264 1802 109 18 18 CD A52264 1802 110 17 17 CD A52264 1802 111 74 74 CD A52264 1802 112 16 16 CD A52264 1802 113 0 0 CD A52264 1802 114 08 08 CD A52264 1802 115 19 19 CD A52264 1802 116 18 18 CD A52264 1802 117 72 72 CD A52264 1802 118 72 72 CD A52264 1802 119 0 0 CD A52264 1802 120 08 08 CD A52264 1802 121 20 20 CD A52264 1802 122 19 19 CD A52264 1802 123 71 71 CD A52264 1802 124 30 30 CD A52264 1802 125 0 0 CD A52264 1802 126 08 08 CD A52264 1802 127 21 21 CD A52264 1802 128 20 20 CD A52264 1802 129 69 69 CD A52264 1802 130 86 86 CD A52264 1802 131 0 0 CD A52264 1802 132 08 08 CD A52264 1802 133 22 22 CD A52264 1802 134 21 21 CD A52264 1802 135 68 68 CD A52264 1802 136 41 41 CD A52264 1802 137 0 0 CD A52264 1802 138 11 11 CD A52264 1802 139 23 23 CD A52264 1802 140 22 22 CD A52264 1802 141 67 67 CD A52264 1802 142 00 00 CD A52264 1802 143 0 0 CD A52264 1802 144 11 11 CD A52264 1802 145 24 24 CD A52264 1802 146 23 23 CD A52264 1802 147 65 65 CD A52264 1802 148 56 56 CD A52264 1802 149 0 0 CD A52264 1802 150 11 11 CD A52264 1802 151 25 25 CD A52264 1802 152 24 24 CD A52264 1802 153 64 64 CD A52264 1802 154 11 11 CD A52264 1802 155 0 0 CD A52264 1802 156 11 11 CD A52264 1802 157 26 26 CD A52264 1802 158 25 25 CD A52264 1802 159 62 62 CD A52264 1802 160 94 94 CD A52264 1802 161 0 0 CD A52264 1802 162 11 11 CD A52264 1802 163 27 27 CD A52264 1802 164 26 26 CD A52264 1802 165 61 61 CD A52264 1802 166 25 25 CD A52264 1802 167 0 0 CD A52264 1802 168 11 11 CD A52264 1802 169 28 28 CD A52264 1802 170 27 27 CD A52264 1802 171 59 59 CD A52264 1802 172 80 80 CD A52264 1802 173 0 0 CD A52264 1802 174 11 11 CD A52264 1802 175 29 29 CD A52264 1802 176 28 28 CD A52264 1802 177 58 58 CD A52264 1802 178 36 36 CD A52264 1802 179 0 0 CD A52264 1802 180 13 13 CD A52264 1802 181 30 30 CD A52264 1802 182 29 29 CD A52264 1802 183 56 56 CD A52264 1802 184 94 94 CD A52264 1802 185 0 0 CD A52264 1802 186 14 14 CD A52264 1802 187 31 31 CD A52264 1802 188 30 30 CD A52264 1802 189 55 55 CD A52264 1802 190 50 50 CD A52264 1802 191 0 0 CD A52264 1802 192 14 14 CD A52264 1802 193 32 32 CD A52264 1802 194 31 31 CD A52264 1802 195 54 54 CD A52264 1802 196 05 05 CD A52264 1802 197 0 0 CD A52264 1802 198 14 14 CD A52264 1802 199     _SP A52264 1802 200 Longit Longit NNP A52264 1802 201 . . . A52264 1803 1 ☉ ☉ NNP A52264 1803 2     _SP A52264 1803 3 Long Long NNP A52264 1803 4 . . . A52264 1804 1 Long long RB A52264 1804 2 . . . A52264 1805 1 H h NN A52264 1805 2 ° ° , A52264 1805 3 ′ ′ ADD A52264 1805 4 ″ ″ NN A52264 1805 5 M m NN A52264 1805 6 ′ ′ ADD A52264 1805 7 ″ ″ NN A52264 1805 8 M m NN A52264 1805 9 ′ ′ ADD A52264 1805 10 ″ ″ NN A52264 1805 11 1 1 CD A52264 1805 12 0 0 CD A52264 1805 13 04 04 CD A52264 1805 14 11 11 CD A52264 1805 15 34 34 CD A52264 1805 16 1 1 CD A52264 1805 17 39 39 CD A52264 1805 18 67 67 CD A52264 1805 19 2 2 CD A52264 1805 20 75 75 CD A52264 1805 21 2 2 CD A52264 1805 22 0 0 CD A52264 1805 23 08 08 CD A52264 1805 24 22 22 CD A52264 1805 25 35 35 CD A52264 1805 26 1 1 CD A52264 1805 27 43 43 CD A52264 1805 28 68 68 CD A52264 1805 29 2 2 CD A52264 1805 30 79 79 CD A52264 1805 31 3 3 CD A52264 1805 32 0 0 CD A52264 1805 33 12 12 CD A52264 1805 34 31 31 CD A52264 1805 35 36 36 CD A52264 1805 36 1 1 CD A52264 1805 37 47 47 CD A52264 1805 38 69 69 CD A52264 1805 39 2 2 CD A52264 1805 40 83 83 CD A52264 1805 41 4 4 CD A52264 1805 42 0 0 CD A52264 1805 43 16 16 CD A52264 1805 44 42 42 CD A52264 1805 45 37 37 CD A52264 1805 46 1 1 CD A52264 1805 47 51 51 CD A52264 1805 48 70 70 CD A52264 1805 49 2 2 CD A52264 1805 50 87 87 CD A52264 1805 51 5 5 CD A52264 1805 52 0 0 CD A52264 1805 53 20 20 CD A52264 1805 54 52 52 CD A52264 1805 55 38 38 CD A52264 1805 56 1 1 CD A52264 1805 57 56 56 CD A52264 1805 58 71 71 CD A52264 1805 59 2 2 CD A52264 1805 60 91 91 CD A52264 1805 61 6 6 CD A52264 1805 62 0 0 CD A52264 1805 63 24 24 CD A52264 1805 64 63 63 CD A52264 1805 65 39 39 CD A52264 1805 66 1 1 CD A52264 1805 67 60 60 CD A52264 1805 68 72 72 CD A52264 1805 69 2 2 CD A52264 1805 70 96 96 CD A52264 1805 71 7 7 CD A52264 1805 72 0 0 CD A52264 1805 73 28 28 CD A52264 1805 74 75 75 CD A52264 1805 75 40 40 CD A52264 1805 76 1 1 CD A52264 1805 77 64 64 CD A52264 1805 78 73 73 CD A52264 1805 79 3 3 CD A52264 1805 80 00 00 CD A52264 1805 81 8 8 CD A52264 1805 82 0 0 CD A52264 1805 83 32 32 CD A52264 1805 84 86 86 CD A52264 1805 85 41 41 CD A52264 1805 86 1 1 CD A52264 1805 87 68 68 CD A52264 1805 88 74 74 CD A52264 1805 89 3 3 CD A52264 1805 90 04 04 CD A52264 1805 91 9 9 CD A52264 1805 92 0 0 CD A52264 1805 93 36 36 CD A52264 1805 94 97 97 CD A52264 1805 95 42 42 CD A52264 1805 96 1 1 CD A52264 1805 97 72 72 CD A52264 1805 98 75 75 CD A52264 1805 99 3 3 CD A52264 1805 100 08 08 CD A52264 1805 101 10 10 CD A52264 1805 102 0 0 CD A52264 1805 103 41 41 CD A52264 1805 104 06 06 CD A52264 1805 105 43 43 CD A52264 1805 106 1 1 CD A52264 1805 107 76 76 CD A52264 1805 108 76 76 CD A52264 1805 109 3 3 CD A52264 1805 110 12 12 CD A52264 1805 111 11 11 CD A52264 1805 112 0 0 CD A52264 1805 113 45 45 CD A52264 1805 114 17 17 CD A52264 1805 115 44 44 CD A52264 1805 116 1 1 CD A52264 1805 117 80 80 CD A52264 1805 118 77 77 CD A52264 1805 119 3 3 CD A52264 1805 120 16 16 CD A52264 1805 121 12 12 CD A52264 1805 122 0 0 CD A52264 1805 123 49 49 CD A52264 1805 124 27 27 CD A52264 1805 125 45 45 CD A52264 1805 126 1 1 CD A52264 1805 127 84 84 CD A52264 1805 128 78 78 CD A52264 1805 129 3 3 CD A52264 1805 130 20 20 CD A52264 1805 131 13 13 CD A52264 1805 132 0 0 CD A52264 1805 133 53 53 CD A52264 1805 134 39 39 CD A52264 1805 135 46 46 CD A52264 1805 136 1 1 CD A52264 1805 137 88 88 CD A52264 1805 138 79 79 CD A52264 1805 139 3 3 CD A52264 1805 140 24 24 CD A52264 1805 141 14 14 CD A52264 1805 142 0 0 CD A52264 1805 143 52 52 CD A52264 1805 144 50 50 CD A52264 1805 145 47 47 CD A52264 1805 146 1 1 CD A52264 1805 147 93 93 CD A52264 1805 148 80 80 CD A52264 1805 149 3 3 CD A52264 1805 150 28 28 CD A52264 1805 151 15 15 CD A52264 1805 152 0 0 CD A52264 1805 153 61 61 CD A52264 1805 154 61 61 CD A52264 1805 155 48 48 CD A52264 1805 156 1 1 CD A52264 1805 157 97 97 CD A52264 1805 158 81 81 CD A52264 1805 159 3 3 CD A52264 1805 160 32 32 CD A52264 1805 161 16 16 CD A52264 1805 162 0 0 CD A52264 1805 163 65 65 CD A52264 1805 164 72 72 CD A52264 1805 165 49 49 CD A52264 1805 166 2 2 CD A52264 1805 167 01 01 CD A52264 1805 168 82 82 CD A52264 1805 169 3 3 CD A52264 1805 170 37 37 CD A52264 1805 171 17 17 CD A52264 1805 172 0 0 CD A52264 1805 173 69 69 CD A52264 1805 174 80 80 CD A52264 1805 175 50 50 CD A52264 1805 176 2 2 CD A52264 1805 177 05 05 CD A52264 1805 178 83 83 CD A52264 1805 179 3 3 CD A52264 1805 180 41 41 CD A52264 1805 181 18 18 CD A52264 1805 182 0 0 CD A52264 1805 183 73 73 CD A52264 1805 184 91 91 CD A52264 1805 185 51 51 CD A52264 1805 186 2 2 CD A52264 1805 187 09 09 CD A52264 1805 188 84 84 CD A52264 1805 189 3 3 CD A52264 1805 190 45 45 CD A52264 1805 191 19 19 CD A52264 1805 192 0 0 CD A52264 1805 193 78 78 CD A52264 1805 194 03 03 CD A52264 1805 195 52 52 CD A52264 1805 196 2 2 CD A52264 1805 197 13 13 CD A52264 1805 198 85 85 CD A52264 1805 199 3 3 CD A52264 1805 200 49 49 CD A52264 1805 201 20 20 CD A52264 1805 202 0 0 CD A52264 1805 203 82 82 CD A52264 1805 204 14 14 CD A52264 1805 205 53 53 CD A52264 1805 206 2 2 CD A52264 1805 207 17 17 CD A52264 1805 208 86 86 CD A52264 1805 209 3 3 CD A52264 1805 210 53 53 CD A52264 1805 211 21 21 CD A52264 1805 212 0 0 CD A52264 1805 213 86 86 CD A52264 1805 214 25 25 CD A52264 1805 215 54 54 CD A52264 1805 216 2 2 CD A52264 1805 217 21 21 CD A52264 1805 218 87 87 CD A52264 1805 219 3 3 CD A52264 1805 220 57 57 CD A52264 1805 221 22 22 CD A52264 1805 222 0 0 CD A52264 1805 223 90 90 CD A52264 1805 224 36 36 CD A52264 1805 225 55 55 CD A52264 1805 226 2 2 CD A52264 1805 227 25 25 CD A52264 1805 228 88 88 CD A52264 1805 229 3 3 CD A52264 1805 230 61 61 CD A52264 1805 231 23 23 CD A52264 1805 232 0 0 CD A52264 1805 233 94 94 CD A52264 1805 234 44 44 CD A52264 1805 235 56 56 CD A52264 1805 236 2 2 CD A52264 1805 237 30 30 CD A52264 1805 238 89 89 CD A52264 1805 239 3 3 CD A52264 1805 240 65 65 CD A52264 1805 241 24 24 CD A52264 1805 242 0 0 CD A52264 1805 243 98 98 CD A52264 1805 244 55 55 CD A52264 1805 245 57 57 CD A52264 1805 246 2 2 CD A52264 1805 247 34 34 CD A52264 1805 248 90 90 CD A52264 1805 249 3 3 CD A52264 1805 250 69 69 CD A52264 1805 251 25 25 CD A52264 1805 252 1 1 CD A52264 1805 253 02 02 CD A52264 1805 254 66 66 CD A52264 1805 255 58 58 CD A52264 1805 256 2 2 CD A52264 1805 257 38 38 CD A52264 1805 258 91 91 CD A52264 1805 259 3 3 CD A52264 1805 260 74 74 CD A52264 1805 261 26 26 CD A52264 1805 262 1 1 CD A52264 1805 263 06 06 CD A52264 1805 264 77 77 CD A52264 1805 265 59 59 CD A52264 1805 266 2 2 CD A52264 1805 267 42 42 CD A52264 1805 268 92 92 CD A52264 1805 269 3 3 CD A52264 1805 270 78 78 CD A52264 1805 271 27 27 CD A52264 1805 272 1 1 CD A52264 1805 273 10 10 CD A52264 1805 274 88 88 CD A52264 1805 275 60 60 CD A52264 1805 276 2 2 CD A52264 1805 277 46 46 CD A52264 1805 278 93 93 CD A52264 1805 279 3 3 CD A52264 1805 280 82 82 CD A52264 1805 281 28 28 CD A52264 1805 282 1 1 CD A52264 1805 283 14 14 CD A52264 1805 284 99 99 CD A52264 1805 285 61 61 CD A52264 1805 286 2 2 CD A52264 1805 287 50 50 CD A52264 1805 288 94 94 CD A52264 1805 289 3 3 CD A52264 1805 290 86 86 CD A52264 1805 291 29 29 CD A52264 1805 292 1 1 CD A52264 1805 293 19 19 CD A52264 1805 294 10 10 CD A52264 1805 295 62 62 CD A52264 1805 296 2 2 CD A52264 1805 297 54 54 CD A52264 1805 298 95 95 CD A52264 1805 299 3 3 CD A52264 1805 300 90 90 CD A52264 1805 301 30 30 CD A52264 1805 302 1 1 CD A52264 1805 303 23 23 CD A52264 1805 304 21 21 CD A52264 1805 305 63 63 CD A52264 1805 306 2 2 CD A52264 1805 307 58 58 CD A52264 1805 308 96 96 CD A52264 1805 309 3 3 CD A52264 1805 310 94 94 CD A52264 1805 311 31 31 CD A52264 1805 312 1 1 CD A52264 1805 313 27 27 CD A52264 1805 314 32 32 CD A52264 1805 315 64 64 CD A52264 1805 316 2 2 CD A52264 1805 317 62 62 CD A52264 1805 318 97 97 CD A52264 1805 319 3 3 CD A52264 1805 320 98 98 CD A52264 1805 321 32 32 CD A52264 1805 322 1 1 CD A52264 1805 323 31 31 CD A52264 1805 324 43 43 CD A52264 1805 325 65 65 CD A52264 1805 326 2 2 CD A52264 1805 327 67 67 CD A52264 1805 328 98 98 CD A52264 1805 329 4 4 CD A52264 1805 330 02 02 CD A52264 1805 331 33 33 CD A52264 1805 332 1 1 CD A52264 1805 333 35 35 CD A52264 1805 334 54 54 CD A52264 1805 335 66 66 CD A52264 1805 336 2 2 CD A52264 1805 337 71 71 CD A52264 1805 338 99 99 CD A52264 1805 339 4 4 CD A52264 1805 340 06 06 CD A52264 1805 341 ′ ′ CD A52264 1805 342 ′ ′ ADD A52264 1805 343 ″ ″ NN A52264 1805 344 ‴ ‴ NNP A52264 1805 345 ′ ′ ADD A52264 1805 346 ′ ′ ADD A52264 1805 347 ″ ″ NN A52264 1805 348 100 100 CD A52264 1805 349 4 4 CD A52264 1805 350 11 11 CD A52264 1805 351 ″ ″ NN A52264 1805 352 ″ ″ NNP A52264 1805 353 ‴ ‴ NNP A52264 1805 354 ' ' `` A52264 1805 355 ' ' `` A52264 1805 356 ' ' '' A52264 1805 357 ' ' '' A52264 1805 358 ″ ″ NNP A52264 1805 359 ″ ″ NNP A52264 1805 360 ‴ ‴ NNP A52264 1805 361 ″ ″ NNP A52264 1805 362 ″ ″ NN A52264 1805 363 ‴ ‴ NNP A52264 1805 364 The the DT A52264 1805 365 Equations Equations NNPS A52264 1805 366 of of IN A52264 1805 367 the the DT A52264 1805 368 Suns Suns NNPS A52264 1805 369 Eccentrick Eccentrick NNP A52264 1805 370 . . . A52264 1806 1 Aeq aeq UH A52264 1806 2 . . . A52264 1807 1 sub sub VB A52264 1807 2         _SP A52264 1807 3 ° ° , A52264 1807 4 ′ ′ -RRB- A52264 1807 5 ″ ″ NN A52264 1807 6     _SP A52264 1807 7 0 0 CD A52264 1807 8 0 0 CD A52264 1807 9 00 00 CD A52264 1807 10 00 00 CD A52264 1807 11 360 360 CD A52264 1807 12 1 1 CD A52264 1807 13 0 0 CD A52264 1807 14 03 03 CD A52264 1807 15 52 52 CD A52264 1807 16 359 359 CD A52264 1807 17 2 2 CD A52264 1807 18 0 0 CD A52264 1807 19 07 07 CD A52264 1807 20 03 03 CD A52264 1807 21 358 358 CD A52264 1807 22 3 3 CD A52264 1807 23 0 0 CD A52264 1807 24 10 10 CD A52264 1807 25 56 56 CD A52264 1807 26 357 357 CD A52264 1807 27 4 4 CD A52264 1807 28 0 0 CD A52264 1807 29 14 14 CD A52264 1807 30 05 05 CD A52264 1807 31 356 356 CD A52264 1807 32 5 5 CD A52264 1807 33 0 0 CD A52264 1807 34 17 17 CD A52264 1807 35 53 53 CD A52264 1807 36 355 355 CD A52264 1807 37 6 6 CD A52264 1807 38 0 0 CD A52264 1807 39 21 21 CD A52264 1807 40 00 00 CD A52264 1807 41 354 354 CD A52264 1807 42 7 7 CD A52264 1807 43 0 0 CD A52264 1807 44 24 24 CD A52264 1807 45 44 44 CD A52264 1807 46 353 353 CD A52264 1807 47 8 8 CD A52264 1807 48 0 0 CD A52264 1807 49 27 27 CD A52264 1807 50 89 89 CD A52264 1807 51 352 352 CD A52264 1807 52 9 9 CD A52264 1807 53 0 0 CD A52264 1807 54 31 31 CD A52264 1807 55 30 30 CD A52264 1807 56 351 351 CD A52264 1807 57 10 10 CD A52264 1807 58 0 0 CD A52264 1807 59 34 34 CD A52264 1807 60 72 72 CD A52264 1807 61 350 350 CD A52264 1807 62 11 11 CD A52264 1807 63 0 0 CD A52264 1807 64 38 38 CD A52264 1807 65 17 17 CD A52264 1807 66 349 349 CD A52264 1807 67 12 12 CD A52264 1807 68 0 0 CD A52264 1807 69 41 41 CD A52264 1807 70 56 56 CD A52264 1807 71 348 348 CD A52264 1807 72 13 13 CD A52264 1807 73 0 0 CD A52264 1807 74 44 44 CD A52264 1807 75 94 94 CD A52264 1807 76 347 347 CD A52264 1807 77 14 14 CD A52264 1807 78 0 0 CD A52264 1807 79 48 48 CD A52264 1807 80 30 30 CD A52264 1807 81 346 346 CD A52264 1807 82 15 15 CD A52264 1807 83 0 0 CD A52264 1807 84 51 51 CD A52264 1807 85 67 67 CD A52264 1807 86 345 345 CD A52264 1807 87 16 16 CD A52264 1807 88 0 0 CD A52264 1807 89 55 55 CD A52264 1807 90 03 03 CD A52264 1807 91 344 344 CD A52264 1807 92 17 17 CD A52264 1807 93 0 0 CD A52264 1807 94 58 58 CD A52264 1807 95 36 36 CD A52264 1807 96 343 343 CD A52264 1807 97 18 18 CD A52264 1807 98 0 0 CD A52264 1807 99 61 61 CD A52264 1807 100 67 67 CD A52264 1807 101 342 342 CD A52264 1807 102 19 19 CD A52264 1807 103 0 0 CD A52264 1807 104 64 64 CD A52264 1807 105 97 97 CD A52264 1807 106 341 341 CD A52264 1807 107 20 20 CD A52264 1807 108 0 0 CD A52264 1807 109 68 68 CD A52264 1807 110 24 24 CD A52264 1807 111 340 340 CD A52264 1807 112 21 21 CD A52264 1807 113 0 0 CD A52264 1807 114 71 71 CD A52264 1807 115 53 53 CD A52264 1807 116 339 339 CD A52264 1807 117 22 22 CD A52264 1807 118 0 0 CD A52264 1807 119 74 74 CD A52264 1807 120 78 78 CD A52264 1807 121 338 338 CD A52264 1807 122 23 23 CD A52264 1807 123 0 0 CD A52264 1807 124 78 78 CD A52264 1807 125 03 03 CD A52264 1807 126 337 337 CD A52264 1807 127 24 24 CD A52264 1807 128 0 0 CD A52264 1807 129 81 81 CD A52264 1807 130 22 22 CD A52264 1807 131 336 336 CD A52264 1807 132 25 25 CD A52264 1807 133 0 0 CD A52264 1807 134 84 84 CD A52264 1807 135 41 41 CD A52264 1807 136 335 335 CD A52264 1807 137 26 26 CD A52264 1807 138 0 0 CD A52264 1807 139 87 87 CD A52264 1807 140 56 56 CD A52264 1807 141 334 334 CD A52264 1807 142 27 27 CD A52264 1807 143 0 0 CD A52264 1807 144 90 90 CD A52264 1807 145 69 69 CD A52264 1807 146 333 333 CD A52264 1807 147 28 28 CD A52264 1807 148 0 0 CD A52264 1807 149 94 94 CD A52264 1807 150 26 26 CD A52264 1807 151 332 332 CD A52264 1807 152 29 29 CD A52264 1807 153 0 0 CD A52264 1807 154 97 97 CD A52264 1807 155 30 30 CD A52264 1807 156 331 331 CD A52264 1807 157 30 30 CD A52264 1807 158 1 1 CD A52264 1807 159 00 00 CD A52264 1807 160 19 19 CD A52264 1807 161 330 330 CD A52264 1807 162 31 31 CD A52264 1807 163 1 1 CD A52264 1807 164 03 03 CD A52264 1807 165 33 33 CD A52264 1807 166 329 329 CD A52264 1807 167 32 32 CD A52264 1807 168 1 1 CD A52264 1807 169 06 06 CD A52264 1807 170 41 41 CD A52264 1807 171 328 328 CD A52264 1807 172 33 33 CD A52264 1807 173 1 1 CD A52264 1807 174 09 09 CD A52264 1807 175 41 41 CD A52264 1807 176 327 327 CD A52264 1807 177 34 34 CD A52264 1807 178 1 1 CD A52264 1807 179 12 12 CD A52264 1807 180 36 36 CD A52264 1807 181 326 326 CD A52264 1807 182 35 35 CD A52264 1807 183 1 1 CD A52264 1807 184 15 15 CD A52264 1807 185 25 25 CD A52264 1807 186 325 325 CD A52264 1807 187 36 36 CD A52264 1807 188 1 1 CD A52264 1807 189 18 18 CD A52264 1807 190 03 03 CD A52264 1807 191 324 324 CD A52264 1807 192 37 37 CD A52264 1807 193 1 1 CD A52264 1807 194 20 20 CD A52264 1807 195 78 78 CD A52264 1807 196 323 323 CD A52264 1807 197 38 38 CD A52264 1807 198 1 1 CD A52264 1807 199 23 23 CD A52264 1807 200 50 50 CD A52264 1807 201 322 322 CD A52264 1807 202 39 39 CD A52264 1807 203 1 1 CD A52264 1807 204 26 26 CD A52264 1807 205 22 22 CD A52264 1807 206 321 321 CD A52264 1807 207 40 40 CD A52264 1807 208 1 1 CD A52264 1807 209 28 28 CD A52264 1807 210 91 91 CD A52264 1807 211 320 320 CD A52264 1807 212 41 41 CD A52264 1807 213 1 1 CD A52264 1807 214 31 31 CD A52264 1807 215 58 58 CD A52264 1807 216 319 319 CD A52264 1807 217 42 42 CD A52264 1807 218 1 1 CD A52264 1807 219 34 34 CD A52264 1807 220 22 22 CD A52264 1807 221 318 318 CD A52264 1807 222 43 43 CD A52264 1807 223 1 1 CD A52264 1807 224 36 36 CD A52264 1807 225 86 86 CD A52264 1807 226 317 317 CD A52264 1807 227 44 44 CD A52264 1807 228 1 1 CD A52264 1807 229 39 39 CD A52264 1807 230 50 50 CD A52264 1807 231 316 316 CD A52264 1807 232 45 45 CD A52264 1807 233 1 1 CD A52264 1807 234 42 42 CD A52264 1807 235 08 08 CD A52264 1807 236 315 315 CD A52264 1807 237 46 46 CD A52264 1807 238 1 1 CD A52264 1807 239 44 44 CD A52264 1807 240 52 52 CD A52264 1807 241 314 314 CD A52264 1807 242 47 47 CD A52264 1807 243 1 1 CD A52264 1807 244 47 47 CD A52264 1807 245 05 05 CD A52264 1807 246 313 313 CD A52264 1807 247 48 48 CD A52264 1807 248 1 1 CD A52264 1807 249 49 49 CD A52264 1807 250 47 47 CD A52264 1807 251 312 312 CD A52264 1807 252 49 49 CD A52264 1807 253 1 1 CD A52264 1807 254 51 51 CD A52264 1807 255 89 89 CD A52264 1807 256 311 311 CD A52264 1807 257 50 50 CD A52264 1807 258 1 1 CD A52264 1807 259 54 54 CD A52264 1807 260 16 16 CD A52264 1807 261 310 310 CD A52264 1807 262 51 51 CD A52264 1807 263 1 1 CD A52264 1807 264 56 56 CD A52264 1807 265 47 47 CD A52264 1807 266 309 309 CD A52264 1807 267 52 52 CD A52264 1807 268 1 1 CD A52264 1807 269 58 58 CD A52264 1807 270 69 69 CD A52264 1807 271 308 308 CD A52264 1807 272 53 53 CD A52264 1807 273 1 1 CD A52264 1807 274 60 60 CD A52264 1807 275 86 86 CD A52264 1807 276 307 307 CD A52264 1807 277 54 54 CD A52264 1807 278 1 1 CD A52264 1807 279 63 63 CD A52264 1807 280 00 00 CD A52264 1807 281 306 306 CD A52264 1807 282 55 55 CD A52264 1807 283 1 1 CD A52264 1807 284 65 65 CD A52264 1807 285 14 14 CD A52264 1807 286 305 305 CD A52264 1807 287 56 56 CD A52264 1807 288 1 1 CD A52264 1807 289 67 67 CD A52264 1807 290 25 25 CD A52264 1807 291 304 304 CD A52264 1807 292 57 57 CD A52264 1807 293 1 1 CD A52264 1807 294 69 69 CD A52264 1807 295 30 30 CD A52264 1807 296 303 303 CD A52264 1807 297 58 58 CD A52264 1807 298 1 1 CD A52264 1807 299 71 71 CD A52264 1807 300 33 33 CD A52264 1807 301 302 302 CD A52264 1807 302 59 59 CD A52264 1807 303 1 1 CD A52264 1807 304 73 73 CD A52264 1807 305 28 28 CD A52264 1807 306 301 301 CD A52264 1807 307 60 60 CD A52264 1807 308 1 1 CD A52264 1807 309 75 75 CD A52264 1807 310 05 05 CD A52264 1807 311 300 300 CD A52264 1807 312     _SP A52264 1807 313 1 1 CD A52264 1807 314 76 76 CD A52264 1807 315 92 92 CD A52264 1807 316 299 299 CD A52264 1807 317 62 62 CD A52264 1807 318 1 1 CD A52264 1807 319 76 76 CD A52264 1807 320 69 69 CD A52264 1807 321 298 298 CD A52264 1807 322 63 63 CD A52264 1807 323 1 1 CD A52264 1807 324 80 80 CD A52264 1807 325 39 39 CD A52264 1807 326 297 297 CD A52264 1807 327 64 64 CD A52264 1807 328 1 1 CD A52264 1807 329 81 81 CD A52264 1807 330 97 97 CD A52264 1807 331 296 296 CD A52264 1807 332 65 65 CD A52264 1807 333 1 1 CD A52264 1807 334 83 83 CD A52264 1807 335 50 50 CD A52264 1807 336 295 295 CD A52264 1807 337 66 66 CD A52264 1807 338 1 1 CD A52264 1807 339 85 85 CD A52264 1807 340 00 00 CD A52264 1807 341 294 294 CD A52264 1807 342 67 67 CD A52264 1807 343 1 1 CD A52264 1807 344 86 86 CD A52264 1807 345 44 44 CD A52264 1807 346 293 293 CD A52264 1807 347 68 68 CD A52264 1807 348 1 1 CD A52264 1807 349 87 87 CD A52264 1807 350 83 83 CD A52264 1807 351 292 292 CD A52264 1807 352 69 69 CD A52264 1807 353 1 1 CD A52264 1807 354 89 89 CD A52264 1807 355 16 16 CD A52264 1807 356 291 291 CD A52264 1807 357 70 70 CD A52264 1807 358 1 1 CD A52264 1807 359 90 90 CD A52264 1807 360 44 44 CD A52264 1807 361 290 290 CD A52264 1807 362 71 71 CD A52264 1807 363 1 1 CD A52264 1807 364 91 91 CD A52264 1807 365 69 69 CD A52264 1807 366 289 289 CD A52264 1807 367 72 72 CD A52264 1807 368 1 1 CD A52264 1807 369 92 92 CD A52264 1807 370 86 86 CD A52264 1807 371 288 288 CD A52264 1807 372 73 73 CD A52264 1807 373 1 1 CD A52264 1807 374 93 93 CD A52264 1807 375 96 96 CD A52264 1807 376 287 287 CD A52264 1807 377 74 74 CD A52264 1807 378 1 1 CD A52264 1807 379 95 95 CD A52264 1807 380 28 28 CD A52264 1807 381 286 286 CD A52264 1807 382 75 75 CD A52264 1807 383 1 1 CD A52264 1807 384 96 96 CD A52264 1807 385 22 22 CD A52264 1807 386 285 285 CD A52264 1807 387 76 76 CD A52264 1807 388 1 1 CD A52264 1807 389 97 97 CD A52264 1807 390 14 14 CD A52264 1807 391 284 284 CD A52264 1807 392 77 77 CD A52264 1807 393 1 1 CD A52264 1807 394 97 97 CD A52264 1807 395 97 97 CD A52264 1807 396 283 283 CD A52264 1807 397 78 78 CD A52264 1807 398 1 1 CD A52264 1807 399 98 98 CD A52264 1807 400 72 72 CD A52264 1807 401 282 282 CD A52264 1807 402 79 79 CD A52264 1807 403 1 1 CD A52264 1807 404 99 99 CD A52264 1807 405 61 61 CD A52264 1807 406 281 281 CD A52264 1807 407 80 80 CD A52264 1807 408 2 2 CD A52264 1807 409 00 00 CD A52264 1807 410 41 41 CD A52264 1807 411 280 280 CD A52264 1807 412 81 81 CD A52264 1807 413 2 2 CD A52264 1807 414 01 01 CD A52264 1807 415 14 14 CD A52264 1807 416 279 279 CD A52264 1807 417 82 82 CD A52264 1807 418 2 2 CD A52264 1807 419 01 01 CD A52264 1807 420 72 72 CD A52264 1807 421 278 278 CD A52264 1807 422 83 83 CD A52264 1807 423 2 2 CD A52264 1807 424 02 02 CD A52264 1807 425 25 25 CD A52264 1807 426 277 277 CD A52264 1807 427 84 84 CD A52264 1807 428 2 2 CD A52264 1807 429 02 02 CD A52264 1807 430 94 94 CD A52264 1807 431 276 276 CD A52264 1807 432 85 85 CD A52264 1807 433 2 2 CD A52264 1807 434 03 03 CD A52264 1807 435 14 14 CD A52264 1807 436 275 275 CD A52264 1807 437 86 86 CD A52264 1807 438 2 2 CD A52264 1807 439 03 03 CD A52264 1807 440 44 44 CD A52264 1807 441 274 274 CD A52264 1807 442 87 87 CD A52264 1807 443 2 2 CD A52264 1807 444 03 03 CD A52264 1807 445 66 66 CD A52264 1807 446 273 273 CD A52264 1807 447 88 88 CD A52264 1807 448 2 2 CD A52264 1807 449 04 04 CD A52264 1807 450 05 05 CD A52264 1807 451 272 272 CD A52264 1807 452 89 89 CD A52264 1807 453 2 2 CD A52264 1807 454 04 04 CD A52264 1807 455 22 22 CD A52264 1807 456 271 271 CD A52264 1807 457 90 90 CD A52264 1807 458 2 2 CD A52264 1807 459 04 04 CD A52264 1807 460 41 41 CD A52264 1807 461 270 270 CD A52264 1807 462 91 91 CD A52264 1807 463 2 2 CD A52264 1807 464 04 04 CD A52264 1807 465 47 47 CD A52264 1807 466 269 269 CD A52264 1807 467 92 92 CD A52264 1807 468 2 2 CD A52264 1807 469 04 04 CD A52264 1807 470 41 41 CD A52264 1807 471 268 268 CD A52264 1807 472 93 93 CD A52264 1807 473 2 2 CD A52264 1807 474 04 04 CD A52264 1807 475 27 27 CD A52264 1807 476 267 267 CD A52264 1807 477 94 94 CD A52264 1807 478 2 2 CD A52264 1807 479 04 04 CD A52264 1807 480 11 11 CD A52264 1807 481 266 266 CD A52264 1807 482 95 95 CD A52264 1807 483 2 2 CD A52264 1807 484 03 03 CD A52264 1807 485 89 89 CD A52264 1807 486 265 265 CD A52264 1807 487 96 96 CD A52264 1807 488 2 2 CD A52264 1807 489 03 03 CD A52264 1807 490 61 61 CD A52264 1807 491 264 264 CD A52264 1807 492 97 97 CD A52264 1807 493 2 2 CD A52264 1807 494 03 03 CD A52264 1807 495 33 33 CD A52264 1807 496 263 263 CD A52264 1807 497 98 98 CD A52264 1807 498 2 2 CD A52264 1807 499 02 02 CD A52264 1807 500 94 94 CD A52264 1807 501 262 262 CD A52264 1807 502 99 99 CD A52264 1807 503 2 2 CD A52264 1807 504 02 02 CD A52264 1807 505 50 50 CD A52264 1807 506 261 261 CD A52264 1807 507 100 100 CD A52264 1807 508 2 2 CD A52264 1807 509 02 02 CD A52264 1807 510 03 03 CD A52264 1807 511 260 260 CD A52264 1807 512 101 101 CD A52264 1807 513 2 2 CD A52264 1807 514 01 01 CD A52264 1807 515 42 42 CD A52264 1807 516 259 259 CD A52264 1807 517 102 102 CD A52264 1807 518 2 2 CD A52264 1807 519 00 00 CD A52264 1807 520 64 64 CD A52264 1807 521 258 258 CD A52264 1807 522 103 103 CD A52264 1807 523 1 1 CD A52264 1807 524 99 99 CD A52264 1807 525 83 83 CD A52264 1807 526 257 257 CD A52264 1807 527 104 104 CD A52264 1807 528 1 1 CD A52264 1807 529 99 99 CD A52264 1807 530 27 27 CD A52264 1807 531 256 256 CD A52264 1807 532 105 105 CD A52264 1807 533 1 1 CD A52264 1807 534 98 98 CD A52264 1807 535 47 47 CD A52264 1807 536 255 255 CD A52264 1807 537 106 106 CD A52264 1807 538 1 1 CD A52264 1807 539 97 97 CD A52264 1807 540 64 64 CD A52264 1807 541 254 254 CD A52264 1807 542 107 107 CD A52264 1807 543 1 1 CD A52264 1807 544 96 96 CD A52264 1807 545 67 67 CD A52264 1807 546 253 253 CD A52264 1807 547 108 108 CD A52264 1807 548 1 1 CD A52264 1807 549 95 95 CD A52264 1807 550 67 67 CD A52264 1807 551 252 252 CD A52264 1807 552 109 109 CD A52264 1807 553 1 1 CD A52264 1807 554 94 94 CD A52264 1807 555 55 55 CD A52264 1807 556 251 251 CD A52264 1807 557 110 110 CD A52264 1807 558 1 1 CD A52264 1807 559 93 93 CD A52264 1807 560 39 39 CD A52264 1807 561 250 250 CD A52264 1807 562 111 111 CD A52264 1807 563 1 1 CD A52264 1807 564 92 92 CD A52264 1807 565 11 11 CD A52264 1807 566 249 249 CD A52264 1807 567 112 112 CD A52264 1807 568 1 1 CD A52264 1807 569 90 90 CD A52264 1807 570 89 89 CD A52264 1807 571 248 248 CD A52264 1807 572 113 113 CD A52264 1807 573 1 1 CD A52264 1807 574 89 89 CD A52264 1807 575 58 58 CD A52264 1807 576 247 247 CD A52264 1807 577 114 114 CD A52264 1807 578 1 1 CD A52264 1807 579 88 88 CD A52264 1807 580 28 28 CD A52264 1807 581 246 246 CD A52264 1807 582 115 115 CD A52264 1807 583 1 1 CD A52264 1807 584 86 86 CD A52264 1807 585 89 89 CD A52264 1807 586 245 245 CD A52264 1807 587 116 116 CD A52264 1807 588 1 1 CD A52264 1807 589 85 85 CD A52264 1807 590 44 44 CD A52264 1807 591 244 244 CD A52264 1807 592 117 117 CD A52264 1807 593 1 1 CD A52264 1807 594 83 83 CD A52264 1807 595 97 97 CD A52264 1807 596 243 243 CD A52264 1807 597 118 118 CD A52264 1807 598 1 1 CD A52264 1807 599 82 82 CD A52264 1807 600 39 39 CD A52264 1807 601 242 242 CD A52264 1807 602 119 119 CD A52264 1807 603 1 1 CD A52264 1807 604 80 80 CD A52264 1807 605 72 72 CD A52264 1807 606 241 241 CD A52264 1807 607 120 120 CD A52264 1807 608 1 1 CD A52264 1807 609 79 79 CD A52264 1807 610 00 00 CD A52264 1807 611 240 240 CD A52264 1807 612 121 121 CD A52264 1807 613 1 1 CD A52264 1807 614 77 77 CD A52264 1807 615 19 19 CD A52264 1807 616 239 239 CD A52264 1807 617 122 122 CD A52264 1807 618 1 1 CD A52264 1807 619 75 75 CD A52264 1807 620 39 39 CD A52264 1807 621 238 238 CD A52264 1807 622 123 123 CD A52264 1807 623 1 1 CD A52264 1807 624 73 73 CD A52264 1807 625 50 50 CD A52264 1807 626 237 237 CD A52264 1807 627 124 124 CD A52264 1807 628 1 1 CD A52264 1807 629 71 71 CD A52264 1807 630 50 50 CD A52264 1807 631 236 236 CD A52264 1807 632 125 125 CD A52264 1807 633 1 1 CD A52264 1807 634 69 69 CD A52264 1807 635 50 50 CD A52264 1807 636 235 235 CD A52264 1807 637 126 126 CD A52264 1807 638 1 1 CD A52264 1807 639 67 67 CD A52264 1807 640 53 53 CD A52264 1807 641 234 234 CD A52264 1807 642 127 127 CD A52264 1807 643 1 1 CD A52264 1807 644 65 65 CD A52264 1807 645 39 39 CD A52264 1807 646 233 233 CD A52264 1807 647 128 128 CD A52264 1807 648 1 1 CD A52264 1807 649 63 63 CD A52264 1807 650 22 22 CD A52264 1807 651 232 232 CD A52264 1807 652 129 129 CD A52264 1807 653 1 1 CD A52264 1807 654 61 61 CD A52264 1807 655 28 28 CD A52264 1807 656 231 231 CD A52264 1807 657 130 130 CD A52264 1807 658 1 1 CD A52264 1807 659 58 58 CD A52264 1807 660 77 77 CD A52264 1807 661 230 230 CD A52264 1807 662 131 131 CD A52264 1807 663 1 1 CD A52264 1807 664 56 56 CD A52264 1807 665 44 44 CD A52264 1807 666 229 229 CD A52264 1807 667 132 132 CD A52264 1807 668 1 1 CD A52264 1807 669 54 54 CD A52264 1807 670 05 05 CD A52264 1807 671 228 228 CD A52264 1807 672 133 133 CD A52264 1807 673 1 1 CD A52264 1807 674 51 51 CD A52264 1807 675 64 64 CD A52264 1807 676 227 227 CD A52264 1807 677 134 134 CD A52264 1807 678 1 1 CD A52264 1807 679 49 49 CD A52264 1807 680 16 16 CD A52264 1807 681 226 226 CD A52264 1807 682 135 135 CD A52264 1807 683 1 1 CD A52264 1807 684 46 46 CD A52264 1807 685 97 97 CD A52264 1807 686 225 225 CD A52264 1807 687 136 136 CD A52264 1807 688 1 1 CD A52264 1807 689 44 44 CD A52264 1807 690 16 16 CD A52264 1807 691 224 224 CD A52264 1807 692 137 137 CD A52264 1807 693 1 1 CD A52264 1807 694 41 41 CD A52264 1807 695 58 58 CD A52264 1807 696 223 223 CD A52264 1807 697 138 138 CD A52264 1807 698 1 1 CD A52264 1807 699 38 38 CD A52264 1807 700 94 94 CD A52264 1807 701 222 222 CD A52264 1807 702 139 139 CD A52264 1807 703 1 1 CD A52264 1807 704 36 36 CD A52264 1807 705 31 31 CD A52264 1807 706 221 221 CD A52264 1807 707 140 140 CD A52264 1807 708 1 1 CD A52264 1807 709 33 33 CD A52264 1807 710 58 58 CD A52264 1807 711 220 220 CD A52264 1807 712 141 141 CD A52264 1807 713 1 1 CD A52264 1807 714 30 30 CD A52264 1807 715 83 83 CD A52264 1807 716 219 219 CD A52264 1807 717 142 142 CD A52264 1807 718 1 1 CD A52264 1807 719 28 28 CD A52264 1807 720 08 08 CD A52264 1807 721 218 218 CD A52264 1807 722 143 143 CD A52264 1807 723 1 1 CD A52264 1807 724 25 25 CD A52264 1807 725 28 28 CD A52264 1807 726 217 217 CD A52264 1807 727 144 144 CD A52264 1807 728 1 1 CD A52264 1807 729 22 22 CD A52264 1807 730 42 42 CD A52264 1807 731 216 216 CD A52264 1807 732 145 145 CD A52264 1807 733 1 1 CD A52264 1807 734 19 19 CD A52264 1807 735 55 55 CD A52264 1807 736 215 215 CD A52264 1807 737 146 146 CD A52264 1807 738 1 1 CD A52264 1807 739 16 16 CD A52264 1807 740 67 67 CD A52264 1807 741 214 214 CD A52264 1807 742 147 147 CD A52264 1807 743 1 1 CD A52264 1807 744 13 13 CD A52264 1807 745 72 72 CD A52264 1807 746 213 213 CD A52264 1807 747 148 148 CD A52264 1807 748 1 1 CD A52264 1807 749 10 10 CD A52264 1807 750 61 61 CD A52264 1807 751 212 212 CD A52264 1807 752 149 149 CD A52264 1807 753 1 1 CD A52264 1807 754 07 07 CD A52264 1807 755 47 47 CD A52264 1807 756 211 211 CD A52264 1807 757 150 150 CD A52264 1807 758 1 1 CD A52264 1807 759 04 04 CD A52264 1807 760 27 27 CD A52264 1807 761 210 210 CD A52264 1807 762 151 151 CD A52264 1807 763 1 1 CD A52264 1807 764 01 01 CD A52264 1807 765 00 00 CD A52264 1807 766 209 209 CD A52264 1807 767 152 152 CD A52264 1807 768 0 0 CD A52264 1807 769 97 97 CD A52264 1807 770 75 75 CD A52264 1807 771 208 208 CD A52264 1807 772 153 153 CD A52264 1807 773 0 0 CD A52264 1807 774 94 94 CD A52264 1807 775 47 47 CD A52264 1807 776 207 207 CD A52264 1807 777 154 154 CD A52264 1807 778 0 0 CD A52264 1807 779 91 91 CD A52264 1807 780 19 19 CD A52264 1807 781 206 206 CD A52264 1807 782 155 155 CD A52264 1807 783 0 0 CD A52264 1807 784 87 87 CD A52264 1807 785 89 89 CD A52264 1807 786 205 205 CD A52264 1807 787 156 156 CD A52264 1807 788 0 0 CD A52264 1807 789 84 84 CD A52264 1807 790 58 58 CD A52264 1807 791 204 204 CD A52264 1807 792 157 157 CD A52264 1807 793 0 0 CD A52264 1807 794 81 81 CD A52264 1807 795 28 28 CD A52264 1807 796 203 203 CD A52264 1807 797 158 158 CD A52264 1807 798 0 0 CD A52264 1807 799 77 77 CD A52264 1807 800 97 97 CD A52264 1807 801 202 202 CD A52264 1807 802 159 159 CD A52264 1807 803 0 0 CD A52264 1807 804 74 74 CD A52264 1807 805 61 61 CD A52264 1807 806 201 201 CD A52264 1807 807 160 160 CD A52264 1807 808 0 0 CD A52264 1807 809 71 71 CD A52264 1807 810 25 25 CD A52264 1807 811 200 200 CD A52264 1807 812 161 161 CD A52264 1807 813 0 0 CD A52264 1807 814 67 67 CD A52264 1807 815 86 86 CD A52264 1807 816 199 199 CD A52264 1807 817 162 162 CD A52264 1807 818 0 0 CD A52264 1807 819 64 64 CD A52264 1807 820 44 44 CD A52264 1807 821 198 198 CD A52264 1807 822 163 163 CD A52264 1807 823 0 0 CD A52264 1807 824 60 60 CD A52264 1807 825 97 97 CD A52264 1807 826 197 197 CD A52264 1807 827 164 164 CD A52264 1807 828 0 0 CD A52264 1807 829 57 57 CD A52264 1807 830 44 44 CD A52264 1807 831 196 196 CD A52264 1807 832 165 165 CD A52264 1807 833 0 0 CD A52264 1807 834 53 53 CD A52264 1807 835 89 89 CD A52264 1807 836 195 195 CD A52264 1807 837 166 166 CD A52264 1807 838 0 0 CD A52264 1807 839 50 50 CD A52264 1807 840 33 33 CD A52264 1807 841 194 194 CD A52264 1807 842 167 167 CD A52264 1807 843 0 0 CD A52264 1807 844 46 46 CD A52264 1807 845 75 75 CD A52264 1807 846 193 193 CD A52264 1807 847 168 168 CD A52264 1807 848 0 0 CD A52264 1807 849 43 43 CD A52264 1807 850 19 19 CD A52264 1807 851 192 192 CD A52264 1807 852 169 169 CD A52264 1807 853 0 0 CD A52264 1807 854 39 39 CD A52264 1807 855 64 64 CD A52264 1807 856 191 191 CD A52264 1807 857 170 170 CD A52264 1807 858 0 0 CD A52264 1807 859 36 36 CD A52264 1807 860 06 06 CD A52264 1807 861 190 190 CD A52264 1807 862 171 171 CD A52264 1807 863 0 0 CD A52264 1807 864 32 32 CD A52264 1807 865 50 50 CD A52264 1807 866 189 189 CD A52264 1807 867 172 172 CD A52264 1807 868 0 0 CD A52264 1807 869 28 28 CD A52264 1807 870 91 91 CD A52264 1807 871 188 188 CD A52264 1807 872 173 173 CD A52264 1807 873 0 0 CD A52264 1807 874 25 25 CD A52264 1807 875 31 31 CD A52264 1807 876 187 187 CD A52264 1807 877 174 174 CD A52264 1807 878 0 0 CD A52264 1807 879 21 21 CD A52264 1807 880 69 69 CD A52264 1807 881 186 186 CD A52264 1807 882 175 175 CD A52264 1807 883 0 0 CD A52264 1807 884 17 17 CD A52264 1807 885 08 08 CD A52264 1807 886 185 185 CD A52264 1807 887 176 176 CD A52264 1807 888 0 0 CD A52264 1807 889 14 14 CD A52264 1807 890 47 47 CD A52264 1807 891 184 184 CD A52264 1807 892 177 177 CD A52264 1807 893 0 0 CD A52264 1807 894 10 10 CD A52264 1807 895 86 86 CD A52264 1807 896 183 183 CD A52264 1807 897 178 178 CD A52264 1807 898 0 0 CD A52264 1807 899 07 07 CD A52264 1807 900 25 25 CD A52264 1807 901 182 182 CD A52264 1807 902 179 179 CD A52264 1807 903 0 0 CD A52264 1807 904 03 03 CD A52264 1807 905 64 64 CD A52264 1807 906 181 181 CD A52264 1807 907 180 180 CD A52264 1807 908 0 0 CD A52264 1807 909 00 00 CD A52264 1807 910 00 00 CD A52264 1807 911 180 180 CD A52264 1807 912 A a DT A52264 1807 913 Catalogue Catalogue NNP A52264 1807 914 of of IN A52264 1807 915 some some DT A52264 1807 916 of of IN A52264 1807 917 the the DT A52264 1807 918 most most RBS A52264 1807 919 eminent eminent JJ A52264 1807 920 Cities city NNS A52264 1807 921 and and CC A52264 1807 922 Towns Towns NNPS A52264 1807 923 in in IN A52264 1807 924 England England NNP A52264 1807 925 , , , A52264 1807 926 Ireland Ireland NNP A52264 1807 927 , , , A52264 1807 928 and and CC A52264 1807 929 other other JJ A52264 1807 930 Countreys Countreys NNPS A52264 1807 931 , , , A52264 1807 932 wherein wherein WRB A52264 1807 933 is be VBZ A52264 1807 934 shewed shew VBN A52264 1807 935 the the DT A52264 1807 936 difference difference NN A52264 1807 937 of of IN A52264 1807 938 their -PRON- PRP$ A52264 1807 939 Merdians Merdians NNPS A52264 1807 940 from from IN A52264 1807 941 London London NNP A52264 1807 942 , , , A52264 1807 943 with with IN A52264 1807 944 the the DT A52264 1807 945 height height NN A52264 1807 946 of of IN A52264 1807 947 the the DT A52264 1807 948 Pole Pole NNP A52264 1807 949 Artique Artique NNP A52264 1807 950 . . . A52264 1808 1 Names name NNS A52264 1808 2 of of IN A52264 1808 3 the the DT A52264 1808 4 Places Places NNPS A52264 1808 5 . . . A52264 1809 1 Diff Diff NNP A52264 1809 2 . . . A52264 1810 1 in in IN A52264 1810 2 time time NN A52264 1810 3 Pole Pole NNP A52264 1810 4 ABerden ABerden NNP A52264 1810 5 in in IN A52264 1810 6 Scotland Scotland NNP A52264 1810 7 S S NNP A52264 1810 8 0 0 CD A52264 1810 9 12 12 CD A52264 1810 10 58 58 CD A52264 1810 11 67 67 CD A52264 1810 12 S. S. NNP A52264 1810 13 Albons Albons NNPS A52264 1810 14 S S NNP A52264 1810 15 0 0 CD A52264 1810 16 02 02 CD A52264 1810 17 51 51 CD A52264 1810 18 92 92 CD A52264 1810 19 Alexandria Alexandria NNP A52264 1810 20 in in IN A52264 1810 21 Egypt Egypt NNP A52264 1810 22 A a DT A52264 1810 23 2 2 CD A52264 1810 24 18 18 CD A52264 1810 25 30 30 CD A52264 1810 26 97 97 CD A52264 1810 27 Amsterdam Amsterdam NNP A52264 1810 28 in in IN A52264 1810 29 Holland Holland NNP A52264 1810 30 A A NNP A52264 1810 31 0 0 CD A52264 1810 32 35 35 CD A52264 1810 33 52 52 CD A52264 1810 34 42 42 CD A52264 1810 35 Athens athen NNS A52264 1810 36 in in IN A52264 1810 37 Greece Greece NNP A52264 1810 38 A A NNP A52264 1810 39 1 1 CD A52264 1810 40 87 87 CD A52264 1810 41 37 37 CD A52264 1810 42 70 70 CD A52264 1810 43 Bethelem Bethelem NNP A52264 1810 44 A A NNP A52264 1810 45 2 2 CD A52264 1810 46 77 77 CD A52264 1810 47 31 31 CD A52264 1810 48 83 83 CD A52264 1810 49 Barwick Barwick NNP A52264 1810 50 S S NNP A52264 1810 51 0 0 CD A52264 1810 52 10 10 CD A52264 1810 53 55 55 CD A52264 1810 54 82 82 CD A52264 1810 55 Bedford Bedford NNP A52264 1810 56 S S NNP A52264 1810 57 0 0 CD A52264 1810 58 03 03 CD A52264 1810 59 52 52 CD A52264 1810 60 30 30 CD A52264 1810 61 Calice Calice NNP A52264 1810 62 in in IN A52264 1810 63 France France NNP A52264 1810 64     _SP A52264 1810 65 0 0 CD A52264 1810 66 00 00 CD A52264 1810 67 50 50 CD A52264 1810 68 87 87 CD A52264 1810 69 Cambridge Cambridge NNP A52264 1810 70 A A NNP A52264 1810 71 0 0 CD A52264 1810 72 03 03 CD A52264 1810 73 52 52 CD A52264 1810 74 33 33 CD A52264 1810 75 Canterbury Canterbury NNP A52264 1810 76 A A NNP A52264 1810 77 0 0 CD A52264 1810 78 08 08 CD A52264 1810 79 51 51 CD A52264 1810 80 45 45 CD A52264 1810 81 Constantinople Constantinople NNP A52264 1810 82 A a NN A52264 1810 83 2 2 CD A52264 1810 84 30 30 CD A52264 1810 85 43 43 CD A52264 1810 86 00 00 CD A52264 1810 87 Darby darby NN A52264 1810 88 S S NNP A52264 1810 89 0 0 CD A52264 1810 90 08 08 CD A52264 1810 91 53 53 CD A52264 1810 92 10 10 CD A52264 1810 93 Dublin Dublin NNP A52264 1810 94 in in IN A52264 1810 95 Ireland Ireland NNP A52264 1810 96 S S NNP A52264 1810 97 0 0 CD A52264 1810 98 43 43 CD A52264 1810 99 53 53 CD A52264 1810 100 18 18 CD A52264 1810 101 Dartmouth Dartmouth NNP A52264 1810 102 S S NNP A52264 1810 103 0 0 CD A52264 1810 104 25 25 CD A52264 1810 105 50 50 CD A52264 1810 106 53 53 CD A52264 1810 107 Ely Ely NNP A52264 1810 108 A a DT A52264 1810 109 0 0 CD A52264 1810 110 02 02 CD A52264 1810 111 52 52 CD A52264 1810 112 33 33 CD A52264 1810 113 Grantham Grantham NNP A52264 1810 114 S S NNP A52264 1810 115 0 0 CD A52264 1810 116 03 03 CD A52264 1810 117 52 52 CD A52264 1810 118 97 97 CD A52264 1810 119 Glocester Glocester NNP A52264 1810 120 S S NNP A52264 1810 121 0 0 CD A52264 1810 122 15 15 CD A52264 1810 123 52 52 CD A52264 1810 124 00 00 CD A52264 1810 125 Hartford Hartford NNP A52264 1810 126 S S NNP A52264 1810 127 0 0 CD A52264 1810 128 02 02 CD A52264 1810 129 51 51 CD A52264 1810 130 83 83 CD A52264 1810 131 Hierusalem Hierusalem NNP A52264 1810 132 A a DT A52264 1810 133 3 3 CD A52264 1810 134 08 08 CD A52264 1810 135 32 32 CD A52264 1810 136 17 17 CD A52264 1810 137 Huntington Huntington NNP A52264 1810 138 S S NNP A52264 1810 139 0 0 CD A52264 1810 140 02 02 CD A52264 1810 141 52 52 CD A52264 1810 142 32 32 CD A52264 1810 143 Leicester leicester NN A52264 1810 144 S S NNP A52264 1810 145 0 0 CD A52264 1810 146 07 07 CD A52264 1810 147 52 52 CD A52264 1810 148 67 67 CD A52264 1810 149 Lincolne Lincolne NNP A52264 1810 150 S S NNP A52264 1810 151 0 0 CD A52264 1810 152 02 02 CD A52264 1810 153 57 57 CD A52264 1810 154 25 25 CD A52264 1810 155 Nottingham Nottingham NNP A52264 1810 156 S S NNP A52264 1810 157 0 0 CD A52264 1810 158 07 07 CD A52264 1810 159 53 53 CD A52264 1810 160 05 05 CD A52264 1810 161 Newark Newark NNP A52264 1810 162 S S NNP A52264 1810 163 0 0 CD A52264 1810 164 05 05 CD A52264 1810 165 53 53 CD A52264 1810 166 03 03 CD A52264 1810 167 Newcastle Newcastle NNP A52264 1810 168 S S NNP A52264 1810 169 0 0 CD A52264 1810 170 10 10 CD A52264 1810 171 54 54 CD A52264 1810 172 97 97 CD A52264 1810 173 Northampton Northampton NNP A52264 1810 174 S S NNP A52264 1810 175 0 0 CD A52264 1810 176 07 07 CD A52264 1810 177 52 52 CD A52264 1810 178 30 30 CD A52264 1810 179 Oxford Oxford NNP A52264 1810 180 S S NNP A52264 1810 181 0 0 CD A52264 1810 182 08 08 CD A52264 1810 183 51 51 CD A52264 1810 184 90 90 CD A52264 1810 185 Peterborough peterborough NN A52264 1810 186 S S NNP A52264 1810 187 0 0 CD A52264 1810 188 03 03 CD A52264 1810 189 52 52 CD A52264 1810 190 38 38 CD A52264 1810 191 Richmond Richmond NNP A52264 1810 192 S S NNP A52264 1810 193 0 0 CD A52264 1810 194 10 10 CD A52264 1810 195 54 54 CD A52264 1810 196 43 43 CD A52264 1810 197 Rochester Rochester NNP A52264 1810 198 A A NNP A52264 1810 199 0 0 CD A52264 1810 200 05 05 CD A52264 1810 201 51 51 CD A52264 1810 202 47 47 CD A52264 1810 203 Rochel Rochel NNP A52264 1810 204 in in IN A52264 1810 205 France France NNP A52264 1810 206 S S NNP A52264 1810 207 0 0 CD A52264 1810 208 07 07 CD A52264 1810 209 45 45 CD A52264 1810 210 82 82 CD A52264 1810 211 Rome Rome NNP A52264 1810 212 in in IN A52264 1810 213 Italy Italy NNP A52264 1810 214 A A NNP A52264 1810 215 0 0 CD A52264 1810 216 83 83 CD A52264 1810 217 42 42 CD A52264 1810 218 03 03 CD A52264 1810 219 Stafford stafford NN A52264 1810 220 S S NNP A52264 1810 221 0 0 CD A52264 1810 222 13 13 CD A52264 1810 223 52 52 CD A52264 1810 224 92 92 CD A52264 1810 225 Stamford Stamford NNP A52264 1810 226 S S NNP A52264 1810 227 0 0 CD A52264 1810 228 03 03 CD A52264 1810 229 52 52 CD A52264 1810 230 68 68 CD A52264 1810 231 Sbrewsbury Sbrewsbury NNP A52264 1810 232 S S NNP A52264 1810 233 0 0 CD A52264 1810 234 18 18 CD A52264 1810 235 54 54 CD A52264 1810 236 80 80 CD A52264 1810 237 Tredagh tredagh NN A52264 1810 238 in in IN A52264 1810 239 Ireland Ireland NNP A52264 1810 240 S S NNP A52264 1810 241 0 0 CD A52264 1810 242 45 45 CD A52264 1810 243 53 53 CD A52264 1810 244 63 63 CD A52264 1810 245 Uppingham Uppingham NNP A52264 1810 246 S S NNP A52264 1810 247 0 0 CD A52264 1810 248 05 05 CD A52264 1810 249 52 52 CD A52264 1810 250 67 67 CD A52264 1810 251 Uraniburge Uraniburge NNP A52264 1810 252 A A NNP A52264 1810 253 0 0 CD A52264 1810 254 83 83 CD A52264 1810 255 55 55 CD A52264 1810 256 90 90 CD A52264 1810 257 Warwick Warwick NNP A52264 1810 258 S S NNP A52264 1810 259 0 0 CD A52264 1810 260 10 10 CD A52264 1810 261 52 52 CD A52264 1810 262 42 42 CD A52264 1810 263 Winchester Winchester NNP A52264 1810 264 S S NNP A52264 1810 265 0 0 CD A52264 1810 266 08 08 CD A52264 1810 267 51 51 CD A52264 1810 268 17 17 CD A52264 1810 269 Waterford Waterford NNP A52264 1810 270 in in IN A52264 1810 271 Ireland Ireland NNP A52264 1810 272 S S NNP A52264 1810 273 0 0 CD A52264 1810 274 45 45 CD A52264 1810 275 52 52 CD A52264 1810 276 37 37 CD A52264 1810 277 Worcester Worcester NNP A52264 1810 278 S S NNP A52264 1810 279 0 0 CD A52264 1810 280 15 15 CD A52264 1810 281 52 52 CD A52264 1810 282 33 33 CD A52264 1810 283 Yarmouth Yarmouth NNP A52264 1810 284 A A NNP A52264 1810 285 0 0 CD A52264 1810 286 10 10 CD A52264 1810 287 52 52 CD A52264 1810 288 75 75 CD A52264 1810 289 York York NNP A52264 1810 290 S S NNP A52264 1810 291 0 0 CD A52264 1810 292 07 07 CD A52264 1810 293 54 54 CD A52264 1810 294 00 00 CD A52264 1810 295 LONDON LONDON NNP A52264 1810 296     _SP A52264 1810 297 0 0 CD A52264 1810 298 00 00 CD A52264 1810 299 51 51 CD A52264 1810 300 53 53 CD A52264 1810 301 Probl Probl NNP A52264 1810 302 . . . A52264 1811 1 2 2 LS A52264 1811 2 . . . A52264 1812 1 To to TO A52264 1812 2 finde finde VB A52264 1812 3 the the DT A52264 1812 4 Suns Suns NNPS A52264 1812 5 greatest great JJS A52264 1812 6 declination declination NN A52264 1812 7 , , , A52264 1812 8 and and CC A52264 1812 9 the the DT A52264 1812 10 Poles Poles NNPS A52264 1812 11 elevation elevation NN A52264 1812 12 . . . A52264 1813 1 THe the DT A52264 1813 2 Declination declination NN A52264 1813 3 of of IN A52264 1813 4 a a DT A52264 1813 5 Planet Planet NNP A52264 1813 6 or or CC A52264 1813 7 other other JJ A52264 1813 8 Star Star NNP A52264 1813 9 is be VBZ A52264 1813 10 his -PRON- PRP$ A52264 1813 11 distance distance NN A52264 1813 12 from from IN A52264 1813 13 the the DT A52264 1813 14 Equator equator NN A52264 1813 15 , , , A52264 1813 16 and and CC A52264 1813 17 as as IN A52264 1813 18 he -PRON- PRP A52264 1813 19 declines decline VBZ A52264 1813 20 from from IN A52264 1813 21 thence thence NN A52264 1813 22 either either CC A52264 1813 23 Northward Northward NNP A52264 1813 24 or or CC A52264 1813 25 Southward Southward NNP A52264 1813 26 , , , A52264 1813 27 so so RB A52264 1813 28 is be VBZ A52264 1813 29 the the DT A52264 1813 30 Declination Declination NNP A52264 1813 31 thereof thereof RB A52264 1813 32 counted count VBD A52264 1813 33 either either CC A52264 1813 34 North North NNP A52264 1813 35 or or CC A52264 1813 36 South South NNP A52264 1813 37 . . . A52264 1814 1 In in IN A52264 1814 2 the the DT A52264 1814 3 annexed annex VBN A52264 1814 4 Diagram Diagram NNP A52264 1814 5 , , , A52264 1814 6 GMNB GMNB NNP A52264 1814 7 represents represent VBZ A52264 1814 8 the the DT A52264 1814 9 Meridian Meridian NNP A52264 1814 10 , , , A52264 1814 11 LK LK NNP A52264 1814 12 the the DT A52264 1814 13 Equinoctiall Equinoctiall NNP A52264 1814 14 , , , A52264 1814 15 HP HP NNP A52264 1814 16 the the DT A52264 1814 17 Zodiac Zodiac NNP A52264 1814 18 , , , A52264 1814 19 A a DT A52264 1814 20 the the DT A52264 1814 21 North North NNP A52264 1814 22 pole pole NN A52264 1814 23 , , , A52264 1814 24 O o UH A52264 1814 25 the the DT A52264 1814 26 South South NNP A52264 1814 27 , , , A52264 1814 28 MB MB NNP A52264 1814 29 the the DT A52264 1814 30 Horizon Horizon NNP A52264 1814 31 , , , A52264 1814 32 G G NNP A52264 1814 33 the the DT A52264 1814 34 Zenith Zenith NNP A52264 1814 35 , , , A52264 1814 36 N N NNP A52264 1814 37 the the DT A52264 1814 38 Nadir Nadir NNPS A52264 1814 39 , , , A52264 1814 40 HC HC NNP A52264 1814 41 a a DT A52264 1814 42 parallel parallel NN A52264 1814 43 of of IN A52264 1814 44 the the DT A52264 1814 45 Suns Suns NNPS A52264 1814 46 diu diu NN A52264 1814 47 ● ● NFP A52264 1814 48 nall nall NN A52264 1814 49 motion motion NN A52264 1814 50 at at IN A52264 1814 51 H h NN A52264 1814 52 , , , A52264 1814 53 or or CC A52264 1814 54 the the DT A52264 1814 55 Suns Suns NNPS A52264 1814 56 greatest great JJS A52264 1814 57 declination declination NN A52264 1814 58 from from IN A52264 1814 59 the the DT A52264 1814 60 Equator equator NN A52264 1814 61 towards towards IN A52264 1814 62 the the DT A52264 1814 63 North North NNP A52264 1814 64 pole pole NN A52264 1814 65 , , , A52264 1814 66 PQ PQ NNP A52264 1814 67 a a DT A52264 1814 68 parallel parallel NN A52264 1814 69 of of IN A52264 1814 70 the the DT A52264 1814 71 Suns Suns NNPS A52264 1814 72 greatest great JJS A52264 1814 73 declination declination NN A52264 1814 74 from from IN A52264 1814 75 the the DT A52264 1814 76 Equator equator NN A52264 1814 77 towards towards IN A52264 1814 78 the the DT A52264 1814 79 South South NNP A52264 1814 80 pole pole NN A52264 1814 81 . . . A52264 1815 1 From from IN A52264 1815 2 whence whence NN A52264 1815 3 it -PRON- PRP A52264 1815 4 is be VBZ A52264 1815 5 apparent apparent JJ A52264 1815 6 , , , A52264 1815 7 that that IN A52264 1815 8 from from IN A52264 1815 9 M M NNP A52264 1815 10 to to IN A52264 1815 11 H h NN A52264 1815 12 is be VBZ A52264 1815 13 the the DT A52264 1815 14 Suns Suns NNPS A52264 1815 15 greatest great JJS A52264 1815 16 Meridian meridian JJ A52264 1815 17 altitude altitude NN A52264 1815 18 , , , A52264 1815 19 from from IN A52264 1815 20 M M NNP A52264 1815 21 to to IN A52264 1815 22 Q Q NNP A52264 1815 23 his -PRON- PRP$ A52264 1815 24 least least JJS A52264 1815 25 ; ; : A52264 1815 26 if if IN A52264 1815 27 therefore therefore RB A52264 1815 28 you -PRON- PRP A52264 1815 29 deduct deduct VBP A52264 1815 30 MQ MQ NNP A52264 1815 31 , , , A52264 1815 32 the the DT A52264 1815 33 least least JJS A52264 1815 34 Meridian meridian JJ A52264 1815 35 altitude altitude NN A52264 1815 36 from from IN A52264 1815 37 MH MH NNP A52264 1815 38 , , , A52264 1815 39 the the DT A52264 1815 40 greatest great JJS A52264 1815 41 , , , A52264 1815 42 the the DT A52264 1815 43 difference difference NN A52264 1815 44 will will MD A52264 1815 45 be be VB A52264 1815 46 HQ HQ NNP A52264 1815 47 , , , A52264 1815 48 the the DT A52264 1815 49 Suns Suns NNPS A52264 1815 50 greatest great JJS A52264 1815 51 declination declination NN A52264 1815 52 on on IN A52264 1815 53 both both DT A52264 1815 54 sides side NNS A52264 1815 55 of of IN A52264 1815 56 the the DT A52264 1815 57 Equator Equator NNP A52264 1815 58 , , , A52264 1815 59 and and CC A52264 1815 60 because because IN A52264 1815 61 the the DT A52264 1815 62 angles angle NNS A52264 1815 63 HDL HDL NNP A52264 1815 64 and and CC A52264 1815 65 KDP KDP NNP A52264 1815 66 are be VBP A52264 1815 67 equal equal JJ A52264 1815 68 , , , A52264 1815 69 by by IN A52264 1815 70 the the DT A52264 1815 71 9th 9th NN A52264 1815 72 . . . A52264 1816 1 of of IN A52264 1816 2 the the DT A52264 1816 3 second second JJ A52264 1816 4 , , , A52264 1816 5 therefore therefore RB A52264 1816 6 the the DT A52264 1816 7 Suns Suns NNPS A52264 1816 8 greatest great JJS A52264 1816 9 declination declination NN A52264 1816 10 towards towards IN A52264 1816 11 the the DT A52264 1816 12 South South NNP A52264 1816 13 pole pole NN A52264 1816 14 is be VBZ A52264 1816 15 equall equall JJ A52264 1816 16 to to IN A52264 1816 17 his -PRON- PRP$ A52264 1816 18 greatest great JJS A52264 1816 19 declination declination NN A52264 1816 20 towards towards IN A52264 1816 21 the the DT A52264 1816 22 North North NNP A52264 1816 23 ; ; : A52264 1816 24 and and CC A52264 1816 25 consequently consequently RB A52264 1816 26 , , , A52264 1816 27 half half PDT A52264 1816 28 the the DT A52264 1816 29 distance distance NN A52264 1816 30 of of IN A52264 1816 31 the the DT A52264 1816 32 Tropicks Tropicks NNPS A52264 1816 33 , , , A52264 1816 34 or or CC A52264 1816 35 the the DT A52264 1816 36 arch arch JJ A52264 1816 37 HQ HQ NNP A52264 1816 38 , , , A52264 1816 39 that that RB A52264 1816 40 is is RB A52264 1816 41 , , , A52264 1816 42 the the DT A52264 1816 43 arch arch JJ A52264 1816 44 HL HL NNP A52264 1816 45 is be VBZ A52264 1816 46 the the DT A52264 1816 47 quantity quantity NN A52264 1816 48 of of IN A52264 1816 49 the the DT A52264 1816 50 Suns Suns NNPS A52264 1816 51 greatest great JJS A52264 1816 52 declination declination NN A52264 1816 53 . . . A52264 1817 1 And and CC A52264 1817 2 then then RB A52264 1817 3 if if IN A52264 1817 4 you -PRON- PRP A52264 1817 5 deduct deduct VBP A52264 1817 6 the the DT A52264 1817 7 Suns Suns NNPS A52264 1817 8 greatest great JJS A52264 1817 9 declination declination NN A52264 1817 10 , , , A52264 1817 11 or or CC A52264 1817 12 the the DT A52264 1817 13 arch arch JJ A52264 1817 14 HL HL NNP A52264 1817 15 from from IN A52264 1817 16 the the DT A52264 1817 17 Suns Suns NNPS A52264 1817 18 greatest great JJS A52264 1817 19 Meridian meridian JJ A52264 1817 20 altitude altitude NN A52264 1817 21 , , , A52264 1817 22 or or CC A52264 1817 23 the the DT A52264 1817 24 arch arch JJ A52264 1817 25 MH MH NNP A52264 1817 26 , , , A52264 1817 27 the the DT A52264 1817 28 difference difference NN A52264 1817 29 will will MD A52264 1817 30 be be VB A52264 1817 31 ML ML NNP A52264 1817 32 , , , A52264 1817 33 or or CC A52264 1817 34 the the DT A52264 1817 35 height height NN A52264 1817 36 of of IN A52264 1817 37 the the DT A52264 1817 38 Equator Equator NNP A52264 1817 39 above above IN A52264 1817 40 the the DT A52264 1817 41 Horizon Horizon NNP A52264 1817 42 , , , A52264 1817 43 the the DT A52264 1817 44 complement complement NN A52264 1817 45 whereof whereof VBD A52264 1817 46 to to IN A52264 1817 47 a a DT A52264 1817 48 Quadrant Quadrant NNP A52264 1817 49 is be VBZ A52264 1817 50 the the DT A52264 1817 51 arch arch JJ A52264 1817 52 MO mo NN A52264 1817 53 equal equal JJ A52264 1817 54 to to IN A52264 1817 55 AB AB NNP A52264 1817 56 , , , A52264 1817 57 the the DT A52264 1817 58 height height NN A52264 1817 59 of of IN A52264 1817 60 the the DT A52264 1817 61 Pole Pole NNP A52264 1817 62 . . . A52264 1818 1 Example example NN A52264 1818 2 . . . A52264 1819 1 The the DT A52264 1819 2 Suns Suns NNPS A52264 1819 3 greatest great JJS A52264 1819 4 meridian meridian JJ A52264 1819 5 altitude altitude NN A52264 1819 6 at at IN A52264 1819 7 London London NNP A52264 1819 8 about about IN A52264 1819 9 the the DT A52264 1819 10 11 11 CD A52264 1819 11 th th NN A52264 1819 12 . . . A52264 1820 1 of of IN A52264 1820 2 June June NNP A52264 1820 3 was be VBD A52264 1820 4 found find VBN A52264 1820 5 to to TO A52264 1820 6 be be VB A52264 1820 7 62 62 CD A52264 1820 8 00 00 CD A52264 1820 9 00 00 NFP A52264 1820 10 His -PRON- PRP$ A52264 1820 11 least least JJS A52264 1820 12 December December NNP A52264 1820 13 10 10 CD A52264 1820 14 . . . A52264 1821 1 14 14 CD A52264 1821 2 94 94 CD A52264 1821 3 00 00 NFP A52264 1821 4 Their -PRON- PRP$ A52264 1821 5 difference difference NN A52264 1821 6 is be VBZ A52264 1821 7 the the DT A52264 1821 8 distance distance NN A52264 1821 9 of of IN A52264 1821 10 the the DT A52264 1821 11 Tropicks Tropicks NNP A52264 1821 12 47 47 CD A52264 1821 13 06 06 CD A52264 1821 14 00 00 CD A52264 1821 15 Half half NN A52264 1821 16 that that WDT A52264 1821 17 the the DT A52264 1821 18 Suns Suns NNPS A52264 1821 19 greatest great JJS A52264 1821 20 declin declin NN A52264 1821 21 . . . A52264 1822 1 23 23 CD A52264 1822 2 53 53 CD A52264 1822 3 00 00 NFP A52264 1822 4 Who who WP A52264 1822 5 s s VBZ A52264 1822 6 's 's POS A52264 1822 7 difference difference NN A52264 1822 8 from from IN A52264 1822 9 the the DT A52264 1822 10 greatest great JJS A52264 1822 11 Altitude altitude NN A52264 1822 12 is be VBZ A52264 1822 13 the the DT A52264 1822 14 height height NN A52264 1822 15 of of IN A52264 1822 16 the the DT A52264 1822 17 Equator Equator NNP A52264 1822 18 38 38 CD A52264 1822 19 47 47 CD A52264 1822 20 00 00 CD A52264 1822 21 Who who WP A52264 1822 22 s s NNP A52264 1822 23 's 's POS A52264 1822 24 complement complement NN A52264 1822 25 is be VBZ A52264 1822 26 the the DT A52264 1822 27 Poles Poles NNPS A52264 1822 28 elevation elevation NN A52264 1822 29 51 51 CD A52264 1822 30 53 53 CD A52264 1822 31 00 00 CD A52264 1822 32 Probl Probl NNP A52264 1822 33 . . . A52264 1823 1 3 3 LS A52264 1823 2 . . . A52264 1824 1 The the DT A52264 1824 2 Suns Suns NNP A52264 1824 3 place place NN A52264 1824 4 and and CC A52264 1824 5 greatest great JJS A52264 1824 6 declination declination NN A52264 1824 7 given give VBN A52264 1824 8 to to IN A52264 1824 9 finde finde NNP A52264 1824 10 the the DT A52264 1824 11 declination declination NN A52264 1824 12 of of IN A52264 1824 13 any any DT A52264 1824 14 point point NN A52264 1824 15 of of IN A52264 1824 16 the the DT A52264 1824 17 Ecliptique Ecliptique NNP A52264 1824 18 . . . A52264 1825 1 IN in IN A52264 1825 2 this this DT A52264 1825 3 figure figure NN A52264 1825 4 let let VBD A52264 1825 5 DFHG DFHG NNP A52264 1825 6 denote denote VB A52264 1825 7 the the DT A52264 1825 8 Solsticiall Solsticiall NNP A52264 1825 9 Colure Colure NNP A52264 1825 10 , , , A52264 1825 11 FBAG fbag NN A52264 1825 12 the the DT A52264 1825 13 Equator equator NN A52264 1825 14 , , , A52264 1825 15 DAH DAH NNP A52264 1825 16 the the DT A52264 1825 17 Ecliptique Ecliptique NNP A52264 1825 18 , , , A52264 1825 19 I -PRON- PRP A52264 1825 20 the the DT A52264 1825 21 Pole Pole NNP A52264 1825 22 of of IN A52264 1825 23 the the DT A52264 1825 24 Ecliptique Ecliptique NNP A52264 1825 25 , , , A52264 1825 26 E e VB A52264 1825 27 the the DT A52264 1825 28 Pole Pole NNP A52264 1825 29 of of IN A52264 1825 30 the the DT A52264 1825 31 Equator Equator NNP A52264 1825 32 , , , A52264 1825 33 CEB CEB NNP A52264 1825 34 a a DT A52264 1825 35 Meridian meridian JJ A52264 1825 36 line line NN A52264 1825 37 passing pass VBG A52264 1825 38 from from IN A52264 1825 39 E e NN A52264 1825 40 through through IN A52264 1825 41 the the DT A52264 1825 42 Sun Sun NNP A52264 1825 43 at at IN A52264 1825 44 C C NNP A52264 1825 45 , , , A52264 1825 46 and and CC A52264 1825 47 falling fall VBG A52264 1825 48 upon upon IN A52264 1825 49 the the DT A52264 1825 50 Equator Equator NNP A52264 1825 51 FAG FAG NNP A52264 1825 52 with with IN A52264 1825 53 right right JJ A52264 1825 54 angles angle NNS A52264 1825 55 in in IN A52264 1825 56 the the DT A52264 1825 57 point point NN A52264 1825 58 B. B. NNP A52264 1826 1 Then then RB A52264 1826 2 is be VBZ A52264 1826 3 DAF DAF NNP A52264 1826 4 the the DT A52264 1826 5 angle angle NN A52264 1826 6 of of IN A52264 1826 7 the the DT A52264 1826 8 Suns Suns NNPS A52264 1826 9 greatest great JJS A52264 1826 10 declination declination NN A52264 1826 11 , , , A52264 1826 12 AC AC NNP A52264 1826 13 the the DT A52264 1826 14 Suns Suns NNP A52264 1826 15 distance distance NN A52264 1826 16 from from IN A52264 1826 17 Aries arie NNS A52264 1826 18 the the DT A52264 1826 19 next next JJ A52264 1826 20 Equinoctiall Equinoctiall NNP A52264 1826 21 point point NN A52264 1826 22 , , , A52264 1826 23 BC BC NNP A52264 1826 24 the the DT A52264 1826 25 declination declination NN A52264 1826 26 of of IN A52264 1826 27 the the DT A52264 1826 28 point point NN A52264 1826 29 sought seek VBN A52264 1826 30 . . . A52264 1827 1 Now now RB A52264 1827 2 suppose suppose VB A52264 1827 3 the the DT A52264 1827 4 sun sun NN A52264 1827 5 to to TO A52264 1827 6 be be VB A52264 1827 7 in in IN A52264 1827 8 00 00 CD A52264 1827 9 deg deg NN A52264 1827 10 . . . A52264 1828 1 of of IN A52264 1828 2 Gemini Gemini NNP A52264 1828 3 , , , A52264 1828 4 which which WDT A52264 1828 5 point point NN A52264 1828 6 is be VBZ A52264 1828 7 distant distant JJ A52264 1828 8 from from IN A52264 1828 9 the the DT A52264 1828 10 next next JJ A52264 1828 11 Equinoctiall Equinoctiall NNP A52264 1828 12 point point NN A52264 1828 13 60 60 CD A52264 1828 14 deg deg NN A52264 1828 15 . . . A52264 1829 1 and and CC A52264 1829 2 his -PRON- PRP$ A52264 1829 3 declination declination NN A52264 1829 4 be be VB A52264 1829 5 required require VBN A52264 1829 6 . . . A52264 1830 1 In in IN A52264 1830 2 the the DT A52264 1830 3 rectangled rectangled JJ A52264 1830 4 spherical spherical JJ A52264 1830 5 triangle triangle NN A52264 1830 6 we -PRON- PRP A52264 1830 7 have have VBP A52264 1830 8 known know VBN A52264 1830 9 , , , A52264 1830 10 1 1 CD A52264 1830 11 The the DT A52264 1830 12 hypothenusal hypothenusal NN A52264 1830 13 AC AC NNP A52264 1830 14 60 60 CD A52264 1830 15 deg deg NN A52264 1830 16 . . . A52264 1831 1 2 2 CD A52264 1831 2 The the DT A52264 1831 3 angle angle NN A52264 1831 4 at at IN A52264 1831 5 the the DT A52264 1831 6 base base NN A52264 1831 7 BAC BAC NNP A52264 1831 8 23 23 CD A52264 1831 9 deg deg NN A52264 1831 10 . . . A52264 1832 1 53 53 CD A52264 1832 2 min min NN A52264 1832 3 . . . A52264 1833 1 Hence hence RB A52264 1833 2 to to TO A52264 1833 3 finde finde VB A52264 1833 4 the the DT A52264 1833 5 perpendicular perpendicular JJ A52264 1833 6 BC BC NNP A52264 1833 7 , , , A52264 1833 8 by by IN A52264 1833 9 the the DT A52264 1833 10 8 8 CD A52264 1833 11 Case case NN A52264 1833 12 of of IN A52264 1833 13 right right JJ A52264 1833 14 angled angle VBN A52264 1833 15 sphericall sphericall NN A52264 1833 16 triangles triangle NNS A52264 1833 17 , , , A52264 1833 18 the the DT A52264 1833 19 analogie analogie NN A52264 1833 20 is be VBZ A52264 1833 21 , , , A52264 1833 22 As as IN A52264 1833 23 the the DT A52264 1833 24 Radius Radius NNP A52264 1833 25 , , , A52264 1833 26 90 90 CD A52264 1833 27 10.000000 10.000000 CD A52264 1833 28 To to IN A52264 1833 29 the the DT A52264 1833 30 sine sine NN A52264 1833 31 of of IN A52264 1833 32 BAC BAC NNP A52264 1833 33 , , , A52264 1833 34 23.53 23.53 CD A52264 1833 35 . . . A52264 1834 1 9.601222 9.601222 CD A52264 1834 2 So so RB A52264 1834 3 is be VBZ A52264 1834 4 the the DT A52264 1834 5 sine sine NN A52264 1834 6 of of IN A52264 1834 7 AC AC NNP A52264 1834 8 , , , A52264 1834 9 60 60 CD A52264 1834 10 9.937531 9.937531 CD A52264 1834 11         _SP A52264 1834 12 To to IN A52264 1834 13 the the DT A52264 1834 14 sine sine NN A52264 1834 15 of of IN A52264 1834 16 BC BC NNP A52264 1834 17 , , , A52264 1834 18 20.22 20.22 CD A52264 1834 19 9.538753 9.538753 CD A52264 1834 20 Probl Probl NNP A52264 1834 21 . . . A52264 1835 1 4 4 LS A52264 1835 2 . . . A52264 1836 1 The the DT A52264 1836 2 greatest great JJS A52264 1836 3 declination declination NN A52264 1836 4 of of IN A52264 1836 5 the the DT A52264 1836 6 Sun Sun NNP A52264 1836 7 , , , A52264 1836 8 and and CC A52264 1836 9 his -PRON- PRP$ A52264 1836 10 distance distance NN A52264 1836 11 from from IN A52264 1836 12 the the DT A52264 1836 13 next next JJ A52264 1836 14 Equinoctial equinoctial JJ A52264 1836 15 point point NN A52264 1836 16 given give VBN A52264 1836 17 , , , A52264 1836 18 to to TO A52264 1836 19 finde finde VB A52264 1836 20 his -PRON- PRP$ A52264 1836 21 right right JJ A52264 1836 22 ascension ascension NN A52264 1836 23 . . . A52264 1837 1 IN in IN A52264 1837 2 the the DT A52264 1837 3 Triangle Triangle NNP A52264 1837 4 ABC ABC NNP A52264 1837 5 of of IN A52264 1837 6 the the DT A52264 1837 7 former former JJ A52264 1837 8 diagram diagram NN A52264 1837 9 , , , A52264 1837 10 having have VBG A52264 1837 11 as as IN A52264 1837 12 before before RB A52264 1837 13 , , , A52264 1837 14 the the DT A52264 1837 15 angle angle NN A52264 1837 16 BAC BAC NNP A52264 1837 17 , , , A52264 1837 18 and and CC A52264 1837 19 the the DT A52264 1837 20 hypothenusal hypothenusal NN A52264 1837 21 AC AC NNP A52264 1837 22 , , , A52264 1837 23 the the DT A52264 1837 24 Right right JJ A52264 1837 25 Ascension ascension NN A52264 1837 26 of of IN A52264 1837 27 the the DT A52264 1837 28 sun sun NN A52264 1837 29 AB AB NNP A52264 1837 30 may may MD A52264 1837 31 be be VB A52264 1837 32 found find VBN A52264 1837 33 by by IN A52264 1837 34 the the DT A52264 1837 35 7 7 CD A52264 1837 36 Case Case NNP A52264 1837 37 of of IN A52264 1837 38 right right JJ A52264 1837 39 angled angle VBN A52264 1837 40 spherical spherical JJ A52264 1837 41 triangles triangle NNS A52264 1837 42 : : : A52264 1837 43 for for CC A52264 1837 44 As as IN A52264 1837 45 the the DT A52264 1837 46 Radius Radius NNP A52264 1837 47 , , , A52264 1837 48 90 90 CD A52264 1837 49 10 10 CD A52264 1837 50 . . . A52264 1838 1 ● ● NFP A52264 1838 2 00000 00000 CD A52264 1838 3 To to IN A52264 1838 4 the the DT A52264 1838 5 Co co NN A52264 1838 6 - - NN A52264 1838 7 sine sine NN A52264 1838 8 of of IN A52264 1838 9 CAB CAB NNP A52264 1838 10 , , , A52264 1838 11 23.53 23.53 CD A52264 1838 12 9.962299 9.962299 CD A52264 1838 13 So so RB A52264 1838 14 is be VBZ A52264 1838 15 the the DT A52264 1838 16 tangent tangent NN A52264 1838 17 of of IN A52264 1838 18 AC AC NNP A52264 1838 19 , , , A52264 1838 20 60 60 CD A52264 1838 21 10.238561 10.238561 CD A52264 1838 22 To to IN A52264 1838 23 the the DT A52264 1838 24 Tangent Tangent NNP A52264 1838 25 of of IN A52264 1838 26 AB AB NNP A52264 1838 27 , , , A52264 1838 28 57.80 57.80 CD A52264 1838 29 10.200860 10.200860 CD A52264 1838 30 Only only JJ A52264 1838 31 note note NN A52264 1838 32 , , , A52264 1838 33 that that IN A52264 1838 34 if if IN A52264 1838 35 the the DT A52264 1838 36 Right right JJ A52264 1838 37 Ascension ascension NN A52264 1838 38 of of IN A52264 1838 39 the the DT A52264 1838 40 point point NN A52264 1838 41 sought seek VBN A52264 1838 42 be be VB A52264 1838 43 in in IN A52264 1838 44 the the DT A52264 1838 45 second second JJ A52264 1838 46 Quadrant Quadrant NNP A52264 1838 47 ( ( -LRB- A52264 1838 48 as as IN A52264 1838 49 in in IN A52264 1838 50 ♋ ♋ NNP A52264 1838 51 ♌ ♌ NN A52264 1838 52 ♍ ♍ NNP A52264 1838 53 ) ) -RRB- A52264 1838 54 the the DT A52264 1838 55 complement complement NN A52264 1838 56 of of IN A52264 1838 57 the the DT A52264 1838 58 arch arch NN A52264 1838 59 found find VBD A52264 1838 60 to to IN A52264 1838 61 180 180 CD A52264 1838 62 is be VBZ A52264 1838 63 the the DT A52264 1838 64 arch arch NN A52264 1838 65 sought sought NN A52264 1838 66 . . . A52264 1839 1 If if IN A52264 1839 2 in in IN A52264 1839 3 the the DT A52264 1839 4 third third JJ A52264 1839 5 Quadrant Quadrant NNP A52264 1839 6 ( ( -LRB- A52264 1839 7 as as IN A52264 1839 8 in in IN A52264 1839 9 ♎ ♎ NNP A52264 1839 10 ♏ ♏ NNP A52264 1839 11 ♐ ♐ NNP A52264 1839 12 ) ) -RRB- A52264 1839 13 adde adde VB A52264 1839 14 a a DT A52264 1839 15 semicircle semicircle NN A52264 1839 16 to to IN A52264 1839 17 the the DT A52264 1839 18 arch arch NN A52264 1839 19 found find VBN A52264 1839 20 ; ; : A52264 1839 21 if if IN A52264 1839 22 in in IN A52264 1839 23 the the DT A52264 1839 24 last last JJ A52264 1839 25 Quadrant Quadrant NNP A52264 1839 26 , , , A52264 1839 27 substract substract VB A52264 1839 28 the the DT A52264 1839 29 arch arch NN A52264 1839 30 found find VBN A52264 1839 31 from from IN A52264 1839 32 360 360 CD A52264 1839 33 , , , A52264 1839 34 and and CC A52264 1839 35 their -PRON- PRP$ A52264 1839 36 difference difference NN A52264 1839 37 shall shall MD A52264 1839 38 be be VB A52264 1839 39 the the DT A52264 1839 40 Right Right NNP A52264 1839 41 Ascension Ascension NNP A52264 1839 42 sought seek VBD A52264 1839 43 . . . A52264 1840 1 Probl probl VB A52264 1840 2 . . . A52264 1841 1 5 5 CD A52264 1841 2 . . . A52264 1842 1 The the DT A52264 1842 2 Latitude Latitude NNP A52264 1842 3 of of IN A52264 1842 4 the the DT A52264 1842 5 place place NN A52264 1842 6 , , , A52264 1842 7 and and CC A52264 1842 8 declination declination NN A52264 1842 9 of of IN A52264 1842 10 the the DT A52264 1842 11 Sun Sun NNP A52264 1842 12 given give VBN A52264 1842 13 , , , A52264 1842 14 to to TO A52264 1842 15 finde finde VB A52264 1842 16 the the DT A52264 1842 17 Ascensionall Ascensionall NNP A52264 1842 18 difference difference NN A52264 1842 19 , , , A52264 1842 20 or or CC A52264 1842 21 time time NN A52264 1842 22 of of IN A52264 1842 23 the the DT A52264 1842 24 Suns Suns NNPS A52264 1842 25 rising rise VBG A52264 1842 26 before before RB A52264 1842 27 or or CC A52264 1842 28 after after IN A52264 1842 29 the the DT A52264 1842 30 houre houre NN A52264 1842 31 of of IN A52264 1842 32 six six CD A52264 1842 33 . . . A52264 1843 1 THe the DT A52264 1843 2 Ascensionall Ascensionall NNP A52264 1843 3 difference difference NN A52264 1843 4 is be VBZ A52264 1843 5 nothing nothing NN A52264 1843 6 else else RB A52264 1843 7 but but CC A52264 1843 8 the the DT A52264 1843 9 difference difference NN A52264 1843 10 between between IN A52264 1843 11 the the DT A52264 1843 12 Ascension ascension NN A52264 1843 13 of of IN A52264 1843 14 any any DT A52264 1843 15 point point NN A52264 1843 16 in in IN A52264 1843 17 the the DT A52264 1843 18 Ecliptique Ecliptique NNP A52264 1843 19 in in IN A52264 1843 20 a a DT A52264 1843 21 right right JJ A52264 1843 22 Sphere Sphere NNP A52264 1843 23 , , , A52264 1843 24 and and CC A52264 1843 25 the the DT A52264 1843 26 ascension ascension NN A52264 1843 27 of of IN A52264 1843 28 the the DT A52264 1843 29 same same JJ A52264 1843 30 point point NN A52264 1843 31 in in IN A52264 1843 32 an an DT A52264 1843 33 oblique oblique JJ A52264 1843 34 Sphere Sphere NNP A52264 1843 35 . . . A52264 1844 1 As as IN A52264 1844 2 in in IN A52264 1844 3 the the DT A52264 1844 4 annexed annex VBN A52264 1844 5 Diagram Diagram NNP A52264 1844 6 , , , A52264 1844 7 AGEV AGEV NNP A52264 1844 8 represents represent VBZ A52264 1844 9 the the DT A52264 1844 10 Meridian Meridian NNP A52264 1844 11 , , , A52264 1844 12 EMT EMT NNP A52264 1844 13 the the DT A52264 1844 14 Horizon Horizon NNP A52264 1844 15 , , , A52264 1844 16 GMCV GMCV NNP A52264 1844 17 the the DT A52264 1844 18 Equator equator NN A52264 1844 19 , , , A52264 1844 20 A a DT A52264 1844 21 the the DT A52264 1844 22 North North NNP A52264 1844 23 Pole Pole NNP A52264 1844 24 , , , A52264 1844 25 VT VT NNP A52264 1844 26 the the DT A52264 1844 27 complement complement NN A52264 1844 28 of of IN A52264 1844 29 the the DT A52264 1844 30 Poles Poles NNPS A52264 1844 31 elevation elevation NN A52264 1844 32 , , , A52264 1844 33 BC BC NNP A52264 1844 34 the the DT A52264 1844 35 Suns Suns NNP A52264 1844 36 declination declination NN A52264 1844 37 , , , A52264 1844 38 DB DB NNP A52264 1844 39 an an DT A52264 1844 40 arch arch NN A52264 1844 41 of of IN A52264 1844 42 the the DT A52264 1844 43 Ecliptique Ecliptique NNP A52264 1844 44 , , , A52264 1844 45 DC DC NNP A52264 1844 46 the the DT A52264 1844 47 Right Right NNP A52264 1844 48 Ascension ascension NN A52264 1844 49 , , , A52264 1844 50 MC MC NNP A52264 1844 51 the the DT A52264 1844 52 Ascensionall Ascensionall NNP A52264 1844 53 difference difference NN A52264 1844 54 . . . A52264 1845 1 Then then RB A52264 1845 2 in in IN A52264 1845 3 the the DT A52264 1845 4 right right NN A52264 1845 5 angled angle VBN A52264 1845 6 triangle triangle NNP A52264 1845 7 BMC BMC NNP A52264 1845 8 , , , A52264 1845 9 we -PRON- PRP A52264 1845 10 have have VBP A52264 1845 11 limited limit VBN A52264 1845 12 , , , A52264 1845 13 1 1 CD A52264 1845 14 The the DT A52264 1845 15 angle angle NN A52264 1845 16 BMC bmc NN A52264 1845 17 , , , A52264 1845 18 the the DT A52264 1845 19 complement complement NN A52264 1845 20 of of IN A52264 1845 21 the the DT A52264 1845 22 Poles Poles NNPS A52264 1845 23 elevation elevation NN A52264 1845 24 , , , A52264 1845 25 38 38 CD A52264 1845 26 deg deg NN A52264 1845 27 . . . A52264 1846 1 47 47 CD A52264 1846 2 min min NN A52264 1846 3 . . . A52264 1847 1 2 2 CD A52264 1847 2 The the DT A52264 1847 3 perpendicular perpendicular JJ A52264 1847 4 BC BC NNP A52264 1847 5 , , , A52264 1847 6 the the DT A52264 1847 7 Suns Suns NNP A52264 1847 8 Declination Declination NNP A52264 1847 9 20 20 CD A52264 1847 10 deg deg NN A52264 1847 11 . . . A52264 1848 1 22 22 CD A52264 1848 2 min min NN A52264 1848 3 . . . A52264 1849 1 Hence hence RB A52264 1849 2 to to IN A52264 1849 3 finde finde NN A52264 1849 4 MC MC NNP A52264 1849 5 the the DT A52264 1849 6 Ascensional Ascensional NNP A52264 1849 7 difference difference NN A52264 1849 8 , , , A52264 1849 9 by by IN A52264 1849 10 the the DT A52264 1849 11 6 6 CD A52264 1849 12 Case case NN A52264 1849 13 of of IN A52264 1849 14 right right RB A52264 1849 15 angled angle VBN A52264 1849 16 Spherical Spherical NNP A52264 1849 17 Triangles Triangles NNPS A52264 1849 18 , , , A52264 1849 19 the the DT A52264 1849 20 Proportion proportion NN A52264 1849 21 is be VBZ A52264 1849 22 , , , A52264 1849 23 As as IN A52264 1849 24 the the DT A52264 1849 25 Radius Radius NNP A52264 1849 26 , , , A52264 1849 27 90 90 CD A52264 1849 28 10.000000 10.000000 CD A52264 1849 29 To to IN A52264 1849 30 the the DT A52264 1849 31 tangent tangent NN A52264 1849 32 of of IN A52264 1849 33 BC BC NNP A52264 1849 34 , , , A52264 1849 35 20.22 20.22 CD A52264 1849 36 9.566231 9.566231 CD A52264 1849 37 So so RB A52264 1849 38 is be VBZ A52264 1849 39 co co JJ A52264 1849 40 - - NN A52264 1849 41 tangent tangent NN A52264 1849 42 of of IN A52264 1849 43 BMC BMC NNP A52264 1849 44 , , , A52264 1849 45 38.47 38.47 CD A52264 1849 46 10.099861 10.099861 CD A52264 1849 47 To to IN A52264 1849 48 the the DT A52264 1849 49 sine sine NN A52264 1849 50 of of IN A52264 1849 51 MC MC NNP A52264 1849 52 , , , A52264 1849 53 27.62 27.62 CD A52264 1849 54 9.666092 9.666092 CD A52264 1849 55 Probl Probl NNP A52264 1849 56 . . . A52264 1850 1 6 6 CD A52264 1850 2 . . . A52264 1851 1 The the DT A52264 1851 2 Latitude Latitude NNP A52264 1851 3 of of IN A52264 1851 4 the the DT A52264 1851 5 place place NN A52264 1851 6 , , , A52264 1851 7 and and CC A52264 1851 8 the the DT A52264 1851 9 Suns Suns NNPS A52264 1851 10 Declination Declination NNP A52264 1851 11 given give VBN A52264 1851 12 , , , A52264 1851 13 to to TO A52264 1851 14 finde finde VB A52264 1851 15 his -PRON- PRP$ A52264 1851 16 Amplitude Amplitude NNP A52264 1851 17 . . . A52264 1852 1 THe the DT A52264 1852 2 Suns Suns NNPS A52264 1852 3 Amplitude Amplitude NNP A52264 1852 4 is be VBZ A52264 1852 5 an an DT A52264 1852 6 arch arch NN A52264 1852 7 of of IN A52264 1852 8 the the DT A52264 1852 9 Horizon Horizon NNP A52264 1852 10 intercepted intercept VBN A52264 1852 11 between between IN A52264 1852 12 the the DT A52264 1852 13 Equator Equator NNP A52264 1852 14 , , , A52264 1852 15 and and CC A52264 1852 16 the the DT A52264 1852 17 point point NN A52264 1852 18 of of IN A52264 1852 19 rising rise VBG A52264 1852 20 , , , A52264 1852 21 that that RB A52264 1852 22 is is RB A52264 1852 23 , , , A52264 1852 24 in in IN A52264 1852 25 the the DT A52264 1852 26 preceding precede VBG A52264 1852 27 Diagram Diagram NNP A52264 1852 28 the the DT A52264 1852 29 arch arch JJ A52264 1852 30 MB mb NN A52264 1852 31 , , , A52264 1852 32 therefore therefore RB A52264 1852 33 in in IN A52264 1852 34 the the DT A52264 1852 35 right right NN A52264 1852 36 angled angle VBN A52264 1852 37 Sphericall Sphericall NNP A52264 1852 38 triangle triangle NN A52264 1852 39 MBC MBC NNP A52264 1852 40 , , , A52264 1852 41 having have VBG A52264 1852 42 the the DT A52264 1852 43 angle angle NN A52264 1852 44 BMC BMC NNP A52264 1852 45 the the DT A52264 1852 46 height height NN A52264 1852 47 of of IN A52264 1852 48 the the DT A52264 1852 49 Equator Equator NNP A52264 1852 50 , , , A52264 1852 51 38 38 CD A52264 1852 52 deg deg NN A52264 1852 53 . . . A52264 1853 1 47 47 CD A52264 1853 2 min min NN A52264 1853 3 . . . A52264 1854 1 and and CC A52264 1854 2 BC BC NNP A52264 1854 3 the the DT A52264 1854 4 Suns Suns NNP A52264 1854 5 declination declination NN A52264 1854 6 20 20 CD A52264 1854 7 de de NN A52264 1854 8 . . . A52264 1855 1 22 22 CD A52264 1855 2 m. m. NN A52264 1855 3 given give VBN A52264 1855 4 , , , A52264 1855 5 the the DT A52264 1855 6 hypothenusal hypothenusal NN A52264 1855 7 MB MB NNP A52264 1855 8 may may MD A52264 1855 9 be be VB A52264 1855 10 found find VBN A52264 1855 11 by by IN A52264 1855 12 the the DT A52264 1855 13 5 5 CD A52264 1855 14 Case case NN A52264 1855 15 of of IN A52264 1855 16 right right JJ A52264 1855 17 angled angle VBN A52264 1855 18 sphericall sphericall NN A52264 1855 19 triangles triangle NNS A52264 1855 20 : : : A52264 1855 21 for for CC A52264 1855 22 As as IN A52264 1855 23 the the DT A52264 1855 24 sine sine NN A52264 1855 25 of of IN A52264 1855 26 BMC BMC NNP A52264 1855 27 , , , A52264 1855 28 38.47 38.47 CD A52264 1855 29 9.793863 9.793863 CD A52264 1855 30 Is be VBZ A52264 1855 31 to to IN A52264 1855 32 the the DT A52264 1855 33 Radius Radius NNP A52264 1855 34 , , , A52264 1855 35 90 90 CD A52264 1855 36 10.000000 10.000000 CD A52264 1855 37 So so RB A52264 1855 38 is be VBZ A52264 1855 39 the the DT A52264 1855 40 sine sine NN A52264 1855 41 of of IN A52264 1855 42 BC BC NNP A52264 1855 43 , , , A52264 1855 44 20.22 20.22 CD A52264 1855 45 9.538606 9.538606 CD A52264 1855 46 To to IN A52264 1855 47 the the DT A52264 1855 48 sine sine NN A52264 1855 49 of of IN A52264 1855 50 MB MB NNP A52264 1855 51 , , , A52264 1855 52 33.75 33.75 CD A52264 1855 53 9.744743 9.744743 CD A52264 1855 54 Probl Probl NNP A52264 1855 55 . . . A52264 1856 1 7 7 LS A52264 1856 2 . . . A52264 1857 1 The the DT A52264 1857 2 Latitude Latitude NNP A52264 1857 3 of of IN A52264 1857 4 the the DT A52264 1857 5 place place NN A52264 1857 6 , , , A52264 1857 7 and and CC A52264 1857 8 the the DT A52264 1857 9 Suns Suns NNPS A52264 1857 10 Declination Declination NNP A52264 1857 11 given give VBN A52264 1857 12 , , , A52264 1857 13 to to TO A52264 1857 14 finde finde VB A52264 1857 15 the the DT A52264 1857 16 time time NN A52264 1857 17 when when WRB A52264 1857 18 he -PRON- PRP A52264 1857 19 will will MD A52264 1857 20 be be VB A52264 1857 21 East East NNP A52264 1857 22 or or CC A52264 1857 23 West West NNP A52264 1857 24 . . . A52264 1858 1 LEt LEt VBD A52264 1858 2 ABCD ABCD NNP A52264 1858 3 in in IN A52264 1858 4 the the DT A52264 1858 5 annexed annex VBN A52264 1858 6 diagram diagram NN A52264 1858 7 represent represent VBP A52264 1858 8 the the DT A52264 1858 9 Meridian Meridian NNP A52264 1858 10 , , , A52264 1858 11 BD BD NNP A52264 1858 12 the the DT A52264 1858 13 Horizon Horizon NNP A52264 1858 14 , , , A52264 1858 15 FG FG NNP A52264 1858 16 the the DT A52264 1858 17 Equator Equator NNP A52264 1858 18 , , , A52264 1858 19 HNK HNK NNP A52264 1858 20 an an DT A52264 1858 21 arch arch NN A52264 1858 22 of of IN A52264 1858 23 a a DT A52264 1858 24 Meridian Meridian NNP A52264 1858 25 , , , A52264 1858 26 AC AC NNP A52264 1858 27 the the DT A52264 1858 28 Azimuth Azimuth NNP A52264 1858 29 of of IN A52264 1858 30 East East NNP A52264 1858 31 and and CC A52264 1858 32 West West NNP A52264 1858 33 , , , A52264 1858 34 or or CC A52264 1858 35 first first JJ A52264 1858 36 Verticall Verticall NNP A52264 1858 37 , , , A52264 1858 38 EM EM NNP A52264 1858 39 , , , A52264 1858 40 a a DT A52264 1858 41 parallel parallel NN A52264 1858 42 of of IN A52264 1858 43 declination declination NN A52264 1858 44 . . . A52264 1859 1 Then then RB A52264 1859 2 in in IN A52264 1859 3 the the DT A52264 1859 4 right right NN A52264 1859 5 angled angle VBN A52264 1859 6 sphericall sphericall NN A52264 1859 7 triangle triangle NN A52264 1859 8 AHN AHN NNP A52264 1859 9 , , , A52264 1859 10 we -PRON- PRP A52264 1859 11 have have VBP A52264 1859 12 known know VBN A52264 1859 13 , , , A52264 1859 14 1 1 CD A52264 1859 15 The the DT A52264 1859 16 perpendicular perpendicular JJ A52264 1859 17 AH ah NN A52264 1859 18 , , , A52264 1859 19 the the DT A52264 1859 20 complement complement NN A52264 1859 21 of of IN A52264 1859 22 the the DT A52264 1859 23 Poles Poles NNPS A52264 1859 24 elevation elevation NN A52264 1859 25 , , , A52264 1859 26 38 38 CD A52264 1859 27 deg deg NN A52264 1859 28 . . . A52264 1860 1 47 47 CD A52264 1860 2 mi mi NNP A52264 1860 3 . . . A52264 1861 1 2 2 CD A52264 1861 2 The the DT A52264 1861 3 hypothenusal hypothenusal NN A52264 1861 4 HN HN NNP A52264 1861 5 , , , A52264 1861 6 the the DT A52264 1861 7 complement complement NN A52264 1861 8 of of IN A52264 1861 9 the the DT A52264 1861 10 Suns Suns NNP A52264 1861 11 declination declination NN A52264 1861 12 , , , A52264 1861 13 69 69 CD A52264 1861 14 deg deg NN A52264 1861 15 . . . A52264 1862 1 78 78 CD A52264 1862 2 m. m. NN A52264 1862 3 Hence hence RB A52264 1862 4 the the DT A52264 1862 5 angle angle NN A52264 1862 6 AHN ahn NN A52264 1862 7 may may MD A52264 1862 8 be be VB A52264 1862 9 found find VBN A52264 1862 10 by by IN A52264 1862 11 the the DT A52264 1862 12 13 13 CD A52264 1862 13 Case case NN A52264 1862 14 of of IN A52264 1862 15 right right JJ A52264 1862 16 angled angle VBN A52264 1862 17 sphericall sphericall NN A52264 1862 18 triangles triangle NNS A52264 1862 19 . . . A52264 1863 1 As as IN A52264 1863 2 the the DT A52264 1863 3 Radius Radius NNP A52264 1863 4 90 90 CD A52264 1863 5 10,000000 10,000000 NNPS A52264 1863 6 To to IN A52264 1863 7 the the DT A52264 1863 8 tangent tangent NN A52264 1863 9 of of IN A52264 1863 10 AH AH NNP A52264 1863 11 38.47 38.47 CD A52264 1863 12 . . . A52264 1864 1 9.900138 9.900138 CD A52264 1864 2 So so RB A52264 1864 3 is be VBZ A52264 1864 4 the the DT A52264 1864 5 co co JJ A52264 1864 6 - - JJ A52264 1864 7 tangent tangent JJ A52264 1864 8 HN HN NNP A52264 1864 9 69.78 69.78 CD A52264 1864 10 . . . A52264 1865 1 9.566231 9.566231 CD A52264 1865 2 To to IN A52264 1865 3 the the DT A52264 1865 4 co co NN A52264 1865 5 - - NN A52264 1865 6 sine sine NN A52264 1865 7 of of IN A52264 1865 8 AHN AHN NNP A52264 1865 9 72.98 72.98 CD A52264 1865 10 . . . A52264 1866 1 9.466369 9.466369 CD A52264 1866 2 Who who WP A52264 1866 3 s s VBZ A52264 1866 4 's 's POS A52264 1866 5 complement complement NN A52264 1866 6 NHZ NHZ NNP A52264 1866 7 17 17 CD A52264 1866 8 degr degr NN A52264 1866 9 . . . A52264 1867 1 2 2 CD A52264 1867 2 min min NNP A52264 1867 3 . . . A52264 1868 1 being be VBG A52264 1868 2 converted convert VBN A52264 1868 3 into into IN A52264 1868 4 time time NN A52264 1868 5 , , , A52264 1868 6 giveth giveth VBZ A52264 1868 7 one one CD A52264 1868 8 houre houre NN A52264 1868 9 , , , A52264 1868 10 13 13 CD A52264 1868 11 minutes minute NNS A52264 1868 12 , , , A52264 1868 13 or or CC A52264 1868 14 centesmes centesme NNS A52264 1868 15 of of IN A52264 1868 16 an an DT A52264 1868 17 hour hour NN A52264 1868 18 , , , A52264 1868 19 and and CC A52264 1868 20 so so RB A52264 1868 21 much much JJ A52264 1868 22 is be VBZ A52264 1868 23 it -PRON- PRP A52264 1868 24 after after IN A52264 1868 25 six six CD A52264 1868 26 in in IN A52264 1868 27 the the DT A52264 1868 28 morning morning NN A52264 1868 29 when when WRB A52264 1868 30 the the DT A52264 1868 31 Sun Sun NNP A52264 1868 32 will will MD A52264 1868 33 be be VB A52264 1868 34 due due JJ A52264 1868 35 East East NNP A52264 1868 36 , , , A52264 1868 37 and and CC A52264 1868 38 before before IN A52264 1868 39 six six CD A52264 1868 40 at at IN A52264 1868 41 night night NN A52264 1868 42 , , , A52264 1868 43 when when WRB A52264 1868 44 he -PRON- PRP A52264 1868 45 will will MD A52264 1868 46 be be VB A52264 1868 47 due due JJ A52264 1868 48 West West NNP A52264 1868 49 . . . A52264 1869 1 Probl probl VB A52264 1869 2 . . . A52264 1870 1 8 8 LS A52264 1870 2 . . . A52264 1871 1 The the DT A52264 1871 2 Latitude Latitude NNP A52264 1871 3 of of IN A52264 1871 4 the the DT A52264 1871 5 place place NN A52264 1871 6 and and CC A52264 1871 7 Declination declination NN A52264 1871 8 of of IN A52264 1871 9 the the DT A52264 1871 10 Sun Sun NNP A52264 1871 11 given give VBN A52264 1871 12 , , , A52264 1871 13 to to TO A52264 1871 14 finde finde VB A52264 1871 15 his -PRON- PRP$ A52264 1871 16 Altitude altitude NN A52264 1871 17 when when WRB A52264 1871 18 he -PRON- PRP A52264 1871 19 cometh cometh VBP A52264 1871 20 to to TO A52264 1871 21 be be VB A52264 1871 22 due due JJ A52264 1871 23 East East NNP A52264 1871 24 or or CC A52264 1871 25 west west NN A52264 1871 26 . . . A52264 1872 1 IN in IN A52264 1872 2 the the DT A52264 1872 3 right right NN A52264 1872 4 angled angle VBN A52264 1872 5 sphericall sphericall NN A52264 1872 6 triangle triangle NN A52264 1872 7 NQZ NQZ NNP A52264 1872 8 of of IN A52264 1872 9 the the DT A52264 1872 10 last last JJ A52264 1872 11 Diagram Diagram NNP A52264 1872 12 , , , A52264 1872 13 we -PRON- PRP A52264 1872 14 have have VBP A52264 1872 15 limited limit VBN A52264 1872 16 . . . A52264 1873 1 1 1 LS A52264 1873 2 . . . A52264 1874 1 The the DT A52264 1874 2 perpendicular perpendicular JJ A52264 1874 3 QN QN NNP A52264 1874 4 , , , A52264 1874 5 the the DT A52264 1874 6 Suns Suns NNP A52264 1874 7 declination declination NN A52264 1874 8 . . . A52264 1875 1 2 2 LS A52264 1875 2 . . . A52264 1876 1 The the DT A52264 1876 2 angle angle NN A52264 1876 3 at at IN A52264 1876 4 the the DT A52264 1876 5 base base NN A52264 1876 6 NZQ NZQ NNP A52264 1876 7 , , , A52264 1876 8 the the DT A52264 1876 9 Poles Poles NNPS A52264 1876 10 elevation elevation VBP A52264 1876 11 51 51 CD A52264 1876 12 degr degr NN A52264 1876 13 . . . A52264 1877 1 53 53 CD A52264 1877 2 min min NN A52264 1877 3 . . . A52264 1878 1 Hence hence RB A52264 1878 2 to to TO A52264 1878 3 finde finde VB A52264 1878 4 the the DT A52264 1878 5 hypothenusal hypothenusal NNP A52264 1878 6 NZ NZ NNP A52264 1878 7 , , , A52264 1878 8 by by IN A52264 1878 9 the the DT A52264 1878 10 fift fift NN A52264 1878 11 Case case NN A52264 1878 12 of of IN A52264 1878 13 right right JJ A52264 1878 14 angled angle VBN A52264 1878 15 sphericall sphericall NN A52264 1878 16 Triangles Triangles NNP A52264 1878 17 , , , A52264 1878 18 the the DT A52264 1878 19 proportion proportion NN A52264 1878 20 is be VBZ A52264 1878 21 ; ; : A52264 1878 22 As as IN A52264 1878 23 the the DT A52264 1878 24 sine sine NN A52264 1878 25 of of IN A52264 1878 26 the the DT A52264 1878 27 ang ang NNP A52264 1878 28 . . . A52264 1879 1 NZQ NZQ NNP A52264 1879 2 51.53 51.53 CD A52264 1879 3 . . . A52264 1880 1 9.893725 9.893725 CD A52264 1880 2 Is be VBZ A52264 1880 3 to to IN A52264 1880 4 the the DT A52264 1880 5 Radius Radius NNP A52264 1880 6 90 90 CD A52264 1880 7 10.000000 10.000000 CD A52264 1880 8 So so RB A52264 1880 9 is be VBZ A52264 1880 10 the the DT A52264 1880 11 sine sine NN A52264 1880 12 of of IN A52264 1880 13 NQ NQ NNP A52264 1880 14 20.22 20.22 CD A52264 1880 15 . . . A52264 1881 1 9.538606 9.538606 CD A52264 1881 2 To to IN A52264 1881 3 the the DT A52264 1881 4 sine sine NN A52264 1881 5 of of IN A52264 1881 6 NZ NZ NNP A52264 1881 7 26.20 26.20 CD A52264 1881 8 . . . A52264 1882 1 9.644881 9.644881 CD A52264 1882 2 Probl Probl NNP A52264 1882 3 . . . A52264 1883 1 9 9 CD A52264 1883 2 . . . A52264 1884 1 The the DT A52264 1884 2 Latitude Latitude NNP A52264 1884 3 of of IN A52264 1884 4 the the DT A52264 1884 5 place place NN A52264 1884 6 , , , A52264 1884 7 and and CC A52264 1884 8 Declination declination NN A52264 1884 9 of of IN A52264 1884 10 the the DT A52264 1884 11 Sun Sun NNP A52264 1884 12 given give VBN A52264 1884 13 , , , A52264 1884 14 to to TO A52264 1884 15 finde finde VB A52264 1884 16 the the DT A52264 1884 17 Suns Suns NNPS A52264 1884 18 Azimuth Azimuth NNP A52264 1884 19 at at IN A52264 1884 20 the the DT A52264 1884 21 hour hour NN A52264 1884 22 of of IN A52264 1884 23 six six CD A52264 1884 24 . . . A52264 1885 1 IN in IN A52264 1885 2 the the DT A52264 1885 3 right right NN A52264 1885 4 angled angle VBN A52264 1885 5 sphericall sphericall NN A52264 1885 6 triangle triangle NN A52264 1885 7 AIH aih NN A52264 1885 8 of of IN A52264 1885 9 the the DT A52264 1885 10 seventh seventh JJ A52264 1885 11 Probleme Probleme NNP A52264 1885 12 , , , A52264 1885 13 we -PRON- PRP A52264 1885 14 have have VBP A52264 1885 15 known know VBN A52264 1885 16 : : : A52264 1885 17 1 1 CD A52264 1885 18 . . . A52264 1886 1 The the DT A52264 1886 2 base base NN A52264 1886 3 AH ah NN A52264 1886 4 , , , A52264 1886 5 the the DT A52264 1886 6 complement complement NN A52264 1886 7 of of IN A52264 1886 8 the the DT A52264 1886 9 Poles Poles NNPS A52264 1886 10 elevation elevation VBP A52264 1886 11 38 38 CD A52264 1886 12 degr degr NN A52264 1886 13 . . . A52264 1887 1 47 47 CD A52264 1887 2 min min NN A52264 1887 3 . . . A52264 1888 1 and and CC A52264 1888 2 the the DT A52264 1888 3 perpendicular perpendicular JJ A52264 1888 4 IH IH NNP A52264 1888 5 , , , A52264 1888 6 the the DT A52264 1888 7 complement complement NN A52264 1888 8 of of IN A52264 1888 9 the the DT A52264 1888 10 Suns Suns NNPS A52264 1888 11 declination declination NN A52264 1888 12 69 69 CD A52264 1888 13 degr degr NN A52264 1888 14 . . . A52264 1889 1 78 78 CD A52264 1889 2 min min NN A52264 1889 3 . . . A52264 1890 1 Hence hence RB A52264 1890 2 to to TO A52264 1890 3 finde finde VB A52264 1890 4 the the DT A52264 1890 5 angle angle NN A52264 1890 6 at at IN A52264 1890 7 the the DT A52264 1890 8 base base NN A52264 1890 9 HAI HAI NNP A52264 1890 10 the the DT A52264 1890 11 suns sun NNS A52264 1890 12 Azimuth Azimuth NNP A52264 1890 13 at at IN A52264 1890 14 the the DT A52264 1890 15 houre houre NN A52264 1890 16 of of IN A52264 1890 17 six six CD A52264 1890 18 , , , A52264 1890 19 by by IN A52264 1890 20 the the DT A52264 1890 21 11 11 CD A52264 1890 22 Case case NN A52264 1890 23 of of IN A52264 1890 24 right right JJ A52264 1890 25 angled angle VBN A52264 1890 26 spherical spherical JJ A52264 1890 27 triangles triangle NNS A52264 1890 28 , , , A52264 1890 29 the the DT A52264 1890 30 proportion proportion NN A52264 1890 31 is be VBZ A52264 1890 32 , , , A52264 1890 33 As as IN A52264 1890 34 the the DT A52264 1890 35 Radius Radius NNP A52264 1890 36 , , , A52264 1890 37 90 90 CD A52264 1890 38 10.000000 10.000000 CD A52264 1890 39 To to IN A52264 1890 40 the the DT A52264 1890 41 sine sine NN A52264 1890 42 of of IN A52264 1890 43 AH AH NNP A52264 1890 44 , , , A52264 1890 45 38.47 38.47 CD A52264 1890 46 9.793863 9.793863 CD A52264 1890 47 So so IN A52264 1890 48 the the DT A52264 1890 49 co co JJ A52264 1890 50 - - NN A52264 1890 51 tangent tangent NN A52264 1890 52 of of IN A52264 1890 53 HI HI NNP A52264 1890 54 , , , A52264 1890 55 69.78 69.78 CD A52264 1890 56 9.566231 9.566231 CD A52264 1890 57 To to IN A52264 1890 58 the the DT A52264 1890 59 co co NN A52264 1890 60 - - NN A52264 1890 61 tangent tangent NN A52264 1890 62 of of IN A52264 1890 63 HAI HAI NNP A52264 1890 64 , , , A52264 1890 65 77 77 CD A52264 1890 66 . . . A52264 1891 1 9.360094 9.360094 CD A52264 1891 2 Probl Probl NNP A52264 1891 3 . . . A52264 1892 1 10 10 CD A52264 1892 2 . . . A52264 1893 1 The the DT A52264 1893 2 Poles Poles NNPS A52264 1893 3 elevation elevation NN A52264 1893 4 , , , A52264 1893 5 with with IN A52264 1893 6 the the DT A52264 1893 7 Suns Suns NNPS A52264 1893 8 Altitude Altitude NNP A52264 1893 9 and and CC A52264 1893 10 Declination Declination NNP A52264 1893 11 given give VBN A52264 1893 12 , , , A52264 1893 13 to to TO A52264 1893 14 finde finde VB A52264 1893 15 the the DT A52264 1893 16 Suns Suns NNPS A52264 1893 17 Azimuth Azimuth NNP A52264 1893 18 . . . A52264 1894 1 IN in IN A52264 1894 2 the the DT A52264 1894 3 oblique oblique NN A52264 1894 4 angled angle VBN A52264 1894 5 Spherical spherical JJ A52264 1894 6 triangle triangle NN A52264 1894 7 AHS AHS NNP A52264 1894 8 , , , A52264 1894 9 in in IN A52264 1894 10 the the DT A52264 1894 11 Diagram Diagram NNP A52264 1894 12 of of IN A52264 1894 13 the the DT A52264 1894 14 seventh seventh JJ A52264 1894 15 Probleme Probleme NNP A52264 1894 16 , , , A52264 1894 17 we -PRON- PRP A52264 1894 18 have have VBP A52264 1894 19 known know VBN A52264 1894 20 , , , A52264 1894 21 the the DT A52264 1894 22 side side NN A52264 1894 23 AH AH NNP A52264 1894 24 , , , A52264 1894 25 the the DT A52264 1894 26 complement complement NN A52264 1894 27 of of IN A52264 1894 28 the the DT A52264 1894 29 Poles Poles NNPS A52264 1894 30 elevation elevation NN A52264 1894 31 , , , A52264 1894 32 38 38 CD A52264 1894 33 deg deg NN A52264 1894 34 . . . A52264 1895 1 47 47 CD A52264 1895 2 min min NN A52264 1895 3 . . . A52264 1896 1 HS HS NNP A52264 1896 2 , , , A52264 1896 3 the the DT A52264 1896 4 complement complement NN A52264 1896 5 of of IN A52264 1896 6 the the DT A52264 1896 7 Suns Suns NNP A52264 1896 8 declination declination NN A52264 1896 9 , , , A52264 1896 10 74 74 CD A52264 1896 11 deg deg NN A52264 1896 12 . . . A52264 1897 1 83 83 CD A52264 1897 2 min min NN A52264 1897 3 . . . A52264 1898 1 And and CC A52264 1898 2 the the DT A52264 1898 3 side side NN A52264 1898 4 SA SA NNP A52264 1898 5 , , , A52264 1898 6 the the DT A52264 1898 7 complement complement NN A52264 1898 8 of of IN A52264 1898 9 the the DT A52264 1898 10 Suns Suns NNPS A52264 1898 11 altitude altitude NN A52264 1898 12 , , , A52264 1898 13 57 57 CD A52264 1898 14 deg deg NN A52264 1898 15 . . . A52264 1899 1 53 53 CD A52264 1899 2 min min NNP A52264 1899 3 , , , A52264 1899 4 to to TO A52264 1899 5 finde finde VB A52264 1899 6 the the DT A52264 1899 7 angle angle NN A52264 1899 8 SAH sah NN A52264 1899 9 : : : A52264 1899 10 Now now RB A52264 1899 11 then then RB A52264 1899 12 , , , A52264 1899 13 by by IN A52264 1899 14 the the DT A52264 1899 15 11 11 CD A52264 1899 16 Case Case NNP A52264 1899 17 of of IN A52264 1899 18 Oblique Oblique NNP A52264 1899 19 angled angle VBD A52264 1899 20 Sphericall Sphericall NNP A52264 1899 21 Triangles Triangles NNP A52264 1899 22 , , , A52264 1899 23 I -PRON- PRP A52264 1899 24 work work VBP A52264 1899 25 as as IN A52264 1899 26 is be VBZ A52264 1899 27 there there RB A52264 1899 28 directed direct VBN A52264 1899 29 . . . A52264 1900 1 SH SH NNP A52264 1900 2 , , , A52264 1900 3 74.83 74.83 CD A52264 1900 4         _SP A52264 1900 5 HA HA NNP A52264 1900 6 , , , A52264 1900 7 38,47 38,47 CD A52264 1900 8 9.793863 9.793863 CD A52264 1900 9     _SP A52264 1900 10 SA SA NNP A52264 1900 11 , , , A52264 1900 12 57.53 57.53 CD A52264 1900 13 9 9 CD A52264 1900 14 . . . A52264 1901 1 9 9 CD A52264 1901 2 ● ● CD A52264 1901 3 6174 6174 CD A52264 1901 4             _SP A52264 1901 5 Summe Summe NNP A52264 1901 6 of of IN A52264 1901 7 the the DT A52264 1901 8 sides side NNS A52264 1901 9 170.83 170.83 CD A52264 1901 10 19.720037 19.720037 CD A52264 1901 11 Halfe halfe NN A52264 1901 12 summe summe NN A52264 1901 13 85 85 CD A52264 1901 14 . . . A52264 1902 1 41 41 CD A52264 1902 2 . . . A52264 1903 1 50 50 CD A52264 1903 2                 _SP A52264 1903 3 Dif Dif NNP A52264 1903 4 . . . A52264 1904 1 of of IN A52264 1904 2 HA HA NNP A52264 1904 3 & & CC A52264 1904 4 half half NN A52264 1904 5 sum sum NN A52264 1904 6 , , , A52264 1904 7 46.91.50 46.91.50 NNP A52264 1904 8 9.863737 9.863737 CD A52264 1904 9 Dif Dif NNP A52264 1904 10 . . . A52264 1905 1 of of IN A52264 1905 2 SA SA NNP A52264 1905 3 & & CC A52264 1905 4 half half NN A52264 1905 5 sum sum NN A52264 1905 6 , , , A52264 1905 7 27.88.50 27.88.50 CD A52264 1905 8 9.669990 9.669990 CD A52264 1905 9 The the DT A52264 1905 10 doubled doubled JJ A52264 1905 11 Radius Radius NNP A52264 1905 12     _SP A52264 1905 13 20.000000 20.000000 CD A52264 1905 14                 _SP A52264 1905 15 Their -PRON- PRP$ A52264 1905 16 summe summe NN A52264 1905 17 39.533727 39.533727 CD A52264 1905 18 From from IN A52264 1905 19 whence whence NN A52264 1905 20 substract substract NN A52264 1905 21     _SP A52264 1905 22 19.720037 19.720037 CD A52264 1905 23 There there EX A52264 1905 24 rests rest VBZ A52264 1905 25     _SP A52264 1905 26 19.813690 19.813690 CD A52264 1905 27 The the DT A52264 1905 28 halfe halfe NN A52264 1905 29 whereof whereof IN A52264 1905 30     _SP A52264 1905 31 9.906845 9.906845 CD A52264 1905 32 Is be VBZ A52264 1905 33 the the DT A52264 1905 34 sine sine NN A52264 1905 35 of of IN A52264 1905 36 53 53 CD A52264 1905 37 deg deg NN A52264 1905 38 . . . A52264 1906 1 80 80 CD A52264 1906 2 min min NN A52264 1906 3 . . . A52264 1907 1 which which WDT A52264 1907 2 doubled double VBD A52264 1907 3 is be VBZ A52264 1907 4 107 107 CD A52264 1907 5 deg deg NN A52264 1907 6 . . . A52264 1908 1 60 60 CD A52264 1908 2 min min NN A52264 1908 3 . . . A52264 1909 1 the the DT A52264 1909 2 Suns Suns NNPS A52264 1909 3 Azimuth Azimuth NNP A52264 1909 4 from from IN A52264 1909 5 the the DT A52264 1909 6 north north NN A52264 1909 7 , , , A52264 1909 8 and and CC A52264 1909 9 72 72 CD A52264 1909 10 deg deg NN A52264 1909 11 . . . A52264 1910 1 40 40 CD A52264 1910 2 min min NN A52264 1910 3 . . . A52264 1911 1 the the DT A52264 1911 2 complement complement NN A52264 1911 3 thereof thereof RB A52264 1911 4 to to IN A52264 1911 5 a a DT A52264 1911 6 Semicircle Semicircle NNP A52264 1911 7 is be VBZ A52264 1911 8 the the DT A52264 1911 9 Suns Suns NNPS A52264 1911 10 Azimuth Azimuth NNP A52264 1911 11 from from IN A52264 1911 12 the the DT A52264 1911 13 South South NNP A52264 1911 14 . . . A52264 1912 1 CHAP CHAP NNP A52264 1912 2 . . . A52264 1913 1 II ii CD A52264 1913 2 . . . A52264 1914 1 THE the DT A52264 1914 2 ART art NN A52264 1914 3 OF of IN A52264 1914 4 SHADOWS SHADOWS NNP A52264 1914 5 : : : A52264 1914 6 Commonly commonly RB A52264 1914 7 called call VBN A52264 1914 8 DIALLING dialling NN A52264 1914 9 . . . A52264 1915 1 Plainly plainly RB A52264 1915 2 shewing shew VBG A52264 1915 3 out out IN A52264 1915 4 of of IN A52264 1915 5 the the DT A52264 1915 6 Sphere Sphere NNP A52264 1915 7 , , , A52264 1915 8 the the DT A52264 1915 9 true true JJ A52264 1915 10 ground ground NN A52264 1915 11 and and CC A52264 1915 12 reason reason NN A52264 1915 13 of of IN A52264 1915 14 making make VBG A52264 1915 15 all all DT A52264 1915 16 kinde kinde NNP A52264 1915 17 of of IN A52264 1915 18 Dials Dials NNPS A52264 1915 19 that that WDT A52264 1915 20 any any DT A52264 1915 21 plain plain NN A52264 1915 22 is be VBZ A52264 1915 23 capable capable JJ A52264 1915 24 of of IN A52264 1915 25 . . . A52264 1916 1 Problem problem NN A52264 1916 2 1 1 CD A52264 1916 3 . . . A52264 1917 1 How how WRB A52264 1917 2 to to TO A52264 1917 3 divide divide VB A52264 1917 4 diverse diverse JJ A52264 1917 5 lines line NNS A52264 1917 6 , , , A52264 1917 7 and and CC A52264 1917 8 make make VB A52264 1917 9 a a DT A52264 1917 10 Chord Chord NNP A52264 1917 11 to to IN A52264 1917 12 any any DT A52264 1917 13 proportion proportion NN A52264 1917 14 given give VBN A52264 1917 15 . . . A52264 1918 1 FOrasmuch forasmuch NN A52264 1918 2 as as IN A52264 1918 3 there there EX A52264 1918 4 is be VBZ A52264 1918 5 continuall continuall NN A52264 1918 6 use use NN A52264 1918 7 both both DT A52264 1918 8 of of IN A52264 1918 9 Scales Scales NNPS A52264 1918 10 and and CC A52264 1918 11 Chords Chords NNPS A52264 1918 12 in in IN A52264 1918 13 drawing draw VBG A52264 1918 14 the the DT A52264 1918 15 Scheams Scheams NNP A52264 1918 16 and and CC A52264 1918 17 Dials Dials NNPS A52264 1918 18 following following NN A52264 1918 19 , , , A52264 1918 20 it -PRON- PRP A52264 1918 21 will will MD A52264 1918 22 be be VB A52264 1918 23 necessary necessary JJ A52264 1918 24 first first RB A52264 1918 25 to to TO A52264 1918 26 shew shew VB A52264 1918 27 the the DT A52264 1918 28 making making NN A52264 1918 29 of of IN A52264 1918 30 them -PRON- PRP A52264 1918 31 , , , A52264 1918 32 that that IN A52264 1918 33 such such JJ A52264 1918 34 as as IN A52264 1918 35 can can MD A52264 1918 36 not not RB A52264 1918 37 have have VB A52264 1918 38 the the DT A52264 1918 39 benefit benefit NN A52264 1918 40 of of IN A52264 1918 41 the the DT A52264 1918 42 skilful skilful JJ A52264 1918 43 artificers artificer NNS A52264 1918 44 labour labour NN A52264 1918 45 , , , A52264 1918 46 may may MD A52264 1918 47 by by IN A52264 1918 48 their -PRON- PRP$ A52264 1918 49 own own JJ A52264 1918 50 pains pain NNS A52264 1918 51 supply supply NN A52264 1918 52 that that WDT A52264 1918 53 defect defect VBP A52264 1918 54 . . . A52264 1919 1 Draw draw VB A52264 1919 2 therefore therefore RB A52264 1919 3 upon upon IN A52264 1919 4 a a DT A52264 1919 5 piece piece NN A52264 1919 6 of of IN A52264 1919 7 paper paper NN A52264 1919 8 or or CC A52264 1919 9 pastboard pastboard VB A52264 1919 10 a a DT A52264 1919 11 streight streight JJ A52264 1919 12 line line NN A52264 1919 13 of of IN A52264 1919 14 what what WP A52264 1919 15 length length NN A52264 1919 16 you -PRON- PRP A52264 1919 17 please please UH A52264 1919 18 , , , A52264 1919 19 divide divide VB A52264 1919 20 this this DT A52264 1919 21 line line NN A52264 1919 22 into into IN A52264 1919 23 10 10 CD A52264 1919 24 equal equal JJ A52264 1919 25 parts part NNS A52264 1919 26 , , , A52264 1919 27 and and CC A52264 1919 28 each each DT A52264 1919 29 10 10 CD A52264 1919 30 into into IN A52264 1919 31 10 10 CD A52264 1919 32 more more JJR A52264 1919 33 , , , A52264 1919 34 so so RB A52264 1919 35 is be VBZ A52264 1919 36 your -PRON- PRP$ A52264 1919 37 line line NN A52264 1919 38 divided divide VBN A52264 1919 39 into into IN A52264 1919 40 100 100 CD A52264 1919 41 equal equal JJ A52264 1919 42 parts part NNS A52264 1919 43 , , , A52264 1919 44 by by IN A52264 1919 45 help help NN A52264 1919 46 where where WRB A52264 1919 47 of of IN A52264 1919 48 a a DT A52264 1919 49 line line NN A52264 1919 50 of of IN A52264 1919 51 Chords Chords NNPS A52264 1919 52 to to IN A52264 1919 53 any any DT A52264 1919 54 proportion proportion NN A52264 1919 55 may may MD A52264 1919 56 be be VB A52264 1919 57 thus thus RB A52264 1919 58 made make VBN A52264 1919 59 . . . A52264 1920 1 First first RB A52264 1920 2 , , , A52264 1920 3 prepare prepare VB A52264 1920 4 a a DT A52264 1920 5 Table table NN A52264 1920 6 , , , A52264 1920 7 therein therein RB A52264 1920 8 set set VBN A52264 1920 9 down down RP A52264 1920 10 the the DT A52264 1920 11 degrees degree NNS A52264 1920 12 , , , A52264 1920 13 halves half NNS A52264 1920 14 , , , A52264 1920 15 and and CC A52264 1920 16 quarters quarter NNS A52264 1920 17 , , , A52264 1920 18 if if IN A52264 1920 19 you -PRON- PRP A52264 1920 20 please please VBP A52264 1920 21 , , , A52264 1920 22 from from IN A52264 1920 23 one one CD A52264 1920 24 to to IN A52264 1920 25 90 90 CD A52264 1920 26 . . . A52264 1921 1 Unto unto IN A52264 1921 2 each each DT A52264 1921 3 degree degree NN A52264 1921 4 and and CC A52264 1921 5 part part NN A52264 1921 6 of of IN A52264 1921 7 a a DT A52264 1921 8 degree degree NN A52264 1921 9 joyn joyn NN A52264 1921 10 the the DT A52264 1921 11 Chord Chord NNP A52264 1921 12 proper proper JJ A52264 1921 13 to to IN A52264 1921 14 it -PRON- PRP A52264 1921 15 , , , A52264 1921 16 which which WDT A52264 1921 17 is be VBZ A52264 1921 18 the the DT A52264 1921 19 naturall naturall JJ A52264 1921 20 sine sine NN A52264 1921 21 of of IN A52264 1921 22 halfe halfe NN A52264 1921 23 the the DT A52264 1921 24 arch arch NN A52264 1921 25 doubled double VBD A52264 1921 26 , , , A52264 1921 27 by by IN A52264 1921 28 the the DT A52264 1921 29 19th 19th NN A52264 1921 30 . . . A52264 1922 1 of of IN A52264 1922 2 the the DT A52264 1922 3 second second JJ A52264 1922 4 of of IN A52264 1922 5 the the DT A52264 1922 6 first first JJ A52264 1922 7 part part NN A52264 1922 8 : : : A52264 1922 9 if if IN A52264 1922 10 you -PRON- PRP A52264 1922 11 double double VBP A52264 1922 12 then then RB A52264 1922 13 the the DT A52264 1922 14 naturall naturall NN A52264 1922 15 sines sin VBZ A52264 1922 16 of of IN A52264 1922 17 5 5 CD A52264 1922 18 . . . A52264 1923 1 10 10 CD A52264 1923 2 . . . A52264 1924 1 20 20 CD A52264 1924 2 . . . A52264 1925 1 30 30 CD A52264 1925 2 . . . A52264 1925 3 degrees degree NNS A52264 1925 4 , , , A52264 1925 5 you -PRON- PRP A52264 1925 6 shall shall MD A52264 1925 7 produce produce VB A52264 1925 8 the the DT A52264 1925 9 Chords Chords NNPS A52264 1925 10 of of IN A52264 1925 11 10 10 CD A52264 1925 12 . . . A52264 1926 1 20 20 CD A52264 1926 2 . . . A52264 1927 1 40 40 CD A52264 1927 2 . . . A52264 1928 1 60 60 CD A52264 1928 2 . . . A52264 1928 3 degrees degree NNS A52264 1928 4 : : : A52264 1928 5 Thus thus RB A52264 1928 6 17364 17364 CD A52264 1928 7 the the DT A52264 1928 8 sine sine NN A52264 1928 9 of of IN A52264 1928 10 10 10 CD A52264 1928 11 de de NN A52264 1928 12 . . . A52264 1929 1 being be VBG A52264 1929 2 doubled double VBN A52264 1929 3 , , , A52264 1929 4 the the DT A52264 1929 5 sum sum NN A52264 1929 6 will will MD A52264 1929 7 be be VB A52264 1929 8 34 34 CD A52264 1929 9 ● ● SYM A52264 1929 10 28 28 CD A52264 1929 11 , , , A52264 1929 12 the the DT A52264 1929 13 Chord Chord NNP A52264 1929 14 of of IN A52264 1929 15 20 20 CD A52264 1929 16 deg deg NN A52264 1929 17 . . . A52264 1930 1 and and CC A52264 1930 2 so so RB A52264 1930 3 of of IN A52264 1930 4 the the DT A52264 1930 5 rest rest NN A52264 1930 6 as as IN A52264 1930 7 in in IN A52264 1930 8 the the DT A52264 1930 9 Table table NN A52264 1930 10 following following NN A52264 1930 11 . . . A52264 1931 1 De De NNP A52264 1931 2 Chord Chord NNP A52264 1931 3 1 1 CD A52264 1931 4 17 17 CD A52264 1931 5 2 2 CD A52264 1931 6 35 35 CD A52264 1931 7 3 3 CD A52264 1931 8 52 52 CD A52264 1931 9 4 4 CD A52264 1931 10 70 70 CD A52264 1931 11 5 5 CD A52264 1931 12 87 87 CD A52264 1931 13 6 6 CD A52264 1931 14 105 105 CD A52264 1931 15 7 7 CD A52264 1931 16 122 122 CD A52264 1931 17 8 8 CD A52264 1931 18 139 139 CD A52264 1931 19 9 9 CD A52264 1931 20 157 157 CD A52264 1931 21 10 10 CD A52264 1931 22 175 175 CD A52264 1931 23 11 11 CD A52264 1931 24 192 192 CD A52264 1931 25 12 12 CD A52264 1931 26 209 209 CD A52264 1931 27 13 13 CD A52264 1931 28 226 226 CD A52264 1931 29 14 14 CD A52264 1931 30 244 244 CD A52264 1931 31 15 15 CD A52264 1931 32 261 261 CD A52264 1931 33 16 16 CD A52264 1931 34 278 278 CD A52264 1931 35 17 17 CD A52264 1931 36 296 296 CD A52264 1931 37 18 18 CD A52264 1931 38 313 313 CD A52264 1931 39 19 19 CD A52264 1931 40 330 330 CD A52264 1931 41 20 20 CD A52264 1931 42 347 347 CD A52264 1931 43 21 21 CD A52264 1931 44 364 364 CD A52264 1931 45 22 22 CD A52264 1931 46 382 382 CD A52264 1931 47 23 23 CD A52264 1931 48 398 398 CD A52264 1931 49 24 24 CD A52264 1931 50 416 416 CD A52264 1931 51 25 25 CD A52264 1931 52 432 432 CD A52264 1931 53 26 26 CD A52264 1931 54 450 450 CD A52264 1931 55 27 27 CD A52264 1931 56 466 466 CD A52264 1931 57 28 28 CD A52264 1931 58 384 384 CD A52264 1931 59 29 29 CD A52264 1931 60 501 501 CD A52264 1931 61 30 30 CD A52264 1931 62 ● ● SYM A52264 1931 63 18 18 CD A52264 1931 64 31 31 CD A52264 1931 65 534 534 CD A52264 1931 66 32 32 CD A52264 1931 67 551 551 CD A52264 1931 68 33 33 CD A52264 1931 69 568 568 CD A52264 1931 70 34 34 CD A52264 1931 71 585 585 CD A52264 1931 72 35 35 CD A52264 1931 73 601 601 CD A52264 1931 74 36 36 CD A52264 1931 75 618 618 CD A52264 1931 76 37 37 CD A52264 1931 77 635 635 CD A52264 1931 78 38 38 CD A52264 1931 79 651 651 CD A52264 1931 80 39 39 CD A52264 1931 81 668 668 CD A52264 1931 82 40 40 CD A52264 1931 83 684 684 CD A52264 1931 84 41 41 CD A52264 1931 85 700 700 CD A52264 1931 86 42 42 CD A52264 1931 87 717 717 CD A52264 1931 88 43 43 CD A52264 1931 89 733 733 CD A52264 1931 90 44 44 CD A52264 1931 91 749 749 CD A52264 1931 92 45 45 CD A52264 1931 93 765 765 CD A52264 1931 94 44 44 CD A52264 1931 95 781 781 CD A52264 1931 96 47 47 CD A52264 1931 97 797 797 CD A52264 1931 98 48 48 CD A52264 1931 99 813 813 CD A52264 1931 100 49 49 CD A52264 1931 101 830 830 CD A52264 1931 102 50 50 CD A52264 1931 103 845 845 CD A52264 1931 104 51 51 CD A52264 1931 105 861 861 CD A52264 1931 106 52 52 CD A52264 1931 107 876 876 CD A52264 1931 108 53 53 CD A52264 1931 109 892 892 CD A52264 1931 110 54 54 CD A52264 1931 111 908 908 CD A52264 1931 112 55 55 CD A52264 1931 113 923 923 CD A52264 1931 114 56 56 CD A52264 1931 115 939 939 CD A52264 1931 116 57 57 CD A52264 1931 117 954 954 CD A52264 1931 118 58 58 CD A52264 1931 119 970 970 CD A52264 1931 120 59 59 CD A52264 1931 121 984 984 CD A52264 1931 122 60 60 CD A52264 1931 123 1000 1000 CD A52264 1931 124 61 61 CD A52264 1931 125 1015 1015 CD A52264 1931 126 62 62 CD A52264 1931 127 1030 1030 CD A52264 1931 128 63 63 CD A52264 1931 129 1045 1045 CD A52264 1931 130 64 64 CD A52264 1931 131 1060 1060 CD A52264 1931 132 65 65 CD A52264 1931 133 1074 1074 CD A52264 1931 134 66 66 CD A52264 1931 135 1089 1089 CD A52264 1931 136 67 67 CD A52264 1931 137 1104 1104 CD A52264 1931 138 68 68 CD A52264 1931 139 1118 1118 CD A52264 1931 140 69 69 CD A52264 1931 141 1133 1133 CD A52264 1931 142 70 70 CD A52264 1931 143 1147 1147 CD A52264 1931 144 71 71 CD A52264 1931 145 1161 1161 CD A52264 1931 146 72 72 CD A52264 1931 147 1176 1176 CD A52264 1931 148 73 73 CD A52264 1931 149 1190 1190 CD A52264 1931 150 74 74 CD A52264 1931 151 1204 1204 CD A52264 1931 152 75 75 CD A52264 1931 153 1217 1217 CD A52264 1931 154 76 76 CD A52264 1931 155 1231 1231 CD A52264 1931 156 77 77 CD A52264 1931 157 1245 1245 CD A52264 1931 158 78 78 CD A52264 1931 159 1259 1259 CD A52264 1931 160 79 79 CD A52264 1931 161 1273 1273 CD A52264 1931 162 80 80 CD A52264 1931 163 1286 1286 CD A52264 1931 164 81 81 CD A52264 1931 165 1299 1299 CD A52264 1931 166 82 82 CD A52264 1931 167 1312 1312 CD A52264 1931 168 83 83 CD A52264 1931 169 1325 1325 CD A52264 1931 170 84 84 CD A52264 1931 171 1338 1338 CD A52264 1931 172 85 85 CD A52264 1931 173 1351 1351 CD A52264 1931 174 86 86 CD A52264 1931 175 1364 1364 CD A52264 1931 176 87 87 CD A52264 1931 177 1377 1377 CD A52264 1931 178 88 88 CD A52264 1931 179 1389 1389 CD A52264 1931 180 89 89 CD A52264 1931 181 1402 1402 CD A52264 1931 182 90 90 CD A52264 1931 183 1414 1414 CD A52264 1931 184 This this DT A52264 1931 185 done do VBN A52264 1931 186 , , , A52264 1931 187 proportion proportion NN A52264 1931 188 the the DT A52264 1931 189 Radius Radius NNP A52264 1931 190 of of IN A52264 1931 191 a a DT A52264 1931 192 circle circle NN A52264 1931 193 to to IN A52264 1931 194 what what WDT A52264 1931 195 extent extent NN A52264 1931 196 you -PRON- PRP A52264 1931 197 please please UH A52264 1931 198 , , , A52264 1931 199 make make VB A52264 1931 200 AB AB NNP A52264 1931 201 equal equal JJ A52264 1931 202 thereto thereto NN A52264 1931 203 , , , A52264 1931 204 in in IN A52264 1931 205 the the DT A52264 1931 206 middle middle JJ A52264 1931 207 whereof whereof NNP A52264 1931 208 , , , A52264 1931 209 as as IN A52264 1931 210 in in IN A52264 1931 211 C C NNP A52264 1931 212 , , , A52264 1931 213 erect erect VB A52264 1931 214 the the DT A52264 1931 215 perpendicular perpendicular JJ A52264 1931 216 CD CD NNP A52264 1931 217 , , , A52264 1931 218 and and CC A52264 1931 219 draw draw VB A52264 1931 220 the the DT A52264 1931 221 lines line NNS A52264 1931 222 AD ad NN A52264 1931 223 and and CC A52264 1931 224 BD BD NNP A52264 1931 225 , , , A52264 1931 226 equal equal JJ A52264 1931 227 in in IN A52264 1931 228 length length NN A52264 1931 229 to to IN A52264 1931 230 your -PRON- PRP$ A52264 1931 231 line line NN A52264 1931 232 of of IN A52264 1931 233 equal equal JJ A52264 1931 234 parts part NNS A52264 1931 235 , , , A52264 1931 236 so so RB A52264 1931 237 have have VBP A52264 1931 238 you -PRON- PRP A52264 1931 239 made make VBN A52264 1931 240 an an DT A52264 1931 241 equiangled equiangle VBN A52264 1931 242 Triangle Triangle NNP A52264 1931 243 , , , A52264 1931 244 by by IN A52264 1931 245 help help NN A52264 1931 246 whereof whereof NNP A52264 1931 247 and and CC A52264 1931 248 the the DT A52264 1931 249 Table table NN A52264 1931 250 aforesaid aforesaid VBD A52264 1931 251 , , , A52264 1931 252 the the DT A52264 1931 253 Chord Chord NNP A52264 1931 254 of of IN A52264 1931 255 any any DT A52264 1931 256 arch arch NN A52264 1931 257 proportionable proportionable NN A52264 1931 258 to to IN A52264 1931 259 this this DT A52264 1931 260 Radius Radius NNP A52264 1931 261 may may MD A52264 1931 262 speedily speedily RB A52264 1931 263 be be VB A52264 1931 264 obtained obtain VBN A52264 1931 265 . . . A52264 1932 1 As as IN A52264 1932 2 for for IN A52264 1932 3 example example NN A52264 1932 4 . . . A52264 1933 1 Let let VB A52264 1933 2 there there EX A52264 1933 3 be be VB A52264 1933 4 required require VBN A52264 1933 5 the the DT A52264 1933 6 Chord Chord NNP A52264 1933 7 of of IN A52264 1933 8 30 30 CD A52264 1933 9 deg deg NN A52264 1933 10 . . . A52264 1934 1 the the DT A52264 1934 2 number number NN A52264 1934 3 in in IN A52264 1934 4 the the DT A52264 1934 5 Table table NN A52264 1934 6 answering answer VBG A52264 1934 7 to to IN A52264 1934 8 this this DT A52264 1934 9 arke arke NN A52264 1934 10 is be VBZ A52264 1934 11 518 518 CD A52264 1934 12 , , , A52264 1934 13 or or CC A52264 1934 14 in in IN A52264 1934 15 proportion proportion NN A52264 1934 16 to to IN A52264 1934 17 this this DT A52264 1934 18 Scale Scale NNP A52264 1934 19 52 52 CD A52264 1934 20 almost almost RB A52264 1934 21 , , , A52264 1934 22 I -PRON- PRP A52264 1934 23 take take VBP A52264 1934 24 therefore therefore RB A52264 1934 25 52 52 CD A52264 1934 26 from from IN A52264 1934 27 the the DT A52264 1934 28 Scale scale NN A52264 1934 29 of of IN A52264 1934 30 equal equal JJ A52264 1934 31 parts part NNS A52264 1934 32 , , , A52264 1934 33 and and CC A52264 1934 34 set set VBD A52264 1934 35 them -PRON- PRP A52264 1934 36 from from IN A52264 1934 37 D d NN A52264 1934 38 to to IN A52264 1934 39 E e NN A52264 1934 40 and and CC A52264 1934 41 F f NN A52264 1934 42 , , , A52264 1934 43 and and CC A52264 1934 44 draw draw VB A52264 1934 45 the the DT A52264 1934 46 line line NN A52264 1934 47 EF EF NNP A52264 1934 48 , , , A52264 1934 49 which which WDT A52264 1934 50 is be VBZ A52264 1934 51 the the DT A52264 1934 52 Chord Chord NNP A52264 1934 53 desired desire VBN A52264 1934 54 . . . A52264 1935 1 Thus thus RB A52264 1935 2 may may MD A52264 1935 3 you -PRON- PRP A52264 1935 4 finde finde VB A52264 1935 5 the the DT A52264 1935 6 Chord Chord NNP A52264 1935 7 of of IN A52264 1935 8 any any DT A52264 1935 9 other other JJ A52264 1935 10 arch arch NN A52264 1935 11 agreeable agreeable NN A52264 1935 12 to to IN A52264 1935 13 this this DT A52264 1935 14 Radius Radius NNP A52264 1935 15 . . . A52264 1936 1 Or or CC A52264 1936 2 if if IN A52264 1936 3 your -PRON- PRP$ A52264 1936 4 Radius radius NN A52264 1936 5 be be VB A52264 1936 6 either either DT A52264 1936 7 of of IN A52264 1936 8 a a DT A52264 1936 9 greater great JJR A52264 1936 10 or or CC A52264 1936 11 lesser less JJR A52264 1936 12 extent extent NN A52264 1936 13 , , , A52264 1936 14 if if IN A52264 1936 15 you -PRON- PRP A52264 1936 16 make make VBP A52264 1936 17 the the DT A52264 1936 18 base base NN A52264 1936 19 of of IN A52264 1936 20 your -PRON- PRP$ A52264 1936 21 Triangle Triangle NNP A52264 1936 22 AB AB NNP A52264 1936 23 equal equal JJ A52264 1936 24 thereunto thereunto NNS A52264 1936 25 , , , A52264 1936 26 you -PRON- PRP A52264 1936 27 may may MD A52264 1936 28 in in IN A52264 1936 29 like like UH A52264 1936 30 manner manner NN A52264 1936 31 finde finde IN A52264 1936 32 the the DT A52264 1936 33 Chord Chord NNP A52264 1936 34 of of IN A52264 1936 35 any any DT A52264 1936 36 arch arch NN A52264 1936 37 agreeable agreeable NN A52264 1936 38 to to IN A52264 1936 39 any any DT A52264 1936 40 Radius Radius NNP A52264 1936 41 given give VBN A52264 1936 42 . . . A52264 1937 1 Only only RB A52264 1937 2 remember remember VB A52264 1937 3 that that IN A52264 1937 4 if if IN A52264 1937 5 the the DT A52264 1937 6 Chord Chord NNP A52264 1937 7 of of IN A52264 1937 8 the the DT A52264 1937 9 arch arch NN A52264 1937 10 desired desire VBN A52264 1937 11 exceed exceed VBP A52264 1937 12 60 60 CD A52264 1937 13 deg deg NN A52264 1937 14 . . . A52264 1938 1 the the DT A52264 1938 2 sides side NNS A52264 1938 3 of of IN A52264 1938 4 the the DT A52264 1938 5 Triangle Triangle NNP A52264 1938 6 AD AD NNP A52264 1938 7 and and CC A52264 1938 8 DB DB NNP A52264 1938 9 must must MD A52264 1938 10 be be VB A52264 1938 11 continued continue VBN A52264 1938 12 from from IN A52264 1938 13 A a NN A52264 1938 14 and and CC A52264 1938 15 B b NN A52264 1938 16 as as RB A52264 1938 17 far far RB A52264 1938 18 as as IN A52264 1938 19 need need NN A52264 1938 20 shall shall MD A52264 1938 21 require require VB A52264 1938 22 . . . A52264 1939 1 In in IN A52264 1939 2 this this DT A52264 1939 3 manner manner NN A52264 1939 4 is be VBZ A52264 1939 5 made make VBN A52264 1939 6 the the DT A52264 1939 7 line line NN A52264 1939 8 of of IN A52264 1939 9 Chords Chords NNPS A52264 1939 10 adjoyning adjoyning NN A52264 1939 11 , , , A52264 1939 12 answerable answerable JJ A52264 1939 13 to to IN A52264 1939 14 the the DT A52264 1939 15 Radius Radius NNP A52264 1939 16 of of IN A52264 1939 17 the the DT A52264 1939 18 Fundamental Fundamental NNP A52264 1939 19 Scheme Scheme NNP A52264 1939 20 . . . A52264 1940 1 And and CC A52264 1940 2 in in IN A52264 1940 3 this this DT A52264 1940 4 manner manner NN A52264 1940 5 may may MD A52264 1940 6 you -PRON- PRP A52264 1940 7 finde finde VB A52264 1940 8 the the DT A52264 1940 9 Sine Sine NNP A52264 1940 10 , , , A52264 1940 11 Tangent Tangent NNP A52264 1940 12 or or CC A52264 1940 13 Secant Secant NNP A52264 1940 14 of of IN A52264 1940 15 any any DT A52264 1940 16 arch arch JJ A52264 1940 17 proportionable proportionable NN A52264 1940 18 to to IN A52264 1940 19 any any DT A52264 1940 20 Radius Radius NNP A52264 1940 21 , , , A52264 1940 22 by by IN A52264 1940 23 help help NN A52264 1940 24 of of IN A52264 1940 25 the the DT A52264 1940 26 Canon Canon NNP A52264 1940 27 of of IN A52264 1940 28 Naturall Naturall NNP A52264 1940 29 Sines Sines NNPS A52264 1940 30 , , , A52264 1940 31 Tangents Tangents NNP A52264 1940 32 and and CC A52264 1940 33 Secants Secants NNP A52264 1940 34 , , , A52264 1940 35 and and CC A52264 1940 36 the the DT A52264 1940 37 aforesaid aforesaid JJ A52264 1940 38 Scale Scale NNP A52264 1940 39 of of IN A52264 1940 40 equall equall NN A52264 1940 41 parts part NNS A52264 1940 42 , , , A52264 1940 43 as as IN A52264 1940 44 by by IN A52264 1940 45 example example NN A52264 1940 46 may may MD A52264 1940 47 more more RBR A52264 1940 48 plainly plainly RB A52264 1940 49 appear appear VB A52264 1940 50 . . . A52264 1941 1 Let let VB A52264 1941 2 there there EX A52264 1941 3 be be VB A52264 1941 4 required require VBN A52264 1941 5 the the DT A52264 1941 6 sine sine NN A52264 1941 7 of of IN A52264 1941 8 44 44 CD A52264 1941 9 degrees degree NNS A52264 1941 10 in in IN A52264 1941 11 the the DT A52264 1941 12 table table NN A52264 1941 13 of of IN A52264 1941 14 natural natural JJ A52264 1941 15 sines sine NNS A52264 1941 16 , , , A52264 1941 17 the the DT A52264 1941 18 number number NN A52264 1941 19 answering answer VBG A52264 1941 20 to to IN A52264 1941 21 44 44 CD A52264 1941 22 degrees degree NNS A52264 1941 23 is be VBZ A52264 1941 24 694 694 CD A52264 1941 25 . . . A52264 1942 1 I -PRON- PRP A52264 1942 2 take take VBP A52264 1942 3 therefore therefore RB A52264 1942 4 with with IN A52264 1942 5 my -PRON- PRP$ A52264 1942 6 compasses compass NNS A52264 1942 7 69 69 CD A52264 1942 8 from from IN A52264 1942 9 my -PRON- PRP$ A52264 1942 10 Scale scale NN A52264 1942 11 of of IN A52264 1942 12 equal equal JJ A52264 1942 13 parts part NNS A52264 1942 14 , , , A52264 1942 15 and and CC A52264 1942 16 set set VBD A52264 1942 17 them -PRON- PRP A52264 1942 18 from from IN A52264 1942 19 D d NN A52264 1942 20 to to IN A52264 1942 21 G g NN A52264 1942 22 and and CC A52264 1942 23 H h NN A52264 1942 24 ; ; : A52264 1942 25 so so RB A52264 1942 26 is be VBZ A52264 1942 27 the the DT A52264 1942 28 line line NN A52264 1942 29 GH GH NNP A52264 1942 30 the the DT A52264 1942 31 sine sine NN A52264 1942 32 of of IN A52264 1942 33 44 44 CD A52264 1942 34 degrees degree NNS A52264 1942 35 , , , A52264 1942 36 where where WRB A52264 1942 37 the the DT A52264 1942 38 Radius Radius NNP A52264 1942 39 of of IN A52264 1942 40 the the DT A52264 1942 41 circle circle NN A52264 1942 42 is be VBZ A52264 1942 43 AB AB NNP A52264 1942 44 . . . A52264 1943 1 Again again RB A52264 1943 2 , , , A52264 1943 3 if if IN A52264 1943 4 there there EX A52264 1943 5 were be VBD A52264 1943 6 required require VBN A52264 1943 7 the the DT A52264 1943 8 tangent tangent NN A52264 1943 9 of of IN A52264 1943 10 44 44 CD A52264 1943 11 degrees degree NNS A52264 1943 12 , , , A52264 1943 13 the the DT A52264 1943 14 number number NN A52264 1943 15 in in IN A52264 1943 16 the the DT A52264 1943 17 table table NN A52264 1943 18 is be VBZ A52264 1943 19 965 965 CD A52264 1943 20 ; ; : A52264 1943 21 and and CC A52264 1943 22 therefore therefore RB A52264 1943 23 96 96 CD A52264 1943 24 set set NN A52264 1943 25 from from IN A52264 1943 26 D d NN A52264 1943 27 to to IN A52264 1943 28 K K NNP A52264 1943 29 and and CC A52264 1943 30 L L NNP A52264 1943 31 shall shall MD A52264 1943 32 give give VB A52264 1943 33 the the DT A52264 1943 34 tangent tangent NN A52264 1943 35 required require VBN A52264 1943 36 ; ; : A52264 1943 37 and and CC A52264 1943 38 so so RB A52264 1943 39 for for IN A52264 1943 40 any any DT A52264 1943 41 other other JJ A52264 1943 42 . . . A52264 1944 1 Your -PRON- PRP$ A52264 1944 2 Scales Scales NNP A52264 1944 3 being be VBG A52264 1944 4 thus thus RB A52264 1944 5 prepared prepare VBN A52264 1944 6 for for IN A52264 1944 7 the the DT A52264 1944 8 Mechanicall Mechanicall NNP A52264 1944 9 part part NN A52264 1944 10 , , , A52264 1944 11 we -PRON- PRP A52264 1944 12 will will MD A52264 1944 13 now now RB A52264 1944 14 shew shew VB A52264 1944 15 you -PRON- PRP A52264 1944 16 how how WRB A52264 1944 17 to to TO A52264 1944 18 project project VB A52264 1944 19 the the DT A52264 1944 20 Sphere Sphere NNP A52264 1944 21 in in IN A52264 1944 22 plano plano NN A52264 1944 23 , , , A52264 1944 24 and and CC A52264 1944 25 so so RB A52264 1944 26 proceed proceed VB A52264 1944 27 to to IN A52264 1944 28 the the DT A52264 1944 29 arithmeticall arithmeticall NN A52264 1944 30 work work NN A52264 1944 31 . . . A52264 1945 1 Probl probl VB A52264 1945 2 . . . A52264 1946 1 2 2 LS A52264 1946 2 . . . A52264 1947 1 The the DT A52264 1947 2 explanation explanation NN A52264 1947 3 and and CC A52264 1947 4 making making NN A52264 1947 5 of of IN A52264 1947 6 the the DT A52264 1947 7 fundamental fundamental JJ A52264 1947 8 Diagram Diagram NNP A52264 1947 9 . . . A52264 1948 1 THis this DT A52264 1948 2 Scheme scheme NN A52264 1948 3 representeth representeth VBP A52264 1948 4 to to IN A52264 1948 5 the the DT A52264 1948 6 eye eye NN A52264 1948 7 the the DT A52264 1948 8 true true JJ A52264 1948 9 and and CC A52264 1948 10 natural natural JJ A52264 1948 11 situation situation NN A52264 1948 12 of of IN A52264 1948 13 those those DT A52264 1948 14 circles circle NNS A52264 1948 15 of of IN A52264 1948 16 the the DT A52264 1948 17 Sphere Sphere NNP A52264 1948 18 , , , A52264 1948 19 whereof whereof NNP A52264 1948 20 we -PRON- PRP A52264 1948 21 shall shall MD A52264 1948 22 have have VB A52264 1948 23 use use NN A52264 1948 24 in in IN A52264 1948 25 the the DT A52264 1948 26 description description NN A52264 1948 27 of of IN A52264 1948 28 such such JJ A52264 1948 29 sorts sort NNS A52264 1948 30 of of IN A52264 1948 31 Dials Dials NNPS A52264 1948 32 as as IN A52264 1948 33 any any DT A52264 1948 34 flat flat JJ A52264 1948 35 or or CC A52264 1948 36 plane plane NN A52264 1948 37 is be VBZ A52264 1948 38 capable capable JJ A52264 1948 39 of of IN A52264 1948 40 . . . A52264 1949 1 It -PRON- PRP A52264 1949 2 is be VBZ A52264 1949 3 therefore therefore RB A52264 1949 4 necessary necessary JJ A52264 1949 5 first first RB A52264 1949 6 to to TO A52264 1949 7 explain explain VB A52264 1949 8 that that DT A52264 1949 9 , , , A52264 1949 10 and and CC A52264 1949 11 the the DT A52264 1949 12 making making NN A52264 1949 13 thereof thereof RB A52264 1949 14 , , , A52264 1949 15 that that IN A52264 1949 16 the the DT A52264 1949 17 Symetry Symetry NNP A52264 1949 18 of of IN A52264 1949 19 the the DT A52264 1949 20 Scheme Scheme NNP A52264 1949 21 with with IN A52264 1949 22 the the DT A52264 1949 23 Globe Globe NNP A52264 1949 24 being be VBG A52264 1949 25 well well RB A52264 1949 26 understood understand VBN A52264 1949 27 , , , A52264 1949 28 the the DT A52264 1949 29 representation representation NN A52264 1949 30 of of IN A52264 1949 31 every every DT A52264 1949 32 plane plane NN A52264 1949 33 therein therein RB A52264 1949 34 may may MD A52264 1949 35 be be VB A52264 1949 36 the the DT A52264 1949 37 better well JJR A52264 1949 38 conceived conceive VBN A52264 1949 39 . . . A52264 1950 1 Suppose suppose VB A52264 1950 2 then then RB A52264 1950 3 that that IN A52264 1950 4 the the DT A52264 1950 5 Globe Globe NNP A52264 1950 6 elevated elevate VBD A52264 1950 7 to to IN A52264 1950 8 the the DT A52264 1950 9 height height NN A52264 1950 10 of of IN A52264 1950 11 the the DT A52264 1950 12 Pole Pole NNP A52264 1950 13 be be VB A52264 1950 14 prest pr JJS A52264 1950 15 flat flat RB A52264 1950 16 down down RB A52264 1950 17 into into IN A52264 1950 18 the the DT A52264 1950 19 plane plane NN A52264 1950 20 of of IN A52264 1950 21 the the DT A52264 1950 22 Horizon Horizon NNP A52264 1950 23 , , , A52264 1950 24 then then RB A52264 1950 25 will will MD A52264 1950 26 the the DT A52264 1950 27 outward outward JJ A52264 1950 28 circle circle NN A52264 1950 29 or or CC A52264 1950 30 limbe limbe NN A52264 1950 31 of of IN A52264 1950 32 this this DT A52264 1950 33 Scheme Scheme NNP A52264 1950 34 NESW NESW NNP A52264 1950 35 represent represent VBP A52264 1950 36 that that IN A52264 1950 37 Horizon Horizon NNP A52264 1950 38 , , , A52264 1950 39 and and CC A52264 1950 40 all all PDT A52264 1950 41 the the DT A52264 1950 42 circles circle NNS A52264 1950 43 contained contain VBN A52264 1950 44 in in IN A52264 1950 45 the the DT A52264 1950 46 upper upper JJ A52264 1950 47 Hemisphere Hemisphere NNP A52264 1950 48 of of IN A52264 1950 49 the the DT A52264 1950 50 Globe Globe NNP A52264 1950 51 may may MD A52264 1950 52 artificially artificially RB A52264 1950 53 be be VB A52264 1950 54 contrived contrive VBN A52264 1950 55 , , , A52264 1950 56 and and CC A52264 1950 57 represented represent VBN A52264 1950 58 thereon thereon NN A52264 1950 59 , , , A52264 1950 60 as as IN A52264 1950 61 Azimuths Azimuths NNP A52264 1950 62 , , , A52264 1950 63 Almicanters Almicanters NNPS A52264 1950 64 , , , A52264 1950 65 Meridians Meridians NNPS A52264 1950 66 , , , A52264 1950 67 Parallels Parallels NNPS A52264 1950 68 , , , A52264 1950 69 Equator equator NN A52264 1950 70 , , , A52264 1950 71 Tropicks Tropicks NNP A52264 1950 72 , , , A52264 1950 73 circles circle NNS A52264 1950 74 of of IN A52264 1950 75 position position NN A52264 1950 76 , , , A52264 1950 77 and and CC A52264 1950 78 such such JJ A52264 1950 79 like like IN A52264 1950 80 , , , A52264 1950 81 the the DT A52264 1950 82 which which WDT A52264 1950 83 in in IN A52264 1950 84 this this DT A52264 1950 85 Diagram Diagram NNP A52264 1950 86 are be VBP A52264 1950 87 thus thus RB A52264 1950 88 distinguished distinguish VBN A52264 1950 89 . . . A52264 1951 1 The the DT A52264 1951 2 letter letter NN A52264 1951 3 Z z NN A52264 1951 4 represents represent VBZ A52264 1951 5 the the DT A52264 1951 6 Zenith Zenith NNP A52264 1951 7 of of IN A52264 1951 8 the the DT A52264 1951 9 place place NN A52264 1951 10 , , , A52264 1951 11 and and CC A52264 1951 12 the the DT A52264 1951 13 center center NN A52264 1951 14 of of IN A52264 1951 15 the the DT A52264 1951 16 horizontal horizontal JJ A52264 1951 17 circle circle NN A52264 1951 18 , , , A52264 1951 19 NZS NZS NNP A52264 1951 20 represents represent VBZ A52264 1951 21 the the DT A52264 1951 22 meridian meridian NN A52264 1951 23 , , , A52264 1951 24 P p NN A52264 1951 25 the the DT A52264 1951 26 pole pole NN A52264 1951 27 of of IN A52264 1951 28 the the DT A52264 1951 29 world world NN A52264 1951 30 elevated elevate VBN A52264 1951 31 above above IN A52264 1951 32 the the DT A52264 1951 33 North North NNP A52264 1951 34 part part NN A52264 1951 35 of of IN A52264 1951 36 the the DT A52264 1951 37 Horizon Horizon NNP A52264 1951 38 N N NNP A52264 1951 39 here here RB A52264 1951 40 at at IN A52264 1951 41 London London NNP A52264 1951 42 , , , A52264 1951 43 51 51 CD A52264 1951 44 degrees degree NNS A52264 1951 45 53 53 CD A52264 1951 46 minutes minute NNS A52264 1951 47 , , , A52264 1951 48 or or CC A52264 1951 49 centesmes centesme NNS A52264 1951 50 of of IN A52264 1951 51 a a DT A52264 1951 52 degree degree NN A52264 1951 53 , , , A52264 1951 54 the the DT A52264 1951 55 complement complement NN A52264 1951 56 whereof whereof NNP A52264 1951 57 PZ PZ NNP A52264 1951 58 38 38 CD A52264 1951 59 degrees degree NNS A52264 1951 60 , , , A52264 1951 61 47 47 CD A52264 1951 62 minutes minute NNS A52264 1951 63 , , , A52264 1951 64 and and CC A52264 1951 65 the the DT A52264 1951 66 distance distance NN A52264 1951 67 between between IN A52264 1951 68 the the DT A52264 1951 69 Pole Pole NNP A52264 1951 70 and and CC A52264 1951 71 the the DT A52264 1951 72 Zenith Zenith NNP A52264 1951 73 ; ; : A52264 1951 74 EZW EZW NNP A52264 1951 75 is be VBZ A52264 1951 76 the the DT A52264 1951 77 prime prime JJ A52264 1951 78 vertical vertical JJ A52264 1951 79 , , , A52264 1951 80 DZG DZG NNP A52264 1951 81 and and CC A52264 1951 82 CZV CZV NNP A52264 1951 83 any any DT A52264 1951 84 other other JJ A52264 1951 85 intermediate intermediate JJ A52264 1951 86 Azimuths azimuth NNS A52264 1951 87 , , , A52264 1951 88 NOS NOS NNP A52264 1951 89 a a DT A52264 1951 90 circle circle NN A52264 1951 91 of of IN A52264 1951 92 position position NN A52264 1951 93 , , , A52264 1951 94 EKW EKW NNP A52264 1951 95 the the DT A52264 1951 96 Equator equator NN A52264 1951 97 , , , A52264 1951 98 the the DT A52264 1951 99 distance distance NN A52264 1951 100 whereof whereof VBD A52264 1951 101 from from IN A52264 1951 102 Z Z NNP A52264 1951 103 is be VBZ A52264 1951 104 equal equal JJ A52264 1951 105 to to IN A52264 1951 106 PN PN NNP A52264 1951 107 , , , A52264 1951 108 the the DT A52264 1951 109 height height NN A52264 1951 110 of of IN A52264 1951 111 the the DT A52264 1951 112 Pole Pole NNP A52264 1951 113 , , , A52264 1951 114 or or CC A52264 1951 115 from from IN A52264 1951 116 S S NNP A52264 1951 117 equal equal JJ A52264 1951 118 to to IN A52264 1951 119 PZ PZ NNP A52264 1951 120 , , , A52264 1951 121 the the DT A52264 1951 122 complement complement NN A52264 1951 123 thereof thereof RB A52264 1951 124 , , , A52264 1951 125 HBQX HBQX NNP A52264 1951 126 the the DT A52264 1951 127 Tropick Tropick NNP A52264 1951 128 or or CC A52264 1951 129 parallel parallel NN A52264 1951 130 of of IN A52264 1951 131 Cancer Cancer NNP A52264 1951 132 , , , A52264 1951 133 LFM LFM NNP A52264 1951 134 , , , A52264 1951 135 the the DT A52264 1951 136 Tropique Tropique NNP A52264 1951 137 of of IN A52264 1951 138 Capricorn Capricorn NNP A52264 1951 139 , , , A52264 1951 140 the the DT A52264 1951 141 rest rest NN A52264 1951 142 of of IN A52264 1951 143 the the DT A52264 1951 144 circles circle NNS A52264 1951 145 intersecting intersect VBG A52264 1951 146 each each DT A52264 1951 147 other other JJ A52264 1951 148 in in IN A52264 1951 149 the the DT A52264 1951 150 point point NN A52264 1951 151 P p NN A52264 1951 152 , , , A52264 1951 153 are be VBP A52264 1951 154 the the DT A52264 1951 155 meridians meridian NNS A52264 1951 156 or or CC A52264 1951 157 hour hour NN A52264 1951 158 - - HYPH A52264 1951 159 circles circle NNS A52264 1951 160 , , , A52264 1951 161 cutting cut VBG A52264 1951 162 the the DT A52264 1951 163 Horizon Horizon NNP A52264 1951 164 and and CC A52264 1951 165 other other JJ A52264 1951 166 circles circle NNS A52264 1951 167 of of IN A52264 1951 168 this this DT A52264 1951 169 Diagram Diagram NNP A52264 1951 170 in in IN A52264 1951 171 such such JJ A52264 1951 172 manner manner NN A52264 1951 173 as as IN A52264 1951 174 they -PRON- PRP A52264 1951 175 do do VBP A52264 1951 176 in in IN A52264 1951 177 the the DT A52264 1951 178 Globe Globe NNP A52264 1951 179 itself -PRON- PRP A52264 1951 180 . . . A52264 1952 1 Amongst amongst IN A52264 1952 2 these these DT A52264 1952 3 the the DT A52264 1952 4 Azimuths azimuth NNS A52264 1952 5 onely onely RB A52264 1952 6 in in IN A52264 1952 7 this this DT A52264 1952 8 projection projection NN A52264 1952 9 become become VBP A52264 1952 10 streight streight JJ A52264 1952 11 lines line NNS A52264 1952 12 , , , A52264 1952 13 all all PDT A52264 1952 14 the the DT A52264 1952 15 rest rest NN A52264 1952 16 remain remain VBP A52264 1952 17 circles circle NNS A52264 1952 18 , , , A52264 1952 19 and and CC A52264 1952 20 are be VBP A52264 1952 21 greater great JJR A52264 1952 22 or or CC A52264 1952 23 lesser less JJR A52264 1952 24 , , , A52264 1952 25 according accord VBG A52264 1952 26 to to IN A52264 1952 27 their -PRON- PRP$ A52264 1952 28 natural natural JJ A52264 1952 29 situation situation NN A52264 1952 30 in in IN A52264 1952 31 the the DT A52264 1952 32 Globe Globe NNP A52264 1952 33 , , , A52264 1952 34 and and CC A52264 1952 35 may may MD A52264 1952 36 be be VB A52264 1952 37 thus thus RB A52264 1952 38 described describe VBN A52264 1952 39 . . . A52264 1953 1 Open open VB A52264 1953 2 your -PRON- PRP$ A52264 1953 3 compasses compass NNS A52264 1953 4 to to IN A52264 1953 5 the the DT A52264 1953 6 extent extent NN A52264 1953 7 of of IN A52264 1953 8 the the DT A52264 1953 9 line line NN A52264 1953 10 AB ab NN A52264 1953 11 in in IN A52264 1953 12 the the DT A52264 1953 13 former former JJ A52264 1953 14 Probleme Probleme NNP A52264 1953 15 , , , A52264 1953 16 ( ( -LRB- A52264 1953 17 or or CC A52264 1953 18 to to IN A52264 1953 19 any any DT A52264 1953 20 other other JJ A52264 1953 21 extent extent NN A52264 1953 22 you -PRON- PRP A52264 1953 23 please please VBP A52264 1953 24 ) ) -RRB- A52264 1953 25 with with IN A52264 1953 26 that that DT A52264 1953 27 Radius Radius NNP A52264 1953 28 , , , A52264 1953 29 or or CC A52264 1953 30 Semidiameter Semidiameter NNP A52264 1953 31 describe describe VB A52264 1953 32 the the DT A52264 1953 33 horizontal horizontal JJ A52264 1953 34 circle circle NN A52264 1953 35 NESW NESW NNP A52264 1953 36 , , , A52264 1953 37 crosse crosse VB A52264 1953 38 it -PRON- PRP A52264 1953 39 at at IN A52264 1953 40 right right JJ A52264 1953 41 angles angle NNS A52264 1953 42 in in IN A52264 1953 43 Z z NN A52264 1953 44 with with IN A52264 1953 45 the the DT A52264 1953 46 lines line NNS A52264 1953 47 NZS NZS NNP A52264 1953 48 and and CC A52264 1953 49 EZW EZW NNP A52264 1953 50 . . . A52264 1954 1 That that DT A52264 1954 2 done do VBN A52264 1954 3 , , , A52264 1954 4 seek seek VB A52264 1954 5 the the DT A52264 1954 6 place place NN A52264 1954 7 of of IN A52264 1954 8 the the DT A52264 1954 9 Pole Pole NNP A52264 1954 10 at at IN A52264 1954 11 P P NNP A52264 1954 12 , , , A52264 1954 13 through through IN A52264 1954 14 which which WDT A52264 1954 15 the the DT A52264 1954 16 hour hour NN A52264 1954 17 circles circle NNS A52264 1954 18 must must MD A52264 1954 19 pass pass VB A52264 1954 20 , , , A52264 1954 21 the the DT A52264 1954 22 Equinoctial equinoctial JJ A52264 1954 23 point point NN A52264 1954 24 at at IN A52264 1954 25 K K NNP A52264 1954 26 , , , A52264 1954 27 the the DT A52264 1954 28 Tropiques tropique NNS A52264 1954 29 at at IN A52264 1954 30 T T NNP A52264 1954 31 and and CC A52264 1954 32 F F NNP A52264 1954 33 , , , A52264 1954 34 the the DT A52264 1954 35 reclining recline VBG A52264 1954 36 circle circle NN A52264 1954 37 at at IN A52264 1954 38 O o NN A52264 1954 39 , , , A52264 1954 40 and and CC A52264 1954 41 the the DT A52264 1954 42 declining decline VBG A52264 1954 43 reclining recline VBG A52264 1954 44 at at IN A52264 1954 45 A a NN A52264 1954 46 ; ; : A52264 1954 47 all all DT A52264 1954 48 which which WDT A52264 1954 49 may may MD A52264 1954 50 thus thus RB A52264 1954 51 be be VB A52264 1954 52 found find VBN A52264 1954 53 . . . A52264 1955 1 The the DT A52264 1955 2 Zenith Zenith NNP A52264 1955 3 in in IN A52264 1955 4 the the DT A52264 1955 5 Globe Globe NNP A52264 1955 6 or or CC A52264 1955 7 Materiall Materiall NNP A52264 1955 8 Sphere Sphere NNP A52264 1955 9 is be VBZ A52264 1955 10 the the DT A52264 1955 11 Pole Pole NNP A52264 1955 12 of of IN A52264 1955 13 the the DT A52264 1955 14 Horizon Horizon NNP A52264 1955 15 , , , A52264 1955 16 and and CC A52264 1955 17 Z z NN A52264 1955 18 in in IN A52264 1955 19 the the DT A52264 1955 20 Scheme Scheme NNP A52264 1955 21 is be VBZ A52264 1955 22 the the DT A52264 1955 23 center center NN A52264 1955 24 of of IN A52264 1955 25 the the DT A52264 1955 26 limbe limbe NN A52264 1955 27 , , , A52264 1955 28 representing represent VBG A52264 1955 29 the the DT A52264 1955 30 same same JJ A52264 1955 31 , , , A52264 1955 32 from from IN A52264 1955 33 which which WDT A52264 1955 34 point point NN A52264 1955 35 the the DT A52264 1955 36 distance distance NN A52264 1955 37 of of IN A52264 1955 38 each each DT A52264 1955 39 circle circle NN A52264 1955 40 being be VBG A52264 1955 41 given give VBN A52264 1955 42 both both DT A52264 1955 43 wayes waye NNS A52264 1955 44 , , , A52264 1955 45 as as IN A52264 1955 46 it -PRON- PRP A52264 1955 47 lyeth lyeth VBZ A52264 1955 48 in in IN A52264 1955 49 the the DT A52264 1955 50 Sphere Sphere NNP A52264 1955 51 , , , A52264 1955 52 and and CC A52264 1955 53 set set VBN A52264 1955 54 upon upon IN A52264 1955 55 the the DT A52264 1955 56 Azimuth Azimuth NNP A52264 1955 57 , , , A52264 1955 58 or or CC A52264 1955 59 streight streight JJ A52264 1955 60 line line NN A52264 1955 61 of of IN A52264 1955 62 the the DT A52264 1955 63 Scheme Scheme NNP A52264 1955 64 proper proper JJ A52264 1955 65 thereunto thereunto NNS A52264 1955 66 , , , A52264 1955 67 you -PRON- PRP A52264 1955 68 may may MD A52264 1955 69 by by IN A52264 1955 70 help help NN A52264 1955 71 of of IN A52264 1955 72 the the DT A52264 1955 73 natural natural JJ A52264 1955 74 tangents tangent NNS A52264 1955 75 of of IN A52264 1955 76 half half PDT A52264 1955 77 their -PRON- PRP$ A52264 1955 78 arches arch NNS A52264 1955 79 give give VBP A52264 1955 80 three three CD A52264 1955 81 points point NNS A52264 1955 82 to to TO A52264 1955 83 draw draw VB A52264 1955 84 each each DT A52264 1955 85 circle circle NN A52264 1955 86 by by IN A52264 1955 87 , , , A52264 1955 88 for for IN A52264 1955 89 if if IN A52264 1955 90 the the DT A52264 1955 91 naturall naturall NN A52264 1955 92 tangents tangent NNS A52264 1955 93 of of IN A52264 1955 94 both both DT A52264 1955 95 distances distance NNS A52264 1955 96 from from IN A52264 1955 97 the the DT A52264 1955 98 Zenith Zenith NNP A52264 1955 99 be be VB A52264 1955 100 added add VBN A52264 1955 101 together together RB A52264 1955 102 , , , A52264 1955 103 the the DT A52264 1955 104 half half NN A52264 1955 105 thereof thereof RB A52264 1955 106 shall shall MD A52264 1955 107 be be VB A52264 1955 108 the the DT A52264 1955 109 Semidiameters Semidiameters NNPS A52264 1955 110 of of IN A52264 1955 111 those those DT A52264 1955 112 circles circle NNS A52264 1955 113 desired desire VBD A52264 1955 114 . . . A52264 1956 1 The the DT A52264 1956 2 reason reason NN A52264 1956 3 why why WRB A52264 1956 4 the the DT A52264 1956 5 natural natural JJ A52264 1956 6 tangent tangent NN A52264 1956 7 of of IN A52264 1956 8 half half PDT A52264 1956 9 the the DT A52264 1956 10 arches arch NNS A52264 1956 11 are be VBP A52264 1956 12 here here RB A52264 1956 13 taken take VBN A52264 1956 14 , , , A52264 1956 15 may may MD A52264 1956 16 be be VB A52264 1956 17 made make VBN A52264 1956 18 plain plain JJ A52264 1956 19 by by IN A52264 1956 20 this this DT A52264 1956 21 Diagram Diagram NNP A52264 1956 22 following following NN A52264 1956 23 . . . A52264 1957 1 Wherein wherein WRB A52264 1957 2 making make VBG A52264 1957 3 EZ EZ NNP A52264 1957 4 the the DT A52264 1957 5 Radius Radius NNP A52264 1957 6 , , , A52264 1957 7 SZN SZN NNP A52264 1957 8 is be VBZ A52264 1957 9 a a DT A52264 1957 10 tangent tangent JJ A52264 1957 11 line line NN A52264 1957 12 thereunto thereunto NNS A52264 1957 13 , , , A52264 1957 14 upon upon IN A52264 1957 15 which which WDT A52264 1957 16 if if IN A52264 1957 17 you -PRON- PRP A52264 1957 18 will will MD A52264 1957 19 project project VB A52264 1957 20 the the DT A52264 1957 21 whole whole JJ A52264 1957 22 Semicircle Semicircle NNP A52264 1957 23 SWN SWN NNP A52264 1957 24 , , , A52264 1957 25 it -PRON- PRP A52264 1957 26 is be VBZ A52264 1957 27 manifest manif JJS A52264 1957 28 , , , A52264 1957 29 by by IN A52264 1957 30 the the DT A52264 1957 31 work work NN A52264 1957 32 , , , A52264 1957 33 that that IN A52264 1957 34 every every DT A52264 1957 35 part part NN A52264 1957 36 of of IN A52264 1957 37 the the DT A52264 1957 38 lines line NNS A52264 1957 39 ZN ZN NNP A52264 1957 40 or or CC A52264 1957 41 ZS ZS NNP A52264 1957 42 can can MD A52264 1957 43 be be VB A52264 1957 44 no no DT A52264 1957 45 more more JJR A52264 1957 46 then then IN A52264 1957 47 the the DT A52264 1957 48 tangent tangent NN A52264 1957 49 of of IN A52264 1957 50 half half PDT A52264 1957 51 the the DT A52264 1957 52 arch arch NN A52264 1957 53 desired desire VBN A52264 1957 54 , , , A52264 1957 55 because because IN A52264 1957 56 the the DT A52264 1957 57 whole whole JJ A52264 1957 58 line line NN A52264 1957 59 ZN ZN NNP A52264 1957 60 or or CC A52264 1957 61 ZS ZS NNP A52264 1957 62 is be VBZ A52264 1957 63 the the DT A52264 1957 64 tang tang NNP A52264 1957 65 . . . A52264 1958 1 of of IN A52264 1958 2 no no DT A52264 1958 3 more more RBR A52264 1958 4 then then RB A52264 1958 5 half half PDT A52264 1958 6 the the DT A52264 1958 7 Quadrant Quadrant NNP A52264 1958 8 , , , A52264 1958 9 that that RB A52264 1958 10 is is RB A52264 1958 11 , , , A52264 1958 12 of of IN A52264 1958 13 45 45 CD A52264 1958 14 degrees degree NNS A52264 1958 15 , , , A52264 1958 16 by by IN A52264 1958 17 the the DT A52264 1958 18 19th 19th NN A52264 1958 19 . . . A52264 1959 1 of of IN A52264 1959 2 the the DT A52264 1959 3 second second JJ A52264 1959 4 Chapter chapter NN A52264 1959 5 of of IN A52264 1959 6 the the DT A52264 1959 7 first first JJ A52264 1959 8 Part Part NNP A52264 1959 9 ; ; : A52264 1959 10 and and CC A52264 1959 11 therefore therefore RB A52264 1959 12 WEA WEA NNP A52264 1959 13 is be VBZ A52264 1959 14 but but CC A52264 1959 15 half half PDT A52264 1959 16 the the DT A52264 1959 17 angle angle NN A52264 1959 18 WZA wza NN A52264 1959 19 and and CC A52264 1959 20 WEB WEB NNP A52264 1959 21 is be VBZ A52264 1959 22 but but CC A52264 1959 23 half half PDT A52264 1959 24 the the DT A52264 1959 25 angle angle NN A52264 1959 26 WZB WZB NNP A52264 1959 27 . . . A52264 1960 1 Now now RB A52264 1960 2 then then RB A52264 1960 3 if if IN A52264 1960 4 EZ EZ NNP A52264 1960 5 or or CC A52264 1960 6 Radius Radius NNP A52264 1960 7 of of IN A52264 1960 8 the the DT A52264 1960 9 fundamental fundamental JJ A52264 1960 10 Scheme Scheme NNP A52264 1960 11 be be VB A52264 1960 12 1000 1000 CD A52264 1960 13 , , , A52264 1960 14 ZP ZP NNP A52264 1960 15 shal shal NN A52264 1960 16 be be VBP A52264 1960 17 349 349 CD A52264 1960 18 , , , A52264 1960 19 the the DT A52264 1960 20 natural natural JJ A52264 1960 21 tangent tangent NN A52264 1960 22 of of IN A52264 1960 23 19 19 CD A52264 1960 24 degrees degree NNS A52264 1960 25 , , , A52264 1960 26 23 23 CD A52264 1960 27 minutes minute NNS A52264 1960 28 , , , A52264 1960 29 50 50 CD A52264 1960 30 seconds second NNS A52264 1960 31 , , , A52264 1960 32 the the DT A52264 1960 33 half half NN A52264 1960 34 of of IN A52264 1960 35 38 38 CD A52264 1960 36 degrees degree NNS A52264 1960 37 , , , A52264 1960 38 47 47 CD A52264 1960 39 minutes minute NNS A52264 1960 40 , , , A52264 1960 41 the the DT A52264 1960 42 distance distance NN A52264 1960 43 between between IN A52264 1960 44 the the DT A52264 1960 45 North North NNP A52264 1960 46 pole pole NN A52264 1960 47 and and CC A52264 1960 48 the the DT A52264 1960 49 Zenith Zenith NNP A52264 1960 50 in in IN A52264 1960 51 our -PRON- PRP$ A52264 1960 52 Latitude Latitude NNP A52264 1960 53 of of IN A52264 1960 54 51 51 CD A52264 1960 55 degrees degree NNS A52264 1960 56 , , , A52264 1960 57 53 53 CD A52264 1960 58 minutes minute NNS A52264 1960 59 , , , A52264 1960 60 or or CC A52264 1960 61 centesmes centesme NNS A52264 1960 62 of of IN A52264 1960 63 a a DT A52264 1960 64 degree degree NN A52264 1960 65 . . . A52264 1961 1 And and CC A52264 1961 2 the the DT A52264 1961 3 South South NNP A52264 1961 4 pole pole NN A52264 1961 5 being be VBG A52264 1961 6 as as RB A52264 1961 7 much much JJ A52264 1961 8 under under IN A52264 1961 9 the the DT A52264 1961 10 Horizon Horizon NNP A52264 1961 11 as as IN A52264 1961 12 the the DT A52264 1961 13 North North NNP A52264 1961 14 is be VBZ A52264 1961 15 above above IN A52264 1961 16 it -PRON- PRP A52264 1961 17 , , , A52264 1961 18 the the DT A52264 1961 19 distance distance NN A52264 1961 20 thereof thereof RB A52264 1961 21 from from IN A52264 1961 22 the the DT A52264 1961 23 Zenith Zenith NNP A52264 1961 24 must must MD A52264 1961 25 be be VB A52264 1961 26 the the DT A52264 1961 27 complement complement NN A52264 1961 28 of of IN A52264 1961 29 38 38 CD A52264 1961 30 degrees degree NNS A52264 1961 31 , , , A52264 1961 32 47 47 CD A52264 1961 33 minutes minute NNS A52264 1961 34 to to IN A52264 1961 35 a a DT A52264 1961 36 Semicircle Semicircle NNP A52264 1961 37 , , , A52264 1961 38 that that RB A52264 1961 39 is is RB A52264 1961 40 , , , A52264 1961 41 141 141 CD A52264 1961 42 degrees degree NNS A52264 1961 43 , , , A52264 1961 44 53 53 CD A52264 1961 45 minutes minute NNS A52264 1961 46 ; ; : A52264 1961 47 and and CC A52264 1961 48 as as IN A52264 1961 49 the the DT A52264 1961 50 half half NN A52264 1961 51 of of IN A52264 1961 52 38 38 CD A52264 1961 53 degrees degree NNS A52264 1961 54 , , , A52264 1961 55 47 47 CD A52264 1961 56 minutes minute NNS A52264 1961 57 , , , A52264 1961 58 viz viz NN A52264 1961 59 . . . A52264 1962 1 19 19 CD A52264 1962 2 degrees degree NNS A52264 1962 3 , , , A52264 1962 4 23 23 CD A52264 1962 5 minutes minute NNS A52264 1962 6 , , , A52264 1962 7 50 50 CD A52264 1962 8 seconds second NNS A52264 1962 9 is be VBZ A52264 1962 10 the the DT A52264 1962 11 quantity quantity NN A52264 1962 12 of of IN A52264 1962 13 the the DT A52264 1962 14 angle angle NN A52264 1962 15 PEZ PEZ NNP A52264 1962 16 , , , A52264 1962 17 and and CC A52264 1962 18 the the DT A52264 1962 19 tangent tangent NN A52264 1962 20 thereof thereof WDT A52264 1962 21 the the DT A52264 1962 22 distance distance NN A52264 1962 23 from from IN A52264 1962 24 Z Z NNP A52264 1962 25 to to IN A52264 1962 26 P p NN A52264 1962 27 , , , A52264 1962 28 so so CC A52264 1962 29 the the DT A52264 1962 30 half half NN A52264 1962 31 of of IN A52264 1962 32 141 141 CD A52264 1962 33 degrees degree NNS A52264 1962 34 , , , A52264 1962 35 53 53 CD A52264 1962 36 minutes minute NNS A52264 1962 37 , , , A52264 1962 38 viz viz NN A52264 1962 39 . . . A52264 1963 1 70 70 CD A52264 1963 2 degrees degree NNS A52264 1963 3 , , , A52264 1963 4 76 76 CD A52264 1963 5 minutes minute NNS A52264 1963 6 , , , A52264 1963 7 50 50 CD A52264 1963 8 seconds second NNS A52264 1963 9 must must MD A52264 1963 10 be be VB A52264 1963 11 the the DT A52264 1963 12 measure measure NN A52264 1963 13 of of IN A52264 1963 14 the the DT A52264 1963 15 angle angle NN A52264 1963 16 in in IN A52264 1963 17 the the DT A52264 1963 18 circumference circumference NN A52264 1963 19 between between IN A52264 1963 20 the the DT A52264 1963 21 Zenith Zenith NNP A52264 1963 22 and and CC A52264 1963 23 the the DT A52264 1963 24 South South NNP A52264 1963 25 , , , A52264 1963 26 the the DT A52264 1963 27 tangent tangent NN A52264 1963 28 whereof whereof IN A52264 1963 29 2866 2866 CD A52264 1963 30 must must MD A52264 1963 31 be be VB A52264 1963 32 the the DT A52264 1963 33 distance distance NN A52264 1963 34 also also RB A52264 1963 35 , , , A52264 1963 36 and and CC A52264 1963 37 the the DT A52264 1963 38 tangents tangent NNS A52264 1963 39 of of IN A52264 1963 40 these these DT A52264 1963 41 two two CD A52264 1963 42 arches arch NNS A52264 1963 43 added add VBN A52264 1963 44 together together RB A52264 1963 45 3215 3215 CD A52264 1963 46 , , , A52264 1963 47 is be VBZ A52264 1963 48 the the DT A52264 1963 49 whole whole JJ A52264 1963 50 diameter diameter NN A52264 1963 51 of of IN A52264 1963 52 that that DT A52264 1963 53 circle circle NN A52264 1963 54 , , , A52264 1963 55 the the DT A52264 1963 56 half half NN A52264 1963 57 whereof whereof NNP A52264 1963 58 1607 1607 CD A52264 1963 59 , , , A52264 1963 60 that that RB A52264 1963 61 is is RB A52264 1963 62 , , , A52264 1963 63 one one CD A52264 1963 64 Radius Radius NNP A52264 1963 65 , , , A52264 1963 66 and and CC A52264 1963 67 neer neer VB A52264 1963 68 61 61 CD A52264 1963 69 hundred hundred CD A52264 1963 70 parts part NNS A52264 1963 71 of of IN A52264 1963 72 another another DT A52264 1963 73 is be VBZ A52264 1963 74 the the DT A52264 1963 75 Semidiameter Semidiameter NNP A52264 1963 76 or or CC A52264 1963 77 distance distance NN A52264 1963 78 from from IN A52264 1963 79 P p NN A52264 1963 80 to to IN A52264 1963 81 L l NN A52264 1963 82 in in IN A52264 1963 83 the the DT A52264 1963 84 former former JJ A52264 1963 85 Scheme Scheme NNP A52264 1963 86 , , , A52264 1963 87 to to TO A52264 1963 88 which which WDT A52264 1963 89 extent extent NN A52264 1963 90 open open JJ A52264 1963 91 the the DT A52264 1963 92 compasses compass NNS A52264 1963 93 , , , A52264 1963 94 and and CC A52264 1963 95 set set VBD A52264 1963 96 off off RP A52264 1963 97 the the DT A52264 1963 98 distance distance NN A52264 1963 99 PL PL NNP A52264 1963 100 , , , A52264 1963 101 and and CC A52264 1963 102 therewith therewith NNP A52264 1963 103 draw draw VBP A52264 1963 104 the the DT A52264 1963 105 circle circle NN A52264 1963 106 WPE WPE NNP A52264 1963 107 for for IN A52264 1963 108 the the DT A52264 1963 109 six six CD A52264 1963 110 of of IN A52264 1963 111 the the DT A52264 1963 112 clock clock NN A52264 1963 113 hour hour NN A52264 1963 114 . . . A52264 1964 1 The the DT A52264 1964 2 Semidiameters Semidiameters NNPS A52264 1964 3 of of IN A52264 1964 4 the the DT A52264 1964 5 other other JJ A52264 1964 6 circles circle NNS A52264 1964 7 are be VBP A52264 1964 8 to to TO A52264 1964 9 be be VB A52264 1964 10 found find VBN A52264 1964 11 in in IN A52264 1964 12 the the DT A52264 1964 13 same same JJ A52264 1964 14 manner manner NN A52264 1964 15 : : : A52264 1964 16 the the DT A52264 1964 17 distance distance NN A52264 1964 18 between between IN A52264 1964 19 the the DT A52264 1964 20 Zenith Zenith NNP A52264 1964 21 and and CC A52264 1964 22 the the DT A52264 1964 23 Equinoctiall Equinoctiall NNP A52264 1964 24 is be VBZ A52264 1964 25 alwayes alwayes NNP A52264 1964 26 equal equal JJ A52264 1964 27 to to IN A52264 1964 28 the the DT A52264 1964 29 height height NN A52264 1964 30 of of IN A52264 1964 31 the the DT A52264 1964 32 Pole Pole NNP A52264 1964 33 , , , A52264 1964 34 which which WDT A52264 1964 35 in in IN A52264 1964 36 our -PRON- PRP$ A52264 1964 37 Latitude Latitude NNP A52264 1964 38 is be VBZ A52264 1964 39 51 51 CD A52264 1964 40 degr degr NN A52264 1964 41 . . . A52264 1965 1 53 53 CD A52264 1965 2 min min NN A52264 1965 3 . . . A52264 1966 1 and and CC A52264 1966 2 therefore therefore RB A52264 1966 3 the the DT A52264 1966 4 half half NN A52264 1966 5 thereof thereof RB A52264 1966 6 25 25 CD A52264 1966 7 degrees degree NNS A52264 1966 8 , , , A52264 1966 9 76 76 CD A52264 1966 10 minutes minute NNS A52264 1966 11 , , , A52264 1966 12 50 50 CD A52264 1966 13 seconds second NNS A52264 1966 14 is be VBZ A52264 1966 15 the the DT A52264 1966 16 measure measure NN A52264 1966 17 of of IN A52264 1966 18 the the DT A52264 1966 19 angle angle NN A52264 1966 20 WEB WEB NNP A52264 1966 21 , , , A52264 1966 22 and and CC A52264 1966 23 the the DT A52264 1966 24 natural natural JJ A52264 1966 25 tangent tangent NN A52264 1966 26 thereof thereof IN A52264 1966 27 483 483 CD A52264 1966 28 , , , A52264 1966 29 which which WDT A52264 1966 30 being be VBG A52264 1966 31 added add VBN A52264 1966 32 to to IN A52264 1966 33 the the DT A52264 1966 34 tangent tangent NN A52264 1966 35 of of IN A52264 1966 36 the the DT A52264 1966 37 complement complement NN A52264 1966 38 2070 2070 CD A52264 1966 39 , , , A52264 1966 40 their -PRON- PRP$ A52264 1966 41 aggregate aggregate JJ A52264 1966 42 2553 2553 CD A52264 1966 43 will will MD A52264 1966 44 be be VB A52264 1966 45 the the DT A52264 1966 46 whole whole JJ A52264 1966 47 diameter diameter NN A52264 1966 48 of of IN A52264 1966 49 that that DT A52264 1966 50 circle circle NN A52264 1966 51 , , , A52264 1966 52 and and CC A52264 1966 53 1277 1277 CD A52264 1966 54 the the DT A52264 1966 55 Radius Radius NNP A52264 1966 56 or or CC A52264 1966 57 Semidiameter Semidiameter NNP A52264 1966 58 by by IN A52264 1966 59 which which WDT A52264 1966 60 to to TO A52264 1966 61 draw draw VB A52264 1966 62 the the DT A52264 1966 63 Equinoctiall Equinoctiall NNP A52264 1966 64 circle circle NN A52264 1966 65 EKW ekw NN A52264 1966 66 . . . A52264 1967 1 The the DT A52264 1967 2 Tropique tropique NN A52264 1967 3 of of IN A52264 1967 4 Cancer Cancer NNP A52264 1967 5 is be VBZ A52264 1967 6 23 23 CD A52264 1967 7 degrees degree NNS A52264 1967 8 , , , A52264 1967 9 53 53 CD A52264 1967 10 minutes minute NNS A52264 1967 11 above above IN A52264 1967 12 the the DT A52264 1967 13 Equator Equator NNP A52264 1967 14 , , , A52264 1967 15 and and CC A52264 1967 16 66 66 CD A52264 1967 17 degrees degree NNS A52264 1967 18 47 47 CD A52264 1967 19 minutes minute NNS A52264 1967 20 distant distant JJ A52264 1967 21 from from IN A52264 1967 22 the the DT A52264 1967 23 Pole Pole NNP A52264 1967 24 , , , A52264 1967 25 and and CC A52264 1967 26 the the DT A52264 1967 27 Pole Pole NNP A52264 1967 28 in in IN A52264 1967 29 this this DT A52264 1967 30 Latitude Latitude NNP A52264 1967 31 is be VBZ A52264 1967 32 38 38 CD A52264 1967 33 degrees degree NNS A52264 1967 34 47 47 CD A52264 1967 35 min min NN A52264 1967 36 . . . A52264 1968 1 distant distant JJ A52264 1968 2 from from IN A52264 1968 3 the the DT A52264 1968 4 Zenith Zenith NNP A52264 1968 5 , , , A52264 1968 6 which which WDT A52264 1968 7 being be VBG A52264 1968 8 substracted substracte VBN A52264 1968 9 from from IN A52264 1968 10 66 66 CD A52264 1968 11 degrees degree NNS A52264 1968 12 47 47 CD A52264 1968 13 minutes minute NNS A52264 1968 14 , , , A52264 1968 15 the the DT A52264 1968 16 distance distance NN A52264 1968 17 of of IN A52264 1968 18 the the DT A52264 1968 19 Tropique Tropique NNP A52264 1968 20 of of IN A52264 1968 21 Cancer Cancer NNP A52264 1968 22 from from IN A52264 1968 23 the the DT A52264 1968 24 Zenith Zenith NNP A52264 1968 25 , , , A52264 1968 26 will will MD A52264 1968 27 be be VB A52264 1968 28 28 28 CD A52264 1968 29 , , , A52264 1968 30 the the DT A52264 1968 31 half half NN A52264 1968 32 thereof thereof RB A52264 1968 33 is be VBZ A52264 1968 34 14 14 CD A52264 1968 35 , , , A52264 1968 36 whose whose WP$ A52264 1968 37 natural natural JJ A52264 1968 38 tangent tangent NN A52264 1968 39 249 249 CD A52264 1968 40 being be VBG A52264 1968 41 set set VBN A52264 1968 42 from from IN A52264 1968 43 Z z NN A52264 1968 44 to to IN A52264 1968 45 T t NN A52264 1968 46 , , , A52264 1968 47 giveth giveth VBZ A52264 1968 48 the the DT A52264 1968 49 point point NN A52264 1968 50 T t NN A52264 1968 51 in in IN A52264 1968 52 the the DT A52264 1968 53 Meridian Meridian NNP A52264 1968 54 , , , A52264 1968 55 by by IN A52264 1968 56 which which WDT A52264 1968 57 that that DT A52264 1968 58 parallel parallel NN A52264 1968 59 must must MD A52264 1968 60 passe passe VB A52264 1968 61 ; ; : A52264 1968 62 the the DT A52264 1968 63 distance distance NN A52264 1968 64 thereof thereof RB A52264 1968 65 from from IN A52264 1968 66 the the DT A52264 1968 67 Zenith Zenith NNP A52264 1968 68 on on IN A52264 1968 69 the the DT A52264 1968 70 North North NNP A52264 1968 71 side side NN A52264 1968 72 is be VBZ A52264 1968 73 TN TN NNP A52264 1968 74 90 90 CD A52264 1968 75 degrees degree NNS A52264 1968 76 , , , A52264 1968 77 and and CC A52264 1968 78 substracting substracte VBG A52264 1968 79 23 23 CD A52264 1968 80 degrees degree NNS A52264 1968 81 , , , A52264 1968 82 53 53 CD A52264 1968 83 minutes minute NNS A52264 1968 84 , , , A52264 1968 85 the the DT A52264 1968 86 height height NN A52264 1968 87 of of IN A52264 1968 88 the the DT A52264 1968 89 Tropique Tropique NNP A52264 1968 90 above above IN A52264 1968 91 the the DT A52264 1968 92 Equator equator NN A52264 1968 93 , , , A52264 1968 94 from from IN A52264 1968 95 38 38 CD A52264 1968 96 degrees degree NNS A52264 1968 97 , , , A52264 1968 98 47 47 CD A52264 1968 99 minutes minute NNS A52264 1968 100 , , , A52264 1968 101 the the DT A52264 1968 102 height height NN A52264 1968 103 of of IN A52264 1968 104 the the DT A52264 1968 105 Equator Equator NNP A52264 1968 106 above above IN A52264 1968 107 the the DT A52264 1968 108 Horizon Horizon NNP A52264 1968 109 , , , A52264 1968 110 their -PRON- PRP$ A52264 1968 111 difference difference NN A52264 1968 112 is be VBZ A52264 1968 113 14 14 CD A52264 1968 114 degrees degree NNS A52264 1968 115 , , , A52264 1968 116 94 94 CD A52264 1968 117 minutes minute NNS A52264 1968 118 , , , A52264 1968 119 the the DT A52264 1968 120 distance distance NN A52264 1968 121 of of IN A52264 1968 122 the the DT A52264 1968 123 Tropique Tropique NNP A52264 1968 124 from from IN A52264 1968 125 N n NN A52264 1968 126 under under IN A52264 1968 127 the the DT A52264 1968 128 Horizon Horizon NNP A52264 1968 129 ; ; : A52264 1968 130 and and CC A52264 1968 131 so so RB A52264 1968 132 the the DT A52264 1968 133 whole whole JJ A52264 1968 134 distance distance NN A52264 1968 135 thereof thereof RB A52264 1968 136 from from IN A52264 1968 137 Z Z NNP A52264 1968 138 is be VBZ A52264 1968 139 104 104 CD A52264 1968 140 degrees degree NNS A52264 1968 141 , , , A52264 1968 142 94 94 CD A52264 1968 143 minutes minute NNS A52264 1968 144 , , , A52264 1968 145 the the DT A52264 1968 146 half half NN A52264 1968 147 whereof whereof NN A52264 1968 148 is be VBZ A52264 1968 149 52 52 CD A52264 1968 150 degrees degree NNS A52264 1968 151 , , , A52264 1968 152 47 47 CD A52264 1968 153 minutes minute NNS A52264 1968 154 , , , A52264 1968 155 and and CC A52264 1968 156 the the DT A52264 1968 157 natural natural JJ A52264 1968 158 tangent tangent NN A52264 1968 159 thereof thereof WRB A52264 1968 160 1302 1302 CD A52264 1968 161 added add VBD A52264 1968 162 to to IN A52264 1968 163 the the DT A52264 1968 164 former former JJ A52264 1968 165 tangent tangent NN A52264 1968 166 249 249 CD A52264 1968 167 , , , A52264 1968 168 giveth giveth VBZ A52264 1968 169 the the DT A52264 1968 170 whole whole JJ A52264 1968 171 diameter diameter NN A52264 1968 172 of of IN A52264 1968 173 that that DT A52264 1968 174 circle circle NN A52264 1968 175 1551 1551 CD A52264 1968 176 , , , A52264 1968 177 whose whose WP$ A52264 1968 178 half half NN A52264 1968 179 776 776 CD A52264 1968 180 is be VBZ A52264 1968 181 the the DT A52264 1968 182 Semidiameter Semidiameter NNP A52264 1968 183 desired desire VBD A52264 1968 184 , , , A52264 1968 185 and and CC A52264 1968 186 gives give VBZ A52264 1968 187 the the DT A52264 1968 188 center center NN A52264 1968 189 to to TO A52264 1968 190 draw draw VB A52264 1968 191 that that IN A52264 1968 192 circle circle NN A52264 1968 193 by by IN A52264 1968 194 . . . A52264 1969 1 The the DT A52264 1969 2 Tropique Tropique NNP A52264 1969 3 of of IN A52264 1969 4 Capricorn Capricorn NNP A52264 1969 5 is be VBZ A52264 1969 6 23 23 CD A52264 1969 7 degrees degree NNS A52264 1969 8 , , , A52264 1969 9 53 53 CD A52264 1969 10 minutes minute NNS A52264 1969 11 below below IN A52264 1969 12 the the DT A52264 1969 13 Equator equator NN A52264 1969 14 , , , A52264 1969 15 and and CC A52264 1969 16 therefore therefore RB A52264 1969 17 113 113 CD A52264 1969 18 degrees degree NNS A52264 1969 19 53 53 CD A52264 1969 20 minutes minute NNS A52264 1969 21 from from IN A52264 1969 22 the the DT A52264 1969 23 North North NNP A52264 1969 24 pole pole NN A52264 1969 25 , , , A52264 1969 26 from from IN A52264 1969 27 which which WDT A52264 1969 28 if if IN A52264 1969 29 you -PRON- PRP A52264 1969 30 deduct deduct VBP A52264 1969 31 , , , A52264 1969 32 as as IN A52264 1969 33 before before RB A52264 1969 34 , , , A52264 1969 35 38 38 CD A52264 1969 36 degrees degree NNS A52264 1969 37 , , , A52264 1969 38 47 47 CD A52264 1969 39 minutes minute NNS A52264 1969 40 , , , A52264 1969 41 the the DT A52264 1969 42 distance distance NN A52264 1969 43 of of IN A52264 1969 44 the the DT A52264 1969 45 Pole Pole NNP A52264 1969 46 from from IN A52264 1969 47 the the DT A52264 1969 48 Zenith Zenith NNP A52264 1969 49 , , , A52264 1969 50 the the DT A52264 1969 51 distance distance NN A52264 1969 52 of of IN A52264 1969 53 the the DT A52264 1969 54 Tropique Tropique NNP A52264 1969 55 of of IN A52264 1969 56 Capricorn Capricorn NNP A52264 1969 57 from from IN A52264 1969 58 the the DT A52264 1969 59 Zenith Zenith NNP A52264 1969 60 will will MD A52264 1969 61 be be VB A52264 1969 62 75 75 CD A52264 1969 63 degrees degree NNS A52264 1969 64 , , , A52264 1969 65 6 6 CD A52264 1969 66 minutes minute NNS A52264 1969 67 , , , A52264 1969 68 and and CC A52264 1969 69 the the DT A52264 1969 70 half half NN A52264 1969 71 thereof thereof RB A52264 1969 72 37 37 CD A52264 1969 73 degrees degree NNS A52264 1969 74 , , , A52264 1969 75 53 53 CD A52264 1969 76 minutes minute NNS A52264 1969 77 , , , A52264 1969 78 whose whose WP$ A52264 1969 79 natural natural JJ A52264 1969 80 tangent tangent NN A52264 1969 81 768 768 CD A52264 1969 82 being be VBG A52264 1969 83 set set VBN A52264 1969 84 from from IN A52264 1969 85 Z Z NNP A52264 1969 86 to to IN A52264 1969 87 F F NNP A52264 1969 88 , , , A52264 1969 89 giveth giveth VBZ A52264 1969 90 the the DT A52264 1969 91 point point NN A52264 1969 92 F F NNP A52264 1969 93 in in IN A52264 1969 94 the the DT A52264 1969 95 Meridian Meridian NNP A52264 1969 96 , , , A52264 1969 97 by by IN A52264 1969 98 which which WDT A52264 1969 99 that that DT A52264 1969 100 parallel parallel NN A52264 1969 101 must must MD A52264 1969 102 pass pass VB A52264 1969 103 : : : A52264 1969 104 the the DT A52264 1969 105 distance distance NN A52264 1969 106 thereof thereof RB A52264 1969 107 from from IN A52264 1969 108 the the DT A52264 1969 109 Zenith Zenith NNP A52264 1969 110 on on IN A52264 1969 111 the the DT A52264 1969 112 North North NNP A52264 1969 113 side side NN A52264 1969 114 is be VBZ A52264 1969 115 ZN ZN NNP A52264 1969 116 90 90 CD A52264 1969 117 degrees degree NNS A52264 1969 118 , , , A52264 1969 119 as as IN A52264 1969 120 before before RB A52264 1969 121 ; ; : A52264 1969 122 and and CC A52264 1969 123 adding add VBG A52264 1969 124 23 23 CD A52264 1969 125 degrees degree NNS A52264 1969 126 , , , A52264 1969 127 53 53 CD A52264 1969 128 minutes minute NNS A52264 1969 129 , , , A52264 1969 130 the the DT A52264 1969 131 distance distance NN A52264 1969 132 of of IN A52264 1969 133 the the DT A52264 1969 134 Tropique Tropique NNP A52264 1969 135 from from IN A52264 1969 136 the the DT A52264 1969 137 Equator equator NN A52264 1969 138 to to IN A52264 1969 139 38 38 CD A52264 1969 140 degrees degree NNS A52264 1969 141 , , , A52264 1969 142 47 47 CD A52264 1969 143 minutes minute NNS A52264 1969 144 , , , A52264 1969 145 the the DT A52264 1969 146 distance distance NN A52264 1969 147 of of IN A52264 1969 148 the the DT A52264 1969 149 Equator Equator NNP A52264 1969 150 from from IN A52264 1969 151 the the DT A52264 1969 152 Horizon Horizon NNP A52264 1969 153 , , , A52264 1969 154 their -PRON- PRP$ A52264 1969 155 aggregate aggregate NN A52264 1969 156 is be VBZ A52264 1969 157 62 62 CD A52264 1969 158 degrees degree NNS A52264 1969 159 , , , A52264 1969 160 the the DT A52264 1969 161 distance distance NN A52264 1969 162 of of IN A52264 1969 163 the the DT A52264 1969 164 Tropique Tropique NNP A52264 1969 165 from from IN A52264 1969 166 the the DT A52264 1969 167 Horizon Horizon NNP A52264 1969 168 , , , A52264 1969 169 which which WDT A52264 1969 170 being be VBG A52264 1969 171 added add VBN A52264 1969 172 to to IN A52264 1969 173 ZN ZN NNP A52264 1969 174 90 90 CD A52264 1969 175 degrees degree NNS A52264 1969 176 , , , A52264 1969 177 their -PRON- PRP$ A52264 1969 178 aggregate aggregate NN A52264 1969 179 is be VBZ A52264 1969 180 152 152 CD A52264 1969 181 degrees degree NNS A52264 1969 182 , , , A52264 1969 183 and and CC A52264 1969 184 the the DT A52264 1969 185 half half NN A52264 1969 186 thereof thereof RB A52264 1969 187 76 76 CD A52264 1969 188 degrees degree NNS A52264 1969 189 , , , A52264 1969 190 whose whose WP$ A52264 1969 191 natural natural JJ A52264 1969 192 tangent tangent NN A52264 1969 193 4011 4011 CD A52264 1969 194 being be VBG A52264 1969 195 added add VBN A52264 1969 196 to to IN A52264 1969 197 the the DT A52264 1969 198 former former JJ A52264 1969 199 tangent tangent NN A52264 1969 200 768 768 CD A52264 1969 201 , , , A52264 1969 202 giveth giveth VBZ A52264 1969 203 the the DT A52264 1969 204 whole whole JJ A52264 1969 205 diameter diameter NN A52264 1969 206 of of IN A52264 1969 207 that that DT A52264 1969 208 circle circle NN A52264 1969 209 4.779 4.779 CD A52264 1969 210 , , , A52264 1969 211 whose whose WP$ A52264 1969 212 half half NN A52264 1969 213 2.389 2.389 CD A52264 1969 214 is be VBZ A52264 1969 215 the the DT A52264 1969 216 Semidiameter Semidiameter NNP A52264 1969 217 desired desire VBN A52264 1969 218 , , , A52264 1969 219 and and CC A52264 1969 220 gives give VBZ A52264 1969 221 the the DT A52264 1969 222 center center NN A52264 1969 223 to to TO A52264 1969 224 draw draw VB A52264 1969 225 that that IN A52264 1969 226 circle circle NN A52264 1969 227 by by IN A52264 1969 228 . . . A52264 1970 1 The the DT A52264 1970 2 distance distance NN A52264 1970 3 of of IN A52264 1970 4 the the DT A52264 1970 5 reclining recline VBG A52264 1970 6 circle circle NN A52264 1970 7 NOS NOS NNP A52264 1970 8 from from IN A52264 1970 9 Z z NN A52264 1970 10 to to IN A52264 1970 11 O o NN A52264 1970 12 is be VBZ A52264 1970 13 40 40 CD A52264 1970 14 degrees degree NNS A52264 1970 15 , , , A52264 1970 16 the the DT A52264 1970 17 half half NN A52264 1970 18 thereof thereof RB A52264 1970 19 20 20 CD A52264 1970 20 , , , A52264 1970 21 whose whose WP$ A52264 1970 22 naturall naturall JJ A52264 1970 23 tangent tangent NN A52264 1970 24 3.64 3.64 CD A52264 1970 25 set set VBD A52264 1970 26 from from IN A52264 1970 27 Z z NN A52264 1970 28 to to IN A52264 1970 29 O o NN A52264 1970 30 , , , A52264 1970 31 giveth giveth VBZ A52264 1970 32 the the DT A52264 1970 33 point point NN A52264 1970 34 O o UH A52264 1970 35 in in IN A52264 1970 36 the the DT A52264 1970 37 prime prime JJ A52264 1970 38 vertical vertical JJ A52264 1970 39 EZW EZW NNP A52264 1970 40 , , , A52264 1970 41 by by IN A52264 1970 42 which which WDT A52264 1970 43 that that IN A52264 1970 44 circle circle NN A52264 1970 45 must must MD A52264 1970 46 pass pass VB A52264 1970 47 ; ; : A52264 1970 48 the the DT A52264 1970 49 distance distance NN A52264 1970 50 thereof thereof RB A52264 1970 51 from from IN A52264 1970 52 the the DT A52264 1970 53 Zenith Zenith NNP A52264 1970 54 on on IN A52264 1970 55 the the DT A52264 1970 56 East East NNP A52264 1970 57 side side NN A52264 1970 58 is be VBZ A52264 1970 59 ZE ZE NNP A52264 1970 60 90 90 CD A52264 1970 61 degrees degree NNS A52264 1970 62 , , , A52264 1970 63 to to TO A52264 1970 64 which which WDT A52264 1970 65 adding add VBG A52264 1970 66 50 50 CD A52264 1970 67 degrees degree NNS A52264 1970 68 , , , A52264 1970 69 the the DT A52264 1970 70 complement complement NN A52264 1970 71 of of IN A52264 1970 72 the the DT A52264 1970 73 former former JJ A52264 1970 74 arch arch NN A52264 1970 75 , , , A52264 1970 76 their -PRON- PRP$ A52264 1970 77 aggregate aggregate JJ A52264 1970 78 140 140 CD A52264 1970 79 degrees degree NNS A52264 1970 80 is be VBZ A52264 1970 81 the the DT A52264 1970 82 distance distance NN A52264 1970 83 from from IN A52264 1970 84 Z Z NNP A52264 1970 85 Eastward Eastward NNP A52264 1970 86 , , , A52264 1970 87 and and CC A52264 1970 88 the the DT A52264 1970 89 half half NN A52264 1970 90 thereof thereof RB A52264 1970 91 70 70 CD A52264 1970 92 degrees degree NNS A52264 1970 93 , , , A52264 1970 94 whose whose WP$ A52264 1970 95 natural natural JJ A52264 1970 96 tangent tangent NN A52264 1970 97 2747 2747 CD A52264 1970 98 being be VBG A52264 1970 99 added add VBN A52264 1970 100 to to IN A52264 1970 101 the the DT A52264 1970 102 former former JJ A52264 1970 103 tangent tangent NN A52264 1970 104 364 364 CD A52264 1970 105 , , , A52264 1970 106 their -PRON- PRP$ A52264 1970 107 aggregate aggregate NN A52264 1970 108 3111 3111 CD A52264 1970 109 is be VBZ A52264 1970 110 the the DT A52264 1970 111 whole whole JJ A52264 1970 112 diameter diameter NN A52264 1970 113 of of IN A52264 1970 114 that that DT A52264 1970 115 circle circle NN A52264 1970 116 , , , A52264 1970 117 and and CC A52264 1970 118 the the DT A52264 1970 119 half half NN A52264 1970 120 thereof thereof RB A52264 1970 121 1555 1555 CD A52264 1970 122 is be VBZ A52264 1970 123 the the DT A52264 1970 124 Semidiameter Semidiameter NNP A52264 1970 125 desired desire VBD A52264 1970 126 , , , A52264 1970 127 and and CC A52264 1970 128 gives give VBZ A52264 1970 129 the the DT A52264 1970 130 center center NN A52264 1970 131 to to TO A52264 1970 132 draw draw VB A52264 1970 133 that that IN A52264 1970 134 circle circle NN A52264 1970 135 by by IN A52264 1970 136 . . . A52264 1971 1 The the DT A52264 1971 2 distance distance NN A52264 1971 3 of of IN A52264 1971 4 the the DT A52264 1971 5 declining decline VBG A52264 1971 6 reclining recline VBG A52264 1971 7 circle circle NN A52264 1971 8 DAG DAG NNP A52264 1971 9 from from IN A52264 1971 10 the the DT A52264 1971 11 Zenith Zenith NNP A52264 1971 12 is be VBZ A52264 1971 13 ZA ZA NNP A52264 1971 14 35 35 CD A52264 1971 15 deg deg NNP A52264 1971 16 . . . A52264 1972 1 the the DT A52264 1972 2 half half NN A52264 1972 3 thereof thereof VBD A52264 1972 4 17 17 CD A52264 1972 5 degrees degree NNS A52264 1972 6 , , , A52264 1972 7 50 50 CD A52264 1972 8 minutes minute NNS A52264 1972 9 , , , A52264 1972 10 whose whose WP$ A52264 1972 11 natural natural JJ A52264 1972 12 tangent tangent NN A52264 1972 13 315 315 CD A52264 1972 14 being be VBG A52264 1972 15 set set VBN A52264 1972 16 from from IN A52264 1972 17 Z Z NNP A52264 1972 18 to to IN A52264 1972 19 A a NN A52264 1972 20 , , , A52264 1972 21 giveth giveth VBZ A52264 1972 22 the the DT A52264 1972 23 point point NN A52264 1972 24 by by IN A52264 1972 25 which which WDT A52264 1972 26 that that IN A52264 1972 27 circle circle NN A52264 1972 28 must must MD A52264 1972 29 passe passe VB A52264 1972 30 , , , A52264 1972 31 and and CC A52264 1972 32 the the DT A52264 1972 33 natural natural JJ A52264 1972 34 tangent tangent NN A52264 1972 35 of of IN A52264 1972 36 7 7 CD A52264 1972 37 ● ● SYM A52264 1972 38 degr degr NN A52264 1972 39 . . . A52264 1973 1 50 50 CD A52264 1973 2 min min NN A52264 1973 3 . . . A52264 1974 1 the the DT A52264 1974 2 complement complement NN A52264 1974 3 thereof thereof VBD A52264 1974 4 317 317 CD A52264 1974 5 ● ● CD A52264 1974 6 being be VBG A52264 1974 7 added add VBN A52264 1974 8 thereto thereto NNP A52264 1974 9 is be VBZ A52264 1974 10 3486 3486 CD A52264 1974 11 , , , A52264 1974 12 the the DT A52264 1974 13 whole whole JJ A52264 1974 14 diameter diameter NN A52264 1974 15 of of IN A52264 1974 16 the the DT A52264 1974 17 circle circle NN A52264 1974 18 , , , A52264 1974 19 and and CC A52264 1974 20 the the DT A52264 1974 21 half half NN A52264 1974 22 thereof thereof IN A52264 1974 23 1743 1743 CD A52264 1974 24 , , , A52264 1974 25 the the DT A52264 1974 26 Semidiameter Semidiameter NNP A52264 1974 27 desired desire VBD A52264 1974 28 , , , A52264 1974 29 and and CC A52264 1974 30 giveth giveth VBZ A52264 1974 31 the the DT A52264 1974 32 center center NN A52264 1974 33 to to TO A52264 1974 34 draw draw VB A52264 1974 35 that that IN A52264 1974 36 circle circle NN A52264 1974 37 by by IN A52264 1974 38 . . . A52264 1975 1 The the DT A52264 1975 2 streight streight JJ A52264 1975 3 lines line NNS A52264 1975 4 CZA CZA NNP A52264 1975 5 or or CC A52264 1975 6 DZG DZG NNP A52264 1975 7 are be VBP A52264 1975 8 put put VBN A52264 1975 9 upon upon IN A52264 1975 10 the the DT A52264 1975 11 limbe limbe NN A52264 1975 12 by by IN A52264 1975 13 help help NN A52264 1975 14 of of IN A52264 1975 15 a a DT A52264 1975 16 line line NN A52264 1975 17 of of IN A52264 1975 18 Chords chord NNS A52264 1975 19 30 30 CD A52264 1975 20 degrees degree NNS A52264 1975 21 distant distant JJ A52264 1975 22 from from IN A52264 1975 23 the the DT A52264 1975 24 Cardinal cardinal JJ A52264 1975 25 points point NNS A52264 1975 26 NESW NESW NNP A52264 1975 27 , , , A52264 1975 28 and and CC A52264 1975 29 must must MD A52264 1975 30 crosse crosse VB A52264 1975 31 each each DT A52264 1975 32 other other JJ A52264 1975 33 at at IN A52264 1975 34 right right JJ A52264 1975 35 angles angle NNS A52264 1975 36 in in IN A52264 1975 37 Z z NN A52264 1975 38 , , , A52264 1975 39 representing represent VBG A52264 1975 40 two two CD A52264 1975 41 Azimuths azimuth NNS A52264 1975 42 equidistant equidistant JJ A52264 1975 43 from from IN A52264 1975 44 the the DT A52264 1975 45 Meridian meridian JJ A52264 1975 46 and and CC A52264 1975 47 prime prime JJ A52264 1975 48 verticall verticall NN A52264 1975 49 . . . A52264 1976 1 Last last JJ A52264 1976 2 of of IN A52264 1976 3 all all DT A52264 1976 4 , , , A52264 1976 5 the the DT A52264 1976 6 hour hour NN A52264 1976 7 - - HYPH A52264 1976 8 circles circle NNS A52264 1976 9 are be VBP A52264 1976 10 thus thus RB A52264 1976 11 to to TO A52264 1976 12 be be VB A52264 1976 13 drawn draw VBN A52264 1976 14 ; ; : A52264 1976 15 first first RB A52264 1976 16 , , , A52264 1976 17 seek seek VB A52264 1976 18 the the DT A52264 1976 19 center center NN A52264 1976 20 of of IN A52264 1976 21 the the DT A52264 1976 22 six six CD A52264 1976 23 of of IN A52264 1976 24 clock clock NN A52264 1976 25 hour hour NN A52264 1976 26 - - HYPH A52264 1976 27 circle circle NN A52264 1976 28 , , , A52264 1976 29 as as IN A52264 1976 30 formerly formerly RB A52264 1976 31 directed direct VBN A52264 1976 32 , , , A52264 1976 33 making make VBG A52264 1976 34 ZE ze VB A52264 1976 35 the the DT A52264 1976 36 Radius Radius NNP A52264 1976 37 , , , A52264 1976 38 and and CC A52264 1976 39 is be VBZ A52264 1976 40 found find VBN A52264 1976 41 at at IN A52264 1976 42 L l NN A52264 1976 43 upon upon IN A52264 1976 44 the the DT A52264 1976 45 Meridian meridian JJ A52264 1976 46 line line NN A52264 1976 47 continued continue VBD A52264 1976 48 from from IN A52264 1976 49 P p NN A52264 1976 50 to to IN A52264 1976 51 L L NNP A52264 1976 52 , , , A52264 1976 53 which which WDT A52264 1976 54 cross cross VBP A52264 1976 55 at at IN A52264 1976 56 right right JJ A52264 1976 57 angles angle NNS A52264 1976 58 in in IN A52264 1976 59 L l NN A52264 1976 60 with with IN A52264 1976 61 the the DT A52264 1976 62 line line NN A52264 1976 63 8 8 CD A52264 1976 64 L l NN A52264 1976 65 4 4 CD A52264 1976 66 , , , A52264 1976 67 extended extend VBD A52264 1976 68 far far RB A52264 1976 69 enough enough RB A52264 1976 70 to to TO A52264 1976 71 serve serve VB A52264 1976 72 the the DT A52264 1976 73 turn turn NN A52264 1976 74 , , , A52264 1976 75 make make VBP A52264 1976 76 PL PL NNP A52264 1976 77 the the DT A52264 1976 78 Radius Radius NNP A52264 1976 79 , , , A52264 1976 80 then then RB A52264 1976 81 shall shall MD A52264 1976 82 8 8 CD A52264 1976 83 L l NN A52264 1976 84 4 4 CD A52264 1976 85 be be VB A52264 1976 86 a a DT A52264 1976 87 tangent tangent JJ A52264 1976 88 line line NN A52264 1976 89 thereunto thereunto NNS A52264 1976 90 , , , A52264 1976 91 and and CC A52264 1976 92 the the DT A52264 1976 93 natural natural JJ A52264 1976 94 tangents tangent NNS A52264 1976 95 of of IN A52264 1976 96 the the DT A52264 1976 97 Equinoctiall Equinoctiall NNP A52264 1976 98 hour hour NN A52264 1976 99 arches arch VBZ A52264 1976 100 , , , A52264 1976 101 that that DT A52264 1976 102 is be VBZ A52264 1976 103 the the DT A52264 1976 104 tangent tangent NN A52264 1976 105 of of IN A52264 1976 106 15 15 CD A52264 1976 107 degrees degree NNS A52264 1976 108 268 268 CD A52264 1976 109 for for IN A52264 1976 110 one one CD A52264 1976 111 hour hour NN A52264 1976 112 , , , A52264 1976 113 of of IN A52264 1976 114 30 30 CD A52264 1976 115 degr degr NN A52264 1976 116 . . . A52264 1977 1 577 577 CD A52264 1977 2 for for IN A52264 1977 3 two two CD A52264 1977 4 , , , A52264 1977 5 hours hour NNS A52264 1977 6 , , , A52264 1977 7 of of IN A52264 1977 8 45 45 CD A52264 1977 9 degrees degree NNS A52264 1977 10 1000 1000 CD A52264 1977 11 for for IN A52264 1977 12 three three CD A52264 1977 13 hours hour NNS A52264 1977 14 of of IN A52264 1977 15 60 60 CD A52264 1977 16 deg deg NN A52264 1977 17 . . . A52264 1978 1 1732 1732 CD A52264 1978 2 for for IN A52264 1978 3 four four CD A52264 1978 4 hours hour NNS A52264 1978 5 , , , A52264 1978 6 and and CC A52264 1978 7 75 75 CD A52264 1978 8 deg deg NN A52264 1978 9 . . . A52264 1979 1 3732 3732 CD A52264 1979 2 for for IN A52264 1979 3 five five CD A52264 1979 4 hours hour NNS A52264 1979 5 set set VBN A52264 1979 6 upon upon IN A52264 1979 7 the the DT A52264 1979 8 line line NN A52264 1979 9 from from IN A52264 1979 10 L l NN A52264 1979 11 both both DT A52264 1979 12 wayes waye NNS A52264 1979 13 , , , A52264 1979 14 that that RB A52264 1979 15 is is RB A52264 1979 16 , , , A52264 1979 17 from from IN A52264 1979 18 L L NNP A52264 1979 19 to to IN A52264 1979 20 5 5 CD A52264 1979 21 and and CC A52264 1979 22 7 7 CD A52264 1979 23 , , , A52264 1979 24 4 4 CD A52264 1979 25 and and CC A52264 1979 26 8 8 CD A52264 1979 27 , , , A52264 1979 28 and and CC A52264 1979 29 will will MD A52264 1979 30 give give VB A52264 1979 31 the the DT A52264 1979 32 true true JJ A52264 1979 33 center center NN A52264 1979 34 of of IN A52264 1979 35 those those DT A52264 1979 36 hour hour NN A52264 1979 37 - - HYPH A52264 1979 38 circles circle NNS A52264 1979 39 : : : A52264 1979 40 thus thus RB A52264 1979 41 , , , A52264 1979 42 5 5 CD A52264 1979 43 upon upon IN A52264 1979 44 the the DT A52264 1979 45 line line NN A52264 1979 46 8 8 CD A52264 1979 47 L l NN A52264 1979 48 4 4 CD A52264 1979 49 is be VBZ A52264 1979 50 the the DT A52264 1979 51 center center NN A52264 1979 52 of of IN A52264 1979 53 the the DT A52264 1979 54 hour hour NN A52264 1979 55 - - HYPH A52264 1979 56 circle circle NN A52264 1979 57 5 5 CD A52264 1979 58 P p NN A52264 1979 59 5 5 CD A52264 1979 60 , , , A52264 1979 61 and and CC A52264 1979 62 7 7 CD A52264 1979 63 the the DT A52264 1979 64 center center NN A52264 1979 65 of of IN A52264 1979 66 the the DT A52264 1979 67 hour hour NN A52264 1979 68 - - HYPH A52264 1979 69 circle circle NN A52264 1979 70 7 7 CD A52264 1979 71 P p NN A52264 1979 72 7 7 CD A52264 1979 73 ; ; : A52264 1979 74 and and CC A52264 1979 75 so so RB A52264 1979 76 of of IN A52264 1979 77 the the DT A52264 1979 78 rest rest NN A52264 1979 79 . . . A52264 1980 1 The the DT A52264 1980 2 centers center NNS A52264 1980 3 of of IN A52264 1980 4 these these DT A52264 1980 5 hour hour NN A52264 1980 6 - - HYPH A52264 1980 7 circles circle NNS A52264 1980 8 may may MD A52264 1980 9 be be VB A52264 1980 10 also also RB A52264 1980 11 found find VBN A52264 1980 12 upon upon IN A52264 1980 13 the the DT A52264 1980 14 line line NN A52264 1980 15 8 8 CD A52264 1980 16 L l NN A52264 1980 17 4 4 CD A52264 1980 18 by by IN A52264 1980 19 the the DT A52264 1980 20 naturall naturall NN A52264 1980 21 secants secant NNS A52264 1980 22 of of IN A52264 1980 23 the the DT A52264 1980 24 same same JJ A52264 1980 25 Equinoctiall Equinoctiall NNP A52264 1980 26 arches arch NNS A52264 1980 27 , , , A52264 1980 28 because because IN A52264 1980 29 the the DT A52264 1980 30 hypothenuse hypothenuse NN A52264 1980 31 in in IN A52264 1980 32 a a DT A52264 1980 33 right right NN A52264 1980 34 angled angle VBN A52264 1980 35 plain plain JJ A52264 1980 36 triangle triangle NN A52264 1980 37 is be VBZ A52264 1980 38 alwayes alwayes NNP A52264 1980 39 the the DT A52264 1980 40 secant secant NN A52264 1980 41 of of IN A52264 1980 42 the the DT A52264 1980 43 angle angle NN A52264 1980 44 at at IN A52264 1980 45 the the DT A52264 1980 46 base base NN A52264 1980 47 , , , A52264 1980 48 and and CC A52264 1980 49 the the DT A52264 1980 50 perpendicular perpendicular JJ A52264 1980 51 the the DT A52264 1980 52 tangent tangent NN A52264 1980 53 of of IN A52264 1980 54 the the DT A52264 1980 55 same same JJ A52264 1980 56 angle angle NN A52264 1980 57 : : : A52264 1980 58 if if IN A52264 1980 59 therefore therefore RB A52264 1980 60 the the DT A52264 1980 61 tangent tangent NN A52264 1980 62 set set VBN A52264 1980 63 from from IN A52264 1980 64 L L NNP A52264 1980 65 doth doth NN A52264 1980 66 give give VBP A52264 1980 67 the the DT A52264 1980 68 center center NN A52264 1980 69 , , , A52264 1980 70 the the DT A52264 1980 71 secant secant NN A52264 1980 72 set set VBD A52264 1980 73 from from IN A52264 1980 74 P p NN A52264 1980 75 shall shall MD A52264 1980 76 give give VB A52264 1980 77 that that DT A52264 1980 78 center center NN A52264 1980 79 also also RB A52264 1980 80 . . . A52264 1981 1 The the DT A52264 1981 2 Scheme Scheme NNP A52264 1981 3 with with IN A52264 1981 4 the the DT A52264 1981 5 lines line NNS A52264 1981 6 and and CC A52264 1981 7 circles circle NNS A52264 1981 8 thereof thereof IN A52264 1981 9 being be VBG A52264 1981 10 thus thus RB A52264 1981 11 made make VBN A52264 1981 12 plain plain JJ A52264 1981 13 , , , A52264 1981 14 we -PRON- PRP A52264 1981 15 come come VBP A52264 1981 16 now now RB A52264 1981 17 to to IN A52264 1981 18 the the DT A52264 1981 19 Art art NN A52264 1981 20 of of IN A52264 1981 21 Dialling dial VBG A52264 1981 22 it -PRON- PRP A52264 1981 23 self self NN A52264 1981 24 . . . A52264 1982 1 Probl probl VB A52264 1982 2 . . . A52264 1983 1 3 3 LS A52264 1983 2 . . . A52264 1984 1 Of of IN A52264 1984 2 the the DT A52264 1984 3 severall severall NN A52264 1984 4 plains plain NNS A52264 1984 5 , , , A52264 1984 6 and and CC A52264 1984 7 to to TO A52264 1984 8 finde finde VB A52264 1984 9 their -PRON- PRP$ A52264 1984 10 scituation scituation NN A52264 1984 11 . . . A52264 1985 1 ALL all DT A52264 1985 2 great great JJ A52264 1985 3 Circles circle NNS A52264 1985 4 of of IN A52264 1985 5 the the DT A52264 1985 6 Sphere Sphere NNP A52264 1985 7 , , , A52264 1985 8 projected project VBD A52264 1985 9 upon upon IN A52264 1985 10 any any DT A52264 1985 11 plain plain JJ A52264 1985 12 , , , A52264 1985 13 howsoever howsoever NN A52264 1985 14 situated situate VBN A52264 1985 15 , , , A52264 1985 16 do do VBP A52264 1985 17 become become VB A52264 1985 18 streight streight JJ A52264 1985 19 lines line NNS A52264 1985 20 , , , A52264 1985 21 as as IN A52264 1985 22 any any DT A52264 1985 23 one one CD A52264 1985 24 may may MD A52264 1985 25 experiment experiment VB A52264 1985 26 upon upon IN A52264 1985 27 an an DT A52264 1985 28 ordinary ordinary JJ A52264 1985 29 bowle bowle NN A52264 1985 30 thus thus RB A52264 1985 31 . . . A52264 1986 1 If if IN A52264 1986 2 he -PRON- PRP A52264 1986 3 saw see VBD A52264 1986 4 the the DT A52264 1986 5 Bowle Bowle NNP A52264 1986 6 in in IN A52264 1986 7 the the DT A52264 1986 8 midst midst NN A52264 1986 9 , , , A52264 1986 10 and and CC A52264 1986 11 joyne joyne NNP A52264 1986 12 the the DT A52264 1986 13 two two CD A52264 1986 14 parts part NNS A52264 1986 15 together together RB A52264 1986 16 again again RB A52264 1986 17 , , , A52264 1986 18 there there EX A52264 1986 19 will will MD A52264 1986 20 remain remain VB A52264 1986 21 upon upon IN A52264 1986 22 the the DT A52264 1986 23 circumference circumference NN A52264 1986 24 of of IN A52264 1986 25 the the DT A52264 1986 26 Bowle Bowle NNP A52264 1986 27 , , , A52264 1986 28 some some DT A52264 1986 29 signe signe NN A52264 1986 30 of of IN A52264 1986 31 the the DT A52264 1986 32 former former JJ A52264 1986 33 partition partition NN A52264 1986 34 , , , A52264 1986 35 in in IN A52264 1986 36 form form NN A52264 1986 37 of of IN A52264 1986 38 a a DT A52264 1986 39 great great JJ A52264 1986 40 Circle Circle NNP A52264 1986 41 of of IN A52264 1986 42 the the DT A52264 1986 43 Sphere Sphere NNP A52264 1986 44 : : : A52264 1986 45 now now RB A52264 1986 46 then then RB A52264 1986 47 , , , A52264 1986 48 if if IN A52264 1986 49 in in IN A52264 1986 50 any any DT A52264 1986 51 part part NN A52264 1986 52 of of IN A52264 1986 53 that that DT A52264 1986 54 Circle Circle NNP A52264 1986 55 the the DT A52264 1986 56 roundnesse roundnesse NN A52264 1986 57 of of IN A52264 1986 58 the the DT A52264 1986 59 bowle bowle NN A52264 1986 60 be be VB A52264 1986 61 taken take VBN A52264 1986 62 off off RP A52264 1986 63 with with IN A52264 1986 64 a a DT A52264 1986 65 smoothing smooth VBG A52264 1986 66 plain plain JJ A52264 1986 67 or or CC A52264 1986 68 otherwise otherwise RB A52264 1986 69 , , , A52264 1986 70 as as IN A52264 1986 71 the the DT A52264 1986 72 bowle bowle NN A52264 1986 73 becomes become VBZ A52264 1986 74 flat flat JJ A52264 1986 75 , , , A52264 1986 76 so so RB A52264 1986 77 will will MD A52264 1986 78 the the DT A52264 1986 79 Circle Circle NNP A52264 1986 80 upon upon IN A52264 1986 81 the the DT A52264 1986 82 bowle bowle NN A52264 1986 83 become become VBP A52264 1986 84 a a DT A52264 1986 85 streight streight JJ A52264 1986 86 line line NN A52264 1986 87 ; ; : A52264 1986 88 from from IN A52264 1986 89 whence whence NN A52264 1986 90 it -PRON- PRP A52264 1986 91 follows follow VBZ A52264 1986 92 , , , A52264 1986 93 that that IN A52264 1986 94 the the DT A52264 1986 95 houre houre NN A52264 1986 96 lines line NNS A52264 1986 97 of of IN A52264 1986 98 every every DT A52264 1986 99 Diall Diall NNP A52264 1986 100 ( ( -LRB- A52264 1986 101 being be VBG A52264 1986 102 great great JJ A52264 1986 103 Circles circle NNS A52264 1986 104 of of IN A52264 1986 105 the the DT A52264 1986 106 Sphere Sphere NNP A52264 1986 107 ) ) -RRB- A52264 1986 108 drawn draw VBN A52264 1986 109 upon upon IN A52264 1986 110 any any DT A52264 1986 111 plain plain JJ A52264 1986 112 superficies superficie NNS A52264 1986 113 , , , A52264 1986 114 must must MD A52264 1986 115 also also RB A52264 1986 116 be be VB A52264 1986 117 streight streight JJ A52264 1986 118 lines line NNS A52264 1986 119 . . . A52264 1987 1 Now now RB A52264 1987 2 the the DT A52264 1987 3 art art NN A52264 1987 4 of of IN A52264 1987 5 Dialling Dialling NNP A52264 1987 6 consisteth consisteth NN A52264 1987 7 in in IN A52264 1987 8 the the DT A52264 1987 9 artificiall artificiall NN A52264 1987 10 finding find VBG A52264 1987 11 out out IN A52264 1987 12 of of IN A52264 1987 13 these these DT A52264 1987 14 lines line NNS A52264 1987 15 , , , A52264 1987 16 and and CC A52264 1987 17 their -PRON- PRP$ A52264 1987 18 distances distance NNS A52264 1987 19 each each DT A52264 1987 20 from from IN A52264 1987 21 other other JJ A52264 1987 22 , , , A52264 1987 23 which which WDT A52264 1987 24 do do VBP A52264 1987 25 continually continually RB A52264 1987 26 varie varie VB A52264 1987 27 according accord VBG A52264 1987 28 to to IN A52264 1987 29 the the DT A52264 1987 30 situation situation NN A52264 1987 31 of of IN A52264 1987 32 the the DT A52264 1987 33 plain plain NN A52264 1987 34 on on IN A52264 1987 35 which which WDT A52264 1987 36 they -PRON- PRP A52264 1987 37 are be VBP A52264 1987 38 projected project VBN A52264 1987 39 . . . A52264 1988 1 Of of IN A52264 1988 2 these these DT A52264 1988 3 plains plain NNS A52264 1988 4 there there EX A52264 1988 5 are be VBP A52264 1988 6 but but CC A52264 1988 7 three three CD A52264 1988 8 sorts sort NNS A52264 1988 9 . . . A52264 1989 1 1 1 LS A52264 1989 2 . . . A52264 1990 1 Parallel parallel NN A52264 1990 2 to to IN A52264 1990 3 the the DT A52264 1990 4 Horizon Horizon NNP A52264 1990 5 , , , A52264 1990 6 as as IN A52264 1990 7 is be VBZ A52264 1990 8 the the DT A52264 1990 9 Horizontal Horizontal NNP A52264 1990 10 only only RB A52264 1990 11 . . . A52264 1991 1 2 2 LS A52264 1991 2 . . . A52264 1992 1 Perpendicular perpendicular JJ A52264 1992 2 to to IN A52264 1992 3 the the DT A52264 1992 4 Horizon Horizon NNP A52264 1992 5 , , , A52264 1992 6 as as IN A52264 1992 7 are be VBP A52264 1992 8 all all DT A52264 1992 9 erect erect NN A52264 1992 10 plains plain NNS A52264 1992 11 , , , A52264 1992 12 whether whether IN A52264 1992 13 they -PRON- PRP A52264 1992 14 be be VBP A52264 1992 15 such such JJ A52264 1992 16 as as IN A52264 1992 17 are be VBP A52264 1992 18 direct direct JJ A52264 1992 19 North North NNP A52264 1992 20 , , , A52264 1992 21 South South NNP A52264 1992 22 , , , A52264 1992 23 East East NNP A52264 1992 24 or or CC A52264 1992 25 West West NNP A52264 1992 26 , , , A52264 1992 27 or or CC A52264 1992 28 such such JJ A52264 1992 29 as as IN A52264 1992 30 decline decline NN A52264 1992 31 from from IN A52264 1992 32 these these DT A52264 1992 33 points point NNS A52264 1992 34 of of IN A52264 1992 35 North North NNP A52264 1992 36 , , , A52264 1992 37 South South NNP A52264 1992 38 , , , A52264 1992 39 East East NNP A52264 1992 40 , , , A52264 1992 41 or or CC A52264 1992 42 West West NNP A52264 1992 43 . . . A52264 1993 1 3 3 LS A52264 1993 2 . . . A52264 1994 1 Inclining incline VBG A52264 1994 2 to to IN A52264 1994 3 the the DT A52264 1994 4 Horizon Horizon NNP A52264 1994 5 , , , A52264 1994 6 or or CC A52264 1994 7 rather rather RB A52264 1994 8 Reclining recline VBG A52264 1994 9 from from IN A52264 1994 10 the the DT A52264 1994 11 Zenith Zenith NNP A52264 1994 12 , , , A52264 1994 13 and and CC A52264 1994 14 these these DT A52264 1994 15 are be VBP A52264 1994 16 direct direct JJ A52264 1994 17 plains plain NNS A52264 1994 18 reclining recline VBG A52264 1994 19 and and CC A52264 1994 20 inclining incline VBG A52264 1994 21 North North NNP A52264 1994 22 and and CC A52264 1994 23 South South NNP A52264 1994 24 , , , A52264 1994 25 and and CC A52264 1994 26 reclining recline VBG A52264 1994 27 and and CC A52264 1994 28 inclining incline VBG A52264 1994 29 East East NNP A52264 1994 30 and and CC A52264 1994 31 West West NNP A52264 1994 32 , , , A52264 1994 33 or or CC A52264 1994 34 Declining decline VBG A52264 1994 35 - - HYPH A52264 1994 36 reclining reclining NN A52264 1994 37 and and CC A52264 1994 38 inclining incline VBG A52264 1994 39 plains plain NNS A52264 1994 40 . . . A52264 1995 1 To to TO A52264 1995 2 contrive contrive VB A52264 1995 3 the the DT A52264 1995 4 houre houre NN A52264 1995 5 lines line NNS A52264 1995 6 upon upon IN A52264 1995 7 these these DT A52264 1995 8 severall severall JJ A52264 1995 9 plains plain NNS A52264 1995 10 , , , A52264 1995 11 there there EX A52264 1995 12 are be VBP A52264 1995 13 certain certain JJ A52264 1995 14 Spherical spherical JJ A52264 1995 15 arches arch NNS A52264 1995 16 and and CC A52264 1995 17 angles angle NNS A52264 1995 18 , , , A52264 1995 19 in in IN A52264 1995 20 number number NN A52264 1995 21 six six CD A52264 1995 22 , , , A52264 1995 23 which which WDT A52264 1995 24 must must MD A52264 1995 25 of of IN A52264 1995 26 necessity necessity NN A52264 1995 27 be be VB A52264 1995 28 known know VBN A52264 1995 29 , , , A52264 1995 30 and and CC A52264 1995 31 divers diver NNS A52264 1995 32 of of IN A52264 1995 33 these these DT A52264 1995 34 are be VBP A52264 1995 35 in in IN A52264 1995 36 some some DT A52264 1995 37 Cases case NNS A52264 1995 38 given give VBN A52264 1995 39 , , , A52264 1995 40 in in IN A52264 1995 41 others other NNS A52264 1995 42 they -PRON- PRP A52264 1995 43 are be VBP A52264 1995 44 sought seek VBN A52264 1995 45 . . . A52264 1996 1 1 1 LS A52264 1996 2 . . . A52264 1997 1 The the DT A52264 1997 2 first first JJ A52264 1997 3 is be VBZ A52264 1997 4 an an DT A52264 1997 5 arch arch NN A52264 1997 6 of of IN A52264 1997 7 a a DT A52264 1997 8 great great JJ A52264 1997 9 Circle Circle NNP A52264 1997 10 perpendicular perpendicular JJ A52264 1997 11 to to IN A52264 1997 12 the the DT A52264 1997 13 plain plain NN A52264 1997 14 , , , A52264 1997 15 comprehended comprehend VBD A52264 1997 16 betwixt betwixt VB A52264 1997 17 the the DT A52264 1997 18 Zenith Zenith NNP A52264 1997 19 and and CC A52264 1997 20 the the DT A52264 1997 21 plain plain NN A52264 1997 22 , , , A52264 1997 23 which which WDT A52264 1997 24 is be VBZ A52264 1997 25 the the DT A52264 1997 26 Reclination Reclination NNP A52264 1997 27 , , , A52264 1997 28 as as IN A52264 1997 29 ZT ZT NNP A52264 1997 30 , , , A52264 1997 31 ZK ZK NNP A52264 1997 32 , , , A52264 1997 33 and and CC A52264 1997 34 ZF ZF NNP A52264 1997 35 , , , A52264 1997 36 in in IN A52264 1997 37 the the DT A52264 1997 38 fundamental fundamental JJ A52264 1997 39 Diagram Diagram NNP A52264 1997 40 . . . A52264 1998 1 2 2 LS A52264 1998 2 . . . A52264 1999 1 The the DT A52264 1999 2 second second JJ A52264 1999 3 is be VBZ A52264 1999 4 an an DT A52264 1999 5 arch arch NN A52264 1999 6 of of IN A52264 1999 7 the the DT A52264 1999 8 Horizon Horizon NNP A52264 1999 9 betwixt betwixt VBP A52264 1999 10 the the DT A52264 1999 11 Meridian Meridian NNP A52264 1999 12 and and CC A52264 1999 13 Azimuth Azimuth NNP A52264 1999 14 passing pass VBG A52264 1999 15 by by IN A52264 1999 16 the the DT A52264 1999 17 poles pole NNS A52264 1999 18 of of IN A52264 1999 19 the the DT A52264 1999 20 plain plain JJ A52264 1999 21 , , , A52264 1999 22 as as IN A52264 1999 23 SV SV NNP A52264 1999 24 or or CC A52264 1999 25 NC NC NNP A52264 1999 26 in in IN A52264 1999 27 the the DT A52264 1999 28 Scheme Scheme NNP A52264 1999 29 . . . A52264 2000 1 3 3 LS A52264 2000 2 . . . A52264 2001 1 The the DT A52264 2001 2 third third JJ A52264 2001 3 is be VBZ A52264 2001 4 an an DT A52264 2001 5 arch arch NN A52264 2001 6 of of IN A52264 2001 7 the the DT A52264 2001 8 plain plain JJ A52264 2001 9 betwixt betwixt NN A52264 2001 10 the the DT A52264 2001 11 Meridian Meridian NNP A52264 2001 12 and and CC A52264 2001 13 the the DT A52264 2001 14 Horizon Horizon NNP A52264 2001 15 , , , A52264 2001 16 prescribing prescribe VBG A52264 2001 17 the the DT A52264 2001 18 distance distance NN A52264 2001 19 of of IN A52264 2001 20 the the DT A52264 2001 21 12 12 CD A52264 2001 22 a a DT A52264 2001 23 clock clock NN A52264 2001 24 houre houre NN A52264 2001 25 from from IN A52264 2001 26 the the DT A52264 2001 27 horizontal horizontal JJ A52264 2001 28 line line NN A52264 2001 29 , , , A52264 2001 30 as as IN A52264 2001 31 PB PB NNP A52264 2001 32 in in IN A52264 2001 33 the the DT A52264 2001 34 Scheme Scheme NNP A52264 2001 35 of of IN A52264 2001 36 the the DT A52264 2001 37 11th 11th NN A52264 2001 38 . . . A52264 2002 1 Probl probl VB A52264 2002 2 . . . A52264 2003 1 4 4 LS A52264 2003 2 . . . A52264 2004 1 The the DT A52264 2004 2 fourth fourth JJ A52264 2004 3 is be VBZ A52264 2004 4 an an DT A52264 2004 5 arch arch NN A52264 2004 6 of of IN A52264 2004 7 the the DT A52264 2004 8 plain plain JJ A52264 2004 9 betwixt betwixt NN A52264 2004 10 the the DT A52264 2004 11 Meridian Meridian NNP A52264 2004 12 and and CC A52264 2004 13 the the DT A52264 2004 14 substile substile NN A52264 2004 15 , , , A52264 2004 16 which which WDT A52264 2004 17 limits limit VBZ A52264 2004 18 the the DT A52264 2004 19 distance distance NN A52264 2004 20 thereof thereof RB A52264 2004 21 from from IN A52264 2004 22 the the DT A52264 2004 23 12 12 CD A52264 2004 24 a a DT A52264 2004 25 clock clock NN A52264 2004 26 houre houre NN A52264 2004 27 line line NN A52264 2004 28 , , , A52264 2004 29 as as IN A52264 2004 30 ZR ZR NNP A52264 2004 31 in in IN A52264 2004 32 the the DT A52264 2004 33 Scheme Scheme NNP A52264 2004 34 . . . A52264 2005 1 5 5 CD A52264 2005 2 . . . A52264 2006 1 The the DT A52264 2006 2 fifth fifth JJ A52264 2006 3 is be VBZ A52264 2006 4 an an DT A52264 2006 5 arch arch NN A52264 2006 6 of of IN A52264 2006 7 a a DT A52264 2006 8 great great JJ A52264 2006 9 Circle Circle NNP A52264 2006 10 perpendicular perpendicular JJ A52264 2006 11 to to IN A52264 2006 12 the the DT A52264 2006 13 plain plain NN A52264 2006 14 , , , A52264 2006 15 comprehended comprehend VBD A52264 2006 16 betwixt betwixt VB A52264 2006 17 the the DT A52264 2006 18 Pole Pole NNP A52264 2006 19 of of IN A52264 2006 20 the the DT A52264 2006 21 World World NNP A52264 2006 22 ; ; : A52264 2006 23 and and CC A52264 2006 24 the the DT A52264 2006 25 plain plain JJ A52264 2006 26 , , , A52264 2006 27 commonly commonly RB A52264 2006 28 called call VBN A52264 2006 29 the the DT A52264 2006 30 height height NN A52264 2006 31 of of IN A52264 2006 32 the the DT A52264 2006 33 stile stile NN A52264 2006 34 , , , A52264 2006 35 as as IN A52264 2006 36 PR pr NN A52264 2006 37 in in IN A52264 2006 38 the the DT A52264 2006 39 Scheme Scheme NNP A52264 2006 40 . . . A52264 2007 1 6 6 CD A52264 2007 2 . . . A52264 2008 1 The the DT A52264 2008 2 last last JJ A52264 2008 3 is be VBZ A52264 2008 4 an an DT A52264 2008 5 angle angle NN A52264 2008 6 at at IN A52264 2008 7 the the DT A52264 2008 8 Pole Pole NNP A52264 2008 9 betwixt betwixt VBP A52264 2008 10 the the DT A52264 2008 11 two two CD A52264 2008 12 Meridians Meridians NNPS A52264 2008 13 , , , A52264 2008 14 the the DT A52264 2008 15 one one CD A52264 2008 16 of of IN A52264 2008 17 the the DT A52264 2008 18 place place NN A52264 2008 19 , , , A52264 2008 20 the the DT A52264 2008 21 other other JJ A52264 2008 22 of of IN A52264 2008 23 the the DT A52264 2008 24 plain plain NN A52264 2008 25 ( ( -LRB- A52264 2008 26 taking take VBG A52264 2008 27 the the DT A52264 2008 28 substile substile NN A52264 2008 29 in in IN A52264 2008 30 the the DT A52264 2008 31 common common JJ A52264 2008 32 sense sense NN A52264 2008 33 for for IN A52264 2008 34 the the DT A52264 2008 35 Meridian Meridian NNP A52264 2008 36 of of IN A52264 2008 37 the the DT A52264 2008 38 plain plain NN A52264 2008 39 ) ) -RRB- A52264 2008 40 as as IN A52264 2008 41 the the DT A52264 2008 42 angle angle NN A52264 2008 43 ZPR ZPR NNP A52264 2008 44 in in IN A52264 2008 45 the the DT A52264 2008 46 fundamental fundamental JJ A52264 2008 47 Scheme Scheme NNP A52264 2008 48 . . . A52264 2009 1 The the DT A52264 2009 2 two two CD A52264 2009 3 first first JJ A52264 2009 4 of of IN A52264 2009 5 these these DT A52264 2009 6 arches arch NNS A52264 2009 7 are be VBP A52264 2009 8 alwayes alwayes NNP A52264 2009 9 given give VBN A52264 2009 10 , , , A52264 2009 11 or or CC A52264 2009 12 may may MD A52264 2009 13 be be VB A52264 2009 14 found find VBN A52264 2009 15 by by IN A52264 2009 16 the the DT A52264 2009 17 rules rule NNS A52264 2009 18 following follow VBG A52264 2009 19 . . . A52264 2010 1 To to TO A52264 2010 2 finde finde VB A52264 2010 3 the the DT A52264 2010 4 Inclination Inclination NNP A52264 2010 5 or or CC A52264 2010 6 Reclination Reclination NNP A52264 2010 7 of of IN A52264 2010 8 any any DT A52264 2010 9 plain plain NN A52264 2010 10 . . . A52264 2011 1 If if IN A52264 2011 2 the the DT A52264 2011 3 plain plain JJ A52264 2011 4 seem seem VBP A52264 2011 5 to to TO A52264 2011 6 be be VB A52264 2011 7 level level NN A52264 2011 8 with with IN A52264 2011 9 the the DT A52264 2011 10 Horizon Horizon NNP A52264 2011 11 , , , A52264 2011 12 you -PRON- PRP A52264 2011 13 may may MD A52264 2011 14 try try VB A52264 2011 15 it -PRON- PRP A52264 2011 16 by by IN A52264 2011 17 laying lay VBG A52264 2011 18 a a DT A52264 2011 19 ruler ruler NN A52264 2011 20 thereupon thereupon RB A52264 2011 21 , , , A52264 2011 22 and and CC A52264 2011 23 applying apply VBG A52264 2011 24 the the DT A52264 2011 25 side side NN A52264 2011 26 of of IN A52264 2011 27 your -PRON- PRP$ A52264 2011 28 Quadrant quadrant JJ A52264 2011 29 AB ab NN A52264 2011 30 to to IN A52264 2011 31 the the DT A52264 2011 32 upper upper JJ A52264 2011 33 side side NN A52264 2011 34 of of IN A52264 2011 35 the the DT A52264 2011 36 ruler ruler NN A52264 2011 37 , , , A52264 2011 38 so so IN A52264 2011 39 that that IN A52264 2011 40 the the DT A52264 2011 41 center center NN A52264 2011 42 may may MD A52264 2011 43 hang hang VB A52264 2011 44 a a DT A52264 2011 45 little little JJ A52264 2011 46 over over IN A52264 2011 47 the the DT A52264 2011 48 end end NN A52264 2011 49 of of IN A52264 2011 50 the the DT A52264 2011 51 ruler ruler NN A52264 2011 52 , , , A52264 2011 53 and and CC A52264 2011 54 holding hold VBG A52264 2011 55 up up RP A52264 2011 56 a a DT A52264 2011 57 threed threed NN A52264 2011 58 and and CC A52264 2011 59 plummet plummet NN A52264 2011 60 , , , A52264 2011 61 so so IN A52264 2011 62 that that IN A52264 2011 63 it -PRON- PRP A52264 2011 64 may may MD A52264 2011 65 play play VB A52264 2011 66 upon upon IN A52264 2011 67 the the DT A52264 2011 68 center center NN A52264 2011 69 , , , A52264 2011 70 if if IN A52264 2011 71 it -PRON- PRP A52264 2011 72 shall shall MD A52264 2011 73 fall fall VB A52264 2011 74 directly directly RB A52264 2011 75 upon upon IN A52264 2011 76 his -PRON- PRP$ A52264 2011 77 level level NN A52264 2011 78 line line NN A52264 2011 79 AC AC NNP A52264 2011 80 , , , A52264 2011 81 making make VBG A52264 2011 82 no no DT A52264 2011 83 angle angle NN A52264 2011 84 therewith therewith NNP A52264 2011 85 , , , A52264 2011 86 it -PRON- PRP A52264 2011 87 is be VBZ A52264 2011 88 an an DT A52264 2011 89 horizontal horizontal JJ A52264 2011 90 plain plain NN A52264 2011 91 . . . A52264 2012 1 If if IN A52264 2012 2 the the DT A52264 2012 3 plain plain JJ A52264 2012 4 seeme seeme NN A52264 2012 5 to to TO A52264 2012 6 be be VB A52264 2012 7 verticall verticall JJ A52264 2012 8 , , , A52264 2012 9 like like IN A52264 2012 10 the the DT A52264 2012 11 wall wall NN A52264 2012 12 of of IN A52264 2012 13 an an DT A52264 2012 14 upright upright JJ A52264 2012 15 building building NN A52264 2012 16 , , , A52264 2012 17 you -PRON- PRP A52264 2012 18 may may MD A52264 2012 19 try try VB A52264 2012 20 it -PRON- PRP A52264 2012 21 by by IN A52264 2012 22 holding hold VBG A52264 2012 23 the the DT A52264 2012 24 Quadrant Quadrant NNP A52264 2012 25 so so IN A52264 2012 26 that that IN A52264 2012 27 the the DT A52264 2012 28 threed threed NN A52264 2012 29 may may MD A52264 2012 30 fall fall VB A52264 2012 31 on on IN A52264 2012 32 the the DT A52264 2012 33 plumb plumb JJ A52264 2012 34 line line NN A52264 2012 35 AC AC NNP A52264 2012 36 , , , A52264 2012 37 for for IN A52264 2012 38 then then RB A52264 2012 39 if if IN A52264 2012 40 the the DT A52264 2012 41 side side NN A52264 2012 42 of of IN A52264 2012 43 the the DT A52264 2012 44 Quadrant Quadrant NNP A52264 2012 45 shall shall MD A52264 2012 46 lie lie VB A52264 2012 47 close close RB A52264 2012 48 to to IN A52264 2012 49 the the DT A52264 2012 50 plain plain NN A52264 2012 51 , , , A52264 2012 52 it -PRON- PRP A52264 2012 53 is be VBZ A52264 2012 54 erect erect NN A52264 2012 55 , , , A52264 2012 56 and and CC A52264 2012 57 a a DT A52264 2012 58 line line NN A52264 2012 59 drawn draw VBN A52264 2012 60 by by IN A52264 2012 61 that that DT A52264 2012 62 side side NN A52264 2012 63 of of IN A52264 2012 64 the the DT A52264 2012 65 Quadrant Quadrant NNP A52264 2012 66 shall shall MD A52264 2012 67 be be VB A52264 2012 68 a a DT A52264 2012 69 Verticall Verticall NNP A52264 2012 70 line line NN A52264 2012 71 , , , A52264 2012 72 as as IN A52264 2012 73 the the DT A52264 2012 74 line line NN A52264 2012 75 DE DE NNP A52264 2012 76 in in IN A52264 2012 77 the the DT A52264 2012 78 figure figure NN A52264 2012 79 . . . A52264 2013 1 If if IN A52264 2013 2 the the DT A52264 2013 3 plain plain NN A52264 2013 4 shall shall MD A52264 2013 5 be be VB A52264 2013 6 found find VBN A52264 2013 7 to to TO A52264 2013 8 incline incline VB A52264 2013 9 to to IN A52264 2013 10 the the DT A52264 2013 11 Horizon Horizon NNP A52264 2013 12 , , , A52264 2013 13 you -PRON- PRP A52264 2013 14 may may MD A52264 2013 15 finde finde VB A52264 2013 16 out out RP A52264 2013 17 the the DT A52264 2013 18 quantity quantity NN A52264 2013 19 of of IN A52264 2013 20 the the DT A52264 2013 21 inclination inclination NN A52264 2013 22 after after IN A52264 2013 23 this this DT A52264 2013 24 manner manner NN A52264 2013 25 . . . A52264 2014 1 Apply apply VB A52264 2014 2 the the DT A52264 2014 3 side side NN A52264 2014 4 of of IN A52264 2014 5 your -PRON- PRP$ A52264 2014 6 Quadrant Quadrant NNP A52264 2014 7 AC AC NNP A52264 2014 8 to to IN A52264 2014 9 the the DT A52264 2014 10 plain plain NN A52264 2014 11 , , , A52264 2014 12 so so RB A52264 2014 13 shall shall MD A52264 2014 14 the the DT A52264 2014 15 threed threed NN A52264 2014 16 upon upon IN A52264 2014 17 the the DT A52264 2014 18 limbe limbe NN A52264 2014 19 give give VB A52264 2014 20 you -PRON- PRP A52264 2014 21 the the DT A52264 2014 22 inclination inclination NN A52264 2014 23 required require VBN A52264 2014 24 . . . A52264 2015 1 Suppose suppose VB A52264 2015 2 the the DT A52264 2015 3 plain plain NN A52264 2015 4 to to TO A52264 2015 5 be be VB A52264 2015 6 BGED bge VBN A52264 2015 7 , , , A52264 2015 8 and and CC A52264 2015 9 the the DT A52264 2015 10 line line NN A52264 2015 11 FZ FZ NNP A52264 2015 12 to to TO A52264 2015 13 be be VB A52264 2015 14 verticall verticall JJ A52264 2015 15 , , , A52264 2015 16 to to TO A52264 2015 17 which which WDT A52264 2015 18 applying apply VBG A52264 2015 19 the the DT A52264 2015 20 side side NN A52264 2015 21 of of IN A52264 2015 22 your -PRON- PRP$ A52264 2015 23 Quadrant Quadrant NNP A52264 2015 24 AC AC NNP A52264 2015 25 , , , A52264 2015 26 the the DT A52264 2015 27 threed threed NN A52264 2015 28 upon upon IN A52264 2015 29 the the DT A52264 2015 30 limbe limbe NN A52264 2015 31 shall shall MD A52264 2015 32 make make VB A52264 2015 33 the the DT A52264 2015 34 angle angle NN A52264 2015 35 CAH CAH NNP A52264 2015 36 the the DT A52264 2015 37 inclination inclination NN A52264 2015 38 required require VBN A52264 2015 39 , , , A52264 2015 40 whose whose WP$ A52264 2015 41 complement complement NN A52264 2015 42 is be VBZ A52264 2015 43 the the DT A52264 2015 44 reclination reclination NN A52264 2015 45 . . . A52264 2016 1 To to TO A52264 2016 2 finde finde VB A52264 2016 3 the the DT A52264 2016 4 declination declination NN A52264 2016 5 of of IN A52264 2016 6 a a DT A52264 2016 7 plain plain NN A52264 2016 8 . . . A52264 2017 1 To to TO A52264 2017 2 effect effect VB A52264 2017 3 this this DT A52264 2017 4 , , , A52264 2017 5 there there EX A52264 2017 6 are be VBP A52264 2017 7 required require VBN A52264 2017 8 two two CD A52264 2017 9 observations observation NNS A52264 2017 10 , , , A52264 2017 11 the the DT A52264 2017 12 first first JJ A52264 2017 13 is be VBZ A52264 2017 14 of of IN A52264 2017 15 the the DT A52264 2017 16 horizontal horizontal JJ A52264 2017 17 distance distance NN A52264 2017 18 of of IN A52264 2017 19 the the DT A52264 2017 20 Sun Sun NNP A52264 2017 21 from from IN A52264 2017 22 the the DT A52264 2017 23 pole pole NN A52264 2017 24 of of IN A52264 2017 25 the the DT A52264 2017 26 plain plain NN A52264 2017 27 , , , A52264 2017 28 the the DT A52264 2017 29 second second JJ A52264 2017 30 is be VBZ A52264 2017 31 of of IN A52264 2017 32 the the DT A52264 2017 33 Suns Suns NNPS A52264 2017 34 altitude altitude NN A52264 2017 35 , , , A52264 2017 36 thereby thereby RB A52264 2017 37 to to TO A52264 2017 38 get get VB A52264 2017 39 the the DT A52264 2017 40 Azimuth azimuth NN A52264 2017 41 : : : A52264 2017 42 and and CC A52264 2017 43 these these DT A52264 2017 44 two two CD A52264 2017 45 observations observation NNS A52264 2017 46 must must MD A52264 2017 47 be be VB A52264 2017 48 made make VBN A52264 2017 49 at at IN A52264 2017 50 one one CD A52264 2017 51 instant instant NN A52264 2017 52 of of IN A52264 2017 53 time time NN A52264 2017 54 as as IN A52264 2017 55 neer neer NN A52264 2017 56 as as IN A52264 2017 57 may may MD A52264 2017 58 be be VB A52264 2017 59 , , , A52264 2017 60 that that IN A52264 2017 61 the the DT A52264 2017 62 parts part NNS A52264 2017 63 of of IN A52264 2017 64 the the DT A52264 2017 65 work work NN A52264 2017 66 may may MD A52264 2017 67 the the DT A52264 2017 68 better well RBR A52264 2017 69 agree agree VB A52264 2017 70 together together RB A52264 2017 71 . . . A52264 2018 1 1 1 LS A52264 2018 2 . . . A52264 2019 1 For for IN A52264 2019 2 the the DT A52264 2019 3 horizontal horizontal JJ A52264 2019 4 distance distance NN A52264 2019 5 of of IN A52264 2019 6 the the DT A52264 2019 7 Sun Sun NNP A52264 2019 8 from from IN A52264 2019 9 the the DT A52264 2019 10 pole pole NN A52264 2019 11 of of IN A52264 2019 12 the the DT A52264 2019 13 plain plain JJ A52264 2019 14 , , , A52264 2019 15 apply apply VB A52264 2019 16 one one CD A52264 2019 17 edge edge NN A52264 2019 18 of of IN A52264 2019 19 the the DT A52264 2019 20 Quadrant Quadrant NNP A52264 2019 21 to to IN A52264 2019 22 the the DT A52264 2019 23 plain plain NN A52264 2019 24 , , , A52264 2019 25 so so IN A52264 2019 26 that that IN A52264 2019 27 the the DT A52264 2019 28 other other JJ A52264 2019 29 may may MD A52264 2019 30 be be VB A52264 2019 31 perpendicular perpendicular JJ A52264 2019 32 to to IN A52264 2019 33 it -PRON- PRP A52264 2019 34 , , , A52264 2019 35 and and CC A52264 2019 36 the the DT A52264 2019 37 limbe limbe NN A52264 2019 38 may may MD A52264 2019 39 be be VB A52264 2019 40 towards towards IN A52264 2019 41 the the DT A52264 2019 42 Sun Sun NNP A52264 2019 43 , , , A52264 2019 44 and and CC A52264 2019 45 hold hold VB A52264 2019 46 the the DT A52264 2019 47 whole whole JJ A52264 2019 48 Quadrant Quadrant NNP A52264 2019 49 horizontal horizontal NN A52264 2019 50 as as IN A52264 2019 51 neer neer NN A52264 2019 52 as as IN A52264 2019 53 you -PRON- PRP A52264 2019 54 can can MD A52264 2019 55 conjecture conjecture VB A52264 2019 56 , , , A52264 2019 57 then then RB A52264 2019 58 holding hold VBG A52264 2019 59 a a DT A52264 2019 60 threed threed NN A52264 2019 61 and and CC A52264 2019 62 plummet plummet VBP A52264 2019 63 at at IN A52264 2019 64 full full JJ A52264 2019 65 liberty liberty NN A52264 2019 66 , , , A52264 2019 67 so so IN A52264 2019 68 that that IN A52264 2019 69 the the DT A52264 2019 70 shadow shadow NN A52264 2019 71 of of IN A52264 2019 72 the the DT A52264 2019 73 threed threed NN A52264 2019 74 may may MD A52264 2019 75 passe passe VB A52264 2019 76 through through IN A52264 2019 77 the the DT A52264 2019 78 center center NN A52264 2019 79 and and CC A52264 2019 80 limb limb NN A52264 2019 81 of of IN A52264 2019 82 the the DT A52264 2019 83 Quadrant Quadrant NNP A52264 2019 84 , , , A52264 2019 85 observe observe VBP A52264 2019 86 then then RB A52264 2019 87 what what WP A52264 2019 88 degrees degree NNS A52264 2019 89 of of IN A52264 2019 90 the the DT A52264 2019 91 limb limb NN A52264 2019 92 the the DT A52264 2019 93 shadow shadow NN A52264 2019 94 cuts cut NNS A52264 2019 95 , , , A52264 2019 96 counting count VBG A52264 2019 97 them -PRON- PRP A52264 2019 98 from from IN A52264 2019 99 that that DT A52264 2019 100 side side NN A52264 2019 101 of of IN A52264 2019 102 the the DT A52264 2019 103 Quadrant Quadrant NNP A52264 2019 104 which which WDT A52264 2019 105 is be VBZ A52264 2019 106 perpendicular perpendicular JJ A52264 2019 107 to to IN A52264 2019 108 the the DT A52264 2019 109 horizontal horizontal JJ A52264 2019 110 line line NN A52264 2019 111 , , , A52264 2019 112 those those DT A52264 2019 113 degrees degree NNS A52264 2019 114 are be VBP A52264 2019 115 called call VBN A52264 2019 116 the the DT A52264 2019 117 Horizontal horizontal JJ A52264 2019 118 distance distance NN A52264 2019 119 . . . A52264 2020 1 2 2 LS A52264 2020 2 . . . A52264 2021 1 At at IN A52264 2021 2 the the DT A52264 2021 3 same same JJ A52264 2021 4 instant instant NN A52264 2021 5 observe observe VBP A52264 2021 6 the the DT A52264 2021 7 Suns Suns NNPS A52264 2021 8 altitude altitude NN A52264 2021 9 , , , A52264 2021 10 by by IN A52264 2021 11 this this DT A52264 2021 12 altitude altitude NN A52264 2021 13 you -PRON- PRP A52264 2021 14 may may MD A52264 2021 15 get get VB A52264 2021 16 the the DT A52264 2021 17 Suns Suns NNPS A52264 2021 18 Azimuth Azimuth NNP A52264 2021 19 from from IN A52264 2021 20 the the DT A52264 2021 21 South South NNP A52264 2021 22 , , , A52264 2021 23 by by IN A52264 2021 24 the the DT A52264 2021 25 10th 10th NN A52264 2021 26 . . . A52264 2022 1 Probleme Probleme NNP A52264 2022 2 of of IN A52264 2022 3 the the DT A52264 2022 4 first first JJ A52264 2022 5 Chapter Chapter NNP A52264 2022 6 hereof hereof NNP A52264 2022 7 . . . A52264 2023 1 When when WRB A52264 2023 2 you -PRON- PRP A52264 2023 3 make make VBP A52264 2023 4 your -PRON- PRP$ A52264 2023 5 observation observation NN A52264 2023 6 of of IN A52264 2023 7 the the DT A52264 2023 8 Suns Suns NNPS A52264 2023 9 horizontal horizontal JJ A52264 2023 10 distance distance NN A52264 2023 11 , , , A52264 2023 12 marke marke JJ A52264 2023 13 whether whether IN A52264 2023 14 the the DT A52264 2023 15 shadow shadow NN A52264 2023 16 of of IN A52264 2023 17 the the DT A52264 2023 18 threed threed NN A52264 2023 19 fall fall NN A52264 2023 20 between between IN A52264 2023 21 the the DT A52264 2023 22 South South NNP A52264 2023 23 , , , A52264 2023 24 and and CC A52264 2023 25 the the DT A52264 2023 26 perpendicular perpendicular JJ A52264 2023 27 side side NN A52264 2023 28 of of IN A52264 2023 29 the the DT A52264 2023 30 Quadrant Quadrant NNP A52264 2023 31 , , , A52264 2023 32 or or CC A52264 2023 33 not not RB A52264 2023 34 , , , A52264 2023 35 for for IN A52264 2023 36 , , , A52264 2023 37 1 1 CD A52264 2023 38 . . . A52264 2024 1 If if IN A52264 2024 2 the the DT A52264 2024 3 shadow shadow NN A52264 2024 4 fall fall NN A52264 2024 5 between between IN A52264 2024 6 them -PRON- PRP A52264 2024 7 , , , A52264 2024 8 then then RB A52264 2024 9 the the DT A52264 2024 10 distance distance NN A52264 2024 11 and and CC A52264 2024 12 Azimuth Azimuth NNP A52264 2024 13 added add VBD A52264 2024 14 together together RB A52264 2024 15 do do VBP A52264 2024 16 make make VB A52264 2024 17 the the DT A52264 2024 18 declination declination NN A52264 2024 19 of of IN A52264 2024 20 the the DT A52264 2024 21 plain plain JJ A52264 2024 22 , , , A52264 2024 23 and and CC A52264 2024 24 in in IN A52264 2024 25 this this DT A52264 2024 26 case case NN A52264 2024 27 the the DT A52264 2024 28 declination declination NN A52264 2024 29 is be VBZ A52264 2024 30 upon upon IN A52264 2024 31 the the DT A52264 2024 32 same same JJ A52264 2024 33 coast coast NN A52264 2024 34 whereon whereon NN A52264 2024 35 the the DT A52264 2024 36 Suns Suns NNPS A52264 2024 37 Azimuth Azimuth NNP A52264 2024 38 is be VBZ A52264 2024 39 . . . A52264 2025 1 2 2 LS A52264 2025 2 . . . A52264 2026 1 If if IN A52264 2026 2 the the DT A52264 2026 3 shadow shadow NN A52264 2026 4 fall fall VBP A52264 2026 5 not not RB A52264 2026 6 between between IN A52264 2026 7 them -PRON- PRP A52264 2026 8 , , , A52264 2026 9 then then RB A52264 2026 10 the the DT A52264 2026 11 difference difference NN A52264 2026 12 of of IN A52264 2026 13 the the DT A52264 2026 14 distance distance NN A52264 2026 15 and and CC A52264 2026 16 Azimuth Azimuth NNP A52264 2026 17 is be VBZ A52264 2026 18 the the DT A52264 2026 19 declination declination NN A52264 2026 20 of of IN A52264 2026 21 the the DT A52264 2026 22 plain plain JJ A52264 2026 23 , , , A52264 2026 24 and and CC A52264 2026 25 if if IN A52264 2026 26 the the DT A52264 2026 27 Azimuth Azimuth NNP A52264 2026 28 be be VB A52264 2026 29 the the DT A52264 2026 30 greater great JJR A52264 2026 31 of of IN A52264 2026 32 the the DT A52264 2026 33 two two CD A52264 2026 34 , , , A52264 2026 35 then then RB A52264 2026 36 the the DT A52264 2026 37 plain plain JJ A52264 2026 38 declineth declineth NN A52264 2026 39 to to IN A52264 2026 40 the the DT A52264 2026 41 same same JJ A52264 2026 42 coast coast NN A52264 2026 43 whereon whereon NN A52264 2026 44 the the DT A52264 2026 45 Azimuth Azimuth NNP A52264 2026 46 is be VBZ A52264 2026 47 , , , A52264 2026 48 but but CC A52264 2026 49 if if IN A52264 2026 50 the the DT A52264 2026 51 distance distance NN A52264 2026 52 be be VB A52264 2026 53 the the DT A52264 2026 54 greater great JJR A52264 2026 55 , , , A52264 2026 56 then then RB A52264 2026 57 the the DT A52264 2026 58 plain plain JJ A52264 2026 59 declneth declneth JJ A52264 2026 60 to to IN A52264 2026 61 the the DT A52264 2026 62 contrary contrary JJ A52264 2026 63 coast coast NN A52264 2026 64 to to IN A52264 2026 65 that that DT A52264 2026 66 whereon whereon NN A52264 2026 67 the the DT A52264 2026 68 Suns Suns NNPS A52264 2026 69 Azimuth Azimuth NNP A52264 2026 70 is be VBZ A52264 2026 71 . . . A52264 2027 1 Note note VB A52264 2027 2 here here RB A52264 2027 3 further far RBR A52264 2027 4 , , , A52264 2027 5 that that IN A52264 2027 6 the the DT A52264 2027 7 declination declination NN A52264 2027 8 so so RB A52264 2027 9 found find VBN A52264 2027 10 , , , A52264 2027 11 is be VBZ A52264 2027 12 alwayes alwayes NNP A52264 2027 13 accounted account VBN A52264 2027 14 from from IN A52264 2027 15 the the DT A52264 2027 16 South South NNP A52264 2027 17 , , , A52264 2027 18 and and CC A52264 2027 19 that that IN A52264 2027 20 all all DT A52264 2027 21 declinations declination NNS A52264 2027 22 are be VBP A52264 2027 23 numbered number VBN A52264 2027 24 from from IN A52264 2027 25 North North NNP A52264 2027 26 or or CC A52264 2027 27 South South NNP A52264 2027 28 , , , A52264 2027 29 towards towards IN A52264 2027 30 East East NNP A52264 2027 31 or or CC A52264 2027 32 West West NNP A52264 2027 33 , , , A52264 2027 34 and and CC A52264 2027 35 must must MD A52264 2027 36 not not RB A52264 2027 37 exceed exceed VB A52264 2027 38 90 90 CD A52264 2027 39 deg deg NN A52264 2027 40 . . . A52264 2028 1 1 1 LS A52264 2028 2 . . . A52264 2029 1 If if IN A52264 2029 2 therefore therefore RB A52264 2029 3 the the DT A52264 2029 4 number number NN A52264 2029 5 of of IN A52264 2029 6 declination declination NN A52264 2029 7 exceed exceed VB A52264 2029 8 90 90 CD A52264 2029 9 , , , A52264 2029 10 you -PRON- PRP A52264 2029 11 must must MD A52264 2029 12 take take VB A52264 2029 13 its -PRON- PRP$ A52264 2029 14 complement complement NN A52264 2029 15 to to IN A52264 2029 16 180 180 CD A52264 2029 17 , , , A52264 2029 18 and and CC A52264 2029 19 the the DT A52264 2029 20 same same JJ A52264 2029 21 shall shall MD A52264 2029 22 be be VB A52264 2029 23 the the DT A52264 2029 24 plains plain NNS A52264 2029 25 declination declination NN A52264 2029 26 from from IN A52264 2029 27 the the DT A52264 2029 28 North North NNP A52264 2029 29 . . . A52264 2030 1 2 2 LS A52264 2030 2 . . . A52264 2031 1 If if IN A52264 2031 2 the the DT A52264 2031 3 declination declination NN A52264 2031 4 found find VBD A52264 2031 5 exceed exceed VBP A52264 2031 6 180 180 CD A52264 2031 7 deg deg NN A52264 2031 8 . . . A52264 2032 1 then then RB A52264 2032 2 the the DT A52264 2032 3 excesse excesse NN A52264 2032 4 above above IN A52264 2032 5 180 180 CD A52264 2032 6 , , , A52264 2032 7 gives give VBZ A52264 2032 8 the the DT A52264 2032 9 plains plain NNS A52264 2032 10 declination declination NN A52264 2032 11 from from IN A52264 2032 12 the the DT A52264 2032 13 North North NNP A52264 2032 14 , , , A52264 2032 15 towards towards IN A52264 2032 16 that that DT A52264 2032 17 Coast Coast NNP A52264 2032 18 which which WDT A52264 2032 19 is be VBZ A52264 2032 20 contrary contrary JJ A52264 2032 21 to to IN A52264 2032 22 the the DT A52264 2032 23 Coast Coast NNP A52264 2032 24 whereon whereon NN A52264 2032 25 the the DT A52264 2032 26 Sun Sun NNP A52264 2032 27 is be VBZ A52264 2032 28 . . . A52264 2033 1 By by IN A52264 2033 2 this this DT A52264 2033 3 accounting accounting NN A52264 2033 4 from from IN A52264 2033 5 North North NNP A52264 2033 6 & & CC A52264 2033 7 South South NNP A52264 2033 8 , , , A52264 2033 9 you -PRON- PRP A52264 2033 10 may may MD A52264 2033 11 alwayes alwayes NNP A52264 2033 12 make make VB A52264 2033 13 your -PRON- PRP$ A52264 2033 14 plains plain NNS A52264 2033 15 declination declination NN A52264 2033 16 not not RB A52264 2033 17 to to TO A52264 2033 18 exceed exceed VB A52264 2033 19 a a DT A52264 2033 20 Quadrant Quadrant NNP A52264 2033 21 or or CC A52264 2033 22 90 90 CD A52264 2033 23 de de NN A52264 2033 24 . . . A52264 2034 1 And and CC A52264 2034 2 as as IN A52264 2034 3 when when WRB A52264 2034 4 it -PRON- PRP A52264 2034 5 declines decline VBZ A52264 2034 6 nothing nothing NN A52264 2034 7 , , , A52264 2034 8 it -PRON- PRP A52264 2034 9 is be VBZ A52264 2034 10 a a DT A52264 2034 11 full full JJ A52264 2034 12 South South NNP A52264 2034 13 or or CC A52264 2034 14 North North NNP A52264 2034 15 plain plain JJ A52264 2034 16 , , , A52264 2034 17 so so CC A52264 2034 18 if if IN A52264 2034 19 it -PRON- PRP A52264 2034 20 decline decline VBP A52264 2034 21 just just RB A52264 2034 22 90 90 CD A52264 2034 23 , , , A52264 2034 24 it -PRON- PRP A52264 2034 25 is be VBZ A52264 2034 26 then then RB A52264 2034 27 a a DT A52264 2034 28 full full JJ A52264 2034 29 East East NNP A52264 2034 30 or or CC A52264 2034 31 West West NNP A52264 2034 32 plain plain JJ A52264 2034 33 . . . A52264 2035 1 These these DT A52264 2035 2 precepts precept NNS A52264 2035 3 are be VBP A52264 2035 4 sufficient sufficient JJ A52264 2035 5 to to TO A52264 2035 6 finde finde VB A52264 2035 7 the the DT A52264 2035 8 declination declination NN A52264 2035 9 of of IN A52264 2035 10 any any DT A52264 2035 11 plain plain JJ A52264 2035 12 howsoever howsoever NN A52264 2035 13 situated situate VBN A52264 2035 14 , , , A52264 2035 15 but but CC A52264 2035 16 that that IN A52264 2035 17 there there EX A52264 2035 18 may may MD A52264 2035 19 be be VB A52264 2035 20 no no DT A52264 2035 21 mistake mistake NN A52264 2035 22 , , , A52264 2035 23 we -PRON- PRP A52264 2035 24 will will MD A52264 2035 25 adde adde VB A52264 2035 26 an an DT A52264 2035 27 Example example NN A52264 2035 28 . . . A52264 2036 1 1 1 CD A52264 2036 2 Example example NN A52264 2036 3 . . . A52264 2037 1 Now now RB A52264 2037 2 because because IN A52264 2037 3 the the DT A52264 2037 4 line line NN A52264 2037 5 of of IN A52264 2037 6 shadow shadow NN A52264 2037 7 AG AG NNP A52264 2037 8 , , , A52264 2037 9 falleth falleth JJ A52264 2037 10 between between IN A52264 2037 11 P p NN A52264 2037 12 the the DT A52264 2037 13 pole pole NN A52264 2037 14 of of IN A52264 2037 15 the the DT A52264 2037 16 plains plains NNPS A52264 2037 17 horizontal horizontal JJ A52264 2037 18 line line NN A52264 2037 19 , , , A52264 2037 20 and and CC A52264 2037 21 S S NNP A52264 2037 22 the the DT A52264 2037 23 South South NNP A52264 2037 24 point point NN A52264 2037 25 , , , A52264 2037 26 therefore therefore RB A52264 2037 27 according accord VBG A52264 2037 28 to to IN A52264 2037 29 the the DT A52264 2037 30 former former JJ A52264 2037 31 direction direction NN A52264 2037 32 , , , A52264 2037 33 I -PRON- PRP A52264 2037 34 adde adde VBP A52264 2037 35 the the DT A52264 2037 36 horizontal horizontal JJ A52264 2037 37 distance distance NN A52264 2037 38 PG PG NNP A52264 2037 39 24 24 CD A52264 2037 40 deg deg NN A52264 2037 41 . . . A52264 2038 1 to to IN A52264 2038 2 the the DT A52264 2038 3 Suns Suns NNP A52264 2038 4 Azimuth Azimuth NNP A52264 2038 5 GS GS NNP A52264 2038 6 40 40 CD A52264 2038 7 deg deg NN A52264 2038 8 , , , A52264 2038 9 and and CC A52264 2038 10 their -PRON- PRP$ A52264 2038 11 aggregate aggregate NN A52264 2038 12 is be VBZ A52264 2038 13 PS PS NNP A52264 2038 14 64 64 CD A52264 2038 15 deg deg NNP A52264 2038 16 . . . A52264 2039 1 the the DT A52264 2039 2 declination declination NN A52264 2039 3 sought seek VBD A52264 2039 4 ; ; : A52264 2039 5 and and CC A52264 2039 6 in in IN A52264 2039 7 this this DT A52264 2039 8 case case NN A52264 2039 9 it -PRON- PRP A52264 2039 10 is be VBZ A52264 2039 11 upon upon IN A52264 2039 12 the the DT A52264 2039 13 same same JJ A52264 2039 14 coast coast NN A52264 2039 15 with with IN A52264 2039 16 the the DT A52264 2039 17 sun sun NN A52264 2039 18 , , , A52264 2039 19 that that DT A52264 2039 20 is be VBZ A52264 2039 21 West West NNP A52264 2039 22 , , , A52264 2039 23 according accord VBG A52264 2039 24 to to IN A52264 2039 25 the the DT A52264 2039 26 rule rule NN A52264 2039 27 given give VBN A52264 2039 28 , , , A52264 2039 29 and and CC A52264 2039 30 as as IN A52264 2039 31 the the DT A52264 2039 32 figure figure NN A52264 2039 33 it -PRON- PRP A52264 2039 34 selfe selfe VBP A52264 2039 35 sheweth sheweth NNP A52264 2039 36 , , , A52264 2039 37 the the DT A52264 2039 38 East East NNP A52264 2039 39 and and CC A52264 2039 40 North North NNP A52264 2039 41 points point NNS A52264 2039 42 being be VBG A52264 2039 43 hid hide VBN A52264 2039 44 from from IN A52264 2039 45 our -PRON- PRP$ A52264 2039 46 sight sight NN A52264 2039 47 by by IN A52264 2039 48 the the DT A52264 2039 49 plain plain NN A52264 2039 50 it -PRON- PRP A52264 2039 51 selfe selfe VBD A52264 2039 52 ; ; : A52264 2039 53 this this DT A52264 2039 54 therefore therefore RB A52264 2039 55 is be VBZ A52264 2039 56 a a DT A52264 2039 57 South South NNP A52264 2039 58 plain plain JJ A52264 2039 59 declining decline VBG A52264 2039 60 West West NNP A52264 2039 61 64 64 CD A52264 2039 62 degrees degree NNS A52264 2039 63 . . . A52264 2040 1 2 2 LS A52264 2040 2 . . . A52264 2041 1 Example example NN A52264 2041 2 . . . A52264 2042 1 To to TO A52264 2042 2 finde finde NNP A52264 2042 3 a a DT A52264 2042 4 Meridian meridian JJ A52264 2042 5 line line NN A52264 2042 6 upon upon IN A52264 2042 7 an an DT A52264 2042 8 Horizontal horizontal JJ A52264 2042 9 plain plain NN A52264 2042 10 . . . A52264 2043 1 If if IN A52264 2043 2 your -PRON- PRP$ A52264 2043 3 plain plain NN A52264 2043 4 be be VB A52264 2043 5 levell levell JJ A52264 2043 6 with with IN A52264 2043 7 your -PRON- PRP$ A52264 2043 8 Horizon horizon NN A52264 2043 9 , , , A52264 2043 10 draw draw VB A52264 2043 11 thereon thereon NN A52264 2043 12 the the DT A52264 2043 13 Circle Circle NNP A52264 2043 14 BCMP BCMP NNP A52264 2043 15 , , , A52264 2043 16 then then RB A52264 2043 17 holding hold VBG A52264 2043 18 a a DT A52264 2043 19 threed threed NN A52264 2043 20 and and CC A52264 2043 21 plummet plummet NN A52264 2043 22 , , , A52264 2043 23 so so IN A52264 2043 24 as as IN A52264 2043 25 the the DT A52264 2043 26 shadow shadow NN A52264 2043 27 thereof thereof RB A52264 2043 28 may may MD A52264 2043 29 fall fall VB A52264 2043 30 upon upon IN A52264 2043 31 the the DT A52264 2043 32 center center NN A52264 2043 33 , , , A52264 2043 34 and and CC A52264 2043 35 draw draw VB A52264 2043 36 in in IN A52264 2043 37 the the DT A52264 2043 38 last last JJ A52264 2043 39 diagram diagram NN A52264 2043 40 the the DT A52264 2043 41 line line NN A52264 2043 42 of of IN A52264 2043 43 shadow shadow NN A52264 2043 44 HA HA NNP A52264 2043 45 : : : A52264 2043 46 then then RB A52264 2043 47 if if IN A52264 2043 48 the the DT A52264 2043 49 Suns Suns NNPS A52264 2043 50 Azimuth Azimuth NNP A52264 2043 51 shall shall MD A52264 2043 52 be be VB A52264 2043 53 50 50 CD A52264 2043 54 deg deg NN A52264 2043 55 . . . A52264 2044 1 and and CC A52264 2044 2 the the DT A52264 2044 3 line line NN A52264 2044 4 of of IN A52264 2044 5 shadow shadow NN A52264 2044 6 taken take VBN A52264 2044 7 in in IN A52264 2044 8 the the DT A52264 2044 9 afternoon afternoon NN A52264 2044 10 , , , A52264 2044 11 set set VBN A52264 2044 12 off off RP A52264 2044 13 the the DT A52264 2044 14 50 50 CD A52264 2044 15 deg deg NN A52264 2044 16 . . . A52264 2045 1 from from IN A52264 2045 2 H h NN A52264 2045 3 to to IN A52264 2045 4 S S NNP A52264 2045 5 , , , A52264 2045 6 and and CC A52264 2045 7 the the DT A52264 2045 8 line line NN A52264 2045 9 SN SN NNP A52264 2045 10 shall shall MD A52264 2045 11 be be VB A52264 2045 12 the the DT A52264 2045 13 Meridian meridian JJ A52264 2045 14 line line NN A52264 2045 15 desired desire VBD A52264 2045 16 . . . A52264 2046 1 Probl probl VB A52264 2046 2 . . . A52264 2047 1 4 4 LS A52264 2047 2 . . . A52264 2048 1 To to TO A52264 2048 2 draw draw VB A52264 2048 3 the the DT A52264 2048 4 houre houre NN A52264 2048 5 lines line NNS A52264 2048 6 upon upon IN A52264 2048 7 the the DT A52264 2048 8 Horizontal horizontal JJ A52264 2048 9 plain plain NN A52264 2048 10 . . . A52264 2049 1 THis this DT A52264 2049 2 plane plane NN A52264 2049 3 in in IN A52264 2049 4 respect respect NN A52264 2049 5 of of IN A52264 2049 6 the the DT A52264 2049 7 Poles Poles NNPS A52264 2049 8 thereof thereof RB A52264 2049 9 , , , A52264 2049 10 which which WDT A52264 2049 11 lie lie VBP A52264 2049 12 in in IN A52264 2049 13 the the DT A52264 2049 14 Vertex Vertex NNP A52264 2049 15 and and CC A52264 2049 16 Nadir Nadir NNP A52264 2049 17 of of IN A52264 2049 18 the the DT A52264 2049 19 place place NN A52264 2049 20 may may MD A52264 2049 21 be be VB A52264 2049 22 called call VBN A52264 2049 23 vertical vertical JJ A52264 2049 24 , , , A52264 2049 25 in in IN A52264 2049 26 respect respect NN A52264 2049 27 of of IN A52264 2049 28 the the DT A52264 2049 29 plane plane NN A52264 2049 30 it -PRON- PRP A52264 2049 31 self self NN A52264 2049 32 , , , A52264 2049 33 which which WDT A52264 2049 34 is be VBZ A52264 2049 35 parallel parallel JJ A52264 2049 36 to to IN A52264 2049 37 the the DT A52264 2049 38 Horizon Horizon NNP A52264 2049 39 , , , A52264 2049 40 horizontal horizontal JJ A52264 2049 41 , , , A52264 2049 42 howsoever howsoever VB A52264 2049 43 it -PRON- PRP A52264 2049 44 be be VB A52264 2049 45 termed term VBN A52264 2049 46 , , , A52264 2049 47 the the DT A52264 2049 48 making making NN A52264 2049 49 of of IN A52264 2049 50 the the DT A52264 2049 51 Dial Dial NNP A52264 2049 52 is be VBZ A52264 2049 53 the the DT A52264 2049 54 same same JJ A52264 2049 55 , , , A52264 2049 56 and and CC A52264 2049 57 there there EX A52264 2049 58 is be VBZ A52264 2049 59 but but CC A52264 2049 60 one one NN A52264 2049 61 onely onely RB A52264 2049 62 arch arch VBP A52264 2049 63 of of IN A52264 2049 64 the the DT A52264 2049 65 Meridian Meridian NNP A52264 2049 66 betwixt betwixt VBP A52264 2049 67 the the DT A52264 2049 68 pole pole NN A52264 2049 69 of of IN A52264 2049 70 the the DT A52264 2049 71 world world NN A52264 2049 72 and and CC A52264 2049 73 the the DT A52264 2049 74 plane plane NN A52264 2049 75 required require VBN A52264 2049 76 to to IN A52264 2049 77 the the DT A52264 2049 78 artificiall artificiall NN A52264 2049 79 projecting projecting NN A52264 2049 80 of of IN A52264 2049 81 the the DT A52264 2049 82 hour hour NN A52264 2049 83 - - HYPH A52264 2049 84 lines line NNS A52264 2049 85 thereof thereof RB A52264 2049 86 , , , A52264 2049 87 which which WDT A52264 2049 88 being be VBG A52264 2049 89 the the DT A52264 2049 90 height height NN A52264 2049 91 of of IN A52264 2049 92 the the DT A52264 2049 93 pole pole NN A52264 2049 94 above above IN A52264 2049 95 the the DT A52264 2049 96 horizon horizon NN A52264 2049 97 ( ( -LRB- A52264 2049 98 equal equal JJ A52264 2049 99 to to IN A52264 2049 100 the the DT A52264 2049 101 height height NN A52264 2049 102 of of IN A52264 2049 103 the the DT A52264 2049 104 stile stile NN A52264 2049 105 above above IN A52264 2049 106 the the DT A52264 2049 107 plane plane NN A52264 2049 108 ) ) -RRB- A52264 2049 109 is be VBZ A52264 2049 110 alwayes alwayes NNP A52264 2049 111 given give VBN A52264 2049 112 , , , A52264 2049 113 by by IN A52264 2049 114 the the DT A52264 2049 115 help help NN A52264 2049 116 whereof whereof IN A52264 2049 117 we -PRON- PRP A52264 2049 118 may may MD A52264 2049 119 presently presently RB A52264 2049 120 proceed proceed VB A52264 2049 121 to to TO A52264 2049 122 calculate calculate VB A52264 2049 123 the the DT A52264 2049 124 hour hour NN A52264 2049 125 distances distance NNS A52264 2049 126 in in IN A52264 2049 127 manner manner NN A52264 2049 128 following following NN A52264 2049 129 . . . A52264 2050 1 This this DT A52264 2050 2 plane plane NN A52264 2050 3 is be VBZ A52264 2050 4 represented represent VBN A52264 2050 5 in in IN A52264 2050 6 the the DT A52264 2050 7 fundamental fundamental JJ A52264 2050 8 Diagram Diagram NNP A52264 2050 9 by by IN A52264 2050 10 the the DT A52264 2050 11 outward outward JJ A52264 2050 12 circle circle NN A52264 2050 13 ESWN ESWN NNP A52264 2050 14 , , , A52264 2050 15 in in IN A52264 2050 16 which which WDT A52264 2050 17 the the DT A52264 2050 18 diameter diameter NN A52264 2050 19 SN SN NNP A52264 2050 20 drawn draw VBN A52264 2050 21 from from IN A52264 2050 22 the the DT A52264 2050 23 South South NNP A52264 2050 24 to to IN A52264 2050 25 the the DT A52264 2050 26 North North NNP A52264 2050 27 may may MD A52264 2050 28 go go VB A52264 2050 29 both both DT A52264 2050 30 for for IN A52264 2050 31 the the DT A52264 2050 32 Meridian meridian JJ A52264 2050 33 line line NN A52264 2050 34 , , , A52264 2050 35 and and CC A52264 2050 36 the the DT A52264 2050 37 Meridian meridian JJ A52264 2050 38 circle circle NN A52264 2050 39 , , , A52264 2050 40 Z z NN A52264 2050 41 for for IN A52264 2050 42 the the DT A52264 2050 43 Zenith Zenith NNP A52264 2050 44 , , , A52264 2050 45 P p NN A52264 2050 46 for for IN A52264 2050 47 the the DT A52264 2050 48 pole pole NN A52264 2050 49 of of IN A52264 2050 50 the the DT A52264 2050 51 world world NN A52264 2050 52 , , , A52264 2050 53 and and CC A52264 2050 54 the the DT A52264 2050 55 circles circle NNS A52264 2050 56 drawn draw VBN A52264 2050 57 through through IN A52264 2050 58 P p NN A52264 2050 59 for for IN A52264 2050 60 the the DT A52264 2050 61 hour hour NN A52264 2050 62 - - HYPH A52264 2050 63 circles circle NNS A52264 2050 64 of of IN A52264 2050 65 1 1 CD A52264 2050 66 , , , A52264 2050 67 2 2 CD A52264 2050 68 , , , A52264 2050 69 3 3 CD A52264 2050 70 , , , A52264 2050 71 4 4 CD A52264 2050 72 , , , A52264 2050 73 & & CC A52264 2050 74 c. c. NNP A52264 2050 75 as as IN A52264 2050 76 they -PRON- PRP A52264 2050 77 are be VBP A52264 2050 78 numbred numbre VBN A52264 2050 79 from from IN A52264 2050 80 the the DT A52264 2050 81 Meridian Meridian NNP A52264 2050 82 , , , A52264 2050 83 and and CC A52264 2050 84 limit limit VB A52264 2050 85 the the DT A52264 2050 86 distance distance NN A52264 2050 87 of of IN A52264 2050 88 each each DT A52264 2050 89 hour hour NN A52264 2050 90 line line NN A52264 2050 91 from from IN A52264 2050 92 the the DT A52264 2050 93 Meridian Meridian NNP A52264 2050 94 upon upon IN A52264 2050 95 the the DT A52264 2050 96 plane plane NN A52264 2050 97 , , , A52264 2050 98 according accord VBG A52264 2050 99 to to IN A52264 2050 100 the the DT A52264 2050 101 arches arch NNS A52264 2050 102 of of IN A52264 2050 103 the the DT A52264 2050 104 Horizon Horizon NNP A52264 2050 105 , , , A52264 2050 106 N N NNP A52264 2050 107 11 11 CD A52264 2050 108 , , , A52264 2050 109 N n CD A52264 2050 110 10 10 CD A52264 2050 111 , , , A52264 2050 112 N N NNP A52264 2050 113 9 9 CD A52264 2050 114 , , , A52264 2050 115 & & CC A52264 2050 116 c. c. NNP A52264 2050 117 which which WDT A52264 2050 118 by by IN A52264 2050 119 the the DT A52264 2050 120 severall severall JJ A52264 2050 121 Triangles Triangles NNP A52264 2050 122 SP SP NNP A52264 2050 123 11 11 CD A52264 2050 124 , , , A52264 2050 125 SP SP NNP A52264 2050 126 10 10 CD A52264 2050 127 , , , A52264 2050 128 SP SP NNP A52264 2050 129 9 9 CD A52264 2050 130 , , , A52264 2050 131 or or CC A52264 2050 132 their -PRON- PRP$ A52264 2050 133 verticals vertical NNS A52264 2050 134 NP NP NNP A52264 2050 135 11 11 CD A52264 2050 136 , , , A52264 2050 137 NP NP NNP A52264 2050 138 10 10 CD A52264 2050 139 , , , A52264 2050 140 NP NP NNP A52264 2050 141 9 9 CD A52264 2050 142 may may MD A52264 2050 143 thus thus RB A52264 2050 144 be be VB A52264 2050 145 found find VBN A52264 2050 146 ; ; : A52264 2050 147 because because IN A52264 2050 148 every every DT A52264 2050 149 quarter quarter NN A52264 2050 150 of of IN A52264 2050 151 the the DT A52264 2050 152 Horizon Horizon NNP A52264 2050 153 is be VBZ A52264 2050 154 alike alike JJ A52264 2050 155 , , , A52264 2050 156 you -PRON- PRP A52264 2050 157 may may MD A52264 2050 158 begin begin VB A52264 2050 159 with with IN A52264 2050 160 which which WDT A52264 2050 161 you -PRON- PRP A52264 2050 162 will will MD A52264 2050 163 , , , A52264 2050 164 and and CC A52264 2050 165 resolve resolve VB A52264 2050 166 each each DT A52264 2050 167 hours hour NNS A52264 2050 168 distance distance NN A52264 2050 169 , , , A52264 2050 170 either either CC A52264 2050 171 by by IN A52264 2050 172 the the DT A52264 2050 173 small small JJ A52264 2050 174 Triangle Triangle NNP A52264 2050 175 NP NP NNP A52264 2050 176 11 11 CD A52264 2050 177 , , , A52264 2050 178 or or CC A52264 2050 179 the the DT A52264 2050 180 verticall verticall NN A52264 2050 181 Triangle Triangle NNP A52264 2050 182 KP KP NNP A52264 2050 183 11 11 CD A52264 2050 184 . . . A52264 2051 1 In in IN A52264 2051 2 the the DT A52264 2051 3 Triangle Triangle NNP A52264 2051 4 PN11 PN11 NNP A52264 2051 5 , , , A52264 2051 6 the the DT A52264 2051 7 side side NN A52264 2051 8 PN PN NNP A52264 2051 9 is be VBZ A52264 2051 10 alwayes alwayes NNP A52264 2051 11 given give VBN A52264 2051 12 , , , A52264 2051 13 and and CC A52264 2051 14 is be VBZ A52264 2051 15 the the DT A52264 2051 16 height height NN A52264 2051 17 of of IN A52264 2051 18 the the DT A52264 2051 19 pole pole NN A52264 2051 20 above above IN A52264 2051 21 the the DT A52264 2051 22 horizon horizon NN A52264 2051 23 , , , A52264 2051 24 the the DT A52264 2051 25 which which WDT A52264 2051 26 at at IN A52264 2051 27 London London NNP A52264 2051 28 is be VBZ A52264 2051 29 51 51 CD A52264 2051 30 deg deg NN A52264 2051 31 . . . A52264 2052 1 53 53 CD A52264 2052 2 min min NN A52264 2052 3 . . . A52264 2053 1 and and CC A52264 2053 2 the the DT A52264 2053 3 angle angle NN A52264 2053 4 at at IN A52264 2053 5 P p NN A52264 2053 6 is be VBZ A52264 2053 7 given give VBN A52264 2053 8 one one CD A52264 2053 9 hours hour NNS A52264 2053 10 distance distance NN A52264 2053 11 from from IN A52264 2053 12 the the DT A52264 2053 13 Meridian Meridian NNP A52264 2053 14 , , , A52264 2053 15 whose whose WP$ A52264 2053 16 measure measure NN A52264 2053 17 in in IN A52264 2053 18 the the DT A52264 2053 19 Equinoctiall Equinoctiall NNP A52264 2053 20 is be VBZ A52264 2053 21 15 15 CD A52264 2053 22 deg deg NN A52264 2053 23 . . . A52264 2054 1 & & CC A52264 2054 2 the the DT A52264 2054 3 angle angle NN A52264 2054 4 at at IN A52264 2054 5 N N NNP A52264 2054 6 is be VBZ A52264 2054 7 alwayes alwayes NNP A52264 2054 8 right right JJ A52264 2054 9 , , , A52264 2054 10 that that RB A52264 2054 11 is is RB A52264 2054 12 90 90 CD A52264 2054 13 deg deg NN A52264 2054 14 . . . A52264 2055 1 wherefore wherefore VBN A52264 2055 2 by by IN A52264 2055 3 the the DT A52264 2055 4 first first JJ A52264 2055 5 case case NN A52264 2055 6 of of IN A52264 2055 7 right right JJ A52264 2055 8 angled angle VBN A52264 2055 9 spherical spherical JJ A52264 2055 10 Triangles Triangles NNPS A52264 2055 11 , , , A52264 2055 12 the the DT A52264 2055 13 perpendicular perpendicular JJ A52264 2055 14 N N NNP A52264 2055 15 11 11 CD A52264 2055 16 may may MD A52264 2055 17 thus thus RB A52264 2055 18 be be VB A52264 2055 19 found find VBN A52264 2055 20 . . . A52264 2056 1 As as IN A52264 2056 2 Radius Radius NNP A52264 2056 3 90 90 CD A52264 2056 4 , , , A52264 2056 5 10.000000 10.000000 CD A52264 2056 6 To to IN A52264 2056 7 the the DT A52264 2056 8 tangent tangent NN A52264 2056 9 of of IN A52264 2056 10 NP11 NP11 NNP A52264 2056 11 , , , A52264 2056 12 15d 15d NNS A52264 2056 13 . . . A52264 2057 1 9.428052 9.428052 CD A52264 2057 2 So so RB A52264 2057 3 is be VBZ A52264 2057 4 the the DT A52264 2057 5 sine sine NN A52264 2057 6 of of IN A52264 2057 7 PN PN NNP A52264 2057 8 51.53 51.53 CD A52264 2057 9 . . . A52264 2058 1 9.893725 9.893725 CD A52264 2058 2         _SP A52264 2058 3 To to IN A52264 2058 4 the the DT A52264 2058 5 tangent tangent NN A52264 2058 6 of of IN A52264 2058 7 N11 N11 NNP A52264 2058 8 , , , A52264 2058 9 11.85 11.85 CD A52264 2058 10 . . . A52264 2059 1 9.321777 9.321777 CD A52264 2059 2 Which which WDT A52264 2059 3 is be VBZ A52264 2059 4 the the DT A52264 2059 5 distance distance NN A52264 2059 6 of of IN A52264 2059 7 the the DT A52264 2059 8 hours hour NNS A52264 2059 9 of of IN A52264 2059 10 1 1 CD A52264 2059 11 and and CC A52264 2059 12 11 11 CD A52264 2059 13 , , , A52264 2059 14 on on IN A52264 2059 15 each each DT A52264 2059 16 side side NN A52264 2059 17 of of IN A52264 2059 18 the the DT A52264 2059 19 Meridian Meridian NNP A52264 2059 20 , , , A52264 2059 21 thus thus RB A52264 2059 22 in in IN A52264 2059 23 all all DT A52264 2059 24 respects respect NNS A52264 2059 25 must must MD A52264 2059 26 you -PRON- PRP A52264 2059 27 finde finde VB A52264 2059 28 the the DT A52264 2059 29 distance distance NN A52264 2059 30 of of IN A52264 2059 31 2 2 CD A52264 2059 32 and and CC A52264 2059 33 10 10 CD A52264 2059 34 of of IN A52264 2059 35 clock clock NN A52264 2059 36 , , , A52264 2059 37 by by IN A52264 2059 38 resolving resolve VBG A52264 2059 39 the the DT A52264 2059 40 triangle triangle NN A52264 2059 41 NP10 NP10 NNP A52264 2059 42 , , , A52264 2059 43 and and CC A52264 2059 44 of of IN A52264 2059 45 3 3 CD A52264 2059 46 and and CC A52264 2059 47 9 9 CD A52264 2059 48 of of IN A52264 2059 49 clock clock NN A52264 2059 50 , , , A52264 2059 51 by by IN A52264 2059 52 resolving resolve VBG A52264 2059 53 the the DT A52264 2059 54 triangle triangle NN A52264 2059 55 NP9 NP9 NNP A52264 2059 56 ; ; : A52264 2059 57 and and CC A52264 2059 58 so so RB A52264 2059 59 of of IN A52264 2059 60 the the DT A52264 2059 61 rest rest NN A52264 2059 62 : : : A52264 2059 63 in in IN A52264 2059 64 which which WDT A52264 2059 65 , , , A52264 2059 66 as as IN A52264 2059 67 the the DT A52264 2059 68 angle angle NN A52264 2059 69 at at IN A52264 2059 70 Pincreafeth Pincreafeth NNP A52264 2059 71 which which WDT A52264 2059 72 for for IN A52264 2059 73 2 2 CD A52264 2059 74 hours hour NNS A52264 2059 75 is be VBZ A52264 2059 76 30 30 CD A52264 2059 77 degrees degree NNS A52264 2059 78 , , , A52264 2059 79 for for IN A52264 2059 80 3 3 CD A52264 2059 81 hours hour NNS A52264 2059 82 45 45 CD A52264 2059 83 degr degr NN A52264 2059 84 . . . A52264 2060 1 for for IN A52264 2060 2 4 4 CD A52264 2060 3 hours hour NNS A52264 2060 4 60 60 CD A52264 2060 5 degr degr NN A52264 2060 6 . . . A52264 2061 1 for for IN A52264 2061 2 5 5 CD A52264 2061 3 hours hour NNS A52264 2061 4 75 75 CD A52264 2061 5 degr degr NN A52264 2061 6 . . . A52264 2062 1 so so CC A52264 2062 2 will will MD A52264 2062 3 the the DT A52264 2062 4 arches arch NNS A52264 2062 5 of of IN A52264 2062 6 the the DT A52264 2062 7 Horizon Horizon NNP A52264 2062 8 N10 N10 NNP A52264 2062 9 , , , A52264 2062 10 N9 N9 NNP A52264 2062 11 , , , A52264 2062 12 N8 N8 NNP A52264 2062 13 , , , A52264 2062 14 N7 N7 NNP A52264 2062 15 , , , A52264 2062 16 vary vary VBP A52264 2062 17 proportionably proportionably RB A52264 2062 18 , , , A52264 2062 19 and and CC A52264 2062 20 give give VB A52264 2062 21 each each DT A52264 2062 22 hours hour NNS A52264 2062 23 true true JJ A52264 2062 24 distance distance NN A52264 2062 25 from from IN A52264 2062 26 the the DT A52264 2062 27 Meridian Meridian NNP A52264 2062 28 , , , A52264 2062 29 which which WDT A52264 2062 30 is be VBZ A52264 2062 31 the the DT A52264 2062 32 thing thing NN A52264 2062 33 desired desire VBN A52264 2062 34 . . . A52264 2063 1 Probl probl VB A52264 2063 2 . . . A52264 2064 1 5 5 CD A52264 2064 2 . . . A52264 2065 1 To to TO A52264 2065 2 draw draw VB A52264 2065 3 the the DT A52264 2065 4 hour hour NN A52264 2065 5 - - HYPH A52264 2065 6 lines line NNS A52264 2065 7 upon upon IN A52264 2065 8 a a DT A52264 2065 9 direct direct JJ A52264 2065 10 South South NNP A52264 2065 11 or or CC A52264 2065 12 North North NNP A52264 2065 13 plane plane NN A52264 2065 14 . . . A52264 2066 1 EVery every DT A52264 2066 2 perpendicular perpendicular JJ A52264 2066 3 plane plane NN A52264 2066 4 , , , A52264 2066 5 whether whether IN A52264 2066 6 direct direct JJ A52264 2066 7 or or CC A52264 2066 8 declining declining JJ A52264 2066 9 , , , A52264 2066 10 lieth lieth NNP A52264 2066 11 in in IN A52264 2066 12 some some DT A52264 2066 13 Azimuth Azimuth NNP A52264 2066 14 or or CC A52264 2066 15 other other JJ A52264 2066 16 ; ; : A52264 2066 17 as as RB A52264 2066 18 here here RB A52264 2066 19 the the DT A52264 2066 20 South South NNP A52264 2066 21 wall wall NN A52264 2066 22 or or CC A52264 2066 23 plane plane NN A52264 2066 24 doth doth NN A52264 2066 25 lie lie NN A52264 2066 26 in in IN A52264 2066 27 the the DT A52264 2066 28 prime prime JJ A52264 2066 29 vertical vertical NN A52264 2066 30 or or CC A52264 2066 31 Azimuth Azimuth NNP A52264 2066 32 of of IN A52264 2066 33 East East NNP A52264 2066 34 and and CC A52264 2066 35 West West NNP A52264 2066 36 , , , A52264 2066 37 represented represent VBN A52264 2066 38 in in IN A52264 2066 39 the the DT A52264 2066 40 fundamental fundamental JJ A52264 2066 41 Diagram Diagram NNP A52264 2066 42 by by IN A52264 2066 43 the the DT A52264 2066 44 line line NN A52264 2066 45 EZW EZW NNP A52264 2066 46 , , , A52264 2066 47 and and CC A52264 2066 48 therefore therefore RB A52264 2066 49 it -PRON- PRP A52264 2066 50 cutteth cutteth VBP A52264 2066 51 the the DT A52264 2066 52 Meridian Meridian NNP A52264 2066 53 of of IN A52264 2066 54 the the DT A52264 2066 55 place place NN A52264 2066 56 at at IN A52264 2066 57 right right JJ A52264 2066 58 angles angle NNS A52264 2066 59 in in IN A52264 2066 60 the the DT A52264 2066 61 Zenith Zenith NNP A52264 2066 62 , , , A52264 2066 63 and and CC A52264 2066 64 hath hath VB A52264 2066 65 the the DT A52264 2066 66 two two CD A52264 2066 67 poles pole NNS A52264 2066 68 of of IN A52264 2066 69 the the DT A52264 2066 70 plane plane NN A52264 2066 71 seated seat VBN A52264 2066 72 in in IN A52264 2066 73 the the DT A52264 2066 74 North North NNP A52264 2066 75 and and CC A52264 2066 76 South south JJ A52264 2066 77 intersection intersection NN A52264 2066 78 of of IN A52264 2066 79 the the DT A52264 2066 80 Meridian Meridian NNP A52264 2066 81 and and CC A52264 2066 82 Horizon Horizon NNP A52264 2066 83 ; ; : A52264 2066 84 and and CC A52264 2066 85 because because IN A52264 2066 86 the the DT A52264 2066 87 plane plane NN A52264 2066 88 hideth hideth NN A52264 2066 89 the the DT A52264 2066 90 North North NNP A52264 2066 91 pole pole NN A52264 2066 92 from from IN A52264 2066 93 our -PRON- PRP$ A52264 2066 94 sight sight NN A52264 2066 95 , , , A52264 2066 96 we -PRON- PRP A52264 2066 97 may may MD A52264 2066 98 therefore therefore RB A52264 2066 99 conclude conclude VB A52264 2066 100 , , , A52264 2066 101 ( ( -LRB- A52264 2066 102 it -PRON- PRP A52264 2066 103 being be VBG A52264 2066 104 a a DT A52264 2066 105 general general JJ A52264 2066 106 rule rule NN A52264 2066 107 that that IN A52264 2066 108 every every DT A52264 2066 109 plane plane NN A52264 2066 110 hath hath NN A52264 2066 111 that that DT A52264 2066 112 pole pole NN A52264 2066 113 depressed depress VBD A52264 2066 114 , , , A52264 2066 115 or or CC A52264 2066 116 raised raise VBN A52264 2066 117 above above IN A52264 2066 118 it -PRON- PRP A52264 2066 119 , , , A52264 2066 120 which which WDT A52264 2066 121 lieth lieth VBD A52264 2066 122 open open JJ A52264 2066 123 unto unto IN A52264 2066 124 it -PRON- PRP A52264 2066 125 ) ) -RRB- A52264 2066 126 that that IN A52264 2066 127 the the DT A52264 2066 128 South South NNP A52264 2066 129 pole pole NN A52264 2066 130 is be VBZ A52264 2066 131 elevated elevate VBN A52264 2066 132 thereupon thereupon RB A52264 2066 133 , , , A52264 2066 134 and and CC A52264 2066 135 the the DT A52264 2066 136 stile stile NN A52264 2066 137 of of IN A52264 2066 138 this this DT A52264 2066 139 Diall Diall NNP A52264 2066 140 must must MD A52264 2066 141 look look VB A52264 2066 142 downwards downwards RB A52264 2066 143 thereunto thereunto NNS A52264 2066 144 , , , A52264 2066 145 erected erect VBN A52264 2066 146 above above IN A52264 2066 147 the the DT A52264 2066 148 plane plane NN A52264 2066 149 the the DT A52264 2066 150 height height NN A52264 2066 151 of of IN A52264 2066 152 the the DT A52264 2066 153 Antartick Antartick NNP A52264 2066 154 Pole Pole NNP A52264 2066 155 , , , A52264 2066 156 which which WDT A52264 2066 157 being be VBG A52264 2066 158 an an DT A52264 2066 159 arch arch NN A52264 2066 160 of of IN A52264 2066 161 the the DT A52264 2066 162 Meridian Meridian NNP A52264 2066 163 betwixt betwixt NNP A52264 2066 164 the the DT A52264 2066 165 South South NNP A52264 2066 166 pole pole NN A52264 2066 167 and and CC A52264 2066 168 the the DT A52264 2066 169 Nadir Nadir NNP A52264 2066 170 , , , A52264 2066 171 is be VBZ A52264 2066 172 equall equall JJ A52264 2066 173 to to IN A52264 2066 174 the the DT A52264 2066 175 opposite opposite JJ A52264 2066 176 part part NN A52264 2066 177 thereof thereof RB A52264 2066 178 , , , A52264 2066 179 betwixt betwixt VB A52264 2066 180 the the DT A52264 2066 181 North North NNP A52264 2066 182 pole pole NN A52264 2066 183 and and CC A52264 2066 184 the the DT A52264 2066 185 Zenith Zenith NNP A52264 2066 186 ; ; : A52264 2066 187 and and CC A52264 2066 188 therefore therefore RB A52264 2066 189 the the DT A52264 2066 190 complement complement NN A52264 2066 191 of of IN A52264 2066 192 the the DT A52264 2066 193 North North NNP A52264 2066 194 pole pole NN A52264 2066 195 above above IN A52264 2066 196 the the DT A52264 2066 197 horizon horizon NN A52264 2066 198 . . . A52264 2067 1 Suppose suppose VB A52264 2067 2 then then RB A52264 2067 3 that that IN A52264 2067 4 P p NN A52264 2067 5 in in IN A52264 2067 6 the the DT A52264 2067 7 fundamental fundamental JJ A52264 2067 8 Scheme scheme NN A52264 2067 9 , , , A52264 2067 10 be be VB A52264 2067 11 now now RB A52264 2067 12 the the DT A52264 2067 13 South South NNP A52264 2067 14 pole pole NN A52264 2067 15 , , , A52264 2067 16 and and CC A52264 2067 17 N N NNP A52264 2067 18 the the DT A52264 2067 19 South South NNP A52264 2067 20 part part NN A52264 2067 21 of of IN A52264 2067 22 the the DT A52264 2067 23 Meridian Meridian NNP A52264 2067 24 , , , A52264 2067 25 S S NNP A52264 2067 26 the the DT A52264 2067 27 North North NNP A52264 2067 28 ; ; : A52264 2067 29 then then RB A52264 2067 30 do do VB A52264 2067 31 all all PDT A52264 2067 32 the the DT A52264 2067 33 hour hour NN A52264 2067 34 - - HYPH A52264 2067 35 circles circle NNS A52264 2067 36 from from IN A52264 2067 37 the the DT A52264 2067 38 pole pole NN A52264 2067 39 cut cut VBD A52264 2067 40 the the DT A52264 2067 41 line line NN A52264 2067 42 EZW EZW NNP A52264 2067 43 , , , A52264 2067 44 representing represent VBG A52264 2067 45 the the DT A52264 2067 46 plane plane NN A52264 2067 47 unequally unequally RB A52264 2067 48 , , , A52264 2067 49 as as IN A52264 2067 50 the the DT A52264 2067 51 hour hour NN A52264 2067 52 - - HYPH A52264 2067 53 lines line NNS A52264 2067 54 will will MD A52264 2067 55 do do VB A52264 2067 56 upon upon IN A52264 2067 57 the the DT A52264 2067 58 plane plane NN A52264 2067 59 it -PRON- PRP A52264 2067 60 self self VBP A52264 2067 61 , , , A52264 2067 62 and and CC A52264 2067 63 as as IN A52264 2067 64 it -PRON- PRP A52264 2067 65 doth doth JJ A52264 2067 66 appear appear VBP A52264 2067 67 by by IN A52264 2067 68 the the DT A52264 2067 69 figures figure NNS A52264 2067 70 set set VBN A52264 2067 71 at at IN A52264 2067 72 the the DT A52264 2067 73 end end NN A52264 2067 74 of of IN A52264 2067 75 every every DT A52264 2067 76 hour hour NN A52264 2067 77 line line NN A52264 2067 78 in in IN A52264 2067 79 the the DT A52264 2067 80 Scheme Scheme NNP A52264 2067 81 . . . A52264 2068 1 Now now RB A52264 2068 2 having have VBG A52264 2068 3 already already RB A52264 2068 4 the the DT A52264 2068 5 poles pole NNS A52264 2068 6 elevation elevation NN A52264 2068 7 given give VBN A52264 2068 8 , , , A52264 2068 9 as as IN A52264 2068 10 was be VBD A52264 2068 11 in in IN A52264 2068 12 the the DT A52264 2068 13 horizontal horizontal JJ A52264 2068 14 , , , A52264 2068 15 there there EX A52264 2068 16 is be VBZ A52264 2068 17 nothing nothing NN A52264 2068 18 else else RB A52264 2068 19 to to TO A52264 2068 20 be be VB A52264 2068 21 done do VBN A52264 2068 22 , , , A52264 2068 23 but but CC A52264 2068 24 to to TO A52264 2068 25 calculate calculate VB A52264 2068 26 the the DT A52264 2068 27 true true JJ A52264 2068 28 hour hour NN A52264 2068 29 - - HYPH A52264 2068 30 distances distance NNS A52264 2068 31 upon upon IN A52264 2068 32 the the DT A52264 2068 33 line line NN A52264 2068 34 EZW EZW NNP A52264 2068 35 from from IN A52264 2068 36 the the DT A52264 2068 37 meridian meridian JJ A52264 2068 38 SZN SZN NNP A52264 2068 39 ; ; : A52264 2068 40 and and CC A52264 2068 41 then then RB A52264 2068 42 to to TO A52264 2068 43 proceed proceed VB A52264 2068 44 , , , A52264 2068 45 as as RB A52264 2068 46 formerly formerly RB A52264 2068 47 , , , A52264 2068 48 and and CC A52264 2068 49 note note VB A52264 2068 50 that that IN A52264 2068 51 because because IN A52264 2068 52 the the DT A52264 2068 53 hours hour NNS A52264 2068 54 equidistant equidistant NN A52264 2068 55 on on IN A52264 2068 56 both both DT A52264 2068 57 sides side NNS A52264 2068 58 the the DT A52264 2068 59 meridian meridian NN A52264 2068 60 , , , A52264 2068 61 are be VBP A52264 2068 62 equal equal JJ A52264 2068 63 upon upon IN A52264 2068 64 the the DT A52264 2068 65 plane plane NN A52264 2068 66 , , , A52264 2068 67 the the DT A52264 2068 68 one one CD A52264 2068 69 half half NN A52264 2068 70 being be VBG A52264 2068 71 found find VBN A52264 2068 72 , , , A52264 2068 73 the the DT A52264 2068 74 other other JJ A52264 2068 75 is be VBZ A52264 2068 76 also also RB A52264 2068 77 had have VBN A52264 2068 78 , , , A52264 2068 79 you -PRON- PRP A52264 2068 80 may may MD A52264 2068 81 therefore therefore RB A52264 2068 82 begin begin VB A52264 2068 83 with with IN A52264 2068 84 which which WDT A52264 2068 85 side side NN A52264 2068 86 you -PRON- PRP A52264 2068 87 will will MD A52264 2068 88 . . . A52264 2069 1 In in IN A52264 2069 2 the the DT A52264 2069 3 triangle triangle NN A52264 2069 4 ZP11 ZP11 NNP A52264 2069 5 , , , A52264 2069 6 right right RB A52264 2069 7 angled angle VBD A52264 2069 8 at at IN A52264 2069 9 Z Z NNP A52264 2069 10 , , , A52264 2069 11 I -PRON- PRP A52264 2069 12 have have VBP A52264 2069 13 ZP ZP NNP A52264 2069 14 given give VBN A52264 2069 15 , , , A52264 2069 16 the the DT A52264 2069 17 complement complement NN A52264 2069 18 of of IN A52264 2069 19 the the DT A52264 2069 20 height height NN A52264 2069 21 of of IN A52264 2069 22 the the DT A52264 2069 23 pole pole NNP A52264 2069 24 38 38 CD A52264 2069 25 deg deg NNP A52264 2069 26 . . . A52264 2070 1 47 47 CD A52264 2070 2 min min NN A52264 2070 3 . . . A52264 2071 1 the the DT A52264 2071 2 which which WDT A52264 2071 3 is be VBZ A52264 2071 4 also also RB A52264 2071 5 the the DT A52264 2071 6 height height NN A52264 2071 7 of of IN A52264 2071 8 the the DT A52264 2071 9 stile stile NN A52264 2071 10 to to IN A52264 2071 11 this this DT A52264 2071 12 Diall Diall NNP A52264 2071 13 , , , A52264 2071 14 and and CC A52264 2071 15 the the DT A52264 2071 16 angle angle NN A52264 2071 17 at at IN A52264 2071 18 P15 P15 NNP A52264 2071 19 degrees degree NNS A52264 2071 20 one one CD A52264 2071 21 hours hour NNS A52264 2071 22 distance distance NN A52264 2071 23 from from IN A52264 2071 24 the the DT A52264 2071 25 meridian meridian NN A52264 2071 26 upon upon IN A52264 2071 27 the the DT A52264 2071 28 Equator Equator NNP A52264 2071 29 to to TO A52264 2071 30 finde finde VB A52264 2071 31 the the DT A52264 2071 32 side side NN A52264 2071 33 Z11 Z11 NNP A52264 2071 34 , , , A52264 2071 35 for for IN A52264 2071 36 which which WDT A52264 2071 37 by by IN A52264 2071 38 the the DT A52264 2071 39 first first JJ A52264 2071 40 case case NN A52264 2071 41 of of IN A52264 2071 42 right right JJ A52264 2071 43 angled angle VBN A52264 2071 44 sphericall sphericall NN A52264 2071 45 triangles triangle NNS A52264 2071 46 , , , A52264 2071 47 the the DT A52264 2071 48 proportion proportion NN A52264 2071 49 is be VBZ A52264 2071 50 , , , A52264 2071 51 as as IN A52264 2071 52 before before RB A52264 2071 53 . . . A52264 2072 1 As as IN A52264 2072 2 the the DT A52264 2072 3 Radius Radius NNP A52264 2072 4 90 90 CD A52264 2072 5 , , , A52264 2072 6 10.000000 10.000000 CD A52264 2072 7 To to IN A52264 2072 8 the the DT A52264 2072 9 sine sine NN A52264 2072 10 of of IN A52264 2072 11 PZ PZ NNP A52264 2072 12 38.47 38.47 CD A52264 2072 13 . . . A52264 2073 1 9.793863 9.793863 CD A52264 2073 2 So so RB A52264 2073 3 is be VBZ A52264 2073 4 the the DT A52264 2073 5 tangent tangent NN A52264 2073 6 of of IN A52264 2073 7 ZP11 ZP11 NNP A52264 2073 8 , , , A52264 2073 9 15d 15d CD A52264 2073 10 . . . A52264 2074 1 9.428052 9.428052 CD A52264 2074 2         _SP A52264 2074 3 To to IN A52264 2074 4 the the DT A52264 2074 5 tangent tangent NN A52264 2074 6 of of IN A52264 2074 7 Z11 Z11 NNP A52264 2074 8 , , , A52264 2074 9 9.47 9.47 CD A52264 2074 10 . . . A52264 2075 1 9.221915 9.221915 CD A52264 2075 2 And and CC A52264 2075 3 thus thus RB A52264 2075 4 in in IN A52264 2075 5 all all DT A52264 2075 6 respects respect NNS A52264 2075 7 must must MD A52264 2075 8 you -PRON- PRP A52264 2075 9 finde finde VB A52264 2075 10 the the DT A52264 2075 11 distance distance NN A52264 2075 12 of of IN A52264 2075 13 2 2 CD A52264 2075 14 and and CC A52264 2075 15 10 10 CD A52264 2075 16 , , , A52264 2075 17 of of IN A52264 2075 18 3 3 CD A52264 2075 19 and and CC A52264 2075 20 9 9 CD A52264 2075 21 ; ; : A52264 2075 22 and and CC A52264 2075 23 so so RB A52264 2075 24 forward forward RB A52264 2075 25 , , , A52264 2075 26 as as IN A52264 2075 27 was be VBD A52264 2075 28 directed direct VBN A52264 2075 29 for for IN A52264 2075 30 the the DT A52264 2075 31 houres houre NNS A52264 2075 32 in in IN A52264 2075 33 the the DT A52264 2075 34 horizontal horizontal JJ A52264 2075 35 plane plane NN A52264 2075 36 . . . A52264 2076 1 The the DT A52264 2076 2 North North NNP A52264 2076 3 plane plane NN A52264 2076 4 is be VBZ A52264 2076 5 but but CC A52264 2076 6 the the DT A52264 2076 7 back back JJ A52264 2076 8 side side NN A52264 2076 9 of of IN A52264 2076 10 the the DT A52264 2076 11 South South NNP A52264 2076 12 , , , A52264 2076 13 lying lie VBG A52264 2076 14 in in IN A52264 2076 15 the the DT A52264 2076 16 same same JJ A52264 2076 17 Azimuth Azimuth NNP A52264 2076 18 with with IN A52264 2076 19 it -PRON- PRP A52264 2076 20 , , , A52264 2076 21 & & CC A52264 2076 22 represented represent VBN A52264 2076 23 in in IN A52264 2076 24 the the DT A52264 2076 25 Scheme Scheme NNP A52264 2076 26 by by IN A52264 2076 27 the the DT A52264 2076 28 back back JJ A52264 2076 29 part part NN A52264 2076 30 of of IN A52264 2076 31 the the DT A52264 2076 32 same same JJ A52264 2076 33 streight streight JJ A52264 2076 34 line line NN A52264 2076 35 EZW EZW NNP A52264 2076 36 , , , A52264 2076 37 whatsoever whatsoever RB A52264 2076 38 therefore therefore RB A52264 2076 39 is be VBZ A52264 2076 40 said say VBN A52264 2076 41 of of IN A52264 2076 42 the the DT A52264 2076 43 South South NNP A52264 2076 44 plane plane NN A52264 2076 45 may may MD A52264 2076 46 be be VB A52264 2076 47 applied apply VBN A52264 2076 48 to to IN A52264 2076 49 the the DT A52264 2076 50 North North NNP A52264 2076 51 ; ; : A52264 2076 52 because because IN A52264 2076 53 as as IN A52264 2076 54 the the DT A52264 2076 55 South South NNP A52264 2076 56 pole pole NN A52264 2076 57 is be VBZ A52264 2076 58 above above IN A52264 2076 59 the the DT A52264 2076 60 South South NNP A52264 2076 61 plane plane NN A52264 2076 62 38 38 CD A52264 2076 63 degr degr NN A52264 2076 64 . . . A52264 2077 1 47 47 CD A52264 2077 2 min min NN A52264 2077 3 . . . A52264 2078 1 so so RB A52264 2078 2 is be VBZ A52264 2078 3 the the DT A52264 2078 4 North North NNP A52264 2078 5 pole pole NN A52264 2078 6 under under IN A52264 2078 7 the the DT A52264 2078 8 North North NNP A52264 2078 9 plane plane NN A52264 2078 10 as as RB A52264 2078 11 much much RB A52264 2078 12 , , , A52264 2078 13 and and CC A52264 2078 14 each each DT A52264 2078 15 stile stile NN A52264 2078 16 must must MD A52264 2078 17 respect respect VB A52264 2078 18 his -PRON- PRP$ A52264 2078 19 own own JJ A52264 2078 20 pole pole NN A52264 2078 21 , , , A52264 2078 22 onely onely RB A52264 2078 23 the the DT A52264 2078 24 meridian meridian NN A52264 2078 25 upon upon IN A52264 2078 26 this this DT A52264 2078 27 plane plane NN A52264 2078 28 representeth representeth VB A52264 2078 29 the the DT A52264 2078 30 midnight midnight NN A52264 2078 31 , , , A52264 2078 32 and and CC A52264 2078 33 not not RB A52264 2078 34 the the DT A52264 2078 35 noon noon NN A52264 2078 36 , , , A52264 2078 37 and and CC A52264 2078 38 the the DT A52264 2078 39 hours hour NNS A52264 2078 40 about about IN A52264 2078 41 it -PRON- PRP A52264 2078 42 9 9 CD A52264 2078 43 , , , A52264 2078 44 10 10 CD A52264 2078 45 , , , A52264 2078 46 11 11 CD A52264 2078 47 , , , A52264 2078 48 and and CC A52264 2078 49 1 1 CD A52264 2078 50 , , , A52264 2078 51 2 2 CD A52264 2078 52 , , , A52264 2078 53 3 3 CD A52264 2078 54 , , , A52264 2078 55 are be VBP A52264 2078 56 altogether altogether RB A52264 2078 57 uselesse uselesse NNP A52264 2078 58 , , , A52264 2078 59 because because IN A52264 2078 60 the the DT A52264 2078 61 Sun Sun NNP A52264 2078 62 in in IN A52264 2078 63 his -PRON- PRP$ A52264 2078 64 greatest great JJS A52264 2078 65 northern northern JJ A52264 2078 66 declination declination NN A52264 2078 67 hath hath NNP A52264 2078 68 but but CC A52264 2078 69 39 39 CD A52264 2078 70 degr degr NN A52264 2078 71 . . . A52264 2079 1 90 90 CD A52264 2079 2 min min NN A52264 2079 3 . . . A52264 2080 1 of of IN A52264 2080 2 amplitude amplitude NN A52264 2080 3 in in IN A52264 2080 4 this this DT A52264 2080 5 our -PRON- PRP$ A52264 2080 6 Latitude Latitude NNP A52264 2080 7 ; ; , A52264 2080 8 and and CC A52264 2080 9 therefore therefore RB A52264 2080 10 riseth riseth NNP A52264 2080 11 but but CC A52264 2080 12 22 22 CD A52264 2080 13 min min NN A52264 2080 14 . . . A52264 2081 1 before before IN A52264 2081 2 4 4 CD A52264 2081 3 . . . A52264 2081 4 in in IN A52264 2081 5 the the DT A52264 2081 6 morning morning NN A52264 2081 7 , , , A52264 2081 8 and and CC A52264 2081 9 setteth setteth VB A52264 2081 10 so so RB A52264 2081 11 much much RB A52264 2081 12 after after IN A52264 2081 13 8 8 CD A52264 2081 14 at at IN A52264 2081 15 night night NN A52264 2081 16 ; ; : A52264 2081 17 neither neither CC A52264 2081 18 can can MD A52264 2081 19 it -PRON- PRP A52264 2081 20 shine shine VB A52264 2081 21 upon upon IN A52264 2081 22 this this DT A52264 2081 23 plane plane NN A52264 2081 24 longer long RBR A52264 2081 25 then then RB A52264 2081 26 35 35 CD A52264 2081 27 min min NN A52264 2081 28 . . . A52264 2082 1 past past IN A52264 2082 2 7 7 CD A52264 2082 3 in in IN A52264 2082 4 the the DT A52264 2082 5 morning morning NN A52264 2082 6 , , , A52264 2082 7 and and CC A52264 2082 8 returning return VBG A52264 2082 9 to to IN A52264 2082 10 it -PRON- PRP A52264 2082 11 as as RB A52264 2082 12 much much JJ A52264 2082 13 before before IN A52264 2082 14 5 5 CD A52264 2082 15 at at IN A52264 2082 16 night night NN A52264 2082 17 , , , A52264 2082 18 because because IN A52264 2082 19 then then RB A52264 2082 20 the the DT A52264 2082 21 Sun Sun NNP A52264 2082 22 passeth passeth NN A52264 2082 23 on on IN A52264 2082 24 the the DT A52264 2082 25 North North NNP A52264 2082 26 side side NN A52264 2082 27 of of IN A52264 2082 28 the the DT A52264 2082 29 prime prime JJ A52264 2082 30 vertical vertical NNP A52264 2082 31 , , , A52264 2082 32 in in IN A52264 2082 33 which which WDT A52264 2082 34 this this DT A52264 2082 35 plane plane NN A52264 2082 36 lieth lieth NNP A52264 2082 37 , , , A52264 2082 38 and and CC A52264 2082 39 cometh cometh JJ A52264 2082 40 upon upon IN A52264 2082 41 the the DT A52264 2082 42 South South NNP A52264 2082 43 . . . A52264 2083 1 Now now RB A52264 2083 2 therefore therefore RB A52264 2083 3 to to TO A52264 2083 4 make make VB A52264 2083 5 this this DT A52264 2083 6 Dial Dial NNP A52264 2083 7 , , , A52264 2083 8 is be VBZ A52264 2083 9 but but CC A52264 2083 10 to to TO A52264 2083 11 turn turn VB A52264 2083 12 the the DT A52264 2083 13 South South NNP A52264 2083 14 Dial Dial NNP A52264 2083 15 upside upside RB A52264 2083 16 down down RB A52264 2083 17 , , , A52264 2083 18 and and CC A52264 2083 19 leave leave VB A52264 2083 20 out out RP A52264 2083 21 all all PDT A52264 2083 22 the the DT A52264 2083 23 superfluous superfluous JJ A52264 2083 24 hours hour NNS A52264 2083 25 between between IN A52264 2083 26 5 5 CD A52264 2083 27 and and CC A52264 2083 28 7 7 CD A52264 2083 29 , , , A52264 2083 30 4 4 CD A52264 2083 31 and and CC A52264 2083 32 8 8 CD A52264 2083 33 , , , A52264 2083 34 and and CC A52264 2083 35 the the DT A52264 2083 36 Diall Diall NNP A52264 2083 37 to to IN A52264 2083 38 the the DT A52264 2083 39 North North NNP A52264 2083 40 plane plane NN A52264 2083 41 is be VBZ A52264 2083 42 made make VBN A52264 2083 43 to to IN A52264 2083 44 your -PRON- PRP$ A52264 2083 45 hand hand NN A52264 2083 46 . . . A52264 2084 1 The the DT A52264 2084 2 Geometricall Geometricall NNP A52264 2084 3 projection projection NN A52264 2084 4 . . . A52264 2085 1 To to TO A52264 2085 2 project project VB A52264 2085 3 these these DT A52264 2085 4 and and CC A52264 2085 5 the the DT A52264 2085 6 Horizontal Horizontal NNP A52264 2085 7 Dials Dials NNPS A52264 2085 8 , , , A52264 2085 9 do do VBP A52264 2085 10 thus thus RB A52264 2085 11 : : : A52264 2085 12 First first RB A52264 2085 13 , , , A52264 2085 14 draw draw VB A52264 2085 15 the the DT A52264 2085 16 perpendicular perpendicular JJ A52264 2085 17 line line NN A52264 2085 18 CEB CEB NNP A52264 2085 19 , , , A52264 2085 20 which which WDT A52264 2085 21 is be VBZ A52264 2085 22 the the DT A52264 2085 23 twelve twelve CD A52264 2085 24 of of IN A52264 2085 25 clock clock NN A52264 2085 26 hour hour NN A52264 2085 27 , , , A52264 2085 28 crosse crosse VB A52264 2085 29 it -PRON- PRP A52264 2085 30 at at IN A52264 2085 31 right right JJ A52264 2085 32 angles angle NNS A52264 2085 33 with with IN A52264 2085 34 6C6 6C6 NNP A52264 2085 35 , , , A52264 2085 36 which which WDT A52264 2085 37 is be VBZ A52264 2085 38 the the DT A52264 2085 39 six six CD A52264 2085 40 of of IN A52264 2085 41 clock clock NN A52264 2085 42 hour hour NN A52264 2085 43 ; ; : A52264 2085 44 then then RB A52264 2085 45 take take VB A52264 2085 46 with with IN A52264 2085 47 your -PRON- PRP$ A52264 2085 48 compasses compass NNS A52264 2085 49 60 60 CD A52264 2085 50 deg deg NN A52264 2085 51 . . . A52264 2086 1 from from IN A52264 2086 2 a a DT A52264 2086 3 line line NN A52264 2086 4 of of IN A52264 2086 5 Chords Chords NNPS A52264 2086 6 , , , A52264 2086 7 and and CC A52264 2086 8 making make VBG A52264 2086 9 C c NN A52264 2086 10 the the DT A52264 2086 11 center center NN A52264 2086 12 draw draw VB A52264 2086 13 the the DT A52264 2086 14 circle circle NN A52264 2086 15 6E6 6e6 CD A52264 2086 16 , , , A52264 2086 17 representing represent VBG A52264 2086 18 the the DT A52264 2086 19 azimuth azimuth NN A52264 2086 20 in in IN A52264 2086 21 which which WDT A52264 2086 22 the the DT A52264 2086 23 plane plane NN A52264 2086 24 doth doth NN A52264 2086 25 lie lie NN A52264 2086 26 ; ; : A52264 2086 27 this this DT A52264 2086 28 done do VBN A52264 2086 29 , , , A52264 2086 30 take take VB A52264 2086 31 from from IN A52264 2086 32 the the DT A52264 2086 33 same same JJ A52264 2086 34 Chord Chord NNP A52264 2086 35 all all PDT A52264 2086 36 the the DT A52264 2086 37 hour hour NN A52264 2086 38 distances distance NNS A52264 2086 39 , , , A52264 2086 40 and and CC A52264 2086 41 setting set VBG A52264 2086 42 one one CD A52264 2086 43 foot foot NN A52264 2086 44 of of IN A52264 2086 45 your -PRON- PRP$ A52264 2086 46 compasses compass NNS A52264 2086 47 in in IN A52264 2086 48 E E NNP A52264 2086 49 , , , A52264 2086 50 with with IN A52264 2086 51 the the DT A52264 2086 52 other other JJ A52264 2086 53 mark mark NN A52264 2086 54 out out RP A52264 2086 55 those those DT A52264 2086 56 hour hour NN A52264 2086 57 distances distance NNS A52264 2086 58 before before IN A52264 2086 59 found find VBN A52264 2086 60 by by IN A52264 2086 61 calculation calculation NN A52264 2086 62 , , , A52264 2086 63 both both DT A52264 2086 64 wayes waye NNS A52264 2086 65 upon upon IN A52264 2086 66 the the DT A52264 2086 67 circle circle NN A52264 2086 68 6E6 6e6 CD A52264 2086 69 ; ; , A52264 2086 70 streight streight JJ A52264 2086 71 lines line NNS A52264 2086 72 drawn draw VBN A52264 2086 73 from from IN A52264 2086 74 the the DT A52264 2086 75 center center NN A52264 2086 76 C c NN A52264 2086 77 to to IN A52264 2086 78 those those DT A52264 2086 79 pricks prick NNS A52264 2086 80 in in IN A52264 2086 81 the the DT A52264 2086 82 circle circle NN A52264 2086 83 are be VBP A52264 2086 84 the the DT A52264 2086 85 true true JJ A52264 2086 86 hour hour NN A52264 2086 87 - - HYPH A52264 2086 88 lines line NNS A52264 2086 89 desired desire VBD A52264 2086 90 . . . A52264 2087 1 Having have VBG A52264 2087 2 drawn draw VBN A52264 2087 3 all all PDT A52264 2087 4 the the DT A52264 2087 5 hour hour NN A52264 2087 6 - - HYPH A52264 2087 7 lines line NNS A52264 2087 8 , , , A52264 2087 9 take take VBP A52264 2087 10 from from IN A52264 2087 11 the the DT A52264 2087 12 same same JJ A52264 2087 13 line line NN A52264 2087 14 of of IN A52264 2087 15 Chords Chords NNPS A52264 2087 16 the the DT A52264 2087 17 arch arch NN A52264 2087 18 of of IN A52264 2087 19 your -PRON- PRP$ A52264 2087 20 poles pole NNS A52264 2087 21 elevation elevation NN A52264 2087 22 , , , A52264 2087 23 or or CC A52264 2087 24 stile stile NN A52264 2087 25 above above IN A52264 2087 26 the the DT A52264 2087 27 plane plane NN A52264 2087 28 , , , A52264 2087 29 and and CC A52264 2087 30 place place VB A52264 2087 31 it -PRON- PRP A52264 2087 32 from from IN A52264 2087 33 E e NN A52264 2087 34 to to IN A52264 2087 35 O o NN A52264 2087 36 , , , A52264 2087 37 draw draw VB A52264 2087 38 the the DT A52264 2087 39 prickt prickt NNS A52264 2087 40 line line NN A52264 2087 41 COA coa NN A52264 2087 42 representing represent VBG A52264 2087 43 the the DT A52264 2087 44 axis axi NNS A52264 2087 45 or or CC A52264 2087 46 heighth heighth JJR A52264 2087 47 of of IN A52264 2087 48 the the DT A52264 2087 49 stile stile NN A52264 2087 50 , , , A52264 2087 51 from from IN A52264 2087 52 any any DT A52264 2087 53 part part NN A52264 2087 54 of of IN A52264 2087 55 the the DT A52264 2087 56 meridian meridian NNP A52264 2087 57 draw draw VBP A52264 2087 58 a a DT A52264 2087 59 line line NN A52264 2087 60 parallel parallel JJ A52264 2087 61 to to IN A52264 2087 62 6C6 6c6 CD A52264 2087 63 , , , A52264 2087 64 as as IN A52264 2087 65 is be VBZ A52264 2087 66 BA BA NNP A52264 2087 67 , , , A52264 2087 68 & & CC A52264 2087 69 it -PRON- PRP A52264 2087 70 shall shall MD A52264 2087 71 make make VB A52264 2087 72 a a DT A52264 2087 73 triāgle triāgle NN A52264 2087 74 , , , A52264 2087 75 the the DT A52264 2087 76 fittest fit JJS A52264 2087 77 form form NN A52264 2087 78 to to TO A52264 2087 79 support support VB A52264 2087 80 the the DT A52264 2087 81 stile stile NN A52264 2087 82 at at IN A52264 2087 83 the the DT A52264 2087 84 true true JJ A52264 2087 85 height height NN A52264 2087 86 ; ; : A52264 2087 87 let let VB A52264 2087 88 the the DT A52264 2087 89 line line NN A52264 2087 90 6C6 6c6 CD A52264 2087 91 be be VB A52264 2087 92 horizontal horizontal JJ A52264 2087 93 , , , A52264 2087 94 the the DT A52264 2087 95 triangular triangular JJ A52264 2087 96 stile stile NN A52264 2087 97 CBA CBA NNP A52264 2087 98 erected erect VBD A52264 2087 99 at at IN A52264 2087 100 right right JJ A52264 2087 101 angles angle NNS A52264 2087 102 over over IN A52264 2087 103 the the DT A52264 2087 104 12 12 CD A52264 2087 105 of of IN A52264 2087 106 clock clock NN A52264 2087 107 line line NN A52264 2087 108 , , , A52264 2087 109 and and CC A52264 2087 110 then then RB A52264 2087 111 is be VBZ A52264 2087 112 the the DT A52264 2087 113 Diall Diall NNP A52264 2087 114 perfected perfect VBN A52264 2087 115 either either CC A52264 2087 116 for for IN A52264 2087 117 the the DT A52264 2087 118 Horizontal Horizontal NNP A52264 2087 119 , , , A52264 2087 120 or or CC A52264 2087 121 the the DT A52264 2087 122 direct direct JJ A52264 2087 123 North North NNP A52264 2087 124 and and CC A52264 2087 125 South South NNP A52264 2087 126 planes plane NNS A52264 2087 127 . . . A52264 2088 1 Probl probl VB A52264 2088 2 . . . A52264 2089 1 6 6 CD A52264 2089 2 . . . A52264 2090 1 To to TO A52264 2090 2 draw draw VB A52264 2090 3 the the DT A52264 2090 4 hour hour NN A52264 2090 5 - - HYPH A52264 2090 6 lines line NNS A52264 2090 7 upon upon IN A52264 2090 8 the the DT A52264 2090 9 direct direct JJ A52264 2090 10 East East NNP A52264 2090 11 or or CC A52264 2090 12 West West NNP A52264 2090 13 planes plane NNS A52264 2090 14 . . . A52264 2091 1 AS as IN A52264 2091 2 the the DT A52264 2091 3 planes plane NNS A52264 2091 4 of of IN A52264 2091 5 South South NNP A52264 2091 6 and and CC A52264 2091 7 North North NNP A52264 2091 8 Dials Dials NNPS A52264 2091 9 do do VBP A52264 2091 10 lie lie VB A52264 2091 11 in in IN A52264 2091 12 the the DT A52264 2091 13 Azimuth Azimuth NNP A52264 2091 14 of of IN A52264 2091 15 East East NNP A52264 2091 16 and and CC A52264 2091 17 West West NNP A52264 2091 18 , , , A52264 2091 19 and and CC A52264 2091 20 their -PRON- PRP$ A52264 2091 21 poles pole NNS A52264 2091 22 in in IN A52264 2091 23 the the DT A52264 2091 24 South South NNP A52264 2091 25 and and CC A52264 2091 26 North North NNP A52264 2091 27 parts part NNS A52264 2091 28 of of IN A52264 2091 29 the the DT A52264 2091 30 meridian meridian NN A52264 2091 31 ; ; : A52264 2091 32 so so RB A52264 2091 33 do do VBP A52264 2091 34 the the DT A52264 2091 35 planes plane NNS A52264 2091 36 of of IN A52264 2091 37 East East NNP A52264 2091 38 and and CC A52264 2091 39 West West NNP A52264 2091 40 Dials Dials NNPS A52264 2091 41 lie lie VBP A52264 2091 42 in in IN A52264 2091 43 the the DT A52264 2091 44 South South NNP A52264 2091 45 and and CC A52264 2091 46 North North NNP A52264 2091 47 azimuth azimuth NN A52264 2091 48 , , , A52264 2091 49 and and CC A52264 2091 50 their -PRON- PRP$ A52264 2091 51 poles pole NNS A52264 2091 52 in in IN A52264 2091 53 the the DT A52264 2091 54 East East NNP A52264 2091 55 and and CC A52264 2091 56 West West NNP A52264 2091 57 part part NN A52264 2091 58 of of IN A52264 2091 59 the the DT A52264 2091 60 Horizon Horizon NNP A52264 2091 61 , , , A52264 2091 62 from from IN A52264 2091 63 whence whence NN A52264 2091 64 these these DT A52264 2091 65 Dials Dials NNPS A52264 2091 66 receive receive VBP A52264 2091 67 their -PRON- PRP$ A52264 2091 68 denomination denomination NN A52264 2091 69 , , , A52264 2091 70 and and CC A52264 2091 71 because because IN A52264 2091 72 they -PRON- PRP A52264 2091 73 are be VBP A52264 2091 74 parallel parallel JJ A52264 2091 75 to to IN A52264 2091 76 the the DT A52264 2091 77 meridian meridian JJ A52264 2091 78 line line NN A52264 2091 79 in in IN A52264 2091 80 the the DT A52264 2091 81 fundamental fundamental JJ A52264 2091 82 Scheme Scheme NNP A52264 2091 83 SZN SZN NNP A52264 2091 84 , , , A52264 2091 85 some some DT A52264 2091 86 call call VBP A52264 2091 87 them -PRON- PRP A52264 2091 88 meridian meridian JJ A52264 2091 89 planes plane NNS A52264 2091 90 . . . A52264 2092 1 And and CC A52264 2092 2 because because IN A52264 2092 3 the the DT A52264 2092 4 meridian meridian NN A52264 2092 5 , , , A52264 2092 6 in in IN A52264 2092 7 which which WDT A52264 2092 8 this this DT A52264 2092 9 plane plane NN A52264 2092 10 lieth lieth NNP A52264 2092 11 , , , A52264 2092 12 is be VBZ A52264 2092 13 one one CD A52264 2092 14 of of IN A52264 2092 15 the the DT A52264 2092 16 hour hour NN A52264 2092 17 - - HYPH A52264 2092 18 circles circle NNS A52264 2092 19 , , , A52264 2092 20 and and CC A52264 2092 21 no no DT A52264 2092 22 plane plane NN A52264 2092 23 that that WDT A52264 2092 24 lieth lieth VBP A52264 2092 25 in in IN A52264 2092 26 any any DT A52264 2092 27 of of IN A52264 2092 28 the the DT A52264 2092 29 hour hour NN A52264 2092 30 circles circle NNS A52264 2092 31 can can MD A52264 2092 32 cut cut VB A52264 2092 33 the the DT A52264 2092 34 axis axi NNS A52264 2092 35 of of IN A52264 2092 36 the the DT A52264 2092 37 world world NN A52264 2092 38 , , , A52264 2092 39 but but CC A52264 2092 40 must must MD A52264 2092 41 be be VB A52264 2092 42 parallel parallel JJ A52264 2092 43 thereunto thereunto NNS A52264 2092 44 ; ; : A52264 2092 45 therefore therefore RB A52264 2092 46 the the DT A52264 2092 47 hour hour NN A52264 2092 48 lines line NNS A52264 2092 49 of of IN A52264 2092 50 all all DT A52264 2092 51 such such JJ A52264 2092 52 planes plane NNS A52264 2092 53 are be VBP A52264 2092 54 also also RB A52264 2092 55 parallel parallel JJ A52264 2092 56 each each DT A52264 2092 57 to to IN A52264 2092 58 other other JJ A52264 2092 59 , , , A52264 2092 60 and and CC A52264 2092 61 in in IN A52264 2092 62 the the DT A52264 2092 63 fundamental fundamental JJ A52264 2092 64 Scheme Scheme NNP A52264 2092 65 may may MD A52264 2092 66 be be VB A52264 2092 67 represented represent VBN A52264 2092 68 in in IN A52264 2092 69 this this DT A52264 2092 70 manner manner NN A52264 2092 71 . . . A52264 2093 1 Let let VB A52264 2093 2 NESW NESW NNP A52264 2093 3 in in IN A52264 2093 4 this this DT A52264 2093 5 case case NN A52264 2093 6 be be VB A52264 2093 7 supposed suppose VBN A52264 2093 8 to to TO A52264 2093 9 be be VB A52264 2093 10 the the DT A52264 2093 11 Eq Eq NNP A52264 2093 12 ● ● NNP A52264 2093 13 inoctiall inoctiall NN A52264 2093 14 divided divide VBD A52264 2093 15 into into IN A52264 2093 16 24 24 CD A52264 2093 17 equall equall NN A52264 2093 18 parts part NNS A52264 2093 19 , , , A52264 2093 20 and and CC A52264 2093 21 let let VB A52264 2093 22 the the DT A52264 2093 23 prickt prickt NNS A52264 2093 24 line line NN A52264 2093 25 E E NNP A52264 2093 26 8 8 CD A52264 2093 27 . . . A52264 2094 1 7 7 LS A52264 2094 2 . . . A52264 2094 3 parallel parallel NN A52264 2094 4 to to IN A52264 2094 5 ZS ZS NNP A52264 2094 6 be be VBP A52264 2094 7 a a DT A52264 2094 8 tangent tangent JJ A52264 2094 9 line line NN A52264 2094 10 to to IN A52264 2094 11 that that DT A52264 2094 12 circle circle NN A52264 2094 13 in in IN A52264 2094 14 E E NNP A52264 2094 15 , , , A52264 2094 16 straight straight JJ A52264 2094 17 lines line NNS A52264 2094 18 drawn draw VBN A52264 2094 19 from from IN A52264 2094 20 the the DT A52264 2094 21 center center NN A52264 2094 22 Z z NN A52264 2094 23 thorow thorow VB A52264 2094 24 the the DT A52264 2094 25 equal equal JJ A52264 2094 26 divisions division NNS A52264 2094 27 of of IN A52264 2094 28 the the DT A52264 2094 29 limbe limbe NN A52264 2094 30 , , , A52264 2094 31 intersecting intersect VBG A52264 2094 32 the the DT A52264 2094 33 tangent tangent NN A52264 2094 34 line line NN A52264 2094 35 , , , A52264 2094 36 shall shall MD A52264 2094 37 give give VB A52264 2094 38 points point NNS A52264 2094 39 in in IN A52264 2094 40 4 4 CD A52264 2094 41 , , , A52264 2094 42 5 5 CD A52264 2094 43 , , , A52264 2094 44 6 6 CD A52264 2094 45 , , , A52264 2094 46 7 7 CD A52264 2094 47 , , , A52264 2094 48 8 8 CD A52264 2094 49 , , , A52264 2094 50 9 9 CD A52264 2094 51 , , , A52264 2094 52 10 10 CD A52264 2094 53 , , , A52264 2094 54 11 11 CD A52264 2094 55 , , , A52264 2094 56 thorow thorow VB A52264 2094 57 which which WDT A52264 2094 58 parallels parallel NNS A52264 2094 59 being be VBG A52264 2094 60 drawn draw VBN A52264 2094 61 to to IN A52264 2094 62 the the DT A52264 2094 63 prime prime JJ A52264 2094 64 vertical vertical JJ A52264 2094 65 , , , A52264 2094 66 or or CC A52264 2094 67 6 6 CD A52264 2094 68 of of IN A52264 2094 69 clock clock NN A52264 2094 70 hour hour NN A52264 2094 71 line line NN A52264 2094 72 EZW EZW NNP A52264 2094 73 , , , A52264 2094 74 you -PRON- PRP A52264 2094 75 have have VBP A52264 2094 76 the the DT A52264 2094 77 hour hour NN A52264 2094 78 - - HYPH A52264 2094 79 lines line NNS A52264 2094 80 desired desire VBD A52264 2094 81 , , , A52264 2094 82 which which WDT A52264 2094 83 may may MD A52264 2094 84 for for IN A52264 2094 85 more more JJR A52264 2094 86 certainties certainty NNS A52264 2094 87 sake sake VBP A52264 2094 88 be be VB A52264 2094 89 found find VBN A52264 2094 90 by by IN A52264 2094 91 tangents tangent NNS A52264 2094 92 also also RB A52264 2094 93 ; ; : A52264 2094 94 for for IN A52264 2094 95 making make VBG A52264 2094 96 ZE ze NN A52264 2094 97 of of IN A52264 2094 98 the the DT A52264 2094 99 former former JJ A52264 2094 100 Scheme Scheme NNP A52264 2094 101 to to TO A52264 2094 102 be be VB A52264 2094 103 the the DT A52264 2094 104 Radius Radius NNP A52264 2094 105 , , , A52264 2094 106 and and CC A52264 2094 107 E e NN A52264 2094 108 8 8 CD A52264 2094 109 . . . A52264 2095 1 7 7 LS A52264 2095 2 . . . A52264 2095 3 a a DT A52264 2095 4 tangent tangent NN A52264 2095 5 line line NN A52264 2095 6 , , , A52264 2095 7 as as IN A52264 2095 8 before before RB A52264 2095 9 ; ; : A52264 2095 10 then then RB A52264 2095 11 shall shall MD A52264 2095 12 the the DT A52264 2095 13 naturall naturall JJ A52264 2095 14 tangent tangent NN A52264 2095 15 of of IN A52264 2095 16 15 15 CD A52264 2095 17 degr degr NN A52264 2095 18 . . . A52264 2096 1 268 268 CD A52264 2096 2 taken take VBN A52264 2096 3 from from IN A52264 2096 4 a a DT A52264 2096 5 diagonal diagonal JJ A52264 2096 6 scale scale NN A52264 2096 7 equal equal JJ A52264 2096 8 to to IN A52264 2096 9 the the DT A52264 2096 10 Radius Radius NNP A52264 2096 11 , , , A52264 2096 12 and and CC A52264 2096 13 set set VBD A52264 2096 14 both both DT A52264 2096 15 wayes waye NNS A52264 2096 16 from from IN A52264 2096 17 E e NN A52264 2096 18 upon upon IN A52264 2096 19 the the DT A52264 2096 20 tangent tangent NN A52264 2096 21 line line NN A52264 2096 22 E e NN A52264 2096 23 8 8 CD A52264 2096 24 . . . A52264 2097 1 7 7 LS A52264 2097 2 . . . A52264 2097 3 gives give VBZ A52264 2097 4 the the DT A52264 2097 5 distance distance NN A52264 2097 6 of of IN A52264 2097 7 the the DT A52264 2097 8 houres houre NNS A52264 2097 9 of of IN A52264 2097 10 5 5 CD A52264 2097 11 and and CC A52264 2097 12 7 7 CD A52264 2097 13 , , , A52264 2097 14 the the DT A52264 2097 15 tangent tangent NN A52264 2097 16 of of IN A52264 2097 17 30 30 CD A52264 2097 18 degr degr NN A52264 2097 19 . . . A52264 2098 1 the the DT A52264 2098 2 distance distance NN A52264 2098 3 of of IN A52264 2098 4 the the DT A52264 2098 5 hours hour NNS A52264 2098 6 of of IN A52264 2098 7 4 4 CD A52264 2098 8 and and CC A52264 2098 9 8 8 CD A52264 2098 10 , , , A52264 2098 11 and and CC A52264 2098 12 the the DT A52264 2098 13 tangent tangent NN A52264 2098 14 of of IN A52264 2098 15 45 45 CD A52264 2098 16 degr degr NN A52264 2098 17 . . . A52264 2099 1 the the DT A52264 2099 2 distance distance NN A52264 2099 3 of of IN A52264 2099 4 the the DT A52264 2099 5 hours hour NNS A52264 2099 6 of of IN A52264 2099 7 3 3 CD A52264 2099 8 and and CC A52264 2099 9 9 9 CD A52264 2099 10 , , , A52264 2099 11 & & CC A52264 2099 12 c. c. NNP A52264 2099 13 from from IN A52264 2099 14 the the DT A52264 2099 15 six six CD A52264 2099 16 of of IN A52264 2099 17 clock clock NN A52264 2099 18 hour hour NN A52264 2099 19 , , , A52264 2099 20 as as IN A52264 2099 21 before before RB A52264 2099 22 ; ; : A52264 2099 23 and and CC A52264 2099 24 is be VBZ A52264 2099 25 a a DT A52264 2099 26 general general JJ A52264 2099 27 rule rule NN A52264 2099 28 for for IN A52264 2099 29 all all DT A52264 2099 30 Latitudes Latitudes NNPS A52264 2099 31 whatsoever whatsoever RB A52264 2099 32 . . . A52264 2100 1 The the DT A52264 2100 2 Geometricall Geometricall NNP A52264 2100 3 projection projection NN A52264 2100 4 . . . A52264 2101 1 The the DT A52264 2101 2 length length NN A52264 2101 3 of of IN A52264 2101 4 the the DT A52264 2101 5 stile stile NN A52264 2101 6 being be VBG A52264 2101 7 thus thus RB A52264 2101 8 proportioned proportion VBN A52264 2101 9 to to IN A52264 2101 10 the the DT A52264 2101 11 plain plain NN A52264 2101 12 , , , A52264 2101 13 make make VB A52264 2101 14 that that IN A52264 2101 15 the the DT A52264 2101 16 Radius Radius NNP A52264 2101 17 of of IN A52264 2101 18 a a DT A52264 2101 19 Circle Circle NNP A52264 2101 20 , , , A52264 2101 21 and and CC A52264 2101 22 then then RB A52264 2101 23 the the DT A52264 2101 24 Equator Equator NNP A52264 2101 25 DAE DAE NNP A52264 2101 26 shall shall MD A52264 2101 27 be be VB A52264 2101 28 a a DT A52264 2101 29 Tangent Tangent NNP A52264 2101 30 line line NN A52264 2101 31 thereunto thereunto NNS A52264 2101 32 , , , A52264 2101 33 and and CC A52264 2101 34 therefore therefore RB A52264 2101 35 , , , A52264 2101 36 the the DT A52264 2101 37 naturall naturall JJ A52264 2101 38 Tangent Tangent NNP A52264 2101 39 of of IN A52264 2101 40 15 15 CD A52264 2101 41 deg deg NN A52264 2101 42 . . . A52264 2102 1 being be VBG A52264 2102 2 set set VBN A52264 2102 3 upon upon IN A52264 2102 4 the the DT A52264 2102 5 Equinoctiall Equinoctiall NNP A52264 2102 6 DAE DAE NNP A52264 2102 7 both both DT A52264 2102 8 wayes waye NNS A52264 2102 9 from from IN A52264 2102 10 A A NNP A52264 2102 11 , , , A52264 2102 12 shall shall MD A52264 2102 13 give give VB A52264 2102 14 the the DT A52264 2102 15 points point NNS A52264 2102 16 of of IN A52264 2102 17 5 5 CD A52264 2102 18 and and CC A52264 2102 19 7 7 CD A52264 2102 20 : : : A52264 2102 21 the the DT A52264 2102 22 Tangent Tangent NNP A52264 2102 23 of of IN A52264 2102 24 30 30 CD A52264 2102 25 deg deg NN A52264 2102 26 . . . A52264 2103 1 the the DT A52264 2103 2 points point NNS A52264 2103 3 of of IN A52264 2103 4 8 8 CD A52264 2103 5 and and CC A52264 2103 6 4 4 CD A52264 2103 7 , , , A52264 2103 8 & & CC A52264 2103 9 c. c. NNP A52264 2103 10 through through IN A52264 2103 11 which which WDT A52264 2103 12 streight streight NN A52264 2103 13 lines line NNS A52264 2103 14 being be VBG A52264 2103 15 drawn draw VBN A52264 2103 16 parallel parallel JJ A52264 2103 17 to to IN A52264 2103 18 the the DT A52264 2103 19 six six CD A52264 2103 20 a a DT A52264 2103 21 clock clock NN A52264 2103 22 houre houre NN A52264 2103 23 , , , A52264 2103 24 you -PRON- PRP A52264 2103 25 have have VBP A52264 2103 26 at at IN A52264 2103 27 one one CD A52264 2103 28 work work NN A52264 2103 29 made make VBD A52264 2103 30 both both DT A52264 2103 31 the the DT A52264 2103 32 East East NNP A52264 2103 33 and and CC A52264 2103 34 West West NNP A52264 2103 35 Dials Dials NNPS A52264 2103 36 , , , A52264 2103 37 only only RB A52264 2103 38 remember remember VBP A52264 2103 39 that that IN A52264 2103 40 because because IN A52264 2103 41 the the DT A52264 2103 42 Sun Sun NNP A52264 2103 43 riseth riseth NN A52264 2103 44 before before IN A52264 2103 45 4 4 CD A52264 2103 46 in in IN A52264 2103 47 Cancer Cancer NNP A52264 2103 48 , , , A52264 2103 49 and and CC A52264 2103 50 setteth setteth VB A52264 2103 51 after after IN A52264 2103 52 8 8 CD A52264 2103 53 , , , A52264 2103 54 you -PRON- PRP A52264 2103 55 must must MD A52264 2103 56 adde adde VB A52264 2103 57 two two CD A52264 2103 58 houres houre NNS A52264 2103 59 before before IN A52264 2103 60 six six CD A52264 2103 61 in in IN A52264 2103 62 the the DT A52264 2103 63 East East NNP A52264 2103 64 Diall Diall NNP A52264 2103 65 , , , A52264 2103 66 and and CC A52264 2103 67 two two CD A52264 2103 68 houres houre NNS A52264 2103 69 after after IN A52264 2103 70 six six CD A52264 2103 71 in in IN A52264 2103 72 the the DT A52264 2103 73 West West NNP A52264 2103 74 , , , A52264 2103 75 that that IN A52264 2103 76 so so RB A52264 2103 77 the the DT A52264 2103 78 plain plain NN A52264 2103 79 may may MD A52264 2103 80 have have VB A52264 2103 81 as as RB A52264 2103 82 many many JJ A52264 2103 83 houres houre NNS A52264 2103 84 as as IN A52264 2103 85 it -PRON- PRP A52264 2103 86 is be VBZ A52264 2103 87 capable capable JJ A52264 2103 88 of of IN A52264 2103 89 . . . A52264 2104 1 The the DT A52264 2104 2 West West NNP A52264 2104 3 Dial Dial NNP A52264 2104 4 is be VBZ A52264 2104 5 the the DT A52264 2104 6 same same JJ A52264 2104 7 in in IN A52264 2104 8 all all DT A52264 2104 9 respect respect NN A52264 2104 10 with with IN A52264 2104 11 the the DT A52264 2104 12 East East NNP A52264 2104 13 , , , A52264 2104 14 only only RB A52264 2104 15 the the DT A52264 2104 16 arch arch JJ A52264 2104 17 BD BD NNP A52264 2104 18 , , , A52264 2104 19 or or CC A52264 2104 20 the the DT A52264 2104 21 height height NN A52264 2104 22 of of IN A52264 2104 23 the the DT A52264 2104 24 Equator Equator NNP A52264 2104 25 , , , A52264 2104 26 must must MD A52264 2104 27 be be VB A52264 2104 28 drawn draw VBN A52264 2104 29 on on IN A52264 2104 30 the the DT A52264 2104 31 right right JJ A52264 2104 32 hand hand NN A52264 2104 33 of of IN A52264 2104 34 the the DT A52264 2104 35 center center NN A52264 2104 36 A A NNP A52264 2104 37 for for IN A52264 2104 38 the the DT A52264 2104 39 West West NNP A52264 2104 40 Dial Dial NNP A52264 2104 41 , , , A52264 2104 42 and and CC A52264 2104 43 on on IN A52264 2104 44 the the DT A52264 2104 45 left left NN A52264 2104 46 for for IN A52264 2104 47 the the DT A52264 2104 48 East East NNP A52264 2104 49 , , , A52264 2104 50 that that IN A52264 2104 51 so so RB A52264 2104 52 the the DT A52264 2104 53 houre houre NN A52264 2104 54 lines line NNS A52264 2104 55 crossing cross VBG A52264 2104 56 it -PRON- PRP A52264 2104 57 at at IN A52264 2104 58 right right JJ A52264 2104 59 angles angle NNS A52264 2104 60 , , , A52264 2104 61 may may MD A52264 2104 62 respect respect VB A52264 2104 63 the the DT A52264 2104 64 Poles Poles NNPS A52264 2104 65 of of IN A52264 2104 66 the the DT A52264 2104 67 world world NN A52264 2104 68 to to TO A52264 2104 69 which which WDT A52264 2104 70 they -PRON- PRP A52264 2104 71 are be VBP A52264 2104 72 parallel parallel JJ A52264 2104 73 . . . A52264 2105 1 Probl probl VB A52264 2105 2 . . . A52264 2106 1 7 7 LS A52264 2106 2 . . . A52264 2107 1 To to TO A52264 2107 2 draw draw VB A52264 2107 3 the the DT A52264 2107 4 houre houre NN A52264 2107 5 - - HYPH A52264 2107 6 lines line NNS A52264 2107 7 upon upon IN A52264 2107 8 a a DT A52264 2107 9 South South NNP A52264 2107 10 or or CC A52264 2107 11 North North NNP A52264 2107 12 erect erect NN A52264 2107 13 plain plain JJ A52264 2107 14 declining decline VBG A52264 2107 15 East East NNP A52264 2107 16 or or CC A52264 2107 17 West West NNP A52264 2107 18 , , , A52264 2107 19 to to IN A52264 2107 20 any any DT A52264 2107 21 declination declination NN A52264 2107 22 given give VBN A52264 2107 23 . . . A52264 2108 1 EVery every DT A52264 2108 2 erect erect NN A52264 2108 3 plain plain JJ A52264 2108 4 lieth lieth NNP A52264 2108 5 under under IN A52264 2108 6 some some DT A52264 2108 7 Azimuth Azimuth NNP A52264 2108 8 or or CC A52264 2108 9 other other JJ A52264 2108 10 , , , A52264 2108 11 and and CC A52264 2108 12 those those DT A52264 2108 13 only only RB A52264 2108 14 are be VBP A52264 2108 15 said say VBN A52264 2108 16 to to TO A52264 2108 17 decline decline VB A52264 2108 18 which which WDT A52264 2108 19 differ differ VBP A52264 2108 20 from from IN A52264 2108 21 the the DT A52264 2108 22 Meridian meridian JJ A52264 2108 23 and and CC A52264 2108 24 Prime Prime NNP A52264 2108 25 Vertical Vertical NNP A52264 2108 26 . . . A52264 2109 1 The the DT A52264 2109 2 declination declination NN A52264 2109 3 therefore therefore RB A52264 2109 4 being be VBG A52264 2109 5 attained attain VBN A52264 2109 6 by by IN A52264 2109 7 the the DT A52264 2109 8 rules rule NNS A52264 2109 9 already already RB A52264 2109 10 given give VBN A52264 2109 11 , , , A52264 2109 12 ( ( -LRB- A52264 2109 13 or or CC A52264 2109 14 by by IN A52264 2109 15 what what WDT A52264 2109 16 other other JJ A52264 2109 17 means mean VBZ A52264 2109 18 you -PRON- PRP A52264 2109 19 like like UH A52264 2109 20 best well RBS A52264 2109 21 ) ) -RRB- A52264 2109 22 we -PRON- PRP A52264 2109 23 come come VBP A52264 2109 24 to to IN A52264 2109 25 the the DT A52264 2109 26 calculation calculation NN A52264 2109 27 of of IN A52264 2109 28 the the DT A52264 2109 29 Diall Diall NNP A52264 2109 30 it -PRON- PRP A52264 2109 31 selfe selfe NN A52264 2109 32 , , , A52264 2109 33 represented represent VBN A52264 2109 34 in in IN A52264 2109 35 the the DT A52264 2109 36 fundamentall fundamentall NN A52264 2109 37 Scheme Scheme NNP A52264 2109 38 by by IN A52264 2109 39 the the DT A52264 2109 40 right right JJ A52264 2109 41 line line NN A52264 2109 42 GZD GZD NNP A52264 2109 43 , , , A52264 2109 44 the the DT A52264 2109 45 Poles Poles NNPS A52264 2109 46 whereof whereof NN A52264 2109 47 are be VBP A52264 2109 48 C C NNP A52264 2109 49 and and CC A52264 2109 50 V v NN A52264 2109 51 , , , A52264 2109 52 the the DT A52264 2109 53 declination declination NN A52264 2109 54 from from IN A52264 2109 55 the the DT A52264 2109 56 South South NNP A52264 2109 57 Easterly Easterly NNP A52264 2109 58 NC NC NNP A52264 2109 59 , , , A52264 2109 60 or or CC A52264 2109 61 North North NNP A52264 2109 62 Westerly Westerly NNP A52264 2109 63 SV SV NNP A52264 2109 64 , , , A52264 2109 65 25 25 CD A52264 2109 66 deg deg NN A52264 2109 67 . . . A52264 2110 1 supposing suppose VBG A52264 2110 2 now now RB A52264 2110 3 S S NNP A52264 2110 4 to to TO A52264 2110 5 be be VB A52264 2110 6 North North NNP A52264 2110 7 , , , A52264 2110 8 and and CC A52264 2110 9 N N NNP A52264 2110 10 South South NNP A52264 2110 11 ; ; : A52264 2110 12 W W NNP A52264 2110 13 East East NNP A52264 2110 14 , , , A52264 2110 15 and and CC A52264 2110 16 E e VB A52264 2110 17 the the DT A52264 2110 18 West West NNP A52264 2110 19 point point NN A52264 2110 20 , , , A52264 2110 21 the the DT A52264 2110 22 houre houre NN A52264 2110 23 circles circle VBZ A52264 2110 24 proper proper JJ A52264 2110 25 to to IN A52264 2110 26 this this DT A52264 2110 27 plain plain NN A52264 2110 28 are be VBP A52264 2110 29 the the DT A52264 2110 30 black black JJ A52264 2110 31 lines line NNS A52264 2110 32 passing pass VBG A52264 2110 33 through through IN A52264 2110 34 the the DT A52264 2110 35 Pole Pole NNP A52264 2110 36 P P NNP A52264 2110 37 , , , A52264 2110 38 and and CC A52264 2110 39 crossing crossing NN A52264 2110 40 upon upon IN A52264 2110 41 the the DT A52264 2110 42 plain plain JJ A52264 2110 43 GZD GZD NNP A52264 2110 44 , , , A52264 2110 45 wherein wherein WRB A52264 2110 46 note note VBP A52264 2110 47 generally generally RB A52264 2110 48 that that IN A52264 2110 49 where where WRB A52264 2110 50 they -PRON- PRP A52264 2110 51 run run VBP A52264 2110 52 neerest neerest RB A52264 2110 53 together together RB A52264 2110 54 , , , A52264 2110 55 thereabouts thereabout NNS A52264 2110 56 must must MD A52264 2110 57 the the DT A52264 2110 58 sub sub JJ A52264 2110 59 - - JJ A52264 2110 60 stile stile JJ A52264 2110 61 stand stand NN A52264 2110 62 , , , A52264 2110 63 and and CC A52264 2110 64 alwayes alwaye NNS A52264 2110 65 on on IN A52264 2110 66 the the DT A52264 2110 67 contrary contrary JJ A52264 2110 68 side side NN A52264 2110 69 to to IN A52264 2110 70 the the DT A52264 2110 71 declination declination NN A52264 2110 72 , , , A52264 2110 73 as as IN A52264 2110 74 in in IN A52264 2110 75 this this DT A52264 2110 76 example example NN A52264 2110 77 declining decline VBG A52264 2110 78 East East NNP A52264 2110 79 , , , A52264 2110 80 the the DT A52264 2110 81 stile stile NN A52264 2110 82 must must MD A52264 2110 83 stand stand VB A52264 2110 84 on on IN A52264 2110 85 the the DT A52264 2110 86 West West NNP A52264 2110 87 side side NN A52264 2110 88 ( ( -LRB- A52264 2110 89 supposing suppose VBG A52264 2110 90 P p NN A52264 2110 91 to to TO A52264 2110 92 be be VB A52264 2110 93 the the DT A52264 2110 94 South South NNP A52264 2110 95 Pole Pole NNP A52264 2110 96 ) ) -RRB- A52264 2110 97 between between IN A52264 2110 98 Z z NN A52264 2110 99 and and CC A52264 2110 100 D d NN A52264 2110 101 , , , A52264 2110 102 the the DT A52264 2110 103 reason reason NN A52264 2110 104 whereof whereof NNP A52264 2110 105 doth doth NN A52264 2110 106 manifestly manifestly RB A52264 2110 107 appear appear VBP A52264 2110 108 ; ; : A52264 2110 109 because because IN A52264 2110 110 the the DT A52264 2110 111 Sun Sun NNP A52264 2110 112 rising rise VBG A52264 2110 113 East East NNP A52264 2110 114 , , , A52264 2110 115 sendeth sendeth VB A52264 2110 116 the the DT A52264 2110 117 shadow shadow NN A52264 2110 118 of of IN A52264 2110 119 the the DT A52264 2110 120 Axis Axis NNP A52264 2110 121 West West NNP A52264 2110 122 , , , A52264 2110 123 and and CC A52264 2110 124 alwayes alwaye NNS A52264 2110 125 to to IN A52264 2110 126 the the DT A52264 2110 127 opposite opposite JJ A52264 2110 128 part part NN A52264 2110 129 of of IN A52264 2110 130 the the DT A52264 2110 131 Meridian Meridian NNP A52264 2110 132 wherein wherein WRB A52264 2110 133 he -PRON- PRP A52264 2110 134 is be VBZ A52264 2110 135 , , , A52264 2110 136 wherefore wherefore VBD A52264 2110 137 reason reason NN A52264 2110 138 enforceth enforceth NNP A52264 2110 139 , , , A52264 2110 140 that that IN A52264 2110 141 the the DT A52264 2110 142 morning morning NN A52264 2110 143 houres houre NNS A52264 2110 144 be be VB A52264 2110 145 put put VBN A52264 2110 146 on on IN A52264 2110 147 the the DT A52264 2110 148 West West NNP A52264 2110 149 side side NN A52264 2110 150 of of IN A52264 2110 151 the the DT A52264 2110 152 Meridian Meridian NNP A52264 2110 153 , , , A52264 2110 154 as as IN A52264 2110 155 the the DT A52264 2110 156 evening evening NN A52264 2110 157 houres houre NNS A52264 2110 158 are be VBP A52264 2110 159 on on IN A52264 2110 160 the the DT A52264 2110 161 East East NNP A52264 2110 162 , , , A52264 2110 163 and and CC A52264 2110 164 from from IN A52264 2110 165 the the DT A52264 2110 166 same same JJ A52264 2110 167 ground ground NN A52264 2110 168 that that IN A52264 2110 169 the the DT A52264 2110 170 substile substile NN A52264 2110 171 of of IN A52264 2110 172 every every DT A52264 2110 173 plain plain NN A52264 2110 174 representing represent VBG A52264 2110 175 the the DT A52264 2110 176 Meridian Meridian NNP A52264 2110 177 thereof thereof RB A52264 2110 178 , , , A52264 2110 179 must must MD A52264 2110 180 alwayes alwayes NNP A52264 2110 181 stand stand VB A52264 2110 182 on on IN A52264 2110 183 the the DT A52264 2110 184 contrary contrary JJ A52264 2110 185 side side NN A52264 2110 186 to to IN A52264 2110 187 the the DT A52264 2110 188 declination declination NN A52264 2110 189 of of IN A52264 2110 190 the the DT A52264 2110 191 plain plain NN A52264 2110 192 and and CC A52264 2110 193 that that IN A52264 2110 194 the the DT A52264 2110 195 houre houre NN A52264 2110 196 - - HYPH A52264 2110 197 lines line NNS A52264 2110 198 must must MD A52264 2110 199 there there RB A52264 2110 200 run run VB A52264 2110 201 neerest neerest RB A52264 2110 202 together together RB A52264 2110 203 , , , A52264 2110 204 because because IN A52264 2110 205 the the DT A52264 2110 206 Sun Sun NNP A52264 2110 207 in in IN A52264 2110 208 that that DT A52264 2110 209 position position NN A52264 2110 210 is be VBZ A52264 2110 211 at at IN A52264 2110 212 right right JJ A52264 2110 213 angles angle NNS A52264 2110 214 with with IN A52264 2110 215 the the DT A52264 2110 216 plain plain NN A52264 2110 217 . . . A52264 2111 1 For for IN A52264 2111 2 the the DT A52264 2111 3 making making NN A52264 2111 4 of of IN A52264 2111 5 this this DT A52264 2111 6 Diall Diall NNP A52264 2111 7 three three CD A52264 2111 8 things thing NNS A52264 2111 9 must must MD A52264 2111 10 be be VB A52264 2111 11 found find VBN A52264 2111 12 . . . A52264 2112 1 1 1 LS A52264 2112 2 . . . A52264 2113 1 The the DT A52264 2113 2 elevation elevation NN A52264 2113 3 of of IN A52264 2113 4 the the DT A52264 2113 5 Pole Pole NNP A52264 2113 6 above above IN A52264 2113 7 the the DT A52264 2113 8 plain plain NN A52264 2113 9 , , , A52264 2113 10 represented represent VBN A52264 2113 11 by by IN A52264 2113 12 PR PR NNP A52264 2113 13 , , , A52264 2113 14 which which WDT A52264 2113 15 is be VBZ A52264 2113 16 the the DT A52264 2113 17 height height NN A52264 2113 18 of of IN A52264 2113 19 the the DT A52264 2113 20 stile stile NN A52264 2113 21 , , , A52264 2113 22 and and CC A52264 2113 23 is be VBZ A52264 2113 24 an an DT A52264 2113 25 arch arch NN A52264 2113 26 of of IN A52264 2113 27 the the DT A52264 2113 28 Meridian Meridian NNP A52264 2113 29 of of IN A52264 2113 30 the the DT A52264 2113 31 plain plain NN A52264 2113 32 , , , A52264 2113 33 between between IN A52264 2113 34 the the DT A52264 2113 35 Pole Pole NNP A52264 2113 36 of of IN A52264 2113 37 the the DT A52264 2113 38 world world NN A52264 2113 39 and and CC A52264 2113 40 the the DT A52264 2113 41 plain plain JJ A52264 2113 42 . . . A52264 2114 1 2 2 LS A52264 2114 2 . . . A52264 2115 1 The the DT A52264 2115 2 distance distance NN A52264 2115 3 of of IN A52264 2115 4 the the DT A52264 2115 5 substile substile NN A52264 2115 6 from from IN A52264 2115 7 the the DT A52264 2115 8 Meridian Meridian NNP A52264 2115 9 , , , A52264 2115 10 represented represent VBN A52264 2115 11 by by IN A52264 2115 12 ZR ZR NNP A52264 2115 13 , , , A52264 2115 14 and and CC A52264 2115 15 is be VBZ A52264 2115 16 an an DT A52264 2115 17 arch arch NN A52264 2115 18 of of IN A52264 2115 19 the the DT A52264 2115 20 plain plain NN A52264 2115 21 between between IN A52264 2115 22 the the DT A52264 2115 23 Meridian Meridian NNP A52264 2115 24 and and CC A52264 2115 25 the the DT A52264 2115 26 substile substile NN A52264 2115 27 . . . A52264 2116 1 3 3 LS A52264 2116 2 . . . A52264 2117 1 The the DT A52264 2117 2 angle angle NN A52264 2117 3 ZPR ZPR NNP A52264 2117 4 , , , A52264 2117 5 which which WDT A52264 2117 6 is be VBZ A52264 2117 7 an an DT A52264 2117 8 arch arch NN A52264 2117 9 between between IN A52264 2117 10 the the DT A52264 2117 11 substile substile NN A52264 2117 12 PR PR NNP A52264 2117 13 the the DT A52264 2117 14 meridian meridian NN A52264 2117 15 of of IN A52264 2117 16 the the DT A52264 2117 17 plain plain JJ A52264 2117 18 , , , A52264 2117 19 and and CC A52264 2117 20 the the DT A52264 2117 21 line line NN A52264 2117 22 PZ PZ NNP A52264 2117 23 the the DT A52264 2117 24 meridian meridian NN A52264 2117 25 of of IN A52264 2117 26 the the DT A52264 2117 27 place place NN A52264 2117 28 , , , A52264 2117 29 and and CC A52264 2117 30 these these DT A52264 2117 31 are be VBP A52264 2117 32 thus thus RB A52264 2117 33 found find VBN A52264 2117 34 . . . A52264 2118 1 Because because IN A52264 2118 2 the the DT A52264 2118 3 substile substile NN A52264 2118 4 is be VBZ A52264 2118 5 the the DT A52264 2118 6 Meridian Meridian NNP A52264 2118 7 of of IN A52264 2118 8 the the DT A52264 2118 9 plain plain NN A52264 2118 10 , , , A52264 2118 11 it -PRON- PRP A52264 2118 12 must must MD A52264 2118 13 be be VB A52264 2118 14 part part NN A52264 2118 15 of of IN A52264 2118 16 a a DT A52264 2118 17 great great JJ A52264 2118 18 circle circle NN A52264 2118 19 passing pass VBG A52264 2118 20 through through IN A52264 2118 21 the the DT A52264 2118 22 pole pole NN A52264 2118 23 of of IN A52264 2118 24 the the DT A52264 2118 25 world world NN A52264 2118 26 , , , A52264 2118 27 and and CC A52264 2118 28 crossing cross VBG A52264 2118 29 the the DT A52264 2118 30 plain plain NN A52264 2118 31 at at IN A52264 2118 32 right right JJ A52264 2118 33 angles angle NNS A52264 2118 34 , , , A52264 2118 35 therefore therefore RB A52264 2118 36 in in IN A52264 2118 37 the the DT A52264 2118 38 supposed suppose VBN A52264 2118 39 right right RB A52264 2118 40 angled angle VBN A52264 2118 41 triangle triangle NN A52264 2118 42 PRZ PRZ NNP A52264 2118 43 , , , A52264 2118 44 ( ( -LRB- A52264 2118 45 for for IN A52264 2118 46 yet yet RB A52264 2118 47 the the DT A52264 2118 48 place place NN A52264 2118 49 of of IN A52264 2118 50 R r NN A52264 2118 51 is be VBZ A52264 2118 52 not not RB A52264 2118 53 found find VBN A52264 2118 54 ) ) -RRB- A52264 2118 55 you -PRON- PRP A52264 2118 56 have have VBP A52264 2118 57 given give VBN A52264 2118 58 the the DT A52264 2118 59 base base NN A52264 2118 60 PZ PZ NNP A52264 2118 61 38 38 CD A52264 2118 62 deg deg NN A52264 2118 63 . . . A52264 2119 1 47 47 CD A52264 2119 2 min min NN A52264 2119 3 . . . A52264 2120 1 and and CC A52264 2120 2 the the DT A52264 2120 3 angle angle NN A52264 2120 4 PZR PZR NNP A52264 2120 5 the the DT A52264 2120 6 complement complement NN A52264 2120 7 of of IN A52264 2120 8 the the DT A52264 2120 9 declination declination NN A52264 2120 10 65 65 CD A52264 2120 11 deg deg NN A52264 2120 12 . . . A52264 2121 1 and and CC A52264 2121 2 the the DT A52264 2121 3 supposed suppose VBN A52264 2121 4 right right JJ A52264 2121 5 angle angle NN A52264 2121 6 at at IN A52264 2121 7 R r NN A52264 2121 8 , , , A52264 2121 9 to to TO A52264 2121 10 finde finde VB A52264 2121 11 the the DT A52264 2121 12 side side NN A52264 2121 13 PR PR NNP A52264 2121 14 , , , A52264 2121 15 which which WDT A52264 2121 16 is be VBZ A52264 2121 17 the the DT A52264 2121 18 height height NN A52264 2121 19 of of IN A52264 2121 20 the the DT A52264 2121 21 stile stile NN A52264 2121 22 as as IN A52264 2121 23 aforesaid aforesaid JJ A52264 2121 24 , , , A52264 2121 25 but but CC A52264 2121 26 as as IN A52264 2121 27 yet yet RB A52264 2121 28 the the DT A52264 2121 29 place place NN A52264 2121 30 unknown unknown JJ A52264 2121 31 : : : A52264 2121 32 wherefore wherefore NN A52264 2121 33 by by IN A52264 2121 34 the the DT A52264 2121 35 8 8 CD A52264 2121 36 Case case NN A52264 2121 37 of of IN A52264 2121 38 right right RB A52264 2121 39 angled angle VBN A52264 2121 40 Spherical Spherical NNP A52264 2121 41 Triangles Triangles NNPS A52264 2121 42 the the DT A52264 2121 43 analogie analogie NN A52264 2121 44 is be VBZ A52264 2121 45 , , , A52264 2121 46 As as IN A52264 2121 47 the the DT A52264 2121 48 Radius Radius NNP A52264 2121 49 , , , A52264 2121 50 10.00000 10.00000 CD A52264 2121 51 To to IN A52264 2121 52 the the DT A52264 2121 53 sine sine NN A52264 2121 54 of of IN A52264 2121 55 PZ PZ NNP A52264 2121 56 , , , A52264 2121 57 38.47 38.47 CD A52264 2121 58 9.793863 9.793863 CD A52264 2121 59 So so IN A52264 2121 60 the the DT A52264 2121 61 sine sine NN A52264 2121 62 of of IN A52264 2121 63 PZR PZR NNP A52264 2121 64 , , , A52264 2121 65 65 65 CD A52264 2121 66 9.957275 9.957275 CD A52264 2121 67 To to IN A52264 2121 68 the the DT A52264 2121 69 sine sine NN A52264 2121 70 of of IN A52264 2121 71 PR PR NNP A52264 2121 72 , , , A52264 2121 73 34.32 34.32 CD A52264 2121 74 9.751138 9.751138 CD A52264 2121 75 Secondly secondly RB A52264 2121 76 , , , A52264 2121 77 you -PRON- PRP A52264 2121 78 may may MD A52264 2121 79 finde finde VB A52264 2121 80 ZR ZR NNP A52264 2121 81 the the DT A52264 2121 82 distance distance NN A52264 2121 83 of of IN A52264 2121 84 the the DT A52264 2121 85 substile substile NN A52264 2121 86 from from IN A52264 2121 87 the the DT A52264 2121 88 meridian meridian NN A52264 2121 89 , , , A52264 2121 90 by by IN A52264 2121 91 the the DT A52264 2121 92 7 7 CD A52264 2121 93 case case NN A52264 2121 94 of of IN A52264 2121 95 right right JJ A52264 2121 96 angled angle VBN A52264 2121 97 Spherical Spherical NNP A52264 2121 98 Triangles Triangles NNPS A52264 2121 99 . . . A52264 2122 1 As as IN A52264 2122 2 the the DT A52264 2122 3 Radius Radius NNP A52264 2122 4 , , , A52264 2122 5 90 90 CD A52264 2122 6 10.000000 10.000000 CD A52264 2122 7 To to IN A52264 2122 8 the the DT A52264 2122 9 Co co NN A52264 2122 10 - - NN A52264 2122 11 sine sine NN A52264 2122 12 of of IN A52264 2122 13 PZR PZR NNP A52264 2122 14 , , , A52264 2122 15 65 65 CD A52264 2122 16 9.629378 9.629378 CD A52264 2122 17 So so RB A52264 2122 18 is be VBZ A52264 2122 19 the the DT A52264 2122 20 tangent tangent NN A52264 2122 21 of of IN A52264 2122 22 PZ PZ NNP A52264 2122 23 , , , A52264 2122 24 38.47 38.47 CD A52264 2122 25 9.900138 9.900138 CD A52264 2122 26         _SP A52264 2122 27 To to IN A52264 2122 28 the the DT A52264 2122 29 tangent tangent NN A52264 2122 30 of of IN A52264 2122 31 ZR ZR NNP A52264 2122 32 , , , A52264 2122 33 18.70 18.70 CD A52264 2122 34 9.529516 9.529516 CD A52264 2122 35 These these DT A52264 2122 36 things thing NNS A52264 2122 37 given give VBN A52264 2122 38 , , , A52264 2122 39 the the DT A52264 2122 40 angle angle NN A52264 2122 41 at at IN A52264 2122 42 P p NN A52264 2122 43 between between IN A52264 2122 44 the the DT A52264 2122 45 two two CD A52264 2122 46 meridians meridian NNS A52264 2122 47 may may MD A52264 2122 48 be be VB A52264 2122 49 found find VBN A52264 2122 50 by by IN A52264 2122 51 the the DT A52264 2122 52 9 9 CD A52264 2122 53 Case case NN A52264 2122 54 of of IN A52264 2122 55 right right NN A52264 2122 56 angled angle VBN A52264 2122 57 Sphericall Sphericall NNP A52264 2122 58 Triangles Triangles NNP A52264 2122 59 , , , A52264 2122 60 for for IN A52264 2122 61 the the DT A52264 2122 62 proportion proportion NN A52264 2122 63 is be VBZ A52264 2122 64 , , , A52264 2122 65 As as IN A52264 2122 66 the the DT A52264 2122 67 Radius Radius NNP A52264 2122 68 , , , A52264 2122 69 10.000000 10.000000 CD A52264 2122 70 To to IN A52264 2122 71 the the DT A52264 2122 72 Co co NN A52264 2122 73 - - NN A52264 2122 74 sine sine NN A52264 2122 75 of of IN A52264 2122 76 PZ PZ NNP A52264 2122 77 , , , A52264 2122 78 38.47 38.47 CD A52264 2122 79 9.893725 9.893725 CD A52264 2122 80 So so IN A52264 2122 81 the the DT A52264 2122 82 Tangent Tangent NNP A52264 2122 83 of of IN A52264 2122 84 PZR PZR NNP A52264 2122 85 , , , A52264 2122 86 65 65 CD A52264 2122 87 10.331327 10.331327 CD A52264 2122 88         _SP A52264 2122 89 To to IN A52264 2122 90 the the DT A52264 2122 91 Co Co NNP A52264 2122 92 - - NNP A52264 2122 93 tang tang NNP A52264 2122 94 . . . A52264 2123 1 of of IN A52264 2123 2 RPZ RPZ NNP A52264 2123 3 , , , A52264 2123 4 30.78 30.78 CD A52264 2123 5 10.225052 10.225052 CD A52264 2123 6 Having have VBG A52264 2123 7 thus thus RB A52264 2123 8 found find VBN A52264 2123 9 the the DT A52264 2123 10 angle angle NN A52264 2123 11 between between IN A52264 2123 12 the the DT A52264 2123 13 Meridians Meridians NNPS A52264 2123 14 to to TO A52264 2123 15 be be VB A52264 2123 16 30 30 CD A52264 2123 17 deg deg NN A52264 2123 18 . . . A52264 2124 1 78 78 CD A52264 2124 2 min min NN A52264 2124 3 . . . A52264 2125 1 you -PRON- PRP A52264 2125 2 may may MD A52264 2125 3 conclude conclude VB A52264 2125 4 from from IN A52264 2125 5 thence thence NN A52264 2125 6 , , , A52264 2125 7 that that IN A52264 2125 8 the the DT A52264 2125 9 substile substile NN A52264 2125 10 shall shall MD A52264 2125 11 fall fall VB A52264 2125 12 between between IN A52264 2125 13 the the DT A52264 2125 14 2d 2d CD A52264 2125 15 . . . A52264 2126 1 & & CC A52264 2126 2 third third NNP A52264 2126 3 houres houre NNS A52264 2126 4 distance distance NN A52264 2126 5 from from IN A52264 2126 6 the the DT A52264 2126 7 Meridian Meridian NNP A52264 2126 8 of of IN A52264 2126 9 the the DT A52264 2126 10 place place NN A52264 2126 11 , , , A52264 2126 12 and and CC A52264 2126 13 therefore therefore RB A52264 2126 14 between between IN A52264 2126 15 9 9 CD A52264 2126 16 and and CC A52264 2126 17 10 10 CD A52264 2126 18 of of IN A52264 2126 19 the the DT A52264 2126 20 clock clock NN A52264 2126 21 in in IN A52264 2126 22 the the DT A52264 2126 23 morning morning NN A52264 2126 24 , , , A52264 2126 25 because because IN A52264 2126 26 the the DT A52264 2126 27 plain plain JJ A52264 2126 28 declineth declineth NNP A52264 2126 29 East East NNP A52264 2126 30 from from IN A52264 2126 31 us -PRON- PRP A52264 2126 32 , , , A52264 2126 33 9 9 CD A52264 2126 34 of of IN A52264 2126 35 the the DT A52264 2126 36 clock clock NN A52264 2126 37 being be VBG A52264 2126 38 45 45 CD A52264 2126 39 deg deg NN A52264 2126 40 . . . A52264 2127 1 from from IN A52264 2127 2 the the DT A52264 2127 3 Meridian Meridian NNP A52264 2127 4 , , , A52264 2127 5 and and CC A52264 2127 6 10 10 CD A52264 2127 7 of of IN A52264 2127 8 the the DT A52264 2127 9 clock clock NN A52264 2127 10 30 30 CD A52264 2127 11 deg deg NN A52264 2127 12 . . . A52264 2128 1 distant distant JJ A52264 2128 2 , , , A52264 2128 3 now now RB A52264 2128 4 therefore therefore RB A52264 2128 5 let let VBP A52264 2128 6 fall fall VB A52264 2128 7 a a DT A52264 2128 8 perpendicular perpendicular NN A52264 2128 9 between between IN A52264 2128 10 9 9 CD A52264 2128 11 and and CC A52264 2128 12 10 10 CD A52264 2128 13 , , , A52264 2128 14 the the DT A52264 2128 15 better well JJR A52264 2128 16 to to TO A52264 2128 17 inform inform VB A52264 2128 18 the the DT A52264 2128 19 fancie fancie NN A52264 2128 20 in in IN A52264 2128 21 the the DT A52264 2128 22 rest rest NN A52264 2128 23 of of IN A52264 2128 24 the the DT A52264 2128 25 work work NN A52264 2128 26 , , , A52264 2128 27 and and CC A52264 2128 28 this this DT A52264 2128 29 shall shall MD A52264 2128 30 make make VB A52264 2128 31 up up RP A52264 2128 32 the the DT A52264 2128 33 Triangle Triangle NNP A52264 2128 34 PRZ PRZ NNP A52264 2128 35 before before IN A52264 2128 36 mentioned mention VBN A52264 2128 37 and and CC A52264 2128 38 supposed suppose VBD A52264 2128 39 , , , A52264 2128 40 which which WDT A52264 2128 41 being be VBG A52264 2128 42 found find VBN A52264 2128 43 we -PRON- PRP A52264 2128 44 may may MD A52264 2128 45 calculate calculate VB A52264 2128 46 all all PDT A52264 2128 47 the the DT A52264 2128 48 houre houre NN A52264 2128 49 distances distance NNS A52264 2128 50 by by IN A52264 2128 51 the the DT A52264 2128 52 first first JJ A52264 2128 53 case case NN A52264 2128 54 of of IN A52264 2128 55 right right JJ A52264 2128 56 angled angle VBN A52264 2128 57 sphericall sphericall NN A52264 2128 58 Triangles Triangles NNPS A52264 2128 59 . . . A52264 2129 1 For for IN A52264 2129 2 , , , A52264 2129 3 As as IN A52264 2129 4 the the DT A52264 2129 5 Radius Radius NNP A52264 2129 6 , , , A52264 2129 7 Is be VBZ A52264 2129 8 to to IN A52264 2129 9 the the DT A52264 2129 10 sine sine NN A52264 2129 11 of of IN A52264 2129 12 the the DT A52264 2129 13 base base NN A52264 2129 14 PR pr NN A52264 2129 15 ; ; : A52264 2129 16 S s NN A52264 2129 17 ● ● NFP A52264 2129 18 is be VBZ A52264 2129 19 the the DT A52264 2129 20 Tangent Tangent NNP A52264 2129 21 of of IN A52264 2129 22 the the DT A52264 2129 23 angle angle NN A52264 2129 24 at at IN A52264 2129 25 the the DT A52264 2129 26 perpendicular perpendicular NN A52264 2129 27 , , , A52264 2129 28 RP RP NNP A52264 2129 29 9 9 CD A52264 2129 30 , , , A52264 2129 31 To to IN A52264 2129 32 the the DT A52264 2129 33 tangent tangent NN A52264 2129 34 of of IN A52264 2129 35 R r NN A52264 2129 36 9 9 CD A52264 2129 37 the the DT A52264 2129 38 perpendicular perpendicular JJ A52264 2129 39 The the DT A52264 2129 40 angle angle NN A52264 2129 41 at at IN A52264 2129 42 P p NN A52264 2129 43 is be VBZ A52264 2129 44 alwayes alwayes NNP A52264 2129 45 the the DT A52264 2129 46 Equinoctiall Equinoctiall NNP A52264 2129 47 distance distance NN A52264 2129 48 of of IN A52264 2129 49 the the DT A52264 2129 50 houre houre NN A52264 2129 51 line line NN A52264 2129 52 from from IN A52264 2129 53 the the DT A52264 2129 54 substile substile NN A52264 2129 55 , , , A52264 2129 56 and and CC A52264 2129 57 may may MD A52264 2129 58 thus thus RB A52264 2129 59 be be VB A52264 2129 60 sound sound JJ A52264 2129 61 : : : A52264 2129 62 If if IN A52264 2129 63 the the DT A52264 2129 64 angle angle NN A52264 2129 65 between between IN A52264 2129 66 the the DT A52264 2129 67 Meridians Meridians NNPS A52264 2129 68 be be VB A52264 2129 69 lesse lesse JJ A52264 2129 70 than than IN A52264 2129 71 the the DT A52264 2129 72 houre houre NN A52264 2129 73 distance distance NN A52264 2129 74 , , , A52264 2129 75 substract substract VB A52264 2129 76 the the DT A52264 2129 77 distance distance NN A52264 2129 78 of of IN A52264 2129 79 the the DT A52264 2129 80 substile substile NN A52264 2129 81 from from IN A52264 2129 82 the the DT A52264 2129 83 houre houre NN A52264 2129 84 distance distance NN A52264 2129 85 ; ; : A52264 2129 86 if if IN A52264 2129 87 greater great JJR A52264 2129 88 substract substract VBP A52264 2129 89 the the DT A52264 2129 90 houre houre NN A52264 2129 91 distance distance NN A52264 2129 92 from from IN A52264 2129 93 that that DT A52264 2129 94 , , , A52264 2129 95 and and CC A52264 2129 96 their -PRON- PRP$ A52264 2129 97 difference difference NN A52264 2129 98 shall shall MD A52264 2129 99 give give VB A52264 2129 100 you -PRON- PRP A52264 2129 101 the the DT A52264 2129 102 Equinoctiall Equinoctiall NNP A52264 2129 103 distance distance NN A52264 2129 104 required require VBD A52264 2129 105 . . . A52264 2130 1 Thus thus RB A52264 2130 2 in in IN A52264 2130 3 our -PRON- PRP$ A52264 2130 4 Example example NN A52264 2130 5 , , , A52264 2130 6 the the DT A52264 2130 7 angle angle NN A52264 2130 8 between between IN A52264 2130 9 the the DT A52264 2130 10 Meridians Meridians NNPS A52264 2130 11 was be VBD A52264 2130 12 found find VBN A52264 2130 13 to to TO A52264 2130 14 be be VB A52264 2130 15 30 30 CD A52264 2130 16 deg deg NN A52264 2130 17 . . . A52264 2131 1 78 78 CD A52264 2131 2 m. m. NN A52264 2131 3 and and CC A52264 2131 4 the the DT A52264 2131 5 distance distance NN A52264 2131 6 of of IN A52264 2131 7 9 9 CD A52264 2131 8 of of IN A52264 2131 9 the the DT A52264 2131 10 clock clock NN A52264 2131 11 from from IN A52264 2131 12 1 1 CD A52264 2131 13 ● ● CD A52264 2131 14 is be VBZ A52264 2131 15 three three CD A52264 2131 16 houres houre NNS A52264 2131 17 , , , A52264 2131 18 or or CC A52264 2131 19 45 45 CD A52264 2131 20 deg deg NN A52264 2131 21 . . . A52264 2132 1 if if IN A52264 2132 2 therefore therefore RB A52264 2132 3 I -PRON- PRP A52264 2132 4 substract substract VBP A52264 2132 5 30 30 CD A52264 2132 6 deg deg NN A52264 2132 7 . . . A52264 2133 1 78 78 CD A52264 2133 2 min min NN A52264 2133 3 . . . A52264 2134 1 from from IN A52264 2134 2 45 45 CD A52264 2134 3 deg deg NN A52264 2134 4 . . . A52264 2135 1 the the DT A52264 2135 2 remainder remainder NN A52264 2135 3 will will MD A52264 2135 4 be be VB A52264 2135 5 14 14 CD A52264 2135 6 deg deg NN A52264 2135 7 . . . A52264 2136 1 22 22 CD A52264 2136 2 min min NN A52264 2136 3 . . . A52264 2137 1 the the DT A52264 2137 2 distance distance NN A52264 2137 3 of of IN A52264 2137 4 9 9 CD A52264 2137 5 of of IN A52264 2137 6 the the DT A52264 2137 7 clock clock NN A52264 2137 8 from from IN A52264 2137 9 the the DT A52264 2137 10 substile substile NN A52264 2137 11 . . . A52264 2138 1 Again again RB A52264 2138 2 , , , A52264 2138 3 the the DT A52264 2138 4 distance distance NN A52264 2138 5 of of IN A52264 2138 6 10 10 CD A52264 2138 7 of of IN A52264 2138 8 the the DT A52264 2138 9 clock clock NN A52264 2138 10 from from IN A52264 2138 11 the the DT A52264 2138 12 Meridian Meridian NNP A52264 2138 13 is be VBZ A52264 2138 14 30 30 CD A52264 2138 15 deg deg NN A52264 2138 16 . . . A52264 2139 1 and and CC A52264 2139 2 therefore therefore RB A52264 2139 3 if if IN A52264 2139 4 I -PRON- PRP A52264 2139 5 substract substract VBP A52264 2139 6 30 30 CD A52264 2139 7 deg deg NN A52264 2139 8 . . . A52264 2140 1 from from IN A52264 2140 2 30 30 CD A52264 2140 3 deg deg NN A52264 2140 4 . . . A52264 2141 1 78 78 CD A52264 2141 2 min min NN A52264 2141 3 . . . A52264 2142 1 the the DT A52264 2142 2 distance distance NN A52264 2142 3 of of IN A52264 2142 4 10 10 CD A52264 2142 5 of of IN A52264 2142 6 the the DT A52264 2142 7 clock clock NN A52264 2142 8 from from IN A52264 2142 9 the the DT A52264 2142 10 substile substile NN A52264 2142 11 will will MD A52264 2142 12 be be VB A52264 2142 13 78 78 CD A52264 2142 14 centesms centesm NNS A52264 2142 15 or or CC A52264 2142 16 parts part NNS A52264 2142 17 of of IN A52264 2142 18 a a DT A52264 2142 19 degree degree NN A52264 2142 20 : : : A52264 2142 21 the the DT A52264 2142 22 rest rest NN A52264 2142 23 of of IN A52264 2142 24 the the DT A52264 2142 25 houres houre NNS A52264 2142 26 and and CC A52264 2142 27 parts part NNS A52264 2142 28 are be VBP A52264 2142 29 easily easily RB A52264 2142 30 found find VBN A52264 2142 31 by by IN A52264 2142 32 a a DT A52264 2142 33 continual continual JJ A52264 2142 34 addition addition NN A52264 2142 35 of of IN A52264 2142 36 15 15 CD A52264 2142 37 deg deg NN A52264 2142 38 . . . A52264 2143 1 for for IN A52264 2143 2 every every DT A52264 2143 3 houre houre NN A52264 2143 4 , , , A52264 2143 5 7 7 CD A52264 2143 6 deg deg NN A52264 2143 7 . . . A52264 2144 1 50 50 CD A52264 2144 2 min min NN A52264 2144 3 . . . A52264 2145 1 for for IN A52264 2145 2 half half PDT A52264 2145 3 an an DT A52264 2145 4 houre houre NN A52264 2145 5 , , , A52264 2145 6 3 3 CD A52264 2145 7 deg deg NN A52264 2145 8 . . . A52264 2146 1 75 75 CD A52264 2146 2 min min NN A52264 2146 3 . . . A52264 2147 1 for for IN A52264 2147 2 a a DT A52264 2147 3 quarter quarter NN A52264 2147 4 of of IN A52264 2147 5 an an DT A52264 2147 6 houre houre NN A52264 2147 7 , , , A52264 2147 8 as as IN A52264 2147 9 in in IN A52264 2147 10 the the DT A52264 2147 11 Table table NN A52264 2147 12 following follow VBG A52264 2147 13 you -PRON- PRP A52264 2147 14 may may MD A52264 2147 15 perceive perceive VB A52264 2147 16 , , , A52264 2147 17 the the DT A52264 2147 18 which which WDT A52264 2147 19 consists consist VBZ A52264 2147 20 of of IN A52264 2147 21 three three CD A52264 2147 22 columns column NNS A52264 2147 23 , , , A52264 2147 24 the the DT A52264 2147 25 first first JJ A52264 2147 26 containeth containeth NNP A52264 2147 27 the the DT A52264 2147 28 houres houre NNS A52264 2147 29 , , , A52264 2147 30 the the DT A52264 2147 31 second second JJ A52264 2147 32 their -PRON- PRP$ A52264 2147 33 Equinoctiall Equinoctiall NNP A52264 2147 34 distances distance NNS A52264 2147 35 from from IN A52264 2147 36 the the DT A52264 2147 37 substile substile NN A52264 2147 38 , , , A52264 2147 39 the the DT A52264 2147 40 third third JJ A52264 2147 41 and and CC A52264 2147 42 last last JJ A52264 2147 43 the the DT A52264 2147 44 houre houre NN A52264 2147 45 arches arch NNS A52264 2147 46 , , , A52264 2147 47 computed compute VBN A52264 2147 48 by by IN A52264 2147 49 the the DT A52264 2147 50 former former JJ A52264 2147 51 proportion proportion NN A52264 2147 52 in in IN A52264 2147 53 this this DT A52264 2147 54 manner manner NN A52264 2147 55 . . . A52264 2148 1 As as IN A52264 2148 2 the the DT A52264 2148 3 Radius Radius NNP A52264 2148 4 , , , A52264 2148 5 90 90 CD A52264 2148 6 10.000000 10.000000 CD A52264 2148 7 Is be VBZ A52264 2148 8 to to IN A52264 2148 9 the the DT A52264 2148 10 sine sine NN A52264 2148 11 of of IN A52264 2148 12 PR PR NNP A52264 2148 13 , , , A52264 2148 14 34.32 34.32 CD A52264 2148 15 9.751136 9.751136 CD A52264 2148 16 So so RB A52264 2148 17 is be VBZ A52264 2148 18 the the DT A52264 2148 19 tang tang NNP A52264 2148 20 . . . A52264 2149 1 of of IN A52264 2149 2 RP RP NNP A52264 2149 3 9 9 CD A52264 2149 4 , , , A52264 2149 5 14.22 14.22 CD A52264 2149 6 9.403824 9.403824 CD A52264 2149 7 To to IN A52264 2149 8 the the DT A52264 2149 9 tangent tangent NN A52264 2149 10 of of IN A52264 2149 11 R r NN A52264 2149 12 9 9 CD A52264 2149 13 , , , A52264 2149 14 8.13 8.13 CD A52264 2149 15 9.154960 9.154960 CD A52264 2149 16 H H NNP A52264 2149 17 Aequ Aequ NNP A52264 2149 18 . . . A52264 2150 1 Arches Arches NNP A52264 2150 2 4 4 CD A52264 2150 3 89 89 CD A52264 2150 4 22 22 CD A52264 2150 5 88 88 CD A52264 2150 6 61 61 CD A52264 2150 7 5 5 CD A52264 2150 8 74 74 CD A52264 2150 9 22 22 CD A52264 2150 10 63 63 CD A52264 2150 11 38 38 CD A52264 2150 12 6 6 CD A52264 2150 13 59 59 CD A52264 2150 14 22 22 CD A52264 2150 15 43 43 CD A52264 2150 16 43 43 CD A52264 2150 17 7 7 CD A52264 2150 18 44 44 CD A52264 2150 19 22 22 CD A52264 2150 20 28 28 CD A52264 2150 21 75 75 CD A52264 2150 22 8 8 CD A52264 2150 23 29 29 CD A52264 2150 24 22 22 CD A52264 2150 25 17 17 CD A52264 2150 26 50 50 CD A52264 2150 27 9 9 CD A52264 2150 28 14 14 CD A52264 2150 29 22 22 CD A52264 2150 30 8 8 CD A52264 2150 31 13 13 CD A52264 2150 32     _SP A52264 2150 33 merid merid NNP A52264 2150 34 . . . A52264 2151 1 substil substil NNP A52264 2151 2 10 10 CD A52264 2151 3 00 00 CD A52264 2151 4 78 78 CD A52264 2151 5 00 00 CD A52264 2151 6 44 44 CD A52264 2151 7 11 11 CD A52264 2151 8 15 15 CD A52264 2151 9 78 78 CD A52264 2151 10 9 9 CD A52264 2151 11 05 05 CD A52264 2151 12 12 12 CD A52264 2151 13 30 30 CD A52264 2151 14 78 78 CD A52264 2151 15 18 18 CD A52264 2151 16 56 56 CD A52264 2151 17 1 1 CD A52264 2151 18 45 45 CD A52264 2151 19 78 78 CD A52264 2151 20 30 30 CD A52264 2151 21 08 08 CD A52264 2151 22 2 2 CD A52264 2151 23 60 60 CD A52264 2151 24 78 78 CD A52264 2151 25 45 45 CD A52264 2151 26 23 23 CD A52264 2151 27 3 3 CD A52264 2151 28 75 75 CD A52264 2151 29 78 78 CD A52264 2151 30 65 65 CD A52264 2151 31 80 80 CD A52264 2151 32 4 4 CD A52264 2151 33 90 90 CD A52264 2151 34 78 78 CD A52264 2151 35 88 88 CD A52264 2151 36 61 61 CD A52264 2151 37 The the DT A52264 2151 38 Geometricall Geometricall NNP A52264 2151 39 Projection Projection NNP A52264 2151 40 . . . A52264 2152 1 Having have VBG A52264 2152 2 calculated calculate VBN A52264 2152 3 the the DT A52264 2152 4 hour hour NN A52264 2152 5 distances distance NNS A52264 2152 6 , , , A52264 2152 7 you -PRON- PRP A52264 2152 8 may may MD A52264 2152 9 thus thus RB A52264 2152 10 make make VB A52264 2152 11 the the DT A52264 2152 12 Diall Diall NNP A52264 2152 13 ; ; : A52264 2152 14 Draw draw VB A52264 2152 15 the the DT A52264 2152 16 Horizontall Horizontall NNP A52264 2152 17 line line NN A52264 2152 18 ACB ACB NNP A52264 2152 19 , , , A52264 2152 20 then then RB A52264 2152 21 crosse crosse VB A52264 2152 22 it -PRON- PRP A52264 2152 23 at at IN A52264 2152 24 right right JJ A52264 2152 25 angles angle NNS A52264 2152 26 in in IN A52264 2152 27 C C NNP A52264 2152 28 , , , A52264 2152 29 with with IN A52264 2152 30 the the DT A52264 2152 31 line line NN A52264 2152 32 CO CO NNP A52264 2152 33 12 12 CD A52264 2152 34 . . . A52264 2153 1 Take take VB A52264 2153 2 60 60 CD A52264 2153 3 degrees degree NNS A52264 2153 4 from from IN A52264 2153 5 a a DT A52264 2153 6 Chord Chord NNP A52264 2153 7 , , , A52264 2153 8 and and CC A52264 2153 9 making make VBG A52264 2153 10 C C NNP A52264 2153 11 the the DT A52264 2153 12 Center Center NNP A52264 2153 13 , , , A52264 2153 14 draw draw VB A52264 2153 15 the the DT A52264 2153 16 Semicircle Semicircle NNP A52264 2153 17 AOB AOB NNP A52264 2153 18 , , , A52264 2153 19 representing represent VBG A52264 2153 20 the the DT A52264 2153 21 azimuth azimuth NN A52264 2153 22 GZD GZD NNP A52264 2153 23 in in IN A52264 2153 24 the the DT A52264 2153 25 Scheme Scheme NNP A52264 2153 26 , , , A52264 2153 27 in in IN A52264 2153 28 which which WDT A52264 2153 29 the the DT A52264 2153 30 plane plane NN A52264 2153 31 lieth lieth NNP A52264 2153 32 ; ; : A52264 2153 33 upon upon IN A52264 2153 34 this this DT A52264 2153 35 circle circle NN A52264 2153 36 from from IN A52264 2153 37 O o NN A52264 2153 38 to to IN A52264 2153 39 N n CD A52264 2153 40 set set VBN A52264 2153 41 off off RP A52264 2153 42 the the DT A52264 2153 43 distance distance NN A52264 2153 44 of of IN A52264 2153 45 the the DT A52264 2153 46 substile substile NN A52264 2153 47 from from IN A52264 2153 48 the the DT A52264 2153 49 Meridian Meridian NNP A52264 2153 50 , , , A52264 2153 51 which which WDT A52264 2153 52 was be VBD A52264 2153 53 found find VBN A52264 2153 54 before before RB A52264 2153 55 to to TO A52264 2153 56 be be VB A52264 2153 57 18.70 18.70 CD A52264 2153 58 . . . A52264 2154 1 upon upon IN A52264 2154 2 the the DT A52264 2154 3 West West NNP A52264 2154 4 side side NN A52264 2154 5 of of IN A52264 2154 6 the the DT A52264 2154 7 Meridian Meridian NNP A52264 2154 8 , , , A52264 2154 9 because because IN A52264 2154 10 this this DT A52264 2154 11 plane plane NN A52264 2154 12 declineth declineth NNP A52264 2154 13 East East NNP A52264 2154 14 , , , A52264 2154 15 then then RB A52264 2154 16 take take VB A52264 2154 17 off off RP A52264 2154 18 the the DT A52264 2154 19 same same JJ A52264 2154 20 Chord Chord NNP A52264 2154 21 the the DT A52264 2154 22 severall severall JJ A52264 2154 23 hour hour NN A52264 2154 24 - - HYPH A52264 2154 25 distances distance NNS A52264 2154 26 , , , A52264 2154 27 as as IN A52264 2154 28 they -PRON- PRP A52264 2154 29 are be VBP A52264 2154 30 ready ready JJ A52264 2154 31 calculated calculate VBN A52264 2154 32 in in IN A52264 2154 33 the the DT A52264 2154 34 table table NN A52264 2154 35 , , , A52264 2154 36 viz viz NN A52264 2154 37 . . . A52264 2155 1 8.13 8.13 CD A52264 2155 2 . . . A52264 2156 1 for for IN A52264 2156 2 9 9 CD A52264 2156 3 , , , A52264 2156 4 17.50 17.50 CD A52264 2156 5 . . . A52264 2157 1 for for IN A52264 2157 2 8 8 CD A52264 2157 3 : : : A52264 2157 4 and and CC A52264 2157 5 so so RB A52264 2157 6 of of IN A52264 2157 7 the the DT A52264 2157 8 rest rest NN A52264 2157 9 ; ; , A52264 2157 10 and and CC A52264 2157 11 set set VBD A52264 2157 12 them -PRON- PRP A52264 2157 13 from from IN A52264 2157 14 the the DT A52264 2157 15 substile substile NN A52264 2157 16 upon upon IN A52264 2157 17 the the DT A52264 2157 18 circle circle NN A52264 2157 19 RNO RNO NNP A52264 2157 20 , , , A52264 2157 21 as as IN A52264 2157 22 the the DT A52264 2157 23 Table table NN A52264 2157 24 it -PRON- PRP A52264 2157 25 self self VBD A52264 2157 26 directeth directeth NNP A52264 2157 27 ; ; : A52264 2157 28 draw draw VB A52264 2157 29 streight streight JJ A52264 2157 30 lines line NNS A52264 2157 31 from from IN A52264 2157 32 the the DT A52264 2157 33 center center NN A52264 2157 34 C c NN A52264 2157 35 to to IN A52264 2157 36 these these DT A52264 2157 37 several several JJ A52264 2157 38 points point NNS A52264 2157 39 , , , A52264 2157 40 so so RB A52264 2157 41 have have VBP A52264 2157 42 you -PRON- PRP A52264 2157 43 the the DT A52264 2157 44 true true JJ A52264 2157 45 hour hour NN A52264 2157 46 lines line NNS A52264 2157 47 , , , A52264 2157 48 which which WDT A52264 2157 49 were be VBD A52264 2157 50 desired desire VBN A52264 2157 51 : : : A52264 2157 52 and and CC A52264 2157 53 lastly lastly RB A52264 2157 54 , , , A52264 2157 55 take take VB A52264 2157 56 from from IN A52264 2157 57 the the DT A52264 2157 58 same same JJ A52264 2157 59 Chord Chord NNP A52264 2157 60 the the DT A52264 2157 61 heighth heighth NN A52264 2157 62 of of IN A52264 2157 63 the the DT A52264 2157 64 stile stile NN A52264 2157 65 found find VBN A52264 2157 66 to to TO A52264 2157 67 be be VB A52264 2157 68 34 34 CD A52264 2157 69 . . . A52264 2158 1 32 32 CD A52264 2158 2 . . . A52264 2158 3 which which WDT A52264 2158 4 being be VBG A52264 2158 5 set set VBN A52264 2158 6 from from IN A52264 2158 7 N n CD A52264 2158 8 to to IN A52264 2158 9 R r NN A52264 2158 10 , , , A52264 2158 11 and and CC A52264 2158 12 a a DT A52264 2158 13 streight streight JJ A52264 2158 14 line line NN A52264 2158 15 drawn draw VBN A52264 2158 16 from from IN A52264 2158 17 C c NN A52264 2158 18 through through IN A52264 2158 19 R r NN A52264 2158 20 representing represent VBG A52264 2158 21 the the DT A52264 2158 22 axis axis NN A52264 2158 23 , , , A52264 2158 24 the the DT A52264 2158 25 Diall Diall NNP A52264 2158 26 is be VBZ A52264 2158 27 finished finish VBN A52264 2158 28 for for IN A52264 2158 29 use use NN A52264 2158 30 . . . A52264 2159 1 Nay nay UH A52264 2159 2 , , , A52264 2159 3 thus thus RB A52264 2159 4 have have VBP A52264 2159 5 you -PRON- PRP A52264 2159 6 made make VBN A52264 2159 7 four four CD A52264 2159 8 Dials Dials NNPS A52264 2159 9 in in IN A52264 2159 10 one one CD A52264 2159 11 , , , A52264 2159 12 viz viz NN A52264 2159 13 . . . A52264 2160 1 a a DT A52264 2160 2 South South NNP A52264 2160 3 declining decline VBG A52264 2160 4 East East NNP A52264 2160 5 and and CC A52264 2160 6 West West NNP A52264 2160 7 25 25 CD A52264 2160 8 degrees degree NNS A52264 2160 9 , , , A52264 2160 10 and and CC A52264 2160 11 a a DT A52264 2160 12 North North NNP A52264 2160 13 declining decline VBG A52264 2160 14 East East NNP A52264 2160 15 or or CC A52264 2160 16 West West NNP A52264 2160 17 as as RB A52264 2160 18 much much RB A52264 2160 19 ; ; : A52264 2160 20 to to TO A52264 2160 21 make make VB A52264 2160 22 this this DT A52264 2160 23 plainly plainly RB A52264 2160 24 appear appear VB A52264 2160 25 , , , A52264 2160 26 suppose suppose VB A52264 2160 27 in in IN A52264 2160 28 the the DT A52264 2160 29 fundamental fundamental JJ A52264 2160 30 Scheme Scheme NNP A52264 2160 31 if if IN A52264 2160 32 N n CD A52264 2160 33 were be VBD A52264 2160 34 again again RB A52264 2160 35 the the DT A52264 2160 36 North North NNP A52264 2160 37 part part NN A52264 2160 38 of of IN A52264 2160 39 the the DT A52264 2160 40 horizon horizon NN A52264 2160 41 , , , A52264 2160 42 P p NN A52264 2160 43 the the DT A52264 2160 44 North North NNP A52264 2160 45 pole pole NN A52264 2160 46 , , , A52264 2160 47 and and CC A52264 2160 48 that that IN A52264 2160 49 GZD GZD NNP A52264 2160 50 were be VBD A52264 2160 51 a a DT A52264 2160 52 North North NNP A52264 2160 53 declining decline VBG A52264 2160 54 West West NNP A52264 2160 55 25 25 CD A52264 2160 56 degrees degree NNS A52264 2160 57 , , , A52264 2160 58 then then RB A52264 2160 59 do do VB A52264 2160 60 all all PDT A52264 2160 61 the the DT A52264 2160 62 hour hour NN A52264 2160 63 - - HYPH A52264 2160 64 circles circle NNS A52264 2160 65 crosse crosse VBP A52264 2160 66 the the DT A52264 2160 67 same same JJ A52264 2160 68 plane plane NN A52264 2160 69 , , , A52264 2160 70 as as IN A52264 2160 71 they -PRON- PRP A52264 2160 72 did do VBD A52264 2160 73 the the DT A52264 2160 74 former former JJ A52264 2160 75 ; ; : A52264 2160 76 onely onely RB A52264 2160 77 DZ dz NN A52264 2160 78 which which WDT A52264 2160 79 was be VBD A52264 2160 80 in in IN A52264 2160 81 the the DT A52264 2160 82 former former JJ A52264 2160 83 the the DT A52264 2160 84 East East NNP A52264 2160 85 side side NN A52264 2160 86 will will MD A52264 2160 87 now now RB A52264 2160 88 be be VB A52264 2160 89 the the DT A52264 2160 90 West West NNP A52264 2160 91 : : : A52264 2160 92 and and CC A52264 2160 93 consequently consequently RB A52264 2160 94 the the DT A52264 2160 95 afternoon afternoon NN A52264 2160 96 hours hour NNS A52264 2160 97 must must MD A52264 2160 98 stand stand VB A52264 2160 99 where where WRB A52264 2160 100 the the DT A52264 2160 101 forenoon forenoon NNP A52264 2160 102 hours hour NNS A52264 2160 103 did do VBD A52264 2160 104 , , , A52264 2160 105 the the DT A52264 2160 106 stile stile NN A52264 2160 107 also also RB A52264 2160 108 , , , A52264 2160 109 which which WDT A52264 2160 110 in in IN A52264 2160 111 the the DT A52264 2160 112 East East NNP A52264 2160 113 declining decline VBG A52264 2160 114 stood stand VBD A52264 2160 115 between between IN A52264 2160 116 9 9 CD A52264 2160 117 and and CC A52264 2160 118 10 10 CD A52264 2160 119 , , , A52264 2160 120 must must MD A52264 2160 121 now now RB A52264 2160 122 stand stand VB A52264 2160 123 between between IN A52264 2160 124 2 2 CD A52264 2160 125 and and CC A52264 2160 126 3 3 CD A52264 2160 127 of of IN A52264 2160 128 the the DT A52264 2160 129 afternoon afternoon NN A52264 2160 130 hours hour NNS A52264 2160 131 . . . A52264 2161 1 And and CC A52264 2161 2 lest l JJS A52264 2161 3 there there EX A52264 2161 4 should should MD A52264 2161 5 be be VB A52264 2161 6 yet yet RB A52264 2161 7 any any DT A52264 2161 8 doubt doubt RB A52264 2161 9 conceived conceive VBN A52264 2161 10 , , , A52264 2161 11 I -PRON- PRP A52264 2161 12 have have VBP A52264 2161 13 drawn draw VBN A52264 2161 14 to to IN A52264 2161 15 the the DT A52264 2161 16 South South NNP A52264 2161 17 declining decline VBG A52264 2161 18 East East NNP A52264 2161 19 25 25 CD A52264 2161 20 , , , A52264 2161 21 the the DT A52264 2161 22 North North NNP A52264 2161 23 declining decline VBG A52264 2161 24 West West NNP A52264 2161 25 as as RB A52264 2161 26 much much JJ A52264 2161 27 ; ; : A52264 2161 28 from from IN A52264 2161 29 which which WDT A52264 2161 30 to to TO A52264 2161 31 make make VB A52264 2161 32 the the DT A52264 2161 33 South South NNP A52264 2161 34 declining decline VBG A52264 2161 35 West west NN A52264 2161 36 , , , A52264 2161 37 and and CC A52264 2161 38 North North NNP A52264 2161 39 declining decline VBG A52264 2161 40 East East NNP A52264 2161 41 , , , A52264 2161 42 you -PRON- PRP A52264 2161 43 need need VBP A52264 2161 44 to to TO A52264 2161 45 do do VB A52264 2161 46 no no DT A52264 2161 47 more more RBR A52264 2161 48 then then RB A52264 2161 49 prick prick VB A52264 2161 50 these these DT A52264 2161 51 hour hour NN A52264 2161 52 lines line NNS A52264 2161 53 through through IN A52264 2161 54 the the DT A52264 2161 55 paper paper NN A52264 2161 56 , , , A52264 2161 57 and and CC A52264 2161 58 draw draw VB A52264 2161 59 them -PRON- PRP A52264 2161 60 again again RB A52264 2161 61 on on IN A52264 2161 62 the the DT A52264 2161 63 other other JJ A52264 2161 64 side side NN A52264 2161 65 , , , A52264 2161 66 stile stile NNS A52264 2161 67 and and CC A52264 2161 68 all all RB A52264 2161 69 ; ; : A52264 2161 70 so so CC A52264 2161 71 shall shall MD A52264 2161 72 they -PRON- PRP A52264 2161 73 serve serve VB A52264 2161 74 the the DT A52264 2161 75 turn turn NN A52264 2161 76 , , , A52264 2161 77 if if IN A52264 2161 78 you -PRON- PRP A52264 2161 79 place place VBP A52264 2161 80 the the DT A52264 2161 81 morning morning NN A52264 2161 82 hours hour NNS A52264 2161 83 in in IN A52264 2161 84 the the DT A52264 2161 85 one one NN A52264 2161 86 , , , A52264 2161 87 where where WRB A52264 2161 88 the the DT A52264 2161 89 afternoon afternoon NN A52264 2161 90 were be VBD A52264 2161 91 in in IN A52264 2161 92 the the DT A52264 2161 93 other other JJ A52264 2161 94 . . . A52264 2162 1 APPENDIX APPENDIX NNP A52264 2162 2 . . . A52264 2163 1 To to TO A52264 2163 2 draw draw VB A52264 2163 3 the the DT A52264 2163 4 hour hour NN A52264 2163 5 lines line NNS A52264 2163 6 upon upon IN A52264 2163 7 any any DT A52264 2163 8 plane plane NN A52264 2163 9 declining decline VBG A52264 2163 10 far far RB A52264 2163 11 East East NNP A52264 2163 12 or or CC A52264 2163 13 West West NNP A52264 2163 14 , , , A52264 2163 15 without without IN A52264 2163 16 respect respect NN A52264 2163 17 to to IN A52264 2163 18 the the DT A52264 2163 19 Center Center NNP A52264 2163 20 . . . A52264 2164 1 THe the DT A52264 2164 2 ordinary ordinary JJ A52264 2164 3 way way NN A52264 2164 4 is be VBZ A52264 2164 5 with with IN A52264 2164 6 a a DT A52264 2164 7 Beamcompasse Beamcompasse NNP A52264 2164 8 of of IN A52264 2164 9 16 16 CD A52264 2164 10 , , , A52264 2164 11 18 18 CD A52264 2164 12 , , , A52264 2164 13 or or CC A52264 2164 14 20 20 CD A52264 2164 15 foot foot NN A52264 2164 16 long long JJ A52264 2164 17 , , , A52264 2164 18 to to TO A52264 2164 19 draw draw VB A52264 2164 20 the the DT A52264 2164 21 Diall Diall NNP A52264 2164 22 upon upon IN A52264 2164 23 a a DT A52264 2164 24 large large JJ A52264 2164 25 floor floor NN A52264 2164 26 , , , A52264 2164 27 and and CC A52264 2164 28 then then RB A52264 2164 29 to to TO A52264 2164 30 cut cut VB A52264 2164 31 off off RP A52264 2164 32 the the DT A52264 2164 33 hours hour NNS A52264 2164 34 , , , A52264 2164 35 stile stile JJ A52264 2164 36 and and CC A52264 2164 37 all all DT A52264 2164 38 , , , A52264 2164 39 at at IN A52264 2164 40 10 10 CD A52264 2164 41 , , , A52264 2164 42 12 12 CD A52264 2164 43 , , , A52264 2164 44 or or CC A52264 2164 45 14 14 CD A52264 2164 46 foot foot NN A52264 2164 47 distance distance NN A52264 2164 48 from from IN A52264 2164 49 the the DT A52264 2164 50 center center NN A52264 2164 51 , , , A52264 2164 52 but but CC A52264 2164 53 this this DT A52264 2164 54 being be VBG A52264 2164 55 too too RB A52264 2164 56 mechanical mechanical JJ A52264 2164 57 for for IN A52264 2164 58 them -PRON- PRP A52264 2164 59 that that WDT A52264 2164 60 have have VBP A52264 2164 61 any any DT A52264 2164 62 Trigonometrical trigonometrical JJ A52264 2164 63 skill skill NN A52264 2164 64 , , , A52264 2164 65 I -PRON- PRP A52264 2164 66 omit omit VBP A52264 2164 67 , , , A52264 2164 68 and and CC A52264 2164 69 rather rather RB A52264 2164 70 commend commend VB A52264 2164 71 the the DT A52264 2164 72 way way NN A52264 2164 73 following follow VBG A52264 2164 74 ; ; : A52264 2164 75 by by IN A52264 2164 76 help help NN A52264 2164 77 whereof whereof IN A52264 2164 78 you -PRON- PRP A52264 2164 79 may may MD A52264 2164 80 upon upon IN A52264 2164 81 half half PDT A52264 2164 82 a a DT A52264 2164 83 sheet sheet NN A52264 2164 84 of of IN A52264 2164 85 paper paper NN A52264 2164 86 make make VBP A52264 2164 87 a a DT A52264 2164 88 perfect perfect JJ A52264 2164 89 model model NN A52264 2164 90 of of IN A52264 2164 91 your -PRON- PRP$ A52264 2164 92 Diall Diall NNP A52264 2164 93 , , , A52264 2164 94 to to IN A52264 2164 95 what what WDT A52264 2164 96 largenesse largenesse NN A52264 2164 97 you -PRON- PRP A52264 2164 98 please please VBP A52264 2164 99 , , , A52264 2164 100 without without IN A52264 2164 101 any any DT A52264 2164 102 regard regard NN A52264 2164 103 at at RB A52264 2164 104 all all RB A52264 2164 105 to to IN A52264 2164 106 the the DT A52264 2164 107 Center Center NNP A52264 2164 108 . . . A52264 2165 1 Suppose suppose VB A52264 2165 2 the the DT A52264 2165 3 wall wall NN A52264 2165 4 or or CC A52264 2165 5 plane plane NN A52264 2165 6 DZG DZG NNP A52264 2165 7 , , , A52264 2165 8 on on IN A52264 2165 9 which which WDT A52264 2165 10 you -PRON- PRP A52264 2165 11 would would MD A52264 2165 12 make make VB A52264 2165 13 a a DT A52264 2165 14 Diall Diall NNP A52264 2165 15 to to TO A52264 2165 16 decline decline VB A52264 2165 17 from from IN A52264 2165 18 N n CD A52264 2165 19 to to IN A52264 2165 20 C C NNP A52264 2165 21 , , , A52264 2165 22 that that DT A52264 2165 23 is is RB A52264 2165 24 from from IN A52264 2165 25 the the DT A52264 2165 26 South South NNP A52264 2165 27 Easterly easterly RB A52264 2165 28 83 83 CD A52264 2165 29 degrees degree NNS A52264 2165 30 , , , A52264 2165 31 62 62 CD A52264 2165 32 min min NN A52264 2165 33 . . . A52264 2166 1 set set VB A52264 2166 2 down down RP A52264 2166 3 the the DT A52264 2166 4 Data Data NNP A52264 2166 5 , , , A52264 2166 6 and and CC A52264 2166 7 by by IN A52264 2166 8 them -PRON- PRP A52264 2166 9 seek seek VBP A52264 2166 10 the the DT A52264 2166 11 Quaesita Quaesita NNP A52264 2166 12 , , , A52264 2166 13 according accord VBG A52264 2166 14 to to IN A52264 2166 15 the the DT A52264 2166 16 former former JJ A52264 2166 17 directions direction NNS A52264 2166 18 . . . A52264 2167 1 The the DT A52264 2167 2 Data Data NNPS A52264 2167 3 or or CC A52264 2167 4 things thing NNS A52264 2167 5 given give VBN A52264 2167 6 are be VBP A52264 2167 7 two two CD A52264 2167 8 . . . A52264 2168 1 1 1 LS A52264 2168 2 . . . A52264 2169 1 PS PS NNP A52264 2169 2 the the DT A52264 2169 3 poles pole NNS A52264 2169 4 elevation elevation VBP A52264 2169 5 51 51 CD A52264 2169 6 degrees degree NNS A52264 2169 7 , , , A52264 2169 8 53 53 CD A52264 2169 9 minutes minute NNS A52264 2169 10 . . . A52264 2170 1 2 2 LS A52264 2170 2 . . . A52264 2171 1 SA SA NNP A52264 2171 2 , , , A52264 2171 3 the the DT A52264 2171 4 planes plane NNS A52264 2171 5 declination declination NN A52264 2171 6 southeast southeast NNP A52264 2171 7 83 83 CD A52264 2171 8 deg deg NN A52264 2171 9 . . . A52264 2172 1 62 62 CD A52264 2172 2 min min NN A52264 2172 3 . . . A52264 2173 1 The the DT A52264 2173 2 Quaesita Quaesita NNP A52264 2173 3 or or CC A52264 2173 4 things thing NNS A52264 2173 5 sought seek VBN A52264 2173 6 are be VBP A52264 2173 7 three three CD A52264 2173 8 , , , A52264 2173 9 1 1 CD A52264 2173 10 . . . A52264 2174 1 PR pr RB A52264 2174 2 the the DT A52264 2174 3 height height NN A52264 2174 4 of of IN A52264 2174 5 the the DT A52264 2174 6 stile stile JJ A52264 2174 7 3 3 CD A52264 2174 8 degrees degree NNS A52264 2174 9 97 97 CD A52264 2174 10 minutes minute NNS A52264 2174 11 . . . A52264 2175 1 2 2 LS A52264 2175 2 . . . A52264 2176 1 ZR ZR NNP A52264 2176 2 , , , A52264 2176 3 the the DT A52264 2176 4 distance distance NN A52264 2176 5 of of IN A52264 2176 6 the the DT A52264 2176 7 substile substile NN A52264 2176 8 from from IN A52264 2176 9 the the DT A52264 2176 10 meridian meridian NNP A52264 2176 11 38 38 CD A52264 2176 12 deg deg NNP A52264 2176 13 . . . A52264 2177 1 30 30 CD A52264 2177 2 min min NN A52264 2177 3 . . . A52264 2178 1 3 3 LS A52264 2178 2 . . . A52264 2179 1 ZPR ZPR NNP A52264 2179 2 , , , A52264 2179 3 the the DT A52264 2179 4 angle angle NN A52264 2179 5 of of IN A52264 2179 6 the the DT A52264 2179 7 meridian meridian NN A52264 2179 8 of of IN A52264 2179 9 the the DT A52264 2179 10 plane plane NN A52264 2179 11 with with IN A52264 2179 12 the the DT A52264 2179 13 meridian meridian NN A52264 2179 14 of of IN A52264 2179 15 the the DT A52264 2179 16 place place NN A52264 2179 17 85 85 CD A52264 2179 18 degrees degree NNS A52264 2179 19 , , , A52264 2179 20 which which WDT A52264 2179 21 being be VBG A52264 2179 22 found find VBN A52264 2179 23 , , , A52264 2179 24 according accord VBG A52264 2179 25 to to IN A52264 2179 26 the the DT A52264 2179 27 former former JJ A52264 2179 28 directions direction NNS A52264 2179 29 , , , A52264 2179 30 the the DT A52264 2179 31 substile substile JJ A52264 2179 32 line line NN A52264 2179 33 must must MD A52264 2179 34 fall fall VB A52264 2179 35 within within IN A52264 2179 36 five five CD A52264 2179 37 degrees degree NNS A52264 2179 38 of of IN A52264 2179 39 six six CD A52264 2179 40 of of IN A52264 2179 41 the the DT A52264 2179 42 clock clock NN A52264 2179 43 , , , A52264 2179 44 because because IN A52264 2179 45 85 85 CD A52264 2179 46 degrees degree NNS A52264 2179 47 wanteth wanteth NN A52264 2179 48 but but CC A52264 2179 49 5 5 CD A52264 2179 50 of of IN A52264 2179 51 90 90 CD A52264 2179 52 , , , A52264 2179 53 the the DT A52264 2179 54 distance distance NN A52264 2179 55 of of IN A52264 2179 56 6 6 CD A52264 2179 57 from from IN A52264 2179 58 12 12 CD A52264 2179 59 . . . A52264 2180 1 Now now RB A52264 2180 2 therefore therefore RB A52264 2180 3 make make VBP A52264 2180 4 a a DT A52264 2180 5 table table NN A52264 2180 6 , , , A52264 2180 7 according accord VBG A52264 2180 8 to to IN A52264 2180 9 this this DT A52264 2180 10 example example NN A52264 2180 11 following follow VBG A52264 2180 12 , , , A52264 2180 13 wherein wherein WRB A52264 2180 14 set set VBD A52264 2180 15 down down RP A52264 2180 16 the the DT A52264 2180 17 houres houre NNS A52264 2180 18 from from IN A52264 2180 19 12 12 CD A52264 2180 20 , , , A52264 2180 21 as as IN A52264 2180 22 they -PRON- PRP A52264 2180 23 are be VBP A52264 2180 24 equidistant equidistant JJ A52264 2180 25 from from IN A52264 2180 26 the the DT A52264 2180 27 meridian meridian NN A52264 2180 28 , , , A52264 2180 29 and and CC A52264 2180 30 unto unto IN A52264 2180 31 them -PRON- PRP A52264 2180 32 adjoyn adjoyn VBP A52264 2180 33 their -PRON- PRP$ A52264 2180 34 Equinoctial equinoctial JJ A52264 2180 35 distances distance NNS A52264 2180 36 , , , A52264 2180 37 and and CC A52264 2180 38 write write VB A52264 2180 39 Meridian meridian JJ A52264 2180 40 and and CC A52264 2180 41 substile substile JJ A52264 2180 42 between between IN A52264 2180 43 the the DT A52264 2180 44 hours hour NNS A52264 2180 45 of of IN A52264 2180 46 6 6 CD A52264 2180 47 and and CC A52264 2180 48 7 7 CD A52264 2180 49 , , , A52264 2180 50 and and CC A52264 2180 51 write write VB A52264 2180 52 5 5 CD A52264 2180 53 degrees degree NNS A52264 2180 54 against against IN A52264 2180 55 the the DT A52264 2180 56 hour hour NN A52264 2180 57 of of IN A52264 2180 58 6 6 CD A52264 2180 59 , , , A52264 2180 60 10 10 CD A52264 2180 61 degrees degree NNS A52264 2180 62 against against IN A52264 2180 63 the the DT A52264 2180 64 hour hour NN A52264 2180 65 of of IN A52264 2180 66 7 7 CD A52264 2180 67 , , , A52264 2180 68 and and CC A52264 2180 69 to to IN A52264 2180 70 the the DT A52264 2180 71 Equinoctial equinoctial JJ A52264 2180 72 distances distance NNS A52264 2180 73 of of IN A52264 2180 74 each each DT A52264 2180 75 hour hour NN A52264 2180 76 adde adde IN A52264 2180 77 the the DT A52264 2180 78 natural natural JJ A52264 2180 79 tangents tangent NNS A52264 2180 80 of of IN A52264 2180 81 those those DT A52264 2180 82 distances distance NNS A52264 2180 83 , , , A52264 2180 84 as as RB A52264 2180 85 here here RB A52264 2180 86 you -PRON- PRP A52264 2180 87 see see VBP A52264 2180 88 . . . A52264 2181 1 So so RB A52264 2181 2 is be VBZ A52264 2181 3 the the DT A52264 2181 4 Table table NN A52264 2181 5 prepared prepare VBN A52264 2181 6 for for IN A52264 2181 7 use use NN A52264 2181 8 , , , A52264 2181 9 by by IN A52264 2181 10 which which WDT A52264 2181 11 you -PRON- PRP A52264 2181 12 may may MD A52264 2181 13 easily easily RB A52264 2181 14 frame frame VB A52264 2181 15 ● ● . A52264 2181 16 the the DT A52264 2181 17 Diall Diall NNP A52264 2181 18 to to IN A52264 2181 19 what what WDT A52264 2181 20 greatnesse greatnesse NN A52264 2181 21 you -PRON- PRP A52264 2181 22 will will MD A52264 2181 23 , , , A52264 2181 24 after after IN A52264 2181 25 this this DT A52264 2181 26 manner manner NN A52264 2181 27 . . . A52264 2182 1 Hours hour NNS A52264 2182 2 Equ Equ NNP A52264 2182 3 . . . A52264 2183 1 dist dist NN A52264 2183 2 . . . A52264 2184 1 Tang Tang NNP A52264 2184 2 . . . A52264 2185 1 4 4 CD A52264 2185 2 8 8 CD A52264 2185 3 35 35 CD A52264 2185 4 0 0 CD A52264 2185 5 700 700 CD A52264 2185 6 5 5 CD A52264 2185 7 7 7 CD A52264 2185 8 20 20 CD A52264 2185 9 0 0 CD A52264 2185 10 364 364 CD A52264 2185 11 6 6 CD A52264 2185 12 6 6 CD A52264 2185 13 5 5 CD A52264 2185 14 0 0 CD A52264 2185 15 087 087 CD A52264 2185 16         _SP A52264 2185 17 Meridiā Meridiā NNP A52264 2185 18 Substile Substile NNP A52264 2185 19 7 7 CD A52264 2185 20 5 5 CD A52264 2185 21 10 10 CD A52264 2185 22 0 0 CD A52264 2185 23 176 176 CD A52264 2185 24 8 8 CD A52264 2185 25 4 4 CD A52264 2185 26 25 25 CD A52264 2185 27 0 0 CD A52264 2185 28 166 166 CD A52264 2185 29 9 9 CD A52264 2185 30 3 3 CD A52264 2185 31 40 40 CD A52264 2185 32 0 0 CD A52264 2185 33 839 839 CD A52264 2185 34 10 10 CD A52264 2185 35 2 2 CD A52264 2185 36 55 55 CD A52264 2185 37 0 0 CD A52264 2185 38 1.428 1.428 CD A52264 2185 39 11 11 CD A52264 2185 40 1 1 CD A52264 2185 41 70 70 CD A52264 2185 42 0 0 CD A52264 2185 43 2.747 2.747 CD A52264 2185 44 12 12 CD A52264 2185 45 12 12 CD A52264 2185 46 85 85 CD A52264 2185 47 0 0 CD A52264 2185 48 11.430 11.430 CD A52264 2185 49 The the DT A52264 2185 50 Geometricall Geometricall NNP A52264 2185 51 projection projection NN A52264 2185 52 . . . A52264 2186 1 Proportion proportion NN A52264 2186 2 the the DT A52264 2186 3 plane plane NN A52264 2186 4 BCDE BCDE NNP A52264 2186 5 , , , A52264 2186 6 whereon whereon NN A52264 2186 7 you -PRON- PRP A52264 2186 8 will will MD A52264 2186 9 draw draw VB A52264 2186 10 the the DT A52264 2186 11 Diall Diall NNP A52264 2186 12 to to IN A52264 2186 13 what what WP A52264 2186 14 scantling scantle VBG A52264 2186 15 you -PRON- PRP A52264 2186 16 think think VBP A52264 2186 17 fit fit JJ A52264 2186 18 . . . A52264 2187 1 Let let VB A52264 2187 2 VP vp PRP A52264 2187 3 represent represent VB A52264 2187 4 the the DT A52264 2187 5 horizontal horizontal JJ A52264 2187 6 line line NN A52264 2187 7 , , , A52264 2187 8 upon upon IN A52264 2187 9 any any DT A52264 2187 10 part part NN A52264 2187 11 thereof thereof RB A52264 2187 12 , , , A52264 2187 13 as as IN A52264 2187 14 at at IN A52264 2187 15 P p NN A52264 2187 16 , , , A52264 2187 17 make make VB A52264 2187 18 choice choice NN A52264 2187 19 of of IN A52264 2187 20 a a DT A52264 2187 21 fit fit JJ A52264 2187 22 place place NN A52264 2187 23 for for IN A52264 2187 24 the the DT A52264 2187 25 perpendicular perpendicular JJ A52264 2187 26 stile stile NN A52264 2187 27 ( ( -LRB- A52264 2187 28 though though IN A52264 2187 29 afterwards afterwards RB A52264 2187 30 you -PRON- PRP A52264 2187 31 may may MD A52264 2187 32 use use VB A52264 2187 33 another another DT A52264 2187 34 forme forme NN A52264 2187 35 ) ) -RRB- A52264 2187 36 neer neer NN A52264 2187 37 about about IN A52264 2187 38 the the DT A52264 2187 39 upper upper JJ A52264 2187 40 part part NN A52264 2187 41 of of IN A52264 2187 42 the the DT A52264 2187 43 plane plane NN A52264 2187 44 , , , A52264 2187 45 because because IN A52264 2187 46 the the DT A52264 2187 47 great great JJ A52264 2187 48 angle angle NN A52264 2187 49 between between IN A52264 2187 50 the the DT A52264 2187 51 two two CD A52264 2187 52 Meridians Meridians NNPS A52264 2187 53 maketh maketh VBP A52264 2187 54 the the DT A52264 2187 55 substile substile NN A52264 2187 56 , , , A52264 2187 57 which which WDT A52264 2187 58 must must MD A52264 2187 59 passe passe VB A52264 2187 60 thorow thorow VB A52264 2187 61 the the DT A52264 2187 62 point point NN A52264 2187 63 P p NN A52264 2187 64 , , , A52264 2187 65 to to TO A52264 2187 66 fall fall VB A52264 2187 67 so so RB A52264 2187 68 near near IN A52264 2187 69 the the DT A52264 2187 70 6 6 CD A52264 2187 71 of of IN A52264 2187 72 clock clock NN A52264 2187 73 hour hour NN A52264 2187 74 , , , A52264 2187 75 as as IN A52264 2187 76 that that IN A52264 2187 77 there there EX A52264 2187 78 may may MD A52264 2187 79 be be VB A52264 2187 80 but but CC A52264 2187 81 one one CD A52264 2187 82 hour hour NN A52264 2187 83 placed place VBN A52264 2187 84 above above IN A52264 2187 85 it -PRON- PRP A52264 2187 86 , , , A52264 2187 87 if if IN A52264 2187 88 you -PRON- PRP A52264 2187 89 desire desire VBP A52264 2187 90 to to TO A52264 2187 91 have have VB A52264 2187 92 the the DT A52264 2187 93 hour hour NN A52264 2187 94 of of IN A52264 2187 95 11 11 CD A52264 2187 96 upon upon IN A52264 2187 97 the the DT A52264 2187 98 plane plane NN A52264 2187 99 , , , A52264 2187 100 which which WDT A52264 2187 101 is be VBZ A52264 2187 102 more more RBR A52264 2187 103 useful useful JJ A52264 2187 104 then then RB A52264 2187 105 4 4 CD A52264 2187 106 , , , A52264 2187 107 let let VB A52264 2187 108 P p PRP A52264 2187 109 be be VB A52264 2187 110 the the DT A52264 2187 111 center center NN A52264 2187 112 , , , A52264 2187 113 and and CC A52264 2187 114 with with IN A52264 2187 115 any any DT A52264 2187 116 Chord Chord NNP A52264 2187 117 ( ( -LRB- A52264 2187 118 the the DT A52264 2187 119 greater great JJR A52264 2187 120 the the DT A52264 2187 121 better well RBR A52264 2187 122 ) ) -RRB- A52264 2187 123 make make VB A52264 2187 124 two two CD A52264 2187 125 obscure obscure JJ A52264 2187 126 arches arch NNS A52264 2187 127 ; ; : A52264 2187 128 one one CD A52264 2187 129 above above IN A52264 2187 130 the the DT A52264 2187 131 horizontal horizontal JJ A52264 2187 132 line line NN A52264 2187 133 , , , A52264 2187 134 the the DT A52264 2187 135 other other JJ A52264 2187 136 under under IN A52264 2187 137 it -PRON- PRP A52264 2187 138 , , , A52264 2187 139 and and CC A52264 2187 140 with with IN A52264 2187 141 the the DT A52264 2187 142 same same JJ A52264 2187 143 Chord Chord NNP A52264 2187 144 set set VBD A52264 2187 145 off off RP A52264 2187 146 the the DT A52264 2187 147 arch arch NN A52264 2187 148 of of IN A52264 2187 149 51.70 51.70 CD A52264 2187 150 . . . A52264 2188 1 which which WDT A52264 2188 2 is be VBZ A52264 2188 3 the the DT A52264 2188 4 angle angle NN A52264 2188 5 between between IN A52264 2188 6 the the DT A52264 2188 7 substile substile NN A52264 2188 8 and and CC A52264 2188 9 horizon horizon NN A52264 2188 10 , , , A52264 2188 11 and and CC A52264 2188 12 is be VBZ A52264 2188 13 the the DT A52264 2188 14 complement complement NN A52264 2188 15 of of IN A52264 2188 16 the the DT A52264 2188 17 angle angle NN A52264 2188 18 between between IN A52264 2188 19 the the DT A52264 2188 20 substile substile NNP A52264 2188 21 and and CC A52264 2188 22 meridian meridian NNP A52264 2188 23 , , , A52264 2188 24 and and CC A52264 2188 25 set set VBD A52264 2188 26 it -PRON- PRP A52264 2188 27 from from IN A52264 2188 28 V v NN A52264 2188 29 to to IN A52264 2188 30 T t NN A52264 2188 31 both both DT A52264 2188 32 wayes waye NNS A52264 2188 33 , , , A52264 2188 34 then then RB A52264 2188 35 draw draw VB A52264 2188 36 the the DT A52264 2188 37 streight streight JJ A52264 2188 38 line line NN A52264 2188 39 TPT TPT NNP A52264 2188 40 , , , A52264 2188 41 which which WDT A52264 2188 42 shall shall MD A52264 2188 43 be be VB A52264 2188 44 the the DT A52264 2188 45 substile substile NN A52264 2188 46 of of IN A52264 2188 47 this this DT A52264 2188 48 Diall Diall NNP A52264 2188 49 . . . A52264 2189 1 Which which WDT A52264 2189 2 is be VBZ A52264 2189 3 5 5 CD A52264 2189 4 inches inch NNS A52264 2189 5 , , , A52264 2189 6 and and CC A52264 2189 7 66 66 CD A52264 2189 8 hundred hundred CD A52264 2189 9 parts part NNS A52264 2189 10 for for IN A52264 2189 11 the the DT A52264 2189 12 distance distance NN A52264 2189 13 of of IN A52264 2189 14 11 11 CD A52264 2189 15 a a DT A52264 2189 16 clock clock NN A52264 2189 17 from from IN A52264 2189 18 the the DT A52264 2189 19 point point NN A52264 2189 20 H h NN A52264 2189 21 , , , A52264 2189 22 and and CC A52264 2189 23 will will MD A52264 2189 24 be be VB A52264 2189 25 the the DT A52264 2189 26 same same JJ A52264 2189 27 with with IN A52264 2189 28 those those DT A52264 2189 29 points point NNS A52264 2189 30 set set VBN A52264 2189 31 off off RP A52264 2189 32 by by IN A52264 2189 33 the the DT A52264 2189 34 natural natural JJ A52264 2189 35 tangents tangent NNS A52264 2189 36 in in IN A52264 2189 37 the the DT A52264 2189 38 Table table NN A52264 2189 39 . . . A52264 2190 1 Having have VBG A52264 2190 2 done do VBN A52264 2190 3 with with IN A52264 2190 4 this this DT A52264 2190 5 Equinoctiall Equinoctiall NNP A52264 2190 6 , , , A52264 2190 7 you -PRON- PRP A52264 2190 8 must must MD A52264 2190 9 do do VB A52264 2190 10 the the DT A52264 2190 11 like like UH A52264 2190 12 with with IN A52264 2190 13 another another DT A52264 2190 14 : : : A52264 2190 15 to to TO A52264 2190 16 finde finde VB A52264 2190 17 the the DT A52264 2190 18 place place NN A52264 2190 19 whereof whereof NNP A52264 2190 20 , , , A52264 2190 21 it -PRON- PRP A52264 2190 22 will will MD A52264 2190 23 be be VB A52264 2190 24 necessary necessary JJ A52264 2190 25 first first RB A52264 2190 26 to to TO A52264 2190 27 know know VB A52264 2190 28 the the DT A52264 2190 29 length length NN A52264 2190 30 of of IN A52264 2190 31 the the DT A52264 2190 32 whole whole JJ A52264 2190 33 line line NN A52264 2190 34 from from IN A52264 2190 35 H h NN A52264 2190 36 the the DT A52264 2190 37 Equinoctial equinoctial NN A52264 2190 38 to to IN A52264 2190 39 the the DT A52264 2190 40 center center NN A52264 2190 41 of of IN A52264 2190 42 the the DT A52264 2190 43 Diall Diall NNP A52264 2190 44 in in IN A52264 2190 45 parts part NNS A52264 2190 46 of of IN A52264 2190 47 the the DT A52264 2190 48 perpendicular perpendicular JJ A52264 2190 49 stile stile NN A52264 2190 50 PO PO NNP A52264 2190 51 , , , A52264 2190 52 if if IN A52264 2190 53 you -PRON- PRP A52264 2190 54 will will MD A52264 2190 55 work work VB A52264 2190 56 by by IN A52264 2190 57 the the DT A52264 2190 58 scale scale NN A52264 2190 59 of of IN A52264 2190 60 inches inch NNS A52264 2190 61 , , , A52264 2190 62 or or CC A52264 2190 63 else else RB A52264 2190 64 the the DT A52264 2190 65 length length NN A52264 2190 66 in in IN A52264 2190 67 natural natural JJ A52264 2190 68 tangents tangent NNS A52264 2190 69 , , , A52264 2190 70 if if IN A52264 2190 71 you -PRON- PRP A52264 2190 72 will will MD A52264 2190 73 use use VB A52264 2190 74 a a DT A52264 2190 75 diagonall diagonall NN A52264 2190 76 Scale scale NN A52264 2190 77 : : : A52264 2190 78 first first RB A52264 2190 79 therefore therefore RB A52264 2190 80 , , , A52264 2190 81 to to TO A52264 2190 82 finde finde VB A52264 2190 83 the the DT A52264 2190 84 length length NN A52264 2190 85 thereof thereof RB A52264 2190 86 in in IN A52264 2190 87 inch inch NN A52264 2190 88 - - HYPH A52264 2190 89 measure measure NN A52264 2190 90 , , , A52264 2190 91 we -PRON- PRP A52264 2190 92 have have VBP A52264 2190 93 given give VBN A52264 2190 94 in in IN A52264 2190 95 the the DT A52264 2190 96 right right NN A52264 2190 97 angled angle VBN A52264 2190 98 plain plain JJ A52264 2190 99 triangle triangle NN A52264 2190 100 HOP HOP NNP A52264 2190 101 , , , A52264 2190 102 the the DT A52264 2190 103 base base NN A52264 2190 104 OP OP NNP A52264 2190 105 , , , A52264 2190 106 and and CC A52264 2190 107 the the DT A52264 2190 108 angle angle NN A52264 2190 109 at at IN A52264 2190 110 O o NN A52264 2190 111 to to TO A52264 2190 112 finde finde NNP A52264 2190 113 HP HP NNP A52264 2190 114 , , , A52264 2190 115 and and CC A52264 2190 116 in in IN A52264 2190 117 the the DT A52264 2190 118 triangle triangle NN A52264 2190 119 OP OP NNP A52264 2190 120 center center NN A52264 2190 121 . . . A52264 2191 1 We -PRON- PRP A52264 2191 2 have have VBP A52264 2191 3 given give VBN A52264 2191 4 the the DT A52264 2191 5 perpendicular perpendicular JJ A52264 2191 6 OP op NN A52264 2191 7 , , , A52264 2191 8 and and CC A52264 2191 9 the the DT A52264 2191 10 angle angle NN A52264 2191 11 PO PO NNP A52264 2191 12 center center NN A52264 2191 13 the the DT A52264 2191 14 complement complement NN A52264 2191 15 of of IN A52264 2191 16 the the DT A52264 2191 17 former former JJ A52264 2191 18 , , , A52264 2191 19 to to IN A52264 2191 20 finde finde NNP A52264 2191 21 H H NNP A52264 2191 22 center center NN A52264 2191 23 : : : A52264 2191 24 wherefore wherefore NN A52264 2191 25 , , , A52264 2191 26 by by IN A52264 2191 27 the the DT A52264 2191 28 first first JJ A52264 2191 29 case case NN A52264 2191 30 of of IN A52264 2191 31 right right JJ A52264 2191 32 angled angle VBN A52264 2191 33 plain plain JJ A52264 2191 34 triangles triangle NNS A52264 2191 35 : : : A52264 2191 36 As as IN A52264 2191 37 the the DT A52264 2191 38 Radius Radius NNP A52264 2191 39 90 90 CD A52264 2191 40 10.000000 10.000000 CD A52264 2191 41 Is be VBZ A52264 2191 42 to to IN A52264 2191 43 the the DT A52264 2191 44 base base NN A52264 2191 45 OP op NN A52264 2191 46 206 206 CD A52264 2191 47 ; ; : A52264 2191 48 2.313867 2.313867 CD A52264 2191 49 So so RB A52264 2191 50 is be VBZ A52264 2191 51 the the DT A52264 2191 52 tang tang NNP A52264 2191 53 . . . A52264 2192 1 of of IN A52264 2192 2 HOP HOP NNP A52264 2192 3 3.97 3.97 CD A52264 2192 4 . . . A52264 2193 1 8.841364 8.841364 CD A52264 2193 2         _SP A52264 2193 3 To to IN A52264 2193 4 the the DT A52264 2193 5 perpendicular perpendicular JJ A52264 2193 6 PH14 PH14 NNP A52264 2193 7 . . . A52264 2194 1 1.155231 1.155231 CD A52264 2194 2 Again again RB A52264 2194 3 , , , A52264 2194 4 As as IN A52264 2194 5 the the DT A52264 2194 6 Radius Radius NNP A52264 2194 7 90 90 CD A52264 2194 8 , , , A52264 2194 9 10.000000 10.000000 CD A52264 2194 10 Is be VBZ A52264 2194 11 to to IN A52264 2194 12 the the DT A52264 2194 13 perpend perpend NN A52264 2194 14 . . . A52264 2195 1 OP op NN A52264 2195 2 206 206 CD A52264 2195 3 , , , A52264 2195 4 2.313867 2.313867 CD A52264 2195 5 So so RB A52264 2195 6 is be VBZ A52264 2195 7 the the DT A52264 2195 8 tang tang NNP A52264 2195 9 . . . A52264 2196 1 PO po NN A52264 2196 2 center center NN A52264 2196 3 86.3 86.3 CD A52264 2196 4 . . . A52264 2197 1 11.158636 11.158636 CD A52264 2197 2         _SP A52264 2197 3 To to IN A52264 2197 4 the the DT A52264 2197 5 base base NN A52264 2197 6 P p NN A52264 2197 7 center center NN A52264 2197 8 2972 2972 CD A52264 2197 9 3.472403 3.472403 CD A52264 2197 10 Adde Adde NNP A52264 2197 11 the the DT A52264 2197 12 two two CD A52264 2197 13 lines line NNS A52264 2197 14 of of IN A52264 2197 15 014 014 CD A52264 2197 16 and and CC A52264 2197 17 2972 2972 CD A52264 2197 18 together together RB A52264 2197 19 , , , A52264 2197 20 and and CC A52264 2197 21 you -PRON- PRP A52264 2197 22 have have VBP A52264 2197 23 the the DT A52264 2197 24 whole whole JJ A52264 2197 25 line line NN A52264 2197 26 H h NN A52264 2197 27 center center NN A52264 2197 28 2986 2986 CD A52264 2197 29 in in IN A52264 2197 30 parts part NNS A52264 2197 31 of of IN A52264 2197 32 the the DT A52264 2197 33 Radius Radius NNP A52264 2197 34 PO PO NNP A52264 2197 35 , , , A52264 2197 36 viz viz NN A52264 2197 37 . . . A52264 2198 1 29 29 CD A52264 2198 2 inches inch NNS A52264 2198 3 , , , A52264 2198 4 and and CC A52264 2198 5 86 86 CD A52264 2198 6 parts part NNS A52264 2198 7 ; ; : A52264 2198 8 out out IN A52264 2198 9 of of IN A52264 2198 10 this this DT A52264 2198 11 line line NN A52264 2198 12 abate abate VB A52264 2198 13 what what WP A52264 2198 14 parts part NNS A52264 2198 15 you -PRON- PRP A52264 2198 16 will will MD A52264 2198 17 , , , A52264 2198 18 suppose suppose VB A52264 2198 19 343 343 CD A52264 2198 20 , , , A52264 2198 21 that that RB A52264 2198 22 is is RB A52264 2198 23 , , , A52264 2198 24 3 3 CD A52264 2198 25 inches inch NNS A52264 2198 26 and and CC A52264 2198 27 43 43 CD A52264 2198 28 parts part NNS A52264 2198 29 , , , A52264 2198 30 and and CC A52264 2198 31 then then RB A52264 2198 32 the the DT A52264 2198 33 remainer remainer NN A52264 2198 34 will will MD A52264 2198 35 be be VB A52264 2198 36 2643 2643 CD A52264 2198 37 . . . A52264 2199 1 Now now RB A52264 2199 2 if if IN A52264 2199 3 you -PRON- PRP A52264 2199 4 set set VBP A52264 2199 5 343 343 CD A52264 2199 6 from from IN A52264 2199 7 H h NN A52264 2199 8 to to IN A52264 2199 9 I -PRON- PRP A52264 2199 10 , , , A52264 2199 11 the the DT A52264 2199 12 triangle triangle NN A52264 2199 13 IO IO NNP A52264 2199 14 center center NN A52264 2199 15 will will MD A52264 2199 16 be be VB A52264 2199 17 equiangled equiangle VBN A52264 2199 18 with with IN A52264 2199 19 the the DT A52264 2199 20 former former JJ A52264 2199 21 , , , A52264 2199 22 and and CC A52264 2199 23 I -PRON- PRP A52264 2199 24 center center VBP A52264 2199 25 being be VBG A52264 2199 26 given give VBN A52264 2199 27 , , , A52264 2199 28 to to IN A52264 2199 29 finde finde NNP A52264 2199 30 LO LO NNP A52264 2199 31 , , , A52264 2199 32 the the DT A52264 2199 33 proportion proportion NN A52264 2199 34 is be VBZ A52264 2199 35 ; ; : A52264 2199 36 As as IN A52264 2199 37 H h NN A52264 2199 38 center center VBP A52264 2199 39 the the DT A52264 2199 40 first first JJ A52264 2199 41 base base NN A52264 2199 42 2986 2986 CD A52264 2199 43 , , , A52264 2199 44 co co NNP A52264 2199 45 . . . A52264 2200 1 ar ar NNP A52264 2200 2 . . . A52264 2201 1 6.524911 6.524911 CD A52264 2201 2 Is be VBZ A52264 2201 3 to to IN A52264 2201 4 HO HO NNP A52264 2201 5 , , , A52264 2201 6 the the DT A52264 2201 7 first first JJ A52264 2201 8 perpend perpend NN A52264 2201 9 . . . A52264 2202 1 206 206 CD A52264 2202 2 . . . A52264 2203 1 2.313867 2.313867 CD A52264 2203 2 So so RB A52264 2203 3 is be VBZ A52264 2203 4 I -PRON- PRP A52264 2203 5 center center VBP A52264 2203 6 the the DT A52264 2203 7 2d 2d CD A52264 2203 8 . . . A52264 2204 1 base base NNP A52264 2204 2 2643 2643 CD A52264 2204 3 , , , A52264 2204 4 3.422097 3.422097 CD A52264 2204 5         _SP A52264 2204 6 To to IN A52264 2204 7 IO IO NNP A52264 2204 8 the the DT A52264 2204 9 2d 2d CD A52264 2204 10 . . . A52264 2205 1 perpend perpend VB A52264 2205 2 . . . A52264 2206 1 182 182 CD A52264 2206 2 , , , A52264 2206 3 2.260875 2.260875 CD A52264 2206 4 Having have VBG A52264 2206 5 thus thus RB A52264 2206 6 found find VBN A52264 2206 7 the the DT A52264 2206 8 length length NN A52264 2206 9 of of IN A52264 2206 10 IO IO NNP A52264 2206 11 to to TO A52264 2206 12 be be VB A52264 2206 13 one one CD A52264 2206 14 inch inch NN A52264 2206 15 , , , A52264 2206 16 and and CC A52264 2206 17 82 82 CD A52264 2206 18 parts part NNS A52264 2206 19 ; ; : A52264 2206 20 make make VBP A52264 2206 21 that that IN A52264 2206 22 the the DT A52264 2206 23 Radius Radius NNP A52264 2206 24 , , , A52264 2206 25 and and CC A52264 2206 26 then then RB A52264 2206 27 NT4 NT4 NNP A52264 2206 28 shall shall MD A52264 2206 29 be be VB A52264 2206 30 a a DT A52264 2206 31 tangent tangent JJ A52264 2206 32 line line NN A52264 2206 33 thereunto thereunto NNS A52264 2206 34 , , , A52264 2206 35 upon upon IN A52264 2206 36 which which WDT A52264 2206 37 , , , A52264 2206 38 according accord VBG A52264 2206 39 to to IN A52264 2206 40 this this DT A52264 2206 41 new new JJ A52264 2206 42 Radius Radius NNP A52264 2206 43 , , , A52264 2206 44 set set VBN A52264 2206 45 off off RP A52264 2206 46 the the DT A52264 2206 47 hour hour NN A52264 2206 48 - - HYPH A52264 2206 49 distances distance NNS A52264 2206 50 before before IN A52264 2206 51 found find VBN A52264 2206 52 , , , A52264 2206 53 and and CC A52264 2206 54 so so RB A52264 2206 55 have have VBP A52264 2206 56 you -PRON- PRP A52264 2206 57 2 2 CD A52264 2206 58 pricks prick NNS A52264 2206 59 , , , A52264 2206 60 by by IN A52264 2206 61 which which WDT A52264 2206 62 you -PRON- PRP A52264 2206 63 may may MD A52264 2206 64 draw draw VB A52264 2206 65 the the DT A52264 2206 66 height height NN A52264 2206 67 of of IN A52264 2206 68 the the DT A52264 2206 69 stile stile NN A52264 2206 70 OO OO NNP A52264 2206 71 , , , A52264 2206 72 and and CC A52264 2206 73 the the DT A52264 2206 74 hour hour NN A52264 2206 75 - - HYPH A52264 2206 76 lines line NNS A52264 2206 77 for for IN A52264 2206 78 the the DT A52264 2206 79 Dial Dial NNP A52264 2206 80 . . . A52264 2207 1 The the DT A52264 2207 2 length length NN A52264 2207 3 of of IN A52264 2207 4 H h NN A52264 2207 5 center center NN A52264 2207 6 in in IN A52264 2207 7 natural natural JJ A52264 2207 8 tangents tangent NNS A52264 2207 9 , , , A52264 2207 10 is be VBZ A52264 2207 11 thus thus RB A52264 2207 12 found find VBN A52264 2207 13 , , , A52264 2207 14 HP HP NNP A52264 2207 15 069 069 CD A52264 2207 16 is be VBZ A52264 2207 17 the the DT A52264 2207 18 tangent tangent JJ A52264 2207 19 line line NN A52264 2207 20 of of IN A52264 2207 21 the the DT A52264 2207 22 angle angle NN A52264 2207 23 HOP HOP NNP A52264 2207 24 3 3 CD A52264 2207 25 deg deg NN A52264 2207 26 . . . A52264 2208 1 97 97 CD A52264 2208 2 min min NN A52264 2208 3 . . . A52264 2209 1 and and CC A52264 2209 2 by by IN A52264 2209 3 the the DT A52264 2209 4 same same JJ A52264 2209 5 reason reason NN A52264 2209 6 P p NN A52264 2209 7 center center NN A52264 2209 8 14421 14421 CD A52264 2209 9 is be VBZ A52264 2209 10 the the DT A52264 2209 11 tangent tangent JJ A52264 2209 12 line line NN A52264 2209 13 of of IN A52264 2209 14 PO po NN A52264 2209 15 center center NN A52264 2209 16 86.3 86.3 CD A52264 2209 17 . . . A52264 2210 1 the the DT A52264 2210 2 complement complement NN A52264 2210 3 of of IN A52264 2210 4 the the DT A52264 2210 5 other other JJ A52264 2210 6 , , , A52264 2210 7 and and CC A52264 2210 8 therefore therefore RB A52264 2210 9 these these DT A52264 2210 10 two two CD A52264 2210 11 tangents tangent NNS A52264 2210 12 added add VBN A52264 2210 13 together together RB A52264 2210 14 do do VBP A52264 2210 15 make make VB A52264 2210 16 14490 14490 CD A52264 2210 17 , , , A52264 2210 18 the the DT A52264 2210 19 length length NN A52264 2210 20 of of IN A52264 2210 21 the the DT A52264 2210 22 substile substile NN A52264 2210 23 H h NN A52264 2210 24 center center NN A52264 2210 25 , , , A52264 2210 26 that that RB A52264 2210 27 is is RB A52264 2210 28 , , , A52264 2210 29 14 14 CD A52264 2210 30 times time NNS A52264 2210 31 the the DT A52264 2210 32 Radius Radius NNP A52264 2210 33 , , , A52264 2210 34 and and CC A52264 2210 35 49 49 CD A52264 2210 36 parts part NNS A52264 2210 37 , , , A52264 2210 38 out out IN A52264 2210 39 of of IN A52264 2210 40 which which WDT A52264 2210 41 substract substract VBP A52264 2210 42 what what WDT A52264 2210 43 number number NN A52264 2210 44 of of IN A52264 2210 45 parts part NNS A52264 2210 46 you -PRON- PRP A52264 2210 47 will will MD A52264 2210 48 , , , A52264 2210 49 the the DT A52264 2210 50 rest rest NN A52264 2210 51 is be VBZ A52264 2210 52 the the DT A52264 2210 53 distance distance NN A52264 2210 54 from from IN A52264 2210 55 the the DT A52264 2210 56 second second JJ A52264 2210 57 Equinoctial Equinoctial NNP A52264 2210 58 to to IN A52264 2210 59 the the DT A52264 2210 60 center center NN A52264 2210 61 in in IN A52264 2210 62 natural natural JJ A52264 2210 63 tangents tangent NNS A52264 2210 64 ; ; : A52264 2210 65 suppose suppose VB A52264 2210 66 158 158 CD A52264 2210 67 to to TO A52264 2210 68 be be VB A52264 2210 69 substracted substracte VBN A52264 2210 70 , , , A52264 2210 71 that that RB A52264 2210 72 is is RB A52264 2210 73 , , , A52264 2210 74 one one CD A52264 2210 75 radius radius NN A52264 2210 76 , , , A52264 2210 77 and and CC A52264 2210 78 58 58 CD A52264 2210 79 parts part NNS A52264 2210 80 , , , A52264 2210 81 which which WDT A52264 2210 82 set set VBD A52264 2210 83 from from IN A52264 2210 84 H h NN A52264 2210 85 to to IN A52264 2210 86 T T NNP A52264 2210 87 , , , A52264 2210 88 in in IN A52264 2210 89 proportion proportion NN A52264 2210 90 to to IN A52264 2210 91 the the DT A52264 2210 92 Radius Radius NNP A52264 2210 93 HO HO NNP A52264 2210 94 , , , A52264 2210 95 and and CC A52264 2210 96 from from IN A52264 2210 97 the the DT A52264 2210 98 point point NN A52264 2210 99 T T NNP A52264 2210 100 draw draw VBP A52264 2210 101 the the DT A52264 2210 102 line line NN A52264 2210 103 NT4 NT4 NNP A52264 2210 104 parallel parallel NN A52264 2210 105 to to IN A52264 2210 106 the the DT A52264 2210 107 former former JJ A52264 2210 108 Equinoctial Equinoctial NNP A52264 2210 109 , , , A52264 2210 110 and and CC A52264 2210 111 there there EX A52264 2210 112 will will MD A52264 2210 113 remain remain VB A52264 2210 114 from from IN A52264 2210 115 T T NNP A52264 2210 116 to to IN A52264 2210 117 the the DT A52264 2210 118 center center NN A52264 2210 119 1291 1291 CD A52264 2210 120 . . . A52264 2211 1 Now now RB A52264 2211 2 to to TO A52264 2211 3 finde finde VB A52264 2211 4 the the DT A52264 2211 5 length length NN A52264 2211 6 of of IN A52264 2211 7 LO LO NNP A52264 2211 8 , , , A52264 2211 9 the the DT A52264 2211 10 proportion proportion NN A52264 2211 11 , , , A52264 2211 12 by by IN A52264 2211 13 the the DT A52264 2211 14 16 16 CD A52264 2211 15 th th NN A52264 2211 16 . . . A52264 2212 1 of of IN A52264 2212 2 the the DT A52264 2212 3 second second JJ A52264 2212 4 , , , A52264 2212 5 will will MD A52264 2212 6 be be VB A52264 2212 7 As as IN A52264 2212 8 H H NNP A52264 2212 9 center center NN A52264 2212 10 1449 1449 CD A52264 2212 11 , , , A52264 2212 12 co co NNP A52264 2212 13 . . . A52264 2213 1 ar ar NNP A52264 2213 2 . . . A52264 2214 1 6.838932 6.838932 CD A52264 2214 2 Is be VBZ A52264 2214 3 to to TO A52264 2214 4 HO HO NNP A52264 2214 5 321 321 CD A52264 2214 6 , , , A52264 2214 7 2.506505 2.506505 CD A52264 2214 8 So so RB A52264 2214 9 is be VBZ A52264 2214 10 T T NNP A52264 2214 11 center center NN A52264 2214 12 1291 1291 CD A52264 2214 13 , , , A52264 2214 14 3.110926 3.110926 CD A52264 2214 15         _SP A52264 2214 16 To to IN A52264 2214 17 TO to IN A52264 2214 18 286 286 CD A52264 2214 19 , , , A52264 2214 20 2.456363 2.456363 CD A52264 2214 21 Now now RB A52264 2214 22 then then RB A52264 2214 23 if if IN A52264 2214 24 you -PRON- PRP A52264 2214 25 set set VBP A52264 2214 26 286 286 CD A52264 2214 27 from from IN A52264 2214 28 T t NN A52264 2214 29 to to IN A52264 2214 30 O o NN A52264 2214 31 in in IN A52264 2214 32 the the DT A52264 2214 33 same same JJ A52264 2214 34 measure measure NN A52264 2214 35 , , , A52264 2214 36 from from IN A52264 2214 37 which which WDT A52264 2214 38 you -PRON- PRP A52264 2214 39 took take VBD A52264 2214 40 HO HO NNP A52264 2214 41 , , , A52264 2214 42 then then RB A52264 2214 43 may may MD A52264 2214 44 you -PRON- PRP A52264 2214 45 draw draw VB A52264 2214 46 ONO ONO NNP A52264 2214 47 , , , A52264 2214 48 and and CC A52264 2214 49 the the DT A52264 2214 50 tangents tangent NNS A52264 2214 51 in in IN A52264 2214 52 the the DT A52264 2214 53 Table table NN A52264 2214 54 set set VBN A52264 2214 55 upon upon IN A52264 2214 56 the the DT A52264 2214 57 line line NN A52264 2214 58 NT NT NNP A52264 2214 59 in in IN A52264 2214 60 proportion proportion NN A52264 2214 61 to to IN A52264 2214 62 this this DT A52264 2214 63 new new JJ A52264 2214 64 radius radius NN A52264 2214 65 TO to IN A52264 2214 66 , , , A52264 2214 67 you -PRON- PRP A52264 2214 68 shall shall MD A52264 2214 69 have have VB A52264 2214 70 two two CD A52264 2214 71 pricks prick NNS A52264 2214 72 , , , A52264 2214 73 by by IN A52264 2214 74 which which WDT A52264 2214 75 to to TO A52264 2214 76 draw draw VB A52264 2214 77 the the DT A52264 2214 78 hour hour NN A52264 2214 79 - - HYPH A52264 2214 80 lines line NNS A52264 2214 81 , , , A52264 2214 82 as as IN A52264 2214 83 before before RB A52264 2214 84 . . . A52264 2215 1 Probl probl VB A52264 2215 2 . . . A52264 2216 1 8 8 LS A52264 2216 2 . . . A52264 2217 1 To to TO A52264 2217 2 draw draw VB A52264 2217 3 the the DT A52264 2217 4 hour hour NN A52264 2217 5 lines line NNS A52264 2217 6 upon upon IN A52264 2217 7 any any DT A52264 2217 8 direct direct JJ A52264 2217 9 plane plane NN A52264 2217 10 , , , A52264 2217 11 reclining recline VBG A52264 2217 12 or or CC A52264 2217 13 inclining incline VBG A52264 2217 14 East East NNP A52264 2217 15 or or CC A52264 2217 16 West West NNP A52264 2217 17 . . . A52264 2218 1 HItherto HItherto VBN A52264 2218 2 we -PRON- PRP A52264 2218 3 have have VBP A52264 2218 4 only only RB A52264 2218 5 spoken speak VBN A52264 2218 6 of of IN A52264 2218 7 such such JJ A52264 2218 8 planes plane NNS A52264 2218 9 , , , A52264 2218 10 as as IN A52264 2218 11 are be VBP A52264 2218 12 either either CC A52264 2218 13 parallel parallel JJ A52264 2218 14 or or CC A52264 2218 15 perpendicular perpendicular JJ A52264 2218 16 to to IN A52264 2218 17 the the DT A52264 2218 18 horizon horizon NN A52264 2218 19 , , , A52264 2218 20 all all DT A52264 2218 21 which which WDT A52264 2218 22 except except IN A52264 2218 23 the the DT A52264 2218 24 horizontal horizontal JJ A52264 2218 25 , , , A52264 2218 26 lie lie VBP A52264 2218 27 in in IN A52264 2218 28 the the DT A52264 2218 29 plane plane NN A52264 2218 30 of of IN A52264 2218 31 some some DT A52264 2218 32 azimuth azimuth NN A52264 2218 33 or or CC A52264 2218 34 other other JJ A52264 2218 35 . . . A52264 2219 1 The the DT A52264 2219 2 rest rest NN A52264 2219 3 that that WDT A52264 2219 4 follow follow NN A52264 2219 5 are be VBP A52264 2219 6 reclining recline VBG A52264 2219 7 or or CC A52264 2219 8 inclining incline VBG A52264 2219 9 planes plane NNS A52264 2219 10 , , , A52264 2219 11 according accord VBG A52264 2219 12 to to IN A52264 2219 13 the the DT A52264 2219 14 respect respect NN A52264 2219 15 of of IN A52264 2219 16 the the DT A52264 2219 17 upper upper JJ A52264 2219 18 or or CC A52264 2219 19 nether nether JJ A52264 2219 20 faces face NNS A52264 2219 21 of of IN A52264 2219 22 the the DT A52264 2219 23 planes plane NNS A52264 2219 24 , , , A52264 2219 25 in in IN A52264 2219 26 those those DT A52264 2219 27 that that DT A52264 2219 28 recline recline JJS A52264 2219 29 , , , A52264 2219 30 the the DT A52264 2219 31 base base NN A52264 2219 32 is be VBZ A52264 2219 33 a a DT A52264 2219 34 line line NN A52264 2219 35 in in IN A52264 2219 36 the the DT A52264 2219 37 plane plane NN A52264 2219 38 , , , A52264 2219 39 parallel parallel JJ A52264 2219 40 to to IN A52264 2219 41 the the DT A52264 2219 42 Horizon Horizon NNP A52264 2219 43 or or CC A52264 2219 44 Meridian Meridian NNP A52264 2219 45 , , , A52264 2219 46 and and CC A52264 2219 47 alwayes alwayes NNP A52264 2219 48 scituate scituate NNP A52264 2219 49 in in IN A52264 2219 50 some some DT A52264 2219 51 azimuth azimuth NN A52264 2219 52 or or CC A52264 2219 53 other other JJ A52264 2219 54 : : : A52264 2219 55 thus thus RB A52264 2219 56 the the DT A52264 2219 57 base base NN A52264 2219 58 of of IN A52264 2219 59 the the DT A52264 2219 60 East East NNP A52264 2219 61 and and CC A52264 2219 62 West West NNP A52264 2219 63 reclining recline VBG A52264 2219 64 planes plane NNS A52264 2219 65 lie lie VBP A52264 2219 66 in in IN A52264 2219 67 the the DT A52264 2219 68 Meridian Meridian NNP A52264 2219 69 , , , A52264 2219 70 or or CC A52264 2219 71 South South NNP A52264 2219 72 and and CC A52264 2219 73 North North NNP A52264 2219 74 azimuth azimuth NN A52264 2219 75 , , , A52264 2219 76 and and CC A52264 2219 77 the the DT A52264 2219 78 poles pole NNS A52264 2219 79 thereof thereof RB A52264 2219 80 in in IN A52264 2219 81 the the DT A52264 2219 82 prime prime JJ A52264 2219 83 vertical vertical NN A52264 2219 84 , , , A52264 2219 85 but but CC A52264 2219 86 the the DT A52264 2219 87 plane plane NN A52264 2219 88 it -PRON- PRP A52264 2219 89 self self VBP A52264 2219 90 in in IN A52264 2219 91 some some DT A52264 2219 92 circle circle NN A52264 2219 93 of of IN A52264 2219 94 position position NN A52264 2219 95 ( ( -LRB- A52264 2219 96 as as IN A52264 2219 97 it -PRON- PRP A52264 2219 98 is be VBZ A52264 2219 99 Astrologically astrologically RB A52264 2219 100 taken take VBN A52264 2219 101 ) ) -RRB- A52264 2219 102 which which WDT A52264 2219 103 is be VBZ A52264 2219 104 a a DT A52264 2219 105 great great JJ A52264 2219 106 circle circle NN A52264 2219 107 of of IN A52264 2219 108 the the DT A52264 2219 109 Sphere Sphere NNP A52264 2219 110 , , , A52264 2219 111 passing pass VBG A52264 2219 112 by by IN A52264 2219 113 the the DT A52264 2219 114 North North NNP A52264 2219 115 or or CC A52264 2219 116 South South NNP A52264 2219 117 intersections intersection NNS A52264 2219 118 of of IN A52264 2219 119 the the DT A52264 2219 120 meridian meridian NNP A52264 2219 121 and and CC A52264 2219 122 horizon horizon NN A52264 2219 123 , , , A52264 2219 124 and and CC A52264 2219 125 falling fall VBG A52264 2219 126 East East NNP A52264 2219 127 or or CC A52264 2219 128 West West NNP A52264 2219 129 from from IN A52264 2219 130 the the DT A52264 2219 131 Zenith Zenith NNP A52264 2219 132 upon upon IN A52264 2219 133 the the DT A52264 2219 134 prime prime JJ A52264 2219 135 vertical vertical NN A52264 2219 136 , , , A52264 2219 137 as as RB A52264 2219 138 much much RB A52264 2219 139 as as IN A52264 2219 140 the the DT A52264 2219 141 poles pole NNS A52264 2219 142 of of IN A52264 2219 143 the the DT A52264 2219 144 plane plane NN A52264 2219 145 are be VBP A52264 2219 146 elevated elevate VBN A52264 2219 147 and and CC A52264 2219 148 depressed depress VBN A52264 2219 149 above above IN A52264 2219 150 and and CC A52264 2219 151 under under IN A52264 2219 152 the the DT A52264 2219 153 horizon horizon NN A52264 2219 154 . . . A52264 2220 1 And and CC A52264 2220 2 this this DT A52264 2220 3 kinde kinde NNP A52264 2220 4 of of IN A52264 2220 5 plane plane NN A52264 2220 6 rightly rightly RB A52264 2220 7 conceived conceive VBD A52264 2220 8 and and CC A52264 2220 9 represented represent VBN A52264 2220 10 in in IN A52264 2220 11 the the DT A52264 2220 12 fundamental fundamental JJ A52264 2220 13 Scheme Scheme NNP A52264 2220 14 by by IN A52264 2220 15 NOS NOS NNP A52264 2220 16 , , , A52264 2220 17 is be VBZ A52264 2220 18 no no DT A52264 2220 19 other other JJ A52264 2220 20 but but CC A52264 2220 21 an an DT A52264 2220 22 erect erect NN A52264 2220 23 declining decline VBG A52264 2220 24 plane plane NN A52264 2220 25 in in IN A52264 2220 26 any any DT A52264 2220 27 Countrey Countrey NNP A52264 2220 28 , , , A52264 2220 29 where where WRB A52264 2220 30 the the DT A52264 2220 31 pole pole NN A52264 2220 32 is be VBZ A52264 2220 33 elevated elevate VBN A52264 2220 34 the the DT A52264 2220 35 complement complement NN A52264 2220 36 of of IN A52264 2220 37 ours -PRON- PRP A52264 2220 38 : : : A52264 2220 39 for for IN A52264 2220 40 if if IN A52264 2220 41 you -PRON- PRP A52264 2220 42 consider consider VBP A52264 2220 43 the the DT A52264 2220 44 Sphere Sphere NNP A52264 2220 45 , , , A52264 2220 46 it -PRON- PRP A52264 2220 47 is be VBZ A52264 2220 48 apparent apparent JJ A52264 2220 49 , , , A52264 2220 50 that that IN A52264 2220 51 as as IN A52264 2220 52 all all PDT A52264 2220 53 the the DT A52264 2220 54 azimuths azimuth NNS A52264 2220 55 , , , A52264 2220 56 representing represent VBG A52264 2220 57 the the DT A52264 2220 58 decliners decliner NNS A52264 2220 59 , , , A52264 2220 60 do do VBP A52264 2220 61 crosse crosse VB A52264 2220 62 the the DT A52264 2220 63 prime prime JJ A52264 2220 64 vertical vertical NN A52264 2220 65 in in IN A52264 2220 66 the the DT A52264 2220 67 Zenith Zenith NNP A52264 2220 68 , , , A52264 2220 69 and and CC A52264 2220 70 fall fall VB A52264 2220 71 at at IN A52264 2220 72 right right JJ A52264 2220 73 angles angle NNS A52264 2220 74 upon upon IN A52264 2220 75 the the DT A52264 2220 76 horizon horizon NN A52264 2220 77 , , , A52264 2220 78 so so RB A52264 2220 79 do do VB A52264 2220 80 all all PDT A52264 2220 81 the the DT A52264 2220 82 circles circle NNS A52264 2220 83 of of IN A52264 2220 84 position position NN A52264 2220 85 , , , A52264 2220 86 representing represent VBG A52264 2220 87 the the DT A52264 2220 88 reclining reclining NN A52264 2220 89 and and CC A52264 2220 90 inclining incline VBG A52264 2220 91 East East NNP A52264 2220 92 or or CC A52264 2220 93 West West NNP A52264 2220 94 planes plane NNS A52264 2220 95 crosse crosse VBP A52264 2220 96 the the DT A52264 2220 97 horizon horizon NN A52264 2220 98 in in IN A52264 2220 99 the the DT A52264 2220 100 North North NNP A52264 2220 101 and and CC A52264 2220 102 South South NNP A52264 2220 103 points point NNS A52264 2220 104 of of IN A52264 2220 105 the the DT A52264 2220 106 Meridian Meridian NNP A52264 2220 107 , , , A52264 2220 108 and and CC A52264 2220 109 fall fall VB A52264 2220 110 at at IN A52264 2220 111 right right JJ A52264 2220 112 angles angle NNS A52264 2220 113 upon upon IN A52264 2220 114 the the DT A52264 2220 115 prime prime JJ A52264 2220 116 vertical vertical NN A52264 2220 117 . . . A52264 2221 1 From from IN A52264 2221 2 which which WDT A52264 2221 3 analogie analogie VBG A52264 2221 4 it -PRON- PRP A52264 2221 5 commeth commeth JJ A52264 2221 6 to to TO A52264 2221 7 passe passe NNP A52264 2221 8 , , , A52264 2221 9 that that IN A52264 2221 10 making make VBG A52264 2221 11 a a DT A52264 2221 12 Diall Diall NNP A52264 2221 13 declining decline VBG A52264 2221 14 30 30 CD A52264 2221 15 degr degr NN A52264 2221 16 . . . A52264 2222 1 from from IN A52264 2222 2 the the DT A52264 2222 3 Meridian Meridian NNP A52264 2222 4 , , , A52264 2222 5 it -PRON- PRP A52264 2222 6 shall shall MD A52264 2222 7 be be VB A52264 2222 8 the the DT A52264 2222 9 same same JJ A52264 2222 10 that that IN A52264 2222 11 a a DT A52264 2222 12 reclining recline VBG A52264 2222 13 30 30 CD A52264 2222 14 degr degr NN A52264 2222 15 . . . A52264 2223 1 from from IN A52264 2223 2 the the DT A52264 2223 3 Zenith Zenith NNP A52264 2223 4 , , , A52264 2223 5 and and CC A52264 2223 6 contrary contrary RB A52264 2223 7 , , , A52264 2223 8 onely onely RB A52264 2223 9 changing change VBG A52264 2223 10 the the DT A52264 2223 11 poles pole NNS A52264 2223 12 elevation elevation VBP A52264 2223 13 into into IN A52264 2223 14 the the DT A52264 2223 15 complement complement NN A52264 2223 16 thereof thereof RB A52264 2223 17 , , , A52264 2223 18 because because IN A52264 2223 19 the the DT A52264 2223 20 prime prime JJ A52264 2223 21 vertical vertical NN A52264 2223 22 in in IN A52264 2223 23 this this DT A52264 2223 24 case case NN A52264 2223 25 is be VBZ A52264 2223 26 supposed suppose VBN A52264 2223 27 to to TO A52264 2223 28 be be VB A52264 2223 29 the the DT A52264 2223 30 horizon horizon NN A52264 2223 31 , , , A52264 2223 32 above above IN A52264 2223 33 which which WDT A52264 2223 34 the the DT A52264 2223 35 pole pole NN A52264 2223 36 is be VBZ A52264 2223 37 alwayes alwayes NNP A52264 2223 38 elevated elevate VBD A52264 2223 39 the the DT A52264 2223 40 complement complement NN A52264 2223 41 of of IN A52264 2223 42 the the DT A52264 2223 43 height height NN A52264 2223 44 thereof thereof RB A52264 2223 45 above above IN A52264 2223 46 the the DT A52264 2223 47 horizon horizon NN A52264 2223 48 . . . A52264 2224 1 And and CC A52264 2224 2 therefore therefore RB A52264 2224 3 the the DT A52264 2224 4 poles pole NNS A52264 2224 5 elevation elevation NN A52264 2224 6 and and CC A52264 2224 7 the the DT A52264 2224 8 planes plane NNS A52264 2224 9 reclination reclination NN A52264 2224 10 being be VBG A52264 2224 11 given give VBN A52264 2224 12 , , , A52264 2224 13 which which WDT A52264 2224 14 for for IN A52264 2224 15 the the DT A52264 2224 16 one one NN A52264 2224 17 suppose suppose NN A52264 2224 18 to to TO A52264 2224 19 be be VB A52264 2224 20 , , , A52264 2224 21 as as IN A52264 2224 22 before before RB A52264 2224 23 , , , A52264 2224 24 51 51 CD A52264 2224 25 deg deg NN A52264 2224 26 . . . A52264 2225 1 53 53 CD A52264 2225 2 min min NN A52264 2225 3 . . . A52264 2226 1 and and CC A52264 2226 2 the the DT A52264 2226 3 other other JJ A52264 2226 4 , , , A52264 2226 5 that that RB A52264 2226 6 is is RB A52264 2226 7 , , , A52264 2226 8 the the DT A52264 2226 9 reclination reclination NN A52264 2226 10 35 35 CD A52264 2226 11 degrees degree NNS A52264 2226 12 towards towards IN A52264 2226 13 the the DT A52264 2226 14 West West NNP A52264 2226 15 , , , A52264 2226 16 we -PRON- PRP A52264 2226 17 must must MD A52264 2226 18 finde finde VB A52264 2226 19 ( ( -LRB- A52264 2226 20 as as IN A52264 2226 21 in in IN A52264 2226 22 all all DT A52264 2226 23 decliners decliner NNS A52264 2226 24 ) ) -RRB- A52264 2226 25 first first RB A52264 2226 26 the the DT A52264 2226 27 height height NN A52264 2226 28 of of IN A52264 2226 29 the the DT A52264 2226 30 pole pole NN A52264 2226 31 above above IN A52264 2226 32 the the DT A52264 2226 33 plane plane NN A52264 2226 34 , , , A52264 2226 35 which which WDT A52264 2226 36 in in IN A52264 2226 37 the the DT A52264 2226 38 fundamental fundamental JJ A52264 2226 39 diagram diagram NN A52264 2226 40 is be VBZ A52264 2226 41 PR pr NN A52264 2226 42 , , , A52264 2226 43 part part NN A52264 2226 44 of of IN A52264 2226 45 the the DT A52264 2226 46 meridian meridian NN A52264 2226 47 of of IN A52264 2226 48 the the DT A52264 2226 49 plane plane NN A52264 2226 50 between between IN A52264 2226 51 the the DT A52264 2226 52 Pole Pole NNP A52264 2226 53 of of IN A52264 2226 54 the the DT A52264 2226 55 world world NN A52264 2226 56 and and CC A52264 2226 57 the the DT A52264 2226 58 plane plane NN A52264 2226 59 . . . A52264 2227 1 2 2 LS A52264 2227 2 . . . A52264 2228 1 The the DT A52264 2228 2 distance distance NN A52264 2228 3 thereof thereof RB A52264 2228 4 from from IN A52264 2228 5 the the DT A52264 2228 6 meridian meridian NN A52264 2228 7 of of IN A52264 2228 8 the the DT A52264 2228 9 place place NN A52264 2228 10 , , , A52264 2228 11 which which WDT A52264 2228 12 is be VBZ A52264 2228 13 NR NR NNP A52264 2228 14 part part NN A52264 2228 15 of of IN A52264 2228 16 the the DT A52264 2228 17 plane plane NN A52264 2228 18 betwixt betwixt VBP A52264 2228 19 the the DT A52264 2228 20 substile substile NN A52264 2228 21 and and CC A52264 2228 22 the the DT A52264 2228 23 meridian meridian NNP A52264 2228 24 . . . A52264 2229 1 3 3 LS A52264 2229 2 . . . A52264 2230 1 The the DT A52264 2230 2 angle angle NN A52264 2230 3 betwixt betwixt VBP A52264 2230 4 the the DT A52264 2230 5 two two CD A52264 2230 6 meridians meridian NNS A52264 2230 7 NPR NPR NNP A52264 2230 8 , , , A52264 2230 9 by by IN A52264 2230 10 which which WDT A52264 2230 11 you -PRON- PRP A52264 2230 12 may may MD A52264 2230 13 calculate calculate VB A52264 2230 14 the the DT A52264 2230 15 hour hour NN A52264 2230 16 distances distance NNS A52264 2230 17 , , , A52264 2230 18 as as IN A52264 2230 19 in in IN A52264 2230 20 the the DT A52264 2230 21 decliners decliner NNS A52264 2230 22 . . . A52264 2231 1 First first RB A52264 2231 2 , , , A52264 2231 3 therefore therefore RB A52264 2231 4 in in IN A52264 2231 5 the the DT A52264 2231 6 supposed suppose VBN A52264 2231 7 triangle triangle NN A52264 2231 8 NPR NPR NNP A52264 2231 9 ( ( -LRB- A52264 2231 10 because because IN A52264 2231 11 you -PRON- PRP A52264 2231 12 know know VBP A52264 2231 13 not not RB A52264 2231 14 yet yet RB A52264 2231 15 where where WRB A52264 2231 16 R r NN A52264 2231 17 shall shall MD A52264 2231 18 fall fall VB A52264 2231 19 ) ) -RRB- A52264 2231 20 you -PRON- PRP A52264 2231 21 have have VBP A52264 2231 22 the the DT A52264 2231 23 right right JJ A52264 2231 24 angle angle NN A52264 2231 25 at at IN A52264 2231 26 R r NN A52264 2231 27 the the DT A52264 2231 28 side side NN A52264 2231 29 opposite opposite IN A52264 2231 30 PN PN NNP A52264 2231 31 51 51 CD A52264 2231 32 degr degr NN A52264 2231 33 . . . A52264 2232 1 53 53 CD A52264 2232 2 min min NN A52264 2232 3 . . . A52264 2233 1 and and CC A52264 2233 2 the the DT A52264 2233 3 angle angle NN A52264 2233 4 at at IN A52264 2233 5 N N NNP A52264 2233 6 , , , A52264 2233 7 whose whose WP$ A52264 2233 8 measure measure NN A52264 2233 9 is be VBZ A52264 2233 10 the the DT A52264 2233 11 reclination reclination NN A52264 2233 12 ZO ZO NNP A52264 2233 13 35 35 CD A52264 2233 14 degr degr NN A52264 2233 15 . . . A52264 2234 1 to to TO A52264 2234 2 finde finde NNP A52264 2234 3 the the DT A52264 2234 4 side side NN A52264 2234 5 PR PR NNP A52264 2234 6 , , , A52264 2234 7 the the DT A52264 2234 8 height height NN A52264 2234 9 of of IN A52264 2234 10 the the DT A52264 2234 11 stile stile NN A52264 2234 12 , , , A52264 2234 13 or or CC A52264 2234 14 poles pole NNS A52264 2234 15 elevation elevation VB A52264 2234 16 above above IN A52264 2234 17 the the DT A52264 2234 18 plane plane NN A52264 2234 19 , , , A52264 2234 20 wherefore wherefore VBD A52264 2234 21 , , , A52264 2234 22 by by IN A52264 2234 23 the the DT A52264 2234 24 eighth eighth JJ A52264 2234 25 case case NN A52264 2234 26 of of IN A52264 2234 27 right right JJ A52264 2234 28 angled angle VBN A52264 2234 29 spherical spherical JJ A52264 2234 30 triangles triangle NNS A52264 2234 31 , , , A52264 2234 32 the the DT A52264 2234 33 analogie analogie NN A52264 2234 34 is be VBZ A52264 2234 35 As as IN A52264 2234 36 the the DT A52264 2234 37 Radius Radius NNP A52264 2234 38 90 90 CD A52264 2234 39 , , , A52264 2234 40 10.000000 10.000000 CD A52264 2234 41 Is be VBZ A52264 2234 42 to to IN A52264 2234 43 the the DT A52264 2234 44 sine sine NN A52264 2234 45 of of IN A52264 2234 46 PN PN NNP A52264 2234 47 51.53 51.53 CD A52264 2234 48 . . . A52264 2235 1 9.893725 9.893725 CD A52264 2235 2 So so RB A52264 2235 3 is be VBZ A52264 2235 4 the the DT A52264 2235 5 sine sine JJ A52264 2235 6 PNR PNR NNP A52264 2235 7 35 35 CD A52264 2235 8 . . . A52264 2236 1 9.758591 9.758591 CD A52264 2236 2         _SP A52264 2236 3 To to IN A52264 2236 4 the the DT A52264 2236 5 sine sine NN A52264 2236 6 of of IN A52264 2236 7 the the DT A52264 2236 8 side side NN A52264 2236 9 PR PR NNP A52264 2236 10 26.69 26.69 CD A52264 2236 11 . . . A52264 2237 1 9.652316 9.652316 CD A52264 2237 2 Secondly secondly RB A52264 2237 3 , , , A52264 2237 4 you -PRON- PRP A52264 2237 5 may may MD A52264 2237 6 finde finde VB A52264 2237 7 the the DT A52264 2237 8 side side NN A52264 2237 9 NR NR NNP A52264 2237 10 , , , A52264 2237 11 which which WDT A52264 2237 12 is be VBZ A52264 2237 13 the the DT A52264 2237 14 distance distance NN A52264 2237 15 of of IN A52264 2237 16 the the DT A52264 2237 17 substile substile NN A52264 2237 18 from from IN A52264 2237 19 the the DT A52264 2237 20 meridian meridian NN A52264 2237 21 , , , A52264 2237 22 by by IN A52264 2237 23 the the DT A52264 2237 24 seventh seventh JJ A52264 2237 25 case case NN A52264 2237 26 of of IN A52264 2237 27 right right JJ A52264 2237 28 angled angle VBN A52264 2237 29 spherical spherical JJ A52264 2237 30 triangles triangle NNS A52264 2237 31 ; ; : A52264 2237 32 for for CC A52264 2237 33 As as IN A52264 2237 34 the the DT A52264 2237 35 Radius Radius NNP A52264 2237 36 90 90 CD A52264 2237 37 , , , A52264 2237 38 10.000000 10.000000 CD A52264 2237 39 Is be VBZ A52264 2237 40 to to IN A52264 2237 41 the the DT A52264 2237 42 ● ● XX A52264 2237 43 ● ● . A52264 2237 44 sine sine NN A52264 2237 45 of of IN A52264 2237 46 PNR PNR NNP A52264 2237 47 35 35 CD A52264 2237 48 . . . A52264 2238 1 9.913364 9.913364 CD A52264 2238 2 So so RB A52264 2238 3 is be VBZ A52264 2238 4 the the DT A52264 2238 5 tangent tangent NN A52264 2238 6 of of IN A52264 2238 7 PN PN NNP A52264 2238 8 51.53 51.53 CD A52264 2238 9 . . . A52264 2239 1 10.099861 10.099861 CD A52264 2239 2         _SP A52264 2239 3 To to IN A52264 2239 4 the the DT A52264 2239 5 tangent tangent NN A52264 2239 6 of of IN A52264 2239 7 NR NR NNP A52264 2239 8 45.87 45.87 CD A52264 2239 9 . . . A52264 2240 1 10.013225 10.013225 CD A52264 2240 2 Thirdly thirdly RB A52264 2240 3 , , , A52264 2240 4 the the DT A52264 2240 5 angle angle NN A52264 2240 6 at at IN A52264 2240 7 P p NN A52264 2240 8 between between IN A52264 2240 9 the the DT A52264 2240 10 two two CD A52264 2240 11 meridians meridian NNS A52264 2240 12 m m NN A52264 2240 13 ● ● NFP A52264 2240 14 ● ● NFP A52264 2240 15 be be VB A52264 2240 16 found find VBN A52264 2240 17 by by IN A52264 2240 18 the the DT A52264 2240 19 ninth ninth JJ A52264 2240 20 case case NN A52264 2240 21 of of IN A52264 2240 22 right right JJ A52264 2240 23 angle angle NN A52264 2240 24 ● ● DT A52264 2240 25 spherical spherical JJ A52264 2240 26 triangles triangle NNS A52264 2240 27 . . . A52264 2241 1 As as IN A52264 2241 2 the the DT A52264 2241 3 Radius Radius NNP A52264 2241 4 ● ● . A52264 2241 5 ● ● NFP A52264 2241 6 10.000000 10.000000 CD A52264 2241 7 Is be VBZ A52264 2241 8 to to IN A52264 2241 9 the the DT A52264 2241 10 co co NN A52264 2241 11 - - NN A52264 2241 12 sine sine NN A52264 2241 13 ● ● NFP A52264 2241 14 ● ● NFP A52264 2241 15 N n CD A52264 2241 16 , , , A52264 2241 17 51.53 51.53 CD A52264 2241 18 . . . A52264 2242 1 9.793864 9.793864 ADD A52264 2242 2 So so RB A52264 2242 3 is be VBZ A52264 2242 4 the the DT A52264 2242 5 tangent tangent NN A52264 2242 6 ● ● . A52264 2242 7 f f XX A52264 2242 8 ● ● NFP A52264 2242 9 NR NR NNP A52264 2242 10 35 35 CD A52264 2242 11 . . . A52264 2243 1 9.845227 9.845227 CD A52264 2243 2         _SP A52264 2243 3 To to IN A52264 2243 4 the the DT A52264 2243 5 co co NN A52264 2243 6 - - NN A52264 2243 7 tangent tangent NN A52264 2243 8 of of IN A52264 2243 9 RPN RPN NNP A52264 2243 10 66.46 66.46 CD A52264 2243 11 . . . A52264 2244 1 9.639091 9.639091 CD A52264 2244 2 The the DT A52264 2244 3 angle angle NN A52264 2244 4 at at IN A52264 2244 5 P p NN A52264 2244 6 being be VBG A52264 2244 7 66 66 CD A52264 2244 8 deg deg NN A52264 2244 9 . . . A52264 2245 1 46 46 CD A52264 2245 2 min min NN A52264 2245 3 . . . A52264 2246 1 the the DT A52264 2246 2 perpendicular perpendicular JJ A52264 2246 3 PR PR NNP A52264 2246 4 must must MD A52264 2246 5 needs needs VB A52264 2246 6 fall fall VB A52264 2246 7 somewhat somewhat RB A52264 2246 8 neer neer JJ A52264 2246 9 the the DT A52264 2246 10 middle middle NN A52264 2246 11 between between IN A52264 2246 12 7 7 CD A52264 2246 13 and and CC A52264 2246 14 8 8 CD A52264 2246 15 of of IN A52264 2246 16 the the DT A52264 2246 17 clock clock NN A52264 2246 18 ; ; : A52264 2246 19 if if IN A52264 2246 20 then then RB A52264 2246 21 you -PRON- PRP A52264 2246 22 deduct deduct VBP A52264 2246 23 the the DT A52264 2246 24 Equinoctial equinoctial JJ A52264 2246 25 distance distance NN A52264 2246 26 of of IN A52264 2246 27 8 8 CD A52264 2246 28 , , , A52264 2246 29 which which WDT A52264 2246 30 is be VBZ A52264 2246 31 60 60 CD A52264 2246 32 , , , A52264 2246 33 from from IN A52264 2246 34 66 66 CD A52264 2246 35 deg deg NN A52264 2246 36 . . . A52264 2247 1 46 46 CD A52264 2247 2 min min NN A52264 2247 3 . . . A52264 2248 1 the the DT A52264 2248 2 Equinoctial equinoctial JJ A52264 2248 3 distance distance NN A52264 2248 4 of of IN A52264 2248 5 8 8 CD A52264 2248 6 of of IN A52264 2248 7 the the DT A52264 2248 8 clock clock NN A52264 2248 9 from from IN A52264 2248 10 the the DT A52264 2248 11 substile substile NN A52264 2248 12 will will MD A52264 2248 13 be be VB A52264 2248 14 6 6 CD A52264 2248 15 deg deg NN A52264 2248 16 . . . A52264 2249 1 46 46 CD A52264 2249 2 min min NN A52264 2249 3 . . . A52264 2250 1 again again RB A52264 2250 2 , , , A52264 2250 3 if if IN A52264 2250 4 you -PRON- PRP A52264 2250 5 deduct deduct VBP A52264 2250 6 66 66 CD A52264 2250 7 degr degr NN A52264 2250 8 . . . A52264 2251 1 47 47 CD A52264 2251 2 min min NN A52264 2251 3 . . . A52264 2252 1 from from IN A52264 2252 2 75 75 CD A52264 2252 3 deg deg NN A52264 2252 4 . . . A52264 2253 1 the the DT A52264 2253 2 distance distance NN A52264 2253 3 of of IN A52264 2253 4 7 7 CD A52264 2253 5 from from IN A52264 2253 6 the the DT A52264 2253 7 Meridian Meridian NNP A52264 2253 8 , , , A52264 2253 9 the the DT A52264 2253 10 Equinoctiall Equinoctiall NNP A52264 2253 11 distance distance NN A52264 2253 12 of of IN A52264 2253 13 7 7 CD A52264 2253 14 from from IN A52264 2253 15 the the DT A52264 2253 16 substile substile NN A52264 2253 17 will will MD A52264 2253 18 be be VB A52264 2253 19 08 08 CD A52264 2253 20 . . . A52264 2253 21 deg deg NNP A52264 2253 22 . . . A52264 2254 1 53 53 CD A52264 2254 2 min min NN A52264 2254 3 . . . A52264 2255 1 the the DT A52264 2255 2 rest rest NN A52264 2255 3 are be VBP A52264 2255 4 found find VBN A52264 2255 5 by by IN A52264 2255 6 the the DT A52264 2255 7 continual continual JJ A52264 2255 8 addition addition NN A52264 2255 9 of of IN A52264 2255 10 15 15 CD A52264 2255 11 deg deg NN A52264 2255 12 . . . A52264 2256 1 for for IN A52264 2256 2 an an DT A52264 2256 3 hour hour NN A52264 2256 4 : : : A52264 2256 5 thus thus RB A52264 2256 6 , , , A52264 2256 7 15 15 CD A52264 2256 8 degr degr NN A52264 2256 9 . . . A52264 2257 1 and and CC A52264 2257 2 6 6 CD A52264 2257 3 degr degr NN A52264 2257 4 . . . A52264 2258 1 47 47 CD A52264 2258 2 min min NN A52264 2258 3 . . . A52264 2259 1 do do VBP A52264 2259 2 make make VB A52264 2259 3 21 21 CD A52264 2259 4 deg deg NN A52264 2259 5 . . . A52264 2260 1 47 47 CD A52264 2260 2 min min NN A52264 2260 3 . . . A52264 2261 1 for for IN A52264 2261 2 9 9 CD A52264 2261 3 of of IN A52264 2261 4 the the DT A52264 2261 5 clock clock NN A52264 2261 6 ; ; : A52264 2261 7 and and CC A52264 2261 8 so so RB A52264 2261 9 of of IN A52264 2261 10 the the DT A52264 2261 11 rest rest NN A52264 2261 12 . . . A52264 2262 1 And and CC A52264 2262 2 now now RB A52264 2262 3 the the DT A52264 2262 4 hour hour NN A52264 2262 5 distances distance VBZ A52264 2262 6 upon upon IN A52264 2262 7 the the DT A52264 2262 8 plane plane NN A52264 2262 9 may may MD A52264 2262 10 be be VB A52264 2262 11 found find VBN A52264 2262 12 by by IN A52264 2262 13 the the DT A52264 2262 14 first first JJ A52264 2262 15 case case NN A52264 2262 16 of of IN A52264 2262 17 right right JJ A52264 2262 18 angled angle VBN A52264 2262 19 spherical spherical JJ A52264 2262 20 triangles triangle NNS A52264 2262 21 : : : A52264 2262 22 for for CC A52264 2262 23 As as IN A52264 2262 24 the the DT A52264 2262 25 Radius Radius NNP A52264 2262 26 90 90 CD A52264 2262 27 10.000000 10.000000 CD A52264 2262 28 Is be VBZ A52264 2262 29 to to IN A52264 2262 30 the the DT A52264 2262 31 sine sine NN A52264 2262 32 of of IN A52264 2262 33 PR PR NNP A52264 2262 34 26.69 26.69 CD A52264 2262 35 . . . A52264 2263 1 9.652404 9.652404 CD A52264 2263 2 So so RB A52264 2263 3 is be VBZ A52264 2263 4 the the DT A52264 2263 5 tangent tangent NN A52264 2263 6 of of IN A52264 2263 7 RP RP NNP A52264 2263 8 . . . A52264 2264 1 8 8 CD A52264 2264 2 , , , A52264 2264 3 6.46 6.46 CD A52264 2264 4 . . . A52264 2265 1 9.053956 9.053956 CD A52264 2265 2         _SP A52264 2265 3 To to IN A52264 2265 4 the the DT A52264 2265 5 tangent tangent NN A52264 2265 6 of of IN A52264 2265 7 R r NN A52264 2265 8 8 8 CD A52264 2265 9 , , , A52264 2265 10 2.91 2.91 CD A52264 2265 11 . . . A52264 2266 1 8.706360 8.706360 CD A52264 2266 2 These these DT A52264 2266 3 2 2 CD A52264 2266 4 deg deg NN A52264 2266 5 . . . A52264 2267 1 91 91 CD A52264 2267 2 min min NN A52264 2267 3 . . . A52264 2268 1 are be VBP A52264 2268 2 the the DT A52264 2268 3 true true JJ A52264 2268 4 distance distance NN A52264 2268 5 of of IN A52264 2268 6 8 8 CD A52264 2268 7 of of IN A52264 2268 8 the the DT A52264 2268 9 clock clock NN A52264 2268 10 from from IN A52264 2268 11 the the DT A52264 2268 12 substile substile NN A52264 2268 13 . . . A52264 2269 1 And and CC A52264 2269 2 there there EX A52264 2269 3 is be VBZ A52264 2269 4 no no DT A52264 2269 5 other other JJ A52264 2269 6 difference difference NN A52264 2269 7 at at RB A52264 2269 8 all all RB A52264 2269 9 in in IN A52264 2269 10 calculating calculate VBG A52264 2269 11 the the DT A52264 2269 12 rest rest NN A52264 2269 13 of of IN A52264 2269 14 the the DT A52264 2269 15 hours hour NNS A52264 2269 16 , , , A52264 2269 17 but but CC A52264 2269 18 increasing increase VBG A52264 2269 19 the the DT A52264 2269 20 angle angle NN A52264 2269 21 at at IN A52264 2269 22 ● ● CD A52264 2269 23 , , , A52264 2269 24 acccording acccorde VBG A52264 2269 25 to to IN A52264 2269 26 each each DT A52264 2269 27 hours hour NNS A52264 2269 28 Equinoctial equinoctial JJ A52264 2269 29 distance distance NN A52264 2269 30 from from IN A52264 2269 31 the the DT A52264 2269 32 substile substile NN A52264 2269 33 . . . A52264 2270 1 The the DT A52264 2270 2 Geometrical Geometrical NNP A52264 2270 3 Projection Projection NNP A52264 2270 4 . . . A52264 2271 1 Having have VBG A52264 2271 2 calculated calculate VBN A52264 2271 3 the the DT A52264 2271 4 hour hour NN A52264 2271 5 distances distance NNS A52264 2271 6 , , , A52264 2271 7 you -PRON- PRP A52264 2271 8 shall shall MD A52264 2271 9 thus thus RB A52264 2271 10 make make VB A52264 2271 11 the the DT A52264 2271 12 Diall Diall NNP A52264 2271 13 ; ; : A52264 2271 14 let let VB A52264 2271 15 AD ad NN A52264 2271 16 be be VB A52264 2271 17 the the DT A52264 2271 18 base base NN A52264 2271 19 or or CC A52264 2271 20 horizontal horizontal JJ A52264 2271 21 line line NN A52264 2271 22 of of IN A52264 2271 23 the the DT A52264 2271 24 plane plane NN A52264 2271 25 parallel parallel NN A52264 2271 26 to to IN A52264 2271 27 NZS NZS NNP A52264 2271 28 , , , A52264 2271 29 the the DT A52264 2271 30 meridian meridian JJ A52264 2271 31 line line NN A52264 2271 32 of of IN A52264 2271 33 the the DT A52264 2271 34 Scheme Scheme NNP A52264 2271 35 . . . A52264 2272 1 And and CC A52264 2272 2 ADEF ADEF VBG A52264 2272 3 the the DT A52264 2272 4 plane plane NN A52264 2272 5 reclining recline VBG A52264 2272 6 35 35 CD A52264 2272 7 degr degr NN A52264 2272 8 . . . A52264 2273 1 from from IN A52264 2273 2 the the DT A52264 2273 3 Zenith Zenith NNP A52264 2273 4 , , , A52264 2273 5 as as IN A52264 2273 6 doth doth JJ A52264 2273 7 SON SON NNP A52264 2273 8 of of IN A52264 2273 9 the the DT A52264 2273 10 Scheme Scheme NNP A52264 2273 11 ▪ ▪ NN A52264 2273 12 through through IN A52264 2273 13 any any DT A52264 2273 14 part part NN A52264 2273 15 of of IN A52264 2273 16 the the DT A52264 2273 17 plane plane NN A52264 2273 18 , , , A52264 2273 19 but but CC A52264 2273 20 most most RBS A52264 2273 21 convenient convenient JJ A52264 2273 22 for for IN A52264 2273 23 the the DT A52264 2273 24 houres houre NNS A52264 2273 25 , , , A52264 2273 26 draw draw VB A52264 2273 27 a a DT A52264 2273 28 line line NN A52264 2273 29 parallel parallel JJ A52264 2273 30 to to IN A52264 2273 31 the the DT A52264 2273 32 base base NN A52264 2273 33 AD ad NN A52264 2273 34 , , , A52264 2273 35 which which WDT A52264 2273 36 shall shall MD A52264 2273 37 be be VB A52264 2273 38 GO GO NNP A52264 2273 39 12 12 CD A52264 2273 40 , , , A52264 2273 41 the the DT A52264 2273 42 12 12 CD A52264 2273 43 of of IN A52264 2273 44 the the DT A52264 2273 45 clock clock NN A52264 2273 46 hour hour NN A52264 2273 47 representing represent VBG A52264 2273 48 NZS NZS NNP A52264 2273 49 of of IN A52264 2273 50 the the DT A52264 2273 51 Scheme Scheme NNP A52264 2273 52 ; ; : A52264 2273 53 because because IN A52264 2273 54 the the DT A52264 2273 55 base base NN A52264 2273 56 AD ad NN A52264 2273 57 is be VBZ A52264 2273 58 parallel parallel NN A52264 2273 59 to to IN A52264 2273 60 the the DT A52264 2273 61 meridian meridian NN A52264 2273 62 , , , A52264 2273 63 take take VB A52264 2273 64 60 60 CD A52264 2273 65 degrees degree NNS A52264 2273 66 from from IN A52264 2273 67 a a DT A52264 2273 68 Chord Chord NNP A52264 2273 69 , , , A52264 2273 70 and and CC A52264 2273 71 make make VB A52264 2273 72 G g NN A52264 2273 73 the the DT A52264 2273 74 center center NN A52264 2273 75 , , , A52264 2273 76 and and CC A52264 2273 77 draw draw VB A52264 2273 78 the the DT A52264 2273 79 circle circle NN A52264 2273 80 PRO pro RB A52264 2273 81 , , , A52264 2273 82 representing represent VBG A52264 2273 83 the the DT A52264 2273 84 circle circle NN A52264 2273 85 of of IN A52264 2273 86 position position NN A52264 2273 87 NOS NOS NNP A52264 2273 88 in in IN A52264 2273 89 the the DT A52264 2273 90 Scheme Scheme NNP A52264 2273 91 in in IN A52264 2273 92 which which WDT A52264 2273 93 this this DT A52264 2273 94 plane plane NN A52264 2273 95 lieth lieth NNP A52264 2273 96 ; ; : A52264 2273 97 from from IN A52264 2273 98 the the DT A52264 2273 99 point point NN A52264 2273 100 O o NN A52264 2273 101 to to IN A52264 2273 102 R r NN A52264 2273 103 Westerly Westerly NNP A52264 2273 104 in in IN A52264 2273 105 the the DT A52264 2273 106 East East NNP A52264 2273 107 reclining reclining NN A52264 2273 108 , , , A52264 2273 109 & & CC A52264 2273 110 Easterly easterly RB A52264 2273 111 in in IN A52264 2273 112 the the DT A52264 2273 113 West West NNP A52264 2273 114 reclining reclining NN A52264 2273 115 , , , A52264 2273 116 set set VBD A52264 2273 117 off off RP A52264 2273 118 the the DT A52264 2273 119 distance distance NN A52264 2273 120 of of IN A52264 2273 121 the the DT A52264 2273 122 substile substile NNP A52264 2273 123 and and CC A52264 2273 124 meridian meridian NNP A52264 2273 125 formerly formerly RB A52264 2273 126 found find VBD A52264 2273 127 to to TO A52264 2273 128 be be VB A52264 2273 129 45 45 CD A52264 2273 130 degrees degree NNS A52264 2273 131 , , , A52264 2273 132 87 87 CD A52264 2273 133 min min NN A52264 2273 134 . . . A52264 2274 1 and and CC A52264 2274 2 draw draw VB A52264 2274 3 the the DT A52264 2274 4 prickt prickt NNS A52264 2274 5 line line NN A52264 2274 6 GR GR NNP A52264 2274 7 for for IN A52264 2274 8 the the DT A52264 2274 9 substile substile NN A52264 2274 10 , , , A52264 2274 11 agreeable agreeable JJ A52264 2274 12 to to IN A52264 2274 13 PR pr NN A52264 2274 14 in in IN A52264 2274 15 the the DT A52264 2274 16 Scheme Scheme NNP A52264 2274 17 , , , A52264 2274 18 GO GO NNP A52264 2274 19 in in IN A52264 2274 20 the the DT A52264 2274 21 Diall Diall NNP A52264 2274 22 representing represent VBG A52264 2274 23 the the DT A52264 2274 24 arch arch JJ A52264 2274 25 PN PN NNP A52264 2274 26 , , , A52264 2274 27 and and CC A52264 2274 28 OR or CC A52264 2274 29 in in IN A52264 2274 30 the the DT A52264 2274 31 plane plane NN A52264 2274 32 the the DT A52264 2274 33 arch arch JJ A52264 2274 34 NR NR NNP A52264 2274 35 in in IN A52264 2274 36 the the DT A52264 2274 37 Scheme Scheme NNP A52264 2274 38 . . . A52264 2275 1 From from IN A52264 2275 2 the the DT A52264 2275 3 point point NN A52264 2275 4 R r NN A52264 2275 5 of of IN A52264 2275 6 the the DT A52264 2275 7 substile substile NN A52264 2275 8 both both DT A52264 2275 9 wayes waye NNS A52264 2275 10 set set VBD A52264 2275 11 off off RP A52264 2275 12 the the DT A52264 2275 13 hour hour NN A52264 2275 14 distances distance NNS A52264 2275 15 , , , A52264 2275 16 by by IN A52264 2275 17 help help NN A52264 2275 18 of of IN A52264 2275 19 the the DT A52264 2275 20 Chord Chord NNP A52264 2275 21 , , , A52264 2275 22 for for IN A52264 2275 23 8 8 CD A52264 2275 24 of of IN A52264 2275 25 the the DT A52264 2275 26 clock clock NN A52264 2275 27 2 2 CD A52264 2275 28 degr degr NN A52264 2275 29 . . . A52264 2276 1 91 91 CD A52264 2276 2 min min NN A52264 2276 3 . . . A52264 2277 1 and and CC A52264 2277 2 so so RB A52264 2277 3 of of IN A52264 2277 4 the the DT A52264 2277 5 rest rest NN A52264 2277 6 ; ; : A52264 2277 7 and and CC A52264 2277 8 draw draw VB A52264 2277 9 streight streight JJ A52264 2277 10 lines line NNS A52264 2277 11 from from IN A52264 2277 12 the the DT A52264 2277 13 center center NN A52264 2277 14 G g NN A52264 2277 15 through through IN A52264 2277 16 those those DT A52264 2277 17 points point NNS A52264 2277 18 , , , A52264 2277 19 which which WDT A52264 2277 20 shall shall MD A52264 2277 21 be be VB A52264 2277 22 the the DT A52264 2277 23 true true JJ A52264 2277 24 hour hour NN A52264 2277 25 lines line NNS A52264 2277 26 desired desire VBD A52264 2277 27 . . . A52264 2278 1 Last last JJ A52264 2278 2 of of IN A52264 2278 3 all all DT A52264 2278 4 , , , A52264 2278 5 the the DT A52264 2278 6 height height NN A52264 2278 7 of of IN A52264 2278 8 the the DT A52264 2278 9 stile stile JJ A52264 2278 10 PR PR NNP A52264 2278 11 26 26 CD A52264 2278 12 degr degr NN A52264 2278 13 . . . A52264 2279 1 69 69 CD A52264 2279 2 min min NN A52264 2279 3 . . . A52264 2280 1 being be VBG A52264 2280 2 set set VBN A52264 2280 3 from from IN A52264 2280 4 R r NN A52264 2280 5 to to IN A52264 2280 6 P p NN A52264 2280 7 , , , A52264 2280 8 draw draw VB A52264 2280 9 the the DT A52264 2280 10 streight streight JJ A52264 2280 11 line line NN A52264 2280 12 GP GP NNP A52264 2280 13 for for IN A52264 2280 14 the the DT A52264 2280 15 axis axi NNS A52264 2280 16 of of IN A52264 2280 17 the the DT A52264 2280 18 stile stile NN A52264 2280 19 , , , A52264 2280 20 which which WDT A52264 2280 21 must must MD A52264 2280 22 give give VB A52264 2280 23 the the DT A52264 2280 24 shadow shadow NN A52264 2280 25 on on IN A52264 2280 26 the the DT A52264 2280 27 diall diall NN A52264 2280 28 , , , A52264 2280 29 Erect erect NN A52264 2280 30 GP gp NN A52264 2280 31 at at IN A52264 2280 32 the the DT A52264 2280 33 angle angle NN A52264 2280 34 RGP rgp NN A52264 2280 35 perpendicularly perpendicularly RB A52264 2280 36 over over IN A52264 2280 37 the the DT A52264 2280 38 substile substile JJ A52264 2280 39 line line NN A52264 2280 40 GR GR NNP A52264 2280 41 , , , A52264 2280 42 and and CC A52264 2280 43 let let VB A52264 2280 44 the the DT A52264 2280 45 point point NN A52264 2280 46 P p NN A52264 2280 47 be be VB A52264 2280 48 directed direct VBN A52264 2280 49 to to IN A52264 2280 50 the the DT A52264 2280 51 North North NNP A52264 2280 52 pole pole NN A52264 2280 53 , , , A52264 2280 54 GO12 GO12 NNP A52264 2280 55 placed place VBD A52264 2280 56 in in IN A52264 2280 57 the the DT A52264 2280 58 Meridian Meridian NNP A52264 2280 59 , , , A52264 2280 60 the the DT A52264 2280 61 center center NN A52264 2280 62 G g NN A52264 2280 63 representing represent VBG A52264 2280 64 the the DT A52264 2280 65 South South NNP A52264 2280 66 , , , A52264 2280 67 and and CC A52264 2280 68 the the DT A52264 2280 69 plane plane NN A52264 2280 70 at at IN A52264 2280 71 EF EF NNP A52264 2280 72 elevated elevate VBN A52264 2280 73 above above IN A52264 2280 74 the the DT A52264 2280 75 horizon horizon NN A52264 2280 76 55 55 CD A52264 2280 77 degrees degree NNS A52264 2280 78 ; ; : A52264 2280 79 so so RB A52264 2280 80 have have VBP A52264 2280 81 you -PRON- PRP A52264 2280 82 finished finish VBN A52264 2280 83 this this DT A52264 2280 84 diall diall NN A52264 2280 85 for for IN A52264 2280 86 use use NN A52264 2280 87 , , , A52264 2280 88 onely onely RB A52264 2280 89 remember remember VB A52264 2280 90 , , , A52264 2280 91 because because IN A52264 2280 92 the the DT A52264 2280 93 Sun Sun NNP A52264 2280 94 riseth riseth NN A52264 2280 95 but but CC A52264 2280 96 a a DT A52264 2280 97 little little JJ A52264 2280 98 before before IN A52264 2280 99 4 4 CD A52264 2280 100 , , , A52264 2280 101 and and CC A52264 2280 102 setteth setteth VB A52264 2280 103 a a DT A52264 2280 104 little little JJ A52264 2280 105 after after IN A52264 2280 106 8 8 CD A52264 2280 107 , , , A52264 2280 108 to to TO A52264 2280 109 leave leave VB A52264 2280 110 out out RP A52264 2280 111 the the DT A52264 2280 112 hours hour NNS A52264 2280 113 of of IN A52264 2280 114 3 3 CD A52264 2280 115 and and CC A52264 2280 116 9 9 CD A52264 2280 117 , , , A52264 2280 118 and and CC A52264 2280 119 put put VBD A52264 2280 120 on on RP A52264 2280 121 all all PDT A52264 2280 122 the the DT A52264 2280 123 rest rest NN A52264 2280 124 . . . A52264 2281 1 And and CC A52264 2281 2 thus thus RB A52264 2281 3 you -PRON- PRP A52264 2281 4 have have VBP A52264 2281 5 the the DT A52264 2281 6 projection projection NN A52264 2281 7 of of IN A52264 2281 8 four four CD A52264 2281 9 Dials Dials NNPS A52264 2281 10 in in IN A52264 2281 11 one one CD A52264 2281 12 ; ; : A52264 2281 13 for for IN A52264 2281 14 that that DT A52264 2281 15 which which WDT A52264 2281 16 is be VBZ A52264 2281 17 the the DT A52264 2281 18 West West NNP A52264 2281 19 recliner recliner NN A52264 2281 20 is be VBZ A52264 2281 21 also also RB A52264 2281 22 the the DT A52264 2281 23 East East NNP A52264 2281 24 incliner incliner NN A52264 2281 25 〈 〈 NNP A52264 2281 26 ◊ ◊ NNP A52264 2281 27 〉 〉 NNP A52264 2281 28 you -PRON- PRP A52264 2281 29 take take VBP A52264 2281 30 the the DT A52264 2281 31 complements complement NNS A52264 2281 32 of of IN A52264 2281 33 the the DT A52264 2281 34 recliners recliner NNS A52264 2281 35 ● ● NFP A52264 2281 36 ours our NNS A52264 2281 37 unto unto IN A52264 2281 38 12 12 CD A52264 2281 39 , , , A52264 2281 40 and and CC A52264 2281 41 that that IN A52264 2281 42 but but CC A52264 2281 43 from from IN A52264 2281 44 3 3 CD A52264 2281 45 in in IN A52264 2281 46 the the DT A52264 2281 47 afternoon afternoon NN A52264 2281 48 till till IN A52264 2281 49 8 8 CD A52264 2281 50 at at IN A52264 2281 51 night night NN A52264 2281 52 : : : A52264 2281 53 again again RB A52264 2281 54 , , , A52264 2281 55 if if IN A52264 2281 56 you -PRON- PRP A52264 2281 57 draw draw VBP A52264 2281 58 the the DT A52264 2281 59 same same JJ A52264 2281 60 lines line NNS A52264 2281 61 on on IN A52264 2281 62 the the DT A52264 2281 63 other other JJ A52264 2281 64 side side NN A52264 2281 65 of of IN A52264 2281 66 your -PRON- PRP$ A52264 2281 67 ● ● NFP A52264 2281 68 ● ● NFP A52264 2281 69 per per IN A52264 2281 70 , , , A52264 2281 71 and and CC A52264 2281 72 change change VB A52264 2281 73 the the DT A52264 2281 74 houres houre NNS A52264 2281 75 of of IN A52264 2281 76 8 8 CD A52264 2281 77 , , , A52264 2281 78 7 7 CD A52264 2281 79 , , , A52264 2281 80 6 6 CD A52264 2281 81 , , , A52264 2281 82 & & CC A52264 2281 83 c. c. NNP A52264 2281 84 into into IN A52264 2281 85 4 4 CD A52264 2281 86 , , , A52264 2281 87 5 5 CD A52264 2281 88 , , , A52264 2281 89 6 6 CD A52264 2281 90 , , , A52264 2281 91 & & CC A52264 2281 92 c. c. NNP A52264 2281 93 you -PRON- PRP A52264 2281 94 have have VBP A52264 2281 95 the the DT A52264 2281 96 East East NNP A52264 2281 97 recliner recliner NN A52264 2281 98 , , , A52264 2281 99 and and CC A52264 2281 100 the the DT A52264 2281 101 complement complement NN A52264 2281 102 of of IN A52264 2281 103 the the DT A52264 2281 104 East East NNP A52264 2281 105 recliners recliner NNS A52264 2281 106 hours hour NNS A52264 2281 107 from from IN A52264 2281 108 3 3 CD A52264 2281 109 to to TO A52264 2281 110 8 8 CD A52264 2281 111 is be VBZ A52264 2281 112 the the DT A52264 2281 113 West West NNP A52264 2281 114 incliner incliner NN A52264 2281 115 : : : A52264 2281 116 onely onely RB A52264 2281 117 remember remember VB A52264 2281 118 , , , A52264 2281 119 that that IN A52264 2281 120 as as IN A52264 2281 121 the the DT A52264 2281 122 stile stile NN A52264 2281 123 in in IN A52264 2281 124 the the DT A52264 2281 125 West West NNP A52264 2281 126 recliner recliner NN A52264 2281 127 beholds behold VBZ A52264 2281 128 the the DT A52264 2281 129 North North NNP A52264 2281 130 , , , A52264 2281 131 and and CC A52264 2281 132 the the DT A52264 2281 133 plane plane NN A52264 2281 134 the the DT A52264 2281 135 Zenith Zenith NNP A52264 2281 136 ; ; : A52264 2281 137 so so CC A52264 2281 138 in in IN A52264 2281 139 the the DT A52264 2281 140 East East NNP A52264 2281 141 incliner incliner NN A52264 2281 142 , , , A52264 2281 143 the the DT A52264 2281 144 stile stile NN A52264 2281 145 must must MD A52264 2281 146 behold behold VB A52264 2281 147 the the DT A52264 2281 148 South South NNP A52264 2281 149 , , , A52264 2281 150 and and CC A52264 2281 151 the the DT A52264 2281 152 plane plane NN A52264 2281 153 the the DT A52264 2281 154 Nadir Nadir NNP A52264 2281 155 . . . A52264 2282 1 Probl probl VB A52264 2282 2 . . . A52264 2283 1 9 9 CD A52264 2283 2 . . . A52264 2284 1 To to TO A52264 2284 2 draw draw VB A52264 2284 3 the the DT A52264 2284 4 hour hour NN A52264 2284 5 - - HYPH A52264 2284 6 lines line NNS A52264 2284 7 upon upon IN A52264 2284 8 any any DT A52264 2284 9 direct direct JJ A52264 2284 10 South South NNP A52264 2284 11 reclining recline VBG A52264 2284 12 or or CC A52264 2284 13 inclining incline VBG A52264 2284 14 plane plane NN A52264 2284 15 . . . A52264 2285 1 AS as IN A52264 2285 2 the the DT A52264 2285 3 base base NN A52264 2285 4 of of IN A52264 2285 5 East East NNP A52264 2285 6 and and CC A52264 2285 7 West West NNP A52264 2285 8 reclining recline VBG A52264 2285 9 or or CC A52264 2285 10 inclining incline VBG A52264 2285 11 planes plane NNS A52264 2285 12 do do VBP A52264 2285 13 alwayes alwaye NNS A52264 2285 14 lie lie VB A52264 2285 15 in in IN A52264 2285 16 the the DT A52264 2285 17 meridian meridian NN A52264 2285 18 of of IN A52264 2285 19 the the DT A52264 2285 20 place place NN A52264 2285 21 , , , A52264 2285 22 or or CC A52264 2285 23 parallel parallel JJ A52264 2285 24 thereunto thereunto NNS A52264 2285 25 , , , A52264 2285 26 and and CC A52264 2285 27 the the DT A52264 2285 28 poles pole NNS A52264 2285 29 in in IN A52264 2285 30 the the DT A52264 2285 31 prime prime JJ A52264 2285 32 vertical vertical NN A52264 2285 33 ; ; : A52264 2285 34 so so CC A52264 2285 35 doth doth VB A52264 2285 36 the the DT A52264 2285 37 base base NN A52264 2285 38 of of IN A52264 2285 39 South South NNP A52264 2285 40 and and CC A52264 2285 41 North North NNP A52264 2285 42 reclining recline VBG A52264 2285 43 or or CC A52264 2285 44 inclining incline VBG A52264 2285 45 planes plane NNS A52264 2285 46 lie lie VBP A52264 2285 47 in in IN A52264 2285 48 the the DT A52264 2285 49 prime prime JJ A52264 2285 50 vertical vertical NN A52264 2285 51 or or CC A52264 2285 52 azimuth azimuth NN A52264 2285 53 of of IN A52264 2285 54 East East NNP A52264 2285 55 and and CC A52264 2285 56 West West NNP A52264 2285 57 , , , A52264 2285 58 and and CC A52264 2285 59 their -PRON- PRP$ A52264 2285 60 poles pole NNS A52264 2285 61 consequently consequently RB A52264 2285 62 in in IN A52264 2285 63 the the DT A52264 2285 64 Meridian Meridian NNP A52264 2285 65 . . . A52264 2286 1 Now now RB A52264 2286 2 if if IN A52264 2286 3 you -PRON- PRP A52264 2286 4 suppose suppose VBP A52264 2286 5 the the DT A52264 2286 6 circle circle NN A52264 2286 7 of of IN A52264 2286 8 position position NN A52264 2286 9 , , , A52264 2286 10 ( ( -LRB- A52264 2286 11 which which WDT A52264 2286 12 Astrologically astrologically RB A52264 2286 13 taken take VBN A52264 2286 14 is be VBZ A52264 2286 15 fixed fix VBN A52264 2286 16 in in IN A52264 2286 17 the the DT A52264 2286 18 intersection intersection NN A52264 2286 19 of of IN A52264 2286 20 the the DT A52264 2286 21 meridian meridian NNP A52264 2286 22 and and CC A52264 2286 23 horizon horizon NNP A52264 2286 24 ) ) -RRB- A52264 2286 25 to to TO A52264 2286 26 move move VB A52264 2286 27 about about RB A52264 2286 28 upon upon IN A52264 2286 29 the the DT A52264 2286 30 horizon horizon NN A52264 2286 31 , , , A52264 2286 32 till till IN A52264 2286 33 it -PRON- PRP A52264 2286 34 comes come VBZ A52264 2286 35 into into IN A52264 2286 36 the the DT A52264 2286 37 plane plane NN A52264 2286 38 of of IN A52264 2286 39 the the DT A52264 2286 40 prime prime JJ A52264 2286 41 vertical vertical NN A52264 2286 42 , , , A52264 2286 43 and and CC A52264 2286 44 being be VBG A52264 2286 45 fixed fix VBN A52264 2286 46 in in IN A52264 2286 47 the the DT A52264 2286 48 intersection intersection NN A52264 2286 49 thereof thereof RB A52264 2286 50 with with IN A52264 2286 51 the the DT A52264 2286 52 horizon horizon NN A52264 2286 53 , , , A52264 2286 54 to to TO A52264 2286 55 be be VB A52264 2286 56 let let VBN A52264 2286 57 fall fall VB A52264 2286 58 either either DT A52264 2286 59 way way NN A52264 2286 60 from from IN A52264 2286 61 the the DT A52264 2286 62 Zenith Zenith NNP A52264 2286 63 upon upon IN A52264 2286 64 the the DT A52264 2286 65 meridian meridian NN A52264 2286 66 , , , A52264 2286 67 it -PRON- PRP A52264 2286 68 shall shall MD A52264 2286 69 truly truly RB A52264 2286 70 represent represent VB A52264 2286 71 all all PDT A52264 2286 72 the the DT A52264 2286 73 South South NNP A52264 2286 74 and and CC A52264 2286 75 North North NNP A52264 2286 76 reclining recline VBG A52264 2286 77 and and CC A52264 2286 78 inclining incline VBG A52264 2286 79 planes plane NNS A52264 2286 80 also also RB A52264 2286 81 , , , A52264 2286 82 of of IN A52264 2286 83 which which WDT A52264 2286 84 there there EX A52264 2286 85 are be VBP A52264 2286 86 six six CD A52264 2286 87 varieties variety NNS A52264 2286 88 three three CD A52264 2286 89 of of IN A52264 2286 90 South South NNP A52264 2286 91 and and CC A52264 2286 92 three three CD A52264 2286 93 of of IN A52264 2286 94 North North NNP A52264 2286 95 reclining recline VBG A52264 2286 96 ; ; : A52264 2286 97 for for IN A52264 2286 98 either either CC A52264 2286 99 the the DT A52264 2286 100 South South NNP A52264 2286 101 plane plane NN A52264 2286 102 doth doth NN A52264 2286 103 recline recline NN A52264 2286 104 just just RB A52264 2286 105 to to IN A52264 2286 106 the the DT A52264 2286 107 pole pole NN A52264 2286 108 , , , A52264 2286 109 and and CC A52264 2286 110 then then RB A52264 2286 111 it -PRON- PRP A52264 2286 112 becommeth becommeth VBP A52264 2286 113 an an DT A52264 2286 114 Equinoctial Equinoctial NNP A52264 2286 115 , , , A52264 2286 116 because because IN A52264 2286 117 the the DT A52264 2286 118 poles pole NNS A52264 2286 119 of of IN A52264 2286 120 this this DT A52264 2286 121 plane plane NN A52264 2286 122 do do VBP A52264 2286 123 then then RB A52264 2286 124 lie lie VB A52264 2286 125 in in IN A52264 2286 126 the the DT A52264 2286 127 Equinoctiall Equinoctiall NNP A52264 2286 128 ; ; : A52264 2286 129 some some DT A52264 2286 130 call call VBP A52264 2286 131 it -PRON- PRP A52264 2286 132 a a DT A52264 2286 133 polar polar JJ A52264 2286 134 plane plane NN A52264 2286 135 , , , A52264 2286 136 or or CC A52264 2286 137 else else RB A52264 2286 138 it -PRON- PRP A52264 2286 139 reclineth reclineth VBP A52264 2286 140 more more RBR A52264 2286 141 and and CC A52264 2286 142 less less RBR A52264 2286 143 then then RB A52264 2286 144 the the DT A52264 2286 145 pole pole NN A52264 2286 146 , , , A52264 2286 147 and and CC A52264 2286 148 consequently consequently RB A52264 2286 149 the the DT A52264 2286 150 poles pole NNS A52264 2286 151 of of IN A52264 2286 152 the the DT A52264 2286 153 plane plane NN A52264 2286 154 above above RB A52264 2286 155 and and CC A52264 2286 156 under under IN A52264 2286 157 the the DT A52264 2286 158 Equinoctiall Equinoctiall NNP A52264 2286 159 , , , A52264 2286 160 somewhat somewhat RB A52264 2286 161 differing differing JJ A52264 2286 162 from from IN A52264 2286 163 the the DT A52264 2286 164 former former JJ A52264 2286 165 . . . A52264 2287 1 In in IN A52264 2287 2 like like JJ A52264 2287 3 manner manner NN A52264 2287 4 , , , A52264 2287 5 the the DT A52264 2287 6 North North NNP A52264 2287 7 plane plane NN A52264 2287 8 reclineth reclineth NN A52264 2287 9 just just RB A52264 2287 10 to to IN A52264 2287 11 the the DT A52264 2287 12 Equinoctial Equinoctial NNP A52264 2287 13 , , , A52264 2287 14 and and CC A52264 2287 15 then then RB A52264 2287 16 becometh becometh VBZ A52264 2287 17 a a DT A52264 2287 18 polar polar JJ A52264 2287 19 plane plane NN A52264 2287 20 , , , A52264 2287 21 because because IN A52264 2287 22 the the DT A52264 2287 23 poles pole NNS A52264 2287 24 of of IN A52264 2287 25 that that DT A52264 2287 26 plane plane NN A52264 2287 27 lie lie NN A52264 2287 28 in in IN A52264 2287 29 the the DT A52264 2287 30 poles pole NNS A52264 2287 31 of of IN A52264 2287 32 the the DT A52264 2287 33 world world NN A52264 2287 34 ; ; , A52264 2287 35 some some DT A52264 2287 36 term term NN A52264 2287 37 it -PRON- PRP A52264 2287 38 an an DT A52264 2287 39 Equinoctiall Equinoctiall NNP A52264 2287 40 plane plane NN A52264 2287 41 . . . A52264 2288 1 Or or CC A52264 2288 2 else else RB A52264 2288 3 it -PRON- PRP A52264 2288 4 reclineth reclineth VBP A52264 2288 5 more more RBR A52264 2288 6 or or CC A52264 2288 7 lesse lesse NNP A52264 2288 8 then then RB A52264 2288 9 the the DT A52264 2288 10 Equinoctial Equinoctial NNP A52264 2288 11 , , , A52264 2288 12 and and CC A52264 2288 13 consequently consequently RB A52264 2288 14 the the DT A52264 2288 15 poles pole NNS A52264 2288 16 of of IN A52264 2288 17 the the DT A52264 2288 18 plane plane NN A52264 2288 19 above above RB A52264 2288 20 and and CC A52264 2288 21 under under IN A52264 2288 22 the the DT A52264 2288 23 poles pole NNS A52264 2288 24 of of IN A52264 2288 25 the the DT A52264 2288 26 world world NN A52264 2288 27 , , , A52264 2288 28 somewhat somewhat RB A52264 2288 29 differing differing JJ A52264 2288 30 from from IN A52264 2288 31 the the DT A52264 2288 32 former former JJ A52264 2288 33 . . . A52264 2289 1 Of of IN A52264 2289 2 the the DT A52264 2289 3 Equinoctiall Equinoctiall NNP A52264 2289 4 plane plane NN A52264 2289 5 . . . A52264 2290 1 And and CC A52264 2290 2 because because IN A52264 2290 3 this this DT A52264 2290 4 Diall Diall NNP A52264 2290 5 is be VBZ A52264 2290 6 no no DT A52264 2290 7 other other JJ A52264 2290 8 but but CC A52264 2290 9 the the DT A52264 2290 10 very very JJ A52264 2290 11 horizontall horizontall NN A52264 2290 12 of of IN A52264 2290 13 a a DT A52264 2290 14 right right JJ A52264 2290 15 Sphere Sphere NNP A52264 2290 16 , , , A52264 2290 17 where where WRB A52264 2290 18 the the DT A52264 2290 19 Equinoctial Equinoctial NNP A52264 2290 20 is be VBZ A52264 2290 21 Zenith Zenith NNP A52264 2290 22 , , , A52264 2290 23 and and CC A52264 2290 24 the the DT A52264 2290 25 Poles Poles NNPS A52264 2290 26 of of IN A52264 2290 27 the the DT A52264 2290 28 world world NN A52264 2290 29 in in IN A52264 2290 30 the the DT A52264 2290 31 Horizon Horizon NNP A52264 2290 32 ; ; : A52264 2290 33 therefore therefore RB A52264 2290 34 it -PRON- PRP A52264 2290 35 is be VBZ A52264 2290 36 not not RB A52264 2290 37 capable capable JJ A52264 2290 38 of of IN A52264 2290 39 the the DT A52264 2290 40 six six CD A52264 2290 41 of of IN A52264 2290 42 clock clock NN A52264 2290 43 hour hour NN A52264 2290 44 ( ( -LRB- A52264 2290 45 no no RB A52264 2290 46 more more RBR A52264 2290 47 then then RB A52264 2290 48 the the DT A52264 2290 49 East East NNP A52264 2290 50 and and CC A52264 2290 51 West West NNP A52264 2290 52 are be VBP A52264 2290 53 of of IN A52264 2290 54 the the DT A52264 2290 55 12 12 CD A52264 2290 56 a a DT A52264 2290 57 clock clock NN A52264 2290 58 hour hour NN A52264 2290 59 ) ) -RRB- A52264 2290 60 which which WDT A52264 2290 61 vanish vanish VBP A52264 2290 62 upon upon IN A52264 2290 63 the the DT A52264 2290 64 planes plane NNS A52264 2290 65 , , , A52264 2290 66 unto unto IN A52264 2290 67 which which WDT A52264 2290 68 they -PRON- PRP A52264 2290 69 are be VBP A52264 2290 70 parallel parallel JJ A52264 2290 71 : : : A52264 2290 72 and and CC A52264 2290 73 the the DT A52264 2290 74 twelve twelve NN A52264 2290 75 a a DT A52264 2290 76 clock clock NN A52264 2290 77 hour hour NN A52264 2290 78 is be VBZ A52264 2290 79 the the DT A52264 2290 80 middle middle JJ A52264 2290 81 line line NN A52264 2290 82 of of IN A52264 2290 83 this this DT A52264 2290 84 Diall Diall NNP A52264 2290 85 ( ( -LRB- A52264 2290 86 because because IN A52264 2290 87 the the DT A52264 2290 88 Meridian Meridian NNP A52264 2290 89 cutteth cutteth VBP A52264 2290 90 the the DT A52264 2290 91 plane plane NN A52264 2290 92 of of IN A52264 2290 93 six six CD A52264 2290 94 a a DT A52264 2290 95 clock clock NN A52264 2290 96 at at IN A52264 2290 97 right right JJ A52264 2290 98 angles angle NNS A52264 2290 99 ) ) -RRB- A52264 2290 100 which which WDT A52264 2290 101 the the DT A52264 2290 102 Sun Sun NNP A52264 2290 103 attaineth attaineth RB A52264 2290 104 not not RB A52264 2290 105 , , , A52264 2290 106 till till IN A52264 2290 107 he -PRON- PRP A52264 2290 108 be be VB A52264 2290 109 perpendicular perpendicular JJ A52264 2290 110 to to IN A52264 2290 111 the the DT A52264 2290 112 plain plain NN A52264 2290 113 . . . A52264 2291 1 And and CC A52264 2291 2 this this DT A52264 2291 3 in in IN A52264 2291 4 my -PRON- PRP$ A52264 2291 5 opinion opinion NN A52264 2291 6 , , , A52264 2291 7 besides besides IN A52264 2291 8 the the DT A52264 2291 9 respect respect NN A52264 2291 10 of of IN A52264 2291 11 the the DT A52264 2291 12 poles pole NNS A52264 2291 13 , , , A52264 2291 14 is be VBZ A52264 2291 15 reason reason NN A52264 2291 16 enough enough JJ A52264 2291 17 to to TO A52264 2291 18 call call VB A52264 2291 19 it -PRON- PRP A52264 2291 20 an an DT A52264 2291 21 Equinoctiall Equinoctiall NNP A52264 2291 22 Diall Diall NNP A52264 2291 23 , , , A52264 2291 24 seeing see VBG A52264 2291 25 it -PRON- PRP A52264 2291 26 is be VBZ A52264 2291 27 the the DT A52264 2291 28 Diall Diall NNP A52264 2291 29 proper proper JJ A52264 2291 30 to to IN A52264 2291 31 them -PRON- PRP A52264 2291 32 that that WDT A52264 2291 33 live live VBP A52264 2291 34 under under IN A52264 2291 35 the the DT A52264 2291 36 Equinoctiall Equinoctiall NNP A52264 2291 37 . . . A52264 2292 1 This this DT A52264 2292 2 Diall Diall NNP A52264 2292 3 is be VBZ A52264 2292 4 to to TO A52264 2292 5 be be VB A52264 2292 6 made make VBN A52264 2292 7 in in IN A52264 2292 8 all all DT A52264 2292 9 respects respect NNS A52264 2292 10 as as IN A52264 2292 11 the the DT A52264 2292 12 East East NNP A52264 2292 13 and and CC A52264 2292 14 West West NNP A52264 2292 15 were be VBD A52264 2292 16 , , , A52264 2292 17 being be VBG A52264 2292 18 indeed indeed RB A52264 2292 19 the the DT A52264 2292 20 very very RB A52264 2292 21 same same JJ A52264 2292 22 with with IN A52264 2292 23 them -PRON- PRP A52264 2292 24 , , , A52264 2292 25 onely onely RB A52264 2292 26 changing change VBG A52264 2292 27 the the DT A52264 2292 28 numbers number NNS A52264 2292 29 of of IN A52264 2292 30 the the DT A52264 2292 31 hours hour NNS A52264 2292 32 : : : A52264 2292 33 for for IN A52264 2292 34 seeing see VBG A52264 2292 35 the the DT A52264 2292 36 six six CD A52264 2292 37 of of IN A52264 2292 38 clock clock NN A52264 2292 39 hour hour NN A52264 2292 40 in in IN A52264 2292 41 which which WDT A52264 2292 42 this this DT A52264 2292 43 plane plane NN A52264 2292 44 lieth lieth NNP A52264 2292 45 crosseth crosseth NNP A52264 2292 46 the the DT A52264 2292 47 twelve twelve CD A52264 2292 48 of of IN A52264 2292 49 clock clock NN A52264 2292 50 hour hour NN A52264 2292 51 at at IN A52264 2292 52 right right JJ A52264 2292 53 angles angle NNS A52264 2292 54 , , , A52264 2292 55 in in IN A52264 2292 56 which which WDT A52264 2292 57 the the DT A52264 2292 58 East East NNP A52264 2292 59 and and CC A52264 2292 60 West West NNP A52264 2292 61 plane plane NN A52264 2292 62 lieth lieth NNP A52264 2292 63 , , , A52264 2292 64 the the DT A52264 2292 65 rest rest NN A52264 2292 66 of of IN A52264 2292 67 the the DT A52264 2292 68 hour hour NN A52264 2292 69 - - HYPH A52264 2292 70 lines line NNS A52264 2292 71 will will MD A52264 2292 72 have have VB A52264 2292 73 equall equall JJ A52264 2292 74 respect respect NN A52264 2292 75 unto unto IN A52264 2292 76 them -PRON- PRP A52264 2292 77 both both DT A52264 2292 78 : : : A52264 2292 79 so so IN A52264 2292 80 that that IN A52264 2292 81 the the DT A52264 2292 82 fifth fifth JJ A52264 2292 83 hour hour NN A52264 2292 84 from from IN A52264 2292 85 six six CD A52264 2292 86 of of IN A52264 2292 87 the the DT A52264 2292 88 clock clock NN A52264 2292 89 is be VBZ A52264 2292 90 equal equal JJ A52264 2292 91 to to IN A52264 2292 92 the the DT A52264 2292 93 fift fift JJ A52264 2292 94 hour hour NN A52264 2292 95 from from IN A52264 2292 96 twelve twelve CD A52264 2292 97 ; ; : A52264 2292 98 the the DT A52264 2292 99 four four CD A52264 2292 100 to to IN A52264 2292 101 the the DT A52264 2292 102 four four CD A52264 2292 103 ; ; : A52264 2292 104 and and CC A52264 2292 105 so so RB A52264 2292 106 of of IN A52264 2292 107 the the DT A52264 2292 108 ● ● NFP A52264 2292 109 est e JJS A52264 2292 110 . . . A52264 2293 1 These these DT A52264 2293 2 analogies analogy NNS A52264 2293 3 holding hold VBG A52264 2293 4 , , , A52264 2293 5 the the DT A52264 2293 6 hour hour NN A52264 2293 7 distances distance VBZ A52264 2293 8 from from IN A52264 2293 9 six six CD A52264 2293 10 are be VBP A52264 2293 11 to to TO A52264 2293 12 be be VB A52264 2293 13 set set VBN A52264 2293 14 off off RP A52264 2293 15 by by IN A52264 2293 16 the the DT A52264 2293 17 natural natural JJ A52264 2293 18 tangents tangent NNS A52264 2293 19 in in IN A52264 2293 20 these these DT A52264 2293 21 Dials Dials NNPS A52264 2293 22 , , , A52264 2293 23 as as IN A52264 2293 24 they -PRON- PRP A52264 2293 25 were be VBD A52264 2293 26 from from IN A52264 2293 27 twelve twelve CD A52264 2293 28 in in IN A52264 2293 29 the the DT A52264 2293 30 East East NNP A52264 2293 31 and and CC A52264 2293 32 West West NNP A52264 2293 33 Dials Dials NNP A52264 2293 34 . . . A52264 2294 1 The the DT A52264 2294 2 Geometricall Geometricall NNP A52264 2294 3 Projection Projection NNP A52264 2294 4 . . . A52264 2295 1 Draw draw VB A52264 2295 2 the the DT A52264 2295 3 tangent tangent NN A52264 2295 4 line line NN A52264 2295 5 DSK DSK NNP A52264 2295 6 , , , A52264 2295 7 parallel parallel NN A52264 2295 8 to to IN A52264 2295 9 the the DT A52264 2295 10 line line NN A52264 2295 11 EZW EZW NNP A52264 2295 12 in in IN A52264 2295 13 the the DT A52264 2295 14 Scheme Scheme NNP A52264 2295 15 , , , A52264 2295 16 crosse crosse VB A52264 2295 17 it -PRON- PRP A52264 2295 18 at at IN A52264 2295 19 right right JJ A52264 2295 20 angles angle NNS A52264 2295 21 with with IN A52264 2295 22 MSA MSA NNP A52264 2295 23 the the DT A52264 2295 24 Meridian meridian JJ A52264 2295 25 line line NN A52264 2295 26 , , , A52264 2295 27 make make VB A52264 2295 28 SA SA NNP A52264 2295 29 the the DT A52264 2295 30 Radius radius NN A52264 2295 31 to to IN A52264 2295 32 that that DT A52264 2295 33 tangent tangent NN A52264 2295 34 line line NN A52264 2295 35 , , , A52264 2295 36 on on IN A52264 2295 37 which which WDT A52264 2295 38 prick prick VBP A52264 2295 39 down down RP A52264 2295 40 the the DT A52264 2295 41 hours hour NNS A52264 2295 42 ; ; : A52264 2295 43 and and CC A52264 2295 44 that that IN A52264 2295 45 there there EX A52264 2295 46 may may MD A52264 2295 47 be be VB A52264 2295 48 as as RB A52264 2295 49 many many JJ A52264 2295 50 hours hour NNS A52264 2295 51 upon upon IN A52264 2295 52 the the DT A52264 2295 53 plane plane NN A52264 2295 54 as as IN A52264 2295 55 it -PRON- PRP A52264 2295 56 is be VBZ A52264 2295 57 capable capable JJ A52264 2295 58 of of IN A52264 2295 59 , , , A52264 2295 60 you -PRON- PRP A52264 2295 61 must must MD A52264 2295 62 proportion proportion VB A52264 2295 63 the the DT A52264 2295 64 stile stile NN A52264 2295 65 to to IN A52264 2295 66 the the DT A52264 2295 67 plane plane NN A52264 2295 68 ( ( -LRB- A52264 2295 69 as as IN A52264 2295 70 in in IN A52264 2295 71 the the DT A52264 2295 72 fifth fifth JJ A52264 2295 73 Problem Problem NNP A52264 2295 74 ) ) -RRB- A52264 2295 75 after after IN A52264 2295 76 this this DT A52264 2295 77 manner manner NN A52264 2295 78 : : : A52264 2295 79 let let VB A52264 2295 80 the the DT A52264 2295 81 length length NN A52264 2295 82 of of IN A52264 2295 83 the the DT A52264 2295 84 plane plane NN A52264 2295 85 from from IN A52264 2295 86 A a DT A52264 2295 87 be be NN A52264 2295 88 given give VBN A52264 2295 89 in in IN A52264 2295 90 known know VBN A52264 2295 91 parts part NNS A52264 2295 92 , , , A52264 2295 93 then then RB A52264 2295 94 because because IN A52264 2295 95 the the DT A52264 2295 96 extream extream JJ A52264 2295 97 hours hour NNS A52264 2295 98 upon upon IN A52264 2295 99 this this DT A52264 2295 100 plane plane NN A52264 2295 101 are be VBP A52264 2295 102 5 5 CD A52264 2295 103 or or CC A52264 2295 104 7 7 CD A52264 2295 105 , , , A52264 2295 106 reckoning reckon VBG A52264 2295 107 15 15 CD A52264 2295 108 degrees degree NNS A52264 2295 109 to to IN A52264 2295 110 every every DT A52264 2295 111 hour hour NN A52264 2295 112 from from IN A52264 2295 113 12 12 CD A52264 2295 114 , , , A52264 2295 115 the the DT A52264 2295 116 arch arch NN A52264 2295 117 of of IN A52264 2295 118 the the DT A52264 2295 119 Equator equator NN A52264 2295 120 will will MD A52264 2295 121 be be VB A52264 2295 122 75 75 CD A52264 2295 123 degrees degree NNS A52264 2295 124 : : : A52264 2295 125 and and CC A52264 2295 126 therefore therefore RB A52264 2295 127 in in IN A52264 2295 128 the the DT A52264 2295 129 right right NN A52264 2295 130 angled angle VBN A52264 2295 131 plain plain JJ A52264 2295 132 triangle triangle NN A52264 2295 133 SA SA NNP A52264 2295 134 ♎ ♎ NN A52264 2295 135 , , , A52264 2295 136 we -PRON- PRP A52264 2295 137 have have VBP A52264 2295 138 given give VBN A52264 2295 139 the the DT A52264 2295 140 base base NN A52264 2295 141 A a DT A52264 2295 142 ♎ ♎ NN A52264 2295 143 , , , A52264 2295 144 the the DT A52264 2295 145 length length NN A52264 2295 146 of of IN A52264 2295 147 the the DT A52264 2295 148 plane plane NN A52264 2295 149 from from IN A52264 2295 150 A a NN A52264 2295 151 , , , A52264 2295 152 and and CC A52264 2295 153 the the DT A52264 2295 154 angle angle NN A52264 2295 155 AS as IN A52264 2295 156 ♎ ♎ NN A52264 2295 157 75 75 CD A52264 2295 158 degrees degree NNS A52264 2295 159 , , , A52264 2295 160 to to TO A52264 2295 161 finde finde VB A52264 2295 162 the the DT A52264 2295 163 perpendicular perpendicular JJ A52264 2295 164 SA SA NNP A52264 2295 165 ; ; : A52264 2295 166 for for IN A52264 2295 167 which which WDT A52264 2295 168 , , , A52264 2295 169 as as IN A52264 2295 170 in in IN A52264 2295 171 the the DT A52264 2295 172 fifth fifth JJ A52264 2295 173 Chapter chapter NN A52264 2295 174 , , , A52264 2295 175 I -PRON- PRP A52264 2295 176 say say VBP A52264 2295 177 ; ; : A52264 2295 178 As as IN A52264 2295 179 the the DT A52264 2295 180 Radius Radius NNP A52264 2295 181 90 90 CD A52264 2295 182 , , , A52264 2295 183 10.000000 10.000000 CD A52264 2295 184 Is be VBZ A52264 2295 185 to to IN A52264 2295 186 the the DT A52264 2295 187 base base NN A52264 2295 188 A a DT A52264 2295 189 ♎ ♎ NN A52264 2295 190 3.50 3.50 CD A52264 2295 191 . . . A52264 2296 1 2.544068 2.544068 CD A52264 2296 2 So so RB A52264 2296 3 is be VBZ A52264 2296 4 the the DT A52264 2296 5 tangent tangent NN A52264 2296 6 of of IN A52264 2296 7 A a DT A52264 2296 8 ♎ ♎ NN A52264 2296 9 S S NNP A52264 2296 10 15 15 CD A52264 2296 11 9,428052 9,428052 NN A52264 2296 12         _SP A52264 2296 13 To to IN A52264 2296 14 the the DT A52264 2296 15 perpendicular perpendicular JJ A52264 2296 16 AS AS NNP A52264 2296 17 94 94 CD A52264 2296 18 1.972120 1.972120 CD A52264 2296 19 At at IN A52264 2296 20 which which WDT A52264 2296 21 height height NN A52264 2296 22 a a DT A52264 2296 23 stile stile NN A52264 2296 24 being be VBG A52264 2296 25 erected erect VBN A52264 2296 26 over over IN A52264 2296 27 the the DT A52264 2296 28 12 12 CD A52264 2296 29 a a DT A52264 2296 30 clock clock NN A52264 2296 31 hour hour NN A52264 2296 32 line line NN A52264 2296 33 , , , A52264 2296 34 and and CC A52264 2296 35 the the DT A52264 2296 36 hours hour NNS A52264 2296 37 from from IN A52264 2296 38 12 12 CD A52264 2296 39 drawn drawn NN A52264 2296 40 parallel parallel JJ A52264 2296 41 thereunto thereunto NNS A52264 2296 42 through through IN A52264 2296 43 the the DT A52264 2296 44 points point NNS A52264 2296 45 made make VBN A52264 2296 46 in in IN A52264 2296 47 the the DT A52264 2296 48 tangent tangent NN A52264 2296 49 line line NN A52264 2296 50 , , , A52264 2296 51 by by IN A52264 2296 52 setting set VBG A52264 2296 53 off off RP A52264 2296 54 the the DT A52264 2296 55 natural natural JJ A52264 2296 56 tangents tangent NNS A52264 2296 57 thereon thereon NN A52264 2296 58 , , , A52264 2296 59 and and CC A52264 2296 60 then then RB A52264 2296 61 the the DT A52264 2296 62 Diall Diall NNP A52264 2296 63 is be VBZ A52264 2296 64 finished finish VBN A52264 2296 65 . . . A52264 2297 1 Let let VB A52264 2297 2 SA SA NNP A52264 2297 3 12 12 CD A52264 2297 4 be be VB A52264 2297 5 placed place VBN A52264 2297 6 in in IN A52264 2297 7 the the DT A52264 2297 8 meridian meridian NN A52264 2297 9 , , , A52264 2297 10 and and CC A52264 2297 11 the the DT A52264 2297 12 whole whole JJ A52264 2297 13 plane plane NN A52264 2297 14 at at IN A52264 2297 15 S S NNP A52264 2297 16 raised raise VBD A52264 2297 17 to to IN A52264 2297 18 the the DT A52264 2297 19 height height NN A52264 2297 20 of of IN A52264 2297 21 the the DT A52264 2297 22 pole pole NNP A52264 2297 23 51 51 CD A52264 2297 24 degr degr NN A52264 2297 25 . . . A52264 2298 1 53 53 CD A52264 2298 2 min min NN A52264 2298 3 . . . A52264 2299 1 then then RB A52264 2299 2 will will MD A52264 2299 3 the the DT A52264 2299 4 stile stile NN A52264 2299 5 shew shew VB A52264 2299 6 the the DT A52264 2299 7 hours hour NNS A52264 2299 8 truly truly RB A52264 2299 9 , , , A52264 2299 10 and and CC A52264 2299 11 the the DT A52264 2299 12 Diall Diall NNP A52264 2299 13 stand stand NN A52264 2299 14 in in IN A52264 2299 15 its -PRON- PRP$ A52264 2299 16 due due JJ A52264 2299 17 position position NN A52264 2299 18 . . . A52264 2300 1 2 2 LS A52264 2300 2 . . . A52264 2301 1 Of of IN A52264 2301 2 South South NNP A52264 2301 3 reclining recline VBG A52264 2301 4 lesse lesse NN A52264 2301 5 then then RB A52264 2301 6 the the DT A52264 2301 7 pole pole NN A52264 2301 8 . . . A52264 2302 1 This this DT A52264 2302 2 plane plane NN A52264 2302 3 is be VBZ A52264 2302 4 represented represent VBN A52264 2302 5 by by IN A52264 2302 6 the the DT A52264 2302 7 prickt prickt NNS A52264 2302 8 circle circle NN A52264 2302 9 in in IN A52264 2302 10 the the DT A52264 2302 11 fundamental fundamental JJ A52264 2302 12 Diagram Diagram NNP A52264 2302 13 ECW ECW NNP A52264 2302 14 , , , A52264 2302 15 and and CC A52264 2302 16 is be VBZ A52264 2302 17 intersected intersect VBN A52264 2302 18 by by IN A52264 2302 19 the the DT A52264 2302 20 hour hour NN A52264 2302 21 circles circle NNS A52264 2302 22 from from IN A52264 2302 23 the the DT A52264 2302 24 pole pole NN A52264 2302 25 P P NNP A52264 2302 26 , , , A52264 2302 27 as as IN A52264 2302 28 by by IN A52264 2302 29 the the DT A52264 2302 30 Scheme Scheme NNP A52264 2302 31 appeareth appeareth NN A52264 2302 32 , , , A52264 2302 33 and and CC A52264 2302 34 therefore therefore RB A52264 2302 35 the the DT A52264 2302 36 Diall Diall NNP A52264 2302 37 proper proper JJ A52264 2302 38 to to IN A52264 2302 39 this this DT A52264 2302 40 plane plane NN A52264 2302 41 must must MD A52264 2302 42 have have VB A52264 2302 43 a a DT A52264 2302 44 center center NN A52264 2302 45 , , , A52264 2302 46 above above IN A52264 2302 47 which which WDT A52264 2302 48 the the DT A52264 2302 49 South South NNP A52264 2302 50 pole pole NN A52264 2302 51 is be VBZ A52264 2302 52 elevated elevated JJ A52264 2302 53 ; ; : A52264 2302 54 and and CC A52264 2302 55 therefore therefore RB A52264 2302 56 the the DT A52264 2302 57 stile stile NN A52264 2302 58 must must MD A52264 2302 59 look look VB A52264 2302 60 downwards downwards RB A52264 2302 61 , , , A52264 2302 62 as as IN A52264 2302 63 in in IN A52264 2302 64 South south JJ A52264 2302 65 direct direct JJ A52264 2302 66 planes plane NNS A52264 2302 67 ; ; : A52264 2302 68 to to TO A52264 2302 69 calculate calculate VB A52264 2302 70 which which WDT A52264 2302 71 Dials Dials NNPS A52264 2302 72 there there EX A52264 2302 73 must must MD A52264 2302 74 be be VB A52264 2302 75 given give VBN A52264 2302 76 the the DT A52264 2302 77 Poles Poles NNPS A52264 2302 78 elevation elevation NN A52264 2302 79 , , , A52264 2302 80 and and CC A52264 2302 81 the the DT A52264 2302 82 quantity quantity NN A52264 2302 83 of of IN A52264 2302 84 reclination reclination NN A52264 2302 85 , , , A52264 2302 86 by by IN A52264 2302 87 which which WDT A52264 2302 88 to to TO A52264 2302 89 finde finde VB A52264 2302 90 the the DT A52264 2302 91 hour hour NN A52264 2302 92 distances distance NNS A52264 2302 93 from from IN A52264 2302 94 the the DT A52264 2302 95 meridian meridian NN A52264 2302 96 , , , A52264 2302 97 and and CC A52264 2302 98 thus thus RB A52264 2302 99 in in IN A52264 2302 100 the the DT A52264 2302 101 triangle triangle NN A52264 2302 102 PC PC NNP A52264 2302 103 1 1 CD A52264 2302 104 , , , A52264 2302 105 having have VBG A52264 2302 106 the the DT A52264 2302 107 poles pole NNS A52264 2302 108 elevation elevation NN A52264 2302 109 51 51 CD A52264 2302 110 degr degr NN A52264 2302 111 . . . A52264 2303 1 53 53 CD A52264 2303 2 min min NN A52264 2303 3 . . . A52264 2304 1 and and CC A52264 2304 2 the the DT A52264 2304 3 reclination reclination NN A52264 2304 4 25 25 CD A52264 2304 5 degr degr NN A52264 2304 6 . . . A52264 2305 1 PC PC NNP A52264 2305 2 is be VBZ A52264 2305 3 given give VBN A52264 2305 4 , , , A52264 2305 5 by by IN A52264 2305 6 substracting substracte VBG A52264 2305 7 25 25 CD A52264 2305 8 degr degr NN A52264 2305 9 . . . A52264 2306 1 from from IN A52264 2306 2 PZ PZ NNP A52264 2306 3 38 38 CD A52264 2306 4 degr degr NN A52264 2306 5 . . . A52264 2307 1 47 47 CD A52264 2307 2 min min NN A52264 2307 3 . . . A52264 2308 1 the the DT A52264 2308 2 complement complement NN A52264 2308 3 of of IN A52264 2308 4 the the DT A52264 2308 5 poles pole NNS A52264 2308 6 height height NN A52264 2308 7 , , , A52264 2308 8 the the DT A52264 2308 9 angle angle NN A52264 2308 10 CP CP NNP A52264 2308 11 1 1 CD A52264 2308 12 is be VBZ A52264 2308 13 15 15 CD A52264 2308 14 degrees degree NNS A52264 2308 15 , , , A52264 2308 16 one one CD A52264 2308 17 hours hour NNS A52264 2308 18 distance distance NN A52264 2308 19 , , , A52264 2308 20 and and CC A52264 2308 21 the the DT A52264 2308 22 angle angle NN A52264 2308 23 at at IN A52264 2308 24 C c NN A52264 2308 25 right right UH A52264 2308 26 , , , A52264 2308 27 we -PRON- PRP A52264 2308 28 may may MD A52264 2308 29 finde finde VB A52264 2308 30 C C NNP A52264 2308 31 1 1 CD A52264 2308 32 , , , A52264 2308 33 by by IN A52264 2308 34 the the DT A52264 2308 35 first first JJ A52264 2308 36 case case NN A52264 2308 37 of of IN A52264 2308 38 right right JJ A52264 2308 39 angled angle VBN A52264 2308 40 spherical spherical JJ A52264 2308 41 triangles triangle NNS A52264 2308 42 : : : A52264 2308 43 for for IN A52264 2308 44 , , , A52264 2308 45 As as IN A52264 2308 46 the the DT A52264 2308 47 Radius Radius NNP A52264 2308 48 90 90 CD A52264 2308 49 , , , A52264 2308 50 10.000000 10.000000 CD A52264 2308 51 Is be VBZ A52264 2308 52 to to IN A52264 2308 53 the the DT A52264 2308 54 sine sine NN A52264 2308 55 of of IN A52264 2308 56 PC PC NNP A52264 2308 57 13.47 13.47 CD A52264 2308 58 . . . A52264 2309 1 9.367237 9.367237 CD A52264 2309 2 So so RB A52264 2309 3 is be VBZ A52264 2309 4 the the DT A52264 2309 5 tangent tangent NN A52264 2309 6 of of IN A52264 2309 7 CP CP NNP A52264 2309 8 1 1 CD A52264 2309 9 . . . A52264 2310 1 15 15 CD A52264 2310 2 . . . A52264 2311 1 9.428052 9.428052 CD A52264 2311 2 To to IN A52264 2311 3 the the DT A52264 2311 4 tangent tangent NN A52264 2311 5 of of IN A52264 2311 6 C C NNP A52264 2311 7 1 1 CD A52264 2311 8 3.57 3.57 CD A52264 2311 9 . . . A52264 2312 1 8.795289 8.795289 CD A52264 2312 2 And and CC A52264 2312 3 this this DT A52264 2312 4 being be VBG A52264 2312 5 all all PDT A52264 2312 6 the the DT A52264 2312 7 varieties variety NNS A52264 2312 8 , , , A52264 2312 9 save save VB A52264 2312 10 onely onely RB A52264 2312 11 increasing increase VBG A52264 2312 12 the the DT A52264 2312 13 angle angle NN A52264 2312 14 at at IN A52264 2312 15 P p NN A52264 2312 16 , , , A52264 2312 17 I -PRON- PRP A52264 2312 18 need need VBP A52264 2312 19 not not RB A52264 2312 20 reiterate reiterate VB A52264 2312 21 the the DT A52264 2312 22 work work NN A52264 2312 23 . . . A52264 2313 1 3 3 LS A52264 2313 2 . . . A52264 2314 1 Of of IN A52264 2314 2 South South NNP A52264 2314 3 reclining recline VBG A52264 2314 4 more more RBR A52264 2314 5 then then RB A52264 2314 6 the the DT A52264 2314 7 pole pole NN A52264 2314 8 . . . A52264 2315 1 This this DT A52264 2315 2 plane plane NN A52264 2315 3 in in IN A52264 2315 4 the the DT A52264 2315 5 fundamental fundamental JJ A52264 2315 6 Scheme Scheme NNP A52264 2315 7 is be VBZ A52264 2315 8 represented represent VBN A52264 2315 9 by by IN A52264 2315 10 the the DT A52264 2315 11 prickt prickt NNS A52264 2315 12 circle circle NN A52264 2315 13 EAW EAW NNP A52264 2315 14 , , , A52264 2315 15 of of IN A52264 2315 16 which which WDT A52264 2315 17 in in IN A52264 2315 18 the the DT A52264 2315 19 same same JJ A52264 2315 20 latitude latitude NN A52264 2315 21 let let VBD A52264 2315 22 the the DT A52264 2315 23 reclination reclination NN A52264 2315 24 be be VB A52264 2315 25 55 55 CD A52264 2315 26 degrees degree NNS A52264 2315 27 , , , A52264 2315 28 from from IN A52264 2315 29 which which WDT A52264 2315 30 if if IN A52264 2315 31 you -PRON- PRP A52264 2315 32 deduct deduct VBP A52264 2315 33 PZ PZ NNP A52264 2315 34 38 38 CD A52264 2315 35 deg deg NN A52264 2315 36 . . . A52264 2316 1 47 47 CD A52264 2316 2 min min NN A52264 2316 3 . . . A52264 2317 1 the the DT A52264 2317 2 complement complement NN A52264 2317 3 of of IN A52264 2317 4 the the DT A52264 2317 5 poles pole NNS A52264 2317 6 height height NN A52264 2317 7 , , , A52264 2317 8 there there EX A52264 2317 9 will will MD A52264 2317 10 remain remain VB A52264 2317 11 PA PA NNP A52264 2317 12 16 16 CD A52264 2317 13 deg deg NN A52264 2317 14 . . . A52264 2318 1 53 53 CD A52264 2318 2 min min NN A52264 2318 3 . . . A52264 2319 1 the the DT A52264 2319 2 height height NN A52264 2319 3 of of IN A52264 2319 4 the the DT A52264 2319 5 north north NNP A52264 2319 6 pole pole NNP A52264 2319 7 above above IN A52264 2319 8 the the DT A52264 2319 9 plane plane NN A52264 2319 10 , , , A52264 2319 11 and and CC A52264 2319 12 instead instead RB A52264 2319 13 of of IN A52264 2319 14 the the DT A52264 2319 15 triangle triangle NN A52264 2319 16 PC PC NNP A52264 2319 17 1 1 CD A52264 2319 18 , , , A52264 2319 19 in in IN A52264 2319 20 the the DT A52264 2319 21 former former JJ A52264 2319 22 plane plane NN A52264 2319 23 we -PRON- PRP A52264 2319 24 have have VBP A52264 2319 25 the the DT A52264 2319 26 triangle triangle NN A52264 2319 27 PA PA NNP A52264 2319 28 1 1 CD A52264 2319 29 , , , A52264 2319 30 in in IN A52264 2319 31 which which WDT A52264 2319 32 there there EX A52264 2319 33 is be VBZ A52264 2319 34 given give VBN A52264 2319 35 as as IN A52264 2319 36 before before IN A52264 2319 37 the the DT A52264 2319 38 angle angle NN A52264 2319 39 at at IN A52264 2319 40 P p NN A52264 2319 41 15 15 CD A52264 2319 42 deg deg NN A52264 2319 43 . . . A52264 2320 1 & & CC A52264 2320 2 the the DT A52264 2320 3 height height NN A52264 2320 4 of of IN A52264 2320 5 the the DT A52264 2320 6 pole pole NN A52264 2320 7 PA PA NNP A52264 2320 8 16 16 CD A52264 2320 9 deg deg NN A52264 2320 10 . . . A52264 2321 1 53 53 CD A52264 2321 2 min min NN A52264 2321 3 . . . A52264 2322 1 and and CC A52264 2322 2 therefore therefore RB A52264 2322 3 the the DT A52264 2322 4 same same JJ A52264 2322 5 proportion proportion NN A52264 2322 6 holds hold VBZ A52264 2322 7 : : : A52264 2322 8 for for IN A52264 2322 9 , , , A52264 2322 10 As as IN A52264 2322 11 the the DT A52264 2322 12 Radius Radius NNP A52264 2322 13 90 90 CD A52264 2322 14 , , , A52264 2322 15 10.000000 10.000000 CD A52264 2322 16 Is be VBZ A52264 2322 17 to to IN A52264 2322 18 the the DT A52264 2322 19 sine sine NN A52264 2322 20 of of IN A52264 2322 21 PA PA NNP A52264 2322 22 16.53 16.53 CD A52264 2322 23 . . . A52264 2323 1 9.454108 9.454108 CD A52264 2323 2 So so RB A52264 2323 3 is be VBZ A52264 2323 4 the the DT A52264 2323 5 tangent tangent NN A52264 2323 6 of of IN A52264 2323 7 A a DT A52264 2323 8 15 15 CD A52264 2323 9 . . . A52264 2324 1 9.428052 9.428052 CD A52264 2324 2 To to IN A52264 2324 3 the the DT A52264 2324 4 tangent tangent NN A52264 2324 5 of of IN A52264 2324 6 A a DT A52264 2324 7 1 1 CD A52264 2324 8 . . . A52264 2325 1 4.36 4.36 CD A52264 2325 2 . . . A52264 2326 1 8.882160 8.882160 CD A52264 2326 2 The the DT A52264 2326 3 rest rest NN A52264 2326 4 of of IN A52264 2326 5 the the DT A52264 2326 6 hours hour NNS A52264 2326 7 , , , A52264 2326 8 as as IN A52264 2326 9 in in IN A52264 2326 10 the the DT A52264 2326 11 former former JJ A52264 2326 12 , , , A52264 2326 13 are be VBP A52264 2326 14 thus thus RB A52264 2326 15 computed compute VBN A52264 2326 16 , , , A52264 2326 17 varying vary VBG A52264 2326 18 onely onely RB A52264 2326 19 the the DT A52264 2326 20 angle angle NN A52264 2326 21 at at IN A52264 2326 22 P. P. NNP A52264 2326 23 The the DT A52264 2326 24 Geometricall Geometricall NNP A52264 2326 25 Projection Projection NNP A52264 2326 26 . . . A52264 2327 1 These these DT A52264 2327 2 arches arch NNS A52264 2327 3 being be VBG A52264 2327 4 thus thus RB A52264 2327 5 found find VBN A52264 2327 6 , , , A52264 2327 7 to to TO A52264 2327 8 draw draw VB A52264 2327 9 the the DT A52264 2327 10 Dials Dials NNPS A52264 2327 11 true true JJ A52264 2327 12 , , , A52264 2327 13 consider consider VB A52264 2327 14 the the DT A52264 2327 15 Scheme Scheme NNP A52264 2327 16 , , , A52264 2327 17 wherein wherein WRB A52264 2327 18 so so RB A52264 2327 19 oft oft RB A52264 2327 20 as as IN A52264 2327 21 the the DT A52264 2327 22 plane plane NN A52264 2327 23 falleth falleth JJ A52264 2327 24 between between IN A52264 2327 25 Z Z NNP A52264 2327 26 and and CC A52264 2327 27 P p NN A52264 2327 28 , , , A52264 2327 29 the the DT A52264 2327 30 Zenith Zenith NNP A52264 2327 31 and and CC A52264 2327 32 the the DT A52264 2327 33 North North NNP A52264 2327 34 pole pole NN A52264 2327 35 , , , A52264 2327 36 the the DT A52264 2327 37 South South NNP A52264 2327 38 pole pole NN A52264 2327 39 is be VBZ A52264 2327 40 elevated elevate VBN A52264 2327 41 ; ; : A52264 2327 42 in in IN A52264 2327 43 all all PDT A52264 2327 44 the the DT A52264 2327 45 rest rest NN A52264 2327 46 the the DT A52264 2327 47 North North NNP A52264 2327 48 ; ; : A52264 2327 49 the the DT A52264 2327 50 substile substile NN A52264 2327 51 is be VBZ A52264 2327 52 in in IN A52264 2327 53 them -PRON- PRP A52264 2327 54 all all PDT A52264 2327 55 the the DT A52264 2327 56 meridian meridian NN A52264 2327 57 , , , A52264 2327 58 as as IN A52264 2327 59 in in IN A52264 2327 60 the the DT A52264 2327 61 direct direct JJ A52264 2327 62 North North NNP A52264 2327 63 and and CC A52264 2327 64 South South NNP A52264 2327 65 Dials Dials NNPS A52264 2327 66 ; ; : A52264 2327 67 in in IN A52264 2327 68 which which WDT A52264 2327 69 the the DT A52264 2327 70 stile stile NN A52264 2327 71 and and CC A52264 2327 72 hours hour NNS A52264 2327 73 are be VBP A52264 2327 74 to to TO A52264 2327 75 be be VB A52264 2327 76 placed place VBN A52264 2327 77 , , , A52264 2327 78 as as IN A52264 2327 79 was be VBD A52264 2327 80 for for IN A52264 2327 81 them -PRON- PRP A52264 2327 82 directed direct VBN A52264 2327 83 : : : A52264 2327 84 which which WDT A52264 2327 85 being be VBG A52264 2327 86 done do VBN A52264 2327 87 let let VB A52264 2327 88 the the DT A52264 2327 89 plane plane NN A52264 2327 90 reclining recline VBG A52264 2327 91 lesse lesse NN A52264 2327 92 then then RB A52264 2327 93 the the DT A52264 2327 94 pole pole NN A52264 2327 95 , , , A52264 2327 96 be be VB A52264 2327 97 raised raise VBN A52264 2327 98 above above IN A52264 2327 99 the the DT A52264 2327 100 horizon horizon NN A52264 2327 101 to to IN A52264 2327 102 an an DT A52264 2327 103 angle angle NN A52264 2327 104 equal equal JJ A52264 2327 105 to to IN A52264 2327 106 the the DT A52264 2327 107 complement complement NN A52264 2327 108 of of IN A52264 2327 109 reclination reclination NN A52264 2327 110 , , , A52264 2327 111 which which WDT A52264 2327 112 in in IN A52264 2327 113 our -PRON- PRP$ A52264 2327 114 example example NN A52264 2327 115 is be VBZ A52264 2327 116 to to IN A52264 2327 117 65 65 CD A52264 2327 118 degr degr NN A52264 2327 119 . . . A52264 2328 1 and and CC A52264 2328 2 the the DT A52264 2328 3 axis axi NNS A52264 2328 4 of of IN A52264 2328 5 the the DT A52264 2328 6 plane plane NN A52264 2328 7 point point NN A52264 2328 8 downwards downwards RB A52264 2328 9 ; ; : A52264 2328 10 and and CC A52264 2328 11 let let VB A52264 2328 12 all all DT A52264 2328 13 planes plane NNS A52264 2328 14 reclining recline VBG A52264 2328 15 more more RBR A52264 2328 16 then then RB A52264 2328 17 the the DT A52264 2328 18 pole pole NN A52264 2328 19 have have VBP A52264 2328 20 the the DT A52264 2328 21 hour hour NN A52264 2328 22 of of IN A52264 2328 23 12 12 CD A52264 2328 24 elevated elevate VBN A52264 2328 25 above above IN A52264 2328 26 the the DT A52264 2328 27 horizon horizon NN A52264 2328 28 to to IN A52264 2328 29 an an DT A52264 2328 30 angle angle NN A52264 2328 31 equal equal JJ A52264 2328 32 to to IN A52264 2328 33 the the DT A52264 2328 34 complement complement NN A52264 2328 35 of of IN A52264 2328 36 the the DT A52264 2328 37 reclination reclination NN A52264 2328 38 also also RB A52264 2328 39 , , , A52264 2328 40 that that DT A52264 2328 41 is be VBZ A52264 2328 42 in in IN A52264 2328 43 our -PRON- PRP$ A52264 2328 44 example example NN A52264 2328 45 , , , A52264 2328 46 to to IN A52264 2328 47 35 35 CD A52264 2328 48 deg deg NN A52264 2328 49 . . . A52264 2329 1 then then RB A52264 2329 2 shall shall MD A52264 2329 3 the the DT A52264 2329 4 axis axi NNS A52264 2329 5 point point VB A52264 2329 6 up up IN A52264 2329 7 to to IN A52264 2329 8 the the DT A52264 2329 9 North North NNP A52264 2329 10 pole pole NN A52264 2329 11 , , , A52264 2329 12 and and CC A52264 2329 13 the the DT A52264 2329 14 Diall Diall NNP A52264 2329 15 - - HYPH A52264 2329 16 fitted fit VBN A52264 2329 17 to to IN A52264 2329 18 the the DT A52264 2329 19 plane plane NN A52264 2329 20 . . . A52264 2330 1 Probl probl VB A52264 2330 2 . . . A52264 2331 1 10 10 CD A52264 2331 2 . . . A52264 2332 1 To to TO A52264 2332 2 draw draw VB A52264 2332 3 the the DT A52264 2332 4 hour hour NN A52264 2332 5 - - HYPH A52264 2332 6 lines line NNS A52264 2332 7 upon upon IN A52264 2332 8 any any DT A52264 2332 9 direct direct JJ A52264 2332 10 North North NNP A52264 2332 11 reclining recline VBG A52264 2332 12 or or CC A52264 2332 13 inclining incline VBG A52264 2332 14 plane plane NN A52264 2332 15 . . . A52264 2333 1 THe the DT A52264 2333 2 direct direct JJ A52264 2333 3 north north JJ A52264 2333 4 reclining recline VBG A52264 2333 5 planes plane NNS A52264 2333 6 have have VBP A52264 2333 7 the the DT A52264 2333 8 same same JJ A52264 2333 9 variety variety NN A52264 2333 10 that that WDT A52264 2333 11 the the DT A52264 2333 12 South South NNP A52264 2333 13 had have VBD A52264 2333 14 ; ; : A52264 2333 15 for for IN A52264 2333 16 either either CC A52264 2333 17 the the DT A52264 2333 18 plane plane NN A52264 2333 19 may may MD A52264 2333 20 recline recline VB A52264 2333 21 from from IN A52264 2333 22 the the DT A52264 2333 23 Zenith Zenith NNP A52264 2333 24 just just RB A52264 2333 25 to to IN A52264 2333 26 the the DT A52264 2333 27 Equinoctial Equinoctial NNP A52264 2333 28 , , , A52264 2333 29 and and CC A52264 2333 30 then then RB A52264 2333 31 it -PRON- PRP A52264 2333 32 is be VBZ A52264 2333 33 a a DT A52264 2333 34 Polar Polar NNP A52264 2333 35 plane plane NN A52264 2333 36 , , , A52264 2333 37 as as IN A52264 2333 38 I -PRON- PRP A52264 2333 39 called call VBD A52264 2333 40 it -PRON- PRP A52264 2333 41 before before RB A52264 2333 42 , , , A52264 2333 43 because because IN A52264 2333 44 the the DT A52264 2333 45 poles pole NNS A52264 2333 46 of of IN A52264 2333 47 the the DT A52264 2333 48 plane plane NN A52264 2333 49 lie lie NN A52264 2333 50 in in IN A52264 2333 51 the the DT A52264 2333 52 poles pole NNS A52264 2333 53 of of IN A52264 2333 54 the the DT A52264 2333 55 world world NN A52264 2333 56 ; ; , A52264 2333 57 or or CC A52264 2333 58 else else RB A52264 2333 59 the the DT A52264 2333 60 plane plane NN A52264 2333 61 may may MD A52264 2333 62 recline recline VB A52264 2333 63 more more RBR A52264 2333 64 or or CC A52264 2333 65 lesse lesse NNP A52264 2333 66 then then RB A52264 2333 67 the the DT A52264 2333 68 Equinoctial Equinoctial NNP A52264 2333 69 , , , A52264 2333 70 and and CC A52264 2333 71 consequently consequently RB A52264 2333 72 their -PRON- PRP$ A52264 2333 73 poles pole NNS A52264 2333 74 do do VBP A52264 2333 75 fall fall VB A52264 2333 76 above above IN A52264 2333 77 or or CC A52264 2333 78 under under IN A52264 2333 79 the the DT A52264 2333 80 poles pole NNS A52264 2333 81 of of IN A52264 2333 82 the the DT A52264 2333 83 world world NN A52264 2333 84 , , , A52264 2333 85 and and CC A52264 2333 86 the the DT A52264 2333 87 houre houre NN A52264 2333 88 lines line NNS A52264 2333 89 do do VBP A52264 2333 90 likewise likewise RB A52264 2333 91 differ differ VB A52264 2333 92 from from IN A52264 2333 93 the the DT A52264 2333 94 former former JJ A52264 2333 95 . . . A52264 2334 1 Of of IN A52264 2334 2 the the DT A52264 2334 3 Polar Polar NNP A52264 2334 4 plain plain NN A52264 2334 5 . . . A52264 2335 1 This this DT A52264 2335 2 place place NN A52264 2335 3 is be VBZ A52264 2335 4 well well RB A52264 2335 5 known known JJ A52264 2335 6 to to TO A52264 2335 7 be be VB A52264 2335 8 a a DT A52264 2335 9 Circle Circle NNP A52264 2335 10 divided divide VBN A52264 2335 11 into into IN A52264 2335 12 24 24 CD A52264 2335 13 equall equall NN A52264 2335 14 parts part NNS A52264 2335 15 , , , A52264 2335 16 which which WDT A52264 2335 17 may may MD A52264 2335 18 be be VB A52264 2335 19 done do VBN A52264 2335 20 by by IN A52264 2335 21 drawing draw VBG A52264 2335 22 a a DT A52264 2335 23 circle circle NN A52264 2335 24 with with IN A52264 2335 25 the the DT A52264 2335 26 line line NN A52264 2335 27 of of IN A52264 2335 28 Chords Chords NNPS A52264 2335 29 , , , A52264 2335 30 and and CC A52264 2335 31 then then RB A52264 2335 32 taking take VBG A52264 2335 33 the the DT A52264 2335 34 distance distance NN A52264 2335 35 of of IN A52264 2335 36 15 15 CD A52264 2335 37 degrees degree NNS A52264 2335 38 from from IN A52264 2335 39 the the DT A52264 2335 40 same same JJ A52264 2335 41 Chord Chord NNP A52264 2335 42 , , , A52264 2335 43 drawing draw VBG A52264 2335 44 streight streight JJ A52264 2335 45 lines line NNS A52264 2335 46 from from IN A52264 2335 47 the the DT A52264 2335 48 center center NN A52264 2335 49 through through IN A52264 2335 50 those those DT A52264 2335 51 equall equall NN A52264 2335 52 divisions division NNS A52264 2335 53 , , , A52264 2335 54 you -PRON- PRP A52264 2335 55 have have VBP A52264 2335 56 the the DT A52264 2335 57 houre houre NN A52264 2335 58 - - HYPH A52264 2335 59 lines line NNS A52264 2335 60 desired desire VBD A52264 2335 61 . . . A52264 2336 1 The the DT A52264 2336 2 houre houre NN A52264 2336 3 - - HYPH A52264 2336 4 lines line NNS A52264 2336 5 being be VBG A52264 2336 6 drawn draw VBN A52264 2336 7 , , , A52264 2336 8 erect erect VB A52264 2336 9 a a DT A52264 2336 10 streight streight JJ A52264 2336 11 pin pin NN A52264 2336 12 of of IN A52264 2336 13 wier wi JJR A52264 2336 14 upon upon IN A52264 2336 15 the the DT A52264 2336 16 center center NN A52264 2336 17 , , , A52264 2336 18 of of IN A52264 2336 19 wh wh NN A52264 2336 20 ● ● NFP A52264 2336 21 ● ● NFP A52264 2336 22 length length NN A52264 2336 23 you -PRON- PRP A52264 2336 24 please please VBP A52264 2336 25 , , , A52264 2336 26 and and CC A52264 2336 27 the the DT A52264 2336 28 Diall Diall NNP A52264 2336 29 is be VBZ A52264 2336 30 finished finish VBN A52264 2336 31 : : : A52264 2336 32 yet yet CC A52264 2336 33 seeing see VBG A52264 2336 34 our -PRON- PRP$ A52264 2336 35 Latitude Latitude NNP A52264 2336 36 is be VBZ A52264 2336 37 capable capable JJ A52264 2336 38 of of IN A52264 2336 39 no no DT A52264 2336 40 more more JJR A52264 2336 41 then then RB A52264 2336 42 16 16 CD A52264 2336 43 houres houre NNS A52264 2336 44 and and CC A52264 2336 45 a a DT A52264 2336 46 halfe halfe NN A52264 2336 47 , , , A52264 2336 48 the the DT A52264 2336 49 six six CD A52264 2336 50 houres houre NNS A52264 2336 51 next next IN A52264 2336 52 the the DT A52264 2336 53 South South NNP A52264 2336 54 part part NN A52264 2336 55 of of IN A52264 2336 56 the the DT A52264 2336 57 Meridian Meridian NNP A52264 2336 58 , , , A52264 2336 59 11 11 CD A52264 2336 60 , , , A52264 2336 61 10 10 CD A52264 2336 62 , , , A52264 2336 63 9 9 CD A52264 2336 64 , , , A52264 2336 65 1 1 CD A52264 2336 66 , , , A52264 2336 67 2 2 CD A52264 2336 68 , , , A52264 2336 69 and and CC A52264 2336 70 3 3 CD A52264 2336 71 , , , A52264 2336 72 may may MD A52264 2336 73 be be VB A52264 2336 74 left leave VBN A52264 2336 75 out out RP A52264 2336 76 as as IN A52264 2336 77 uselesse uselesse NNP A52264 2336 78 . . . A52264 2337 1 Nor nor CC A52264 2337 2 can can MD A52264 2337 3 the the DT A52264 2337 4 reclining recline VBG A52264 2337 5 face face NN A52264 2337 6 serve serve VB A52264 2337 7 any any RB A52264 2337 8 longer long RBR A52264 2337 9 then then RB A52264 2337 10 during during IN A52264 2337 11 the the DT A52264 2337 12 Suns Suns NNP A52264 2337 13 aboad aboad NN A52264 2337 14 in in IN A52264 2337 15 the the DT A52264 2337 16 North North NNP A52264 2337 17 part part NN A52264 2337 18 of of IN A52264 2337 19 the the DT A52264 2337 20 Zodiac Zodiac NNP A52264 2337 21 , , , A52264 2337 22 and and CC A52264 2337 23 the the DT A52264 2337 24 inclining incline VBG A52264 2337 25 face face VBP A52264 2337 26 the the DT A52264 2337 27 rest rest NN A52264 2337 28 of of IN A52264 2337 29 the the DT A52264 2337 30 year year NN A52264 2337 31 , , , A52264 2337 32 because because IN A52264 2337 33 this this DT A52264 2337 34 plain plain NN A52264 2337 35 is be VBZ A52264 2337 36 parallel parallel JJ A52264 2337 37 to to IN A52264 2337 38 the the DT A52264 2337 39 Equinoctial Equinoctial NNP A52264 2337 40 , , , A52264 2337 41 which which WDT A52264 2337 42 the the DT A52264 2337 43 Sun Sun NNP A52264 2337 44 crosseth crosseth NN A52264 2337 45 twice twice RB A52264 2337 46 in in IN A52264 2337 47 a a DT A52264 2337 48 year year NN A52264 2337 49 . . . A52264 2338 1 These these DT A52264 2338 2 things thing NNS A52264 2338 3 performed perform VBD A52264 2338 4 to to IN A52264 2338 5 your -PRON- PRP$ A52264 2338 6 liking liking NN A52264 2338 7 , , , A52264 2338 8 let let VB A52264 2338 9 the the DT A52264 2338 10 houre houre NN A52264 2338 11 of of IN A52264 2338 12 12 12 CD A52264 2338 13 be be VB A52264 2338 14 placed place VBN A52264 2338 15 upon upon IN A52264 2338 16 the the DT A52264 2338 17 Meridian Meridian NNP A52264 2338 18 , , , A52264 2338 19 and and CC A52264 2338 20 the the DT A52264 2338 21 whole whole JJ A52264 2338 22 plain plain NN A52264 2338 23 raised raise VBD A52264 2338 24 to to IN A52264 2338 25 an an DT A52264 2338 26 angle angle NN A52264 2338 27 equall equall NN A52264 2338 28 to to IN A52264 2338 29 the the DT A52264 2338 30 complement complement NN A52264 2338 31 of of IN A52264 2338 32 your -PRON- PRP$ A52264 2338 33 Latitude Latitude NNP A52264 2338 34 , , , A52264 2338 35 the the DT A52264 2338 36 which which WDT A52264 2338 37 in in IN A52264 2338 38 this this DT A52264 2338 39 example example NN A52264 2338 40 is be VBZ A52264 2338 41 38 38 CD A52264 2338 42 deg deg NN A52264 2338 43 . . . A52264 2339 1 47 47 CD A52264 2339 2 min min NN A52264 2339 3 . . . A52264 2340 1 so so RB A52264 2340 2 is be VBZ A52264 2340 3 this this DT A52264 2340 4 Polar Polar NNP A52264 2340 5 plain plain NN A52264 2340 6 and and CC A52264 2340 7 Diall Diall NNP A52264 2340 8 rectified rectify VBD A52264 2340 9 to to TO A52264 2340 10 shew shew VB A52264 2340 11 the the DT A52264 2340 12 true true JJ A52264 2340 13 houre houre NN A52264 2340 14 of of IN A52264 2340 15 the the DT A52264 2340 16 day day NN A52264 2340 17 . . . A52264 2341 1 2 2 LS A52264 2341 2 . . . A52264 2342 1 Of of IN A52264 2342 2 North North NNP A52264 2342 3 reclining recline VBG A52264 2342 4 less less RBR A52264 2342 5 then then RB A52264 2342 6 the the DT A52264 2342 7 Equator Equator NNP A52264 2342 8 . . . A52264 2343 1 The the DT A52264 2343 2 next next JJ A52264 2343 3 sort sort NN A52264 2343 4 is be VBZ A52264 2343 5 of of IN A52264 2343 6 such such JJ A52264 2343 7 reclining recline VBG A52264 2343 8 plains plain NNS A52264 2343 9 as as IN A52264 2343 10 fall fall NN A52264 2343 11 between between IN A52264 2343 12 the the DT A52264 2343 13 Zenith Zenith NNP A52264 2343 14 and and CC A52264 2343 15 the the DT A52264 2343 16 Equator equator NN A52264 2343 17 , , , A52264 2343 18 and and CC A52264 2343 19 in in IN A52264 2343 20 the the DT A52264 2343 21 Scheme Scheme NNP A52264 2343 22 is be VBZ A52264 2343 23 represented represent VBN A52264 2343 24 by by IN A52264 2343 25 the the DT A52264 2343 26 pricked pricked JJ A52264 2343 27 circle circle NN A52264 2343 28 EFW EFW NNP A52264 2343 29 , , , A52264 2343 30 supposed suppose VBN A52264 2343 31 to to TO A52264 2343 32 recline recline VB A52264 2343 33 25 25 CD A52264 2343 34 degrees degree NNS A52264 2343 35 from from IN A52264 2343 36 the the DT A52264 2343 37 Zenith Zenith NNP A52264 2343 38 , , , A52264 2343 39 which which WDT A52264 2343 40 being be VBG A52264 2343 41 added add VBN A52264 2343 42 to to IN A52264 2343 43 PZ PZ NNP A52264 2343 44 38 38 CD A52264 2343 45 deg deg NN A52264 2343 46 . . . A52264 2344 1 47 47 CD A52264 2344 2 min min NN A52264 2344 3 . . . A52264 2345 1 the the DT A52264 2345 2 complement complement NN A52264 2345 3 of of IN A52264 2345 4 the the DT A52264 2345 5 poles pole NNS A52264 2345 6 elevation elevation NN A52264 2345 7 , , , A52264 2345 8 the the DT A52264 2345 9 aggregate aggregate NN A52264 2345 10 is be VBZ A52264 2345 11 PF PF NNP A52264 2345 12 , , , A52264 2345 13 63 63 CD A52264 2345 14 deg deg NN A52264 2345 15 . . . A52264 2346 1 47 47 CD A52264 2346 2 min min NN A52264 2346 3 . . . A52264 2347 1 the the DT A52264 2347 2 height height NN A52264 2347 3 of of IN A52264 2347 4 the the DT A52264 2347 5 Pole Pole NNP A52264 2347 6 or or CC A52264 2347 7 stile stile NN A52264 2347 8 above above IN A52264 2347 9 the the DT A52264 2347 10 plane plane NN A52264 2347 11 . . . A52264 2348 1 And and CC A52264 2348 2 therefore therefore RB A52264 2348 3 in in IN A52264 2348 4 the the DT A52264 2348 5 triangle triangle NN A52264 2348 6 PF1 PF1 NNP A52264 2348 7 , , , A52264 2348 8 we -PRON- PRP A52264 2348 9 have have VBP A52264 2348 10 given give VBN A52264 2348 11 PF PF NNP A52264 2348 12 , , , A52264 2348 13 and and CC A52264 2348 14 the the DT A52264 2348 15 angle angle NN A52264 2348 16 at at IN A52264 2348 17 P p NN A52264 2348 18 , , , A52264 2348 19 to to IN A52264 2348 20 finde finde NNP A52264 2348 21 F1 F1 NNP A52264 2348 22 , , , A52264 2348 23 the the DT A52264 2348 24 first first JJ A52264 2348 25 houres houre NNS A52264 2348 26 distance distance NN A52264 2348 27 from from IN A52264 2348 28 the the DT A52264 2348 29 Meridian Meridian NNP A52264 2348 30 upon upon IN A52264 2348 31 the the DT A52264 2348 32 plain plain NN A52264 2348 33 , , , A52264 2348 34 for for IN A52264 2348 35 which which WDT A52264 2348 36 the the DT A52264 2348 37 proportion proportion NN A52264 2348 38 is be VBZ A52264 2348 39 , , , A52264 2348 40 As as IN A52264 2348 41 the the DT A52264 2348 42 Radius Radius NNP A52264 2348 43 , , , A52264 2348 44 90 90 CD A52264 2348 45 , , , A52264 2348 46 10.000000 10.000000 CD A52264 2348 47 Is be VBZ A52264 2348 48 to to IN A52264 2348 49 the the DT A52264 2348 50 sine sine NN A52264 2348 51 of of IN A52264 2348 52 PF PF NNP A52264 2348 53 , , , A52264 2348 54 63.47 63.47 CD A52264 2348 55 9.951677 9.951677 CD A52264 2348 56 So so RB A52264 2348 57 is be VBZ A52264 2348 58 the the DT A52264 2348 59 tangent tangent NN A52264 2348 60 of of IN A52264 2348 61 FP1 FP1 NNP A52264 2348 62 , , , A52264 2348 63 15 15 CD A52264 2348 64 9.428052 9.428052 CD A52264 2348 65 To to IN A52264 2348 66 the the DT A52264 2348 67 Tangent Tangent NNP A52264 2348 68 of of IN A52264 2348 69 F1 F1 NNP A52264 2348 70 , , , A52264 2348 71 13.48 13.48 CD A52264 2348 72 9.379729 9.379729 CD A52264 2348 73 In in IN A52264 2348 74 computing compute VBG A52264 2348 75 the the DT A52264 2348 76 other other JJ A52264 2348 77 houre houre NN A52264 2348 78 distances distance NNS A52264 2348 79 there there EX A52264 2348 80 is be VBZ A52264 2348 81 no no DT A52264 2348 82 other other JJ A52264 2348 83 variety variety NN A52264 2348 84 but but CC A52264 2348 85 increasing increase VBG A52264 2348 86 the the DT A52264 2348 87 angle angle NN A52264 2348 88 at at IN A52264 2348 89 P p NN A52264 2348 90 as as IN A52264 2348 91 before before IN A52264 2348 92 we -PRON- PRP A52264 2348 93 shewed shew VBD A52264 2348 94 . . . A52264 2349 1 3 3 LS A52264 2349 2 . . . A52264 2350 1 Of of IN A52264 2350 2 North North NNP A52264 2350 3 reclining recline VBG A52264 2350 4 more more JJR A52264 2350 5 then then RB A52264 2350 6 the the DT A52264 2350 7 Equator Equator NNP A52264 2350 8 . . . A52264 2351 1 The the DT A52264 2351 2 last last JJ A52264 2351 3 sort sort NN A52264 2351 4 is be VBZ A52264 2351 5 of of IN A52264 2351 6 such such JJ A52264 2351 7 reclining recline VBG A52264 2351 8 plain plain JJ A52264 2351 9 ; ; : A52264 2351 10 as as IN A52264 2351 11 fall fall NN A52264 2351 12 between between IN A52264 2351 13 the the DT A52264 2351 14 Horizon Horizon NNP A52264 2351 15 and and CC A52264 2351 16 Equator Equator NNP A52264 2351 17 , , , A52264 2351 18 represented represent VBN A52264 2351 19 in in IN A52264 2351 20 the the DT A52264 2351 21 fundamental fundamental JJ A52264 2351 22 Scheme Scheme NNP A52264 2351 23 by by IN A52264 2351 24 the the DT A52264 2351 25 prickt prickt NNS A52264 2351 26 circle circle NNP A52264 2351 27 EBW EBW NNP A52264 2351 28 , , , A52264 2351 29 supposed suppose VBN A52264 2351 30 to to TO A52264 2351 31 recline recline VB A52264 2351 32 70 70 CD A52264 2351 33 deg deg NN A52264 2351 34 . . . A52264 2352 1 And and CC A52264 2352 2 because because IN A52264 2352 3 the the DT A52264 2352 4 Equator equator NN A52264 2352 5 cutteth cutteth VBP A52264 2352 6 the the DT A52264 2352 7 Axis Axis NNP A52264 2352 8 of of IN A52264 2352 9 the the DT A52264 2352 10 world world NN A52264 2352 11 at at IN A52264 2352 12 right right JJ A52264 2352 13 angles angle NNS A52264 2352 14 , , , A52264 2352 15 all all DT A52264 2352 16 planes plane NNS A52264 2352 17 that that WDT A52264 2352 18 are be VBP A52264 2352 19 parallel parallel JJ A52264 2352 20 thereunto thereunto NNS A52264 2352 21 have have VBP A52264 2352 22 the the DT A52264 2352 23 height height NN A52264 2352 24 of of IN A52264 2352 25 their -PRON- PRP$ A52264 2352 26 stiles stile NNS A52264 2352 27 full full JJ A52264 2352 28 90 90 CD A52264 2352 29 deg deg NN A52264 2352 30 . . . A52264 2353 1 above above IN A52264 2353 2 the the DT A52264 2353 3 plane plane NN A52264 2353 4 : : : A52264 2353 5 and and CC A52264 2353 6 by by IN A52264 2353 7 how how WRB A52264 2353 8 much much JJ A52264 2353 9 any any DT A52264 2353 10 plane plane NN A52264 2353 11 reclineth reclineth NN A52264 2353 12 from from IN A52264 2353 13 the the DT A52264 2353 14 Zenith Zenith NNP A52264 2353 15 , , , A52264 2353 16 more more JJR A52264 2353 17 then then RB A52264 2353 18 the the DT A52264 2353 19 Equator Equator NNP A52264 2353 20 , , , A52264 2353 21 by by IN A52264 2353 22 so so RB A52264 2353 23 much much RB A52264 2353 24 less less JJR A52264 2353 25 then then RB A52264 2353 26 90 90 CD A52264 2353 27 is be VBZ A52264 2353 28 the the DT A52264 2353 29 height height NN A52264 2353 30 of of IN A52264 2353 31 the the DT A52264 2353 32 stile stile NN A52264 2353 33 proper proper JJ A52264 2353 34 to to IN A52264 2353 35 it -PRON- PRP A52264 2353 36 , , , A52264 2353 37 and and CC A52264 2353 38 therefore therefore RB A52264 2353 39 if if IN A52264 2353 40 you -PRON- PRP A52264 2353 41 adde adde VBP A52264 2353 42 PZ PZ NNP A52264 2353 43 38 38 CD A52264 2353 44 deg deg NN A52264 2353 45 . . . A52264 2354 1 47 47 CD A52264 2354 2 min min NN A52264 2354 3 . . . A52264 2355 1 the the DT A52264 2355 2 height height NN A52264 2355 3 of of IN A52264 2355 4 the the DT A52264 2355 5 Equator Equator NNP A52264 2355 6 , , , A52264 2355 7 unto unto IN A52264 2355 8 ZB ZB NNP A52264 2355 9 70 70 CD A52264 2355 10 deg deg NN A52264 2355 11 . . . A52264 2356 1 the the DT A52264 2356 2 reclination reclination NN A52264 2356 3 of of IN A52264 2356 4 the the DT A52264 2356 5 plain plain NN A52264 2356 6 , , , A52264 2356 7 the the DT A52264 2356 8 totall totall NN A52264 2356 9 is be VBZ A52264 2356 10 PB PB NNP A52264 2356 11 108 108 CD A52264 2356 12 deg deg NNP A52264 2356 13 . . . A52264 2357 1 47 47 CD A52264 2357 2 mi mi NNP A52264 2357 3 . . . A52264 2358 1 whose whose WP$ A52264 2358 2 complemenc complemenc NN A52264 2358 3 to to IN A52264 2358 4 180 180 CD A52264 2358 5 is be VBZ A52264 2358 6 the the DT A52264 2358 7 arch arch JJ A52264 2358 8 BS BS NNP A52264 2358 9 , , , A52264 2358 10 71 71 CD A52264 2358 11 deg deg NN A52264 2358 12 . . . A52264 2359 1 53 53 CD A52264 2359 2 min min NN A52264 2359 3 . . . A52264 2360 1 the the DT A52264 2360 2 height height NN A52264 2360 3 of of IN A52264 2360 4 the the DT A52264 2360 5 pole pole NN A52264 2360 6 above above IN A52264 2360 7 the the DT A52264 2360 8 plain plain NN A52264 2360 9 . . . A52264 2361 1 To to TO A52264 2361 2 calculate calculate VB A52264 2361 3 the the DT A52264 2361 4 houre houre NN A52264 2361 5 lines line NNS A52264 2361 6 thereof thereof RB A52264 2361 7 , , , A52264 2361 8 we -PRON- PRP A52264 2361 9 must must MD A52264 2361 10 suppose suppose VB A52264 2361 11 the the DT A52264 2361 12 Meridian Meridian NNP A52264 2361 13 PFB PFB NNP A52264 2361 14 and and CC A52264 2361 15 the the DT A52264 2361 16 houre houre NN A52264 2361 17 circles circle NNS A52264 2361 18 P1 p1 NN A52264 2361 19 , , , A52264 2361 20 P2 P2 NNP A52264 2361 21 , , , A52264 2361 22 P3 P3 NNP A52264 2361 23 , , , A52264 2361 24 & & CC A52264 2361 25 c. c. NNP A52264 2361 26 to to TO A52264 2361 27 be be VB A52264 2361 28 continued continue VBN A52264 2361 29 till till IN A52264 2361 30 they -PRON- PRP A52264 2361 31 meet meet VBP A52264 2361 32 in in IN A52264 2361 33 the the DT A52264 2361 34 South South NNP A52264 2361 35 pole pole NN A52264 2361 36 , , , A52264 2361 37 then then RB A52264 2361 38 will will MD A52264 2361 39 the the DT A52264 2361 40 proportion proportion NN A52264 2361 41 be be VB A52264 2361 42 the the DT A52264 2361 43 same same JJ A52264 2361 44 as as IN A52264 2361 45 before before RB A52264 2361 46 . . . A52264 2362 1 As as IN A52264 2362 2 the the DT A52264 2362 3 Radius Radius NNP A52264 2362 4 , , , A52264 2362 5 90 90 CD A52264 2362 6 , , , A52264 2362 7 10.000000 10.000000 CD A52264 2362 8 To to IN A52264 2362 9 the the DT A52264 2362 10 sine sine NN A52264 2362 11 of of IN A52264 2362 12 PB PB NNP A52264 2362 13 , , , A52264 2362 14 71.53 71.53 CD A52264 2362 15 9.977033 9.977033 CD A52264 2362 16 So so RB A52264 2362 17 is be VBZ A52264 2362 18 the the DT A52264 2362 19 tangent tangent NN A52264 2362 20 of of IN A52264 2362 21 1PB 1pb CD A52264 2362 22 , , , A52264 2362 23 15 15 CD A52264 2362 24 9.428052 9.428052 CD A52264 2362 25 To to IN A52264 2362 26 the the DT A52264 2362 27 tangent tangent NN A52264 2362 28 of of IN A52264 2362 29 B1 b1 NN A52264 2362 30 , , , A52264 2362 31 14.27 14.27 CD A52264 2362 32 9.405085 9.405085 CD A52264 2362 33 And and CC A52264 2362 34 so so RB A52264 2362 35 are be VBP A52264 2362 36 the the DT A52264 2362 37 other other JJ A52264 2362 38 houre houre NN A52264 2362 39 distances distance NNS A52264 2362 40 to to TO A52264 2362 41 be be VB A52264 2362 42 computed compute VBN A52264 2362 43 , , , A52264 2362 44 as as IN A52264 2362 45 in in IN A52264 2362 46 all all PDT A52264 2362 47 the the DT A52264 2362 48 other other JJ A52264 2362 49 planes plane NNS A52264 2362 50 . . . A52264 2363 1 The the DT A52264 2363 2 Geometricall Geometricall NNP A52264 2363 3 Projection Projection NNP A52264 2363 4 . . . A52264 2364 1 The the DT A52264 2364 2 projection projection NN A52264 2364 3 of of IN A52264 2364 4 these these DT A52264 2364 5 planes plane NNS A52264 2364 6 is be VBZ A52264 2364 7 but but CC A52264 2364 8 little little JJ A52264 2364 9 differing differing JJ A52264 2364 10 from from IN A52264 2364 11 those those DT A52264 2364 12 in in IN A52264 2364 13 the the DT A52264 2364 14 last last JJ A52264 2364 15 Probl Probl NNP A52264 2364 16 . . . A52264 2365 1 for for IN A52264 2365 2 the the DT A52264 2365 3 placing place VBG A52264 2365 4 the the DT A52264 2365 5 hours hour NNS A52264 2365 6 and and CC A52264 2365 7 erecting erect VBG A52264 2365 8 the the DT A52264 2365 9 stile stile NN A52264 2365 10 , , , A52264 2365 11 they -PRON- PRP A52264 2365 12 are be VBP A52264 2365 13 the the DT A52264 2365 14 same same JJ A52264 2365 15 , , , A52264 2365 16 and and CC A52264 2365 17 must must MD A52264 2365 18 be be VB A52264 2365 19 elevated elevate VBN A52264 2365 20 to to IN A52264 2365 21 an an DT A52264 2365 22 angle angle NN A52264 2365 23 above above IN A52264 2365 24 the the DT A52264 2365 25 horizon horizon NN A52264 2365 26 equall equall NN A52264 2365 27 to to IN A52264 2365 28 the the DT A52264 2365 29 complement complement NN A52264 2365 30 of of IN A52264 2365 31 their -PRON- PRP$ A52264 2365 32 reclinations reclination NNS A52264 2365 33 , , , A52264 2365 34 which which WDT A52264 2365 35 in in IN A52264 2365 36 the the DT A52264 2365 37 North North NNP A52264 2365 38 reclining recline VBG A52264 2365 39 lesse lesse NN A52264 2365 40 then then RB A52264 2365 41 the the DT A52264 2365 42 Equator equator NN A52264 2365 43 is be VBZ A52264 2365 44 in in IN A52264 2365 45 our -PRON- PRP$ A52264 2365 46 example example NN A52264 2365 47 65 65 CD A52264 2365 48 degrees degree NNS A52264 2365 49 , , , A52264 2365 50 and and CC A52264 2365 51 in in IN A52264 2365 52 this this DT A52264 2365 53 plane plane NN A52264 2365 54 the the DT A52264 2365 55 houres houre NNS A52264 2365 56 about about IN A52264 2365 57 the the DT A52264 2365 58 meridian meridian NN A52264 2365 59 , , , A52264 2365 60 that that RB A52264 2365 61 is is RB A52264 2365 62 , , , A52264 2365 63 from from IN A52264 2365 64 10 10 CD A52264 2365 65 in in IN A52264 2365 66 the the DT A52264 2365 67 morning morning NN A52264 2365 68 till till IN A52264 2365 69 2 2 CD A52264 2365 70 in in IN A52264 2365 71 the the DT A52264 2365 72 afternoon afternoon NN A52264 2365 73 , , , A52264 2365 74 can can MD A52264 2365 75 never never RB A52264 2365 76 receive receive VB A52264 2365 77 any any DT A52264 2365 78 shadow shadow NN A52264 2365 79 , , , A52264 2365 80 by by IN A52264 2365 81 reason reason NN A52264 2365 82 of of IN A52264 2365 83 the the DT A52264 2365 84 planes plane NNS A52264 2365 85 small small JJ A52264 2365 86 reclination reclination NN A52264 2365 87 from from IN A52264 2365 88 the the DT A52264 2365 89 Zenith Zenith NNP A52264 2365 90 , , , A52264 2365 91 and and CC A52264 2365 92 therefore therefore RB A52264 2365 93 needlesse needlesse NNP A52264 2365 94 to to TO A52264 2365 95 put put VB A52264 2365 96 them -PRON- PRP A52264 2365 97 on on RP A52264 2365 98 . . . A52264 2366 1 In in IN A52264 2366 2 the the DT A52264 2366 3 North North NNP A52264 2366 4 reclining recline VBG A52264 2366 5 more more JJR A52264 2366 6 then then RB A52264 2366 7 the the DT A52264 2366 8 Equator Equator NNP A52264 2366 9 , , , A52264 2366 10 the the DT A52264 2366 11 plane plane NN A52264 2366 12 in in IN A52264 2366 13 our -PRON- PRP$ A52264 2366 14 example example NN A52264 2366 15 must must MD A52264 2366 16 be be VB A52264 2366 17 elevated elevate VBN A52264 2366 18 120 120 CD A52264 2366 19 degr degr NN A52264 2366 20 . . . A52264 2367 1 above above IN A52264 2367 2 the the DT A52264 2367 3 horizon horizon NN A52264 2367 4 , , , A52264 2367 5 and and CC A52264 2367 6 the the DT A52264 2367 7 stiles stile NNS A52264 2367 8 of of IN A52264 2367 9 both both DT A52264 2367 10 must must MD A52264 2367 11 point point VB A52264 2367 12 to to IN A52264 2367 13 the the DT A52264 2367 14 North North NNP A52264 2367 15 pole pole NN A52264 2367 16 . . . A52264 2368 1 Lastly lastly RB A52264 2368 2 , , , A52264 2368 3 as as IN A52264 2368 4 all all DT A52264 2368 5 other other JJ A52264 2368 6 planes plane NNS A52264 2368 7 have have VBP A52264 2368 8 two two CD A52264 2368 9 faces face NNS A52264 2368 10 respecting respect VBG A52264 2368 11 the the DT A52264 2368 12 contrary contrary JJ A52264 2368 13 parts part NNS A52264 2368 14 of of IN A52264 2368 15 the the DT A52264 2368 16 heavens heavens NNPS A52264 2368 17 ; ; : A52264 2368 18 so so CC A52264 2368 19 these these DT A52264 2368 20 recliners recliner NNS A52264 2368 21 have have VBP A52264 2368 22 opposite opposite JJ A52264 2368 23 sides side NNS A52264 2368 24 , , , A52264 2368 25 look look VBP A52264 2368 26 downwards downwards RB A52264 2368 27 the the DT A52264 2368 28 Nadir Nadir NNP A52264 2368 29 , , , A52264 2368 30 as as IN A52264 2368 31 those those DT A52264 2368 32 do do VBP A52264 2368 33 towards towards IN A52264 2368 34 the the DT A52264 2368 35 Zenith Zenith NNP A52264 2368 36 , , , A52264 2368 37 and and CC A52264 2368 38 may may MD A52264 2368 39 be be VB A52264 2368 40 therefore therefore RB A52264 2368 41 made make VBN A52264 2368 42 by by IN A52264 2368 43 the the DT A52264 2368 44 same same JJ A52264 2368 45 rules rule NNS A52264 2368 46 ; ; : A52264 2368 47 or or CC A52264 2368 48 if if IN A52264 2368 49 you -PRON- PRP A52264 2368 50 will will MD A52264 2368 51 spare spare VB A52264 2368 52 that that DT A52264 2368 53 labour labour NN A52264 2368 54 , , , A52264 2368 55 and and CC A52264 2368 56 make make VB A52264 2368 57 the the DT A52264 2368 58 same same JJ A52264 2368 59 Dials dial NNS A52264 2368 60 serve serve VB A52264 2368 61 for for IN A52264 2368 62 the the DT A52264 2368 63 opposite opposite JJ A52264 2368 64 sides side NNS A52264 2368 65 , , , A52264 2368 66 turn turn VB A52264 2368 67 the the DT A52264 2368 68 centers center NNS A52264 2368 69 of of IN A52264 2368 70 the the DT A52264 2368 71 incliners incliner NNS A52264 2368 72 downwards downwards RB A52264 2368 73 , , , A52264 2368 74 which which WDT A52264 2368 75 were be VBD A52264 2368 76 upwards upwards JJ A52264 2368 77 in in IN A52264 2368 78 the the DT A52264 2368 79 recliners recliner NNS A52264 2368 80 ; ; : A52264 2368 81 and and CC A52264 2368 82 those those DT A52264 2368 83 upwards upwards JJ A52264 2368 84 in in IN A52264 2368 85 the the DT A52264 2368 86 incliners incliner NNS A52264 2368 87 which which WDT A52264 2368 88 were be VBD A52264 2368 89 downwards downwards RB A52264 2368 90 in in IN A52264 2368 91 the the DT A52264 2368 92 recliners recliner NNS A52264 2368 93 , , , A52264 2368 94 and and CC A52264 2368 95 after after IN A52264 2368 96 this this DT A52264 2368 97 conversion conversion NN A52264 2368 98 , , , A52264 2368 99 let let VB A52264 2368 100 the the DT A52264 2368 101 hours hour NNS A52264 2368 102 on on IN A52264 2368 103 the the DT A52264 2368 104 right right JJ A52264 2368 105 hand hand NN A52264 2368 106 of of IN A52264 2368 107 the the DT A52264 2368 108 meridian meridian NN A52264 2368 109 in in IN A52264 2368 110 the the DT A52264 2368 111 recliner recliner NN A52264 2368 112 become become VBN A52264 2368 113 on on IN A52264 2368 114 the the DT A52264 2368 115 left left JJ A52264 2368 116 hand hand NN A52264 2368 117 in in IN A52264 2368 118 the the DT A52264 2368 119 incliner incliner NN A52264 2368 120 , , , A52264 2368 121 and and CC A52264 2368 122 contrarily contrarily RB A52264 2368 123 ; ; : A52264 2368 124 so so RB A52264 2368 125 have have VBP A52264 2368 126 you -PRON- PRP A52264 2368 127 done do VBN A52264 2368 128 what what WP A52264 2368 129 you -PRON- PRP A52264 2368 130 desired desire VBD A52264 2368 131 : : : A52264 2368 132 and and CC A52264 2368 133 this this DT A52264 2368 134 is be VBZ A52264 2368 135 a a DT A52264 2368 136 general general JJ A52264 2368 137 rule rule NN A52264 2368 138 for for IN A52264 2368 139 the the DT A52264 2368 140 opposite opposite JJ A52264 2368 141 sides side NNS A52264 2368 142 of of IN A52264 2368 143 all all DT A52264 2368 144 planes plane NNS A52264 2368 145 . . . A52264 2369 1 Probl probl VB A52264 2369 2 . . . A52264 2370 1 11 11 CD A52264 2370 2 . . . A52264 2371 1 To to TO A52264 2371 2 draw draw VB A52264 2371 3 the the DT A52264 2371 4 hour hour NN A52264 2371 5 - - HYPH A52264 2371 6 lines line NNS A52264 2371 7 upon upon IN A52264 2371 8 a a DT A52264 2371 9 declining decline VBG A52264 2371 10 reclining reclining NN A52264 2371 11 , , , A52264 2371 12 or or CC A52264 2371 13 declining decline VBG A52264 2371 14 inclining incline VBG A52264 2371 15 plane plane NN A52264 2371 16 . . . A52264 2372 1 DEclining decline VBG A52264 2372 2 reclining recline VBG A52264 2372 3 planes plane NNS A52264 2372 4 have have VBP A52264 2372 5 the the DT A52264 2372 6 same same JJ A52264 2372 7 varieties variety NNS A52264 2372 8 that that WDT A52264 2372 9 were be VBD A52264 2372 10 in in IN A52264 2372 11 the the DT A52264 2372 12 former former JJ A52264 2372 13 reclining recline VBG A52264 2372 14 North North NNP A52264 2372 15 and and CC A52264 2372 16 South South NNP A52264 2372 17 ; ; : A52264 2372 18 for for IN A52264 2372 19 either either CC A52264 2372 20 the the DT A52264 2372 21 declination declination NN A52264 2372 22 may may MD A52264 2372 23 be be VB A52264 2372 24 such such JJ A52264 2372 25 , , , A52264 2372 26 that that IN A52264 2372 27 the the DT A52264 2372 28 reclining recline VBG A52264 2372 29 plane plane NN A52264 2372 30 will will MD A52264 2372 31 fall fall VB A52264 2372 32 just just RB A52264 2372 33 upon upon IN A52264 2372 34 the the DT A52264 2372 35 pole pole NN A52264 2372 36 , , , A52264 2372 37 and and CC A52264 2372 38 then then RB A52264 2372 39 it -PRON- PRP A52264 2372 40 is be VBZ A52264 2372 41 called call VBN A52264 2372 42 a a DT A52264 2372 43 declining decline VBG A52264 2372 44 Equinoctial equinoctial NN A52264 2372 45 ; ; : A52264 2372 46 or or CC A52264 2372 47 it -PRON- PRP A52264 2372 48 may may MD A52264 2372 49 fall fall VB A52264 2372 50 above above IN A52264 2372 51 or or CC A52264 2372 52 under under IN A52264 2372 53 the the DT A52264 2372 54 pole pole NN A52264 2372 55 , , , A52264 2372 56 and and CC A52264 2372 57 then then RB A52264 2372 58 it -PRON- PRP A52264 2372 59 is be VBZ A52264 2372 60 called call VBN A52264 2372 61 a a DT A52264 2372 62 South South NNP A52264 2372 63 declining decline VBG A52264 2372 64 cast cast NN A52264 2372 65 and and CC A52264 2372 66 west west NNP A52264 2372 67 recliner recliner NNP A52264 2372 68 : : : A52264 2372 69 on on IN A52264 2372 70 the the DT A52264 2372 71 other other JJ A52264 2372 72 side side NN A52264 2372 73 the the DT A52264 2372 74 declination declination NN A52264 2372 75 may may MD A52264 2372 76 be be VB A52264 2372 77 such such JJ A52264 2372 78 , , , A52264 2372 79 that that IN A52264 2372 80 the the DT A52264 2372 81 reclining recline VBG A52264 2372 82 plane plane NN A52264 2372 83 shall shall MD A52264 2372 84 fall fall VB A52264 2372 85 just just RB A52264 2372 86 upon upon IN A52264 2372 87 the the DT A52264 2372 88 intersection intersection NN A52264 2372 89 of of IN A52264 2372 90 the the DT A52264 2372 91 Meridian Meridian NNP A52264 2372 92 and and CC A52264 2372 93 Equator Equator NNP A52264 2372 94 ; ; : A52264 2372 95 and and CC A52264 2372 96 then then RB A52264 2372 97 it -PRON- PRP A52264 2372 98 is be VBZ A52264 2372 99 called call VBN A52264 2372 100 a a DT A52264 2372 101 declining decline VBG A52264 2372 102 polar polar NN A52264 2372 103 ; ; : A52264 2372 104 or or CC A52264 2372 105 it -PRON- PRP A52264 2372 106 may may MD A52264 2372 107 fall fall VB A52264 2372 108 above above IN A52264 2372 109 or or CC A52264 2372 110 under under IN A52264 2372 111 the the DT A52264 2372 112 said say VBN A52264 2372 113 intersection intersection NN A52264 2372 114 , , , A52264 2372 115 and and CC A52264 2372 116 then then RB A52264 2372 117 it -PRON- PRP A52264 2372 118 is be VBZ A52264 2372 119 called call VBN A52264 2372 120 a a DT A52264 2372 121 North North NNP A52264 2372 122 declining decline VBG A52264 2372 123 East East NNP A52264 2372 124 and and CC A52264 2372 125 West West NNP A52264 2372 126 recliner recliner NN A52264 2372 127 . . . A52264 2373 1 The the DT A52264 2373 2 three three CD A52264 2373 3 varieties variety NNS A52264 2373 4 of of IN A52264 2373 5 South South NNP A52264 2373 6 recliners recliner NNS A52264 2373 7 are be VBP A52264 2373 8 represented represent VBN A52264 2373 9 by by IN A52264 2373 10 the the DT A52264 2373 11 three three CD A52264 2373 12 circles circle NNS A52264 2373 13 , , , A52264 2373 14 AHB AHB NNP A52264 2373 15 falling fall VBG A52264 2373 16 between between IN A52264 2373 17 the the DT A52264 2373 18 pole pole NN A52264 2373 19 of of IN A52264 2373 20 the the DT A52264 2373 21 world world NN A52264 2373 22 and and CC A52264 2373 23 the the DT A52264 2373 24 Zenith Zenith NNP A52264 2373 25 : : : A52264 2373 26 AGB AGB NNP A52264 2373 27 just just RB A52264 2373 28 upon upon IN A52264 2373 29 the the DT A52264 2373 30 pole pole NN A52264 2373 31 ; ; : A52264 2373 32 and and CC A52264 2373 33 AEB AEB NNP A52264 2373 34 between between IN A52264 2373 35 the the DT A52264 2373 36 pole pole NN A52264 2373 37 and and CC A52264 2373 38 the the DT A52264 2373 39 horizon horizon NN A52264 2373 40 : : : A52264 2373 41 and and CC A52264 2373 42 the the DT A52264 2373 43 particular particular JJ A52264 2373 44 pole pole NN A52264 2373 45 of of IN A52264 2373 46 each each DT A52264 2373 47 plane plane NN A52264 2373 48 is be VBZ A52264 2373 49 so so RB A52264 2373 50 much much RB A52264 2373 51 elevated elevate VBN A52264 2373 52 above above IN A52264 2373 53 the the DT A52264 2373 54 horizon horizon NN A52264 2373 55 , , , A52264 2373 56 ( ( -LRB- A52264 2373 57 upon upon IN A52264 2373 58 the the DT A52264 2373 59 azimuth azimuth NN A52264 2373 60 ) ) -RRB- A52264 2373 61 DZC dzc NN A52264 2373 62 , , , A52264 2373 63 crossing cross VBG A52264 2373 64 the the DT A52264 2373 65 base base NN A52264 2373 66 at at IN A52264 2373 67 right right JJ A52264 2373 68 angles angle NNS A52264 2373 69 ) ) -RRB- A52264 2373 70 as as IN A52264 2373 71 the the DT A52264 2373 72 plane plane NN A52264 2373 73 it -PRON- PRP A52264 2373 74 self self VBP A52264 2373 75 reclines recline NNS A52264 2373 76 from from IN A52264 2373 77 the the DT A52264 2373 78 Zenith Zenith NNP A52264 2373 79 , , , A52264 2373 80 noted note VBN A52264 2373 81 in in IN A52264 2373 82 the the DT A52264 2373 83 Scheme Scheme NNP A52264 2373 84 , , , A52264 2373 85 with with IN A52264 2373 86 I -PRON- PRP A52264 2373 87 , , , A52264 2373 88 K K NNP A52264 2373 89 , , , A52264 2373 90 and and CC A52264 2373 91 L. L. NNP A52264 2373 92 1 1 CD A52264 2373 93 . . . A52264 2374 1 Of of IN A52264 2374 2 the the DT A52264 2374 3 Equinoctiall Equinoctiall NNP A52264 2374 4 declining decline VBG A52264 2374 5 and and CC A52264 2374 6 reclining recline VBG A52264 2374 7 plane plane NN A52264 2374 8 . . . A52264 2375 1 This this DT A52264 2375 2 plane plane NN A52264 2375 3 represented represent VBN A52264 2375 4 by by IN A52264 2375 5 the the DT A52264 2375 6 circle circle NN A52264 2375 7 AGB AGB NNP A52264 2375 8 , , , A52264 2375 9 hath hath VB A52264 2375 10 his -PRON- PRP$ A52264 2375 11 base base NN A52264 2375 12 AZB AZB NNP A52264 2375 13 declining decline VBG A52264 2375 14 30 30 CD A52264 2375 15 degrees degree NNS A52264 2375 16 from from IN A52264 2375 17 the the DT A52264 2375 18 East East NNP A52264 2375 19 and and CC A52264 2375 20 West West NNP A52264 2375 21 line line NN A52264 2375 22 EZW EZW NNP A52264 2375 23 equal equal JJ A52264 2375 24 to to IN A52264 2375 25 the the DT A52264 2375 26 declination declination NN A52264 2375 27 of of IN A52264 2375 28 the the DT A52264 2375 29 South South NNP A52264 2375 30 pole pole NN A52264 2375 31 thereof thereof IN A52264 2375 32 30 30 CD A52264 2375 33 degrees degree NNS A52264 2375 34 from from IN A52264 2375 35 S S NNP A52264 2375 36 the the DT A52264 2375 37 South South NNP A52264 2375 38 part part NN A52264 2375 39 of of IN A52264 2375 40 the the DT A52264 2375 41 Meridian Meridian NNP A52264 2375 42 Easterly easterly RB A52264 2375 43 unto unto IN A52264 2375 44 D d NN A52264 2375 45 , , , A52264 2375 46 reclining recline VBG A52264 2375 47 from from IN A52264 2375 48 the the DT A52264 2375 49 Zenith Zenith NNP A52264 2375 50 upon upon IN A52264 2375 51 the the DT A52264 2375 52 azimuth azimuth NN A52264 2375 53 CZD CZD NNP A52264 2375 54 the the DT A52264 2375 55 quantity quantity NN A52264 2375 56 ZG ZG NNP A52264 2375 57 34 34 CD A52264 2375 58 degrees degree NNS A52264 2375 59 , , , A52264 2375 60 53 53 CD A52264 2375 61 min min NN A52264 2375 62 . . . A52264 2376 1 and and CC A52264 2376 2 Passeth Passeth NNP A52264 2376 3 through through IN A52264 2376 4 the the DT A52264 2376 5 pole pole NN A52264 2376 6 at at IN A52264 2376 7 P. P. NNP A52264 2376 8 Set Set NNP A52264 2376 9 off off RP A52264 2376 10 the the DT A52264 2376 11 reclination reclination NN A52264 2376 12 ZG ZG NNP A52264 2376 13 , , , A52264 2376 14 from from IN A52264 2376 15 D d NN A52264 2376 16 to to IN A52264 2376 17 K K NNP A52264 2376 18 , , , A52264 2376 19 and and CC A52264 2376 20 K K NNP A52264 2376 21 shall shall MD A52264 2376 22 represent represent VB A52264 2376 23 the the DT A52264 2376 24 pole pole NN A52264 2376 25 of of IN A52264 2376 26 the the DT A52264 2376 27 reclining recline VBG A52264 2376 28 plane plane NN A52264 2376 29 so so RB A52264 2376 30 much much RB A52264 2376 31 elevated elevate VBN A52264 2376 32 above above IN A52264 2376 33 the the DT A52264 2376 34 horizon horizon NN A52264 2376 35 at at IN A52264 2376 36 D D NNP A52264 2376 37 , , , A52264 2376 38 as as IN A52264 2376 39 the the DT A52264 2376 40 circle circle NN A52264 2376 41 AGB AGB NNP A52264 2376 42 representing represent VBG A52264 2376 43 the the DT A52264 2376 44 plane plane NN A52264 2376 45 declineth declineth NN A52264 2376 46 from from IN A52264 2376 47 the the DT A52264 2376 48 Zenith Zenith NNP A52264 2376 49 Z Z NNP A52264 2376 50 , , , A52264 2376 51 from from IN A52264 2376 52 P p NN A52264 2376 53 the the DT A52264 2376 54 pole pole NN A52264 2376 55 of of IN A52264 2376 56 the the DT A52264 2376 57 world world NN A52264 2376 58 , , , A52264 2376 59 to to IN A52264 2376 60 K K NNP A52264 2376 61 the the DT A52264 2376 62 pole pole NN A52264 2376 63 of of IN A52264 2376 64 the the DT A52264 2376 65 plane plane NN A52264 2376 66 , , , A52264 2376 67 draw draw VB A52264 2376 68 an an DT A52264 2376 69 arch arch NN A52264 2376 70 of of IN A52264 2376 71 a a DT A52264 2376 72 great great JJ A52264 2376 73 circle circle NN A52264 2376 74 PK pk NN A52264 2376 75 , , , A52264 2376 76 thereby thereby RB A52264 2376 77 the the DT A52264 2376 78 better well JJR A52264 2376 79 to to TO A52264 2376 80 informe informe VB A52264 2376 81 the the DT A52264 2376 82 fancie fancie NN A52264 2376 83 in in IN A52264 2376 84 the the DT A52264 2376 85 rest rest NN A52264 2376 86 of of IN A52264 2376 87 the the DT A52264 2376 88 work work NN A52264 2376 89 . . . A52264 2377 1 And and CC A52264 2377 2 if if IN A52264 2377 3 any any DT A52264 2377 4 be be VB A52264 2377 5 desirous desirous JJ A52264 2377 6 , , , A52264 2377 7 to to IN A52264 2377 8 any any DT A52264 2377 9 declination declination NN A52264 2377 10 given give VBN A52264 2377 11 , , , A52264 2377 12 to to TO A52264 2377 13 fit fit VB A52264 2377 14 a a DT A52264 2377 15 plane plane NN A52264 2377 16 reclining recline VBG A52264 2377 17 just just RB A52264 2377 18 to to IN A52264 2377 19 the the DT A52264 2377 20 pole pole NN A52264 2377 21 : : : A52264 2377 22 or or CC A52264 2377 23 any any DT A52264 2377 24 reclination reclination NN A52264 2377 25 being be VBG A52264 2377 26 given give VBN A52264 2377 27 , , , A52264 2377 28 to to TO A52264 2377 29 finde finde VB A52264 2377 30 the the DT A52264 2377 31 declination declination NN A52264 2377 32 proper proper JJ A52264 2377 33 to to IN A52264 2377 34 it -PRON- PRP A52264 2377 35 , , , A52264 2377 36 this this DT A52264 2377 37 Diagram Diagram NNP A52264 2377 38 will will MD A52264 2377 39 satisfie satisfie VB A52264 2377 40 them -PRON- PRP A52264 2377 41 therein therein RB A52264 2377 42 : : : A52264 2377 43 for for IN A52264 2377 44 in in IN A52264 2377 45 the the DT A52264 2377 46 Triangle Triangle NNP A52264 2377 47 ZGP ZGP NNP A52264 2377 48 , , , A52264 2377 49 we -PRON- PRP A52264 2377 50 have have VBP A52264 2377 51 limited limit VBN A52264 2377 52 , , , A52264 2377 53 First first RB A52264 2377 54 , , , A52264 2377 55 the the DT A52264 2377 56 hypothenusal hypothenusal NN A52264 2377 57 PZ PZ NNP A52264 2377 58 38 38 CD A52264 2377 59 degrees degree NNS A52264 2377 60 , , , A52264 2377 61 47 47 CD A52264 2377 62 min min NN A52264 2377 63 . . . A52264 2378 1 Secondly secondly RB A52264 2378 2 , , , A52264 2378 3 the the DT A52264 2378 4 angle angle NN A52264 2378 5 at at IN A52264 2378 6 the the DT A52264 2378 7 base base NN A52264 2378 8 PZG PZG NNP A52264 2378 9 , , , A52264 2378 10 the the DT A52264 2378 11 planes plane NNS A52264 2378 12 declination declination NN A52264 2378 13 30 30 CD A52264 2378 14 degrees degree NNS A52264 2378 15 . . . A52264 2379 1 Hence hence RB A52264 2379 2 to to TO A52264 2379 3 finde finde VB A52264 2379 4 the the DT A52264 2379 5 base base NN A52264 2379 6 GZ GZ NNP A52264 2379 7 , , , A52264 2379 8 by by IN A52264 2379 9 the the DT A52264 2379 10 seventh seventh JJ A52264 2379 11 case case NN A52264 2379 12 of of IN A52264 2379 13 right right JJ A52264 2379 14 angled angle VBN A52264 2379 15 spherical spherical JJ A52264 2379 16 triangles triangle NNS A52264 2379 17 , , , A52264 2379 18 the the DT A52264 2379 19 proportion proportion NN A52264 2379 20 is be VBZ A52264 2379 21 ; ; : A52264 2379 22 As as IN A52264 2379 23 the the DT A52264 2379 24 Radius Radius NNP A52264 2379 25 90 90 CD A52264 2379 26 , , , A52264 2379 27 10.000000 10.000000 CD A52264 2379 28 To to IN A52264 2379 29 the the DT A52264 2379 30 co co NN A52264 2379 31 - - NN A52264 2379 32 sine sine NN A52264 2379 33 of of IN A52264 2379 34 GZP GZP NNP A52264 2379 35 30 30 CD A52264 2379 36 ; ; : A52264 2379 37 9.937531 9.937531 CD A52264 2379 38 So so IN A52264 2379 39 the the DT A52264 2379 40 tangent tangent NN A52264 2379 41 of of IN A52264 2379 42 PZ PZ NNP A52264 2379 43 38.47 38.47 CD A52264 2379 44 . . . A52264 2380 1 9.900138 9.900138 CD A52264 2380 2 To to IN A52264 2380 3 the the DT A52264 2380 4 tangent tangent NN A52264 2380 5 of of IN A52264 2380 6 GZ GZ NNP A52264 2380 7 34.53 34.53 CD A52264 2380 8 . . . A52264 2381 1 9.837669 9.837669 CD A52264 2381 2 the the DT A52264 2381 3 reclination reclination NN A52264 2381 4 required require VBN A52264 2381 5 . . . A52264 2382 1 If if IN A52264 2382 2 the the DT A52264 2382 3 declination declination NN A52264 2382 4 be be VB A52264 2382 5 required require VBN A52264 2382 6 to to IN A52264 2382 7 a a DT A52264 2382 8 reclination reclination NN A52264 2382 9 given give VBN A52264 2382 10 , , , A52264 2382 11 then then RB A52264 2382 12 by by IN A52264 2382 13 the the DT A52264 2382 14 13 13 CD A52264 2382 15 case case NN A52264 2382 16 of of IN A52264 2382 17 right right JJ A52264 2382 18 angled angle VBN A52264 2382 19 spherical spherical JJ A52264 2382 20 triangles triangle NNS A52264 2382 21 , , , A52264 2382 22 the the DT A52264 2382 23 proportion proportion NN A52264 2382 24 is be VBZ A52264 2382 25 As as IN A52264 2382 26 the the DT A52264 2382 27 Radius Radius NNP A52264 2382 28 90 90 CD A52264 2382 29 , , , A52264 2382 30 10.000000 10.000000 CD A52264 2382 31 To to IN A52264 2382 32 the the DT A52264 2382 33 tangent tangent NN A52264 2382 34 of of IN A52264 2382 35 ZG ZG NNP A52264 2382 36 34.53 34.53 CD A52264 2382 37 . . . A52264 2383 1 9.837669 9.837669 CD A52264 2383 2 So so IN A52264 2383 3 the the DT A52264 2383 4 co co JJ A52264 2383 5 - - NN A52264 2383 6 tangent tangent NN A52264 2383 7 of of IN A52264 2383 8 PZ PZ NNP A52264 2383 9 38.47 38.47 CD A52264 2383 10 . . . A52264 2384 1 10.099861 10.099861 CD A52264 2384 2 o o IN A52264 2384 3 the the DT A52264 2384 4 co co NN A52264 2384 5 - - NN A52264 2384 6 sine sine NN A52264 2384 7 of of IN A52264 2384 8 GZP GZP NNP A52264 2384 9 39 39 CD A52264 2384 10 . . . A52264 2385 1 9.937530 9.937530 CD A52264 2385 2 And and CC A52264 2385 3 now now RB A52264 2385 4 to to TO A52264 2385 5 calculate calculate VB A52264 2385 6 the the DT A52264 2385 7 hour hour NN A52264 2385 8 - - HYPH A52264 2385 9 lines line NNS A52264 2385 10 of of IN A52264 2385 11 this this DT A52264 2385 12 Diall Diall NNP A52264 2385 13 , , , A52264 2385 14 you -PRON- PRP A52264 2385 15 are be VBP A52264 2385 16 to to TO A52264 2385 17 finde finde VB A52264 2385 18 two two CD A52264 2385 19 things thing NNS A52264 2385 20 : : : A52264 2385 21 first first RB A52264 2385 22 , , , A52264 2385 23 the the DT A52264 2385 24 arch arch NN A52264 2385 25 of of IN A52264 2385 26 the the DT A52264 2385 27 plane plane NN A52264 2385 28 , , , A52264 2385 29 or or CC A52264 2385 30 distance distance NN A52264 2385 31 of of IN A52264 2385 32 the the DT A52264 2385 33 meridian meridian NNP A52264 2385 34 and and CC A52264 2385 35 substile substile JJ A52264 2385 36 from from IN A52264 2385 37 the the DT A52264 2385 38 horizontal horizontal JJ A52264 2385 39 line line NN A52264 2385 40 , , , A52264 2385 41 which which WDT A52264 2385 42 in in IN A52264 2385 43 this this DT A52264 2385 44 Scheme Scheme NNP A52264 2385 45 is be VBZ A52264 2385 46 PB PB NNP A52264 2385 47 , , , A52264 2385 48 the the DT A52264 2385 49 intersection intersection NN A52264 2385 50 of of IN A52264 2385 51 the the DT A52264 2385 52 reclining recline VBG A52264 2385 53 plane plane NN A52264 2385 54 with with IN A52264 2385 55 the the DT A52264 2385 56 horizon horizon NN A52264 2385 57 , , , A52264 2385 58 being be VBG A52264 2385 59 at at IN A52264 2385 60 B. B. NNP A52264 2386 1 And and CC A52264 2386 2 secondly secondly RB A52264 2386 3 , , , A52264 2386 4 the the DT A52264 2386 5 distance distance NN A52264 2386 6 of of IN A52264 2386 7 the the DT A52264 2386 8 meridian meridian NN A52264 2386 9 of of IN A52264 2386 10 the the DT A52264 2386 11 place place NN A52264 2386 12 SZPN SZPN VBD A52264 2386 13 , , , A52264 2386 14 from from IN A52264 2386 15 the the DT A52264 2386 16 meridian meridian NN A52264 2386 17 of of IN A52264 2386 18 the the DT A52264 2386 19 plane plane NN A52264 2386 20 PK PK NNP A52264 2386 21 , , , A52264 2386 22 which which WDT A52264 2386 23 being be VBG A52264 2386 24 had have VBN A52264 2386 25 , , , A52264 2386 26 the the DT A52264 2386 27 Diall Diall NNP A52264 2386 28 is be VBZ A52264 2386 29 easily easily RB A52264 2386 30 made make VBN A52264 2386 31 . . . A52264 2387 1 Wherefore Wherefore VBN A52264 2387 2 in in IN A52264 2387 3 the the DT A52264 2387 4 triangle triangle NN A52264 2387 5 ZGP ZGP NNP A52264 2387 6 , , , A52264 2387 7 right right RB A52264 2387 8 angled angle VBD A52264 2387 9 at at IN A52264 2387 10 G g NN A52264 2387 11 , , , A52264 2387 12 you -PRON- PRP A52264 2387 13 have have VBP A52264 2387 14 the the DT A52264 2387 15 angle angle NN A52264 2387 16 GZP GZP NNP A52264 2387 17 given give VBN A52264 2387 18 30 30 CD A52264 2387 19 degrees degree NNS A52264 2387 20 , , , A52264 2387 21 the the DT A52264 2387 22 declination declination NN A52264 2387 23 ; ; : A52264 2387 24 and and CC A52264 2387 25 ZP ZP NNP A52264 2387 26 38 38 CD A52264 2387 27 degr degr NN A52264 2387 28 . . . A52264 2388 1 47 47 CD A52264 2388 2 min min NN A52264 2388 3 . . . A52264 2389 1 the the DT A52264 2389 2 complement complement NN A52264 2389 3 of of IN A52264 2389 4 the the DT A52264 2389 5 Pole Pole NNP A52264 2389 6 ; ; : A52264 2389 7 to to TO A52264 2389 8 finde finde NNP A52264 2389 9 GP GP NNP A52264 2389 10 : : : A52264 2389 11 and and CC A52264 2389 12 therefore therefore RB A52264 2389 13 , , , A52264 2389 14 by by IN A52264 2389 15 the the DT A52264 2389 16 eighth eighth JJ A52264 2389 17 case case NN A52264 2389 18 of of IN A52264 2389 19 right right JJ A52264 2389 20 angled angle VBN A52264 2389 21 spherical spherical JJ A52264 2389 22 triangles triangle NNS A52264 2389 23 , , , A52264 2389 24 the the DT A52264 2389 25 proportion proportion NN A52264 2389 26 is be VBZ A52264 2389 27 : : : A52264 2389 28 As as IN A52264 2389 29 the the DT A52264 2389 30 Radius Radius NNP A52264 2389 31 , , , A52264 2389 32 90 90 CD A52264 2389 33 10.000000 10.000000 CD A52264 2389 34 To to IN A52264 2389 35 the the DT A52264 2389 36 sine sine NN A52264 2389 37 of of IN A52264 2389 38 ZP ZP NNP A52264 2389 39 , , , A52264 2389 40 38.47 38.47 CD A52264 2389 41 9.793863 9.793863 CD A52264 2389 42 So so RB A52264 2389 43 is be VBZ A52264 2389 44 the the DT A52264 2389 45 sine sine NN A52264 2389 46 of of IN A52264 2389 47 GZP GZP NNP A52264 2389 48 , , , A52264 2389 49 30 30 CD A52264 2389 50 9.698970 9.698970 CD A52264 2389 51 To to IN A52264 2389 52 the the DT A52264 2389 53 sine sine NN A52264 2389 54 of of IN A52264 2389 55 GP GP NNP A52264 2389 56 , , , A52264 2389 57 18.12 18.12 CD A52264 2389 58 9.492833 9.492833 CD A52264 2389 59 Who who WP A52264 2389 60 s s NNPS A52264 2389 61 's 's POS A52264 2389 62 complement complement NN A52264 2389 63 71 71 CD A52264 2389 64 deg deg NN A52264 2389 65 . . . A52264 2390 1 88 88 CD A52264 2390 2 min min NN A52264 2390 3 . . . A52264 2391 1 is be VBZ A52264 2391 2 the the DT A52264 2391 3 arch arch JJ A52264 2391 4 PB PB NNP A52264 2391 5 desired desire VBD A52264 2391 6 . . . A52264 2392 1 The the DT A52264 2392 2 second second JJ A52264 2392 3 thing thing NN A52264 2392 4 to to TO A52264 2392 5 be be VB A52264 2392 6 found find VBN A52264 2392 7 is be VBZ A52264 2392 8 the the DT A52264 2392 9 distance distance NN A52264 2392 10 of of IN A52264 2392 11 the the DT A52264 2392 12 Meridian Meridian NNP A52264 2392 13 of of IN A52264 2392 14 the the DT A52264 2392 15 place place NN A52264 2392 16 , , , A52264 2392 17 which which WDT A52264 2392 18 is be VBZ A52264 2392 19 the the DT A52264 2392 20 houre houre NN A52264 2392 21 of of IN A52264 2392 22 12 12 CD A52264 2392 23 from from IN A52264 2392 24 the the DT A52264 2392 25 substile substile NN A52264 2392 26 or or CC A52264 2392 27 meridian meridian NN A52264 2392 28 of of IN A52264 2392 29 the the DT A52264 2392 30 plane plane NN A52264 2392 31 , , , A52264 2392 32 represented represent VBN A52264 2392 33 by by IN A52264 2392 34 the the DT A52264 2392 35 angle angle NN A52264 2392 36 ZPG ZPG NNP A52264 2392 37 , , , A52264 2392 38 which which WDT A52264 2392 39 may may MD A52264 2392 40 be be VB A52264 2392 41 found find VBN A52264 2392 42 by by IN A52264 2392 43 the the DT A52264 2392 44 11 11 CD A52264 2392 45 Case case NN A52264 2392 46 of of IN A52264 2392 47 right right JJ A52264 2392 48 angled angle VBN A52264 2392 49 sphericall sphericall NN A52264 2392 50 Triangles Triangles NNPS A52264 2392 51 , , , A52264 2392 52 for for CC A52264 2392 53 As as IN A52264 2392 54 the the DT A52264 2392 55 Radius Radius NNP A52264 2392 56 , , , A52264 2392 57 90 90 CD A52264 2392 58 10.000000 10.000000 CD A52264 2392 59 Is be VBZ A52264 2392 60 to to IN A52264 2392 61 the the DT A52264 2392 62 sine sine NN A52264 2392 63 of of IN A52264 2392 64 GP GP NNP A52264 2392 65 , , , A52264 2392 66 18.12 18.12 CD A52264 2392 67 9.492833 9.492833 CD A52264 2392 68 So so RB A52264 2392 69 is be VBZ A52264 2392 70 the the DT A52264 2392 71 co co JJ A52264 2392 72 - - NN A52264 2392 73 tang tang JJ A52264 2392 74 . . . A52264 2393 1 of of IN A52264 2393 2 GZ GZ NNP A52264 2393 3 , , , A52264 2393 4 34.53 34.53 CD A52264 2393 5 10.162379 10.162379 CD A52264 2393 6 To to IN A52264 2393 7 the the DT A52264 2393 8 co co NN A52264 2393 9 - - NN A52264 2393 10 tang tang JJ A52264 2393 11 . . . A52264 2394 1 of of IN A52264 2394 2 GPZ GPZ NNP A52264 2394 3 , , , A52264 2394 4 65.68 65.68 CD A52264 2394 5 9.655212 9.655212 CD A52264 2394 6 Who who WP A52264 2394 7 s s POS A52264 2394 8 's 's POS A52264 2394 9 complement complement NN A52264 2394 10 is be VBZ A52264 2394 11 ZPK ZPK NNP A52264 2394 12 24 24 CD A52264 2394 13 deg deg NN A52264 2394 14 . . . A52264 2395 1 32 32 CD A52264 2395 2 min min NN A52264 2395 3 . . . A52264 2396 1 the the DT A52264 2396 2 arch arch NN A52264 2396 3 desired desire VBD A52264 2396 4 . . . A52264 2397 1 Now now RB A52264 2397 2 because because IN A52264 2397 3 24 24 CD A52264 2397 4 deg deg NN A52264 2397 5 . . . A52264 2398 1 32 32 CD A52264 2398 2 min min NN A52264 2398 3 . . . A52264 2399 1 is be VBZ A52264 2399 2 more more JJR A52264 2399 3 then then RB A52264 2399 4 15 15 CD A52264 2399 5 deg deg NN A52264 2399 6 . . . A52264 2400 1 one one CD A52264 2400 2 houres houre VBZ A52264 2400 3 distance distance NN A52264 2400 4 from from IN A52264 2400 5 the the DT A52264 2400 6 Meridian Meridian NNP A52264 2400 7 , , , A52264 2400 8 and and CC A52264 2400 9 lesse lesse NNP A52264 2400 10 then then RB A52264 2400 11 30 30 CD A52264 2400 12 deg deg NN A52264 2400 13 . . . A52264 2401 1 two two CD A52264 2401 2 houres houre NNS A52264 2401 3 distance distance NN A52264 2401 4 , , , A52264 2401 5 I -PRON- PRP A52264 2401 6 conclude conclude VBP A52264 2401 7 that that IN A52264 2401 8 the the DT A52264 2401 9 stile stile NN A52264 2401 10 shall shall MD A52264 2401 11 fall fall VB A52264 2401 12 between between IN A52264 2401 13 10 10 CD A52264 2401 14 and and CC A52264 2401 15 11 11 CD A52264 2401 16 of of IN A52264 2401 17 the the DT A52264 2401 18 clock clock NN A52264 2401 19 on on IN A52264 2401 20 the the DT A52264 2401 21 West West NNP A52264 2401 22 side side NN A52264 2401 23 of of IN A52264 2401 24 the the DT A52264 2401 25 Meridian Meridian NNP A52264 2401 26 , , , A52264 2401 27 because because IN A52264 2401 28 the the DT A52264 2401 29 plain plain JJ A52264 2401 30 declineth declineth NNP A52264 2401 31 East East NNP A52264 2401 32 : : : A52264 2401 33 if if IN A52264 2401 34 then then RB A52264 2401 35 you -PRON- PRP A52264 2401 36 take take VBP A52264 2401 37 15 15 CD A52264 2401 38 deg deg NN A52264 2401 39 , , , A52264 2401 40 from from IN A52264 2401 41 24 24 CD A52264 2401 42 deg deg NN A52264 2401 43 . . . A52264 2402 1 32 32 CD A52264 2402 2 min min NN A52264 2402 3 . . . A52264 2403 1 there there EX A52264 2403 2 shall shall MD A52264 2403 3 remain remain VB A52264 2403 4 9 9 CD A52264 2403 5 deg deg NN A52264 2403 6 . . . A52264 2404 1 32 32 CD A52264 2404 2 min min NN A52264 2404 3 . . . A52264 2405 1 for for IN A52264 2405 2 the the DT A52264 2405 3 Equinoctiall Equinoctiall NNP A52264 2405 4 distance distance NN A52264 2405 5 of of IN A52264 2405 6 the the DT A52264 2405 7 11 11 CD A52264 2405 8 a a DT A52264 2405 9 clock clock NN A52264 2405 10 houre houre NN A52264 2405 11 line line NN A52264 2405 12 from from IN A52264 2405 13 the the DT A52264 2405 14 substile substile NN A52264 2405 15 , , , A52264 2405 16 and and CC A52264 2405 17 taking take VBG A52264 2405 18 24 24 CD A52264 2405 19 deg deg NN A52264 2405 20 . . . A52264 2406 1 32 32 CD A52264 2406 2 min min NN A52264 2406 3 . . . A52264 2407 1 out out IN A52264 2407 2 of of IN A52264 2407 3 30 30 CD A52264 2407 4 deg deg NN A52264 2407 5 . . . A52264 2408 1 there there EX A52264 2408 2 shall shall MD A52264 2408 3 remain remain VB A52264 2408 4 5 5 CD A52264 2408 5 deg deg NN A52264 2408 6 . . . A52264 2409 1 68 68 CD A52264 2409 2 min min NN A52264 2409 3 . . . A52264 2410 1 for for IN A52264 2410 2 the the DT A52264 2410 3 distance distance NN A52264 2410 4 of of IN A52264 2410 5 the the DT A52264 2410 6 houre houre NN A52264 2410 7 of of IN A52264 2410 8 10 10 CD A52264 2410 9 from from IN A52264 2410 10 the the DT A52264 2410 11 substile substile NN A52264 2410 12 : : : A52264 2410 13 the the DT A52264 2410 14 rest rest NN A52264 2410 15 of of IN A52264 2410 16 the the DT A52264 2410 17 houre houre NN A52264 2410 18 distances distance NNS A52264 2410 19 are be VBP A52264 2410 20 easily easily RB A52264 2410 21 found find VBN A52264 2410 22 by by IN A52264 2410 23 continual continual JJ A52264 2410 24 addition addition NN A52264 2410 25 of of IN A52264 2410 26 15 15 CD A52264 2410 27 deg deg NN A52264 2410 28 . . . A52264 2411 1 Unto unto IN A52264 2411 2 these these DT A52264 2411 3 houre houre NN A52264 2411 4 distances distance NNS A52264 2411 5 joyn joyn VBP A52264 2411 6 the the DT A52264 2411 7 naturall naturall NN A52264 2411 8 tangents tangent VBZ A52264 2411 9 as as IN A52264 2411 10 in in IN A52264 2411 11 the the DT A52264 2411 12 East East NNP A52264 2411 13 and and CC A52264 2411 14 West West NNP A52264 2411 15 Dials Dials NNPS A52264 2411 16 , , , A52264 2411 17 which which WDT A52264 2411 18 will will MD A52264 2411 19 give give VB A52264 2411 20 you -PRON- PRP A52264 2411 21 the the DT A52264 2411 22 true true JJ A52264 2411 23 distāces distāce NNS A52264 2411 24 of of IN A52264 2411 25 each each DT A52264 2411 26 houre houre NN A52264 2411 27 from from IN A52264 2411 28 the the DT A52264 2411 29 substile substile NN A52264 2411 30 , , , A52264 2411 31 the the DT A52264 2411 32 plane plane NN A52264 2411 33 being be VBG A52264 2411 34 projected project VBN A52264 2411 35 as as IN A52264 2411 36 in in IN A52264 2411 37 the the DT A52264 2411 38 5 5 CD A52264 2411 39 Pro Pro NNP A52264 2411 40 . . . A52264 2412 1 for for IN A52264 2412 2 the the DT A52264 2412 3 east east NNP A52264 2412 4 & & CC A52264 2412 5 west west NNP A52264 2412 6 dials dial NNS A52264 2412 7 , , , A52264 2412 8 or or CC A52264 2412 9 as as IN A52264 2412 10 in in IN A52264 2412 11 the the DT A52264 2412 12 8 8 CD A52264 2412 13 Prob Prob NNP A52264 2412 14 . . . A52264 2413 1 for for IN A52264 2413 2 the the DT A52264 2413 3 Equinoctial Equinoctial NNP A52264 2413 4 , , , A52264 2413 5 according accord VBG A52264 2413 6 to to IN A52264 2413 7 which which WDT A52264 2413 8 rules rule NNS A52264 2413 9 you -PRON- PRP A52264 2413 10 may may MD A52264 2413 11 proportion proportion VB A52264 2413 12 the the DT A52264 2413 13 length length NN A52264 2413 14 of of IN A52264 2413 15 the the DT A52264 2413 16 stile stile NN A52264 2413 17 also also RB A52264 2413 18 , , , A52264 2413 19 which which WDT A52264 2413 20 being be VBG A52264 2413 21 erected erect VBN A52264 2413 22 over over IN A52264 2413 23 the the DT A52264 2413 24 substile substile NN A52264 2413 25 , , , A52264 2413 26 and and CC A52264 2413 27 the the DT A52264 2413 28 Diall Diall NNP A52264 2413 29 placed place VBD A52264 2413 30 according accord VBG A52264 2413 31 to to IN A52264 2413 32 the the DT A52264 2413 33 declination declination NN A52264 2413 34 30 30 CD A52264 2413 35 deg deg NN A52264 2413 36 . . . A52264 2414 1 easterly easterly RB A52264 2414 2 , , , A52264 2414 3 and and CC A52264 2414 4 the the DT A52264 2414 5 whole whole JJ A52264 2414 6 plain plain NN A52264 2414 7 raised raise VBD A52264 2414 8 to to IN A52264 2414 9 an an DT A52264 2414 10 angle angle NN A52264 2414 11 of of IN A52264 2414 12 55 55 CD A52264 2414 13 deg deg NN A52264 2414 14 . . . A52264 2415 1 47 47 CD A52264 2415 2 min min NN A52264 2415 3 . . . A52264 2416 1 the the DT A52264 2416 2 complement complement NN A52264 2416 3 of of IN A52264 2416 4 the the DT A52264 2416 5 reclination reclination NN A52264 2416 6 , , , A52264 2416 7 the the DT A52264 2416 8 shadow shadow NN A52264 2416 9 of of IN A52264 2416 10 the the DT A52264 2416 11 stile stile NN A52264 2416 12 shall shall MD A52264 2416 13 give give VB A52264 2416 14 the the DT A52264 2416 15 houre houre NN A52264 2416 16 of of IN A52264 2416 17 the the DT A52264 2416 18 day day NN A52264 2416 19 desired desire VBD A52264 2416 20 . . . A52264 2417 1 2 2 LS A52264 2417 2 . . . A52264 2418 1 To to TO A52264 2418 2 draw draw VB A52264 2418 3 the the DT A52264 2418 4 houre houre NN A52264 2418 5 lines line NNS A52264 2418 6 upon upon IN A52264 2418 7 a a DT A52264 2418 8 South South NNP A52264 2418 9 reclining recline VBG A52264 2418 10 plain plain JJ A52264 2418 11 , , , A52264 2418 12 declining decline VBG A52264 2418 13 East East NNP A52264 2418 14 or or CC A52264 2418 15 West West NNP A52264 2418 16 , , , A52264 2418 17 which which WDT A52264 2418 18 passeth passeth VBP A52264 2418 19 between between IN A52264 2418 20 the the DT A52264 2418 21 Zenith Zenith NNP A52264 2418 22 and and CC A52264 2418 23 the the DT A52264 2418 24 Pole Pole NNP A52264 2418 25 . . . A52264 2419 1 In in IN A52264 2419 2 these these DT A52264 2419 3 kinde kinde NNP A52264 2419 4 of of IN A52264 2419 5 declining decline VBG A52264 2419 6 reclining recline VBG A52264 2419 7 plains plain NNS A52264 2419 8 , , , A52264 2419 9 the the DT A52264 2419 10 South South NNP A52264 2419 11 pole pole NN A52264 2419 12 is be VBZ A52264 2419 13 elevated elevate VBN A52264 2419 14 above above IN A52264 2419 15 the the DT A52264 2419 16 plane plane NN A52264 2419 17 , , , A52264 2419 18 as as IN A52264 2419 19 is be VBZ A52264 2419 20 clear clear JJ A52264 2419 21 by by IN A52264 2419 22 the the DT A52264 2419 23 circle circle NN A52264 2419 24 AHB AHB NNP A52264 2419 25 representing represent VBG A52264 2419 26 the the DT A52264 2419 27 same same JJ A52264 2419 28 , , , A52264 2419 29 which which WDT A52264 2419 30 falleth falleth JJ A52264 2419 31 between between IN A52264 2419 32 the the DT A52264 2419 33 Zenith Zenith NNP A52264 2419 34 and and CC A52264 2419 35 the the DT A52264 2419 36 North North NNP A52264 2419 37 pole pole NN A52264 2419 38 , , , A52264 2419 39 and and CC A52264 2419 40 therefore therefore RB A52264 2419 41 hideth hideth JJ A52264 2419 42 that that DT A52264 2419 43 pole pole NN A52264 2419 44 from from IN A52264 2419 45 the the DT A52264 2419 46 eye eye NN A52264 2419 47 , , , A52264 2419 48 and and CC A52264 2419 49 forceth forceth VB A52264 2419 50 you -PRON- PRP A52264 2419 51 to to TO A52264 2419 52 seeke seeke VB A52264 2419 53 the the DT A52264 2419 54 elevation elevation NN A52264 2419 55 of of IN A52264 2419 56 the the DT A52264 2419 57 contrary contrary JJ A52264 2419 58 pole pole NN A52264 2419 59 above above IN A52264 2419 60 the the DT A52264 2419 61 plain plain NN A52264 2419 62 , , , A52264 2419 63 which which WDT A52264 2419 64 notwithstanding notwithstanding RB A52264 2419 65 maketh maketh VBP A52264 2419 66 the the DT A52264 2419 67 like like UH A52264 2419 68 and and CC A52264 2419 69 equall equall VB A52264 2419 70 angles angle NNS A52264 2419 71 upon upon IN A52264 2419 72 the the DT A52264 2419 73 South south JJ A52264 2419 74 side side NN A52264 2419 75 objected object VBD A52264 2419 76 to to IN A52264 2419 77 it -PRON- PRP A52264 2419 78 , , , A52264 2419 79 as as IN A52264 2419 80 the the DT A52264 2419 81 North North NNP A52264 2419 82 pole pole NN A52264 2419 83 doth doth NN A52264 2419 84 upon upon IN A52264 2419 85 the the DT A52264 2419 86 North North NNP A52264 2419 87 side side NN A52264 2419 88 , , , A52264 2419 89 ( ( -LRB- A52264 2419 90 as as IN A52264 2419 91 was be VBD A52264 2419 92 shewed shew VBN A52264 2419 93 in in IN A52264 2419 94 the the DT A52264 2419 95 7 7 CD A52264 2419 96 Prop Prop NNP A52264 2419 97 . . . A52264 2419 98 ) ) -RRB- A52264 2420 1 so so RB A52264 2420 2 that that IN A52264 2420 3 either either CC A52264 2420 4 you -PRON- PRP A52264 2420 5 may may MD A52264 2420 6 imagine imagine VB A52264 2420 7 the the DT A52264 2420 8 Scheme Scheme NNP A52264 2420 9 to to TO A52264 2420 10 be be VB A52264 2420 11 turned turn VBN A52264 2420 12 about about IN A52264 2420 13 , , , A52264 2420 14 and and CC A52264 2420 15 the the DT A52264 2420 16 North North NNP A52264 2420 17 and and CC A52264 2420 18 South South NNP A52264 2420 19 points point NNS A52264 2420 20 changed change VBD A52264 2420 21 , , , A52264 2420 22 or or CC A52264 2420 23 you -PRON- PRP A52264 2420 24 may may MD A52264 2420 25 calculate calculate VB A52264 2420 26 the the DT A52264 2420 27 houres houre NNS A52264 2420 28 as as IN A52264 2420 29 it -PRON- PRP A52264 2420 30 standeth standeth RB A52264 2420 31 , , , A52264 2420 32 remembring remembre VBG A52264 2420 33 to to TO A52264 2420 34 turn turn VB A52264 2420 35 the the DT A52264 2420 36 stile stile NN A52264 2420 37 upwards upwards RB A52264 2420 38 or or CC A52264 2420 39 downwards downwards RB A52264 2420 40 , , , A52264 2420 41 and and CC A52264 2420 42 change change VB A52264 2420 43 the the DT A52264 2420 44 numbers number NNS A52264 2420 45 of of IN A52264 2420 46 the the DT A52264 2420 47 houres houre NNS A52264 2420 48 , , , A52264 2420 49 as as IN A52264 2420 50 the the DT A52264 2420 51 nature nature NN A52264 2420 52 of of IN A52264 2420 53 the the DT A52264 2420 54 Diall Diall NNP A52264 2420 55 wil wil VBD A52264 2420 56 direct direct VB A52264 2420 57 you -PRON- PRP A52264 2420 58 . . . A52264 2421 1 In in IN A52264 2421 2 this this DT A52264 2421 3 sort sort NN A52264 2421 4 of of IN A52264 2421 5 declining decline VBG A52264 2421 6 reclining recline VBG A52264 2421 7 Dials Dials NNPS A52264 2421 8 , , , A52264 2421 9 there there EX A52264 2421 10 are be VBP A52264 2421 11 four four CD A52264 2421 12 things thing NNS A52264 2421 13 to to TO A52264 2421 14 be be VB A52264 2421 15 sought seek VBN A52264 2421 16 before before IN A52264 2421 17 you -PRON- PRP A52264 2421 18 can can MD A52264 2421 19 calculate calculate VB A52264 2421 20 the the DT A52264 2421 21 houres houre NNS A52264 2421 22 . . . A52264 2422 1 1 1 CD A52264 2422 2 The the DT A52264 2422 3 distance distance NN A52264 2422 4 of of IN A52264 2422 5 the the DT A52264 2422 6 Meridian Meridian NNP A52264 2422 7 from from IN A52264 2422 8 the the DT A52264 2422 9 Horizon Horizon NNP A52264 2422 10 . . . A52264 2423 1 2 2 CD A52264 2423 2 The the DT A52264 2423 3 height height NN A52264 2423 4 of of IN A52264 2423 5 the the DT A52264 2423 6 pole pole NN A52264 2423 7 above above IN A52264 2423 8 the the DT A52264 2423 9 plain plain NN A52264 2423 10 . . . A52264 2424 1 3 3 CD A52264 2424 2 The the DT A52264 2424 3 distance distance NN A52264 2424 4 of of IN A52264 2424 5 the the DT A52264 2424 6 substile substile NN A52264 2424 7 from from IN A52264 2424 8 the the DT A52264 2424 9 Meridian Meridian NNP A52264 2424 10 . . . A52264 2425 1 4 4 CD A52264 2425 2 The the DT A52264 2425 3 angle angle NN A52264 2425 4 of of IN A52264 2425 5 inclination inclination NN A52264 2425 6 between between IN A52264 2425 7 the the DT A52264 2425 8 Meridian Meridian NNP A52264 2425 9 of of IN A52264 2425 10 the the DT A52264 2425 11 plane plane NN A52264 2425 12 , , , A52264 2425 13 and and CC A52264 2425 14 the the DT A52264 2425 15 meridian meridian NN A52264 2425 16 of of IN A52264 2425 17 the the DT A52264 2425 18 place place NN A52264 2425 19 . . . A52264 2426 1 1 1 CD A52264 2426 2 The the DT A52264 2426 3 distance distance NN A52264 2426 4 of of IN A52264 2426 5 the the DT A52264 2426 6 Meridian Meridian NNP A52264 2426 7 from from IN A52264 2426 8 the the DT A52264 2426 9 Horizon Horizon NNP A52264 2426 10 , , , A52264 2426 11 is be VBZ A52264 2426 12 represented represent VBN A52264 2426 13 by by IN A52264 2426 14 the the DT A52264 2426 15 arch arch JJ A52264 2426 16 OB OB NNP A52264 2426 17 , , , A52264 2426 18 to to IN A52264 2426 19 finde finde NNP A52264 2426 20 which which WDT A52264 2426 21 , , , A52264 2426 22 in in IN A52264 2426 23 the the DT A52264 2426 24 right right NN A52264 2426 25 angled angle VBN A52264 2426 26 Triangle Triangle NNP A52264 2426 27 HOZ HOZ NNP A52264 2426 28 , , , A52264 2426 29 we -PRON- PRP A52264 2426 30 have have VBP A52264 2426 31 HZ HZ NNP A52264 2426 32 the the DT A52264 2426 33 reclination reclination NN A52264 2426 34 20 20 CD A52264 2426 35 deg deg NN A52264 2426 36 . . . A52264 2427 1 and and CC A52264 2427 2 the the DT A52264 2427 3 angle angle NN A52264 2427 4 HZO HZO NNP A52264 2427 5 the the DT A52264 2427 6 declination declination NN A52264 2427 7 , , , A52264 2427 8 to to TO A52264 2427 9 find find VB A52264 2427 10 HO HO NNP A52264 2427 11 , , , A52264 2427 12 the the DT A52264 2427 13 complement complement NN A52264 2427 14 of of IN A52264 2427 15 OB OB NNP A52264 2427 16 , , , A52264 2427 17 for for IN A52264 2427 18 which which WDT A52264 2427 19 , , , A52264 2427 20 by by IN A52264 2427 21 the the DT A52264 2427 22 first first JJ A52264 2427 23 case case NN A52264 2427 24 of of IN A52264 2427 25 right right JJ A52264 2427 26 angled angle VBN A52264 2427 27 sphericall sphericall NN A52264 2427 28 triangles triangle NNS A52264 2427 29 , , , A52264 2427 30 the the DT A52264 2427 31 analogie analogie NN A52264 2427 32 is be VBZ A52264 2427 33 , , , A52264 2427 34 As as IN A52264 2427 35 the the DT A52264 2427 36 Radius Radius NNP A52264 2427 37 , , , A52264 2427 38 90 90 CD A52264 2427 39 10.000000 10.000000 CD A52264 2427 40 o o NN A52264 2427 41 the the DT A52264 2427 42 sine sine NN A52264 2427 43 of of IN A52264 2427 44 HZ HZ NNP A52264 2427 45 , , , A52264 2427 46 20 20 CD A52264 2427 47 9.534051 9.534051 CD A52264 2427 48 o o NN A52264 2427 49 is be VBZ A52264 2427 50 the the DT A52264 2427 51 tangent tangent NN A52264 2427 52 of of IN A52264 2427 53 HZO HZO NNP A52264 2427 54 , , , A52264 2427 55 30 30 CD A52264 2427 56 9.761439 9.761439 CD A52264 2427 57 o o NN A52264 2427 58 the the DT A52264 2427 59 tangent tangent NN A52264 2427 60 of of IN A52264 2427 61 HO HO NNP A52264 2427 62 , , , A52264 2427 63 11.17 11.17 CD A52264 2427 64 9.295490 9.295490 CD A52264 2427 65 Who who WP A52264 2427 66 s s VBZ A52264 2427 67 's 's POS A52264 2427 68 complement complement NN A52264 2427 69 78 78 CD A52264 2427 70 deg deg NN A52264 2427 71 . . . A52264 2428 1 83 83 CD A52264 2428 2 min min NN A52264 2428 3 . . . A52264 2429 1 is be VBZ A52264 2429 2 OB OB NNP A52264 2429 3 , , , A52264 2429 4 the the DT A52264 2429 5 arch arch NN A52264 2429 6 desired desire VBD A52264 2429 7 . . . A52264 2430 1 2 2 LS A52264 2430 2 . . . A52264 2431 1 To to TO A52264 2431 2 finde finde NNP A52264 2431 3 the the DT A52264 2431 4 height height NN A52264 2431 5 of of IN A52264 2431 6 the the DT A52264 2431 7 pole pole NN A52264 2431 8 above above IN A52264 2431 9 the the DT A52264 2431 10 plane plane NN A52264 2431 11 , , , A52264 2431 12 there there EX A52264 2431 13 is be VBZ A52264 2431 14 required require VBN A52264 2431 15 two two CD A52264 2431 16 operations operation NNS A52264 2431 17 , , , A52264 2431 18 the the DT A52264 2431 19 first first JJ A52264 2431 20 to to IN A52264 2431 21 finde finde NN A52264 2431 22 OP OP NNP A52264 2431 23 , , , A52264 2431 24 and and CC A52264 2431 25 the the DT A52264 2431 26 second second JJ A52264 2431 27 to to IN A52264 2431 28 finde finde NNP A52264 2431 29 PR PR NNP A52264 2431 30 ; ; : A52264 2431 31 OP op NN A52264 2431 32 may may MD A52264 2431 33 be be VB A52264 2431 34 found find VBN A52264 2431 35 by by IN A52264 2431 36 the the DT A52264 2431 37 3 3 CD A52264 2431 38 Case Case NNP A52264 2431 39 of of IN A52264 2431 40 right right RB A52264 2431 41 angled angle VBN A52264 2431 42 Sphericall Sphericall NNP A52264 2431 43 Triangles Triangles NNP A52264 2431 44 , , , A52264 2431 45 for for IN A52264 2431 46 , , , A52264 2431 47 As as IN A52264 2431 48 the the DT A52264 2431 49 Radius Radius NNP A52264 2431 50 , , , A52264 2431 51 90 90 CD A52264 2431 52 10.000000 10.000000 CD A52264 2431 53 Is be VBZ A52264 2431 54 to to IN A52264 2431 55 the the DT A52264 2431 56 co co NN A52264 2431 57 - - NN A52264 2431 58 sine sine NN A52264 2431 59 of of IN A52264 2431 60 HZP HZP NNP A52264 2431 61 . . . A52264 2432 1 30 30 CD A52264 2432 2 9.937531 9.937531 CD A52264 2432 3 So so RB A52264 2432 4 is be VBZ A52264 2432 5 the the DT A52264 2432 6 co co JJ A52264 2432 7 - - NN A52264 2432 8 tang tang JJ A52264 2432 9 . . . A52264 2433 1 of of IN A52264 2433 2 HZ HZ NNP A52264 2433 3 , , , A52264 2433 4 20 20 CD A52264 2433 5 . . . A52264 2434 1 10.438934 10.438934 CD A52264 2434 2 To to IN A52264 2434 3 the the DT A52264 2434 4 co co JJ A52264 2434 5 - - NN A52264 2434 6 tangent tangent NN A52264 2434 7 of of IN A52264 2434 8 ZO ZO NNP A52264 2434 9 , , , A52264 2434 10 22.80 22.80 CD A52264 2434 11 10.376465 10.376465 CD A52264 2434 12 Which which WDT A52264 2434 13 arch arch NN A52264 2434 14 being be VBG A52264 2434 15 found find VBN A52264 2434 16 , , , A52264 2434 17 and and CC A52264 2434 18 deducted deduct VBD A52264 2434 19 out out IN A52264 2434 20 of of IN A52264 2434 21 , , , A52264 2434 22 ZP ZP NNP A52264 2434 23 38 38 CD A52264 2434 24 deg deg NN A52264 2434 25 . . . A52264 2435 1 47 47 CD A52264 2435 2 min min NN A52264 2435 3 . . . A52264 2436 1 there there RB A52264 2436 2 resteth resteth NNP A52264 2436 3 PO PO NNP A52264 2436 4 15 15 CD A52264 2436 5 deg deg NN A52264 2436 6 . . . A52264 2437 1 67 67 CD A52264 2437 2 min min NN A52264 2437 3 . . . A52264 2438 1 Then then RB A52264 2438 2 may may MD A52264 2438 3 you -PRON- PRP A52264 2438 4 finde finde VB A52264 2438 5 PR PR NNP A52264 2438 6 , , , A52264 2438 7 by by IN A52264 2438 8 the the DT A52264 2438 9 triangles triangle NNS A52264 2438 10 HZO HZO NNP A52264 2438 11 , , , A52264 2438 12 and and CC A52264 2438 13 PRO PRO NNP A52264 2438 14 both both DT A52264 2438 15 together together RB A52264 2438 16 , , , A52264 2438 17 because because IN A52264 2438 18 the the DT A52264 2438 19 sines sine NNS A52264 2438 20 of of IN A52264 2438 21 the the DT A52264 2438 22 hypothenusals hypothenusal NNS A52264 2438 23 and and CC A52264 2438 24 the the DT A52264 2438 25 sines sine NNS A52264 2438 26 of of IN A52264 2438 27 the the DT A52264 2438 28 perpendiculars perpendicular NNS A52264 2438 29 are be VBP A52264 2438 30 proportional proportional JJ A52264 2438 31 , , , A52264 2438 32 by by IN A52264 2438 33 the the DT A52264 2438 34 first first JJ A52264 2438 35 of of IN A52264 2438 36 the the DT A52264 2438 37 7 7 CD A52264 2438 38 Chap Chap NNP A52264 2438 39 . . . A52264 2439 1 of of IN A52264 2439 2 Triangles triangle NNS A52264 2439 3 . . . A52264 2440 1 Therefore therefore RB A52264 2440 2 , , , A52264 2440 3 As as IN A52264 2440 4 the the DT A52264 2440 5 sine sine NN A52264 2440 6 of of IN A52264 2440 7 ZO ZO NNP A52264 2440 8 , , , A52264 2440 9 22.80 22.80 CD A52264 2440 10 9.588289 9.588289 CD A52264 2440 11 Is be VBZ A52264 2440 12 to to IN A52264 2440 13 the the DT A52264 2440 14 sine sine NN A52264 2440 15 of of IN A52264 2440 16 ZH ZH NNP A52264 2440 17 , , , A52264 2440 18 20 20 CD A52264 2440 19 9.534052 9.534052 CD A52264 2440 20 So so RB A52264 2440 21 is be VBZ A52264 2440 22 the the DT A52264 2440 23 sine sine NN A52264 2440 24 of of IN A52264 2440 25 PO PO NNP A52264 2440 26 , , , A52264 2440 27 15.67 15.67 CD A52264 2440 28 9.431519 9.431519 CD A52264 2440 29 To to IN A52264 2440 30 the the DT A52264 2440 31 sine sine NN A52264 2440 32 of of IN A52264 2440 33 PR PR NNP A52264 2440 34 , , , A52264 2440 35 13.79 13.79 CD A52264 2440 36 9.377282 9.377282 CD A52264 2440 37 The the DT A52264 2440 38 height height NN A52264 2440 39 of of IN A52264 2440 40 the the DT A52264 2440 41 stile stile NN A52264 2440 42 desired desire VBN A52264 2440 43 . . . A52264 2441 1 3 3 CD A52264 2441 2 The the DT A52264 2441 3 distance distance NN A52264 2441 4 of of IN A52264 2441 5 the the DT A52264 2441 6 substile substile NN A52264 2441 7 from from IN A52264 2441 8 the the DT A52264 2441 9 Meridian Meridian NNP A52264 2441 10 may may MD A52264 2441 11 be be VB A52264 2441 12 found find VBN A52264 2441 13 by by IN A52264 2441 14 the the DT A52264 2441 15 12 12 CD A52264 2441 16 Case case NN A52264 2441 17 of of IN A52264 2441 18 right right JJ A52264 2441 19 angled angle VBN A52264 2441 20 sphericall sphericall NN A52264 2441 21 triangles triangle NNS A52264 2441 22 , , , A52264 2441 23 for for CC A52264 2441 24 As as IN A52264 2441 25 the the DT A52264 2441 26 co co NN A52264 2441 27 - - NN A52264 2441 28 sine sine NN A52264 2441 29 of of IN A52264 2441 30 PR PR NNP A52264 2441 31 , , , A52264 2441 32 13 13 CD A52264 2441 33 78 78 CD A52264 2441 34 9.987298 9.987298 CD A52264 2441 35 Is be VBZ A52264 2441 36 to to IN A52264 2441 37 the the DT A52264 2441 38 Radius Radius NNP A52264 2441 39 , , , A52264 2441 40 90 90 CD A52264 2441 41 10.000000 10.000000 CD A52264 2441 42 So so RB A52264 2441 43 is be VBZ A52264 2441 44 the the DT A52264 2441 45 co co JJ A52264 2441 46 - - NN A52264 2441 47 sine sine NN A52264 2441 48 of of IN A52264 2441 49 PO PO NNP A52264 2441 50 , , , A52264 2441 51 15.67 15.67 CD A52264 2441 52 9.983551 9.983551 CD A52264 2441 53 To to IN A52264 2441 54 the the DT A52264 2441 55 co co NN A52264 2441 56 - - NN A52264 2441 57 sine sine NN A52264 2441 58 of of IN A52264 2441 59 OR or CC A52264 2441 60 , , , A52264 2441 61 7.41 7.41 CD A52264 2441 62 9.996253 9.996253 CD A52264 2441 63 The the DT A52264 2441 64 arch arch NN A52264 2441 65 desired desire VBD A52264 2441 66 . . . A52264 2442 1 4 4 LS A52264 2442 2 . . . A52264 2443 1 The the DT A52264 2443 2 angle angle NN A52264 2443 3 of of IN A52264 2443 4 inclination inclination NN A52264 2443 5 between between IN A52264 2443 6 the the DT A52264 2443 7 Meridians Meridians NNPS A52264 2443 8 , , , A52264 2443 9 may may MD A52264 2443 10 be be VB A52264 2443 11 found find VBN A52264 2443 12 by by IN A52264 2443 13 the the DT A52264 2443 14 11 11 CD A52264 2443 15 Case case NN A52264 2443 16 of of IN A52264 2443 17 right right RB A52264 2443 18 angled angle VBN A52264 2443 19 Spherical spherical JJ A52264 2443 20 triangles triangle NNS A52264 2443 21 , , , A52264 2443 22 for for CC A52264 2443 23 , , , A52264 2443 24 As as IN A52264 2443 25 the the DT A52264 2443 26 Radius Radius NNP A52264 2443 27 , , , A52264 2443 28 90 90 CD A52264 2443 29 10.000000 10.000000 CD A52264 2443 30 Is be VBZ A52264 2443 31 to to IN A52264 2443 32 the the DT A52264 2443 33 sine sine NN A52264 2443 34 of of IN A52264 2443 35 PR PR NNP A52264 2443 36 , , , A52264 2443 37 13.79 13.79 CD A52264 2443 38 . . . A52264 2444 1 9.377241 9.377241 CD A52264 2444 2 So so RB A52264 2444 3 is be VBZ A52264 2444 4 the the DT A52264 2444 5 co co JJ A52264 2444 6 - - NN A52264 2444 7 tang tang JJ A52264 2444 8 . . . A52264 2445 1 of of IN A52264 2445 2 OR OR NNP A52264 2445 3 7.51 7.51 CD A52264 2445 4 10.879985 10.879985 CD A52264 2445 5 To to IN A52264 2445 6 the the DT A52264 2445 7 co co JJ A52264 2445 8 - - NN A52264 2445 9 tang tang JJ A52264 2445 10 . . . A52264 2446 1 of of IN A52264 2446 2 OPR OPR NNP A52264 2446 3 , , , A52264 2446 4 28.93 28.93 CD A52264 2446 5 10.257226 10.257226 CD A52264 2446 6 Now now RB A52264 2446 7 as as IN A52264 2446 8 in in IN A52264 2446 9 all all PDT A52264 2446 10 the the DT A52264 2446 11 former former JJ A52264 2446 12 works work NNS A52264 2446 13 , , , A52264 2446 14 the the DT A52264 2446 15 angle angle NN A52264 2446 16 P p NN A52264 2446 17 between between IN A52264 2446 18 the the DT A52264 2446 19 two two CD A52264 2446 20 Meridians Meridians NNPS A52264 2446 21 being be VBG A52264 2446 22 28 28 CD A52264 2446 23 deg deg NN A52264 2446 24 . . . A52264 2447 1 93 93 CD A52264 2447 2 min min NN A52264 2447 3 . . . A52264 2448 1 which which WDT A52264 2448 2 is be VBZ A52264 2448 3 more more JJR A52264 2448 4 then then RB A52264 2448 5 one one CD A52264 2448 6 houres houre VBZ A52264 2448 7 distance distance NN A52264 2448 8 from from IN A52264 2448 9 the the DT A52264 2448 10 Meridian Meridian NNP A52264 2448 11 , , , A52264 2448 12 and and CC A52264 2448 13 lesse lesse NNP A52264 2448 14 then then RB A52264 2448 15 two two CD A52264 2448 16 , , , A52264 2448 17 you -PRON- PRP A52264 2448 18 may may MD A52264 2448 19 conclude conclude VB A52264 2448 20 that that IN A52264 2448 21 the the DT A52264 2448 22 substile substile NN A52264 2448 23 must must MD A52264 2448 24 stand stand VB A52264 2448 25 between between IN A52264 2448 26 the the DT A52264 2448 27 first first JJ A52264 2448 28 & & CC A52264 2448 29 second second JJ A52264 2448 30 hours hour NNS A52264 2448 31 from from IN A52264 2448 32 the the DT A52264 2448 33 Meridian Meridian NNP A52264 2448 34 or or CC A52264 2448 35 12 12 CD A52264 2448 36 of of IN A52264 2448 37 the the DT A52264 2448 38 clock clock NN A52264 2448 39 Westerly Westerly NNP A52264 2448 40 , , , A52264 2448 41 because because IN A52264 2448 42 the the DT A52264 2448 43 declination declination NN A52264 2448 44 is be VBZ A52264 2448 45 easterly easterly RB A52264 2448 46 : : : A52264 2448 47 and and CC A52264 2448 48 28 28 CD A52264 2448 49 deg deg NN A52264 2448 50 . . . A52264 2449 1 93 93 CD A52264 2449 2 min min NN A52264 2449 3 . . . A52264 2450 1 being be VBG A52264 2450 2 deducted deduct VBN A52264 2450 3 out out IN A52264 2450 4 of of IN A52264 2450 5 30 30 CD A52264 2450 6 deg deg NN A52264 2450 7 . . . A52264 2451 1 there there EX A52264 2451 2 resteth resteth NNP A52264 2451 3 1 1 CD A52264 2451 4 deg deg NNP A52264 2451 5 . . . A52264 2452 1 7 7 CD A52264 2452 2 min min NN A52264 2452 3 . . . A52264 2453 1 for for IN A52264 2453 2 the the DT A52264 2453 3 distance distance NN A52264 2453 4 of of IN A52264 2453 5 10 10 CD A52264 2453 6 of of IN A52264 2453 7 the the DT A52264 2453 8 clock clock NN A52264 2453 9 from from IN A52264 2453 10 the the DT A52264 2453 11 substile substile NN A52264 2453 12 ; ; : A52264 2453 13 again again RB A52264 2453 14 , , , A52264 2453 15 deducting deduct VBG A52264 2453 16 15 15 CD A52264 2453 17 deg deg NN A52264 2453 18 . . . A52264 2454 1 from from IN A52264 2454 2 28 28 CD A52264 2454 3 deg deg NN A52264 2454 4 . . . A52264 2455 1 93 93 CD A52264 2455 2 min min NN A52264 2455 3 . . . A52264 2456 1 there there RB A52264 2456 2 resteth resteth NNP A52264 2456 3 13 13 CD A52264 2456 4 deg deg NN A52264 2456 5 . . . A52264 2457 1 73 73 CD A52264 2457 2 min min NN A52264 2457 3 . . . A52264 2458 1 the the DT A52264 2458 2 distance distance NN A52264 2458 3 of of IN A52264 2458 4 the the DT A52264 2458 5 11 11 CD A52264 2458 6 a a DT A52264 2458 7 clock clock NN A52264 2458 8 houre houre NN A52264 2458 9 line line NN A52264 2458 10 from from IN A52264 2458 11 the the DT A52264 2458 12 substile substile NN A52264 2458 13 , , , A52264 2458 14 the the DT A52264 2458 15 rest rest NN A52264 2458 16 are be VBP A52264 2458 17 found find VBN A52264 2458 18 by by IN A52264 2458 19 continuall continuall NN A52264 2458 20 addition addition NN A52264 2458 21 of of IN A52264 2458 22 15 15 CD A52264 2458 23 deg deg NN A52264 2458 24 . . . A52264 2459 1 as as IN A52264 2459 2 before before RB A52264 2459 3 . . . A52264 2460 1 And and CC A52264 2460 2 here here RB A52264 2460 3 the the DT A52264 2460 4 true true JJ A52264 2460 5 houre houre NN A52264 2460 6 distances distance NNS A52264 2460 7 may may MD A52264 2460 8 be be VB A52264 2460 9 found find VBN A52264 2460 10 by by IN A52264 2460 11 the the DT A52264 2460 12 first first JJ A52264 2460 13 case case NN A52264 2460 14 of of IN A52264 2460 15 right right JJ A52264 2460 16 angled angle VBN A52264 2460 17 Sphericall sphericall NN A52264 2460 18 triangles triangle NNS A52264 2460 19 , , , A52264 2460 20 for for IN A52264 2460 21 , , , A52264 2460 22 As as IN A52264 2460 23 the the DT A52264 2460 24 Radius Radius NNP A52264 2460 25 , , , A52264 2460 26 90 90 CD A52264 2460 27 10.000000 10.000000 CD A52264 2460 28 Is be VBZ A52264 2460 29 to to IN A52264 2460 30 the the DT A52264 2460 31 sine sine NN A52264 2460 32 of of IN A52264 2460 33 PR PR NNP A52264 2460 34 13.79 13.79 CD A52264 2460 35 9.377240 9.377240 CD A52264 2460 36 So so RB A52264 2460 37 is be VBZ A52264 2460 38 the the DT A52264 2460 39 tangent tangent NN A52264 2460 40 of of IN A52264 2460 41 RP RP NNP A52264 2460 42 , , , A52264 2460 43 11.15 11.15 CD A52264 2460 44 9.428052 9.428052 CD A52264 2460 45 To to IN A52264 2460 46 the the DT A52264 2460 47 tangent tangent NN A52264 2460 48 of of IN A52264 2460 49 R r NN A52264 2460 50 11 11 CD A52264 2460 51 , , , A52264 2460 52 3.66 3.66 CD A52264 2460 53 8.805292 8.805292 CD A52264 2460 54 And and CC A52264 2460 55 so so RB A52264 2460 56 proceed proceed VB A52264 2460 57 with with IN A52264 2460 58 all all PDT A52264 2460 59 the the DT A52264 2460 60 rest rest NN A52264 2460 61 . . . A52264 2461 1 3 3 LS A52264 2461 2 . . . A52264 2462 1 To to TO A52264 2462 2 draw draw VB A52264 2462 3 the the DT A52264 2462 4 houre houre NN A52264 2462 5 lines line NNS A52264 2462 6 upon upon IN A52264 2462 7 a a DT A52264 2462 8 South South NNP A52264 2462 9 reclining recline VBG A52264 2462 10 plain plain JJ A52264 2462 11 , , , A52264 2462 12 declining decline VBG A52264 2462 13 East East NNP A52264 2462 14 or or CC A52264 2462 15 west west NNP A52264 2462 16 , , , A52264 2462 17 which which WDT A52264 2462 18 passeth passeth VBP A52264 2462 19 between between IN A52264 2462 20 the the DT A52264 2462 21 Pole Pole NNP A52264 2462 22 and and CC A52264 2462 23 the the DT A52264 2462 24 Horizon Horizon NNP A52264 2462 25 . . . A52264 2463 1 In in IN A52264 2463 2 this this DT A52264 2463 3 plain plain NN A52264 2463 4 represented represent VBN A52264 2463 5 by by IN A52264 2463 6 the the DT A52264 2463 7 circle circle NN A52264 2463 8 of of IN A52264 2463 9 reclination reclination NN A52264 2463 10 AFB AFB NNP A52264 2463 11 , , , A52264 2463 12 the the DT A52264 2463 13 North North NNP A52264 2463 14 pole pole NN A52264 2463 15 is be VBZ A52264 2463 16 elevated elevate VBN A52264 2463 17 above above IN A52264 2463 18 the the DT A52264 2463 19 plane plane NN A52264 2463 20 , , , A52264 2463 21 as as IN A52264 2463 22 the the DT A52264 2463 23 South South NNP A52264 2463 24 pole pole NN A52264 2463 25 was be VBD A52264 2463 26 above above IN A52264 2463 27 the the DT A52264 2463 28 other other JJ A52264 2463 29 , , , A52264 2463 30 and and CC A52264 2463 31 the the DT A52264 2463 32 same same JJ A52264 2463 33 four four CD A52264 2463 34 things thing NNS A52264 2463 35 that that WDT A52264 2463 36 you -PRON- PRP A52264 2463 37 found find VBD A52264 2463 38 for for IN A52264 2463 39 the the DT A52264 2463 40 former former JJ A52264 2463 41 Diall Diall NNP A52264 2463 42 must must MD A52264 2463 43 also also RB A52264 2463 44 be be VB A52264 2463 45 sought seek VBN A52264 2463 46 for for IN A52264 2463 47 this this DT A52264 2463 48 ; ; : A52264 2463 49 in in IN A52264 2463 50 the the DT A52264 2463 51 finding finding NN A52264 2463 52 whereof whereof NN A52264 2463 53 there there EX A52264 2463 54 being be VBG A52264 2463 55 no no DT A52264 2463 56 difference difference NN A52264 2463 57 , , , A52264 2463 58 save save VB A52264 2463 59 only only JJ A52264 2463 60 deducting deduct VBG A52264 2463 61 ZP ZP NNP A52264 2463 62 from from IN A52264 2463 63 ZO ZO NNP A52264 2463 64 , , , A52264 2463 65 because because IN A52264 2463 66 ZO ZO NNP A52264 2463 67 is be VBZ A52264 2463 68 the the DT A52264 2463 69 greatest great JJS A52264 2463 70 arch arch NN A52264 2463 71 , , , A52264 2463 72 as as IN A52264 2463 73 by by IN A52264 2463 74 the the DT A52264 2463 75 Scheam Scheam NNP A52264 2463 76 appeareth appeareth NN A52264 2463 77 : : : A52264 2463 78 to to TO A52264 2463 79 calculate calculate VB A52264 2463 80 the the DT A52264 2463 81 houres houre NNS A52264 2463 82 of of IN A52264 2463 83 this this DT A52264 2463 84 plane plane NN A52264 2463 85 needeth needeth NN A52264 2463 86 no no DT A52264 2463 87 further further JJ A52264 2463 88 instruction instruction NN A52264 2463 89 . . . A52264 2464 1 Probl probl VB A52264 2464 2 . . . A52264 2465 1 12 12 CD A52264 2465 2 . . . A52264 2466 1 To to TO A52264 2466 2 draw draw VB A52264 2466 3 the the DT A52264 2466 4 houre houre NN A52264 2466 5 lines line NNS A52264 2466 6 upon upon IN A52264 2466 7 a a DT A52264 2466 8 polar polar JJ A52264 2466 9 plain plain NN A52264 2466 10 , , , A52264 2466 11 declining decline VBG A52264 2466 12 East East NNP A52264 2466 13 or or CC A52264 2466 14 west west NNP A52264 2466 15 , , , A52264 2466 16 being be VBG A52264 2466 17 the the DT A52264 2466 18 first first JJ A52264 2466 19 variety variety NN A52264 2466 20 of of IN A52264 2466 21 North North NNP A52264 2466 22 declining decline VBG A52264 2466 23 reclining recline VBG A52264 2466 24 planes plane NNS A52264 2466 25 AS as IN A52264 2466 26 in in IN A52264 2466 27 the the DT A52264 2466 28 South South NNP A52264 2466 29 declining decline VBG A52264 2466 30 recliners recliner NNS A52264 2466 31 , , , A52264 2466 32 there there EX A52264 2466 33 are be VBP A52264 2466 34 three three CD A52264 2466 35 varieties variety NNS A52264 2466 36 , , , A52264 2466 37 so so RB A52264 2466 38 are be VBP A52264 2466 39 there there RB A52264 2466 40 in in IN A52264 2466 41 the the DT A52264 2466 42 North North NNP A52264 2466 43 as as IN A52264 2466 44 many many JJ A52264 2466 45 : : : A52264 2466 46 for for IN A52264 2466 47 either either CC A52264 2466 48 the the DT A52264 2466 49 plane plane NN A52264 2466 50 reclining recline VBG A52264 2466 51 doth doth JJ A52264 2466 52 passe passe NN A52264 2466 53 by by IN A52264 2466 54 the the DT A52264 2466 55 intersection intersection NN A52264 2466 56 of of IN A52264 2466 57 the the DT A52264 2466 58 Meridian Meridian NNP A52264 2466 59 and and CC A52264 2466 60 Equator Equator NNP A52264 2466 61 , , , A52264 2466 62 and and CC A52264 2466 63 then then RB A52264 2466 64 it -PRON- PRP A52264 2466 65 is be VBZ A52264 2466 66 called call VBN A52264 2466 67 a a DT A52264 2466 68 declining decline VBG A52264 2466 69 Polar Polar NNP A52264 2466 70 , , , A52264 2466 71 which which WDT A52264 2466 72 hath hath VBP A52264 2466 73 the the DT A52264 2466 74 substile substile NNP A52264 2466 75 alwayes alwayes NNP A52264 2466 76 perpendicular perpendicular JJ A52264 2466 77 to to IN A52264 2466 78 the the DT A52264 2466 79 Meridian Meridian NNP A52264 2466 80 ; ; : A52264 2466 81 or or CC A52264 2466 82 else else RB A52264 2466 83 it -PRON- PRP A52264 2466 84 passeth passeth JJ A52264 2466 85 above above IN A52264 2466 86 or or CC A52264 2466 87 under under IN A52264 2466 88 the the DT A52264 2466 89 intersection intersection NN A52264 2466 90 of of IN A52264 2466 91 the the DT A52264 2466 92 Meridian Meridian NNP A52264 2466 93 and and CC A52264 2466 94 Equator Equator NNP A52264 2466 95 , , , A52264 2466 96 which which WDT A52264 2466 97 somewhat somewhat RB A52264 2466 98 differeth differeth JJ A52264 2466 99 from from IN A52264 2466 100 the the DT A52264 2466 101 former former JJ A52264 2466 102 . . . A52264 2467 1 I -PRON- PRP A52264 2467 2 will will MD A52264 2467 3 therefore therefore RB A52264 2467 4 first first RB A52264 2467 5 shew shew NN A52264 2467 6 how how WRB A52264 2467 7 they -PRON- PRP A52264 2467 8 lie lie VBP A52264 2467 9 in in IN A52264 2467 10 the the DT A52264 2467 11 Scheam Scheam NNP A52264 2467 12 , , , A52264 2467 13 and and CC A52264 2467 14 then then RB A52264 2467 15 proceed proceed VB A52264 2467 16 to to IN A52264 2467 17 the the DT A52264 2467 18 particular particular JJ A52264 2467 19 making making NN A52264 2467 20 of of IN A52264 2467 21 the the DT A52264 2467 22 Dials Dials NNPS A52264 2467 23 proper proper JJ A52264 2467 24 to to IN A52264 2467 25 them -PRON- PRP A52264 2467 26 . . . A52264 2468 1 1 1 LS A52264 2468 2 . . . A52264 2469 1 Of of IN A52264 2469 2 the the DT A52264 2469 3 Polar Polar NNP A52264 2469 4 declining decline VBG A52264 2469 5 reclining recline VBG A52264 2469 6 plane plane NN A52264 2469 7 . . . A52264 2470 1 This this DT A52264 2470 2 plane plane NN A52264 2470 3 is be VBZ A52264 2470 4 in in IN A52264 2470 5 this this DT A52264 2470 6 diagram diagram NN A52264 2470 7 represented represent VBN A52264 2470 8 by by IN A52264 2470 9 the the DT A52264 2470 10 circle circle NN A52264 2470 11 AGB AGB NNP A52264 2470 12 , , , A52264 2470 13 ZG ZG NNP A52264 2470 14 is be VBZ A52264 2470 15 the the DT A52264 2470 16 reclination reclination NN A52264 2470 17 , , , A52264 2470 18 ZAE ZAE NNP A52264 2470 19 the the DT A52264 2470 20 distance distance NN A52264 2470 21 of of IN A52264 2470 22 the the DT A52264 2470 23 Equator Equator NNP A52264 2470 24 from from IN A52264 2470 25 the the DT A52264 2470 26 Zenith Zenith NNP A52264 2470 27 , , , A52264 2470 28 the the DT A52264 2470 29 declination declination NN A52264 2470 30 NC NC NNP A52264 2470 31 , , , A52264 2470 32 K K NNP A52264 2470 33 the the DT A52264 2470 34 pole pole NN A52264 2470 35 thereof thereof RB A52264 2470 36 . . . A52264 2471 1 Here here RB A52264 2471 2 also also RB A52264 2471 3 as as IN A52264 2471 4 in in IN A52264 2471 5 the the DT A52264 2471 6 last last JJ A52264 2471 7 Probl Probl NNP A52264 2471 8 . . . A52264 2472 1 there there EX A52264 2472 2 may may MD A52264 2472 3 be be VB A52264 2472 4 a a DT A52264 2472 5 reclination reclination NN A52264 2472 6 found find VBN A52264 2472 7 to to IN A52264 2472 8 any any DT A52264 2472 9 declination declination NN A52264 2472 10 given give VBN A52264 2472 11 , , , A52264 2472 12 and and CC A52264 2472 13 contrary contrary JJ A52264 2472 14 , , , A52264 2472 15 by by IN A52264 2472 16 which which WDT A52264 2472 17 to to TO A52264 2472 18 fit fit VB A52264 2472 19 the the DT A52264 2472 20 plane plane NN A52264 2472 21 howsoever howsoever NN A52264 2472 22 declining declining NN A52264 2472 23 , , , A52264 2472 24 to to TO A52264 2472 25 passe passe VB A52264 2472 26 through through IN A52264 2472 27 the the DT A52264 2472 28 intersection intersection NN A52264 2472 29 of of IN A52264 2472 30 the the DT A52264 2472 31 Meridian Meridian NNP A52264 2472 32 and and CC A52264 2472 33 Equator Equator NNP A52264 2472 34 , , , A52264 2472 35 by by IN A52264 2472 36 the the DT A52264 2472 37 7 7 CD A52264 2472 38 and and CC A52264 2472 39 13 13 CD A52264 2472 40 Cases case NNS A52264 2472 41 of of IN A52264 2472 42 right right JJ A52264 2472 43 angled angle VBN A52264 2472 44 sphericall sphericall NN A52264 2472 45 triangles triangle NNS A52264 2472 46 . . . A52264 2473 1 As as IN A52264 2473 2 the the DT A52264 2473 3 Radius Radius NNP A52264 2473 4 , , , A52264 2473 5 90 90 CD A52264 2473 6 10.000000 10.000000 CD A52264 2473 7 To to IN A52264 2473 8 the the DT A52264 2473 9 co co NN A52264 2473 10 - - NN A52264 2473 11 sine sine NN A52264 2473 12 of of IN A52264 2473 13 GZAE GZAE NNP A52264 2473 14 , , , A52264 2473 15 60 60 CD A52264 2473 16 9.698970 9.698970 CD A52264 2473 17 So so RB A52264 2473 18 is be VBZ A52264 2473 19 the the DT A52264 2473 20 tangent tangent NN A52264 2473 21 of of IN A52264 2473 22 ZAE ZAE NNP A52264 2473 23 , , , A52264 2473 24 51.53 51.53 CD A52264 2473 25 10.099861 10.099861 CD A52264 2473 26 To to IN A52264 2473 27 the the DT A52264 2473 28 tangent tangent NN A52264 2473 29 of of IN A52264 2473 30 ZG ZG NNP A52264 2473 31 , , , A52264 2473 32 32.18 32.18 CD A52264 2473 33 9.798871 9.798871 CD A52264 2473 34 The the DT A52264 2473 35 reclination reclination NN A52264 2473 36 desired desire VBN A52264 2473 37 . . . A52264 2474 1 And and CC A52264 2474 2 , , , A52264 2474 3 As as IN A52264 2474 4 the the DT A52264 2474 5 Radius Radius NNP A52264 2474 6 , , , A52264 2474 7 90 90 CD A52264 2474 8 10.000000 10.000000 CD A52264 2474 9 To to IN A52264 2474 10 the the DT A52264 2474 11 tangent tangent NN A52264 2474 12 of of IN A52264 2474 13 GZ GZ NNP A52264 2474 14 , , , A52264 2474 15 32.18 32.18 CD A52264 2474 16 9.798831 9.798831 CD A52264 2474 17 So so RB A52264 2474 18 is be VBZ A52264 2474 19 the the DT A52264 2474 20 co co JJ A52264 2474 21 - - NN A52264 2474 22 tangent tangent NN A52264 2474 23 of of IN A52264 2474 24 ZAE ZAE NNP A52264 2474 25 , , , A52264 2474 26 51.53 51.53 CD A52264 2474 27 9.900138 9.900138 CD A52264 2474 28 To to IN A52264 2474 29 the the DT A52264 2474 30 co co NN A52264 2474 31 - - NN A52264 2474 32 sine sine NN A52264 2474 33 of of IN A52264 2474 34 GZAE GZAE NNP A52264 2474 35 , , , A52264 2474 36 60 60 CD A52264 2474 37 9.698969 9.698969 CD A52264 2474 38 The the DT A52264 2474 39 declination declination NN A52264 2474 40 . . . A52264 2475 1 And and CC A52264 2475 2 now now RB A52264 2475 3 to to TO A52264 2475 4 calculate calculate VB A52264 2475 5 the the DT A52264 2475 6 houre houre NN A52264 2475 7 lines line NNS A52264 2475 8 of of IN A52264 2475 9 this this DT A52264 2475 10 Dial Dial NNP A52264 2475 11 , , , A52264 2475 12 you -PRON- PRP A52264 2475 13 must must MD A52264 2475 14 finde finde VB A52264 2475 15 , , , A52264 2475 16 first first RB A52264 2475 17 , , , A52264 2475 18 the the DT A52264 2475 19 distance distance NN A52264 2475 20 of of IN A52264 2475 21 the the DT A52264 2475 22 Meridian Meridian NNP A52264 2475 23 from from IN A52264 2475 24 the the DT A52264 2475 25 Horizon Horizon NNP A52264 2475 26 , , , A52264 2475 27 by by IN A52264 2475 28 the the DT A52264 2475 29 8 8 CD A52264 2475 30 Case case NN A52264 2475 31 of of IN A52264 2475 32 right right RB A52264 2475 33 angled angle VBN A52264 2475 34 Spherical spherical JJ A52264 2475 35 triangles triangle NNS A52264 2475 36 . . . A52264 2476 1 As as IN A52264 2476 2 the the DT A52264 2476 3 Radius Radius NNP A52264 2476 4 , , , A52264 2476 5 90 90 CD A52264 2476 6 10.000000 10.000000 CD A52264 2476 7 Is be VBZ A52264 2476 8 to to IN A52264 2476 9 the the DT A52264 2476 10 sine sine NN A52264 2476 11 of of IN A52264 2476 12 ZAE ZAE NNP A52264 2476 13 , , , A52264 2476 14 51.53 51.53 CD A52264 2476 15 9.893725 9.893725 CD A52264 2476 16 So so RB A52264 2476 17 is be VBZ A52264 2476 18 the the DT A52264 2476 19 sine sine NN A52264 2476 20 of of IN A52264 2476 21 GZAE GZAE NNP A52264 2476 22 , , , A52264 2476 23 60 60 CD A52264 2476 24 9.937531 9.937531 CD A52264 2476 25 To to IN A52264 2476 26 the the DT A52264 2476 27 sine sine NN A52264 2476 28 of of IN A52264 2476 29 AEG AEG NNP A52264 2476 30 , , , A52264 2476 31 42.69 42.69 CD A52264 2476 32 9.831256 9.831256 CD A52264 2476 33 Who who WP A52264 2476 34 s s NNPS A52264 2476 35 's 's POS A52264 2476 36 complement complement NN A52264 2476 37 47 47 CD A52264 2476 38 deg deg NN A52264 2476 39 . . . A52264 2477 1 31 31 CD A52264 2477 2 min min NN A52264 2477 3 . . . A52264 2478 1 is be VBZ A52264 2478 2 AAE AAE NNP A52264 2478 3 the the DT A52264 2478 4 arch arch NN A52264 2478 5 desired desire VBD A52264 2478 6 . . . A52264 2479 1 2 2 LS A52264 2479 2 . . . A52264 2480 1 You -PRON- PRP A52264 2480 2 must must MD A52264 2480 3 finde finde VB A52264 2480 4 RP RP NNP A52264 2480 5 , , , A52264 2480 6 the the DT A52264 2480 7 height height NN A52264 2480 8 of of IN A52264 2480 9 the the DT A52264 2480 10 pole pole NN A52264 2480 11 above above IN A52264 2480 12 the the DT A52264 2480 13 plane plane NN A52264 2480 14 , , , A52264 2480 15 by by IN A52264 2480 16 the the DT A52264 2480 17 2 2 CD A52264 2480 18 Case Case NNP A52264 2480 19 of of IN A52264 2480 20 right right RB A52264 2480 21 angled angle VBN A52264 2480 22 Sphericall Sphericall NNP A52264 2480 23 Triangles Triangles NNP A52264 2480 24 , , , A52264 2480 25 for for CC A52264 2480 26 As as IN A52264 2480 27 the the DT A52264 2480 28 Radius Radius NNP A52264 2480 29 , , , A52264 2480 30 90 90 CD A52264 2480 31 10.000000 10.000000 CD A52264 2480 32 Is be VBZ A52264 2480 33 to to IN A52264 2480 34 the the DT A52264 2480 35 sine sine NN A52264 2480 36 of of IN A52264 2480 37 AEZG AEZG NNP A52264 2480 38 , , , A52264 2480 39 60 60 CD A52264 2480 40 9.937531 9.937531 CD A52264 2480 41 So so RB A52264 2480 42 is be VBZ A52264 2480 43 the the DT A52264 2480 44 co co JJ A52264 2480 45 - - NN A52264 2480 46 sine sine NN A52264 2480 47 of of IN A52264 2480 48 ZG ZG NNP A52264 2480 49 , , , A52264 2480 50 32.11 32.11 CD A52264 2480 51 9.927565 9.927565 CD A52264 2480 52 To to IN A52264 2480 53 the the DT A52264 2480 54 co co NN A52264 2480 55 - - NN A52264 2480 56 sine sine NN A52264 2480 57 of of IN A52264 2480 58 ZAEG ZAEG NNP A52264 2480 59 , , , A52264 2480 60 42.87 42.87 CD A52264 2480 61 9 9 CD A52264 2480 62 . . . A52264 2481 1 865 865 CD A52264 2481 2 ● ● SYM A52264 2481 3 9 9 CD A52264 2481 4 ● ● NFP A52264 2481 5 Which which WDT A52264 2481 6 is be VBZ A52264 2481 7 the the DT A52264 2481 8 height height NN A52264 2481 9 of of IN A52264 2481 10 the the DT A52264 2481 11 pole pole NN A52264 2481 12 above above IN A52264 2481 13 the the DT A52264 2481 14 plane plane NN A52264 2481 15 , , , A52264 2481 16 AER AER NNP A52264 2481 17 being be VBG A52264 2481 18 a a DT A52264 2481 19 Quadrant Quadrant NNP A52264 2481 20 , , , A52264 2481 21 PR pr NN A52264 2481 22 must must MD A52264 2481 23 needs needs VB A52264 2481 24 be be VB A52264 2481 25 the the DT A52264 2481 26 measure measure NN A52264 2481 27 of of IN A52264 2481 28 the the DT A52264 2481 29 angle angle NN A52264 2481 30 at at IN A52264 2481 31 AE AE NNP A52264 2481 32 . . . A52264 2482 1 3 3 LS A52264 2482 2 . . . A52264 2483 1 Because because IN A52264 2483 2 in in IN A52264 2483 3 all all DT A52264 2483 4 decliners decliner NNS A52264 2483 5 ( ( -LRB- A52264 2483 6 whose whose WP$ A52264 2483 7 planes plane NNS A52264 2483 8 passe passe VB A52264 2483 9 by by IN A52264 2483 10 the the DT A52264 2483 11 intersection intersection NN A52264 2483 12 of of IN A52264 2483 13 the the DT A52264 2483 14 Meridian Meridian NNP A52264 2483 15 and and CC A52264 2483 16 Equinoctiall Equinoctiall NNP A52264 2483 17 ) ) -RRB- A52264 2483 18 the the DT A52264 2483 19 substile substile NN A52264 2483 20 is be VBZ A52264 2483 21 perpendicular perpendicular JJ A52264 2483 22 to to IN A52264 2483 23 the the DT A52264 2483 24 Meridian Meridian NNP A52264 2483 25 , , , A52264 2483 26 therefore therefore RB A52264 2483 27 you -PRON- PRP A52264 2483 28 need nee MD A52264 2483 29 not not RB A52264 2483 30 seek seek VB A52264 2483 31 AER AER NNP A52264 2483 32 , , , A52264 2483 33 the the DT A52264 2483 34 distance distance NN A52264 2483 35 between between IN A52264 2483 36 the the DT A52264 2483 37 substile substile NNP A52264 2483 38 and and CC A52264 2483 39 Meridian Meridian NNP A52264 2483 40 , , , A52264 2483 41 which which WDT A52264 2483 42 is be VBZ A52264 2483 43 alwayes alwayes NNP A52264 2483 44 90 90 CD A52264 2483 45 deg deg NNP A52264 2483 46 . . . A52264 2484 1 and and CC A52264 2484 2 falleth falleth JJ A52264 2484 3 upon upon IN A52264 2484 4 the the DT A52264 2484 5 6 6 CD A52264 2484 6 a a DT A52264 2484 7 clock clock NN A52264 2484 8 houre houre NN A52264 2484 9 . . . A52264 2485 1 4 4 LS A52264 2485 2 . . . A52264 2486 1 Lastly lastly RB A52264 2486 2 , , , A52264 2486 3 the the DT A52264 2486 4 arch arch JJ A52264 2486 5 AER AER NNP A52264 2486 6 , , , A52264 2486 7 which which WDT A52264 2486 8 is be VBZ A52264 2486 9 the the DT A52264 2486 10 distance distance NN A52264 2486 11 of of IN A52264 2486 12 the the DT A52264 2486 13 substile substile NN A52264 2486 14 from from IN A52264 2486 15 the the DT A52264 2486 16 Meridian Meridian NNP A52264 2486 17 : : : A52264 2486 18 being be VBG A52264 2486 19 90 90 CD A52264 2486 20 degrees degree NNS A52264 2486 21 , , , A52264 2486 22 the the DT A52264 2486 23 angle angle NN A52264 2486 24 at at IN A52264 2486 25 P p NN A52264 2486 26 opposite opposite JJ A52264 2486 27 thereunto thereunto NNS A52264 2486 28 must must MD A52264 2486 29 needs needs VB A52264 2486 30 be be VB A52264 2486 31 90 90 CD A52264 2486 32 also also RB A52264 2486 33 : : : A52264 2486 34 from from IN A52264 2486 35 whence whence NN A52264 2486 36 it -PRON- PRP A52264 2486 37 followes follow VBZ A52264 2486 38 , , , A52264 2486 39 that that IN A52264 2486 40 the the DT A52264 2486 41 houres houre NNS A52264 2486 42 equidistant equidistant NN A52264 2486 43 from from IN A52264 2486 44 the the DT A52264 2486 45 six six CD A52264 2486 46 of of IN A52264 2486 47 the the DT A52264 2486 48 clock clock NN A52264 2486 49 hour hour NN A52264 2486 50 in in IN A52264 2486 51 Equinoctial equinoctial JJ A52264 2486 52 degrees degree NNS A52264 2486 53 shall shall MD A52264 2486 54 also also RB A52264 2486 55 have have VB A52264 2486 56 the the DT A52264 2486 57 like like JJ A52264 2486 58 distance distance NN A52264 2486 59 of of IN A52264 2486 60 degrees degree NNS A52264 2486 61 in in IN A52264 2486 62 their -PRON- PRP$ A52264 2486 63 arches arch NNS A52264 2486 64 upon upon IN A52264 2486 65 the the DT A52264 2486 66 plane plane NN A52264 2486 67 , , , A52264 2486 68 and and CC A52264 2486 69 so so RB A52264 2486 70 one one CD A52264 2486 71 half half NN A52264 2486 72 of of IN A52264 2486 73 the the DT A52264 2486 74 Diall Diall NNP A52264 2486 75 being be VBG A52264 2486 76 calculated calculate VBN A52264 2486 77 , , , A52264 2486 78 serves serve VBZ A52264 2486 79 for for IN A52264 2486 80 the the DT A52264 2486 81 whole whole NN A52264 2486 82 ; ; : A52264 2486 83 these these DT A52264 2486 84 things thing NNS A52264 2486 85 considered consider VBN A52264 2486 86 , , , A52264 2486 87 the the DT A52264 2486 88 true true JJ A52264 2486 89 hour hour NN A52264 2486 90 - - HYPH A52264 2486 91 distances distance NNS A52264 2486 92 may may MD A52264 2486 93 be be VB A52264 2486 94 found find VBN A52264 2486 95 , , , A52264 2486 96 by by IN A52264 2486 97 the the DT A52264 2486 98 first first JJ A52264 2486 99 case case NN A52264 2486 100 of of IN A52264 2486 101 right right JJ A52264 2486 102 angled angle VBN A52264 2486 103 spherical spherical JJ A52264 2486 104 triangles triangle NNS A52264 2486 105 : : : A52264 2486 106 for for IN A52264 2486 107 , , , A52264 2486 108 As as IN A52264 2486 109 the the DT A52264 2486 110 Radius Radius NNP A52264 2486 111 , , , A52264 2486 112 10.000000 10.000000 CD A52264 2486 113 Is be VBZ A52264 2486 114 to to IN A52264 2486 115 the the DT A52264 2486 116 sine sine NN A52264 2486 117 of of IN A52264 2486 118 PR PR NNP A52264 2486 119 42.87 42.87 CD A52264 2486 120 . . . A52264 2487 1 9.832724 9.832724 CD A52264 2487 2 So so RB A52264 2487 3 is be VBZ A52264 2487 4 the the DT A52264 2487 5 tangent tangent NN A52264 2487 6 of of IN A52264 2487 7 RP RP NNP A52264 2487 8 5 5 CD A52264 2487 9 . . . A52264 2488 1 15 15 CD A52264 2488 2 d. d. NNP A52264 2488 3 9.428052 9.428052 CD A52264 2488 4 To to IN A52264 2488 5 the the DT A52264 2488 6 tangent tangent NN A52264 2488 7 of of IN A52264 2488 8 R r NN A52264 2488 9 5 5 CD A52264 2488 10 ▪ ▪ CD A52264 2488 11 10.34 10.34 CD A52264 2488 12 . . . A52264 2489 1 9.260776 9.260776 CD A52264 2489 2 The the DT A52264 2489 3 which which WDT A52264 2489 4 10 10 CD A52264 2489 5 degr degr NN A52264 2489 6 . . . A52264 2490 1 34 34 CD A52264 2490 2 min min NN A52264 2490 3 . . . A52264 2491 1 is be VBZ A52264 2491 2 the the DT A52264 2491 3 true true JJ A52264 2491 4 distance distance NN A52264 2491 5 of of IN A52264 2491 6 5 5 CD A52264 2491 7 and and CC A52264 2491 8 7 7 CD A52264 2491 9 from from IN A52264 2491 10 the the DT A52264 2491 11 substile substile NN A52264 2491 12 or or CC A52264 2491 13 six six CD A52264 2491 14 of of IN A52264 2491 15 the the DT A52264 2491 16 clock clock NN A52264 2491 17 hour hour NN A52264 2491 18 , , , A52264 2491 19 and and CC A52264 2491 20 so so RB A52264 2491 21 of of IN A52264 2491 22 the the DT A52264 2491 23 rest rest NN A52264 2491 24 . . . A52264 2492 1 The the DT A52264 2492 2 Geometrical Geometrical NNP A52264 2492 3 projection projection NN A52264 2492 4 of of IN A52264 2492 5 this this DT A52264 2492 6 plane plane NN A52264 2492 7 needs need VBZ A52264 2492 8 no no DT A52264 2492 9 direction direction NN A52264 2492 10 ; ; : A52264 2492 11 those those DT A52264 2492 12 already already RB A52264 2492 13 given give VBN A52264 2492 14 are be VBP A52264 2492 15 sufficient sufficient JJ A52264 2492 16 , , , A52264 2492 17 according accord VBG A52264 2492 18 to to IN A52264 2492 19 which which WDT A52264 2492 20 this this DT A52264 2492 21 Diall Diall NNP A52264 2492 22 being be VBG A52264 2492 23 made make VBN A52264 2492 24 and and CC A52264 2492 25 rectified rectify VBN A52264 2492 26 by by IN A52264 2492 27 the the DT A52264 2492 28 declination declination NN A52264 2492 29 and and CC A52264 2492 30 reclination reclination NN A52264 2492 31 given give VBN A52264 2492 32 , , , A52264 2492 33 it -PRON- PRP A52264 2492 34 is be VBZ A52264 2492 35 prepared prepared JJ A52264 2492 36 for for IN A52264 2492 37 use use NN A52264 2492 38 . . . A52264 2493 1 2 2 LS A52264 2493 2 . . . A52264 2494 1 To to TO A52264 2494 2 draw draw VB A52264 2494 3 the the DT A52264 2494 4 hou hou NN A52264 2494 5 ● ● NFP A52264 2494 6 ● ● NFP A52264 2494 7 lines line NNS A52264 2494 8 upon upon IN A52264 2494 9 a a DT A52264 2494 10 North North NNP A52264 2494 11 reclining recline VBG A52264 2494 12 plane plane NN A52264 2494 13 , , , A52264 2494 14 declining decline VBG A52264 2494 15 East East NNP A52264 2494 16 or or CC A52264 2494 17 West West NNP A52264 2494 18 , , , A52264 2494 19 which which WDT A52264 2494 20 cutteth cutteth VBP A52264 2494 21 the the DT A52264 2494 22 meridian meridian NN A52264 2494 23 between between IN A52264 2494 24 the the DT A52264 2494 25 Zenith Zenith NNP A52264 2494 26 and and CC A52264 2494 27 the the DT A52264 2494 28 Equinoctial Equinoctial NNP A52264 2494 29 . . . A52264 2495 1 All all DT A52264 2495 2 North north JJ A52264 2495 3 reclining recline VBG A52264 2495 4 planes plane NNS A52264 2495 5 howsoever howsoever NN A52264 2495 6 declining declining NN A52264 2495 7 , , , A52264 2495 8 have have VBP A52264 2495 9 the the DT A52264 2495 10 North North NNP A52264 2495 11 pole pole NN A52264 2495 12 elevated elevate VBN A52264 2495 13 above above IN A52264 2495 14 them -PRON- PRP A52264 2495 15 , , , A52264 2495 16 and and CC A52264 2495 17 therefore therefore RB A52264 2495 18 the the DT A52264 2495 19 center center NN A52264 2495 20 of of IN A52264 2495 21 the the DT A52264 2495 22 Diall Diall NNP A52264 2495 23 must must MD A52264 2495 24 be be VB A52264 2495 25 so so RB A52264 2495 26 placed place VBN A52264 2495 27 above above IN A52264 2495 28 the the DT A52264 2495 29 plane plane NN A52264 2495 30 , , , A52264 2495 31 that that IN A52264 2495 32 the the DT A52264 2495 33 stile stile NN A52264 2495 34 may may MD A52264 2495 35 look look VB A52264 2495 36 upwards upwards RB A52264 2495 37 to to IN A52264 2495 38 the the DT A52264 2495 39 pole pole NN A52264 2495 40 , , , A52264 2495 41 neither neither CC A52264 2495 42 can can MD A52264 2495 43 it -PRON- PRP A52264 2495 44 be be VB A52264 2495 45 expected expect VBN A52264 2495 46 that that IN A52264 2495 47 the the DT A52264 2495 48 plane plane NN A52264 2495 49 being be VBG A52264 2495 50 elevated elevate VBN A52264 2495 51 above above IN A52264 2495 52 the the DT A52264 2495 53 horizon horizon NN A52264 2495 54 Southward Southward NNP A52264 2495 55 , , , A52264 2495 56 should should MD A52264 2495 57 at at IN A52264 2495 58 all all DT A52264 2495 59 times time NNS A52264 2495 60 of of IN A52264 2495 61 the the DT A52264 2495 62 year year NN A52264 2495 63 be be VB A52264 2495 64 enlightened enlighten VBN A52264 2495 65 by by IN A52264 2495 66 the the DT A52264 2495 67 Sun Sun NNP A52264 2495 68 , , , A52264 2495 69 except except IN A52264 2495 70 it -PRON- PRP A52264 2495 71 recline recline VBD A52264 2495 72 so so RB A52264 2495 73 far far RB A52264 2495 74 from from IN A52264 2495 75 the the DT A52264 2495 76 Zenith Zenith NNP A52264 2495 77 , , , A52264 2495 78 as as IN A52264 2495 79 to to TO A52264 2495 80 intersect intersect VB A52264 2495 81 the the DT A52264 2495 82 Meridian Meridian NNP A52264 2495 83 between between IN A52264 2495 84 the the DT A52264 2495 85 horizon horizon NN A52264 2495 86 and and CC A52264 2495 87 the the DT A52264 2495 88 Tropique Tropique NNP A52264 2495 89 of of IN A52264 2495 90 Capricorn Capricorn NNP A52264 2495 91 ; ; : A52264 2495 92 this this DT A52264 2495 93 plane plane NN A52264 2495 94 therefore therefore RB A52264 2495 95 reclining recline VBG A52264 2495 96 but but CC A52264 2495 97 16 16 CD A52264 2495 98 degrees degree NNS A52264 2495 99 from from IN A52264 2495 100 the the DT A52264 2495 101 Zenith Zenith NNP A52264 2495 102 , , , A52264 2495 103 and and CC A52264 2495 104 declining decline VBG A52264 2495 105 60 60 CD A52264 2495 106 can can MD A52264 2495 107 not not RB A52264 2495 108 shew shew VB A52264 2495 109 many many JJ A52264 2495 110 hours hour NNS A52264 2495 111 , , , A52264 2495 112 when when WRB A52264 2495 113 the the DT A52264 2495 114 Sun Sun NNP A52264 2495 115 is be VBZ A52264 2495 116 in in IN A52264 2495 117 his -PRON- PRP$ A52264 2495 118 greatest great JJS A52264 2495 119 Northern northern JJ A52264 2495 120 declination declination NN A52264 2495 121 , , , A52264 2495 122 partly partly RB A52264 2495 123 by by IN A52264 2495 124 reason reason NN A52264 2495 125 of of IN A52264 2495 126 the the DT A52264 2495 127 height height NN A52264 2495 128 of of IN A52264 2495 129 the the DT A52264 2495 130 plane plane NN A52264 2495 131 above above IN A52264 2495 132 the the DT A52264 2495 133 horizon horizon NN A52264 2495 134 , , , A52264 2495 135 and and CC A52264 2495 136 partly partly RB A52264 2495 137 by by IN A52264 2495 138 reason reason NN A52264 2495 139 of of IN A52264 2495 140 the the DT A52264 2495 141 great great JJ A52264 2495 142 declination declination NN A52264 2495 143 thereof thereof RB A52264 2495 144 , , , A52264 2495 145 hindring hindre VBG A52264 2495 146 the the DT A52264 2495 147 Sun Sun NNP A52264 2495 148 - - HYPH A52264 2495 149 beams beam NNS A52264 2495 150 from from IN A52264 2495 151 all all PDT A52264 2495 152 the the DT A52264 2495 153 morning morning NN A52264 2495 154 houres houre NNS A52264 2495 155 , , , A52264 2495 156 which which WDT A52264 2495 157 may may MD A52264 2495 158 be be VB A52264 2495 159 therefore therefore RB A52264 2495 160 left leave VBN A52264 2495 161 out out RP A52264 2495 162 as as IN A52264 2495 163 useless useless JJ A52264 2495 164 . . . A52264 2496 1 In in IN A52264 2496 2 this this DT A52264 2496 3 second second JJ A52264 2496 4 variety variety NN A52264 2496 5 , , , A52264 2496 6 the the DT A52264 2496 7 plane plane NN A52264 2496 8 represented represent VBN A52264 2496 9 by by IN A52264 2496 10 the the DT A52264 2496 11 Circle Circle NNP A52264 2496 12 AMB AMB NNP A52264 2496 13 in in IN A52264 2496 14 the the DT A52264 2496 15 last last JJ A52264 2496 16 Diagram Diagram NNP A52264 2496 17 , , , A52264 2496 18 cutteth cutteth VB A52264 2496 19 the the DT A52264 2496 20 Meridian Meridian NNP A52264 2496 21 at at IN A52264 2496 22 O o NN A52264 2496 23 between between IN A52264 2496 24 the the DT A52264 2496 25 Zenith Zenith NNP A52264 2496 26 and and CC A52264 2496 27 the the DT A52264 2496 28 Equator Equator NNP A52264 2496 29 , , , A52264 2496 30 ZM ZM NNP A52264 2496 31 being be VBG A52264 2496 32 the the DT A52264 2496 33 reclination reclination NN A52264 2496 34 , , , A52264 2496 35 16 16 CD A52264 2496 36 deg deg NN A52264 2496 37 . . . A52264 2497 1 ZAE ZAE NNP A52264 2497 2 the the DT A52264 2497 3 distance distance NN A52264 2497 4 of of IN A52264 2497 5 the the DT A52264 2497 6 Equator Equator NNP A52264 2497 7 from from IN A52264 2497 8 the the DT A52264 2497 9 Zenith Zenith NNP A52264 2497 10 , , , A52264 2497 11 51 51 CD A52264 2497 12 deg deg NN A52264 2497 13 . . . A52264 2498 1 53 53 CD A52264 2498 2 m. m. NN A52264 2498 3 and and CC A52264 2498 4 the the DT A52264 2498 5 declination declination NN A52264 2498 6 NC NC NNP A52264 2498 7 60 60 CD A52264 2498 8 as as IN A52264 2498 9 before before RB A52264 2498 10 . . . A52264 2499 1 As as IN A52264 2499 2 in in IN A52264 2499 3 the the DT A52264 2499 4 former former JJ A52264 2499 5 , , , A52264 2499 6 so so RB A52264 2499 7 in in IN A52264 2499 8 this this DT A52264 2499 9 Diall Diall NNP A52264 2499 10 , , , A52264 2499 11 the the DT A52264 2499 12 same same JJ A52264 2499 13 four four CD A52264 2499 14 things thing NNS A52264 2499 15 are be VBP A52264 2499 16 again again RB A52264 2499 17 to to TO A52264 2499 18 be be VB A52264 2499 19 found find VBN A52264 2499 20 before before IN A52264 2499 21 you -PRON- PRP A52264 2499 22 can can MD A52264 2499 23 calculate calculate VB A52264 2499 24 the the DT A52264 2499 25 houre houre NN A52264 2499 26 distances distance NNS A52264 2499 27 thereof thereof RB A52264 2499 28 . . . A52264 2500 1 The the DT A52264 2500 2 first first JJ A52264 2500 3 is be VBZ A52264 2500 4 the the DT A52264 2500 5 distance distance NN A52264 2500 6 of of IN A52264 2500 7 the the DT A52264 2500 8 Meridian Meridian NNP A52264 2500 9 from from IN A52264 2500 10 the the DT A52264 2500 11 Horizon Horizon NNP A52264 2500 12 , , , A52264 2500 13 represented represent VBN A52264 2500 14 in in IN A52264 2500 15 this this DT A52264 2500 16 plain plain NN A52264 2500 17 by by IN A52264 2500 18 the the DT A52264 2500 19 arch arch NN A52264 2500 20 A a NN A52264 2500 21 ● ● NFP A52264 2500 22 . . . A52264 2501 1 The the DT A52264 2501 2 second second JJ A52264 2501 3 is be VBZ A52264 2501 4 PR pr NN A52264 2501 5 , , , A52264 2501 6 the the DT A52264 2501 7 height height NN A52264 2501 8 of of IN A52264 2501 9 the the DT A52264 2501 10 pole pole NN A52264 2501 11 above above IN A52264 2501 12 the the DT A52264 2501 13 plane plane NN A52264 2501 14 . . . A52264 2502 1 The the DT A52264 2502 2 third third JJ A52264 2502 3 is be VBZ A52264 2502 4 ● ● . A52264 2502 5 R r NN A52264 2502 6 , , , A52264 2502 7 the the DT A52264 2502 8 distance distance NN A52264 2502 9 of of IN A52264 2502 10 the the DT A52264 2502 11 substile substile NN A52264 2502 12 or or CC A52264 2502 13 Meridian Meridian NNP A52264 2502 14 of of IN A52264 2502 15 the the DT A52264 2502 16 plane plane NN A52264 2502 17 , , , A52264 2502 18 from from IN A52264 2502 19 the the DT A52264 2502 20 Meridian Meridian NNP A52264 2502 21 of of IN A52264 2502 22 the the DT A52264 2502 23 place place NN A52264 2502 24 . . . A52264 2503 1 The the DT A52264 2503 2 fourth fourth JJ A52264 2503 3 is be VBZ A52264 2503 4 the the DT A52264 2503 5 angle angle NN A52264 2503 6 ● ● . A52264 2503 7 PR pr NN A52264 2503 8 between between IN A52264 2503 9 the the DT A52264 2503 10 two two CD A52264 2503 11 Meridians Meridians NNPS A52264 2503 12 : : : A52264 2503 13 all all DT A52264 2503 14 which which WDT A52264 2503 15 , , , A52264 2503 16 and and CC A52264 2503 17 the the DT A52264 2503 18 houre houre NN A52264 2503 19 distances distance NNS A52264 2503 20 also also RB A52264 2503 21 , , , A52264 2503 22 being be VBG A52264 2503 23 to to TO A52264 2503 24 be be VB A52264 2503 25 found find VBN A52264 2503 26 according accord VBG A52264 2503 27 to to IN A52264 2503 28 the the DT A52264 2503 29 directions direction NNS A52264 2503 30 of of IN A52264 2503 31 the the DT A52264 2503 32 last last JJ A52264 2503 33 Probl Probl NNP A52264 2503 34 . . . A52264 2504 1 there there EX A52264 2504 2 needeth needeth JJ A52264 2504 3 no no DT A52264 2504 4 further further JJ A52264 2504 5 instruction instruction NN A52264 2504 6 here here RB A52264 2504 7 . . . A52264 2505 1 3 3 LS A52264 2505 2 To to TO A52264 2505 3 draw draw VB A52264 2505 4 the the DT A52264 2505 5 houre houre NN A52264 2505 6 lines line NNS A52264 2505 7 upon upon IN A52264 2505 8 a a DT A52264 2505 9 North North NNP A52264 2505 10 reclining recline VBG A52264 2505 11 plane plane NN A52264 2505 12 , , , A52264 2505 13 declining decline VBG A52264 2505 14 East East NNP A52264 2505 15 or or CC A52264 2505 16 West West NNP A52264 2505 17 , , , A52264 2505 18 which which WDT A52264 2505 19 cutteth cutteth VBP A52264 2505 20 the the DT A52264 2505 21 Meridian Meridian NNP A52264 2505 22 between between IN A52264 2505 23 the the DT A52264 2505 24 Equator Equator NNP A52264 2505 25 and and CC A52264 2505 26 Horizon Horizon NNP A52264 2505 27 . . . A52264 2506 1 The the DT A52264 2506 2 last last JJ A52264 2506 3 variety variety NN A52264 2506 4 of of IN A52264 2506 5 the the DT A52264 2506 6 six six CD A52264 2506 7 declining decline VBG A52264 2506 8 recliners recliner NNS A52264 2506 9 , , , A52264 2506 10 represented represent VBN A52264 2506 11 by by IN A52264 2506 12 the the DT A52264 2506 13 circle circle NN A52264 2506 14 ALB ALB NNP A52264 2506 15 , , , A52264 2506 16 and and CC A52264 2506 17 cutteth cutteth VB A52264 2506 18 the the DT A52264 2506 19 Meridian Meridian NNP A52264 2506 20 at at IN A52264 2506 21 H h NN A52264 2506 22 , , , A52264 2506 23 between between IN A52264 2506 24 the the DT A52264 2506 25 Equator Equator NNP A52264 2506 26 and and CC A52264 2506 27 the the DT A52264 2506 28 Horizon Horizon NNP A52264 2506 29 , , , A52264 2506 30 ZL ZL NNP A52264 2506 31 being be VBG A52264 2506 32 the the DT A52264 2506 33 reclination reclination NN A52264 2506 34 , , , A52264 2506 35 54 54 CD A52264 2506 36 deg deg NN A52264 2506 37 . . . A52264 2507 1 the the DT A52264 2507 2 declination declination NN A52264 2507 3 NC NC NNP A52264 2507 4 , , , A52264 2507 5 60 60 CD A52264 2507 6 deg deg NN A52264 2507 7 . . . A52264 2508 1 as as IN A52264 2508 2 before before RB A52264 2508 3 ; ; : A52264 2508 4 and and CC A52264 2508 5 hence hence RB A52264 2508 6 the the DT A52264 2508 7 four four CD A52264 2508 8 things thing NNS A52264 2508 9 mentioned mention VBN A52264 2508 10 before before RB A52264 2508 11 must must MD A52264 2508 12 be be VB A52264 2508 13 sought seek VBN A52264 2508 14 ere ere IN A52264 2508 15 you -PRON- PRP A52264 2508 16 can can MD A52264 2508 17 calculate calculate VB A52264 2508 18 the the DT A52264 2508 19 houre houre NN A52264 2508 20 distances distance NNS A52264 2508 21 . . . A52264 2509 1 1 1 CD A52264 2509 2 The the DT A52264 2509 3 distance distance NN A52264 2509 4 of of IN A52264 2509 5 the the DT A52264 2509 6 Meridian Meridian NNP A52264 2509 7 and and CC A52264 2509 8 Horizon Horizon NNP A52264 2509 9 , , , A52264 2509 10 represented represent VBN A52264 2509 11 by by IN A52264 2509 12 AH AH NNP A52264 2509 13 . . . A52264 2510 1 2 2 CD A52264 2510 2 RH RH NNP A52264 2510 3 the the DT A52264 2510 4 substile substile NN A52264 2510 5 . . . A52264 2511 1 or or CC A52264 2511 2 Meridian Meridian NNP A52264 2511 3 of of IN A52264 2511 4 the the DT A52264 2511 5 plane plane NN A52264 2511 6 from from IN A52264 2511 7 the the DT A52264 2511 8 Meridian Meridian NNP A52264 2511 9 of of IN A52264 2511 10 the the DT A52264 2511 11 place place NN A52264 2511 12 . . . A52264 2512 1 3 3 CD A52264 2512 2 PR pr NN A52264 2512 3 , , , A52264 2512 4 the the DT A52264 2512 5 height height NN A52264 2512 6 of of IN A52264 2512 7 the the DT A52264 2512 8 pole pole NN A52264 2512 9 above above IN A52264 2512 10 the the DT A52264 2512 11 plane plane NN A52264 2512 12 . . . A52264 2513 1 4 4 CD A52264 2513 2 HPR HPR NNP A52264 2513 3 , , , A52264 2513 4 the the DT A52264 2513 5 angle angle NN A52264 2513 6 between between IN A52264 2513 7 the the DT A52264 2513 8 two two CD A52264 2513 9 Meridians Meridians NNPS A52264 2513 10 . . . A52264 2514 1 In in IN A52264 2514 2 finding find VBG A52264 2514 3 whereof whereof IN A52264 2514 4 the the DT A52264 2514 5 proportions proportion NNS A52264 2514 6 are be VBP A52264 2514 7 still still RB A52264 2514 8 the the DT A52264 2514 9 same same JJ A52264 2514 10 , , , A52264 2514 11 though though IN A52264 2514 12 the the DT A52264 2514 13 triangles triangle NNS A52264 2514 14 are be VBP A52264 2514 15 somewhat somewhat RB A52264 2514 16 altered alter VBN A52264 2514 17 , , , A52264 2514 18 for for IN A52264 2514 19 when when WRB A52264 2514 20 you -PRON- PRP A52264 2514 21 have have VBP A52264 2514 22 found find VBN A52264 2514 23 ZH ZH NNP A52264 2514 24 , , , A52264 2514 25 it -PRON- PRP A52264 2514 26 is be VBZ A52264 2514 27 to to TO A52264 2514 28 be be VB A52264 2514 29 added add VBN A52264 2514 30 to to IN A52264 2514 31 ZP ZP NNP A52264 2514 32 to to IN A52264 2514 33 finde finde NN A52264 2514 34 PH PH NNP A52264 2514 35 , , , A52264 2514 36 both both DT A52264 2514 37 which which WDT A52264 2514 38 together together RB A52264 2514 39 do do VBP A52264 2514 40 exceed exceed VB A52264 2514 41 a a DT A52264 2514 42 Quadrant Quadrant NNP A52264 2514 43 , , , A52264 2514 44 therefore therefore RB A52264 2514 45 the the DT A52264 2514 46 sides side NNS A52264 2514 47 PN PN NNP A52264 2514 48 must must MD A52264 2514 49 be be VB A52264 2514 50 continued continue VBN A52264 2514 51 to to IN A52264 2514 52 X X NNS A52264 2514 53 , , , A52264 2514 54 then then RB A52264 2514 55 is be VBZ A52264 2514 56 PX PX NNP A52264 2514 57 the the DT A52264 2514 58 complement complement NN A52264 2514 59 of of IN A52264 2514 60 PH PH NNP A52264 2514 61 to to IN A52264 2514 62 a a DT A52264 2514 63 semicircle semicircle NN A52264 2514 64 , , , A52264 2514 65 and and CC A52264 2514 66 if if IN A52264 2514 67 RB RB NNP A52264 2514 68 be be VB A52264 2514 69 continued continue VBN A52264 2514 70 ● ● . A52264 2514 71 o o NN A52264 2514 72 X x NN A52264 2514 73 also also RB A52264 2514 74 , , , A52264 2514 75 RX RX NNP A52264 2514 76 may may MD A52264 2514 77 be be VB A52264 2514 78 found find VBN A52264 2514 79 by by IN A52264 2514 80 the the DT A52264 2514 81 12 12 CD A52264 2514 82 Case case NN A52264 2514 83 of of IN A52264 2514 84 right right JJ A52264 2514 85 angled angle VBN A52264 2514 86 spherical spherical JJ A52264 2514 87 triangles triangle NNS A52264 2514 88 as as IN A52264 2514 89 before before RB A52264 2514 90 , , , A52264 2514 91 whose whose WP$ A52264 2514 92 complement complement NN A52264 2514 93 is be VBZ A52264 2514 94 RH RH NNP A52264 2514 95 , , , A52264 2514 96 the the DT A52264 2514 97 distance distance NN A52264 2514 98 of of IN A52264 2514 99 the the DT A52264 2514 100 substile substile NN A52264 2514 101 from from IN A52264 2514 102 the the DT A52264 2514 103 Meridian Meridian NNP A52264 2514 104 ; ; : A52264 2514 105 and and CC A52264 2514 106 hence hence RB A52264 2514 107 the the DT A52264 2514 108 angle angle NN A52264 2514 109 at at IN A52264 2514 110 P p NN A52264 2514 111 must must MD A52264 2514 112 be be VB A52264 2514 113 found find VBN A52264 2514 114 in in IN A52264 2514 115 that that DT A52264 2514 116 triangle triangle NN A52264 2514 117 also also RB A52264 2514 118 , , , A52264 2514 119 though though IN A52264 2514 120 the the DT A52264 2514 121 proportion proportion NN A52264 2514 122 be be VB A52264 2514 123 the the DT A52264 2514 124 same same JJ A52264 2514 125 , , , A52264 2514 126 there there EX A52264 2514 127 being be VBG A52264 2514 128 no no DT A52264 2514 129 other other JJ A52264 2514 130 variety variety NN A52264 2514 131 , , , A52264 2514 132 I -PRON- PRP A52264 2514 133 think think VBP A52264 2514 134 it -PRON- PRP A52264 2514 135 needlesse needlesse VBP A52264 2514 136 to to TO A52264 2514 137 reiterate reiterate VB A52264 2514 138 the the DT A52264 2514 139 work work NN A52264 2514 140 . . . A52264 2515 1 The the DT A52264 2515 2 Geometrical Geometrical NNP A52264 2515 3 Projection Projection NNP A52264 2515 4 . . . A52264 2516 1 There there EX A52264 2516 2 is be VBZ A52264 2516 3 so so RB A52264 2516 4 little little JJ A52264 2516 5 difference difference NN A52264 2516 6 between between IN A52264 2516 7 the the DT A52264 2516 8 South South NNP A52264 2516 9 & & CC A52264 2516 10 North North NNP A52264 2516 11 declining decline VBG A52264 2516 12 reclining recline VBG A52264 2516 13 planes plane NNS A52264 2516 14 , , , A52264 2516 15 that that IN A52264 2516 16 the the DT A52264 2516 17 manner manner NN A52264 2516 18 of of IN A52264 2516 19 making make VBG A52264 2516 20 the the DT A52264 2516 21 Dials Dials NNPS A52264 2516 22 for for IN A52264 2516 23 both both DT A52264 2516 24 may may MD A52264 2516 25 be be VB A52264 2516 26 shewed shew VBN A52264 2516 27 at at IN A52264 2516 28 once once RB A52264 2516 29 : : : A52264 2516 30 Let let VB A52264 2516 31 the the DT A52264 2516 32 example example NN A52264 2516 33 therefore therefore RB A52264 2516 34 be be VB A52264 2516 35 a a DT A52264 2516 36 Diall Diall NNP A52264 2516 37 for for IN A52264 2516 38 a a DT A52264 2516 39 South south JJ A52264 2516 40 plane plane NN A52264 2516 41 declining decline VBG A52264 2516 42 East East NNP A52264 2516 43 30 30 CD A52264 2516 44 deg deg NN A52264 2516 45 . . . A52264 2517 1 reclining recline VBG A52264 2517 2 20 20 CD A52264 2517 3 deg deg NN A52264 2517 4 . . . A52264 2518 1 And and CC A52264 2518 2 thus thus RB A52264 2518 3 have have VBP A52264 2518 4 you -PRON- PRP A52264 2518 5 made make VBN A52264 2518 6 four four CD A52264 2518 7 Dials Dials NNPS A52264 2518 8 at at IN A52264 2518 9 once once RB A52264 2518 10 , , , A52264 2518 11 or or CC A52264 2518 12 at at IN A52264 2518 13 least least JJS A52264 2518 14 , , , A52264 2518 15 this this DT A52264 2518 16 Dial Dial NNP A52264 2518 17 thus thus RB A52264 2518 18 drawn draw VBN A52264 2518 19 may may MD A52264 2518 20 be be VB A52264 2518 21 made make VBN A52264 2518 22 to to TO A52264 2518 23 serve serve VB A52264 2518 24 four four CD A52264 2518 25 sorts sort NNS A52264 2518 26 of of IN A52264 2518 27 planes plane NNS A52264 2518 28 , , , A52264 2518 29 for for IN A52264 2518 30 first first RB A52264 2518 31 , , , A52264 2518 32 it -PRON- PRP A52264 2518 33 serves serve VBZ A52264 2518 34 for for IN A52264 2518 35 a a DT A52264 2518 36 South South NNP A52264 2518 37 declining decline VBG A52264 2518 38 East East NNP A52264 2518 39 30 30 CD A52264 2518 40 deg deg NN A52264 2518 41 . . . A52264 2519 1 reclining recline VBG A52264 2519 2 20 20 CD A52264 2519 3 deg deg NN A52264 2519 4 . . . A52264 2520 1 and and CC A52264 2520 2 if if IN A52264 2520 3 you -PRON- PRP A52264 2520 4 prick prick VBP A52264 2520 5 the the DT A52264 2520 6 houre houre NN A52264 2520 7 lines line NNS A52264 2520 8 through through IN A52264 2520 9 the the DT A52264 2520 10 paper paper NN A52264 2520 11 , , , A52264 2520 12 and and CC A52264 2520 13 draw draw VB A52264 2520 14 them -PRON- PRP A52264 2520 15 on on IN A52264 2520 16 the the DT A52264 2520 17 other other JJ A52264 2520 18 side side NN A52264 2520 19 stile stile NN A52264 2520 20 and and CC A52264 2520 21 all all DT A52264 2520 22 , , , A52264 2520 23 this this DT A52264 2520 24 Diall Diall NNP A52264 2520 25 will will MD A52264 2520 26 then then RB A52264 2520 27 be be VB A52264 2520 28 fitted fit VBN A52264 2520 29 for for IN A52264 2520 30 a a DT A52264 2520 31 South south JJ A52264 2520 32 plane plane NN A52264 2520 33 declining decline VBG A52264 2520 34 West West NNP A52264 2520 35 30 30 CD A52264 2520 36 deg deg NN A52264 2520 37 . . . A52264 2521 1 reclining recline VBG A52264 2521 2 20 20 CD A52264 2521 3 deg deg NN A52264 2521 4 . . . A52264 2522 1 only only RB A52264 2522 2 remember remember VB A52264 2522 3 to to TO A52264 2522 4 change change VB A52264 2522 5 the the DT A52264 2522 6 houres houre NNS A52264 2522 7 , , , A52264 2522 8 that that DT A52264 2522 9 is be VBZ A52264 2522 10 to to TO A52264 2522 11 say say VB A52264 2522 12 , , , A52264 2522 13 instead instead RB A52264 2522 14 of of IN A52264 2522 15 writing write VBG A52264 2522 16 5 5 CD A52264 2522 17 , , , A52264 2522 18 6 6 CD A52264 2522 19 , , , A52264 2522 20 7 7 CD A52264 2522 21 , , , A52264 2522 22 8 8 CD A52264 2522 23 , , , A52264 2522 24 9 9 CD A52264 2522 25 , , , A52264 2522 26 10 10 CD A52264 2522 27 , , , A52264 2522 28 11 11 CD A52264 2522 29 , , , A52264 2522 30 12 12 CD A52264 2522 31 , , , A52264 2522 32 1 1 CD A52264 2522 33 , , , A52264 2522 34 2 2 CD A52264 2522 35 , , , A52264 2522 36 3 3 CD A52264 2522 37 , , , A52264 2522 38 4 4 CD A52264 2522 39 , , , A52264 2522 40 from from IN A52264 2522 41 A a DT A52264 2522 42 , , , A52264 2522 43 the the DT A52264 2522 44 west west JJ A52264 2522 45 side side NN A52264 2522 46 of of IN A52264 2522 47 the the DT A52264 2522 48 East East NNP A52264 2522 49 declining decline VBG A52264 2522 50 plane plane NN A52264 2522 51 , , , A52264 2522 52 you -PRON- PRP A52264 2522 53 must must MD A52264 2522 54 write write VB A52264 2522 55 , , , A52264 2522 56 8 8 CD A52264 2522 57 , , , A52264 2522 58 9 9 CD A52264 2522 59 , , , A52264 2522 60 10 10 CD A52264 2522 61 , , , A52264 2522 62 11 11 CD A52264 2522 63 , , , A52264 2522 64 12 12 CD A52264 2522 65 , , , A52264 2522 66 1 1 CD A52264 2522 67 , , , A52264 2522 68 2 2 CD A52264 2522 69 , , , A52264 2522 70 3 3 CD A52264 2522 71 , , , A52264 2522 72 4 4 CD A52264 2522 73 , , , A52264 2522 74 5 5 CD A52264 2522 75 , , , A52264 2522 76 6 6 CD A52264 2522 77 , , , A52264 2522 78 7 7 CD A52264 2522 79 . . . A52264 2523 1 Again again RB A52264 2523 2 , , , A52264 2523 3 if if IN A52264 2523 4 you -PRON- PRP A52264 2523 5 turn turn VBP A52264 2523 6 the the DT A52264 2523 7 Zenith Zenith NNP A52264 2523 8 of of IN A52264 2523 9 your -PRON- PRP$ A52264 2523 10 Dial Dial NNP A52264 2523 11 downwards downwards RB A52264 2523 12 , , , A52264 2523 13 the the DT A52264 2523 14 South South NNP A52264 2523 15 declining decline VBG A52264 2523 16 East East NNP A52264 2523 17 reclining reclining NN A52264 2523 18 shall shall NN A52264 2523 19 in in IN A52264 2523 20 all all DT A52264 2523 21 respects respect NNS A52264 2523 22 serve serve VB A52264 2523 23 for for IN A52264 2523 24 a a DT A52264 2523 25 North North NNP A52264 2523 26 declining decline VBG A52264 2523 27 west west NN A52264 2523 28 inclining incline VBG A52264 2523 29 as as RB A52264 2523 30 much much JJ A52264 2523 31 ; ; : A52264 2523 32 and and CC A52264 2523 33 the the DT A52264 2523 34 South South NNP A52264 2523 35 declining decline VBG A52264 2523 36 West West NNP A52264 2523 37 reclining reclining NN A52264 2523 38 , , , A52264 2523 39 will will MD A52264 2523 40 likewise likewise RB A52264 2523 41 serve serve VB A52264 2523 42 for for IN A52264 2523 43 a a DT A52264 2523 44 North North NNP A52264 2523 45 declining decline VBG A52264 2523 46 East East NNP A52264 2523 47 inclining inclining NN A52264 2523 48 ; ; : A52264 2523 49 and and CC A52264 2523 50 therefore therefore RB A52264 2523 51 there there EX A52264 2523 52 needs need VBZ A52264 2523 53 no no DT A52264 2523 54 further further JJ A52264 2523 55 direction direction NN A52264 2523 56 either either CC A52264 2523 57 to to TO A52264 2523 58 make make VB A52264 2523 59 the the DT A52264 2523 60 one one NN A52264 2523 61 , , , A52264 2523 62 or or CC A52264 2523 63 calculate calculate VB A52264 2523 64 the the DT A52264 2523 65 other other JJ A52264 2523 66 . . . A52264 2524 1 CHAP CHAP NNP A52264 2524 2 . . . A52264 2525 1 III iii CD A52264 2525 2 . . . A52264 2526 1 Of of IN A52264 2526 2 the the DT A52264 2526 3 Art Art NNP A52264 2526 4 of of IN A52264 2526 5 NAVIGATION NAVIGATION NNP A52264 2526 6 . . . A52264 2527 1 Probl probl VB A52264 2527 2 . . . A52264 2528 1 1 1 LS A52264 2528 2 . . . A52264 2529 1 Of of IN A52264 2529 2 the the DT A52264 2529 3 32 32 CD A52264 2529 4 windes winde NNS A52264 2529 5 , , , A52264 2529 6 or or CC A52264 2529 7 Seamans Seamans NNPS A52264 2529 8 Compass Compass NNP A52264 2529 9 . . . A52264 2530 1 THe the DT A52264 2530 2 course course NN A52264 2530 3 of of IN A52264 2530 4 a a DT A52264 2530 5 ship ship NN A52264 2530 6 upon upon IN A52264 2530 7 the the DT A52264 2530 8 Sea Sea NNP A52264 2530 9 dependeth dependeth NN A52264 2530 10 upon upon IN A52264 2530 11 the the DT A52264 2530 12 windes winde NNS A52264 2530 13 : : : A52264 2530 14 The the DT A52264 2530 15 designation designation NN A52264 2530 16 of of IN A52264 2530 17 these these DT A52264 2530 18 depends depend VBZ A52264 2530 19 upon upon IN A52264 2530 20 the the DT A52264 2530 21 certain certain JJ A52264 2530 22 knowledge knowledge NN A52264 2530 23 of of IN A52264 2530 24 one one CD A52264 2530 25 principal principal NN A52264 2530 26 ; ; : A52264 2530 27 which which WDT A52264 2530 28 considering consider VBG A52264 2530 29 the the DT A52264 2530 30 situation situation NN A52264 2530 31 and and CC A52264 2530 32 condition condition NN A52264 2530 33 of of IN A52264 2530 34 the the DT A52264 2530 35 whole whole JJ A52264 2530 36 Sphere Sphere NNP A52264 2530 37 , , , A52264 2530 38 ought ought MD A52264 2530 39 in in IN A52264 2530 40 nature nature NN A52264 2530 41 to to TO A52264 2530 42 be be VB A52264 2530 43 North North NNP A52264 2530 44 or or CC A52264 2530 45 South South NNP A52264 2530 46 , , , A52264 2530 47 the the DT A52264 2530 48 North North NNP A52264 2530 49 to to IN A52264 2530 50 us -PRON- PRP A52264 2530 51 upon upon IN A52264 2530 52 this this DT A52264 2530 53 side side NN A52264 2530 54 of of IN A52264 2530 55 the the DT A52264 2530 56 Line Line NNP A52264 2530 57 , , , A52264 2530 58 the the DT A52264 2530 59 South South NNP A52264 2530 60 to to IN A52264 2530 61 those those DT A52264 2530 62 in in IN A52264 2530 63 the the DT A52264 2530 64 other other JJ A52264 2530 65 hemisphere hemisphere NN A52264 2530 66 ; ; : A52264 2530 67 for for IN A52264 2530 68 in in IN A52264 2530 69 making make VBG A52264 2530 70 this this DT A52264 2530 71 observation observation NN A52264 2530 72 men man NNS A52264 2530 73 were be VBD A52264 2530 74 to to TO A52264 2530 75 intend intend VB A52264 2530 76 themselves -PRON- PRP A52264 2530 77 towards towards IN A52264 2530 78 one one CD A52264 2530 79 fixed fix VBN A52264 2530 80 part part NN A52264 2530 81 of of IN A52264 2530 82 the the DT A52264 2530 83 heavens heavens NNPS A52264 2530 84 or or CC A52264 2530 85 other other JJ A52264 2530 86 , , , A52264 2530 87 and and CC A52264 2530 88 therefore therefore RB A52264 2530 89 to to IN A52264 2530 90 the the DT A52264 2530 91 one one CD A52264 2530 92 of of IN A52264 2530 93 these these DT A52264 2530 94 . . . A52264 2531 1 In in IN A52264 2531 2 the the DT A52264 2531 3 South South NNP A52264 2531 4 part part NN A52264 2531 5 there there EX A52264 2531 6 is be VBZ A52264 2531 7 not not RB A52264 2531 8 found find VBN A52264 2531 9 any any DT A52264 2531 10 star star NN A52264 2531 11 so so RB A52264 2531 12 notable notable JJ A52264 2531 13 , , , A52264 2531 14 and and CC A52264 2531 15 of of IN A52264 2531 16 so so RB A52264 2531 17 neer neer JJ A52264 2531 18 distance distance NN A52264 2531 19 from from IN A52264 2531 20 the the DT A52264 2531 21 Pole Pole NNP A52264 2531 22 , , , A52264 2531 23 as as IN A52264 2531 24 to to TO A52264 2531 25 make make VB A52264 2531 26 any any DT A52264 2531 27 precise precise JJ A52264 2531 28 or or CC A52264 2531 29 firm firm JJ A52264 2531 30 direction direction NN A52264 2531 31 of of IN A52264 2531 32 that that DT A52264 2531 33 winde winde NN A52264 2531 34 , , , A52264 2531 35 but but CC A52264 2531 36 in in IN A52264 2531 37 the the DT A52264 2531 38 North North NNP A52264 2531 39 we -PRON- PRP A52264 2531 40 have have VBP A52264 2531 41 that that DT A52264 2531 42 of of IN A52264 2531 43 the the DT A52264 2531 44 second second JJ A52264 2531 45 magnitude magnitude NN A52264 2531 46 in in IN A52264 2531 47 the the DT A52264 2531 48 tale tale NN A52264 2531 49 of of IN A52264 2531 50 the the DT A52264 2531 51 lesser less JJR A52264 2531 52 Bear Bear NNP A52264 2531 53 , , , A52264 2531 54 making make VBG A52264 2531 55 so so RB A52264 2531 56 small small JJ A52264 2531 57 and and CC A52264 2531 58 incensible incensible JJ A52264 2531 59 a a DT A52264 2531 60 circle circle NN A52264 2531 61 about about IN A52264 2531 62 the the DT A52264 2531 63 Pole Pole NNP A52264 2531 64 , , , A52264 2531 65 that that IN A52264 2531 66 it -PRON- PRP A52264 2531 67 commeth commeth VBZ A52264 2531 68 all all DT A52264 2531 69 to to IN A52264 2531 70 one one CD A52264 2531 71 , , , A52264 2531 72 as as IN A52264 2531 73 if if IN A52264 2531 74 it -PRON- PRP A52264 2531 75 were be VBD A52264 2531 76 the the DT A52264 2531 77 Pole Pole NNP A52264 2531 78 it -PRON- PRP A52264 2531 79 self self NN A52264 2531 80 . . . A52264 2532 1 This this DT A52264 2532 2 pointed point VBD A52264 2532 3 out out RP A52264 2532 4 the the DT A52264 2532 5 North North NNP A52264 2532 6 winde winde NN A52264 2532 7 to to IN A52264 2532 8 the the DT A52264 2532 9 Mariners Mariners NNPS A52264 2532 10 of of IN A52264 2532 11 old old JJ A52264 2532 12 especially especially RB A52264 2532 13 , , , A52264 2532 14 and and CC A52264 2532 15 was be VBD A52264 2532 16 therefore therefore RB A52264 2532 17 called call VBN A52264 2532 18 by by IN A52264 2532 19 some some DT A52264 2532 20 the the DT A52264 2532 21 Lead lead NN A52264 2532 22 or or CC A52264 2532 23 Lead lead NN A52264 2532 24 star star NN A52264 2532 25 ; ; : A52264 2532 26 but but CC A52264 2532 27 this this DT A52264 2532 28 could could MD A52264 2532 29 be be VB A52264 2532 30 only only RB A52264 2532 31 in in IN A52264 2532 32 the the DT A52264 2532 33 night night NN A52264 2532 34 , , , A52264 2532 35 and and CC A52264 2532 36 not not RB A52264 2532 37 alwayes alwayes NNP A52264 2532 38 then then RB A52264 2532 39 . . . A52264 2533 1 It -PRON- PRP A52264 2533 2 is be VBZ A52264 2533 3 now now RB A52264 2533 4 more more RBR A52264 2533 5 constantly constantly RB A52264 2533 6 and and CC A52264 2533 7 surely surely RB A52264 2533 8 shewed shew VBN A52264 2533 9 by by IN A52264 2533 10 the the DT A52264 2533 11 Needle Needle NNP A52264 2533 12 touched touch VBD A52264 2533 13 with with IN A52264 2533 14 the the DT A52264 2533 15 Magnet Magnet NNP A52264 2533 16 , , , A52264 2533 17 which which WDT A52264 2533 18 is be VBZ A52264 2533 19 therefore therefore RB A52264 2533 20 called call VBN A52264 2533 21 the the DT A52264 2533 22 Load Load NNP A52264 2533 23 or or CC A52264 2533 24 Lead lead NN A52264 2533 25 - - HYPH A52264 2533 26 stone stone NN A52264 2533 27 , , , A52264 2533 28 for for IN A52264 2533 29 the the DT A52264 2533 30 same same JJ A52264 2533 31 reason reason NN A52264 2533 32 of of IN A52264 2533 33 the the DT A52264 2533 34 leading lead VBG A52264 2533 35 and and CC A52264 2533 36 directing direct VBG A52264 2533 37 their -PRON- PRP$ A52264 2533 38 courses course NNS A52264 2533 39 to to IN A52264 2533 40 the the DT A52264 2533 41 North North NNP A52264 2533 42 and and CC A52264 2533 43 South South NNP A52264 2533 44 position position NN A52264 2533 45 of of IN A52264 2533 46 the the DT A52264 2533 47 earth earth NN A52264 2533 48 , , , A52264 2533 49 not not RB A52264 2533 50 in in IN A52264 2533 51 all all DT A52264 2533 52 parts part NNS A52264 2533 53 directly directly RB A52264 2533 54 , , , A52264 2533 55 because because IN A52264 2533 56 in in IN A52264 2533 57 following follow VBG A52264 2533 58 the the DT A52264 2533 59 constitution constitution NN A52264 2533 60 of of IN A52264 2533 61 the the DT A52264 2533 62 great great JJ A52264 2533 63 Magnet magnet NN A52264 2533 64 of of IN A52264 2533 65 the the DT A52264 2533 66 whole whole JJ A52264 2533 67 earth earth NN A52264 2533 68 , , , A52264 2533 69 it -PRON- PRP A52264 2533 70 must must MD A52264 2533 71 needs needs VB A52264 2533 72 be be VB A52264 2533 73 here here RB A52264 2533 74 and and CC A52264 2533 75 there there EX A52264 2533 76 led lead VBD A52264 2533 77 aside aside RB A52264 2533 78 towards towards IN A52264 2533 79 the the DT A52264 2533 80 East East NNP A52264 2533 81 or or CC A52264 2533 82 West West NNP A52264 2533 83 by by IN A52264 2533 84 the the DT A52264 2533 85 unequal unequal JJ A52264 2533 86 temper temper NN A52264 2533 87 of of IN A52264 2533 88 the the DT A52264 2533 89 Globe Globe NNP A52264 2533 90 ; ; : A52264 2533 91 consisting consist VBG A52264 2533 92 more more JJR A52264 2533 93 of of IN A52264 2533 94 water water NN A52264 2533 95 then then RB A52264 2533 96 of of IN A52264 2533 97 earth earth NN A52264 2533 98 in in IN A52264 2533 99 some some DT A52264 2533 100 places place NNS A52264 2533 101 , , , A52264 2533 102 and and CC A52264 2533 103 of of IN A52264 2533 104 earth earth NN A52264 2533 105 more more RBR A52264 2533 106 or or CC A52264 2533 107 lesse lesse NNP A52264 2533 108 Magnetical Magnetical NNP A52264 2533 109 in in IN A52264 2533 110 others other NNS A52264 2533 111 . . . A52264 2534 1 This this DT A52264 2534 2 deviation deviation NN A52264 2534 3 of of IN A52264 2534 4 the the DT A52264 2534 5 Needle Needle NNP A52264 2534 6 , , , A52264 2534 7 the the DT A52264 2534 8 Mariners Mariners NNPS A52264 2534 9 call call VBP A52264 2534 10 North North NNP A52264 2534 11 - - HYPH A52264 2534 12 easting easting NN A52264 2534 13 , , , A52264 2534 14 & & CC A52264 2534 15 North North NNP A52264 2534 16 - - HYPH A52264 2534 17 westing westing NNP A52264 2534 18 , , , A52264 2534 19 as as IN A52264 2534 20 it -PRON- PRP A52264 2534 21 falleth falleth VBZ A52264 2534 22 out out RP A52264 2534 23 to to TO A52264 2534 24 be be VB A52264 2534 25 , , , A52264 2534 26 otherwise otherwise RB A52264 2534 27 , , , A52264 2534 28 and and CC A52264 2534 29 more more RBR A52264 2534 30 artificially artificially RB A52264 2534 31 , , , A52264 2534 32 the the DT A52264 2534 33 Variation Variation NNP A52264 2534 34 of of IN A52264 2534 35 the the DT A52264 2534 36 Compass Compass NNP A52264 2534 37 , , , A52264 2534 38 which which WDT A52264 2534 39 though though IN A52264 2534 40 it -PRON- PRP A52264 2534 41 pretend pretend VBP A52264 2534 42 uncertainty uncertainty NN A52264 2534 43 , , , A52264 2534 44 yet yet CC A52264 2534 45 proveth proveth JJ A52264 2534 46 to to TO A52264 2534 47 be be VB A52264 2534 48 one one CD A52264 2534 49 of of IN A52264 2534 50 the the DT A52264 2534 51 greatest great JJS A52264 2534 52 helps help VBZ A52264 2534 53 the the DT A52264 2534 54 Seaman Seaman NNP A52264 2534 55 hath hath NN A52264 2534 56 . . . A52264 2535 1 And and CC A52264 2535 2 the the DT A52264 2535 3 North North NNP A52264 2535 4 and and CC A52264 2535 5 South South NNP A52264 2535 6 windes winde NNS A52264 2535 7 being be VBG A52264 2535 8 thus thus RB A52264 2535 9 assured assure VBN A52264 2535 10 by by IN A52264 2535 11 the the DT A52264 2535 12 motion motion NN A52264 2535 13 either either CC A52264 2535 14 of of IN A52264 2535 15 direction direction NN A52264 2535 16 or or CC A52264 2535 17 variation variation NN A52264 2535 18 of of IN A52264 2535 19 the the DT A52264 2535 20 needle needle NN A52264 2535 21 , , , A52264 2535 22 the the DT A52264 2535 23 Mariner Mariner NNP A52264 2535 24 supposeth supposeth VBZ A52264 2535 25 his -PRON- PRP$ A52264 2535 26 ship ship NN A52264 2535 27 to to TO A52264 2535 28 be be VB A52264 2535 29 ( ( -LRB- A52264 2535 30 as as IN A52264 2535 31 it -PRON- PRP A52264 2535 32 alwayes alwayes NNP A52264 2535 33 is be VBZ A52264 2535 34 ) ) -RRB- A52264 2535 35 upon upon IN A52264 2535 36 some some DT A52264 2535 37 Horizon Horizon NNP A52264 2535 38 or or CC A52264 2535 39 other other JJ A52264 2535 40 , , , A52264 2535 41 the the DT A52264 2535 42 center center NN A52264 2535 43 whereof whereof NNP A52264 2535 44 is be VBZ A52264 2535 45 the the DT A52264 2535 46 place place NN A52264 2535 47 of of IN A52264 2535 48 the the DT A52264 2535 49 ship ship NN A52264 2535 50 . . . A52264 2536 1 The the DT A52264 2536 2 line line NN A52264 2536 3 of of IN A52264 2536 4 North North NNP A52264 2536 5 and and CC A52264 2536 6 South South NNP A52264 2536 7 found find VBD A52264 2536 8 ou ou NNP A52264 2536 9 ● ● NFP A52264 2536 10 by by IN A52264 2536 11 the the DT A52264 2536 12 Needle Needle NNP A52264 2536 13 , , , A52264 2536 14 a a DT A52264 2536 15 line line NN A52264 2536 16 crossing cross VBG A52264 2536 17 this this DT A52264 2536 18 at at IN A52264 2536 19 right right JJ A52264 2536 20 angles angle NNS A52264 2536 21 , , , A52264 2536 22 sheweth sheweth VB A52264 2536 23 the the DT A52264 2536 24 East East NNP A52264 2536 25 and and CC A52264 2536 26 West West NNP A52264 2536 27 , , , A52264 2536 28 and and CC A52264 2536 29 so so RB A52264 2536 30 they -PRON- PRP A52264 2536 31 have have VBP A52264 2536 32 the the DT A52264 2536 33 four four CD A52264 2536 34 Cardinall Cardinall NNP A52264 2536 35 windes winde NNS A52264 2536 36 , , , A52264 2536 37 crosse crosse NN A52264 2536 38 again again RB A52264 2536 39 each each DT A52264 2536 40 of of IN A52264 2536 41 these these DT A52264 2536 42 lines line NNS A52264 2536 43 , , , A52264 2536 44 and and CC A52264 2536 45 they -PRON- PRP A52264 2536 46 have have VBP A52264 2536 47 the the DT A52264 2536 48 eight eight CD A52264 2536 49 whole whole JJ A52264 2536 50 windes winde NNS A52264 2536 51 , , , A52264 2536 52 as as IN A52264 2536 53 they -PRON- PRP A52264 2536 54 call call VBP A52264 2536 55 them -PRON- PRP A52264 2536 56 . . . A52264 2537 1 Another another DT A52264 2537 2 division division NN A52264 2537 3 of of IN A52264 2537 4 these these DT A52264 2537 5 maketh maketh NN A52264 2537 6 eight eight CD A52264 2537 7 more more JJR A52264 2537 8 which which WDT A52264 2537 9 they -PRON- PRP A52264 2537 10 call call VBP A52264 2537 11 halfe halfe NN A52264 2537 12 windes winde NNS A52264 2537 13 , , , A52264 2537 14 a a DT A52264 2537 15 third third JJ A52264 2537 16 makeeth makeeth NNP A52264 2537 17 16 16 CD A52264 2537 18 , , , A52264 2537 19 which which WDT A52264 2537 20 they -PRON- PRP A52264 2537 21 call call VBP A52264 2537 22 the the DT A52264 2537 23 quarter quarter NN A52264 2537 24 windes winde NNS A52264 2537 25 , , , A52264 2537 26 so so RB A52264 2537 27 they -PRON- PRP A52264 2537 28 are be VBP A52264 2537 29 32 32 CD A52264 2537 30 in in IN A52264 2537 31 all all DT A52264 2537 32 . . . A52264 2538 1 Every every DT A52264 2538 2 one one CD A52264 2538 3 of of IN A52264 2538 4 these these DT A52264 2538 5 Windes winde NNS A52264 2538 6 is be VBZ A52264 2538 7 otherwise otherwise RB A52264 2538 8 termed term VBN A52264 2538 9 a a DT A52264 2538 10 several several JJ A52264 2538 11 point point NN A52264 2538 12 of of IN A52264 2538 13 the the DT A52264 2538 14 Compasse Compasse NNP A52264 2538 15 , , , A52264 2538 16 and and CC A52264 2538 17 the the DT A52264 2538 18 whole whole JJ A52264 2538 19 line line NN A52264 2538 20 consisting consist VBG A52264 2538 21 of of IN A52264 2538 22 two two CD A52264 2538 23 windes winde NNS A52264 2538 24 , , , A52264 2538 25 as as IN A52264 2538 26 the the DT A52264 2538 27 line line NN A52264 2538 28 of of IN A52264 2538 29 North North NNP A52264 2538 30 and and CC A52264 2538 31 South South NNP A52264 2538 32 , , , A52264 2538 33 or or CC A52264 2538 34 that that DT A52264 2538 35 of of IN A52264 2538 36 East East NNP A52264 2538 37 and and CC A52264 2538 38 West West NNP A52264 2538 39 is be VBZ A52264 2538 40 called call VBN A52264 2538 41 a a DT A52264 2538 42 Rumb Rumb NNP A52264 2538 43 . . . A52264 2539 1 The the DT A52264 2539 2 Windes Windes NNPS A52264 2539 3 and and CC A52264 2539 4 Rumbs Rumbs NNPS A52264 2539 5 thus thus RB A52264 2539 6 assigned assign VBN A52264 2539 7 by by IN A52264 2539 8 an an DT A52264 2539 9 equal equal JJ A52264 2539 10 division division NN A52264 2539 11 of of IN A52264 2539 12 a a DT A52264 2539 13 great great JJ A52264 2539 14 Circle Circle NNP A52264 2539 15 into into IN A52264 2539 16 32 32 CD A52264 2539 17 parts part NNS A52264 2539 18 , , , A52264 2539 19 the the DT A52264 2539 20 angle angle NN A52264 2539 21 which which WDT A52264 2539 22 each each DT A52264 2539 23 Rumb Rumb NNP A52264 2539 24 maketh maketh NN A52264 2539 25 with with IN A52264 2539 26 the the DT A52264 2539 27 Meridian Meridian NNP A52264 2539 28 is be VBZ A52264 2539 29 easily easily RB A52264 2539 30 known know VBN A52264 2539 31 , , , A52264 2539 32 for for CC A52264 2539 33 if if IN A52264 2539 34 you -PRON- PRP A52264 2539 35 divide divide VBP A52264 2539 36 a a DT A52264 2539 37 quadrant quadrant NN A52264 2539 38 or or CC A52264 2539 39 90 90 CD A52264 2539 40 degrees degree NNS A52264 2539 41 in in IN A52264 2539 42 eight eight CD A52264 2539 43 parts part NNS A52264 2539 44 : : : A52264 2539 45 you -PRON- PRP A52264 2539 46 have have VBP A52264 2539 47 the the DT A52264 2539 48 angles angle NNS A52264 2539 49 which which WDT A52264 2539 50 the the DT A52264 2539 51 eight eight CD A52264 2539 52 windes winde NNS A52264 2539 53 reckoned reckon VBN A52264 2539 54 from from IN A52264 2539 55 North North NNP A52264 2539 56 to to IN A52264 2539 57 East East NNP A52264 2539 58 or or CC A52264 2539 59 West West NNP A52264 2539 60 do do VBP A52264 2539 61 make make VB A52264 2539 62 with with IN A52264 2539 63 the the DT A52264 2539 64 meridian meridian NN A52264 2539 65 ; ; : A52264 2539 66 and and CC A52264 2539 67 those those DT A52264 2539 68 reckoned reckon VBN A52264 2539 69 from from IN A52264 2539 70 South South NNP A52264 2539 71 to to IN A52264 2539 72 the the DT A52264 2539 73 East East NNP A52264 2539 74 or or CC A52264 2539 75 West West NNP A52264 2539 76 are be VBP A52264 2539 77 the the DT A52264 2539 78 same same JJ A52264 2539 79 , , , A52264 2539 80 and and CC A52264 2539 81 for for IN A52264 2539 82 your -PRON- PRP$ A52264 2539 83 better well JJR A52264 2539 84 direction direction NN A52264 2539 85 are be VBP A52264 2539 86 here here RB A52264 2539 87 exhibited exhibit VBN A52264 2539 88 in in IN A52264 2539 89 the the DT A52264 2539 90 Table table NN A52264 2539 91 following following NN A52264 2539 92 . . . A52264 2540 1 A a DT A52264 2540 2 Table table NN A52264 2540 3 for for IN A52264 2540 4 the the DT A52264 2540 5 angles angle NNS A52264 2540 6 which which WDT A52264 2540 7 every every DT A52264 2540 8 Rumb Rumb NNP A52264 2540 9 ● ● NFP A52264 2540 10 maketh maketh NN A52264 2540 11 with with IN A52264 2540 12 the the DT A52264 2540 13 Meridian Meridian NNP A52264 2540 14 . . . A52264 2541 1 North North NNP A52264 2541 2 South South NNP A52264 2541 3 D. D. NNP A52264 2541 4 part part NN A52264 2541 5 South South NNP A52264 2541 6 North North NNP A52264 2541 7         _SP A52264 2541 8 02.8125 02.8125 CD A52264 2541 9                 _SP A52264 2541 10 05.6250 05.6250 CD A52264 2541 11                 _SP A52264 2541 12 08.4375 08.4375 CD A52264 2541 13         _SP A52264 2541 14 N n NN A52264 2541 15 by by IN A52264 2541 16 E e NN A52264 2541 17 S s NN A52264 2541 18 by by IN A52264 2541 19 E e NN A52264 2541 20 11.2500 11.2500 CD A52264 2541 21 S s NN A52264 2541 22 by by IN A52264 2541 23 W w NN A52264 2541 24 N N NNP A52264 2541 25 by by IN A52264 2541 26 W w NN A52264 2541 27         _SP A52264 2541 28 14.0625 14.0625 CD A52264 2541 29                 _SP A52264 2541 30 16.8750 16.8750 CD A52264 2541 31                 _SP A52264 2541 32 19.6875 19.6875 CD A52264 2541 33         _SP A52264 2541 34 NNE NNE NNP A52264 2541 35 SSE SSE NNP A52264 2541 36 22.5000 22.5000 CD A52264 2541 37 SSW ssw NN A52264 2541 38 NNW NNW NNP A52264 2541 39         _SP A52264 2541 40 25.3125 25.3125 CD A52264 2541 41                 _SP A52264 2541 42 28.1250 28.1250 CD A52264 2541 43                 _SP A52264 2541 44 30.9375 30.9375 CD A52264 2541 45         _SP A52264 2541 46 NE NE NNP A52264 2541 47 by by IN A52264 2541 48 N N NNP A52264 2541 49 SE SE NNP A52264 2541 50 by by IN A52264 2541 51 S S NNP A52264 2541 52 33.7500 33.7500 CD A52264 2541 53 SW SW NNP A52264 2541 54 by by IN A52264 2541 55 S S NNP A52264 2541 56 NW NW NNP A52264 2541 57 b b NNP A52264 2541 58 N N NNP A52264 2541 59         _SP A52264 2541 60 36.5625 36.5625 CD A52264 2541 61                 _SP A52264 2541 62 39.3750 39.3750 CD A52264 2541 63                 _SP A52264 2541 64 42.1875 42.1875 CD A52264 2541 65         _SP A52264 2541 66 NE NE NNP A52264 2541 67 SE SE NNP A52264 2541 68 45.0000 45.0000 CD A52264 2541 69 SW SW NNP A52264 2541 70 NW NW NNP A52264 2541 71         _SP A52264 2541 72 47.8125 47.8125 CD A52264 2541 73                 _SP A52264 2541 74 50.6250 50.6250 CD A52264 2541 75                 _SP A52264 2541 76 53.4375 53.4375 CD A52264 2541 77         _SP A52264 2541 78 NE NE NNP A52264 2541 79 by by IN A52264 2541 80 E E NNP A52264 2541 81 SE SE NNP A52264 2541 82 by by IN A52264 2541 83 S S NNP A52264 2541 84 56.2500 56.2500 CD A52264 2541 85 SW SW NNP A52264 2541 86 b b NNP A52264 2541 87 W W NNP A52264 2541 88 NW NW NNP A52264 2541 89 b b NNP A52264 2541 90 W w NN A52264 2541 91         _SP A52264 2541 92 59.0625 59.0625 CD A52264 2541 93                 _SP A52264 2541 94 61.8650 61.8650 CD A52264 2541 95                 _SP A52264 2541 96 64.6875 64.6875 CD A52264 2541 97         _SP A52264 2541 98 ENE ene NN A52264 2541 99 ESE ESE NNP A52264 2541 100 67.5000 67.5000 CD A52264 2541 101 WSW WSW NNP A52264 2541 102 WNW WNW NNP A52264 2541 103         _SP A52264 2541 104 70.3125 70.3125 CD A52264 2541 105                 _SP A52264 2541 106 73.1250 73.1250 CD A52264 2541 107                 _SP A52264 2541 108 75.9375 75.9375 CD A52264 2541 109         _SP A52264 2541 110 E e NN A52264 2541 111 by by IN A52264 2541 112 N n NN A52264 2541 113 E e NN A52264 2541 114 by by IN A52264 2541 115 S s NN A52264 2541 116 78.7500 78.7500 CD A52264 2541 117 W w NN A52264 2541 118 by by IN A52264 2541 119 S S NNP A52264 2541 120 W w NN A52264 2541 121 by by IN A52264 2541 122 N n NN A52264 2541 123         _SP A52264 2541 124 81.5625 81.5625 CD A52264 2541 125                 _SP A52264 2541 126 84.3750 84.3750 CD A52264 2541 127                 _SP A52264 2541 128 87.1875 87.1875 CD A52264 2541 129         _SP A52264 2541 130 East East NNP A52264 2541 131 East East NNP A52264 2541 132 90.0000 90.0000 CD A52264 2541 133 West West NNP A52264 2541 134 West West NNP A52264 2541 135 Probl Probl NNP A52264 2541 136 . . . A52264 2542 1 2 2 LS A52264 2542 2 . . . A52264 2543 1 Of of IN A52264 2543 2 the the DT A52264 2543 3 description description NN A52264 2543 4 and and CC A52264 2543 5 making making NN A52264 2543 6 of of IN A52264 2543 7 the the DT A52264 2543 8 Sea Sea NNP A52264 2543 9 - - HYPH A52264 2543 10 chart chart NNP A52264 2543 11 . . . A52264 2544 1 THe the DT A52264 2544 2 Sea Sea NNP A52264 2544 3 - - HYPH A52264 2544 4 mans mans NNPS A52264 2544 5 Chart Chart NNP A52264 2544 6 is be VBZ A52264 2544 7 a a DT A52264 2544 8 Parallelogram Parallelogram NNP A52264 2544 9 , , , A52264 2544 10 divided divide VBN A52264 2544 11 into into IN A52264 2544 12 little little JJ A52264 2544 13 rectangled rectangle VBN A52264 2544 14 figures figure NNS A52264 2544 15 , , , A52264 2544 16 and and CC A52264 2544 17 in in IN A52264 2544 18 the the DT A52264 2544 19 plain plain JJ A52264 2544 20 Chart Chart NNP A52264 2544 21 are be VBP A52264 2544 22 equal equal JJ A52264 2544 23 Squares square NNS A52264 2544 24 , , , A52264 2544 25 representing represent VBG A52264 2544 26 the the DT A52264 2544 27 Longitudes Longitudes NNPS A52264 2544 28 and and CC A52264 2544 29 Latitudes Latitudes NNPS A52264 2544 30 of of IN A52264 2544 31 such such JJ A52264 2544 32 places place NNS A52264 2544 33 , , , A52264 2544 34 as as IN A52264 2544 35 may may MD A52264 2544 36 be be VB A52264 2544 37 set set VBN A52264 2544 38 in in IN A52264 2544 39 the the DT A52264 2544 40 Chart Chart NNP A52264 2544 41 , , , A52264 2544 42 but but CC A52264 2544 43 the the DT A52264 2544 44 body body NN A52264 2544 45 of of IN A52264 2544 46 the the DT A52264 2544 47 earth earth NN A52264 2544 48 being be VBG A52264 2544 49 of of IN A52264 2544 50 a a DT A52264 2544 51 Globular Globular NNP A52264 2544 52 form form NN A52264 2544 53 , , , A52264 2544 54 the the DT A52264 2544 55 degrees degree NNS A52264 2544 56 of of IN A52264 2544 57 Longitude longitude NN A52264 2544 58 reckoned reckon VBD A52264 2544 59 in in IN A52264 2544 60 the the DT A52264 2544 61 Equator Equator NNP A52264 2544 62 from from IN A52264 2544 63 the the DT A52264 2544 64 Meridian Meridian NNP A52264 2544 65 , , , A52264 2544 66 are be VBP A52264 2544 67 in in IN A52264 2544 68 no no DT A52264 2544 69 place place NN A52264 2544 70 equal equal JJ A52264 2544 71 to to IN A52264 2544 72 those those DT A52264 2544 73 of of IN A52264 2544 74 the the DT A52264 2544 75 Latitude Latitude NNP A52264 2544 76 reckoned reckon VBD A52264 2544 77 in in IN A52264 2544 78 the the DT A52264 2544 79 Meridian Meridian NNP A52264 2544 80 from from IN A52264 2544 81 the the DT A52264 2544 82 Equator equator NN A52264 2544 83 , , , A52264 2544 84 save save VB A52264 2544 85 onely onely RB A52264 2544 86 in in IN A52264 2544 87 the the DT A52264 2544 88 Equinoctial Equinoctial NNP A52264 2544 89 ; ; : A52264 2544 90 for for IN A52264 2544 91 the the DT A52264 2544 92 degrees degree NNS A52264 2544 93 of of IN A52264 2544 94 latitude latitude NN A52264 2544 95 are be VBP A52264 2544 96 all all RB A52264 2544 97 equall equall JJ A52264 2544 98 throughout throughout IN A52264 2544 99 the the DT A52264 2544 100 whole whole JJ A52264 2544 101 Globe Globe NNP A52264 2544 102 , , , A52264 2544 103 and and CC A52264 2544 104 as as RB A52264 2544 105 large large JJ A52264 2544 106 as as IN A52264 2544 107 those those DT A52264 2544 108 of of IN A52264 2544 109 the the DT A52264 2544 110 Equinoctial equinoctial JJ A52264 2544 111 ; ; : A52264 2544 112 but but CC A52264 2544 113 the the DT A52264 2544 114 degrees degree NNS A52264 2544 115 of of IN A52264 2544 116 Longitude longitude NN A52264 2544 117 at at IN A52264 2544 118 every every DT A52264 2544 119 parallel parallel NN A52264 2544 120 of of IN A52264 2544 121 Latitude Latitude NNP A52264 2544 122 lessen lessen VBD A52264 2544 123 themselves -PRON- PRP A52264 2544 124 in in IN A52264 2544 125 such such JJ A52264 2544 126 proportion proportion NN A52264 2544 127 as as IN A52264 2544 128 that that DT A52264 2544 129 parallel parallel NN A52264 2544 130 is be VBZ A52264 2544 131 lesse lesse NNP A52264 2544 132 then then RB A52264 2544 133 the the DT A52264 2544 134 Equinoctial Equinoctial NNP A52264 2544 135 : : : A52264 2544 136 This this DT A52264 2544 137 dis dis NN A52264 2544 138 - - HYPH A52264 2544 139 proportion proportion NN A52264 2544 140 of of IN A52264 2544 141 longitude longitude NN A52264 2544 142 and and CC A52264 2544 143 latitude latitude NN A52264 2544 144 caused cause VBN A52264 2544 145 for for IN A52264 2544 146 a a DT A52264 2544 147 long long JJ A52264 2544 148 time time NN A52264 2544 149 much much JJ A52264 2544 150 errour errour NN A52264 2544 151 in in IN A52264 2544 152 the the DT A52264 2544 153 practise practise NN A52264 2544 154 of of IN A52264 2544 155 Navigation Navigation NNP A52264 2544 156 , , , A52264 2544 157 till till IN A52264 2544 158 at at IN A52264 2544 159 last last JJ A52264 2544 160 it -PRON- PRP A52264 2544 161 was be VBD A52264 2544 162 in in IN A52264 2544 163 part part NN A52264 2544 164 reconciled reconcile VBN A52264 2544 165 by by IN A52264 2544 166 Mercator Mercator NNP A52264 2544 167 , , , A52264 2544 168 that that DT A52264 2544 169 famous famous JJ A52264 2544 170 Geographer Geographer NNP A52264 2544 171 : : : A52264 2544 172 and and CC A52264 2544 173 afterwards afterwards RB A52264 2544 174 exactly exactly RB A52264 2544 175 rectified rectify VBN A52264 2544 176 by by IN A52264 2544 177 our -PRON- PRP$ A52264 2544 178 worthy worthy JJ A52264 2544 179 Countreyman Countreyman NNP A52264 2544 180 Master Master NNP A52264 2544 181 Edward Edward NNP A52264 2544 182 Wright Wright NNP A52264 2544 183 , , , A52264 2544 184 in in IN A52264 2544 185 his -PRON- PRP$ A52264 2544 186 Book Book NNP A52264 2544 187 entituled entitule VBD A52264 2544 188 , , , A52264 2544 189 The the DT A52264 2544 190 Correction Correction NNP A52264 2544 191 of of IN A52264 2544 192 Errours Errours NNP A52264 2544 193 in in IN A52264 2544 194 Navigation Navigation NNP A52264 2544 195 : : : A52264 2544 196 In in IN A52264 2544 197 which which WDT A52264 2544 198 he -PRON- PRP A52264 2544 199 hath hath VBP A52264 2544 200 demonstrated demonstrate VBD A52264 2544 201 by by IN A52264 2544 202 what what WDT A52264 2544 203 proportion proportion NN A52264 2544 204 the the DT A52264 2544 205 degrees degree NNS A52264 2544 206 of of IN A52264 2544 207 Longitude Longitude NNP A52264 2544 208 must must MD A52264 2544 209 either either CC A52264 2544 210 increase increase VB A52264 2544 211 or or CC A52264 2544 212 decrease decrease VB A52264 2544 213 in in IN A52264 2544 214 any any DT A52264 2544 215 Latitude Latitude NNP A52264 2544 216 , , , A52264 2544 217 his -PRON- PRP$ A52264 2544 218 words word NNS A52264 2544 219 are be VBP A52264 2544 220 as as IN A52264 2544 221 followeth followeth JJ A52264 2544 222 . . . A52264 2545 1 Suppose suppose VB A52264 2545 2 , , , A52264 2545 3 saith saith JJ A52264 2545 4 he -PRON- PRP A52264 2545 5 , , , A52264 2545 6 a a DT A52264 2545 7 spherical spherical JJ A52264 2545 8 Superficies superficie NNS A52264 2545 9 , , , A52264 2545 10 with with IN A52264 2545 11 Meridians Meridians NNPS A52264 2545 12 , , , A52264 2545 13 Parallels Parallels NNPS A52264 2545 14 , , , A52264 2545 15 Rumbes Rumbes NNPS A52264 2545 16 , , , A52264 2545 17 and and CC A52264 2545 18 the the DT A52264 2545 19 whole whole JJ A52264 2545 20 Hydrographial hydrographial JJ A52264 2545 21 description description NN A52264 2545 22 drawn draw VBN A52264 2545 23 thereupon thereupon RB A52264 2545 24 , , , A52264 2545 25 to to TO A52264 2545 26 be be VB A52264 2545 27 inscribed inscribe VBN A52264 2545 28 into into IN A52264 2545 29 a a DT A52264 2545 30 concave concave NNP A52264 2545 31 Cylinder Cylinder NNP A52264 2545 32 , , , A52264 2545 33 their -PRON- PRP$ A52264 2545 34 axes axis NNS A52264 2545 35 agreeing agree VBG A52264 2545 36 in in IN A52264 2545 37 one one CD A52264 2545 38 . . . A52264 2546 1 Let let VB A52264 2546 2 this this DT A52264 2546 3 Spherical spherical JJ A52264 2546 4 superficiees superficiee NNS A52264 2546 5 swell swell NN A52264 2546 6 like like IN A52264 2546 7 a a DT A52264 2546 8 bladder bladder NN A52264 2546 9 ( ( -LRB- A52264 2546 10 whiles while VBZ A52264 2546 11 it -PRON- PRP A52264 2546 12 is be VBZ A52264 2546 13 in in IN A52264 2546 14 blowing blow VBG A52264 2546 15 ) ) -RRB- A52264 2546 16 equally equally RB A52264 2546 17 alwayes alwaye NNS A52264 2546 18 in in IN A52264 2546 19 every every DT A52264 2546 20 part part NN A52264 2546 21 thereof thereof RB A52264 2546 22 ( ( -LRB- A52264 2546 23 that that DT A52264 2546 24 is be VBZ A52264 2546 25 as as RB A52264 2546 26 much much JJ A52264 2546 27 in in IN A52264 2546 28 Longitude Longitude NNP A52264 2546 29 as as IN A52264 2546 30 in in IN A52264 2546 31 Latitude Latitude NNP A52264 2546 32 , , , A52264 2546 33 til til IN A52264 2546 34 it -PRON- PRP A52264 2546 35 apply apply VBP A52264 2546 36 and and CC A52264 2546 37 joyn joyn VBP A52264 2546 38 it -PRON- PRP A52264 2546 39 self self NN A52264 2546 40 ( ( -LRB- A52264 2546 41 round round JJ A52264 2546 42 about about RB A52264 2546 43 and and CC A52264 2546 44 all all RB A52264 2546 45 along along RB A52264 2546 46 also also RB A52264 2546 47 towards towards IN A52264 2546 48 either either DT A52264 2546 49 pole pole NN A52264 2546 50 ) ) -RRB- A52264 2546 51 unto unto IN A52264 2546 52 the the DT A52264 2546 53 concave concave NNP A52264 2546 54 superficies superficie NNS A52264 2546 55 of of IN A52264 2546 56 the the DT A52264 2546 57 Cylinder Cylinder NNP A52264 2546 58 : : : A52264 2546 59 each each DT A52264 2546 60 parallel parallel NN A52264 2546 61 upon upon IN A52264 2546 62 this this DT A52264 2546 63 spherical spherical JJ A52264 2546 64 superficies superficie NNS A52264 2546 65 increasing increase VBG A52264 2546 66 successively successively RB A52264 2546 67 from from IN A52264 2546 68 the the DT A52264 2546 69 Equinoctial Equinoctial NNP A52264 2546 70 towards towards IN A52264 2546 71 either either DT A52264 2546 72 pole pole NN A52264 2546 73 , , , A52264 2546 74 until until IN A52264 2546 75 it -PRON- PRP A52264 2546 76 come come VBP A52264 2546 77 to to TO A52264 2546 78 be be VB A52264 2546 79 of of IN A52264 2546 80 equal equal JJ A52264 2546 81 diameter diameter NN A52264 2546 82 with with IN A52264 2546 83 the the DT A52264 2546 84 Cylinder Cylinder NNP A52264 2546 85 , , , A52264 2546 86 and and CC A52264 2546 87 consequently consequently RB A52264 2546 88 the the DT A52264 2546 89 Meridians Meridians NNPS A52264 2546 90 , , , A52264 2546 91 stil stil JJ A52264 2546 92 inclining incline VBG A52264 2546 93 themselves -PRON- PRP A52264 2546 94 , , , A52264 2546 95 till till IN A52264 2546 96 they -PRON- PRP A52264 2546 97 come come VBP A52264 2546 98 to to TO A52264 2546 99 be be VB A52264 2546 100 so so RB A52264 2546 101 far far RB A52264 2546 102 distant distant JJ A52264 2546 103 every every DT A52264 2546 104 where where WRB A52264 2546 105 each each DT A52264 2546 106 from from IN A52264 2546 107 other other JJ A52264 2546 108 , , , A52264 2546 109 as as IN A52264 2546 110 they -PRON- PRP A52264 2546 111 are be VBP A52264 2546 112 at at IN A52264 2546 113 the the DT A52264 2546 114 Equinoctial Equinoctial NNP A52264 2546 115 . . . A52264 2547 1 Thus thus RB A52264 2547 2 it -PRON- PRP A52264 2547 3 may may MD A52264 2547 4 most most RBS A52264 2547 5 easily easily RB A52264 2547 6 be be VB A52264 2547 7 understood understand VBN A52264 2547 8 , , , A52264 2547 9 how how WRB A52264 2547 10 a a DT A52264 2547 11 spherical spherical JJ A52264 2547 12 superficies superficie NNS A52264 2547 13 may may MD A52264 2547 14 by by IN A52264 2547 15 extension extension NN A52264 2547 16 be be VB A52264 2547 17 made make VBN A52264 2547 18 a a DT A52264 2547 19 Cylindrical Cylindrical NNP A52264 2547 20 , , , A52264 2547 21 and and CC A52264 2547 22 consequently consequently RB A52264 2547 23 a a DT A52264 2547 24 plain plain JJ A52264 2547 25 parallelogram parallelogram NN A52264 2547 26 superficies superficie NNS A52264 2547 27 ; ; : A52264 2547 28 because because IN A52264 2547 29 the the DT A52264 2547 30 superficies superficie NNS A52264 2547 31 of of IN A52264 2547 32 a a DT A52264 2547 33 cylinder cylinder NN A52264 2547 34 is be VBZ A52264 2547 35 nothing nothing NN A52264 2547 36 else else RB A52264 2547 37 but but CC A52264 2547 38 a a DT A52264 2547 39 plain plain JJ A52264 2547 40 parallelogram parallelogram NN A52264 2547 41 wound wound NN A52264 2547 42 about about RB A52264 2547 43 two two CD A52264 2547 44 equal equal JJ A52264 2547 45 equidistant equidistant NN A52264 2547 46 circles circle NNS A52264 2547 47 , , , A52264 2547 48 that that WDT A52264 2547 49 have have VBP A52264 2547 50 one one CD A52264 2547 51 common common JJ A52264 2547 52 axletree axletree NN A52264 2547 53 perpendicular perpendicular JJ A52264 2547 54 upon upon IN A52264 2547 55 the the DT A52264 2547 56 centers center NNS A52264 2547 57 of of IN A52264 2547 58 them -PRON- PRP A52264 2547 59 both both DT A52264 2547 60 , , , A52264 2547 61 and and CC A52264 2547 62 the the DT A52264 2547 63 peripheries periphery NNS A52264 2547 64 of of IN A52264 2547 65 each each DT A52264 2547 66 of of IN A52264 2547 67 them -PRON- PRP A52264 2547 68 equall equall VBP A52264 2547 69 to to IN A52264 2547 70 the the DT A52264 2547 71 length length NN A52264 2547 72 of of IN A52264 2547 73 the the DT A52264 2547 74 parallelogram parallelogram NN A52264 2547 75 , , , A52264 2547 76 as as IN A52264 2547 77 the the DT A52264 2547 78 distance distance NN A52264 2547 79 betwixt betwixt VBP A52264 2547 80 those those DT A52264 2547 81 circles circle NNS A52264 2547 82 , , , A52264 2547 83 or or CC A52264 2547 84 height height NN A52264 2547 85 of of IN A52264 2547 86 the the DT A52264 2547 87 cylinder cylinder NN A52264 2547 88 is be VBZ A52264 2547 89 equall equall JJ A52264 2547 90 to to IN A52264 2547 91 the the DT A52264 2547 92 breadth breadth NN A52264 2547 93 thereof thereof RB A52264 2547 94 . . . A52264 2548 1 So so RB A52264 2548 2 as as IN A52264 2548 3 the the DT A52264 2548 4 Nautical nautical JJ A52264 2548 5 planisphere planisphere NN A52264 2548 6 may may MD A52264 2548 7 be be VB A52264 2548 8 defined define VBN A52264 2548 9 to to TO A52264 2548 10 be be VB A52264 2548 11 nothing nothing NN A52264 2548 12 else else RB A52264 2548 13 but but CC A52264 2548 14 a a DT A52264 2548 15 parallelogram parallelogram NN A52264 2548 16 made make VBN A52264 2548 17 of of IN A52264 2548 18 the the DT A52264 2548 19 Spherical spherical JJ A52264 2548 20 superficies superficie NNS A52264 2548 21 of of IN A52264 2548 22 an an DT A52264 2548 23 Hydrographical Hydrographical NNP A52264 2548 24 Globe Globe NNP A52264 2548 25 inscribed inscribe VBN A52264 2548 26 into into IN A52264 2548 27 a a DT A52264 2548 28 concave concave NNP A52264 2548 29 cylinder cylinder NN A52264 2548 30 , , , A52264 2548 31 both both CC A52264 2548 32 their -PRON- PRP$ A52264 2548 33 axes axis NNS A52264 2548 34 concurring concur VBG A52264 2548 35 in in IN A52264 2548 36 one one CD A52264 2548 37 , , , A52264 2548 38 and and CC A52264 2548 39 the the DT A52264 2548 40 sphericall sphericall NN A52264 2548 41 superficies superficie NNS A52264 2548 42 swelling swell VBG A52264 2548 43 in in IN A52264 2548 44 every every DT A52264 2548 45 part part NN A52264 2548 46 equally equally RB A52264 2548 47 in in IN A52264 2548 48 longitude longitude NN A52264 2548 49 and and CC A52264 2548 50 latitude latitude NN A52264 2548 51 , , , A52264 2548 52 till till IN A52264 2548 53 every every DT A52264 2548 54 one one CD A52264 2548 55 of of IN A52264 2548 56 the the DT A52264 2548 57 parallels parallel NNS A52264 2548 58 thereupon thereupon RB A52264 2548 59 be be VB A52264 2548 60 inscribed inscribe VBN A52264 2548 61 into into IN A52264 2548 62 the the DT A52264 2548 63 cylinder cylinder NN A52264 2548 64 ( ( -LRB- A52264 2548 65 each each DT A52264 2548 66 parallel parallel RB A52264 2548 67 growing grow VBG A52264 2548 68 as as RB A52264 2548 69 great great JJ A52264 2548 70 as as IN A52264 2548 71 the the DT A52264 2548 72 Equinoctial Equinoctial NNP A52264 2548 73 , , , A52264 2548 74 or or CC A52264 2548 75 till till IN A52264 2548 76 the the DT A52264 2548 77 whole whole JJ A52264 2548 78 spherical spherical JJ A52264 2548 79 superficies superficie NNS A52264 2548 80 touch touch VBP A52264 2548 81 and and CC A52264 2548 82 apply apply VB A52264 2548 83 it -PRON- PRP A52264 2548 84 self self NN A52264 2548 85 every every DT A52264 2548 86 where where WRB A52264 2548 87 to to IN A52264 2548 88 the the DT A52264 2548 89 concavity concavity NN A52264 2548 90 of of IN A52264 2548 91 the the DT A52264 2548 92 cylinder cylinder NN A52264 2548 93 . . . A52264 2549 1 In in IN A52264 2549 2 this this DT A52264 2549 3 Nautical nautical JJ A52264 2549 4 planisphere planisphere NN A52264 2549 5 thus thus RB A52264 2549 6 conceived conceive VBD A52264 2549 7 to to TO A52264 2549 8 be be VB A52264 2549 9 made make VBN A52264 2549 10 , , , A52264 2549 11 all all DT A52264 2549 12 places place NNS A52264 2549 13 must must MD A52264 2549 14 needs needs VB A52264 2549 15 be be VB A52264 2549 16 situate situate JJ A52264 2549 17 in in IN A52264 2549 18 the the DT A52264 2549 19 same same JJ A52264 2549 20 longitudes longitude NNS A52264 2549 21 , , , A52264 2549 22 latitudes latitude NNS A52264 2549 23 , , , A52264 2549 24 and and CC A52264 2549 25 directions direction NNS A52264 2549 26 or or CC A52264 2549 27 courses course NNS A52264 2549 28 , , , A52264 2549 29 and and CC A52264 2549 30 upon upon IN A52264 2549 31 the the DT A52264 2549 32 same same JJ A52264 2549 33 meridians meridian NNS A52264 2549 34 , , , A52264 2549 35 parallels parallel NNS A52264 2549 36 and and CC A52264 2549 37 rumbes rumbe NNS A52264 2549 38 , , , A52264 2549 39 that that IN A52264 2549 40 they -PRON- PRP A52264 2549 41 were be VBD A52264 2549 42 in in IN A52264 2549 43 the the DT A52264 2549 44 Globe Globe NNP A52264 2549 45 , , , A52264 2549 46 because because IN A52264 2549 47 that that DT A52264 2549 48 at at IN A52264 2549 49 every every DT A52264 2549 50 point point NN A52264 2549 51 between between IN A52264 2549 52 the the DT A52264 2549 53 Equinoctial Equinoctial NNP A52264 2549 54 and and CC A52264 2549 55 the the DT A52264 2549 56 Pole Pole NNP A52264 2549 57 we -PRON- PRP A52264 2549 58 understand understand VBP A52264 2549 59 the the DT A52264 2549 60 spherical spherical JJ A52264 2549 61 superficies superficie NNS A52264 2549 62 , , , A52264 2549 63 whereof whereof NNP A52264 2549 64 this this DT A52264 2549 65 planisphere planisphere NN A52264 2549 66 is be VBZ A52264 2549 67 conceived conceive VBN A52264 2549 68 to to TO A52264 2549 69 be be VB A52264 2549 70 made make VBN A52264 2549 71 , , , A52264 2549 72 to to TO A52264 2549 73 swell swell VB A52264 2549 74 equally equally RB A52264 2549 75 as as RB A52264 2549 76 much much RB A52264 2549 77 in in IN A52264 2549 78 longitude longitude NN A52264 2549 79 as as IN A52264 2549 80 in in IN A52264 2549 81 latitude latitude NN A52264 2549 82 ( ( -LRB- A52264 2549 83 till till IN A52264 2549 84 it -PRON- PRP A52264 2549 85 joyn joyn NNP A52264 2549 86 it -PRON- PRP A52264 2549 87 self self NN A52264 2549 88 unto unto IN A52264 2549 89 the the DT A52264 2549 90 concavity concavity NN A52264 2549 91 of of IN A52264 2549 92 the the DT A52264 2549 93 cylinder cylinder NN A52264 2549 94 ; ; : A52264 2549 95 so so CC A52264 2549 96 as as IN A52264 2549 97 hereby hereby RB A52264 2549 98 no no DT A52264 2549 99 part part NN A52264 2549 100 thereof thereof RB A52264 2549 101 is be VBZ A52264 2549 102 any any DT A52264 2549 103 way way NN A52264 2549 104 distorted distort VBN A52264 2549 105 or or CC A52264 2549 106 displaced displace VBN A52264 2549 107 out out IN A52264 2549 108 of of IN A52264 2549 109 his -PRON- PRP$ A52264 2549 110 true true JJ A52264 2549 111 and and CC A52264 2549 112 natural natural JJ A52264 2549 113 situation situation NN A52264 2549 114 upon upon IN A52264 2549 115 his -PRON- PRP$ A52264 2549 116 meridian meridian NN A52264 2549 117 , , , A52264 2549 118 parallel parallel JJ A52264 2549 119 or or CC A52264 2549 120 rumbe rumbe JJ A52264 2549 121 , , , A52264 2549 122 but but CC A52264 2549 123 onely onely RB A52264 2549 124 dilated dilated JJ A52264 2549 125 and and CC A52264 2549 126 enlarged enlarge VBD A52264 2549 127 , , , A52264 2549 128 the the DT A52264 2549 129 meridians meridian NNS A52264 2549 130 also also RB A52264 2549 131 , , , A52264 2549 132 parallels parallel NNS A52264 2549 133 , , , A52264 2549 134 and and CC A52264 2549 135 rumbes rumbe NNS A52264 2549 136 , , , A52264 2549 137 dilating dilate VBG A52264 2549 138 and and CC A52264 2549 139 enlarging enlarge VBG A52264 2549 140 themselves -PRON- PRP A52264 2549 141 likewise likewise RB A52264 2549 142 at at IN A52264 2549 143 every every DT A52264 2549 144 point point NN A52264 2549 145 of of IN A52264 2549 146 latitude latitude NN A52264 2549 147 in in IN A52264 2549 148 the the DT A52264 2549 149 same same JJ A52264 2549 150 proportion proportion NN A52264 2549 151 . . . A52264 2550 1 Now now RB A52264 2550 2 then then RB A52264 2550 3 let let VB A52264 2550 4 us -PRON- PRP A52264 2550 5 diligently diligently RB A52264 2550 6 consider consider VB A52264 2550 7 of of IN A52264 2550 8 the the DT A52264 2550 9 Geometrical geometrical JJ A52264 2550 10 lineaments lineament NNS A52264 2550 11 , , , A52264 2550 12 that that RB A52264 2550 13 is is RB A52264 2550 14 , , , A52264 2550 15 the the DT A52264 2550 16 meridians meridians NNPS A52264 2550 17 , , , A52264 2550 18 rumbes rumbe NNS A52264 2550 19 , , , A52264 2550 20 and and CC A52264 2550 21 parallels parallel NNS A52264 2550 22 of of IN A52264 2550 23 this this DT A52264 2550 24 imaginary imaginary JJ A52264 2550 25 Nautical Nautical NNP A52264 2550 26 planisphere planisphere NN A52264 2550 27 , , , A52264 2550 28 that that IN A52264 2550 29 we -PRON- PRP A52264 2550 30 may may MD A52264 2550 31 in in IN A52264 2550 32 like like NNP A52264 2550 33 manner manner NNP A52264 2550 34 expresse expresse NNP A52264 2550 35 the the DT A52264 2550 36 same same JJ A52264 2550 37 in in IN A52264 2550 38 the the DT A52264 2550 39 Mariners Mariners NNPS A52264 2550 40 Chart Chart NNP A52264 2550 41 : : : A52264 2550 42 for for IN A52264 2550 43 so so RB A52264 2550 44 undoubtedly undoubtedly RB A52264 2550 45 we -PRON- PRP A52264 2550 46 shall shall MD A52264 2550 47 have have VB A52264 2550 48 therein therein RB A52264 2550 49 a a DT A52264 2550 50 true true JJ A52264 2550 51 Hydrographical hydrographical JJ A52264 2550 52 description description NN A52264 2550 53 of of IN A52264 2550 54 all all DT A52264 2550 55 places place NNS A52264 2550 56 in in IN A52264 2550 57 their -PRON- PRP$ A52264 2550 58 longitudes longitude NNS A52264 2550 59 , , , A52264 2550 60 latitudes latitude NNS A52264 2550 61 , , , A52264 2550 62 and and CC A52264 2550 63 directions direction NNS A52264 2550 64 , , , A52264 2550 65 or or CC A52264 2550 66 respective respective JJ A52264 2550 67 situations situation NNS A52264 2550 68 each each DT A52264 2550 69 from from IN A52264 2550 70 other other JJ A52264 2550 71 , , , A52264 2550 72 according accord VBG A52264 2550 73 to to IN A52264 2550 74 the the DT A52264 2550 75 points point NNS A52264 2550 76 of of IN A52264 2550 77 the the DT A52264 2550 78 compasse compasse NN A52264 2550 79 in in IN A52264 2550 80 all all DT A52264 2550 81 things thing NNS A52264 2550 82 correspondent correspondent NN A52264 2550 83 to to IN A52264 2550 84 the the DT A52264 2550 85 Globe Globe NNP A52264 2550 86 , , , A52264 2550 87 without without IN A52264 2550 88 either either DT A52264 2550 89 sensible sensible JJ A52264 2550 90 or or CC A52264 2550 91 explicable explicable JJ A52264 2550 92 errour errour NN A52264 2550 93 . . . A52264 2551 1 First first RB A52264 2551 2 , , , A52264 2551 3 therefore therefore RB A52264 2551 4 in in IN A52264 2551 5 this this DT A52264 2551 6 planisphere planisphere NN A52264 2551 7 , , , A52264 2551 8 because because IN A52264 2551 9 the the DT A52264 2551 10 parallels parallel NNS A52264 2551 11 are be VBP A52264 2551 12 every every DT A52264 2551 13 where where WRB A52264 2551 14 equal equal JJ A52264 2551 15 each each DT A52264 2551 16 to to IN A52264 2551 17 other other JJ A52264 2551 18 ( ( -LRB- A52264 2551 19 for for IN A52264 2551 20 every every DT A52264 2551 21 one one CD A52264 2551 22 of of IN A52264 2551 23 them -PRON- PRP A52264 2551 24 is be VBZ A52264 2551 25 equal equal JJ A52264 2551 26 to to IN A52264 2551 27 the the DT A52264 2551 28 Equinoctiall Equinoctiall NNP A52264 2551 29 or or CC A52264 2551 30 circumference circumference NN A52264 2551 31 of of IN A52264 2551 32 the the DT A52264 2551 33 circumscribing circumscribe VBG A52264 2551 34 cylinder cylinder NN A52264 2551 35 ) ) -RRB- A52264 2551 36 the the DT A52264 2551 37 meridians meridian NNS A52264 2551 38 also also RB A52264 2551 39 must must MD A52264 2551 40 needs needs VB A52264 2551 41 be be VB A52264 2551 42 parallel parallel JJ A52264 2551 43 & & CC A52264 2551 44 streight streight JJ A52264 2551 45 lines line NNS A52264 2551 46 ; ; : A52264 2551 47 and and CC A52264 2551 48 consequently consequently RB A52264 2551 49 the the DT A52264 2551 50 rumbes rumbe NNS A52264 2551 51 , , , A52264 2551 52 ( ( -LRB- A52264 2551 53 making make VBG A52264 2551 54 equall equall JJ A52264 2551 55 angles angle NNS A52264 2551 56 with with IN A52264 2551 57 every every DT A52264 2551 58 meridian meridian NN A52264 2551 59 ) ) -RRB- A52264 2551 60 must must MD A52264 2551 61 likewise likewise RB A52264 2551 62 be be VB A52264 2551 63 streight streight JJ A52264 2551 64 lines line NNS A52264 2551 65 . . . A52264 2552 1 Secondly secondly RB A52264 2552 2 , , , A52264 2552 3 because because IN A52264 2552 4 the the DT A52264 2552 5 spherical spherical JJ A52264 2552 6 superficies superficie NNS A52264 2552 7 whereof whereof IN A52264 2552 8 this this DT A52264 2552 9 planisphere planisphere NN A52264 2552 10 is be VBZ A52264 2552 11 conceived conceive VBN A52264 2552 12 to to TO A52264 2552 13 be be VB A52264 2552 14 made make VBN A52264 2552 15 , , , A52264 2552 16 swelleth swelleth JJ A52264 2552 17 in in IN A52264 2552 18 every every DT A52264 2552 19 part part NN A52264 2552 20 thereof thereof RB A52264 2552 21 equally equally RB A52264 2552 22 , , , A52264 2552 23 that that DT A52264 2552 24 is be VBZ A52264 2552 25 as as RB A52264 2552 26 much much JJ A52264 2552 27 in in IN A52264 2552 28 Latitude Latitude NNP A52264 2552 29 as as IN A52264 2552 30 in in IN A52264 2552 31 Longitude longitude NN A52264 2552 32 , , , A52264 2552 33 till till IN A52264 2552 34 it -PRON- PRP A52264 2552 35 apply apply VBP A52264 2552 36 it -PRON- PRP A52264 2552 37 self self NN A52264 2552 38 round round RB A52264 2552 39 about about IN A52264 2552 40 to to IN A52264 2552 41 the the DT A52264 2552 42 concavity concavity NN A52264 2552 43 of of IN A52264 2552 44 the the DT A52264 2552 45 cylinder cylinder NN A52264 2552 46 : : : A52264 2552 47 therefore therefore RB A52264 2552 48 at at IN A52264 2552 49 every every DT A52264 2552 50 point point NN A52264 2552 51 of of IN A52264 2552 52 Latitude Latitude NNP A52264 2552 53 in in IN A52264 2552 54 this this DT A52264 2552 55 planisphere planisphere NN A52264 2552 56 , , , A52264 2552 57 a a DT A52264 2552 58 part part NN A52264 2552 59 of of IN A52264 2552 60 the the DT A52264 2552 61 Meridian Meridian NNP A52264 2552 62 keepeth keepeth NNP A52264 2552 63 the the DT A52264 2552 64 same same JJ A52264 2552 65 proportion proportion NN A52264 2552 66 to to IN A52264 2552 67 the the DT A52264 2552 68 like like JJ A52264 2552 69 part part NN A52264 2552 70 of of IN A52264 2552 71 the the DT A52264 2552 72 parallel parallel NN A52264 2552 73 that that IN A52264 2552 74 the the DT A52264 2552 75 like like JJ A52264 2552 76 parts part NNS A52264 2552 77 of of IN A52264 2552 78 the the DT A52264 2552 79 Meridian Meridian NNP A52264 2552 80 , , , A52264 2552 81 and and CC A52264 2552 82 parallel parallel NNS A52264 2552 83 have have VBP A52264 2552 84 each each DT A52264 2552 85 to to IN A52264 2552 86 other other JJ A52264 2552 87 in in IN A52264 2552 88 the the DT A52264 2552 89 Globe Globe NNP A52264 2552 90 , , , A52264 2552 91 without without IN A52264 2552 92 any any DT A52264 2552 93 explicable explicable JJ A52264 2552 94 errour errour NN A52264 2552 95 . . . A52264 2553 1 And and CC A52264 2553 2 because because IN A52264 2553 3 like like IN A52264 2553 4 parts part NNS A52264 2553 5 of of IN A52264 2553 6 wholes whole NNS A52264 2553 7 keep keep VB A52264 2553 8 the the DT A52264 2553 9 same same JJ A52264 2553 10 proportion proportion NN A52264 2553 11 that that WDT A52264 2553 12 their -PRON- PRP$ A52264 2553 13 wholes whole NNS A52264 2553 14 have have VBP A52264 2553 15 therefore therefore RB A52264 2553 16 the the DT A52264 2553 17 like like JJ A52264 2553 18 parts part NNS A52264 2553 19 of of IN A52264 2553 20 any any DT A52264 2553 21 parallel parallel NN A52264 2553 22 and and CC A52264 2553 23 Meridian Meridian NNP A52264 2553 24 of of IN A52264 2553 25 the the DT A52264 2553 26 Globe Globe NNP A52264 2553 27 , , , A52264 2553 28 have have VBP A52264 2553 29 the the DT A52264 2553 30 same same JJ A52264 2553 31 proportion proportion NN A52264 2553 32 , , , A52264 2553 33 that that IN A52264 2553 34 the the DT A52264 2553 35 same same JJ A52264 2553 36 parallel parallel NNP A52264 2553 37 and and CC A52264 2553 38 meridian meridian NNP A52264 2553 39 have have VBP A52264 2553 40 . . . A52264 2554 1 For for IN A52264 2554 2 example example NN A52264 2554 3 sake sake NN A52264 2554 4 , , , A52264 2554 5 as as IN A52264 2554 6 the the DT A52264 2554 7 meridian meridian NN A52264 2554 8 is be VBZ A52264 2554 9 double double JJ A52264 2554 10 to to IN A52264 2554 11 the the DT A52264 2554 12 parallel parallel NN A52264 2554 13 of of IN A52264 2554 14 60 60 CD A52264 2554 15 degrees degree NNS A52264 2554 16 : : : A52264 2554 17 so so IN A52264 2554 18 a a DT A52264 2554 19 degree degree NN A52264 2554 20 of of IN A52264 2554 21 the the DT A52264 2554 22 meridian meridian NN A52264 2554 23 is be VBZ A52264 2554 24 double double JJ A52264 2554 25 to to IN A52264 2554 26 a a DT A52264 2554 27 degree degree NN A52264 2554 28 of of IN A52264 2554 29 that that DT A52264 2554 30 parallel parallel NN A52264 2554 31 , , , A52264 2554 32 or or CC A52264 2554 33 a a DT A52264 2554 34 minute minute NN A52264 2554 35 to to IN A52264 2554 36 a a DT A52264 2554 37 minute minute NN A52264 2554 38 , , , A52264 2554 39 and and CC A52264 2554 40 what what WDT A52264 2554 41 proportion proportion NN A52264 2554 42 the the DT A52264 2554 43 parallel parallel JJ A52264 2554 44 hath hath NN A52264 2554 45 to to IN A52264 2554 46 the the DT A52264 2554 47 meridian meridian NN A52264 2554 48 , , , A52264 2554 49 the the DT A52264 2554 50 same same JJ A52264 2554 51 proportion proportion NN A52264 2554 52 have have VBP A52264 2554 53 their -PRON- PRP$ A52264 2554 54 diameters diameter NNS A52264 2554 55 and and CC A52264 2554 56 semidiameters semidiameter NNS A52264 2554 57 each each DT A52264 2554 58 to to IN A52264 2554 59 other other JJ A52264 2554 60 . . . A52264 2555 1 But but CC A52264 2555 2 the the DT A52264 2555 3 sine sine NN A52264 2555 4 of of IN A52264 2555 5 the the DT A52264 2555 6 complement complement NN A52264 2555 7 of of IN A52264 2555 8 the the DT A52264 2555 9 parallels parallel NNS A52264 2555 10 latitude latitude NN A52264 2555 11 , , , A52264 2555 12 or or CC A52264 2555 13 distance distance NN A52264 2555 14 from from IN A52264 2555 15 the the DT A52264 2555 16 Equinoctial Equinoctial NNP A52264 2555 17 , , , A52264 2555 18 is be VBZ A52264 2555 19 the the DT A52264 2555 20 semidiameter semidiameter NN A52264 2555 21 of of IN A52264 2555 22 the the DT A52264 2555 23 parallel parallel NN A52264 2555 24 . . . A52264 2556 1 As as IN A52264 2556 2 here here RB A52264 2556 3 you -PRON- PRP A52264 2556 4 see see VBP A52264 2556 5 AE AE NNP A52264 2556 6 , , , A52264 2556 7 the the DT A52264 2556 8 sine sine NN A52264 2556 9 of of IN A52264 2556 10 AH AH NNP A52264 2556 11 , , , A52264 2556 12 the the DT A52264 2556 13 complement complement NN A52264 2556 14 of of IN A52264 2556 15 AF AF NNP A52264 2556 16 , , , A52264 2556 17 the the DT A52264 2556 18 latitude latitude NN A52264 2556 19 or or CC A52264 2556 20 distance distance NN A52264 2556 21 of of IN A52264 2556 22 the the DT A52264 2556 23 parallel parallel JJ A52264 2556 24 ABCD ABCD NNP A52264 2556 25 from from IN A52264 2556 26 the the DT A52264 2556 27 Equinoctial Equinoctial NNP A52264 2556 28 , , , A52264 2556 29 is be VBZ A52264 2556 30 the the DT A52264 2556 31 semidiameter semidiameter NN A52264 2556 32 of of IN A52264 2556 33 the the DT A52264 2556 34 same same JJ A52264 2556 35 parallel parallel NN A52264 2556 36 . . . A52264 2557 1 And and CC A52264 2557 2 as as IN A52264 2557 3 the the DT A52264 2557 4 semidiameter semidiameter NN A52264 2557 5 of of IN A52264 2557 6 the the DT A52264 2557 7 meridian meridian NNP A52264 2557 8 or or CC A52264 2557 9 whole whole NNP A52264 2557 10 sine sine NN A52264 2557 11 , , , A52264 2557 12 is be VBZ A52264 2557 13 to to IN A52264 2557 14 the the DT A52264 2557 15 semidiameter semidiameter NN A52264 2557 16 of of IN A52264 2557 17 the the DT A52264 2557 18 parallel parallel NN A52264 2557 19 ; ; : A52264 2557 20 so so RB A52264 2557 21 is be VBZ A52264 2557 22 the the DT A52264 2557 23 secant secant NN A52264 2557 24 or or CC A52264 2557 25 hypothenusa hypothenusa NNP A52264 2557 26 of of IN A52264 2557 27 the the DT A52264 2557 28 parallels parallel NNS A52264 2557 29 latitude latitude NN A52264 2557 30 , , , A52264 2557 31 or or CC A52264 2557 32 of of IN A52264 2557 33 the the DT A52264 2557 34 parallels parallel NNS A52264 2557 35 distance distance NN A52264 2557 36 from from IN A52264 2557 37 the the DT A52264 2557 38 Equinoctial Equinoctial NNP A52264 2557 39 , , , A52264 2557 40 to to IN A52264 2557 41 the the DT A52264 2557 42 semidiameter semidiameter NN A52264 2557 43 of of IN A52264 2557 44 the the DT A52264 2557 45 meridian meridian NNP A52264 2557 46 or or CC A52264 2557 47 whole whole JJ A52264 2557 48 sine sine NN A52264 2557 49 ; ; : A52264 2557 50 as as IN A52264 2557 51 FK FK NNP A52264 2557 52 , , , A52264 2557 53 ( ( -LRB- A52264 2557 54 that that DT A52264 2557 55 is be VBZ A52264 2557 56 AK AK NNP A52264 2557 57 ) ) -RRB- A52264 2557 58 to to IN A52264 2557 59 AE AE NNP A52264 2557 60 ( ( -LRB- A52264 2557 61 that that DT A52264 2557 62 is be VBZ A52264 2557 63 GK GK NNP A52264 2557 64 ) ) -RRB- A52264 2557 65 so so RB A52264 2557 66 is be VBZ A52264 2557 67 LK LK NNP A52264 2557 68 , , , A52264 2557 69 to to IN A52264 2557 70 KF KF NNP A52264 2557 71 . . . A52264 2558 1 Therefore therefore RB A52264 2558 2 in in IN A52264 2558 3 this this DT A52264 2558 4 nautical nautical JJ A52264 2558 5 planisphere planisphere NN A52264 2558 6 , , , A52264 2558 7 the the DT A52264 2558 8 Semidiameter Semidiameter NNP A52264 2558 9 of of IN A52264 2558 10 each each DT A52264 2558 11 parallel parallel NN A52264 2558 12 being be VBG A52264 2558 13 equal equal JJ A52264 2558 14 to to IN A52264 2558 15 the the DT A52264 2558 16 semidiameter semidiameter NN A52264 2558 17 of of IN A52264 2558 18 the the DT A52264 2558 19 Equinoctial Equinoctial NNP A52264 2558 20 , , , A52264 2558 21 that that RB A52264 2558 22 is is RB A52264 2558 23 , , , A52264 2558 24 to to IN A52264 2558 25 the the DT A52264 2558 26 whole whole JJ A52264 2558 27 sine sine NN A52264 2558 28 ; ; : A52264 2558 29 the the DT A52264 2558 30 parts part NNS A52264 2558 31 of of IN A52264 2558 32 the the DT A52264 2558 33 Meridian Meridian NNP A52264 2558 34 at at IN A52264 2558 35 every every DT A52264 2558 36 point point NN A52264 2558 37 of of IN A52264 2558 38 Latitude Latitude NNP A52264 2558 39 must must MD A52264 2558 40 needs needs VB A52264 2558 41 increase increase NN A52264 2558 42 with with IN A52264 2558 43 the the DT A52264 2558 44 same same JJ A52264 2558 45 proportion proportion NN A52264 2558 46 wherewith wherewith VBZ A52264 2558 47 the the DT A52264 2558 48 secants secant NNS A52264 2558 49 of of IN A52264 2558 50 the the DT A52264 2558 51 ark ark NN A52264 2558 52 , , , A52264 2558 53 conteined conteine VBN A52264 2558 54 between between IN A52264 2558 55 those those DT A52264 2558 56 points point NNS A52264 2558 57 of of IN A52264 2558 58 Latitude Latitude NNP A52264 2558 59 and and CC A52264 2558 60 the the DT A52264 2558 61 Equinoctial equinoctial JJ A52264 2558 62 do do VBP A52264 2558 63 increase increase VB A52264 2558 64 . . . A52264 2559 1 Now now RB A52264 2559 2 then then RB A52264 2559 3 we -PRON- PRP A52264 2559 4 have have VBP A52264 2559 5 an an DT A52264 2559 6 easie easie JJ A52264 2559 7 way way NN A52264 2559 8 laid lay VBN A52264 2559 9 open open JJ A52264 2559 10 for for IN A52264 2559 11 the the DT A52264 2559 12 making making NN A52264 2559 13 of of IN A52264 2559 14 a a DT A52264 2559 15 Table table NN A52264 2559 16 ( ( -LRB- A52264 2559 17 by by IN A52264 2559 18 help help NN A52264 2559 19 of of IN A52264 2559 20 the the DT A52264 2559 21 natural natural JJ A52264 2559 22 Canon Canon NNP A52264 2559 23 of of IN A52264 2559 24 Triangles Triangles NNPS A52264 2559 25 ) ) -RRB- A52264 2559 26 whereby whereby WRB A52264 2559 27 the the DT A52264 2559 28 meridians meridian NNS A52264 2559 29 of of IN A52264 2559 30 the the DT A52264 2559 31 Mariners Mariners NNPS A52264 2559 32 Chart Chart NNP A52264 2559 33 may may MD A52264 2559 34 most most RBS A52264 2559 35 easily easily RB A52264 2559 36 and and CC A52264 2559 37 truly truly RB A52264 2559 38 be be VB A52264 2559 39 divided divide VBN A52264 2559 40 into into IN A52264 2559 41 parts part NNS A52264 2559 42 , , , A52264 2559 43 in in IN A52264 2559 44 due due JJ A52264 2559 45 proportion proportion NN A52264 2559 46 , , , A52264 2559 47 and and CC A52264 2559 48 from from IN A52264 2559 49 the the DT A52264 2559 50 Equinoctial Equinoctial NNP A52264 2559 51 towards towards IN A52264 2559 52 either either DT A52264 2559 53 Pole Pole NNP A52264 2559 54 . . . A52264 2560 1 For for IN A52264 2560 2 ( ( -LRB- A52264 2560 3 supposing suppose VBG A52264 2560 4 each each DT A52264 2560 5 distance distance NN A52264 2560 6 of of IN A52264 2560 7 each each DT A52264 2560 8 point point NN A52264 2560 9 of of IN A52264 2560 10 latitude latitude NN A52264 2560 11 , , , A52264 2560 12 or or CC A52264 2560 13 of of IN A52264 2560 14 each each DT A52264 2560 15 parallel parallel NN A52264 2560 16 from from IN A52264 2560 17 other other JJ A52264 2560 18 , , , A52264 2560 19 to to TO A52264 2560 20 contein contein NNP A52264 2560 21 so so RB A52264 2560 22 many many JJ A52264 2560 23 parts part NNS A52264 2560 24 as as IN A52264 2560 25 the the DT A52264 2560 26 secant secant NN A52264 2560 27 of of IN A52264 2560 28 the the DT A52264 2560 29 latitude latitude NN A52264 2560 30 of of IN A52264 2560 31 each each DT A52264 2560 32 point point NN A52264 2560 33 or or CC A52264 2560 34 parallel parallel NN A52264 2560 35 conteineth conteineth NN A52264 2560 36 ) ) -RRB- A52264 2560 37 by by IN A52264 2560 38 perpetual perpetual JJ A52264 2560 39 addition addition NN A52264 2560 40 of of IN A52264 2560 41 the the DT A52264 2560 42 secants secant NNS A52264 2560 43 answerable answerable JJ A52264 2560 44 to to IN A52264 2560 45 the the DT A52264 2560 46 latitudes latitude NNS A52264 2560 47 of of IN A52264 2560 48 each each DT A52264 2560 49 point point NN A52264 2560 50 or or CC A52264 2560 51 parallel parallel NN A52264 2560 52 unto unto IN A52264 2560 53 the the DT A52264 2560 54 summe summe NN A52264 2560 55 compounded compound VBN A52264 2560 56 of of IN A52264 2560 57 all all PDT A52264 2560 58 the the DT A52264 2560 59 former former JJ A52264 2560 60 secants secant NNS A52264 2560 61 , , , A52264 2560 62 beginning begin VBG A52264 2560 63 with with IN A52264 2560 64 the the DT A52264 2560 65 secant secant NN A52264 2560 66 of of IN A52264 2560 67 the the DT A52264 2560 68 first first JJ A52264 2560 69 parallels parallel NNS A52264 2560 70 latitude latitude NN A52264 2560 71 , , , A52264 2560 72 and and CC A52264 2560 73 thereto thereto NN A52264 2560 74 adding add VBG A52264 2560 75 the the DT A52264 2560 76 secant secant NN A52264 2560 77 of of IN A52264 2560 78 the the DT A52264 2560 79 second second JJ A52264 2560 80 parallels parallel NNS A52264 2560 81 Latitude Latitude NNP A52264 2560 82 , , , A52264 2560 83 and and CC A52264 2560 84 to to IN A52264 2560 85 the the DT A52264 2560 86 summe summe NN A52264 2560 87 of of IN A52264 2560 88 both both PDT A52264 2560 89 these these DT A52264 2560 90 adjoyning adjoyne VBG A52264 2560 91 the the DT A52264 2560 92 secant secant NN A52264 2560 93 of of IN A52264 2560 94 the the DT A52264 2560 95 third third JJ A52264 2560 96 parallels parallel NNS A52264 2560 97 Latitude Latitude NNP A52264 2560 98 ; ; : A52264 2560 99 and and CC A52264 2560 100 so so RB A52264 2560 101 forth forth RB A52264 2560 102 in in IN A52264 2560 103 all all PDT A52264 2560 104 the the DT A52264 2560 105 rest rest NN A52264 2560 106 we -PRON- PRP A52264 2560 107 may may MD A52264 2560 108 make make VB A52264 2560 109 a a DT A52264 2560 110 Table table NN A52264 2560 111 which which WDT A52264 2560 112 shall shall MD A52264 2560 113 truly truly RB A52264 2560 114 shew shew VB A52264 2560 115 the the DT A52264 2560 116 sections section NNS A52264 2560 117 and and CC A52264 2560 118 points point NNS A52264 2560 119 of of IN A52264 2560 120 latitude latitude NN A52264 2560 121 in in IN A52264 2560 122 the the DT A52264 2560 123 Meridians Meridians NNPS A52264 2560 124 of of IN A52264 2560 125 the the DT A52264 2560 126 Nautical Nautical NNP A52264 2560 127 Planisphere Planisphere NNP A52264 2560 128 , , , A52264 2560 129 by by IN A52264 2560 130 which which WDT A52264 2560 131 sections section VBZ A52264 2560 132 the the DT A52264 2560 133 parallels parallel NNS A52264 2560 134 must must MD A52264 2560 135 be be VB A52264 2560 136 drawn draw VBN A52264 2560 137 . . . A52264 2561 1 As as IN A52264 2561 2 in in IN A52264 2561 3 the the DT A52264 2561 4 Table table NN A52264 2561 5 of of IN A52264 2561 6 meridional meridional JJ A52264 2561 7 parts part NNS A52264 2561 8 placed place VBN A52264 2561 9 at at IN A52264 2561 10 the the DT A52264 2561 11 end end NN A52264 2561 12 of of IN A52264 2561 13 this this DT A52264 2561 14 Discourse Discourse NNP A52264 2561 15 , , , A52264 2561 16 we -PRON- PRP A52264 2561 17 made make VBD A52264 2561 18 the the DT A52264 2561 19 distance distance NN A52264 2561 20 of of IN A52264 2561 21 each each DT A52264 2561 22 parallel parallel NN A52264 2561 23 from from IN A52264 2561 24 other other JJ A52264 2561 25 , , , A52264 2561 26 to to TO A52264 2561 27 be be VB A52264 2561 28 one one CD A52264 2561 29 minute minute NN A52264 2561 30 or or CC A52264 2561 31 centesm centesm NN A52264 2561 32 of of IN A52264 2561 33 a a DT A52264 2561 34 degree degree NN A52264 2561 35 : : : A52264 2561 36 and and CC A52264 2561 37 we -PRON- PRP A52264 2561 38 supposed suppose VBD A52264 2561 39 the the DT A52264 2561 40 space space NN A52264 2561 41 between between IN A52264 2561 42 any any DT A52264 2561 43 two two CD A52264 2561 44 parallels parallel NNS A52264 2561 45 , , , A52264 2561 46 next next RB A52264 2561 47 to to IN A52264 2561 48 each each DT A52264 2561 49 other other JJ A52264 2561 50 in in IN A52264 2561 51 the the DT A52264 2561 52 Planispere Planispere NNP A52264 2561 53 , , , A52264 2561 54 to to TO A52264 2561 55 contain contain VB A52264 2561 56 so so RB A52264 2561 57 many many JJ A52264 2561 58 parts part NNS A52264 2561 59 as as IN A52264 2561 60 the the DT A52264 2561 61 secant secant NN A52264 2561 62 answerable answerable JJ A52264 2561 63 to to IN A52264 2561 64 the the DT A52264 2561 65 distance distance NN A52264 2561 66 of of IN A52264 2561 67 the the DT A52264 2561 68 furthest furth JJS A52264 2561 69 of of IN A52264 2561 70 those those DT A52264 2561 71 two two CD A52264 2561 72 parallels parallel NNS A52264 2561 73 from from IN A52264 2561 74 the the DT A52264 2561 75 Equinoctial equinoctial JJ A52264 2561 76 ; ; : A52264 2561 77 and and CC A52264 2561 78 so so RB A52264 2561 79 by by IN A52264 2561 80 perpetual perpetual JJ A52264 2561 81 addition addition NN A52264 2561 82 of of IN A52264 2561 83 the the DT A52264 2561 84 secants secant NNS A52264 2561 85 of of IN A52264 2561 86 each each DT A52264 2561 87 minute minute NN A52264 2561 88 or or CC A52264 2561 89 centesm centesm NN A52264 2561 90 to to IN A52264 2561 91 the the DT A52264 2561 92 sum sum NN A52264 2561 93 compounded compound VBN A52264 2561 94 of of IN A52264 2561 95 all all PDT A52264 2561 96 the the DT A52264 2561 97 former former JJ A52264 2561 98 secants secant NNS A52264 2561 99 , , , A52264 2561 100 is be VBZ A52264 2561 101 made make VBN A52264 2561 102 the the DT A52264 2561 103 whole whole JJ A52264 2561 104 Table table NN A52264 2561 105 . . . A52264 2562 1 As as IN A52264 2562 2 for for IN A52264 2562 3 example example NN A52264 2562 4 , , , A52264 2562 5 the the DT A52264 2562 6 secant secant NN A52264 2562 7 of of IN A52264 2562 8 one one CD A52264 2562 9 centesm centesm NN A52264 2562 10 in in IN A52264 2562 11 Master Master NNP A52264 2562 12 Briggs Briggs NNP A52264 2562 13 's 's POS A52264 2562 14 Trigonometrica Trigonometrica NNP A52264 2562 15 Britannica Britannica NNP A52264 2562 16 is be VBZ A52264 2562 17 100000.00152 100000.00152 CD A52264 2562 18 , , , A52264 2562 19 which which WDT A52264 2562 20 also also RB A52264 2562 21 sheweth sheweth VBZ A52264 2562 22 the the DT A52264 2562 23 section section NN A52264 2562 24 of of IN A52264 2562 25 one one CD A52264 2562 26 minute minute NN A52264 2562 27 or or CC A52264 2562 28 centesm centesm NN A52264 2562 29 of of IN A52264 2562 30 the the DT A52264 2562 31 meridian meridian NN A52264 2562 32 from from IN A52264 2562 33 the the DT A52264 2562 34 Equinoctial Equinoctial NNP A52264 2562 35 in in IN A52264 2562 36 the the DT A52264 2562 37 Nautical Nautical NNP A52264 2562 38 Planisphere Planisphere NNP A52264 2562 39 ; ; : A52264 2562 40 whereunto whereunto RB A52264 2562 41 adde adde VB A52264 2562 42 the the DT A52264 2562 43 secants secant NNS A52264 2562 44 of of IN A52264 2562 45 two two CD A52264 2562 46 minutes minute NNS A52264 2562 47 or or CC A52264 2562 48 centesmes centesme NNS A52264 2562 49 , , , A52264 2562 50 that that RB A52264 2562 51 is is RB A52264 2562 52 100000 100000 CD A52264 2562 53 . . . A52264 2563 1 00609 00609 CD A52264 2563 2 , , , A52264 2563 3 the the DT A52264 2563 4 sum sum NN A52264 2563 5 is be VBZ A52264 2563 6 200000.00761 200000.00761 CD A52264 2563 7 . . . A52264 2564 1 which which WDT A52264 2564 2 sheweth sheweth VBZ A52264 2564 3 the the DT A52264 2564 4 section section NN A52264 2564 5 of of IN A52264 2564 6 the the DT A52264 2564 7 second second JJ A52264 2564 8 minute minute NN A52264 2564 9 of of IN A52264 2564 10 the the DT A52264 2564 11 meridian meridian NN A52264 2564 12 from from IN A52264 2564 13 the the DT A52264 2564 14 Equinoctial Equinoctial NNP A52264 2564 15 in in IN A52264 2564 16 the the DT A52264 2564 17 planisphere planisphere NN A52264 2564 18 : : : A52264 2564 19 to to IN A52264 2564 20 this this DT A52264 2564 21 sum sum NN A52264 2564 22 adde adde VB A52264 2564 23 the the DT A52264 2564 24 secant secant NN A52264 2564 25 of of IN A52264 2564 26 three three CD A52264 2564 27 minutes minute NNS A52264 2564 28 , , , A52264 2564 29 which which WDT A52264 2564 30 is be VBZ A52264 2564 31 100000.01371 100000.01371 CD A52264 2564 32 , , , A52264 2564 33 the the DT A52264 2564 34 sum sum NN A52264 2564 35 will will MD A52264 2564 36 be be VB A52264 2564 37 3000 3000 CD A52264 2564 38 ● ● SYM A52264 2564 39 0 0 CD A52264 2564 40 . . . A52264 2565 1 02132 02132 CD A52264 2565 2 , , , A52264 2565 3 which which WDT A52264 2565 4 sheweth sheweth VBZ A52264 2565 5 the the DT A52264 2565 6 section section NN A52264 2565 7 of of IN A52264 2565 8 the the DT A52264 2565 9 third third JJ A52264 2565 10 minute minute NN A52264 2565 11 of of IN A52264 2565 12 the the DT A52264 2565 13 meridian meridian NN A52264 2565 14 from from IN A52264 2565 15 the the DT A52264 2565 16 Equinoctial Equinoctial NNP A52264 2565 17 , , , A52264 2565 18 and and CC A52264 2565 19 so so RB A52264 2565 20 ● ● NFP A52264 2565 21 orth orth NN A52264 2565 22 in in IN A52264 2565 23 all all PDT A52264 2565 24 the the DT A52264 2565 25 rest rest NN A52264 2565 26 ; ; : A52264 2565 27 but but CC A52264 2565 28 after after IN A52264 2565 29 the the DT A52264 2565 30 Table table NN A52264 2565 31 was be VBD A52264 2565 32 thus thus RB A52264 2565 33 finished finish VBN A52264 2565 34 , , , A52264 2565 35 it -PRON- PRP A52264 2565 36 being be VBG A52264 2565 37 too too RB A52264 2565 38 large large JJ A52264 2565 39 for for IN A52264 2565 40 so so RB A52264 2565 41 small small JJ A52264 2565 42 a a DT A52264 2565 43 Volume volume NN A52264 2565 44 , , , A52264 2565 45 we -PRON- PRP A52264 2565 46 have have VBP A52264 2565 47 contented content VBN A52264 2565 48 our -PRON- PRP$ A52264 2565 49 selves self NNS A52264 2565 50 with with IN A52264 2565 51 every every DT A52264 2565 52 tenth tenth JJ A52264 2565 53 number number NN A52264 2565 54 , , , A52264 2565 55 and and CC A52264 2565 56 have have VBP A52264 2565 57 also also RB A52264 2565 58 cut cut VBN A52264 2565 59 off off RP A52264 2565 60 eight eight CD A52264 2565 61 places place NNS A52264 2565 62 towards towards IN A52264 2565 63 the the DT A52264 2565 64 right right JJ A52264 2565 65 hand hand NN A52264 2565 66 , , , A52264 2565 67 so so IN A52264 2565 68 that that IN A52264 2565 69 in in IN A52264 2565 70 this this DT A52264 2565 71 Table table NN A52264 2565 72 the the DT A52264 2565 73 section section NN A52264 2565 74 of of IN A52264 2565 75 10 10 CD A52264 2565 76 minutes minute NNS A52264 2565 77 is be VBZ A52264 2565 78 100 100 CD A52264 2565 79 , , , A52264 2565 80 of of IN A52264 2565 81 one one CD A52264 2565 82 degree degree NN A52264 2565 83 1000 1000 CD A52264 2565 84 , , , A52264 2565 85 and and CC A52264 2565 86 this this DT A52264 2565 87 is be VBZ A52264 2565 88 sufficient sufficient JJ A52264 2565 89 for for IN A52264 2565 90 the the DT A52264 2565 91 making making NN A52264 2565 92 either either DT A52264 2565 93 of of IN A52264 2565 94 the the DT A52264 2565 95 generall generall NN A52264 2565 96 or or CC A52264 2565 97 any any DT A52264 2565 98 particular particular JJ A52264 2565 99 Chart Chart NNP A52264 2565 100 . . . A52264 2566 1 I -PRON- PRP A52264 2566 2 call call VBP A52264 2566 3 that that IN A52264 2566 4 a a DT A52264 2566 5 general general JJ A52264 2566 6 Chart Chart NNP A52264 2566 7 , , , A52264 2566 8 whose whose WP$ A52264 2566 9 line line NN A52264 2566 10 AE ae NN A52264 2566 11 in in IN A52264 2566 12 the the DT A52264 2566 13 following follow VBG A52264 2566 14 figure figure NN A52264 2566 15 represents represent VBZ A52264 2566 16 the the DT A52264 2566 17 Equinoctial Equinoctial NNP A52264 2566 18 , , , A52264 2566 19 ( ( -LRB- A52264 2566 20 as as RB A52264 2566 21 here here RB A52264 2566 22 it -PRON- PRP A52264 2566 23 doth doth VBP A52264 2566 24 the the DT A52264 2566 25 parallel parallel NN A52264 2566 26 of of IN A52264 2566 27 50 50 CD A52264 2566 28 degrees degree NNS A52264 2566 29 ) ) -RRB- A52264 2566 30 and and CC A52264 2566 31 so so RB A52264 2566 32 containeth containeth JJ A52264 2566 33 all all PDT A52264 2566 34 the the DT A52264 2566 35 parallels parallel NNS A52264 2566 36 successively successively RB A52264 2566 37 from from IN A52264 2566 38 the the DT A52264 2566 39 Equinoctial Equinoctial NNP A52264 2566 40 towards towards IN A52264 2566 41 either either DT A52264 2566 42 Pole Pole NNP A52264 2566 43 , , , A52264 2566 44 but but CC A52264 2566 45 they -PRON- PRP A52264 2566 46 can can MD A52264 2566 47 never never RB A52264 2566 48 be be VB A52264 2566 49 extended extend VBN A52264 2566 50 very very RB A52264 2566 51 near near IN A52264 2566 52 the the DT A52264 2566 53 Pole Pole NNP A52264 2566 54 , , , A52264 2566 55 because because IN A52264 2566 56 the the DT A52264 2566 57 distances distance NNS A52264 2566 58 of of IN A52264 2566 59 the the DT A52264 2566 60 parallels parallel NNS A52264 2566 61 increase increase VBP A52264 2566 62 as as RB A52264 2566 63 much much RB A52264 2566 64 as as IN A52264 2566 65 secants secant NNS A52264 2566 66 do do VBP A52264 2566 67 . . . A52264 2567 1 But but CC A52264 2567 2 notwithstanding notwithstanding IN A52264 2567 3 this this DT A52264 2567 4 , , , A52264 2567 5 it -PRON- PRP A52264 2567 6 may may MD A52264 2567 7 be be VB A52264 2567 8 remed reme VBN A52264 2567 9 general general JJ A52264 2567 10 , , , A52264 2567 11 because because IN A52264 2567 12 a a DT A52264 2567 13 more more RBR A52264 2567 14 general general JJ A52264 2567 15 Chart Chart NNP A52264 2567 16 can can MD A52264 2567 17 not not RB A52264 2567 18 be be VB A52264 2567 19 contrived contrive VBN A52264 2567 20 in in IN A52264 2567 21 plano plano RB A52264 2567 22 , , , A52264 2567 23 except except IN A52264 2567 24 a a DT A52264 2567 25 true true JJ A52264 2567 26 projection projection NN A52264 2567 27 of of IN A52264 2567 28 the the DT A52264 2567 29 Sphere Sphere NNP A52264 2567 30 it -PRON- PRP A52264 2567 31 self self NN A52264 2567 32 . . . A52264 2568 1 And and CC A52264 2568 2 I -PRON- PRP A52264 2568 3 call call VBP A52264 2568 4 that that DT A52264 2568 5 a a DT A52264 2568 6 particular particular JJ A52264 2568 7 Chart Chart NNP A52264 2568 8 which which WDT A52264 2568 9 is be VBZ A52264 2568 10 made make VBN A52264 2568 11 properly properly RB A52264 2568 12 for for IN A52264 2568 13 one one CD A52264 2568 14 particular particular JJ A52264 2568 15 Navigation navigation NN A52264 2568 16 ; ; : A52264 2568 17 as as IN A52264 2568 18 if if IN A52264 2568 19 a a DT A52264 2568 20 man man NN A52264 2568 21 were be VBD A52264 2568 22 to to TO A52264 2568 23 sail sail VB A52264 2568 24 betwen betwen IN A52264 2568 25 the the DT A52264 2568 26 Latitude Latitude NNP A52264 2568 27 of of IN A52264 2568 28 50 50 CD A52264 2568 29 and and CC A52264 2568 30 55 55 CD A52264 2568 31 degrees degree NNS A52264 2568 32 , , , A52264 2568 33 and and CC A52264 2568 34 his -PRON- PRP$ A52264 2568 35 difference difference NN A52264 2568 36 of of IN A52264 2568 37 Longitude longitude NN A52264 2568 38 were be VBD A52264 2568 39 not not RB A52264 2568 40 to to TO A52264 2568 41 exceed exceed VB A52264 2568 42 six six CD A52264 2568 43 degrees degree NNS A52264 2568 44 , , , A52264 2568 45 then then RB A52264 2568 46 a a DT A52264 2568 47 Chart Chart NNP A52264 2568 48 made make VBD A52264 2568 49 , , , A52264 2568 50 as as IN A52264 2568 51 this this DT A52264 2568 52 figure figure NN A52264 2568 53 is be VBZ A52264 2568 54 for for IN A52264 2568 55 such such PDT A52264 2568 56 a a DT A52264 2568 57 Voyage voyage NN A52264 2568 58 , , , A52264 2568 59 may may MD A52264 2568 60 be be VB A52264 2568 61 called call VBN A52264 2568 62 particular particular JJ A52264 2568 63 , , , A52264 2568 64 and and CC A52264 2568 65 is be VBZ A52264 2568 66 thus thus RB A52264 2568 67 to to TO A52264 2568 68 be be VB A52264 2568 69 projected project VBN A52264 2568 70 . . . A52264 2569 1 Probl probl VB A52264 2569 2 . . . A52264 2570 1 3 3 LS A52264 2570 2 . . . A52264 2571 1 The the DT A52264 2571 2 Latitudes Latitudes NNPS A52264 2571 3 of of IN A52264 2571 4 two two CD A52264 2571 5 places place NNS A52264 2571 6 being be VBG A52264 2571 7 known know VBN A52264 2571 8 , , , A52264 2571 9 to to TO A52264 2571 10 finde finde VB A52264 2571 11 the the DT A52264 2571 12 Meridional meridional JJ A52264 2571 13 difference difference NN A52264 2571 14 of of IN A52264 2571 15 the the DT A52264 2571 16 same same JJ A52264 2571 17 Latitudes Latitudes NNP A52264 2571 18 . . . A52264 2572 1 IN in IN A52264 2572 2 this this DT A52264 2572 3 Proposition Proposition NNP A52264 2572 4 there there EX A52264 2572 5 are be VBP A52264 2572 6 three three CD A52264 2572 7 varieties variety NNS A52264 2572 8 : : : A52264 2572 9 First first RB A52264 2572 10 , , , A52264 2572 11 when when WRB A52264 2572 12 one one CD A52264 2572 13 of of IN A52264 2572 14 the the DT A52264 2572 15 places place NNS A52264 2572 16 is be VBZ A52264 2572 17 under under IN A52264 2572 18 the the DT A52264 2572 19 Equinoctial Equinoctial NNP A52264 2572 20 , , , A52264 2572 21 and and CC A52264 2572 22 the the DT A52264 2572 23 other other JJ A52264 2572 24 without without IN A52264 2572 25 ; ; : A52264 2572 26 and and CC A52264 2572 27 in in IN A52264 2572 28 this this DT A52264 2572 29 case case NN A52264 2572 30 the the DT A52264 2572 31 degrees degree NNS A52264 2572 32 and and CC A52264 2572 33 minutes minute NNS A52264 2572 34 in in IN A52264 2572 35 the the DT A52264 2572 36 Table table NN A52264 2572 37 answering answer VBG A52264 2572 38 to to IN A52264 2572 39 the the DT A52264 2572 40 latitude latitude NN A52264 2572 41 of of IN A52264 2572 42 that that DT A52264 2572 43 other other JJ A52264 2572 44 place place NN A52264 2572 45 are be VBP A52264 2572 46 the the DT A52264 2572 47 meridional meridional JJ A52264 2572 48 difference difference NN A52264 2572 49 of of IN A52264 2572 50 those those DT A52264 2572 51 Latitudes latitude NNS A52264 2572 52 . . . A52264 2573 1 So so RB A52264 2573 2 if if IN A52264 2573 3 one one CD A52264 2573 4 place place NN A52264 2573 5 propounded propound VBN A52264 2573 6 were be VBD A52264 2573 7 the the DT A52264 2573 8 entrance entrance NN A52264 2573 9 of of IN A52264 2573 10 the the DT A52264 2573 11 River River NNP A52264 2573 12 of of IN A52264 2573 13 the the DT A52264 2573 14 Amazones Amazones NNPS A52264 2573 15 , , , A52264 2573 16 which which WDT A52264 2573 17 hath hath VBP A52264 2573 18 no no DT A52264 2573 19 latitude latitude NN A52264 2573 20 at at RB A52264 2573 21 all all RB A52264 2573 22 , , , A52264 2573 23 and and CC A52264 2573 24 the the DT A52264 2573 25 other other JJ A52264 2573 26 the the DT A52264 2573 27 Lizard Lizard NNP A52264 2573 28 , , , A52264 2573 29 whose whose WP$ A52264 2573 30 latitude latitude NN A52264 2573 31 is be VBZ A52264 2573 32 50 50 CD A52264 2573 33 degrees degree NNS A52264 2573 34 , , , A52264 2573 35 their -PRON- PRP$ A52264 2573 36 difference difference NN A52264 2573 37 will will MD A52264 2573 38 be be VB A52264 2573 39 found find VBN A52264 2573 40 57.905 57.905 CD A52264 2573 41 . . . A52264 2574 1 2 2 LS A52264 2574 2 . . . A52264 2575 1 When when WRB A52264 2575 2 both both CC A52264 2575 3 the the DT A52264 2575 4 places place NNS A52264 2575 5 have have VBP A52264 2575 6 Northerly Northerly NNP A52264 2575 7 or or CC A52264 2575 8 Southerly Southerly NNP A52264 2575 9 Latitude Latitude NNP A52264 2575 10 , , , A52264 2575 11 in in IN A52264 2575 12 this this DT A52264 2575 13 case case NN A52264 2575 14 if if IN A52264 2575 15 you -PRON- PRP A52264 2575 16 substract substract VBP A52264 2575 17 the the DT A52264 2575 18 degrees degree NNS A52264 2575 19 and and CC A52264 2575 20 minutes minute NNS A52264 2575 21 in in IN A52264 2575 22 the the DT A52264 2575 23 Table table NN A52264 2575 24 answering answer VBG A52264 2575 25 to to IN A52264 2575 26 the the DT A52264 2575 27 lesser less JJR A52264 2575 28 Latitude Latitude NNP A52264 2575 29 , , , A52264 2575 30 out out IN A52264 2575 31 of of IN A52264 2575 32 those those DT A52264 2575 33 in in IN A52264 2575 34 the the DT A52264 2575 35 same same JJ A52264 2575 36 Table table NN A52264 2575 37 answering answer VBG A52264 2575 38 to to IN A52264 2575 39 the the DT A52264 2575 40 greater great JJR A52264 2575 41 Latitude Latitude NNP A52264 2575 42 , , , A52264 2575 43 the the DT A52264 2575 44 remainer remainer NN A52264 2575 45 will will MD A52264 2575 46 be be VB A52264 2575 47 the the DT A52264 2575 48 Meridional meridional JJ A52264 2575 49 difference difference NN A52264 2575 50 required require VBN A52264 2575 51 . . . A52264 2576 1 Example example NN A52264 2576 2 . . . A52264 2577 1 Admit admit VB A52264 2577 2 the the DT A52264 2577 3 Latitude Latitude NNP A52264 2577 4 of of IN A52264 2577 5 S. S. NNP A52264 2577 6 Christophers Christophers NNPS A52264 2577 7 to to TO A52264 2577 8 be be VB A52264 2577 9 15 15 CD A52264 2577 10 deg deg NN A52264 2577 11 . . . A52264 2578 1 50 50 CD A52264 2578 2 parts part NNS A52264 2578 3 or or CC A52264 2578 4 minutes minute NNS A52264 2578 5 , , , A52264 2578 6 and and CC A52264 2578 7 the the DT A52264 2578 8 Latitude Latitude NNP A52264 2578 9 of of IN A52264 2578 10 the the DT A52264 2578 11 Lizard Lizard NNP A52264 2578 12 to to TO A52264 2578 13 be be VB A52264 2578 14 50 50 CD A52264 2578 15 degrees degree NNS A52264 2578 16 . . . A52264 2579 1 In in IN A52264 2579 2 the the DT A52264 2579 3 Table table NN A52264 2579 4 of of IN A52264 2579 5 Latitudes Latitudes NNP A52264 2579 6 , , , A52264 2579 7 the the DT A52264 2579 8 number number NN A52264 2579 9 answering answer VBG A52264 2579 10 to to IN A52264 2579 11 15 15 CD A52264 2579 12 deg deg NN A52264 2579 13 . . . A52264 2580 1 50 50 CD A52264 2580 2 min min NN A52264 2580 3 . . . A52264 2581 1 is be VBZ A52264 2581 2 15.692 15.692 CD A52264 2581 3 50 50 CD A52264 2581 4 deg deg NN A52264 2581 5 . . . A52264 2582 1 is be VBZ A52264 2582 2 57.905 57.905 CD A52264 2582 3 Their -PRON- PRP$ A52264 2582 4 difference difference NN A52264 2582 5 42.213 42.213 CD A52264 2582 6 3 3 CD A52264 2582 7 . . . A52264 2583 1 When when WRB A52264 2583 2 one one CD A52264 2583 3 of of IN A52264 2583 4 the the DT A52264 2583 5 places place NNS A52264 2583 6 have have VBP A52264 2583 7 Southerly Southerly NNP A52264 2583 8 and and CC A52264 2583 9 the the DT A52264 2583 10 other other JJ A52264 2583 11 Northerly Northerly NNP A52264 2583 12 Latitude Latitude NNP A52264 2583 13 ; ; : A52264 2583 14 in in IN A52264 2583 15 this this DT A52264 2583 16 case case NN A52264 2583 17 , , , A52264 2583 18 the the DT A52264 2583 19 sum sum NN A52264 2583 20 of of IN A52264 2583 21 the the DT A52264 2583 22 numbers number NNS A52264 2583 23 answering answer VBG A52264 2583 24 to to IN A52264 2583 25 their -PRON- PRP$ A52264 2583 26 Latitudes latitude NNS A52264 2583 27 in in IN A52264 2583 28 the the DT A52264 2583 29 Table table NN A52264 2583 30 , , , A52264 2583 31 is be VBZ A52264 2583 32 the the DT A52264 2583 33 meridional meridional JJ A52264 2583 34 difference difference NN A52264 2583 35 you -PRON- PRP A52264 2583 36 look look VBP A52264 2583 37 for for IN A52264 2583 38 . . . A52264 2584 1 So so CC A52264 2584 2 Caput Caput NNP A52264 2584 3 bonae bonae NN A52264 2584 4 spei spei NNP A52264 2584 5 , , , A52264 2584 6 whose whose WP$ A52264 2584 7 latitude latitude NN A52264 2584 8 is be VBZ A52264 2584 9 about about RB A52264 2584 10 36 36 CD A52264 2584 11 deg deg NN A52264 2584 12 . . . A52264 2585 1 50 50 CD A52264 2585 2 parts part NNS A52264 2585 3 , , , A52264 2585 4 and and CC A52264 2585 5 Japan Japan NNP A52264 2585 6 in in IN A52264 2585 7 the the DT A52264 2585 8 East East NNP A52264 2585 9 Indies Indies NNPS A52264 2585 10 , , , A52264 2585 11 whose whose WP$ A52264 2585 12 latitude latitude NN A52264 2585 13 is be VBZ A52264 2585 14 about about RB A52264 2585 15 30 30 CD A52264 2585 16 degrees degree NNS A52264 2585 17 being be VBG A52264 2585 18 propounded propound VBN A52264 2585 19 , , , A52264 2585 20 their -PRON- PRP$ A52264 2585 21 meridional meridional JJ A52264 2585 22 difference difference NN A52264 2585 23 will will MD A52264 2585 24 be be VB A52264 2585 25 found find VBN A52264 2585 26 to to TO A52264 2585 27 be be VB A52264 2585 28 70.724 70.724 CD A52264 2585 29 . . . A52264 2586 1 For for IN A52264 2586 2 the the DT A52264 2586 3 meridional meridional JJ A52264 2586 4 parts part NNS A52264 2586 5 of of IN A52264 2586 6 36.50 36.50 CD A52264 2586 7 . . . A52264 2587 1 39.252 39.252 CD A52264 2587 2 And and CC A52264 2587 3 the the DT A52264 2587 4 meridional meridional JJ A52264 2587 5 parts part NNS A52264 2587 6 of of IN A52264 2587 7 30 30 CD A52264 2587 8 d. d. NN A52264 2587 9 31.472 31.472 CD A52264 2587 10 Their -PRON- PRP$ A52264 2587 11 sum sum NN A52264 2587 12 is be VBZ A52264 2587 13 the the DT A52264 2587 14 difference difference NN A52264 2587 15 required require VBN A52264 2587 16 . . . A52264 2588 1 70.724 70.724 CD A52264 2588 2 Probl Probl NNP A52264 2588 3 . . . A52264 2589 1 4 4 LS A52264 2589 2 . . . A52264 2590 1 Two two CD A52264 2590 2 places place NNS A52264 2590 3 differing differ VBG A52264 2590 4 onely onely RB A52264 2590 5 in in IN A52264 2590 6 Latitude Latitude NNP A52264 2590 7 , , , A52264 2590 8 to to TO A52264 2590 9 finde finde VB A52264 2590 10 their -PRON- PRP$ A52264 2590 11 distance distance NN A52264 2590 12 . . . A52264 2591 1 IN in IN A52264 2591 2 this this DT A52264 2591 3 proposition proposition NN A52264 2591 4 there there EX A52264 2591 5 are be VBP A52264 2591 6 two two CD A52264 2591 7 varieties variety NNS A52264 2591 8 . . . A52264 2592 1 1 1 LS A52264 2592 2 . . . A52264 2593 1 If if IN A52264 2593 2 the the DT A52264 2593 3 two two CD A52264 2593 4 places place NNS A52264 2593 5 propounded propound VBN A52264 2593 6 lie lie NN A52264 2593 7 under under IN A52264 2593 8 the the DT A52264 2593 9 same same JJ A52264 2593 10 meridian meridian NN A52264 2593 11 , , , A52264 2593 12 and and CC A52264 2593 13 both both DT A52264 2593 14 of of IN A52264 2593 15 them -PRON- PRP A52264 2593 16 on on IN A52264 2593 17 one one CD A52264 2593 18 side side NN A52264 2593 19 of of IN A52264 2593 20 the the DT A52264 2593 21 Equinoctial Equinoctial NNP A52264 2593 22 , , , A52264 2593 23 you -PRON- PRP A52264 2593 24 must must MD A52264 2593 25 substract substract VB A52264 2593 26 the the DT A52264 2593 27 lesser less JJR A52264 2593 28 latitude latitude NN A52264 2593 29 from from IN A52264 2593 30 the the DT A52264 2593 31 greater great JJR A52264 2593 32 , , , A52264 2593 33 and and CC A52264 2593 34 the the DT A52264 2593 35 remainer remainer NN A52264 2593 36 converted convert VBD A52264 2593 37 into into IN A52264 2593 38 leagues league NNS A52264 2593 39 , , , A52264 2593 40 by by IN A52264 2593 41 allowing allow VBG A52264 2593 42 20 20 CD A52264 2593 43 leagues league NNS A52264 2593 44 to to IN A52264 2593 45 a a DT A52264 2593 46 degree degree NN A52264 2593 47 , , , A52264 2593 48 will will MD A52264 2593 49 be be VB A52264 2593 50 the the DT A52264 2593 51 distance distance NN A52264 2593 52 required require VBN A52264 2593 53 . . . A52264 2594 1 2 2 LS A52264 2594 2 . . . A52264 2595 1 If if IN A52264 2595 2 one one CD A52264 2595 3 place place NN A52264 2595 4 lie lie VBP A52264 2595 5 on on IN A52264 2595 6 the the DT A52264 2595 7 North North NNP A52264 2595 8 , , , A52264 2595 9 and and CC A52264 2595 10 the the DT A52264 2595 11 other other JJ A52264 2595 12 on on IN A52264 2595 13 the the DT A52264 2595 14 South South NNP A52264 2595 15 side side NN A52264 2595 16 of of IN A52264 2595 17 the the DT A52264 2595 18 Equinoctial Equinoctial NNP A52264 2595 19 ( ( -LRB- A52264 2595 20 yet yet RB A52264 2595 21 both both DT A52264 2595 22 under under IN A52264 2595 23 the the DT A52264 2595 24 same same JJ A52264 2595 25 meridian meridian NN A52264 2595 26 ) ) -RRB- A52264 2595 27 you -PRON- PRP A52264 2595 28 must must MD A52264 2595 29 then then RB A52264 2595 30 adde adde VB A52264 2595 31 both both CC A52264 2595 32 the the DT A52264 2595 33 latitudes latitude NNS A52264 2595 34 together together RB A52264 2595 35 , , , A52264 2595 36 and and CC A52264 2595 37 the the DT A52264 2595 38 sum sum NN A52264 2595 39 converted convert VBD A52264 2595 40 into into IN A52264 2595 41 leagues league NNS A52264 2595 42 , , , A52264 2595 43 will will MD A52264 2595 44 give give VB A52264 2595 45 their -PRON- PRP$ A52264 2595 46 distance distance NN A52264 2595 47 . . . A52264 2596 1 Probl probl VB A52264 2596 2 . . . A52264 2597 1 5 5 CD A52264 2597 2 . . . A52264 2598 1 Two two CD A52264 2598 2 places place NNS A52264 2598 3 differing differ VBG A52264 2598 4 onely onely RB A52264 2598 5 in in IN A52264 2598 6 longitude longitude NN A52264 2598 7 being be VBG A52264 2598 8 given give VBN A52264 2598 9 , , , A52264 2598 10 to to TO A52264 2598 11 finde finde VB A52264 2598 12 their -PRON- PRP$ A52264 2598 13 distance distance NN A52264 2598 14 . . . A52264 2599 1 IN in IN A52264 2599 2 this this DT A52264 2599 3 proposition proposition NN A52264 2599 4 there there EX A52264 2599 5 are be VBP A52264 2599 6 also also RB A52264 2599 7 two two CD A52264 2599 8 varieties variety NNS A52264 2599 9 . . . A52264 2600 1 1 1 LS A52264 2600 2 . . . A52264 2601 1 If if IN A52264 2601 2 the the DT A52264 2601 3 two two CD A52264 2601 4 places place NNS A52264 2601 5 propounded propound VBN A52264 2601 6 lie lie NN A52264 2601 7 under under IN A52264 2601 8 the the DT A52264 2601 9 Equinoctial Equinoctial NNP A52264 2601 10 , , , A52264 2601 11 then then RB A52264 2601 12 the the DT A52264 2601 13 difference difference NN A52264 2601 14 of of IN A52264 2601 15 their -PRON- PRP$ A52264 2601 16 Longitudes Longitudes NNP A52264 2601 17 reduced reduce VBN A52264 2601 18 into into IN A52264 2601 19 leagues league NNS A52264 2601 20 ( ( -LRB- A52264 2601 21 by by IN A52264 2601 22 allowing allow VBG A52264 2601 23 20 20 CD A52264 2601 24 leagues league NNS A52264 2601 25 to to IN A52264 2601 26 a a DT A52264 2601 27 degree degree NN A52264 2601 28 ) ) -RRB- A52264 2601 29 giveth giveth VBZ A52264 2601 30 the the DT A52264 2601 31 distance distance NN A52264 2601 32 of of IN A52264 2601 33 the the DT A52264 2601 34 places place NNS A52264 2601 35 required require VBN A52264 2601 36 . . . A52264 2602 1 2 2 LS A52264 2602 2 . . . A52264 2603 1 But but CC A52264 2603 2 if if IN A52264 2603 3 the the DT A52264 2603 4 two two CD A52264 2603 5 places place NNS A52264 2603 6 propounded propound VBN A52264 2603 7 differ differ VBP A52264 2603 8 onely onely RB A52264 2603 9 in in IN A52264 2603 10 longitude longitude NN A52264 2603 11 , , , A52264 2603 12 and and CC A52264 2603 13 lie lie VBP A52264 2603 14 not not RB A52264 2603 15 under under IN A52264 2603 16 the the DT A52264 2603 17 Equinoctial Equinoctial NNP A52264 2603 18 , , , A52264 2603 19 but but CC A52264 2603 20 under under IN A52264 2603 21 some some DT A52264 2603 22 other other JJ A52264 2603 23 intermediate intermediate JJ A52264 2603 24 parallel parallel NN A52264 2603 25 between between IN A52264 2603 26 the the DT A52264 2603 27 Eqninoctial Eqninoctial NNP A52264 2603 28 and and CC A52264 2603 29 one one CD A52264 2603 30 of of IN A52264 2603 31 the the DT A52264 2603 32 poles pole NNS A52264 2603 33 : : : A52264 2603 34 then then RB A52264 2603 35 to to TO A52264 2603 36 finde finde VB A52264 2603 37 their -PRON- PRP$ A52264 2603 38 distance distance NN A52264 2603 39 , , , A52264 2603 40 the the DT A52264 2603 41 proportion proportion NN A52264 2603 42 is be VBZ A52264 2603 43 , , , A52264 2603 44 As as IN A52264 2603 45 the the DT A52264 2603 46 Radius Radius NNP A52264 2603 47 , , , A52264 2603 48 Is be VBZ A52264 2603 49 to to IN A52264 2603 50 the the DT A52264 2603 51 co co NN A52264 2603 52 - - NN A52264 2603 53 sine sine NN A52264 2603 54 of of IN A52264 2603 55 the the DT A52264 2603 56 common common JJ A52264 2603 57 latitude latitude NN A52264 2603 58 ; ; : A52264 2603 59 So so CC A52264 2603 60 is be VBZ A52264 2603 61 the the DT A52264 2603 62 sine sine NN A52264 2603 63 of of IN A52264 2603 64 half half PDT A52264 2603 65 the the DT A52264 2603 66 difference difference NN A52264 2603 67 of of IN A52264 2603 68 longitude longitude NN A52264 2603 69 , , , A52264 2603 70 To to IN A52264 2603 71 the the DT A52264 2603 72 sine sine NN A52264 2603 73 of of IN A52264 2603 74 half half PDT A52264 2603 75 their -PRON- PRP$ A52264 2603 76 distance distance NN A52264 2603 77 . . . A52264 2604 1 Probl probl VB A52264 2604 2 . . . A52264 2605 1 6 6 CD A52264 2605 2 . . . A52264 2606 1 Two two CD A52264 2606 2 places place NNS A52264 2606 3 being be VBG A52264 2606 4 given give VBN A52264 2606 5 , , , A52264 2606 6 which which WDT A52264 2606 7 differ differ VBP A52264 2606 8 both both DT A52264 2606 9 in in IN A52264 2606 10 Longitude Longitude NNP A52264 2606 11 and and CC A52264 2606 12 Latitude Latitude NNP A52264 2606 13 , , , A52264 2606 14 to to TO A52264 2606 15 finde finde VB A52264 2606 16 their -PRON- PRP$ A52264 2606 17 distance distance NN A52264 2606 18 . . . A52264 2607 1 IN in IN A52264 2607 2 this this DT A52264 2607 3 Proposition Proposition NNP A52264 2607 4 there there EX A52264 2607 5 are be VBP A52264 2607 6 three three CD A52264 2607 7 varieties variety NNS A52264 2607 8 . . . A52264 2608 1 1 1 LS A52264 2608 2 . . . A52264 2609 1 If if IN A52264 2609 2 one one CD A52264 2609 3 place place NN A52264 2609 4 be be VBP A52264 2609 5 under under IN A52264 2609 6 the the DT A52264 2609 7 Equinoctial equinoctial JJ A52264 2609 8 circle circle NN A52264 2609 9 , , , A52264 2609 10 and and CC A52264 2609 11 the the DT A52264 2609 12 other other JJ A52264 2609 13 towards towards IN A52264 2609 14 either either DT A52264 2609 15 pole pole NN A52264 2609 16 , , , A52264 2609 17 then then RB A52264 2609 18 the the DT A52264 2609 19 proportion proportion NN A52264 2609 20 is be VBZ A52264 2609 21 , , , A52264 2609 22 As as IN A52264 2609 23 Radius Radius NNP A52264 2609 24 , , , A52264 2609 25 To to IN A52264 2609 26 the the DT A52264 2609 27 cosine cosine NN A52264 2609 28 of of IN A52264 2609 29 the the DT A52264 2609 30 difference difference NN A52264 2609 31 of of IN A52264 2609 32 longitude longitude NN A52264 2609 33 ; ; : A52264 2609 34 So so RB A52264 2609 35 is be VBZ A52264 2609 36 the the DT A52264 2609 37 co co JJ A52264 2609 38 - - NN A52264 2609 39 sine sine NN A52264 2609 40 of of IN A52264 2609 41 the the DT A52264 2609 42 latitude latitude NN A52264 2609 43 given give VBN A52264 2609 44 , , , A52264 2609 45 To to IN A52264 2609 46 the the DT A52264 2609 47 co co NN A52264 2609 48 - - NN A52264 2609 49 sine sine NN A52264 2609 50 of of IN A52264 2609 51 the the DT A52264 2609 52 distance distance NN A52264 2609 53 required require VBN A52264 2609 54 . . . A52264 2610 1 2 2 LS A52264 2610 2 . . . A52264 2611 1 If if IN A52264 2611 2 both both DT A52264 2611 3 the the DT A52264 2611 4 places place NNS A52264 2611 5 propounded propound VBN A52264 2611 6 be be VB A52264 2611 7 without without IN A52264 2611 8 the the DT A52264 2611 9 Equinoctial Equinoctial NNP A52264 2611 10 , , , A52264 2611 11 and and CC A52264 2611 12 on on IN A52264 2611 13 the the DT A52264 2611 14 Northern northern JJ A52264 2611 15 or or CC A52264 2611 16 Southern southern JJ A52264 2611 17 side side NN A52264 2611 18 thereof thereof RB A52264 2611 19 , , , A52264 2611 20 then then RB A52264 2611 21 the the DT A52264 2611 22 proportion proportion NN A52264 2611 23 must must MD A52264 2611 24 be be VB A52264 2611 25 wrought work VBN A52264 2611 26 at at IN A52264 2611 27 two two CD A52264 2611 28 operations operation NNS A52264 2611 29 . . . A52264 2612 1 1 1 LS A52264 2612 2 . . . A52264 2613 1 Say say VB A52264 2613 2 ; ; : A52264 2613 3 As as IN A52264 2613 4 the the DT A52264 2613 5 Radius Radius NNP A52264 2613 6 , , , A52264 2613 7 To to IN A52264 2613 8 the the DT A52264 2613 9 cosine cosine NN A52264 2613 10 of of IN A52264 2613 11 the the DT A52264 2613 12 difference difference NN A52264 2613 13 of of IN A52264 2613 14 Longitude Longitude NNP A52264 2613 15 So so RB A52264 2613 16 the the DT A52264 2613 17 co co NN A52264 2613 18 - - NN A52264 2613 19 tangent tangent NN A52264 2613 20 of of IN A52264 2613 21 the the DT A52264 2613 22 lesser less JJR A52264 2613 23 latitude latitude NN A52264 2613 24 , , , A52264 2613 25 To to IN A52264 2613 26 the the DT A52264 2613 27 tangent tangent NN A52264 2613 28 of of IN A52264 2613 29 the the DT A52264 2613 30 fourth fourth JJ A52264 2613 31 ark ark NNP A52264 2613 32 . . . A52264 2614 1 Which which WDT A52264 2614 2 fourth fourth JJ A52264 2614 3 ark ark NN A52264 2614 4 substract substract VBP A52264 2614 5 out out IN A52264 2614 6 of of IN A52264 2614 7 the the DT A52264 2614 8 complement complement NN A52264 2614 9 of of IN A52264 2614 10 the the DT A52264 2614 11 greater great JJR A52264 2614 12 latitude latitude NN A52264 2614 13 , , , A52264 2614 14 and and CC A52264 2614 15 retaining retain VBG A52264 2614 16 the the DT A52264 2614 17 remaining remain VBG A52264 2614 18 ark ark NNP A52264 2614 19 say say VBP A52264 2614 20 , , , A52264 2614 21 As as IN A52264 2614 22 the the DT A52264 2614 23 co co NN A52264 2614 24 - - NN A52264 2614 25 sine sine NN A52264 2614 26 of of IN A52264 2614 27 the the DT A52264 2614 28 ark ark NNP A52264 2614 29 found find VBD A52264 2614 30 , , , A52264 2614 31 Is be VBZ A52264 2614 32 to to IN A52264 2614 33 the the DT A52264 2614 34 co co NN A52264 2614 35 - - NN A52264 2614 36 sine sine NN A52264 2614 37 of of IN A52264 2614 38 the the DT A52264 2614 39 ark ark NN A52264 2614 40 remaining remain VBG A52264 2614 41 ; ; : A52264 2614 42 So so RB A52264 2614 43 is be VBZ A52264 2614 44 the the DT A52264 2614 45 sine sine NN A52264 2614 46 of of IN A52264 2614 47 the the DT A52264 2614 48 lesser less JJR A52264 2614 49 latitude latitude NN A52264 2614 50 , , , A52264 2614 51 To to IN A52264 2614 52 the the DT A52264 2614 53 co co NN A52264 2614 54 - - NN A52264 2614 55 sine sine NN A52264 2614 56 of of IN A52264 2614 57 the the DT A52264 2614 58 distance distance NN A52264 2614 59 required require VBN A52264 2614 60 . . . A52264 2615 1 3 3 LS A52264 2615 2 . . . A52264 2616 1 If if IN A52264 2616 2 the the DT A52264 2616 3 two two CD A52264 2616 4 places place NNS A52264 2616 5 propounded propound VBD A52264 2616 6 differ differ VBP A52264 2616 7 both both DT A52264 2616 8 in in IN A52264 2616 9 Longitude Longitude NNP A52264 2616 10 and and CC A52264 2616 11 Latitude Latitude NNP A52264 2616 12 , , , A52264 2616 13 and and CC A52264 2616 14 be be VB A52264 2616 15 both both DT A52264 2616 16 of of IN A52264 2616 17 them -PRON- PRP A52264 2616 18 without without IN A52264 2616 19 the the DT A52264 2616 20 Equinoctial Equinoctial NNP A52264 2616 21 , , , A52264 2616 22 and and CC A52264 2616 23 one one CD A52264 2616 24 of of IN A52264 2616 25 them -PRON- PRP A52264 2616 26 towards towards IN A52264 2616 27 the the DT A52264 2616 28 North North NNP A52264 2616 29 pole pole NN A52264 2616 30 , , , A52264 2616 31 and and CC A52264 2616 32 the the DT A52264 2616 33 other other JJ A52264 2616 34 towards towards IN A52264 2616 35 the the DT A52264 2616 36 South South NNP A52264 2616 37 pole pole NN A52264 2616 38 , , , A52264 2616 39 the the DT A52264 2616 40 proportion proportion NN A52264 2616 41 is be VBZ A52264 2616 42 , , , A52264 2616 43 As as IN A52264 2616 44 the the DT A52264 2616 45 Radius Radius NNP A52264 2616 46 , , , A52264 2616 47 Is be VBZ A52264 2616 48 to to IN A52264 2616 49 the the DT A52264 2616 50 co co NN A52264 2616 51 - - NN A52264 2616 52 sine sine NN A52264 2616 53 of of IN A52264 2616 54 the the DT A52264 2616 55 difference difference NN A52264 2616 56 of of IN A52264 2616 57 Longit Longit NNP A52264 2616 58 . . . A52264 2617 1 So so RB A52264 2617 2 is be VBZ A52264 2617 3 the the DT A52264 2617 4 co co JJ A52264 2617 5 - - NN A52264 2617 6 tangent tangent NN A52264 2617 7 of of IN A52264 2617 8 one one CD A52264 2617 9 of of IN A52264 2617 10 the the DT A52264 2617 11 Latitudes Latitudes NNPS A52264 2617 12 To to IN A52264 2617 13 the the DT A52264 2617 14 tangent tangent NN A52264 2617 15 of of IN A52264 2617 16 another another DT A52264 2617 17 ark ark NN A52264 2617 18 . . . A52264 2618 1 Which which WDT A52264 2618 2 being be VBG A52264 2618 3 substracted substracte VBN A52264 2618 4 out out IN A52264 2618 5 of of IN A52264 2618 6 the the DT A52264 2618 7 other other JJ A52264 2618 8 Latitude Latitude NNP A52264 2618 9 , , , A52264 2618 10 and and CC A52264 2618 11 90 90 CD A52264 2618 12 degrees degree NNS A52264 2618 13 added add VBN A52264 2618 14 thereto thereto NN A52264 2618 15 , , , A52264 2618 16 say say VBP A52264 2618 17 : : : A52264 2618 18 As as IN A52264 2618 19 the the DT A52264 2618 20 co co NN A52264 2618 21 - - NN A52264 2618 22 sine sine NN A52264 2618 23 of of IN A52264 2618 24 the the DT A52264 2618 25 ark ark NNP A52264 2618 26 found find VBD A52264 2618 27 , , , A52264 2618 28 Is be VBZ A52264 2618 29 to to IN A52264 2618 30 the the DT A52264 2618 31 co co NN A52264 2618 32 - - NN A52264 2618 33 sine sine NN A52264 2618 34 of of IN A52264 2618 35 the the DT A52264 2618 36 ark ark NN A52264 2618 37 remaining remain VBG A52264 2618 38 ; ; : A52264 2618 39 So so RB A52264 2618 40 is be VBZ A52264 2618 41 the the DT A52264 2618 42 co co JJ A52264 2618 43 - - NN A52264 2618 44 sine sine NN A52264 2618 45 of of IN A52264 2618 46 the the DT A52264 2618 47 Latitude Latitude NNP A52264 2618 48 first first RB A52264 2618 49 taken take VBN A52264 2618 50 , , , A52264 2618 51 To to IN A52264 2618 52 the the DT A52264 2618 53 co co NN A52264 2618 54 - - NN A52264 2618 55 sine sine NN A52264 2618 56 of of IN A52264 2618 57 the the DT A52264 2618 58 distance distance NN A52264 2618 59 . . . A52264 2619 1 Probl probl VB A52264 2619 2 . . . A52264 2620 1 7 7 LS A52264 2620 2 . . . A52264 2621 1 The the DT A52264 2621 2 Rumbe Rumbe NNP A52264 2621 3 and and CC A52264 2621 4 distance distance NN A52264 2621 5 of of IN A52264 2621 6 two two CD A52264 2621 7 places place NNS A52264 2621 8 given give VBN A52264 2621 9 , , , A52264 2621 10 to to TO A52264 2621 11 finde finde VB A52264 2621 12 the the DT A52264 2621 13 difference difference NN A52264 2621 14 of of IN A52264 2621 15 Latitude Latitude NNP A52264 2621 16 . . . A52264 2622 1 THe the DT A52264 2622 2 proportion proportion NN A52264 2622 3 is be VBZ A52264 2622 4 : : : A52264 2622 5 As as IN A52264 2622 6 the the DT A52264 2622 7 Radius Radius NNP A52264 2622 8 , , , A52264 2622 9 Is be VBZ A52264 2622 10 to to IN A52264 2622 11 the the DT A52264 2622 12 co co NN A52264 2622 13 - - NN A52264 2622 14 sine sine NN A52264 2622 15 of of IN A52264 2622 16 the the DT A52264 2622 17 rumb rumb NN A52264 2622 18 from from IN A52264 2622 19 the the DT A52264 2622 20 meridian meridian NNP A52264 2622 21 : : : A52264 2622 22 So so RB A52264 2622 23 is be VBZ A52264 2622 24 the the DT A52264 2622 25 distance distance NN A52264 2622 26 , , , A52264 2622 27 To to IN A52264 2622 28 the the DT A52264 2622 29 difference difference NN A52264 2622 30 of of IN A52264 2622 31 Latitude Latitude NNP A52264 2622 32 . . . A52264 2623 1 Example example NN A52264 2623 2 . . . A52264 2624 1 If if IN A52264 2624 2 a a DT A52264 2624 3 ship ship NN A52264 2624 4 sail sail NN A52264 2624 5 West west JJ A52264 2624 6 - - HYPH A52264 2624 7 north north NN A52264 2624 8 - - HYPH A52264 2624 9 west west NN A52264 2624 10 , , , A52264 2624 11 ( ( -LRB- A52264 2624 12 that that DT A52264 2624 13 is is RB A52264 2624 14 , , , A52264 2624 15 upon upon IN A52264 2624 16 the the DT A52264 2624 17 sixt sixt NNP A52264 2624 18 rumb rumb RB A52264 2624 19 from from IN A52264 2624 20 the the DT A52264 2624 21 meridian meridian NNP A52264 2624 22 ) ) -RRB- A52264 2624 23 the the DT A52264 2624 24 distance distance NN A52264 2624 25 of of IN A52264 2624 26 90 90 CD A52264 2624 27 leagues league NNS A52264 2624 28 ; ; : A52264 2624 29 what what WP A52264 2624 30 shall shall MD A52264 2624 31 be be VB A52264 2624 32 the the DT A52264 2624 33 difference difference NN A52264 2624 34 of of IN A52264 2624 35 Latitude Latitude NNP A52264 2624 36 ? ? . A52264 2625 1 First first RB A52264 2625 2 , , , A52264 2625 3 I -PRON- PRP A52264 2625 4 seek seek VBP A52264 2625 5 in in IN A52264 2625 6 the the DT A52264 2625 7 Table table NN A52264 2625 8 of of IN A52264 2625 9 Angles angle NNS A52264 2625 10 which which WDT A52264 2625 11 every every DT A52264 2625 12 Rumb Rumb NNP A52264 2625 13 maketh maketh NN A52264 2625 14 with with IN A52264 2625 15 the the DT A52264 2625 16 Meridian Meridian NNP A52264 2625 17 , , , A52264 2625 18 for for IN A52264 2625 19 the the DT A52264 2625 20 quantity quantity NN A52264 2625 21 of of IN A52264 2625 22 the the DT A52264 2625 23 angle angle NN A52264 2625 24 of of IN A52264 2625 25 the the DT A52264 2625 26 sixt sixt NNP A52264 2625 27 rumb rumb NNP A52264 2625 28 , , , A52264 2625 29 which which WDT A52264 2625 30 is be VBZ A52264 2625 31 67 67 CD A52264 2625 32 degr degr NN A52264 2625 33 . . . A52264 2626 1 50 50 CD A52264 2626 2 parts part NNS A52264 2626 3 , , , A52264 2626 4 the the DT A52264 2626 5 complement complement NN A52264 2626 6 whereof whereof NNP A52264 2626 7 is be VBZ A52264 2626 8 22 22 CD A52264 2626 9 degr degr NN A52264 2626 10 . . . A52264 2627 1 50 50 CD A52264 2627 2 parts part NNS A52264 2627 3 : : : A52264 2627 4 therefore therefore RB A52264 2627 5 , , , A52264 2627 6 As as IN A52264 2627 7 the the DT A52264 2627 8 Radius Radius NNP A52264 2627 9 , , , A52264 2627 10 10.000000 10.000000 CD A52264 2627 11 Is be VBZ A52264 2627 12 to to IN A52264 2627 13 the the DT A52264 2627 14 sine sine NN A52264 2627 15 of of IN A52264 2627 16 22.50 22.50 CD A52264 2627 17 . . . A52264 2628 1 9.582839 9.582839 CD A52264 2628 2 So so RB A52264 2628 3 is be VBZ A52264 2628 4 the the DT A52264 2628 5 distance distance NN A52264 2628 6 in in IN A52264 2628 7 leagues league NNS A52264 2628 8 90 90 CD A52264 2628 9 , , , A52264 2628 10 1.954242 1.954242 CD A52264 2628 11         _SP A52264 2628 12 To to IN A52264 2628 13 the the DT A52264 2628 14 difference difference NN A52264 2628 15 of of IN A52264 2628 16 Latitude Latitude NNP A52264 2628 17 34 34 CD A52264 2628 18 , , , A52264 2628 19 and and CC A52264 2628 20 better well JJR A52264 2628 21 1.537081 1.537081 CD A52264 2628 22 And and CC A52264 2628 23 by by IN A52264 2628 24 looking look VBG A52264 2628 25 the the DT A52264 2628 26 next next JJ A52264 2628 27 neerest neer JJS A52264 2628 28 Logarithm Logarithm NNP A52264 2628 29 , , , A52264 2628 30 the the DT A52264 2628 31 difference difference NN A52264 2628 32 of of IN A52264 2628 33 latitude latitude NN A52264 2628 34 will will MD A52264 2628 35 be be VB A52264 2628 36 34 34 CD A52264 2628 37 leagues league NNS A52264 2628 38 , , , A52264 2628 39 and and CC A52264 2628 40 44 44 CD A52264 2628 41 hundred hundred CD A52264 2628 42 parts part NNS A52264 2628 43 of of IN A52264 2628 44 a a DT A52264 2628 45 league league NN A52264 2628 46 . . . A52264 2629 1 And and CC A52264 2629 2 because because IN A52264 2629 3 5 5 CD A52264 2629 4 centesmes centesme NNS A52264 2629 5 of of IN A52264 2629 6 a a DT A52264 2629 7 degree degree NN A52264 2629 8 answereth answereth VBN A52264 2629 9 to to IN A52264 2629 10 one one CD A52264 2629 11 league league NN A52264 2629 12 , , , A52264 2629 13 therefore therefore RB A52264 2629 14 if if IN A52264 2629 15 you -PRON- PRP A52264 2629 16 multiply multiply VBP A52264 2629 17 3444 3444 CD A52264 2629 18 by by IN A52264 2629 19 5 5 CD A52264 2629 20 , , , A52264 2629 21 the the DT A52264 2629 22 product product NN A52264 2629 23 will will MD A52264 2629 24 be be VB A52264 2629 25 17220 17220 CD A52264 2629 26 , , , A52264 2629 27 from from IN A52264 2629 28 which which WDT A52264 2629 29 cutting cut VBG A52264 2629 30 off off RP A52264 2629 31 the the DT A52264 2629 32 four four CD A52264 2629 33 last last JJ A52264 2629 34 figures figure NNS A52264 2629 35 , , , A52264 2629 36 the the DT A52264 2629 37 difference difference NN A52264 2629 38 of of IN A52264 2629 39 latitude latitude NN A52264 2629 40 will will MD A52264 2629 41 be be VB A52264 2629 42 one one CD A52264 2629 43 degree degree NN A52264 2629 44 72 72 CD A52264 2629 45 centesmes centesme NNS A52264 2629 46 of of IN A52264 2629 47 a a DT A52264 2629 48 degree degree NN A52264 2629 49 , , , A52264 2629 50 and and CC A52264 2629 51 somewhat somewhat RB A52264 2629 52 more more JJR A52264 2629 53 . . . A52264 2630 1 Probl probl VB A52264 2630 2 . . . A52264 2631 1 8 8 LS A52264 2631 2 . . . A52264 2632 1 The the DT A52264 2632 2 Rumb Rumb NNP A52264 2632 3 and and CC A52264 2632 4 Latitude Latitude NNP A52264 2632 5 of of IN A52264 2632 6 two two CD A52264 2632 7 places place NNS A52264 2632 8 being be VBG A52264 2632 9 given give VBN A52264 2632 10 , , , A52264 2632 11 to to TO A52264 2632 12 finde finde VB A52264 2632 13 the the DT A52264 2632 14 difference difference NN A52264 2632 15 of of IN A52264 2632 16 Longitude Longitude NNP A52264 2632 17 . . . A52264 2633 1 THe the DT A52264 2633 2 proportion proportion NN A52264 2633 3 is be VBZ A52264 2633 4 : : : A52264 2633 5 As as IN A52264 2633 6 the the DT A52264 2633 7 Radius Radius NNP A52264 2633 8 , , , A52264 2633 9 Is be VBZ A52264 2633 10 to to IN A52264 2633 11 the the DT A52264 2633 12 tangent tangent NN A52264 2633 13 of of IN A52264 2633 14 the the DT A52264 2633 15 rumb rumb NN A52264 2633 16 from from IN A52264 2633 17 the the DT A52264 2633 18 meridian meridian NNP A52264 2633 19 : : : A52264 2633 20 So so RB A52264 2633 21 is be VBZ A52264 2633 22 the the DT A52264 2633 23 proper proper JJ A52264 2633 24 difference difference NN A52264 2633 25 of of IN A52264 2633 26 latitude latitude NN A52264 2633 27 , , , A52264 2633 28 To to IN A52264 2633 29 the the DT A52264 2633 30 difference difference NN A52264 2633 31 of of IN A52264 2633 32 Longitude Longitude NNP A52264 2633 33 . . . A52264 2634 1 Example example NN A52264 2634 2 . . . A52264 2635 1 If if IN A52264 2635 2 a a DT A52264 2635 3 ship ship NN A52264 2635 4 sail sail NN A52264 2635 5 West west JJ A52264 2635 6 - - HYPH A52264 2635 7 north north NN A52264 2635 8 - - HYPH A52264 2635 9 west west NN A52264 2635 10 ( ( -LRB- A52264 2635 11 that that RB A52264 2635 12 is is RB A52264 2635 13 , , , A52264 2635 14 upon upon IN A52264 2635 15 the the DT A52264 2635 16 sixt sixt NNS A52264 2635 17 Rumb Rumb NNP A52264 2635 18 from from IN A52264 2635 19 the the DT A52264 2635 20 meridian meridian NN A52264 2635 21 ) ) -RRB- A52264 2635 22 so so RB A52264 2635 23 far far RB A52264 2635 24 , , , A52264 2635 25 that that IN A52264 2635 26 from from IN A52264 2635 27 the the DT A52264 2635 28 latitude latitude NN A52264 2635 29 of of IN A52264 2635 30 51 51 CD A52264 2635 31 degrees degree NNS A52264 2635 32 , , , A52264 2635 33 53 53 CD A52264 2635 34 centesmes centesme NNS A52264 2635 35 , , , A52264 2635 36 it -PRON- PRP A52264 2635 37 cometh cometh JJ A52264 2635 38 to to IN A52264 2635 39 the the DT A52264 2635 40 latitude latitude NN A52264 2635 41 of of IN A52264 2635 42 49 49 CD A52264 2635 43 degrees degree NNS A52264 2635 44 , , , A52264 2635 45 82 82 CD A52264 2635 46 centesmes centesme NNS A52264 2635 47 ; ; : A52264 2635 48 what what WDT A52264 2635 49 difference difference NN A52264 2635 50 of of IN A52264 2635 51 Longitude Longitude NNP A52264 2635 52 hath hath NN A52264 2635 53 such such PDT A52264 2635 54 a a DT A52264 2635 55 course course NN A52264 2635 56 made make VBN A52264 2635 57 ? ? . A52264 2636 1 First first RB A52264 2636 2 , , , A52264 2636 3 I -PRON- PRP A52264 2636 4 seek seek VBP A52264 2636 5 in in IN A52264 2636 6 the the DT A52264 2636 7 Table table NN A52264 2636 8 of of IN A52264 2636 9 Meridional meridional JJ A52264 2636 10 parts part NNS A52264 2636 11 what what WP A52264 2636 12 degrees degree NNS A52264 2636 13 do do VBP A52264 2636 14 there there RB A52264 2636 15 answer answer VB A52264 2636 16 to to IN A52264 2636 17 each each DT A52264 2636 18 latitude latitude NN A52264 2636 19 , , , A52264 2636 20 and and CC A52264 2636 21 to to IN A52264 2636 22 51 51 CD A52264 2636 23 degrees degree NNS A52264 2636 24 , , , A52264 2636 25 53 53 CD A52264 2636 26 min min NN A52264 2636 27 . . . A52264 2637 1 I -PRON- PRP A52264 2637 2 finde finde VBP A52264 2637 3 60 60 CD A52264 2637 4 . . . A52264 2638 1 328 328 CD A52264 2638 2 , , , A52264 2638 3 and and CC A52264 2638 4 to to IN A52264 2638 5 49 49 CD A52264 2638 6 degrees degree NNS A52264 2638 7 , , , A52264 2638 8 82 82 CD A52264 2638 9 minutes minute NNS A52264 2638 10 57 57 CD A52264 2638 11 . . . A52264 2639 1 629 629 CD A52264 2639 2 , , , A52264 2639 3 which which WDT A52264 2639 4 being be VBG A52264 2639 5 substracted substracte VBN A52264 2639 6 from from IN A52264 2639 7 60 60 CD A52264 2639 8 . . . A52264 2640 1 328 328 CD A52264 2640 2 their -PRON- PRP$ A52264 2640 3 difference difference NN A52264 2640 4 is be VBZ A52264 2640 5 2 2 CD A52264 2640 6 . . . A52264 2641 1 699 699 CD A52264 2641 2 , , , A52264 2641 3 the the DT A52264 2641 4 proper proper JJ A52264 2641 5 difference difference NN A52264 2641 6 of of IN A52264 2641 7 latitude latitude NN A52264 2641 8 . . . A52264 2642 1 Therefore therefore RB A52264 2642 2 , , , A52264 2642 3 As as IN A52264 2642 4 the the DT A52264 2642 5 Radius Radius NNP A52264 2642 6 , , , A52264 2642 7 10.000000 10.000000 CD A52264 2642 8 To to IN A52264 2642 9 the the DT A52264 2642 10 tangent tangent NN A52264 2642 11 of of IN A52264 2642 12 67.50 67.50 CD A52264 2642 13 . . . A52264 2643 1 10.382775 10.382775 CD A52264 2643 2 So so RB A52264 2643 3 is be VBZ A52264 2643 4 2.699 2.699 CD A52264 2643 5 . . . A52264 2644 1 0.431203 0.431203 CD A52264 2644 2         _SP A52264 2644 3 To to IN A52264 2644 4 6 6 CD A52264 2644 5 the the DT A52264 2644 6 difference difference NN A52264 2644 7 of of IN A52264 2644 8 Longitude Longitude NNP A52264 2644 9 , , , A52264 2644 10 0.813978 0.813978 CD A52264 2644 11 Or or CC A52264 2644 12 in in IN A52264 2644 13 minuter minuter JJ A52264 2644 14 parts part NNS A52264 2644 15 6 6 CD A52264 2644 16 . . . A52264 2645 1 515 515 CD A52264 2645 2 , , , A52264 2645 3 that that RB A52264 2645 4 is is RB A52264 2645 5 6 6 CD A52264 2645 6 degr degr NN A52264 2645 7 . . . A52264 2646 1 52 52 CD A52264 2646 2 centesmes centesme NNS A52264 2646 3 of of IN A52264 2646 4 a a DT A52264 2646 5 degree degree NN A52264 2646 6 fere fere NN A52264 2646 7 , , , A52264 2646 8 which which WDT A52264 2646 9 was be VBD A52264 2646 10 the the DT A52264 2646 11 thing thing NN A52264 2646 12 required require VBN A52264 2646 13 . . . A52264 2647 1 Here here RB A52264 2647 2 followeth followeth JJ A52264 2647 3 the the DT A52264 2647 4 Table table NN A52264 2647 5 of of IN A52264 2647 6 Meridional meridional JJ A52264 2647 7 parts part NNS A52264 2647 8 , , , A52264 2647 9 mentioned mention VBN A52264 2647 10 in in IN A52264 2647 11 some some DT A52264 2647 12 of of IN A52264 2647 13 the the DT A52264 2647 14 preceeding preceede VBG A52264 2647 15 Problemes Problemes NNPS A52264 2647 16 , , , A52264 2647 17 together together RB A52264 2647 18 with with IN A52264 2647 19 other other JJ A52264 2647 20 Tables Tables NNPS A52264 2647 21 usefull usefull VB A52264 2647 22 in in IN A52264 2647 23 the the DT A52264 2647 24 Arts art NNS A52264 2647 25 of of IN A52264 2647 26 Dialling Dialling NNP A52264 2647 27 and and CC A52264 2647 28 Navigation Navigation NNP A52264 2647 29 . . . A52264 2648 1 A a DT A52264 2648 2 Table table NN A52264 2648 3 of of IN A52264 2648 4 Meridional meridional JJ A52264 2648 5 parts part NNS A52264 2648 6 . . . A52264 2649 1 M. M. NNP A52264 2649 2 Gr Gr NNP A52264 2649 3 . . . A52264 2650 1 par par NN A52264 2650 2 0.00 0.00 CD A52264 2650 3 0.000 0.000 CD A52264 2650 4 0.10 0.10 CD A52264 2650 5 0.100 0.100 CD A52264 2650 6 0.20 0.20 CD A52264 2650 7 0.200 0.200 CD A52264 2650 8 0.30 0.30 CD A52264 2650 9 0.300 0.300 CD A52264 2650 10 0.40 0.40 CD A52264 2650 11 0.400 0.400 CD A52264 2650 12 0.50 0.50 CD A52264 2650 13 0.500 0.500 CD A52264 2650 14 0.60 0.60 CD A52264 2650 15 0.600 0.600 CD A52264 2650 16 0.70 0.70 CD A52264 2650 17 0.700 0.700 CD A52264 2650 18 0.80 0.80 CD A52264 2650 19 0.800 0.800 CD A52264 2650 20 0.90 0.90 CD A52264 2650 21 0.900 0.900 CD A52264 2650 22 1.00 1.00 CD A52264 2650 23 1.000 1.000 CD A52264 2650 24 1.10 1.10 CD A52264 2650 25 1.100 1.100 CD A52264 2650 26 1.20 1.20 CD A52264 2650 27 1.200 1.200 CD A52264 2650 28 1.30 1.30 CD A52264 2650 29 1.300 1.300 CD A52264 2650 30 1.40 1.40 CD A52264 2650 31 1.400 1.400 CD A52264 2650 32 1.50 1.50 CD A52264 2650 33 1.500 1.500 CD A52264 2650 34 1.60 1.60 CD A52264 2650 35 1.600 1.600 CD A52264 2650 36 1.70 1.70 CD A52264 2650 37 1.700 1.700 CD A52264 2650 38 1.80 1.80 CD A52264 2650 39 1.800 1.800 CD A52264 2650 40 1.90 1.90 CD A52264 2650 41 1.900 1.900 CD A52264 2650 42 2.00 2.00 CD A52264 2650 43 2.000 2.000 CD A52264 2650 44 2.10 2.10 CD A52264 2650 45 2.100 2.100 CD A52264 2650 46 2.20 2.20 CD A52264 2650 47 2.200 2.200 CD A52264 2650 48 2.30 2.30 CD A52264 2650 49 2.300 2.300 CD A52264 2650 50 2.40 2.40 CD A52264 2650 51 2.400 2.400 CD A52264 2650 52 2.50 2.50 CD A52264 2650 53 2.500 2.500 CD A52264 2650 54 2.61 2.61 CD A52264 2650 55 2.600 2.600 CD A52264 2650 56 2.71 2.71 CD A52264 2650 57 2.700 2.700 CD A52264 2650 58 2.81 2.81 CD A52264 2650 59 2.800 2.800 CD A52264 2650 60 2.91 2.91 CD A52264 2650 61 2.900 2.900 CD A52264 2650 62 3.01 3.01 CD A52264 2650 63 3.000 3.000 CD A52264 2650 64 3.00 3.00 CD A52264 2650 65 3.001 3.001 CD A52264 2650 66 3.10 3.10 CD A52264 2650 67 3.101 3.101 CD A52264 2650 68 3.20 3.20 CD A52264 2650 69 3.201 3.201 CD A52264 2650 70 3.30 3.30 CD A52264 2650 71 3.301 3.301 CD A52264 2650 72 3.40 3.40 CD A52264 2650 73 3.402 3.402 CD A52264 2650 74 3.50 3.50 CD A52264 2650 75 3.502 3.502 CD A52264 2650 76 3.60 3.60 CD A52264 2650 77 3.602 3.602 CD A52264 2650 78 3.70 3.70 CD A52264 2650 79 3.702 3.702 CD A52264 2650 80 3.80 3.80 CD A52264 2650 81 3.803 3.803 CD A52264 2650 82 3.90 3.90 CD A52264 2650 83 3.903 3.903 CD A52264 2650 84 4.00 4.00 CD A52264 2650 85 4.003 4.003 CD A52264 2650 86 4.10 4.10 CD A52264 2650 87 4.103 4.103 CD A52264 2650 88 4.20 4.20 CD A52264 2650 89 4.204 4.204 CD A52264 2650 90 4.30 4.30 CD A52264 2650 91 4.304 4.304 CD A52264 2650 92 4.40 4.40 CD A52264 2650 93 4.404 4.404 CD A52264 2650 94 4.50 4.50 CD A52264 2650 95 4.504 4.504 CD A52264 2650 96 4.60 4.60 CD A52264 2650 97 4.605 4.605 CD A52264 2650 98 4.70 4.70 CD A52264 2650 99 4.705 4.705 CD A52264 2650 100 4.80 4.80 CD A52264 2650 101 4.805 4.805 CD A52264 2650 102 4.90 4.90 CD A52264 2650 103 4.906 4.906 CD A52264 2650 104 5.00 5.00 CD A52264 2650 105 5.006 5.006 CD A52264 2650 106 5.10 5.10 CD A52264 2650 107 5.106 5.106 CD A52264 2650 108 5.20 5.20 CD A52264 2650 109 5.207 5.207 CD A52264 2650 110 5.30 5.30 CD A52264 2650 111 5.307 5.307 CD A52264 2650 112 5.40 5.40 CD A52264 2650 113 5.408 5.408 CD A52264 2650 114 5.50 5.50 CD A52264 2650 115 5.508 5.508 CD A52264 2650 116 5.60 5.60 CD A52264 2650 117 5.609 5.609 CD A52264 2650 118 5.70 5.70 CD A52264 2650 119 5.709 5.709 CD A52264 2650 120 5.80 5.80 CD A52264 2650 121 5.810 5.810 CD A52264 2650 122 5.90 5.90 CD A52264 2650 123 5.910 5.910 CD A52264 2650 124 6.00 6.00 CD A52264 2650 125 6.011 6.011 CD A52264 2650 126 6.10 6.10 CD A52264 2650 127 6.111 6.111 CD A52264 2650 128 6.20 6.20 CD A52264 2650 129 6.212 6.212 CD A52264 2650 130 6.30 6.30 CD A52264 2650 131 6.312 6.312 CD A52264 2650 132 6.40 6.40 CD A52264 2650 133 6.413 6.413 CD A52264 2650 134 6.50 6.50 CD A52264 2650 135 6.514 6.514 CD A52264 2650 136 6.60 6.60 CD A52264 2650 137 6.614 6.614 CD A52264 2650 138 6.70 6.70 CD A52264 2650 139 6.715 6.715 CD A52264 2650 140 6.80 6.80 CD A52264 2650 141 6.816 6.816 CD A52264 2650 142 6.90 6.90 CD A52264 2650 143 6.916 6.916 CD A52264 2650 144 7.00 7.00 CD A52264 2650 145 7.017 7.017 CD A52264 2650 146 7.10 7.10 CD A52264 2650 147 7.118 7.118 CD A52264 2650 148 7.20 7.20 CD A52264 2650 149 7.219 7.219 CD A52264 2650 150 7.30 7.30 CD A52264 2650 151 7.319 7.319 CD A52264 2650 152 7.40 7.40 CD A52264 2650 153 7.420 7.420 CD A52264 2650 154 7.50 7.50 CD A52264 2650 155 7.521 7.521 CD A52264 2650 156 7.60 7.60 CD A52264 2650 157 7.622 7.622 CD A52264 2650 158 7.70 7.70 CD A52264 2650 159 7.723 7.723 CD A52264 2650 160 7.80 7.80 CD A52264 2650 161 7.824 7.824 CD A52264 2650 162 7.90 7.90 CD A52264 2650 163 7.925 7.925 CD A52264 2650 164 8.00 8.00 CD A52264 2650 165 8.026 8.026 CD A52264 2650 166 8.10 8.10 CD A52264 2650 167 8.127 8.127 CD A52264 2650 168 8.20 8.20 CD A52264 2650 169 8.228 8.228 CD A52264 2650 170 8.30 8.30 CD A52264 2650 171 8.329 8.329 CD A52264 2650 172 8.40 8.40 CD A52264 2650 173 8.430 8.430 CD A52264 2650 174 8.50 8.50 CD A52264 2650 175 8.531 8.531 CD A52264 2650 176 8.60 8.60 CD A52264 2650 177 8.632 8.632 CD A52264 2650 178 8.70 8.70 CD A52264 2650 179 8.733 8.733 CD A52264 2650 180 8.80 8.80 CD A52264 2650 181 8.834 8.834 CD A52264 2650 182 8.90 8.90 CD A52264 2650 183 8.936 8.936 CD A52264 2650 184 9.00 9.00 CD A52264 2650 185 9.037 9.037 CD A52264 2650 186 9.10 9.10 CD A52264 2650 187 9.138 9.138 CD A52264 2650 188 9.20 9.20 CD A52264 2650 189 9.239 9.239 CD A52264 2650 190 9.30 9.30 CD A52264 2650 191 9.341 9.341 CD A52264 2650 192 9.40 9.40 CD A52264 2650 193 9.442 9.442 CD A52264 2650 194 9.50 9.50 CD A52264 2650 195 9.543 9.543 CD A52264 2650 196 9.60 9.60 CD A52264 2650 197 9.645 9.645 CD A52264 2650 198 9.70 9.70 CD A52264 2650 199 9.746 9.746 CD A52264 2650 200 9.80 9.80 CD A52264 2650 201 9.848 9.848 CD A52264 2650 202 9.90 9.90 CD A52264 2650 203 9.949 9.949 CD A52264 2650 204 10.00 10.00 CD A52264 2650 205 10.051 10.051 CD A52264 2650 206 10.10 10.10 CD A52264 2650 207 10.152 10.152 CD A52264 2650 208 10.20 10.20 CD A52264 2650 209 10.254 10.254 CD A52264 2650 210 10.30 10.30 CD A52264 2650 211 10.355 10.355 CD A52264 2650 212 10.40 10.40 CD A52264 2650 213 10.457 10.457 CD A52264 2650 214 10.50 10.50 CD A52264 2650 215 10.559 10.559 CD A52264 2650 216 10.60 10.60 CD A52264 2650 217 10.661 10.661 CD A52264 2650 218 10.70 10.70 CD A52264 2650 219 10.762 10.762 CD A52264 2650 220 10.80 10.80 CD A52264 2650 221 10.864 10.864 CD A52264 2650 222 10.90 10.90 CD A52264 2650 223 10.966 10.966 CD A52264 2650 224 11.00 11.00 CD A52264 2650 225 11.068 11.068 CD A52264 2650 226 11.10 11.10 CD A52264 2650 227 11.170 11.170 CD A52264 2650 228 11.20 11.20 CD A52264 2650 229 11.272 11.272 CD A52264 2650 230 11.30 11.30 CD A52264 2650 231 11.374 11.374 CD A52264 2650 232 11.40 11.40 CD A52264 2650 233 11.476 11.476 CD A52264 2650 234 11.50 11.50 CD A52264 2650 235 11.578 11.578 CD A52264 2650 236 11.60 11.60 CD A52264 2650 237 11.680 11.680 CD A52264 2650 238 11.70 11.70 CD A52264 2650 239 11.782 11.782 CD A52264 2650 240 11.80 11.80 CD A52264 2650 241 11.884 11.884 CD A52264 2650 242 11.90 11.90 CD A52264 2650 243 11.986 11.986 CD A52264 2650 244 12.00 12.00 CD A52264 2650 245 12.088 12.088 CD A52264 2650 246 12.10 12.10 CD A52264 2650 247 12.190 12.190 CD A52264 2650 248 12.20 12.20 CD A52264 2650 249 12.293 12.293 CD A52264 2650 250 12.30 12.30 CD A52264 2650 251 12.395 12.395 CD A52264 2650 252 12.40 12.40 CD A52264 2650 253 12.497 12.497 CD A52264 2650 254 12.50 12.50 CD A52264 2650 255 12.600 12.600 CD A52264 2650 256 12.60 12.60 CD A52264 2650 257 12.702 12.702 CD A52264 2650 258 12.70 12.70 CD A52264 2650 259 12.805 12.805 CD A52264 2650 260 12.80 12.80 CD A52264 2650 261 12.907 12.907 CD A52264 2650 262 12.90 12.90 CD A52264 2650 263 13.010 13.010 CD A52264 2650 264 13.00 13.00 CD A52264 2650 265 13.112 13.112 CD A52264 2650 266 13.10 13.10 CD A52264 2650 267 13.215 13.215 CD A52264 2650 268 13.20 13.20 CD A52264 2650 269 13.318 13.318 CD A52264 2650 270 13.30 13.30 CD A52264 2650 271 13.422 13.422 CD A52264 2650 272 13.40 13.40 CD A52264 2650 273 13.523 13.523 CD A52264 2650 274 13.50 13.50 CD A52264 2650 275 13.626 13.626 CD A52264 2650 276 13.60 13.60 CD A52264 2650 277 13.729 13.729 CD A52264 2650 278 13.70 13.70 CD A52264 2650 279 13.832 13.832 CD A52264 2650 280 13.80 13.80 CD A52264 2650 281 13.935 13.935 CD A52264 2650 282 13.90 13.90 CD A52264 2650 283 14.038 14.038 CD A52264 2650 284 14.00 14.00 CD A52264 2650 285 14.141 14.141 CD A52264 2650 286 14.10 14.10 CD A52264 2650 287 14.244 14.244 CD A52264 2650 288 14.20 14.20 CD A52264 2650 289 14.347 14.347 CD A52264 2650 290 14.30 14.30 CD A52264 2650 291 14.450 14.450 CD A52264 2650 292 14.40 14.40 CD A52264 2650 293 14.553 14.553 CD A52264 2650 294 14.50 14.50 CD A52264 2650 295 14.656 14.656 CD A52264 2650 296 14.60 14.60 CD A52264 2650 297 14.760 14.760 CD A52264 2650 298 14.70 14.70 CD A52264 2650 299 14.863 14.863 CD A52264 2650 300 14.80 14.80 CD A52264 2650 301 14.967 14.967 CD A52264 2650 302 14.90 14.90 CD A52264 2650 303 15.070 15.070 CD A52264 2650 304 15.00 15.00 CD A52264 2650 305 15.174 15.174 CD A52264 2650 306 15.10 15.10 CD A52264 2650 307 15.277 15.277 CD A52264 2650 308 15.20 15.20 CD A52264 2650 309 15.381 15.381 CD A52264 2650 310 15.30 15.30 CD A52264 2650 311 15.485 15.485 CD A52264 2650 312 15.40 15.40 CD A52264 2650 313 15.588 15.588 CD A52264 2650 314 15.50 15.50 CD A52264 2650 315 15.692 15.692 CD A52264 2650 316 15.60 15.60 CD A52264 2650 317 15.796 15.796 CD A52264 2650 318 15.70 15.70 CD A52264 2650 319 15.900 15.900 CD A52264 2650 320 15.80 15.80 CD A52264 2650 321 16 16 CD A52264 2650 322 . . . A52264 2651 1 ● ● NFP A52264 2651 2 04 04 CD A52264 2651 3 15.90 15.90 CD A52264 2651 4 16.107 16.107 CD A52264 2651 5 16.00 16.00 CD A52264 2651 6 16.211 16.211 CD A52264 2651 7 16.10 16.10 CD A52264 2651 8 16.316 16.316 CD A52264 2651 9 16.20 16.20 CD A52264 2651 10 16 16 CD A52264 2651 11 . . . A52264 2652 1 42 42 CD A52264 2652 2 ● ● CD A52264 2652 3 16.30 16.30 CD A52264 2652 4 16.524 16.524 CD A52264 2652 5 16.40 16.40 CD A52264 2652 6 16.628 16.628 CD A52264 2652 7 16.50 16.50 CD A52264 2652 8 16.732 16.732 CD A52264 2652 9 16.60 16.60 CD A52264 2652 10 16.836 16.836 CD A52264 2652 11 16.70 16.70 CD A52264 2652 12 16.941 16.941 CD A52264 2652 13 16.80 16.80 CD A52264 2652 14 17.045 17.045 CD A52264 2652 15 16.90 16.90 CD A52264 2652 16 17.150 17.150 CD A52264 2652 17 17.00 17.00 CD A52264 2652 18 17.255 17.255 CD A52264 2652 19 17.10 17.10 CD A52264 2652 20 17.359 17.359 CD A52264 2652 21 17.20 17.20 CD A52264 2652 22 17.464 17.464 CD A52264 2652 23 17.30 17.30 CD A52264 2652 24 17.568 17.568 CD A52264 2652 25 17.40 17.40 CD A52264 2652 26 17.673 17.673 CD A52264 2652 27 17.50 17.50 CD A52264 2652 28 17.778 17.778 CD A52264 2652 29 17.60 17.60 CD A52264 2652 30 17.883 17.883 CD A52264 2652 31 17.70 17.70 CD A52264 2652 32 17.988 17.988 CD A52264 2652 33 17.80 17.80 CD A52264 2652 34 18.093 18.093 CD A52264 2652 35 17.90 17.90 CD A52264 2652 36 18.198 18.198 CD A52264 2652 37 18.00 18.00 CD A52264 2652 38 18.303 18.303 CD A52264 2652 39 18.10 18.10 CD A52264 2652 40 18.408 18.408 CD A52264 2652 41 18.20 18.20 CD A52264 2652 42 18.513 18.513 CD A52264 2652 43 18.30 18.30 CD A52264 2652 44 18.619 18.619 CD A52264 2652 45 18.40 18.40 CD A52264 2652 46 18.724 18.724 CD A52264 2652 47 18.50 18.50 CD A52264 2652 48 18.830 18.830 CD A52264 2652 49 18.60 18.60 CD A52264 2652 50 18.935 18.935 CD A52264 2652 51 18.70 18.70 CD A52264 2652 52 19.041 19.041 CD A52264 2652 53 18.80 18.80 CD A52264 2652 54 19.146 19.146 CD A52264 2652 55 18.90 18.90 CD A52264 2652 56 19.251 19.251 CD A52264 2652 57 19.00 19.00 CD A52264 2652 58 19.356 19.356 CD A52264 2652 59 19.10 19.10 CD A52264 2652 60 19.463 19.463 CD A52264 2652 61 19.20 19.20 CD A52264 2652 62 19.569 19.569 CD A52264 2652 63 19.30 19.30 CD A52264 2652 64 19.675 19.675 CD A52264 2652 65 19.40 19.40 CD A52264 2652 66 19.781 19.781 CD A52264 2652 67 19.50 19.50 CD A52264 2652 68 19.887 19.887 CD A52264 2652 69 19.60 19.60 CD A52264 2652 70 19.993 19.993 CD A52264 2652 71 19.70 19.70 CD A52264 2652 72 20.100 20.100 CD A52264 2652 73 19.80 19.80 CD A52264 2652 74 20.206 20.206 CD A52264 2652 75 19.90 19.90 CD A52264 2652 76 20.312 20.312 CD A52264 2652 77 20.00 20.00 CD A52264 2652 78 20.419 20.419 CD A52264 2652 79 20.10 20.10 CD A52264 2652 80 20.525 20.525 CD A52264 2652 81 20.20 20.20 CD A52264 2652 82 20.632 20.632 CD A52264 2652 83 20.30 20.30 CD A52264 2652 84 20.738 20.738 CD A52264 2652 85 20.40 20.40 CD A52264 2652 86 20.845 20.845 CD A52264 2652 87 20.50 20.50 CD A52264 2652 88 20.952 20.952 CD A52264 2652 89 20.60 20.60 CD A52264 2652 90 21.059 21.059 CD A52264 2652 91 20.70 20.70 CD A52264 2652 92 21.165 21.165 CD A52264 2652 93 20.80 20.80 CD A52264 2652 94 21.272 21.272 CD A52264 2652 95 20.90 20.90 CD A52264 2652 96 21.379 21.379 CD A52264 2652 97 21.00 21.00 CD A52264 2652 98 21.486 21.486 CD A52264 2652 99 21.10 21.10 CD A52264 2652 100 21.593 21.593 CD A52264 2652 101 21.20 21.20 CD A52264 2652 102 21.701 21.701 CD A52264 2652 103 21.30 21.30 CD A52264 2652 104 21.808 21.808 CD A52264 2652 105 21.40 21.40 CD A52264 2652 106 21.915 21.915 CD A52264 2652 107 21.50 21.50 CD A52264 2652 108 21.023 21.023 CD A52264 2652 109 21.60 21.60 CD A52264 2652 110 22.130 22.130 CD A52264 2652 111 21.70 21.70 CD A52264 2652 112 22.238 22.238 CD A52264 2652 113 21.80 21.80 CD A52264 2652 114 22.345 22.345 CD A52264 2652 115 21.90 21.90 CD A52264 2652 116 22.453 22.453 CD A52264 2652 117 22.00 22.00 CD A52264 2652 118 22.561 22.561 CD A52264 2652 119 22.10 22.10 CD A52264 2652 120 22.669 22.669 CD A52264 2652 121 22.20 22.20 CD A52264 2652 122 22.777 22.777 CD A52264 2652 123 22.30 22.30 CD A52264 2652 124 22.885 22.885 CD A52264 2652 125 22.40 22.40 CD A52264 2652 126 22.993 22.993 CD A52264 2652 127 22.50 22.50 CD A52264 2652 128 23.101 23.101 CD A52264 2652 129 22.60 22.60 CD A52264 2652 130 23.210 23.210 CD A52264 2652 131 22.70 22.70 CD A52264 2652 132 23.318 23.318 CD A52264 2652 133 22.80 22.80 CD A52264 2652 134 23.427 23.427 CD A52264 2652 135 22.90 22.90 CD A52264 2652 136 23.535 23.535 CD A52264 2652 137 23.00 23.00 CD A52264 2652 138 23.643 23.643 CD A52264 2652 139 23.10 23.10 CD A52264 2652 140 23.752 23.752 CD A52264 2652 141 23.20 23.20 CD A52264 2652 142 23.861 23.861 CD A52264 2652 143 23.30 23.30 CD A52264 2652 144 23.970 23.970 CD A52264 2652 145 23.40 23.40 CD A52264 2652 146 24.079 24.079 CD A52264 2652 147 23.50 23.50 CD A52264 2652 148 24.188 24.188 CD A52264 2652 149 23.60 23.60 CD A52264 2652 150 24.297 24.297 CD A52264 2652 151 23.70 23.70 CD A52264 2652 152 24.406 24.406 CD A52264 2652 153 23.80 23.80 CD A52264 2652 154 24.515 24.515 CD A52264 2652 155 23.90 23.90 CD A52264 2652 156 24.624 24.624 CD A52264 2652 157 24.00 24.00 CD A52264 2652 158 24.734 24.734 CD A52264 2652 159 24.10 24.10 CD A52264 2652 160 24.844 24.844 CD A52264 2652 161 24.20 24.20 CD A52264 2652 162 24.953 24.953 CD A52264 2652 163 24.30 24.30 CD A52264 2652 164 25.063 25.063 CD A52264 2652 165 24.40 24.40 CD A52264 2652 166 25.173 25.173 CD A52264 2652 167 24.50 24.50 CD A52264 2652 168 25.282 25.282 CD A52264 2652 169 24.60 24.60 CD A52264 2652 170 25.392 25.392 CD A52264 2652 171 24.70 24.70 CD A52264 2652 172 25.502 25.502 CD A52264 2652 173 24.80 24.80 CD A52264 2652 174 25.613 25.613 CD A52264 2652 175 24.90 24.90 CD A52264 2652 176 25.723 25.723 CD A52264 2652 177 25.00 25.00 CD A52264 2652 178 25.833 25.833 CD A52264 2652 179 25.10 25.10 CD A52264 2652 180 25.943 25.943 CD A52264 2652 181 25.20 25.20 CD A52264 2652 182 26.054 26.054 CD A52264 2652 183 25.30 25.30 CD A52264 2652 184 26.164 26.164 CD A52264 2652 185 25.40 25.40 CD A52264 2652 186 26.275 26.275 CD A52264 2652 187 25.50 25.50 CD A52264 2652 188 26.386 26.386 CD A52264 2652 189 25.60 25.60 CD A52264 2652 190 26.497 26.497 CD A52264 2652 191 25.70 25.70 CD A52264 2652 192 26.608 26.608 CD A52264 2652 193 25.80 25.80 CD A52264 2652 194 26.719 26.719 CD A52264 2652 195 25.90 25.90 CD A52264 2652 196 26.830 26.830 CD A52264 2652 197 26.00 26.00 CD A52264 2652 198 26.941 26.941 CD A52264 2652 199 26.10 26.10 CD A52264 2652 200 27.052 27.052 CD A52264 2652 201 26.20 26.20 CD A52264 2652 202 27.164 27.164 CD A52264 2652 203 26.30 26.30 CD A52264 2652 204 27.275 27.275 CD A52264 2652 205 26.40 26.40 CD A52264 2652 206 27.387 27.387 CD A52264 2652 207 26.50 26.50 CD A52264 2652 208 27.499 27.499 CD A52264 2652 209 26.60 26.60 CD A52264 2652 210 27.610 27.610 CD A52264 2652 211 26.70 26.70 CD A52264 2652 212 27.722 27.722 CD A52264 2652 213 26.80 26.80 CD A52264 2652 214 27.834 27.834 CD A52264 2652 215 26.90 26.90 CD A52264 2652 216 27.946 27.946 CD A52264 2652 217 27.00 27.00 CD A52264 2652 218 28.058 28.058 CD A52264 2652 219 27.20 27.20 CD A52264 2652 220 28.283 28.283 CD A52264 2652 221 27.30 27.30 CD A52264 2652 222 28.396 28.396 CD A52264 2652 223 27.40 27.40 CD A52264 2652 224 28.508 28.508 CD A52264 2652 225 27.50 27.50 CD A52264 2652 226 28.621 28.621 CD A52264 2652 227 27.60 27.60 CD A52264 2652 228 28.734 28.734 CD A52264 2652 229 27.70 27.70 CD A52264 2652 230 28.847 28.847 CD A52264 2652 231 27.80 27.80 CD A52264 2652 232 28.959 28.959 CD A52264 2652 233 27.90 27.90 CD A52264 2652 234 29.072 29.072 CD A52264 2652 235 28.00 28.00 CD A52264 2652 236 29.186 29.186 CD A52264 2652 237 28.10 28.10 CD A52264 2652 238 29.299 29.299 CD A52264 2652 239 28.20 28.20 CD A52264 2652 240 29.413 29.413 CD A52264 2652 241 28.30 28.30 CD A52264 2652 242 29.526 29.526 CD A52264 2652 243 28.40 28.40 CD A52264 2652 244 29.640 29.640 CD A52264 2652 245 28.50 28.50 CD A52264 2652 246 29.753 29.753 CD A52264 2652 247 28.60 28.60 CD A52264 2652 248 29.867 29.867 CD A52264 2652 249 28.70 28.70 CD A52264 2652 250 29.981 29.981 CD A52264 2652 251 28.80 28.80 CD A52264 2652 252 30.095 30.095 CD A52264 2652 253 28.90 28.90 CD A52264 2652 254 30.300 30.300 CD A52264 2652 255 29.00 29.00 CD A52264 2652 256 30.324 30.324 CD A52264 2652 257 29.10 29.10 CD A52264 2652 258 30.438 30.438 CD A52264 2652 259 29.20 29.20 CD A52264 2652 260 30.553 30.553 CD A52264 2652 261 29.30 29.30 CD A52264 2652 262 30.667 30.667 CD A52264 2652 263 29.40 29.40 CD A52264 2652 264 30.782 30.782 CD A52264 2652 265 29.50 29.50 CD A52264 2652 266 30.897 30.897 CD A52264 2652 267 29.60 29.60 CD A52264 2652 268 31.012 31.012 CD A52264 2652 269 29.70 29.70 CD A52264 2652 270 31.127 31.127 CD A52264 2652 271 29.80 29.80 CD A52264 2652 272 31.242 31.242 CD A52264 2652 273 29.90 29.90 CD A52264 2652 274 31.357 31.357 CD A52264 2652 275 30.00 30.00 CD A52264 2652 276 31.473 31.473 CD A52264 2652 277 30.10 30.10 CD A52264 2652 278 31.588 31.588 CD A52264 2652 279 30.20 30.20 CD A52264 2652 280 31.704 31.704 CD A52264 2652 281 30.30 30.30 CD A52264 2652 282 31.820 31.820 CD A52264 2652 283 30.40 30.40 CD A52264 2652 284 31.936 31.936 CD A52264 2652 285 30.50 30.50 CD A52264 2652 286 32.052 32.052 CD A52264 2652 287 30.60 30.60 CD A52264 2652 288 32.168 32.168 CD A52264 2652 289 30.70 30.70 CD A52264 2652 290 32.284 32.284 CD A52264 2652 291 30.80 30.80 CD A52264 2652 292 32.409 32.409 CD A52264 2652 293 30.90 30.90 CD A52264 2652 294 32.517 32.517 CD A52264 2652 295 31.00 31.00 CD A52264 2652 296 32.633 32.633 CD A52264 2652 297 31.10 31.10 CD A52264 2652 298 32.750 32.750 CD A52264 2652 299 31.20 31.20 CD A52264 2652 300 32.867 32.867 CD A52264 2652 301 31.30 31.30 CD A52264 2652 302 32.984 32.984 CD A52264 2652 303 31.40 31.40 CD A52264 2652 304 33.101 33.101 CD A52264 2652 305 31.50 31.50 CD A52264 2652 306 33.218 33.218 CD A52264 2652 307 31.60 31.60 CD A52264 2652 308 33.336 33.336 CD A52264 2652 309 31.70 31.70 CD A52264 2652 310 33.453 33.453 CD A52264 2652 311 31.80 31.80 CD A52264 2652 312 33.571 33.571 CD A52264 2652 313 31.90 31.90 CD A52264 2652 314 33.688 33.688 CD A52264 2652 315 32.00 32.00 CD A52264 2652 316 33.806 33.806 CD A52264 2652 317 32.10 32.10 CD A52264 2652 318 33.924 33.924 CD A52264 2652 319 32.20 32.20 CD A52264 2652 320 34.042 34.042 CD A52264 2652 321 32.30 32.30 CD A52264 2652 322 34.161 34.161 CD A52264 2652 323 32.40 32.40 CD A52264 2652 324 34.279 34.279 CD A52264 2652 325 32.50 32.50 CD A52264 2652 326 34.397 34.397 CD A52264 2652 327 32.60 32.60 CD A52264 2652 328 34.516 34.516 CD A52264 2652 329 32.70 32.70 CD A52264 2652 330 34.635 34.635 CD A52264 2652 331 32.80 32.80 CD A52264 2652 332 34.754 34.754 CD A52264 2652 333 32.90 32.90 CD A52264 2652 334 34.873 34.873 CD A52264 2652 335 33.00 33.00 CD A52264 2652 336 34.992 34.992 CD A52264 2652 337 33.10 33.10 CD A52264 2652 338 35.111 35.111 CD A52264 2652 339 33.20 33.20 CD A52264 2652 340 35.231 35.231 CD A52264 2652 341 33.30 33.30 CD A52264 2652 342 35.350 35.350 CD A52264 2652 343 33.40 33.40 CD A52264 2652 344 35.470 35.470 CD A52264 2652 345 33.50 33.50 CD A52264 2652 346 33.590 33.590 CD A52264 2652 347 33.60 33.60 CD A52264 2652 348 35.710 35.710 CD A52264 2652 349 33.70 33.70 CD A52264 2652 350 35.830 35.830 CD A52264 2652 351 33.80 33.80 CD A52264 2652 352 35.950 35.950 CD A52264 2652 353 33.90 33.90 CD A52264 2652 354 36.071 36.071 CD A52264 2652 355 34.00 34.00 CD A52264 2652 356 36.191 36.191 CD A52264 2652 357 34.10 34.10 CD A52264 2652 358 36.312 36.312 CD A52264 2652 359 34.20 34.20 CD A52264 2652 360 36.433 36.433 CD A52264 2652 361 34.30 34.30 CD A52264 2652 362 36.554 36.554 CD A52264 2652 363 34.40 34.40 CD A52264 2652 364 36.675 36.675 CD A52264 2652 365 34.50 34.50 CD A52264 2652 366 36.796 36.796 CD A52264 2652 367 34.60 34.60 CD A52264 2652 368 36.917 36.917 CD A52264 2652 369 34.70 34.70 CD A52264 2652 370 37.039 37.039 CD A52264 2652 371 34.80 34.80 CD A52264 2652 372 37.161 37.161 CD A52264 2652 373 34.90 34.90 CD A52264 2652 374 37.283 37.283 CD A52264 2652 375 35.00 35.00 CD A52264 2652 376 37.405 37.405 CD A52264 2652 377 35.10 35.10 CD A52264 2652 378 37.527 37.527 CD A52264 2652 379 35.20 35.20 CD A52264 2652 380 37.649 37.649 CD A52264 2652 381 35.30 35.30 CD A52264 2652 382 37.771 37.771 CD A52264 2652 383 35.40 35.40 CD A52264 2652 384 37.894 37.894 CD A52264 2652 385 35.50 35.50 CD A52264 2652 386 38.017 38.017 CD A52264 2652 387 35.60 35.60 CD A52264 2652 388 38.140 38.140 CD A52264 2652 389 35.70 35.70 CD A52264 2652 390 38.263 38.263 CD A52264 2652 391 35.80 35.80 CD A52264 2652 392 38.386 38.386 CD A52264 2652 393 35.90 35.90 CD A52264 2652 394 38.509 38.509 CD A52264 2652 395 36.00 36.00 CD A52264 2652 396 38.633 38.633 CD A52264 2652 397 36.10 36.10 CD A52264 2652 398 38.757 38.757 CD A52264 2652 399 36.20 36.20 CD A52264 2652 400 38.880 38.880 CD A52264 2652 401 36.30 36.30 CD A52264 2652 402 39.004 39.004 CD A52264 2652 403 36.40 36.40 CD A52264 2652 404 39.129 39.129 CD A52264 2652 405 36.50 36.50 CD A52264 2652 406 39.253 39.253 CD A52264 2652 407 36.60 36.60 CD A52264 2652 408 39.377 39.377 CD A52264 2652 409 36.70 36.70 CD A52264 2652 410 39.502 39.502 CD A52264 2652 411 36.80 36.80 CD A52264 2652 412 39.627 39.627 CD A52264 2652 413 36.90 36.90 CD A52264 2652 414 39.752 39.752 CD A52264 2652 415 37.00 37.00 CD A52264 2652 416 39.877 39.877 CD A52264 2652 417 37.10 37.10 CD A52264 2652 418 40.002 40.002 CD A52264 2652 419 37.20 37.20 CD A52264 2652 420 40.128 40.128 CD A52264 2652 421 37.30 37.30 CD A52264 2652 422 40.253 40.253 CD A52264 2652 423 37.40 37.40 CD A52264 2652 424 40.379 40.379 CD A52264 2652 425 37.50 37.50 CD A52264 2652 426 40.505 40.505 CD A52264 2652 427 37.60 37.60 CD A52264 2652 428 40 40 CD A52264 2652 429 . . . A52264 2653 1 63 63 CD A52264 2653 2 ● ● CD A52264 2653 3 37.70 37.70 CD A52264 2653 4 40.757 40.757 CD A52264 2653 5 37.80 37.80 CD A52264 2653 6 40.884 40.884 CD A52264 2653 7 37.90 37.90 CD A52264 2653 8 41.011 41.011 CD A52264 2653 9 38.00 38.00 CD A52264 2653 10 41.137 41.137 CD A52264 2653 11 38.10 38.10 CD A52264 2653 12 41.264 41.264 CD A52264 2653 13 38.20 38.20 CD A52264 2653 14 41.392 41.392 CD A52264 2653 15 38.30 38.30 CD A52264 2653 16 41.519 41.519 CD A52264 2653 17 38.40 38.40 CD A52264 2653 18 41.646 41.646 CD A52264 2653 19 38.50 38.50 CD A52264 2653 20 41.774 41.774 CD A52264 2653 21 38.60 38.60 CD A52264 2653 22 41.902 41.902 CD A52264 2653 23 38.70 38.70 CD A52264 2653 24 42.030 42.030 CD A52264 2653 25 38.80 38.80 CD A52264 2653 26 42.158 42.158 CD A52264 2653 27 38.90 38.90 CD A52264 2653 28 42.287 42.287 CD A52264 2653 29 39.00 39.00 CD A52264 2653 30 42.415 42.415 CD A52264 2653 31 39.10 39.10 CD A52264 2653 32 42.544 42.544 CD A52264 2653 33 39.20 39.20 CD A52264 2653 34 42.673 42.673 CD A52264 2653 35 39.30 39.30 CD A52264 2653 36 42.802 42.802 CD A52264 2653 37 39.40 39.40 CD A52264 2653 38 42.931 42.931 CD A52264 2653 39 39.50 39.50 CD A52264 2653 40 43.061 43.061 CD A52264 2653 41 39.60 39.60 CD A52264 2653 42 43.191 43.191 CD A52264 2653 43 39.70 39.70 CD A52264 2653 44 43.320 43.320 CD A52264 2653 45 39.80 39.80 CD A52264 2653 46 43.451 43.451 CD A52264 2653 47 39.90 39.90 CD A52264 2653 48 43.581 43.581 CD A52264 2653 49 40.00 40.00 CD A52264 2653 50 43.711 43.711 CD A52264 2653 51 40.10 40.10 CD A52264 2653 52 43.842 43.842 CD A52264 2653 53 40.20 40.20 CD A52264 2653 54 43.973 43.973 CD A52264 2653 55 40.30 40.30 CD A52264 2653 56 44.104 44.104 CD A52264 2653 57 40.40 40.40 CD A52264 2653 58 44.235 44.235 CD A52264 2653 59 40.50 40.50 CD A52264 2653 60 44.366 44.366 CD A52264 2653 61 40.60 40.60 CD A52264 2653 62 44.498 44.498 CD A52264 2653 63 40.70 40.70 CD A52264 2653 64 44.630 44.630 CD A52264 2653 65 40.80 40.80 CD A52264 2653 66 44.762 44.762 CD A52264 2653 67 40.90 40.90 CD A52264 2653 68 44.894 44.894 CD A52264 2653 69 41.00 41.00 CD A52264 2653 70 45.026 45.026 CD A52264 2653 71 41.10 41.10 CD A52264 2653 72 45.159 45.159 CD A52264 2653 73 41.20 41.20 CD A52264 2653 74 45.292 45.292 CD A52264 2653 75 41.30 41.30 CD A52264 2653 76 45.425 45.425 CD A52264 2653 77 41.40 41.40 CD A52264 2653 78 45.558 45.558 CD A52264 2653 79 41.50 41.50 CD A52264 2653 80 45.691 45.691 CD A52264 2653 81 41.60 41.60 CD A52264 2653 82 45.825 45.825 CD A52264 2653 83 41.70 41.70 CD A52264 2653 84 45.959 45.959 CD A52264 2653 85 41.80 41.80 CD A52264 2653 86 46.093 46.093 CD A52264 2653 87 41.90 41.90 CD A52264 2653 88 46.227 46.227 CD A52264 2653 89 42.00 42.00 CD A52264 2653 90 46.362 46.362 CD A52264 2653 91 42.10 42.10 CD A52264 2653 92 46.496 46.496 CD A52264 2653 93 42.20 42.20 CD A52264 2653 94 46.631 46.631 CD A52264 2653 95 42.30 42.30 CD A52264 2653 96 46.766 46.766 CD A52264 2653 97 42.40 42.40 CD A52264 2653 98 46.902 46.902 CD A52264 2653 99 42.50 42.50 CD A52264 2653 100 47.037 47.037 CD A52264 2653 101 42.60 42.60 CD A52264 2653 102 47.173 47.173 CD A52264 2653 103 42.70 42.70 CD A52264 2653 104 47.309 47.309 CD A52264 2653 105 42.80 42.80 CD A52264 2653 106 47.445 47.445 CD A52264 2653 107 42.90 42.90 CD A52264 2653 108 47.581 47.581 CD A52264 2653 109 43.00 43.00 CD A52264 2653 110 47.718 47.718 CD A52264 2653 111 43.10 43.10 CD A52264 2653 112 47.855 47.855 CD A52264 2653 113 43.20 43.20 CD A52264 2653 114 47.992 47.992 CD A52264 2653 115 43.30 43.30 CD A52264 2653 116 48.129 48.129 CD A52264 2653 117 43.40 43.40 CD A52264 2653 118 48.267 48.267 CD A52264 2653 119 43.50 43.50 CD A52264 2653 120 48.404 48.404 CD A52264 2653 121 43.60 43.60 CD A52264 2653 122 48.542 48.542 CD A52264 2653 123 43.70 43.70 CD A52264 2653 124 48.681 48.681 CD A52264 2653 125 43.80 43.80 CD A52264 2653 126 48.819 48.819 CD A52264 2653 127 43.90 43.90 CD A52264 2653 128 48.958 48.958 CD A52264 2653 129 44.00 44.00 CD A52264 2653 130 49.097 49.097 CD A52264 2653 131 44.10 44.10 CD A52264 2653 132 49.236 49.236 CD A52264 2653 133 44.20 44.20 CD A52264 2653 134 49.375 49.375 CD A52264 2653 135 44.30 44.30 CD A52264 2653 136 49.515 49.515 CD A52264 2653 137 44.40 44.40 CD A52264 2653 138 49.655 49.655 CD A52264 2653 139 44.50 44.50 CD A52264 2653 140 49.795 49.795 CD A52264 2653 141 44.60 44.60 CD A52264 2653 142 49.935 49.935 CD A52264 2653 143 44.70 44.70 CD A52264 2653 144 50.076 50.076 CD A52264 2653 145 44.80 44.80 CD A52264 2653 146 50.217 50.217 CD A52264 2653 147 44.90 44.90 CD A52264 2653 148 50.358 50.358 CD A52264 2653 149 45.00 45.00 CD A52264 2653 150 50.499 50.499 CD A52264 2653 151 45.10 45.10 CD A52264 2653 152 50 50 CD A52264 2653 153 . . . A52264 2654 1 64 64 CD A52264 2654 2 ● ● CD A52264 2654 3 45.20 45.20 CD A52264 2654 4 50.783 50.783 CD A52264 2654 5 45.30 45.30 CD A52264 2654 6 50.925 50.925 CD A52264 2654 7 45.40 45.40 CD A52264 2654 8 51.068 51.068 CD A52264 2654 9 45.50 45.50 CD A52264 2654 10 51.210 51.210 CD A52264 2654 11 45.60 45.60 CD A52264 2654 12 51.353 51.353 CD A52264 2654 13 45.70 45.70 CD A52264 2654 14 51.496 51.496 CD A52264 2654 15 45.80 45.80 CD A52264 2654 16 51.639 51.639 CD A52264 2654 17 45.90 45.90 CD A52264 2654 18 51.783 51.783 CD A52264 2654 19 46.00 46.00 CD A52264 2654 20 51.927 51.927 CD A52264 2654 21 46.10 46.10 CD A52264 2654 22 52.071 52.071 CD A52264 2654 23 46.20 46.20 CD A52264 2654 24 52.215 52.215 CD A52264 2654 25 46.30 46.30 CD A52264 2654 26 52.360 52.360 CD A52264 2654 27 46.40 46.40 CD A52264 2654 28 52.505 52.505 CD A52264 2654 29 46.50 46.50 CD A52264 2654 30 52.650 52.650 CD A52264 2654 31 46.60 46.60 CD A52264 2654 32 52.795 52.795 CD A52264 2654 33 46.70 46.70 CD A52264 2654 34 52.941 52.941 CD A52264 2654 35 46.80 46.80 CD A52264 2654 36 53.087 53.087 CD A52264 2654 37 46.90 46.90 CD A52264 2654 38 53.233 53.233 CD A52264 2654 39 47.00 47.00 CD A52264 2654 40 53.380 53.380 CD A52264 2654 41 47.10 47.10 CD A52264 2654 42 53.526 53.526 CD A52264 2654 43 47.20 47.20 CD A52264 2654 44 53.673 53.673 CD A52264 2654 45 47.30 47.30 CD A52264 2654 46 53.821 53.821 CD A52264 2654 47 47.40 47.40 CD A52264 2654 48 53.968 53.968 CD A52264 2654 49 47.50 47.50 CD A52264 2654 50 54.116 54.116 CD A52264 2654 51 47.60 47.60 CD A52264 2654 52 54.264 54.264 CD A52264 2654 53 47.70 47.70 CD A52264 2654 54 54.413 54.413 CD A52264 2654 55 47.80 47.80 CD A52264 2654 56 54.562 54.562 CD A52264 2654 57 47.90 47.90 CD A52264 2654 58 54.711 54.711 CD A52264 2654 59 48.00 48.00 CD A52264 2654 60 54.860 54.860 CD A52264 2654 61 48.10 48.10 CD A52264 2654 62 55.010 55.010 CD A52264 2654 63 48.20 48.20 CD A52264 2654 64 55.160 55.160 CD A52264 2654 65 48.30 48.30 CD A52264 2654 66 55.310 55.310 CD A52264 2654 67 48.40 48.40 CD A52264 2654 68 55.460 55.460 CD A52264 2654 69 48.50 48.50 CD A52264 2654 70 55.611 55.611 CD A52264 2654 71 48.60 48.60 CD A52264 2654 72 55.762 55.762 CD A52264 2654 73 48.70 48.70 CD A52264 2654 74 55.913 55.913 CD A52264 2654 75 48.80 48.80 CD A52264 2654 76 56.065 56.065 CD A52264 2654 77 48.90 48.90 CD A52264 2654 78 56.117 56.117 CD A52264 2654 79 49.00 49.00 CD A52264 2654 80 56.369 56.369 CD A52264 2654 81 49.10 49.10 CD A52264 2654 82 56.522 56.522 CD A52264 2654 83 49.20 49.20 CD A52264 2654 84 56.675 56.675 CD A52264 2654 85 49.30 49.30 CD A52264 2654 86 56.828 56.828 CD A52264 2654 87 49.40 49.40 CD A52264 2654 88 56.981 56.981 CD A52264 2654 89 49.50 49.50 CD A52264 2654 90 57.135 57.135 CD A52264 2654 91 49.60 49.60 CD A52264 2654 92 57.289 57.289 CD A52264 2654 93 49.70 49.70 CD A52264 2654 94 57.444 57.444 CD A52264 2654 95 49.80 49.80 CD A52264 2654 96 57.598 57.598 CD A52264 2654 97 49.90 49.90 CD A52264 2654 98 57.754 57.754 CD A52264 2654 99 50.00 50.00 CD A52264 2654 100 57.909 57.909 CD A52264 2654 101 50.10 50.10 CD A52264 2654 102 58.065 58.065 CD A52264 2654 103 50.20 50.20 CD A52264 2654 104 58.221 58.221 CD A52264 2654 105 50.30 50.30 CD A52264 2654 106 58.377 58.377 CD A52264 2654 107 50.40 50.40 CD A52264 2654 108 58.534 58.534 CD A52264 2654 109 50.50 50.50 CD A52264 2654 110 58.691 58.691 CD A52264 2654 111 50.60 50.60 CD A52264 2654 112 58.848 58.848 CD A52264 2654 113 50.70 50.70 CD A52264 2654 114 59.006 59.006 CD A52264 2654 115 50.80 50.80 CD A52264 2654 116 59.164 59.164 CD A52264 2654 117 50.90 50.90 CD A52264 2654 118 59.322 59.322 CD A52264 2654 119 51.00 51.00 CD A52264 2654 120 59.481 59.481 CD A52264 2654 121 51.10 51.10 CD A52264 2654 122 59.640 59.640 CD A52264 2654 123 51.20 51.20 CD A52264 2654 124 59.800 59.800 CD A52264 2654 125 51.30 51.30 CD A52264 2654 126 59.960 59.960 CD A52264 2654 127 51.40 51.40 CD A52264 2654 128 60.120 60.120 CD A52264 2654 129 51.50 51.50 CD A52264 2654 130 60.280 60.280 CD A52264 2654 131 51.60 51.60 CD A52264 2654 132 60.441 60.441 CD A52264 2654 133 51.70 51.70 CD A52264 2654 134 60.601 60.601 CD A52264 2654 135 51.80 51.80 CD A52264 2654 136 60.763 60.763 CD A52264 2654 137 51.90 51.90 CD A52264 2654 138 60.925 60.925 CD A52264 2654 139 52.00 52.00 CD A52264 2654 140 61.088 61.088 CD A52264 2654 141 52.10 52.10 CD A52264 2654 142 61.250 61.250 CD A52264 2654 143 52.20 52.20 CD A52264 2654 144 61.413 61.413 CD A52264 2654 145 52.30 52.30 CD A52264 2654 146 61.577 61.577 CD A52264 2654 147 52.40 52.40 CD A52264 2654 148 61.740 61.740 CD A52264 2654 149 52.50 52.50 CD A52264 2654 150 61.904 61.904 CD A52264 2654 151 52.60 52.60 CD A52264 2654 152 62.069 62.069 CD A52264 2654 153 52.70 52.70 CD A52264 2654 154 62.234 62.234 CD A52264 2654 155 52.80 52.80 CD A52264 2654 156 62.399 62.399 CD A52264 2654 157 52.90 52.90 CD A52264 2654 158 62.564 62.564 CD A52264 2654 159 53.00 53.00 CD A52264 2654 160 62.730 62.730 CD A52264 2654 161 53.10 53.10 CD A52264 2654 162 62.897 62.897 CD A52264 2654 163 53.20 53.20 CD A52264 2654 164 63.063 63.063 CD A52264 2654 165 53.30 53.30 CD A52264 2654 166 63.231 63.231 CD A52264 2654 167 53.40 53.40 CD A52264 2654 168 63.398 63.398 CD A52264 2654 169 53.50 53.50 CD A52264 2654 170 63.566 63.566 CD A52264 2654 171 53.60 53.60 CD A52264 2654 172 63.734 63.734 CD A52264 2654 173 53.70 53.70 CD A52264 2654 174 63.903 63.903 CD A52264 2654 175 53.80 53.80 CD A52264 2654 176 64.072 64.072 CD A52264 2654 177 53.90 53.90 CD A52264 2654 178 64.242 64.242 CD A52264 2654 179 54.00 54.00 CD A52264 2654 180 64.412 64.412 CD A52264 2654 181 54.10 54.10 CD A52264 2654 182 64.582 64.582 CD A52264 2654 183 54.20 54.20 CD A52264 2654 184 64.753 64.753 CD A52264 2654 185 54.30 54.30 CD A52264 2654 186 64.924 64.924 CD A52264 2654 187 54.40 54.40 CD A52264 2654 188 65.096 65.096 CD A52264 2654 189 54.50 54.50 CD A52264 2654 190 65.268 65.268 CD A52264 2654 191 54.60 54.60 CD A52264 2654 192 65.440 65.440 CD A52264 2654 193 54.70 54.70 CD A52264 2654 194 65.613 65.613 CD A52264 2654 195 54.80 54.80 CD A52264 2654 196 65.786 65.786 CD A52264 2654 197 54.90 54.90 CD A52264 2654 198 65.960 65.960 CD A52264 2654 199 55.00 55.00 CD A52264 2654 200 66.134 66.134 CD A52264 2654 201 55.10 55.10 CD A52264 2654 202 66.308 66.308 CD A52264 2654 203 55.20 55.20 CD A52264 2654 204 66.483 66.483 CD A52264 2654 205 55.30 55.30 CD A52264 2654 206 66.659 66.659 CD A52264 2654 207 55.40 55.40 CD A52264 2654 208 66.835 66.835 CD A52264 2654 209 55.50 55.50 CD A52264 2654 210 67.011 67.011 CD A52264 2654 211 55.60 55.60 CD A52264 2654 212 67.188 67.188 CD A52264 2654 213 55.70 55.70 CD A52264 2654 214 67.365 67.365 CD A52264 2654 215 55.80 55.80 CD A52264 2654 216 67.543 67.543 CD A52264 2654 217 55.90 55.90 CD A52264 2654 218 67.721 67.721 CD A52264 2654 219 56.00 56.00 CD A52264 2654 220 67.900 67.900 CD A52264 2654 221 56.10 56.10 CD A52264 2654 222 68.079 68.079 CD A52264 2654 223 56.20 56.20 CD A52264 2654 224 68 68 CD A52264 2654 225 . . . A52264 2655 1 25 25 CD A52264 2655 2 ● ● CD A52264 2655 3 56.30 56.30 CD A52264 2655 4 68.438 68.438 CD A52264 2655 5 56.40 56.40 CD A52264 2655 6 68.618 68.618 CD A52264 2655 7 56.50 56.50 CD A52264 2655 8 68.799 68.799 CD A52264 2655 9 56.60 56.60 CD A52264 2655 10 68.981 68.981 CD A52264 2655 11 56.70 56.70 CD A52264 2655 12 69.163 69.163 CD A52264 2655 13 56.80 56.80 CD A52264 2655 14 69.345 69.345 CD A52264 2655 15 56.90 56.90 CD A52264 2655 16 69.528 69.528 CD A52264 2655 17 57.00 57.00 CD A52264 2655 18 69.711 69.711 CD A52264 2655 19 57.10 57.10 CD A52264 2655 20 69.895 69.895 CD A52264 2655 21 57.20 57.20 CD A52264 2655 22 70.080 70.080 CD A52264 2655 23 57.30 57.30 CD A52264 2655 24 70.263 70.263 CD A52264 2655 25 57.40 57.40 CD A52264 2655 26 70.449 70.449 CD A52264 2655 27 57.50 57.50 CD A52264 2655 28 70.635 70.635 CD A52264 2655 29 57.60 57.60 CD A52264 2655 30 70.821 70.821 CD A52264 2655 31 57.70 57.70 CD A52264 2655 32 71.008 71.008 CD A52264 2655 33 57.80 57.80 CD A52264 2655 34 71.195 71.195 CD A52264 2655 35 57.90 57.90 CD A52264 2655 36 71.383 71.383 CD A52264 2655 37 58.00 58.00 CD A52264 2655 38 71.572 71.572 CD A52264 2655 39 58.10 58.10 CD A52264 2655 40 71.761 71.761 CD A52264 2655 41 58.20 58.20 CD A52264 2655 42 71.950 71.950 CD A52264 2655 43 58.30 58.30 CD A52264 2655 44 72.140 72.140 CD A52264 2655 45 55.40 55.40 CD A52264 2655 46 72.331 72.331 CD A52264 2655 47 58.50 58.50 CD A52264 2655 48 72.522 72.522 CD A52264 2655 49 58.60 58.60 CD A52264 2655 50 72.714 72.714 CD A52264 2655 51 58.70 58.70 CD A52264 2655 52 72.906 72.906 CD A52264 2655 53 58.80 58.80 CD A52264 2655 54 73.099 73.099 CD A52264 2655 55 58.90 58.90 CD A52264 2655 56 73.292 73.292 CD A52264 2655 57 59.00 59.00 CD A52264 2655 58 73.486 73.486 CD A52264 2655 59 59.10 59.10 CD A52264 2655 60 73.680 73.680 CD A52264 2655 61 59.20 59.20 CD A52264 2655 62 73.875 73.875 CD A52264 2655 63 59.30 59.30 CD A52264 2655 64 74.071 74.071 CD A52264 2655 65 59.40 59.40 CD A52264 2655 66 74.267 74.267 CD A52264 2655 67 59.50 59.50 CD A52264 2655 68 74.464 74.464 CD A52264 2655 69 59.60 59.60 CD A52264 2655 70 74.661 74.661 CD A52264 2655 71 59.70 59.70 CD A52264 2655 72 74.859 74.859 CD A52264 2655 73 59.80 59.80 CD A52264 2655 74 75.057 75.057 CD A52264 2655 75 59.90 59.90 CD A52264 2655 76 75.256 75.256 CD A52264 2655 77 60.00 60.00 CD A52264 2655 78 75.456 75.456 CD A52264 2655 79 60.10 60.10 CD A52264 2655 80 75.650 75.650 CD A52264 2655 81 60.20 60.20 CD A52264 2655 82 75.857 75.857 CD A52264 2655 83 60.30 60.30 CD A52264 2655 84 76.059 76.059 CD A52264 2655 85 60.40 60.40 CD A52264 2655 86 76.261 76.261 CD A52264 2655 87 60.50 60.50 CD A52264 2655 88 76.464 76.464 CD A52264 2655 89 60.60 60.60 CD A52264 2655 90 76.667 76.667 CD A52264 2655 91 60.70 60.70 CD A52264 2655 92 76.871 76.871 CD A52264 2655 93 60.80 60.80 CD A52264 2655 94 77.076 77.076 CD A52264 2655 95 60.90 60.90 CD A52264 2655 96 77.281 77.281 CD A52264 2655 97 61.00 61.00 CD A52264 2655 98 77.487 77.487 CD A52264 2655 99 61.10 61.10 CD A52264 2655 100 77.694 77.694 CD A52264 2655 101 61.20 61.20 CD A52264 2655 102 77.901 77.901 CD A52264 2655 103 61.30 61.30 CD A52264 2655 104 78.109 78.109 CD A52264 2655 105 61.40 61.40 CD A52264 2655 106 78.317 78.317 CD A52264 2655 107 61.50 61.50 CD A52264 2655 108 78.526 78.526 CD A52264 2655 109 61.60 61.60 CD A52264 2655 110 78.736 78.736 CD A52264 2655 111 61.70 61.70 CD A52264 2655 112 78.947 78.947 CD A52264 2655 113 61.80 61.80 CD A52264 2655 114 79.158 79.158 CD A52264 2655 115 61.90 61.90 CD A52264 2655 116 79.370 79.370 CD A52264 2655 117 62.00 62.00 CD A52264 2655 118 79.583 79.583 CD A52264 2655 119 62.10 62.10 CD A52264 2655 120 79.796 79.796 CD A52264 2655 121 62.20 62.20 CD A52264 2655 122 89.010 89.010 CD A52264 2655 123 62.30 62.30 CD A52264 2655 124 89.225 89.225 CD A52264 2655 125 62.40 62.40 CD A52264 2655 126 89.441 89.441 CD A52264 2655 127 62.50 62.50 CD A52264 2655 128 89.657 89.657 CD A52264 2655 129 62.60 62.60 CD A52264 2655 130 89.874 89.874 CD A52264 2655 131 62.70 62.70 CD A52264 2655 132 81.091 81.091 CD A52264 2655 133 62.80 62.80 CD A52264 2655 134 81.310 81.310 CD A52264 2655 135 62.90 62.90 CD A52264 2655 136 81.529 81.529 CD A52264 2655 137 63.00 63.00 CD A52264 2655 138 81.749 81.749 CD A52264 2655 139 63.10 63.10 CD A52264 2655 140 81.970 81.970 CD A52264 2655 141 63.20 63.20 CD A52264 2655 142 82.191 82.191 CD A52264 2655 143 63.30 63.30 CD A52264 2655 144 82.413 82.413 CD A52264 2655 145 63.40 63.40 CD A52264 2655 146 82.635 82.635 CD A52264 2655 147 63.50 63.50 CD A52264 2655 148 82.860 82.860 CD A52264 2655 149 63.60 63.60 CD A52264 2655 150 83.084 83.084 CD A52264 2655 151 63.70 63.70 CD A52264 2655 152 83.310 83.310 CD A52264 2655 153 63.80 63.80 CD A52264 2655 154 83.536 83.536 CD A52264 2655 155 63.90 63.90 CD A52264 2655 156 83.763 83.763 CD A52264 2655 157 64.00 64.00 CD A52264 2655 158 83.990 83.990 CD A52264 2655 159 64.10 64.10 CD A52264 2655 160 84.219 84.219 CD A52264 2655 161 64.20 64.20 CD A52264 2655 162 84.448 84.448 CD A52264 2655 163 64.30 64.30 CD A52264 2655 164 84.678 84.678 CD A52264 2655 165 64.40 64.40 CD A52264 2655 166 84.909 84.909 CD A52264 2655 167 64.50 64.50 CD A52264 2655 168 85.141 85.141 CD A52264 2655 169 64.60 64.60 CD A52264 2655 170 85.374 85.374 CD A52264 2655 171 64.70 64.70 CD A52264 2655 172 85.607 85.607 CD A52264 2655 173 64.80 64.80 CD A52264 2655 174 85.842 85.842 CD A52264 2655 175 64.90 64.90 CD A52264 2655 176 86.077 86.077 CD A52264 2655 177 65.00 65.00 CD A52264 2655 178 86.313 86.313 CD A52264 2655 179 65.10 65.10 CD A52264 2655 180 86.550 86.550 CD A52264 2655 181 65.20 65.20 CD A52264 2655 182 86.788 86.788 CD A52264 2655 183 65.30 65.30 CD A52264 2655 184 87.027 87.027 CD A52264 2655 185 65.40 65.40 CD A52264 2655 186 87.267 87.267 CD A52264 2655 187 65.50 65.50 CD A52264 2655 188 87.508 87.508 CD A52264 2655 189 65.60 65.60 CD A52264 2655 190 87.749 87.749 CD A52264 2655 191 65.70 65.70 CD A52264 2655 192 87.992 87.992 CD A52264 2655 193 65.80 65.80 CD A52264 2655 194 88.235 88.235 CD A52264 2655 195 65.90 65.90 CD A52264 2655 196 88.480 88.480 CD A52264 2655 197 66.00 66.00 CD A52264 2655 198 88.725 88.725 CD A52264 2655 199 66.10 66.10 CD A52264 2655 200 88.971 88.971 CD A52264 2655 201 66.20 66.20 CD A52264 2655 202 89.219 89.219 CD A52264 2655 203 66.30 66.30 CD A52264 2655 204 89.467 89.467 CD A52264 2655 205 66.40 66.40 CD A52264 2655 206 89.716 89.716 CD A52264 2655 207 66.50 66.50 CD A52264 2655 208 89.967 89.967 CD A52264 2655 209 66.60 66.60 CD A52264 2655 210 90.218 90.218 CD A52264 2655 211 66.70 66.70 CD A52264 2655 212 90.470 90.470 CD A52264 2655 213 66.80 66.80 CD A52264 2655 214 90.723 90.723 CD A52264 2655 215 66.90 66.90 CD A52264 2655 216 90.978 90.978 CD A52264 2655 217 67.00 67.00 CD A52264 2655 218 91.232 91.232 CD A52264 2655 219 67.10 67.10 CD A52264 2655 220 91.489 91.489 CD A52264 2655 221 67.20 67.20 CD A52264 2655 222 91.746 91.746 CD A52264 2655 223 67.30 67.30 CD A52264 2655 224 92.005 92.005 CD A52264 2655 225 67.40 67.40 CD A52264 2655 226 92.264 92.264 CD A52264 2655 227 67.50 67.50 CD A52264 2655 228 92.525 92.525 CD A52264 2655 229 67.60 67.60 CD A52264 2655 230 92.787 92.787 CD A52264 2655 231 67.70 67.70 CD A52264 2655 232 93.050 93.050 CD A52264 2655 233 67.80 67.80 CD A52264 2655 234 93.314 93.314 CD A52264 2655 235 67.90 67.90 CD A52264 2655 236 93.579 93.579 CD A52264 2655 237 68.00 68.00 CD A52264 2655 238 93.846 93.846 CD A52264 2655 239 68.10 68.10 CD A52264 2655 240 94.113 94.113 CD A52264 2655 241 68.20 68.20 CD A52264 2655 242 94.382 94.382 CD A52264 2655 243 68.30 68.30 CD A52264 2655 244 94.652 94.652 CD A52264 2655 245 68.40 68.40 CD A52264 2655 246 94.923 94.923 CD A52264 2655 247 68.50 68.50 CD A52264 2655 248 95.195 95.195 CD A52264 2655 249 68.60 68.60 CD A52264 2655 250 95.468 95.468 CD A52264 2655 251 68.70 68.70 CD A52264 2655 252 95.743 95.743 CD A52264 2655 253 68.80 68.80 CD A52264 2655 254 96.019 96.019 CD A52264 2655 255 68.90 68.90 CD A52264 2655 256 96.296 96.296 CD A52264 2655 257 69.00 69.00 CD A52264 2655 258 96.575 96.575 CD A52264 2655 259 69.10 69.10 CD A52264 2655 260 96.854 96.854 CD A52264 2655 261 69.20 69.20 CD A52264 2655 262 97.135 97.135 CD A52264 2655 263 69.30 69.30 CD A52264 2655 264 97.418 97.418 CD A52264 2655 265 69.40 69.40 CD A52264 2655 266 97.701 97.701 CD A52264 2655 267 69.50 69.50 CD A52264 2655 268 97.986 97.986 CD A52264 2655 269 69.60 69.60 CD A52264 2655 270 98.272 98.272 CD A52264 2655 271 69.70 69.70 CD A52264 2655 272 98.560 98.560 CD A52264 2655 273 69.80 69.80 CD A52264 2655 274 98.849 98.849 CD A52264 2655 275 69.90 69.90 CD A52264 2655 276 99.139 99.139 CD A52264 2655 277 70.00 70.00 CD A52264 2655 278 99.431 99.431 CD A52264 2655 279 70.10 70.10 CD A52264 2655 280 99.724 99.724 CD A52264 2655 281 70.20 70.20 CD A52264 2655 282 100.018 100.018 CD A52264 2655 283 70.30 70.30 CD A52264 2655 284 100.314 100.314 CD A52264 2655 285 70.40 70.40 CD A52264 2655 286 100.612 100.612 CD A52264 2655 287 70.50 70.50 CD A52264 2655 288 100.910 100.910 CD A52264 2655 289 70.60 70.60 CD A52264 2655 290 101.211 101.211 CD A52264 2655 291 70.70 70.70 CD A52264 2655 292 101.513 101.513 CD A52264 2655 293 70.80 70.80 CD A52264 2655 294 101.816 101.816 CD A52264 2655 295 70.90 70.90 CD A52264 2655 296 102.121 102.121 CD A52264 2655 297 71.00 71.00 CD A52264 2655 298 102.427 102.427 CD A52264 2655 299 71.10 71.10 CD A52264 2655 300 102.735 102.735 CD A52264 2655 301 71.20 71.20 CD A52264 2655 302 103.044 103.044 CD A52264 2655 303 71.30 71.30 CD A52264 2655 304 103.356 103.356 CD A52264 2655 305 71.40 71.40 CD A52264 2655 306 103.668 103.668 CD A52264 2655 307 71.50 71.50 CD A52264 2655 308 103.983 103.983 CD A52264 2655 309 71.60 71.60 CD A52264 2655 310 104.299 104.299 CD A52264 2655 311 71.70 71.70 CD A52264 2655 312 104.616 104.616 CD A52264 2655 313 71.80 71.80 CD A52264 2655 314 104.936 104.936 CD A52264 2655 315 71.90 71.90 CD A52264 2655 316 105.257 105.257 CD A52264 2655 317 72.00 72.00 CD A52264 2655 318 105.579 105.579 CD A52264 2655 319 72.10 72.10 CD A52264 2655 320 105 105 CD A52264 2655 321 904 904 CD A52264 2655 322 72.20 72.20 CD A52264 2655 323 106 106 CD A52264 2655 324 230 230 CD A52264 2655 325 72.30 72.30 CD A52264 2655 326 106 106 CD A52264 2655 327 558 558 CD A52264 2655 328 72.40 72.40 CD A52264 2655 329 106 106 CD A52264 2655 330 888 888 CD A52264 2655 331 72.50 72.50 CD A52264 2655 332 107 107 CD A52264 2655 333 220 220 CD A52264 2655 334 72.60 72.60 CD A52264 2655 335 107 107 CD A52264 2655 336 553 553 CD A52264 2655 337 72.70 72.70 CD A52264 2655 338 107 107 CD A52264 2655 339 888 888 CD A52264 2655 340 72.80 72.80 CD A52264 2655 341 108 108 CD A52264 2655 342 226 226 CD A52264 2655 343 72.90 72.90 CD A52264 2655 344 108 108 CD A52264 2655 345 565 565 CD A52264 2655 346 73.00 73.00 CD A52264 2655 347 108 108 CD A52264 2655 348 906 906 CD A52264 2655 349 73.10 73.10 CD A52264 2655 350 109 109 CD A52264 2655 351 249 249 CD A52264 2655 352 73.20 73.20 CD A52264 2655 353 109 109 CD A52264 2655 354 594 594 CD A52264 2655 355 73.30 73.30 CD A52264 2655 356 109 109 CD A52264 2655 357 941 941 CD A52264 2655 358 73.40 73.40 CD A52264 2655 359 110 110 CD A52264 2655 360 290 290 CD A52264 2655 361 73.50 73.50 CD A52264 2655 362 110 110 CD A52264 2655 363 641 641 CD A52264 2655 364 73.60 73.60 CD A52264 2655 365 110 110 CD A52264 2655 366 994 994 CD A52264 2655 367 73.70 73.70 CD A52264 2655 368 111 111 CD A52264 2655 369 349 349 CD A52264 2655 370 73.80 73.80 CD A52264 2655 371 111 111 CD A52264 2655 372 707 707 CD A52264 2655 373 73.90 73.90 CD A52264 2655 374 112 112 CD A52264 2655 375 066 066 CD A52264 2655 376 74.00 74.00 CD A52264 2655 377 112 112 CD A52264 2655 378 428 428 CD A52264 2655 379 74.10 74.10 CD A52264 2655 380 112 112 CD A52264 2655 381 792 792 CD A52264 2655 382 74.20 74.20 CD A52264 2655 383 113 113 CD A52264 2655 384 158 158 CD A52264 2655 385 74.30 74.30 CD A52264 2655 386 113 113 CD A52264 2655 387 526 526 CD A52264 2655 388 74.40 74.40 CD A52264 2655 389 113 113 CD A52264 2655 390 897 897 CD A52264 2655 391 74.50 74.50 CD A52264 2655 392 114 114 CD A52264 2655 393 270 270 CD A52264 2655 394 74.60 74.60 CD A52264 2655 395 114 114 CD A52264 2655 396 645 645 CD A52264 2655 397 74.70 74.70 CD A52264 2655 398 115 115 CD A52264 2655 399 023 023 CD A52264 2655 400 74.80 74.80 CD A52264 2655 401 115 115 CD A52264 2655 402 403 403 CD A52264 2655 403 74.90 74.90 CD A52264 2655 404 115 115 CD A52264 2655 405 786 786 CD A52264 2655 406 75.00 75.00 CD A52264 2655 407 116 116 CD A52264 2655 408 171 171 CD A52264 2655 409 75.10 75.10 CD A52264 2655 410 116 116 CD A52264 2655 411 559 559 CD A52264 2655 412 75.20 75.20 CD A52264 2655 413 116 116 CD A52264 2655 414 949 949 CD A52264 2655 415 75.30 75.30 CD A52264 2655 416 117 117 CD A52264 2655 417 342 342 CD A52264 2655 418 75.40 75.40 CD A52264 2655 419 117 117 CD A52264 2655 420 737 737 CD A52264 2655 421 75.50 75.50 CD A52264 2655 422 118 118 CD A52264 2655 423 135 135 CD A52264 2655 424 75.60 75.60 CD A52264 2655 425 118 118 CD A52264 2655 426 536 536 CD A52264 2655 427 75.70 75.70 CD A52264 2655 428 118 118 CD A52264 2655 429 939 939 CD A52264 2655 430 75.80 75.80 CD A52264 2655 431 119 119 CD A52264 2655 432 345 345 CD A52264 2655 433 75.90 75.90 CD A52264 2655 434 119 119 CD A52264 2655 435 755 755 CD A52264 2655 436 76.00 76.00 CD A52264 2655 437 120 120 CD A52264 2655 438 160 160 CD A52264 2655 439 76.10 76.10 CD A52264 2655 440 120 120 CD A52264 2655 441 581 581 CD A52264 2655 442 76 76 CD A52264 2655 443 20 20 CD A52264 2655 444 121 121 CD A52264 2655 445 000 000 CD A52264 2655 446 76.30 76.30 CD A52264 2655 447 121 121 CD A52264 2655 448 420 420 CD A52264 2655 449 76.40 76.40 CD A52264 2655 450 121 121 CD A52264 2655 451 843 843 CD A52264 2655 452 76.50 76.50 CD A52264 2655 453 12 12 CD A52264 2655 454 270 270 CD A52264 2655 455 76.60 76.60 CD A52264 2655 456 12 12 CD A52264 2655 457 700 700 CD A52264 2655 458 76.70 76.70 CD A52264 2655 459 123 123 CD A52264 2655 460 133 133 CD A52264 2655 461 76.80 76.80 CD A52264 2655 462 123 123 CD A52264 2655 463 570 570 CD A52264 2655 464 76.90 76.90 CD A52264 2655 465 124 124 CD A52264 2655 466 009 009 CD A52264 2655 467 77.00 77.00 CD A52264 2655 468 124 124 CD A52264 2655 469 452 452 CD A52264 2655 470 77.10 77.10 CD A52264 2655 471 124 124 CD A52264 2655 472 898 898 CD A52264 2655 473 72.20 72.20 CD A52264 2655 474 125 125 CD A52264 2655 475 348 348 CD A52264 2655 476 77.30 77.30 CD A52264 2655 477 125 125 CD A52264 2655 478 801 801 CD A52264 2655 479 77.40 77.40 CD A52264 2655 480 126 126 CD A52264 2655 481 258 258 CD A52264 2655 482 77.50 77.50 CD A52264 2655 483 126 126 CD A52264 2655 484 718 718 CD A52264 2655 485 77.60 77.60 CD A52264 2655 486 127 127 CD A52264 2655 487 182 182 CD A52264 2655 488 77.70 77.70 CD A52264 2655 489 127 127 CD A52264 2655 490 649 649 CD A52264 2655 491 77.80 77.80 CD A52264 2655 492 128 128 CD A52264 2655 493 121 121 CD A52264 2655 494 77.90 77.90 CD A52264 2655 495 128 128 CD A52264 2655 496 596 596 CD A52264 2655 497 78.00 78.00 CD A52264 2655 498 129 129 CD A52264 2655 499 075 075 CD A52264 2655 500 78 78 CD A52264 2655 501 10 10 CD A52264 2655 502 129 129 CD A52264 2655 503 558 558 CD A52264 2655 504 78 78 CD A52264 2655 505 20 20 CD A52264 2655 506 130 130 CD A52264 2655 507 045 045 CD A52264 2655 508 78 78 CD A52264 2655 509 30 30 CD A52264 2655 510 130 130 CD A52264 2655 511 536 536 CD A52264 2655 512 78 78 CD A52264 2655 513 40 40 CD A52264 2655 514 131 131 CD A52264 2655 515 031 031 CD A52264 2655 516 78 78 CD A52264 2655 517 50 50 CD A52264 2655 518 131 131 CD A52264 2655 519 530 530 CD A52264 2655 520 78 78 CD A52264 2655 521 60 60 CD A52264 2655 522 132 132 CD A52264 2655 523 034 034 CD A52264 2655 524 78 78 CD A52264 2655 525 70 70 CD A52264 2655 526 132 132 CD A52264 2655 527 542 542 CD A52264 2655 528 78 78 CD A52264 2655 529 80 80 CD A52264 2655 530 113 113 CD A52264 2655 531 055 055 CD A52264 2655 532 78 78 CD A52264 2655 533 90 90 CD A52264 2655 534 113 113 CD A52264 2655 535 572 572 CD A52264 2655 536 79 79 CD A52264 2655 537 00 00 CD A52264 2655 538 134 134 CD A52264 2655 539 094 094 CD A52264 2655 540 79 79 CD A52264 2655 541 10 10 CD A52264 2655 542 134 134 CD A52264 2655 543 620 620 CD A52264 2655 544 79 79 CD A52264 2655 545 20 20 CD A52264 2655 546 135 135 CD A52264 2655 547 151 151 CD A52264 2655 548 79 79 CD A52264 2655 549 30 30 CD A52264 2655 550 135 135 CD A52264 2655 551 687 687 CD A52264 2655 552 79 79 CD A52264 2655 553 40 40 CD A52264 2655 554 136 136 CD A52264 2655 555 228 228 CD A52264 2655 556 79 79 CD A52264 2655 557 50 50 CD A52264 2655 558 136 136 CD A52264 2655 559 775 775 CD A52264 2655 560 79 79 CD A52264 2655 561 60 60 CD A52264 2655 562 137 137 CD A52264 2655 563 326 326 CD A52264 2655 564 79 79 CD A52264 2655 565 70 70 CD A52264 2655 566 137 137 CD A52264 2655 567 883 883 CD A52264 2655 568 79 79 CD A52264 2655 569 80 80 CD A52264 2655 570 138 138 CD A52264 2655 571 445 445 CD A52264 2655 572 79 79 CD A52264 2655 573 90 90 CD A52264 2655 574 139 139 CD A52264 2655 575 012 012 CD A52264 2655 576 80 80 CD A52264 2655 577 00 00 CD A52264 2655 578 139 139 CD A52264 2655 579 585 585 CD A52264 2655 580 80 80 CD A52264 2655 581 10 10 CD A52264 2655 582 140 140 CD A52264 2655 583 164 164 CD A52264 2655 584 80 80 CD A52264 2655 585 20 20 CD A52264 2655 586 140 140 CD A52264 2655 587 748 748 CD A52264 2655 588 80 80 CD A52264 2655 589 30 30 CD A52264 2655 590 141 141 CD A52264 2655 591 339 339 CD A52264 2655 592 80 80 CD A52264 2655 593 40 40 CD A52264 2655 594 141 141 CD A52264 2655 595 936 936 CD A52264 2655 596 80 80 CD A52264 2655 597 50 50 CD A52264 2655 598 142 142 CD A52264 2655 599 138 138 CD A52264 2655 600 80 80 CD A52264 2655 601 60 60 CD A52264 2655 602 143 143 CD A52264 2655 603 147 147 CD A52264 2655 604 80 80 CD A52264 2655 605 70 70 CD A52264 2655 606 143 143 CD A52264 2655 607 763 763 CD A52264 2655 608 80 80 CD A52264 2655 609 80 80 CD A52264 2655 610 144 144 CD A52264 2655 611 385 385 CD A52264 2655 612 80 80 CD A52264 2655 613 90 90 CD A52264 2655 614 145 145 CD A52264 2655 615 014 014 CD A52264 2655 616 81 81 CD A52264 2655 617 00 00 CD A52264 2655 618 145 145 CD A52264 2655 619 650 650 CD A52264 2655 620 81 81 CD A52264 2655 621 10 10 CD A52264 2655 622 146 146 CD A52264 2655 623 292 292 CD A52264 2655 624 81 81 CD A52264 2655 625 20 20 CD A52264 2655 626 146 146 CD A52264 2655 627 942 942 CD A52264 2655 628 81 81 CD A52264 2655 629 30 30 CD A52264 2655 630 147 147 CD A52264 2655 631 600 600 CD A52264 2655 632 81 81 CD A52264 2655 633 40 40 CD A52264 2655 634 148 148 CD A52264 2655 635 265 265 CD A52264 2655 636 81 81 CD A52264 2655 637 50 50 CD A52264 2655 638 148 148 CD A52264 2655 639 937 937 CD A52264 2655 640 81 81 CD A52264 2655 641 60 60 CD A52264 2655 642 149 149 CD A52264 2655 643 618 618 CD A52264 2655 644 81 81 CD A52264 2655 645 70 70 CD A52264 2655 646 150 150 CD A52264 2655 647 307 307 CD A52264 2655 648 81 81 CD A52264 2655 649 80 80 CD A52264 2655 650 151 151 CD A52264 2655 651 003 003 CD A52264 2655 652 81 81 CD A52264 2655 653 90 90 CD A52264 2655 654 151 151 CD A52264 2655 655 709 709 CD A52264 2655 656 82 82 CD A52264 2655 657 00 00 CD A52264 2655 658 152 152 CD A52264 2655 659 423 423 CD A52264 2655 660 82 82 CD A52264 2655 661 10 10 CD A52264 2655 662 153 153 CD A52264 2655 663 147 147 CD A52264 2655 664 82 82 CD A52264 2655 665 20 20 CD A52264 2655 666 153 153 CD A52264 2655 667 878 878 CD A52264 2655 668 82 82 CD A52264 2655 669 30 30 CD A52264 2655 670 154 154 CD A52264 2655 671 620 620 CD A52264 2655 672 82 82 CD A52264 2655 673 40 40 CD A52264 2655 674 155 155 CD A52264 2655 675 372 372 CD A52264 2655 676 82 82 CD A52264 2655 677 50 50 CD A52264 2655 678 156 156 CD A52264 2655 679 132 132 CD A52264 2655 680 82 82 CD A52264 2655 681 60 60 CD A52264 2655 682 156 156 CD A52264 2655 683 903 903 CD A52264 2655 684 82 82 CD A52264 2655 685 70 70 CD A52264 2655 686 157 157 CD A52264 2655 687 685 685 CD A52264 2655 688 82 82 CD A52264 2655 689 80 80 CD A52264 2655 690 158 158 CD A52264 2655 691 478 478 CD A52264 2655 692 82 82 CD A52264 2655 693 90 90 CD A52264 2655 694 159 159 CD A52264 2655 695 281 281 CD A52264 2655 696 83 83 CD A52264 2655 697 00 00 CD A52264 2655 698 160 160 CD A52264 2655 699 096 096 CD A52264 2655 700 83 83 CD A52264 2655 701 10 10 CD A52264 2655 702 160 160 CD A52264 2655 703 922 922 CD A52264 2655 704 83 83 CD A52264 2655 705 20 20 CD A52264 2655 706 161 161 CD A52264 2655 707 761 761 CD A52264 2655 708 83 83 CD A52264 2655 709 30 30 CD A52264 2655 710 162 162 CD A52264 2655 711 612 612 CD A52264 2655 712 83 83 CD A52264 2655 713 40 40 CD A52264 2655 714 163 163 CD A52264 2655 715 475 475 CD A52264 2655 716 83 83 CD A52264 2655 717 50 50 CD A52264 2655 718 164 164 CD A52264 2655 719 352 352 CD A52264 2655 720 83 83 CD A52264 2655 721 60 60 CD A52264 2655 722 165 165 CD A52264 2655 723 242 242 CD A52264 2655 724 83 83 CD A52264 2655 725 70 70 CD A52264 2655 726 166 166 CD A52264 2655 727 146 146 CD A52264 2655 728 83 83 CD A52264 2655 729 80 80 CD A52264 2655 730 167 167 CD A52264 2655 731 065 065 CD A52264 2655 732 83 83 CD A52264 2655 733 90 90 CD A52264 2655 734 167 167 CD A52264 2655 735 999 999 CD A52264 2655 736 84 84 CD A52264 2655 737 00 00 CD A52264 2655 738 168 168 CD A52264 2655 739 947 947 CD A52264 2655 740 84 84 CD A52264 2655 741 10 10 CD A52264 2655 742 169 169 CD A52264 2655 743 912 912 CD A52264 2655 744 84 84 CD A52264 2655 745 20 20 CD A52264 2655 746 170 170 CD A52264 2655 747 893 893 CD A52264 2655 748 84 84 CD A52264 2655 749 30 30 CD A52264 2655 750 171 171 CD A52264 2655 751 891 891 CD A52264 2655 752 84 84 CD A52264 2655 753 40 40 CD A52264 2655 754 172 172 CD A52264 2655 755 907 907 CD A52264 2655 756 84 84 CD A52264 2655 757 50 50 CD A52264 2655 758 173 173 CD A52264 2655 759 941 941 CD A52264 2655 760 84 84 CD A52264 2655 761 60 60 CD A52264 2655 762 174 174 CD A52264 2655 763 994 994 CD A52264 2655 764 84 84 CD A52264 2655 765 70 70 CD A52264 2655 766 176 176 CD A52264 2655 767 ● ● CD A52264 2655 768 67 67 CD A52264 2655 769 84 84 CD A52264 2655 770 80 80 CD A52264 2655 771 177 177 CD A52264 2655 772 160 160 CD A52264 2655 773 84 84 CD A52264 2655 774 90 90 CD A52264 2655 775 178 178 CD A52264 2655 776 275 275 CD A52264 2655 777 85 85 CD A52264 2655 778 00 00 CD A52264 2655 779 179 179 CD A52264 2655 780 411 411 CD A52264 2655 781 85 85 CD A52264 2655 782 10 10 CD A52264 2655 783 180 180 CD A52264 2655 784 569 569 CD A52264 2655 785 85 85 CD A52264 2655 786 20 20 CD A52264 2655 787 181 181 CD A52264 2655 788 752 752 CD A52264 2655 789 85 85 CD A52264 2655 790 30 30 CD A52264 2655 791 182 182 CD A52264 2655 792 960 960 CD A52264 2655 793 85 85 CD A52264 2655 794 40 40 CD A52264 2655 795 184 184 CD A52264 2655 796 194 194 CD A52264 2655 797 85 85 CD A52264 2655 798 50 50 CD A52264 2655 799 185 185 CD A52264 2655 800 454 454 CD A52264 2655 801 85 85 CD A52264 2655 802 60 60 CD A52264 2655 803 186 186 CD A52264 2655 804 743 743 CD A52264 2655 805 85 85 CD A52264 2655 806 70 70 CD A52264 2655 807 188 188 CD A52264 2655 808 062 062 CD A52264 2655 809 85 85 CD A52264 2655 810 80 80 CD A52264 2655 811 189 189 CD A52264 2655 812 411 411 CD A52264 2655 813 85 85 CD A52264 2655 814 90 90 CD A52264 2655 815 190 190 CD A52264 2655 816 793 793 CD A52264 2655 817 86 86 CD A52264 2655 818 00 00 CD A52264 2655 819 192 192 CD A52264 2655 820 210 210 CD A52264 2655 821 86 86 CD A52264 2655 822 10 10 CD A52264 2655 823 193 193 CD A52264 2655 824 661 661 CD A52264 2655 825 86 86 CD A52264 2655 826 20 20 CD A52264 2655 827 195 195 CD A52264 2655 828 151 151 CD A52264 2655 829 86 86 CD A52264 2655 830 30 30 CD A52264 2655 831 196 196 CD A52264 2655 832 680 680 CD A52264 2655 833 86 86 CD A52264 2655 834 40 40 CD A52264 2655 835 198 198 CD A52264 2655 836 251 251 CD A52264 2655 837 86 86 CD A52264 2655 838 50 50 CD A52264 2655 839 199 199 CD A52264 2655 840 867 867 CD A52264 2655 841 86 86 CD A52264 2655 842 60 60 CD A52264 2655 843 201 201 CD A52264 2655 844 529 529 CD A52264 2655 845 86 86 CD A52264 2655 846 70 70 CD A52264 2655 847 203 203 CD A52264 2655 848 240 240 CD A52264 2655 849 86 86 CD A52264 2655 850 80 80 CD A52264 2655 851 205 205 CD A52264 2655 852 005 005 CD A52264 2655 853 86 86 CD A52264 2655 854 90 90 CD A52264 2655 855 206 206 CD A52264 2655 856 825 825 CD A52264 2655 857 87 87 CD A52264 2655 858 00 00 CD A52264 2655 859 208 208 CD A52264 2655 860 705 705 CD A52264 2655 861 87 87 CD A52264 2655 862 10 10 CD A52264 2655 863 210 210 CD A52264 2655 864 649 649 CD A52264 2655 865 87 87 CD A52264 2655 866 20 20 CD A52264 2655 867 212 212 CD A52264 2655 868 668 668 CD A52264 2655 869 87 87 CD A52264 2655 870 30 30 CD A52264 2655 871 214 214 CD A52264 2655 872 745 745 CD A52264 2655 873 87 87 CD A52264 2655 874 40 40 CD A52264 2655 875 216 216 CD A52264 2655 876 909 909 CD A52264 2655 877 87 87 CD A52264 2655 878 50 50 CD A52264 2655 879 219 219 CD A52264 2655 880 158 158 CD A52264 2655 881 87 87 CD A52264 2655 882 60 60 CD A52264 2655 883 221 221 CD A52264 2655 884 498 498 CD A52264 2655 885 87 87 CD A52264 2655 886 70 70 CD A52264 2655 887 223 223 CD A52264 2655 888 938 938 CD A52264 2655 889 87 87 CD A52264 2655 890 80 80 CD A52264 2655 891 226 226 CD A52264 2655 892 486 486 CD A52264 2655 893 87 87 CD A52264 2655 894 90 90 CD A52264 2655 895 229 229 CD A52264 2655 896 153 153 CD A52264 2655 897 88 88 CD A52264 2655 898 00 00 CD A52264 2655 899 231 231 CD A52264 2655 900 95 95 CD A52264 2655 901 ● ● CD A52264 2655 902 88 88 CD A52264 2655 903 10 10 CD A52264 2655 904 234 234 CD A52264 2655 905 891 891 CD A52264 2655 906 88 88 CD A52264 2655 907 20 20 CD A52264 2655 908 237 237 CD A52264 2655 909 991 991 CD A52264 2655 910 88 88 CD A52264 2655 911 30 30 CD A52264 2655 912 241 241 CD A52264 2655 913 268 268 CD A52264 2655 914 88 88 CD A52264 2655 915 40 40 CD A52264 2655 916 244 244 CD A52264 2655 917 744 744 CD A52264 2655 918 88 88 CD A52264 2655 919 50 50 CD A52264 2655 920 248 248 CD A52264 2655 921 445 445 CD A52264 2655 922 88 88 CD A52264 2655 923 60 60 CD A52264 2655 924 252 252 CD A52264 2655 925 402 402 CD A52264 2655 926 88 88 CD A52264 2655 927 70 70 CD A52264 2655 928 256 256 CD A52264 2655 929 652 652 CD A52264 2655 930 88 88 CD A52264 2655 931 80 80 CD A52264 2655 932 261 261 CD A52264 2655 933 243 243 CD A52264 2655 934 88 88 CD A52264 2655 935 90 90 CD A52264 2655 936 266 266 CD A52264 2655 937 235 235 CD A52264 2655 938 89 89 CD A52264 2655 939 00 00 CD A52264 2655 940 271 271 CD A52264 2655 941 705 705 CD A52264 2655 942 89 89 CD A52264 2655 943 10 10 CD A52264 2655 944 277 277 CD A52264 2655 945 753 753 CD A52264 2655 946 89 89 CD A52264 2655 947 20 20 CD A52264 2655 948 284 284 CD A52264 2655 949 517 517 CD A52264 2655 950 89 89 CD A52264 2655 951 30 30 CD A52264 2655 952 292 292 CD A52264 2655 953 191 191 CD A52264 2655 954 89 89 CD A52264 2655 955 40 40 CD A52264 2655 956 301 301 CD A52264 2655 957 058 058 CD A52264 2655 958 89 89 CD A52264 2655 959 50 50 CD A52264 2655 960 311 311 CD A52264 2655 961 563 563 CD A52264 2655 962 89 89 CD A52264 2655 963 60 60 CD A52264 2655 964 324 324 CD A52264 2655 965 455 455 CD A52264 2655 966 89 89 CD A52264 2655 967 70 70 CD A52264 2655 968 341 341 CD A52264 2655 969 166 166 CD A52264 2655 970 89 89 CD A52264 2655 971 80 80 CD A52264 2655 972 365 365 CD A52264 2655 973 039 039 CD A52264 2655 974 89 89 CD A52264 2655 975 90 90 CD A52264 2655 976 408 408 CD A52264 2655 977 011 011 CD A52264 2655 978 90 90 CD A52264 2655 979 00 00 CD A52264 2655 980 Infinite infinite NN A52264 2655 981 A a NN A52264 2655 982 Table table NN A52264 2655 983 of of IN A52264 2655 984 the the DT A52264 2655 985 Suns Suns NNPS A52264 2655 986 Declination Declination NNP A52264 2655 987 , , , A52264 2655 988 for for IN A52264 2655 989 the the DT A52264 2655 990 years year NNS A52264 2655 991 1654 1654 CD A52264 2655 992 , , , A52264 2655 993 1658 1658 CD A52264 2655 994 , , , A52264 2655 995 1662 1662 CD A52264 2655 996 , , , A52264 2655 997 1666 1666 CD A52264 2655 998 . . . A52264 2656 1 Ianu Ianu NNP A52264 2656 2 . . . A52264 2657 1 Febr Febr NNP A52264 2657 2 . . . A52264 2658 1 Mar Mar NNP A52264 2658 2 Apr. April NNP A52264 2659 1 May. May NNP A52264 2660 1 June June NNP A52264 2660 2 July July NNP A52264 2660 3 . . . A52264 2661 1 Aug. August NNP A52264 2661 2 Sep. September NNP A52264 2661 3 Octo Octo NNP A52264 2661 4 . . . A52264 2662 1 Nov Nov NNP A52264 2662 2 Dec. December NNP A52264 2662 3 Dayes Dayes NNP A52264 2662 4 . . . A52264 2663 1 south south NNP A52264 2663 2 south south NNP A52264 2663 3 sout sout NNP A52264 2663 4 north north NNP A52264 2663 5 north north NNP A52264 2663 6 north north NNP A52264 2663 7 north north NNP A52264 2663 8 north north NNP A52264 2663 9 nort nort NNP A52264 2663 10 south south NNP A52264 2663 11 south south NNP A52264 2663 12 south south NNP A52264 2663 13 1 1 CD A52264 2663 14 21 21 CD A52264 2663 15 78 78 CD A52264 2663 16 13 13 CD A52264 2663 17 85 85 CD A52264 2663 18 3 3 CD A52264 2663 19 48 48 CD A52264 2663 20 08 08 CD A52264 2663 21 52 52 CD A52264 2663 22 18 18 CD A52264 2663 23 03 03 CD A52264 2663 24 23 23 CD A52264 2663 25 18 18 CD A52264 2663 26 22 22 CD A52264 2663 27 16 16 CD A52264 2663 28 15 15 CD A52264 2663 29 28 28 CD A52264 2663 30 4 4 CD A52264 2663 31 50 50 CD A52264 2663 32 7 7 CD A52264 2663 33 15 15 CD A52264 2663 34 17 17 CD A52264 2663 35 60 60 CD A52264 2663 36 23 23 CD A52264 2663 37 13 13 CD A52264 2663 38 2 2 CD A52264 2663 39 21 21 CD A52264 2663 40 62 62 CD A52264 2663 41 13 13 CD A52264 2663 42 52 52 CD A52264 2663 43 3 3 CD A52264 2663 44 10 10 CD A52264 2663 45 08 08 CD A52264 2663 46 88 88 CD A52264 2663 47 18 18 CD A52264 2663 48 28 28 CD A52264 2663 49 23 23 CD A52264 2663 50 25 25 CD A52264 2663 51 22 22 CD A52264 2663 52 ● ● CD A52264 2663 53 3 3 CD A52264 2663 54 14 14 CD A52264 2663 55 98 98 CD A52264 2663 56 4 4 CD A52264 2663 57 11 11 CD A52264 2663 58 7 7 CD A52264 2663 59 53 53 CD A52264 2663 60 17 17 CD A52264 2663 61 86 86 CD A52264 2663 62 23 23 CD A52264 2663 63 20 20 CD A52264 2663 64 3 3 CD A52264 2663 65 21 21 CD A52264 2663 66 45 45 CD A52264 2663 67 13 13 CD A52264 2663 68 17 17 CD A52264 2663 69 2 2 CD A52264 2663 70 70 70 CD A52264 2663 71 09 09 CD A52264 2663 72 25 25 CD A52264 2663 73 18 18 CD A52264 2663 74 53 53 CD A52264 2663 75 23 23 CD A52264 2663 76 30 30 CD A52264 2663 77 21 21 CD A52264 2663 78 88 88 CD A52264 2663 79 14 14 CD A52264 2663 80 66 66 CD A52264 2663 81 3 3 CD A52264 2663 82 73 73 CD A52264 2663 83 7 7 CD A52264 2663 84 91 91 CD A52264 2663 85 18 18 CD A52264 2663 86 13 13 CD A52264 2663 87 23 23 CD A52264 2663 88 26 26 CD A52264 2663 89 4 4 CD A52264 2663 90 21 21 CD A52264 2663 91 27 27 CD A52264 2663 92 12 12 CD A52264 2663 93 83 83 CD A52264 2663 94 2 2 CD A52264 2663 95 30 30 CD A52264 2663 96 09 09 CD A52264 2663 97 60 60 CD A52264 2663 98 18 18 CD A52264 2663 99 77 77 CD A52264 2663 100 23 23 CD A52264 2663 101 35 35 CD A52264 2663 102 21 21 CD A52264 2663 103 73 73 CD A52264 2663 104 14 14 CD A52264 2663 105 36 36 CD A52264 2663 106 3 3 CD A52264 2663 107 35 35 CD A52264 2663 108 8 8 CD A52264 2663 109 28 28 CD A52264 2663 110 18 18 CD A52264 2663 111 40 40 CD A52264 2663 112 23 23 CD A52264 2663 113 33 33 CD A52264 2663 114 5 5 CD A52264 2663 115 21 21 CD A52264 2663 116 08 08 CD A52264 2663 117 12 12 CD A52264 2663 118 50 50 CD A52264 2663 119 1 1 CD A52264 2663 120 92 92 CD A52264 2663 121 09 09 CD A52264 2663 122 97 97 CD A52264 2663 123 19 19 CD A52264 2663 124 00 00 CD A52264 2663 125 23 23 CD A52264 2663 126 40 40 CD A52264 2663 127 21 21 CD A52264 2663 128 58 58 CD A52264 2663 129 14 14 CD A52264 2663 130 05 05 CD A52264 2663 131 2 2 CD A52264 2663 132 96 96 CD A52264 2663 133 8 8 CD A52264 2663 134 65 65 CD A52264 2663 135 18 18 CD A52264 2663 136 66 66 CD A52264 2663 137 23 23 CD A52264 2663 138 38 38 CD A52264 2663 139 6 6 CD A52264 2663 140 20 20 CD A52264 2663 141 88 88 CD A52264 2663 142 12 12 CD A52264 2663 143 15 15 CD A52264 2663 144 1 1 CD A52264 2663 145 52 52 CD A52264 2663 146 10 10 CD A52264 2663 147 31 31 CD A52264 2663 148 19 19 CD A52264 2663 149 23 23 CD A52264 2663 150 23 23 CD A52264 2663 151 43 43 CD A52264 2663 152 21 21 CD A52264 2663 153 42 42 CD A52264 2663 154 13 13 CD A52264 2663 155 73 73 CD A52264 2663 156 2 2 CD A52264 2663 157 56 56 CD A52264 2663 158 9 9 CD A52264 2663 159 03 03 CD A52264 2663 160 18 18 CD A52264 2663 161 91 91 CD A52264 2663 162 23 23 CD A52264 2663 163 43 43 CD A52264 2663 164 7 7 CD A52264 2663 165 20 20 CD A52264 2663 166 68 68 CD A52264 2663 167 11 11 CD A52264 2663 168 80 80 CD A52264 2663 169 1 1 CD A52264 2663 170 11 11 CD A52264 2663 171 10 10 CD A52264 2663 172 67 67 CD A52264 2663 173 19 19 CD A52264 2663 174 47 47 CD A52264 2663 175 23 23 CD A52264 2663 176 46 46 CD A52264 2663 177 21 21 CD A52264 2663 178 25 25 CD A52264 2663 179 13 13 CD A52264 2663 180 41 41 CD A52264 2663 181 2 2 CD A52264 2663 182 18 18 CD A52264 2663 183 9 9 CD A52264 2663 184 40 40 CD A52264 2663 185 19 19 CD A52264 2663 186 15 15 CD A52264 2663 187 23 23 CD A52264 2663 188 46 46 CD A52264 2663 189 8 8 CD A52264 2663 190 20 20 CD A52264 2663 191 48 48 CD A52264 2663 192 11 11 CD A52264 2663 193 43 43 CD A52264 2663 194 0 0 CD A52264 2663 195 72 72 CD A52264 2663 196 11 11 CD A52264 2663 197 02 02 CD A52264 2663 198 19 19 CD A52264 2663 199 68 68 CD A52264 2663 200 23 23 CD A52264 2663 201 50 50 CD A52264 2663 202 21 21 CD A52264 2663 203 07 07 CD A52264 2663 204 13 13 CD A52264 2663 205 08 08 CD A52264 2663 206 1 1 CD A52264 2663 207 80 80 CD A52264 2663 208 9 9 CD A52264 2663 209 76 76 CD A52264 2663 210 19 19 CD A52264 2663 211 40 40 CD A52264 2663 212 23 23 CD A52264 2663 213 48 48 CD A52264 2663 214 9 9 CD A52264 2663 215 20 20 CD A52264 2663 216 27 27 CD A52264 2663 217 11 11 CD A52264 2663 218 08 08 CD A52264 2663 219 0 0 CD A52264 2663 220 33 33 CD A52264 2663 221 11 11 CD A52264 2663 222 36 36 CD A52264 2663 223 19 19 CD A52264 2663 224 90 90 CD A52264 2663 225 23 23 CD A52264 2663 226 51 51 CD A52264 2663 227 20 20 CD A52264 2663 228 90 90 CD A52264 2663 229 12 12 CD A52264 2663 230 76 76 CD A52264 2663 231 1 1 CD A52264 2663 232 40 40 CD A52264 2663 233 10 10 CD A52264 2663 234 13 13 CD A52264 2663 235 19 19 CD A52264 2663 236 63 63 CD A52264 2663 237 23 23 CD A52264 2663 238 50 50 CD A52264 2663 239 10 10 CD A52264 2663 240 20 20 CD A52264 2663 241 05 05 CD A52264 2663 242 10 10 CD A52264 2663 243 72 72 CD A52264 2663 244 0 0 CD A52264 2663 245 06 06 CD A52264 2663 246 11 11 CD A52264 2663 247 70 70 CD A52264 2663 248 20 20 CD A52264 2663 249 11 11 CD A52264 2663 250 23 23 CD A52264 2663 251 52 52 CD A52264 2663 252 20 20 CD A52264 2663 253 71 71 CD A52264 2663 254 12 12 CD A52264 2663 255 43 43 CD A52264 2663 256 1 1 CD A52264 2663 257 01 01 CD A52264 2663 258 10 10 CD A52264 2663 259 48 48 CD A52264 2663 260 19 19 CD A52264 2663 261 86 86 CD A52264 2663 262 23 23 CD A52264 2663 263 51 51 CD A52264 2663 264 11 11 CD A52264 2663 265 19 19 CD A52264 2663 266 82 82 CD A52264 2663 267 10 10 CD A52264 2663 268 37 37 CD A52264 2663 269 N n CD A52264 2663 270 47 47 CD A52264 2663 271 12 12 CD A52264 2663 272 05 05 CD A52264 2663 273 20 20 CD A52264 2663 274 31 31 CD A52264 2663 275 23 23 CD A52264 2663 276 53 53 CD A52264 2663 277 20 20 CD A52264 2663 278 51 51 CD A52264 2663 279 12 12 CD A52264 2663 280 10 10 CD A52264 2663 281 0 0 CD A52264 2663 282 63 63 CD A52264 2663 283 10 10 CD A52264 2663 284 85 85 CD A52264 2663 285 20 20 CD A52264 2663 286 08 08 CD A52264 2663 287 23 23 CD A52264 2663 288 53 53 CD A52264 2663 289 12 12 CD A52264 2663 290 19 19 CD A52264 2663 291 58 58 CD A52264 2663 292 09 09 CD A52264 2663 293 83 83 CD A52264 2663 294 0 0 CD A52264 2663 295 85 85 CD A52264 2663 296 12 12 CD A52264 2663 297 38 38 CD A52264 2663 298 20 20 CD A52264 2663 299 51 51 CD A52264 2663 300 23 23 CD A52264 2663 301 52 52 CD A52264 2663 302 20 20 CD A52264 2663 303 31 31 CD A52264 2663 304 11 11 CD A52264 2663 305 76 76 CD A52264 2663 306 0 0 CD A52264 2663 307 23 23 CD A52264 2663 308 11 11 CD A52264 2663 309 20 20 CD A52264 2663 310 20 20 CD A52264 2663 311 30 30 CD A52264 2663 312 23 23 CD A52264 2663 313 51 51 CD A52264 2663 314 13 13 CD A52264 2663 315 19 19 CD A52264 2663 316 35 35 CD A52264 2663 317 09 09 CD A52264 2663 318 63 63 CD A52264 2663 319 1 1 CD A52264 2663 320 25 25 CD A52264 2663 321 12 12 CD A52264 2663 322 72 72 CD A52264 2663 323 20 20 CD A52264 2663 324 70 70 CD A52264 2663 325 23 23 CD A52264 2663 326 51 51 CD A52264 2663 327 20 20 CD A52264 2663 328 11 11 CD A52264 2663 329 11 11 CD A52264 2663 330 43 43 CD A52264 2663 331 0 0 CD A52264 2663 332 ● ● CD A52264 2663 333 16 16 CD A52264 2663 334 11 11 CD A52264 2663 335 57 57 CD A52264 2663 336 20 20 CD A52264 2663 337 51 51 CD A52264 2663 338 23 23 CD A52264 2663 339 51 51 CD A52264 2663 340 14 14 CD A52264 2663 341 19 19 CD A52264 2663 342 11 11 CD A52264 2663 343 09 09 CD A52264 2663 344 25 25 CD A52264 2663 345 1 1 CD A52264 2663 346 65 65 CD A52264 2663 347 13 13 CD A52264 2663 348 05 05 CD A52264 2663 349 20 20 CD A52264 2663 350 88 88 CD A52264 2663 351 23 23 CD A52264 2663 352 50 50 CD A52264 2663 353 19 19 CD A52264 2663 354 90 90 CD A52264 2663 355 11 11 CD A52264 2663 356 08 08 CD A52264 2663 357 0 0 CD A52264 2663 358 55 55 CD A52264 2663 359 11 11 CD A52264 2663 360 91 91 CD A52264 2663 361 20 20 CD A52264 2663 362 71 71 CD A52264 2663 363 23 23 CD A52264 2663 364 48 48 CD A52264 2663 365 15 15 CD A52264 2663 366 18 18 CD A52264 2663 367 86 86 CD A52264 2663 368 08 08 CD A52264 2663 369 88 88 CD A52264 2663 370 2 2 CD A52264 2663 371 03 03 CD A52264 2663 372 13 13 CD A52264 2663 373 36 36 CD A52264 2663 374 21 21 CD A52264 2663 375 06 06 CD A52264 2663 376 23 23 CD A52264 2663 377 46 46 CD A52264 2663 378 19 19 CD A52264 2663 379 68 68 CD A52264 2663 380 10 10 CD A52264 2663 381 73 73 CD A52264 2663 382 0 0 CD A52264 2663 383 95 95 CD A52264 2663 384 12 12 CD A52264 2663 385 25 25 CD A52264 2663 386 20 20 CD A52264 2663 387 91 91 CD A52264 2663 388 23 23 CD A52264 2663 389 46 46 CD A52264 2663 390 16 16 CD A52264 2663 391 18 18 CD A52264 2663 392 61 61 CD A52264 2663 393 08 08 CD A52264 2663 394 52 52 CD A52264 2663 395 2 2 CD A52264 2663 396 41 41 CD A52264 2663 397 13 13 CD A52264 2663 398 68 68 CD A52264 2663 399 21 21 CD A52264 2663 400 25 25 CD A52264 2663 401 23 23 CD A52264 2663 402 43 43 CD A52264 2663 403 19 19 CD A52264 2663 404 47 47 CD A52264 2663 405 10 10 CD A52264 2663 406 38 38 CD A52264 2663 407 1 1 CD A52264 2663 408 33 33 CD A52264 2663 409 12 12 CD A52264 2663 410 60 60 CD A52264 2663 411 21 21 CD A52264 2663 412 10 10 CD A52264 2663 413 23 23 CD A52264 2663 414 43 43 CD A52264 2663 415 17 17 CD A52264 2663 416 18 18 CD A52264 2663 417 35 35 CD A52264 2663 418 08 08 CD A52264 2663 419 13 13 CD A52264 2663 420 2 2 CD A52264 2663 421 82 82 CD A52264 2663 422 14 14 CD A52264 2663 423 00 00 CD A52264 2663 424 21 21 CD A52264 2663 425 41 41 CD A52264 2663 426 23 23 CD A52264 2663 427 40 40 CD A52264 2663 428 19 19 CD A52264 2663 429 25 25 CD A52264 2663 430 10 10 CD A52264 2663 431 03 03 CD A52264 2663 432 1 1 CD A52264 2663 433 73 73 CD A52264 2663 434 12 12 CD A52264 2663 435 95 95 CD A52264 2663 436 21 21 CD A52264 2663 437 28 28 CD A52264 2663 438 23 23 CD A52264 2663 439 28 28 CD A52264 2663 440 18 18 CD A52264 2663 441 18 18 CD A52264 2663 442 08 08 CD A52264 2663 443 07 07 CD A52264 2663 444 75 75 CD A52264 2663 445 3 3 CD A52264 2663 446 20 20 CD A52264 2663 447 14 14 CD A52264 2663 448 31 31 CD A52264 2663 449 21 21 CD A52264 2663 450 58 58 CD A52264 2663 451 23 23 CD A52264 2663 452 35 35 CD A52264 2663 453 19 19 CD A52264 2663 454 01 01 CD A52264 2663 455 09 09 CD A52264 2663 456 68 68 CD A52264 2663 457 2 2 CD A52264 2663 458 11 11 CD A52264 2663 459 13 13 CD A52264 2663 460 28 28 CD A52264 2663 461 21 21 CD A52264 2663 462 46 46 CD A52264 2663 463 23 23 CD A52264 2663 464 33 33 CD A52264 2663 465 19 19 CD A52264 2663 466 17 17 CD A52264 2663 467 81 81 CD A52264 2663 468 07 07 CD A52264 2663 469 37 37 CD A52264 2663 470 3 3 CD A52264 2663 471 60 60 CD A52264 2663 472 14 14 CD A52264 2663 473 63 63 CD A52264 2663 474 21 21 CD A52264 2663 475 73 73 CD A52264 2663 476 23 23 CD A52264 2663 477 30 30 CD A52264 2663 478 18 18 CD A52264 2663 479 78 78 CD A52264 2663 480 09 09 CD A52264 2663 481 33 33 CD A52264 2663 482 2 2 CD A52264 2663 483 51 51 CD A52264 2663 484 13 13 CD A52264 2663 485 61 61 CD A52264 2663 486 21 21 CD A52264 2663 487 63 63 CD A52264 2663 488 23 23 CD A52264 2663 489 28 28 CD A52264 2663 490 20 20 CD A52264 2663 491 17 17 CD A52264 2663 492 53 53 CD A52264 2663 493 06 06 CD A52264 2663 494 98 98 CD A52264 2663 495 3 3 CD A52264 2663 496 98 98 CD A52264 2663 497 14 14 CD A52264 2663 498 93 93 CD A52264 2663 499 21 21 CD A52264 2663 500 88 88 CD A52264 2663 501 23 23 CD A52264 2663 502 25 25 CD A52264 2663 503 18 18 CD A52264 2663 504 55 55 CD A52264 2663 505 08 08 CD A52264 2663 506 96 96 CD A52264 2663 507 2 2 CD A52264 2663 508 90 90 CD A52264 2663 509 13 13 CD A52264 2663 510 95 95 CD A52264 2663 511 21 21 CD A52264 2663 512 80 80 CD A52264 2663 513 23 23 CD A52264 2663 514 21 21 CD A52264 2663 515 21 21 CD A52264 2663 516 17 17 CD A52264 2663 517 25 25 CD A52264 2663 518 06 06 CD A52264 2663 519 60 60 CD A52264 2663 520 4 4 CD A52264 2663 521 37 37 CD A52264 2663 522 15 15 CD A52264 2663 523 23 23 CD A52264 2663 524 22 22 CD A52264 2663 525 03 03 CD A52264 2663 526 23 23 CD A52264 2663 527 18 18 CD A52264 2663 528 18 18 CD A52264 2663 529 30 30 CD A52264 2663 530 08 08 CD A52264 2663 531 60 60 CD A52264 2663 532 3 3 CD A52264 2663 533 30 30 CD A52264 2663 534 14 14 CD A52264 2663 535 26 26 CD A52264 2663 536 21 21 CD A52264 2663 537 95 95 CD A52264 2663 538 23 23 CD A52264 2663 539 13 13 CD A52264 2663 540 22 22 CD A52264 2663 541 16 16 CD A52264 2663 542 96 96 CD A52264 2663 543 06 06 CD A52264 2663 544 22 22 CD A52264 2663 545 4 4 CD A52264 2663 546 75 75 CD A52264 2663 547 15 15 CD A52264 2663 548 53 53 CD A52264 2663 549 22 22 CD A52264 2663 550 16 16 CD A52264 2663 551 23 23 CD A52264 2663 552 10 10 CD A52264 2663 553 18 18 CD A52264 2663 554 05 05 CD A52264 2663 555 08 08 CD A52264 2663 556 25 25 CD A52264 2663 557 3 3 CD A52264 2663 558 68 68 CD A52264 2663 559 14 14 CD A52264 2663 560 60 60 CD A52264 2663 561 22 22 CD A52264 2663 562 10 10 CD A52264 2663 563 23 23 CD A52264 2663 564 05 05 CD A52264 2663 565 23 23 CD A52264 2663 566 16 16 CD A52264 2663 567 68 68 CD A52264 2663 568 05 05 CD A52264 2663 569 83 83 CD A52264 2663 570 5 5 CD A52264 2663 571 13 13 CD A52264 2663 572 15 15 CD A52264 2663 573 83 83 CD A52264 2663 574 22 22 CD A52264 2663 575 30 30 CD A52264 2663 576 23 23 CD A52264 2663 577 03 03 CD A52264 2663 578 17 17 CD A52264 2663 579 78 78 CD A52264 2663 580 07 07 CD A52264 2663 581 88 88 CD A52264 2663 582 4 4 CD A52264 2663 583 06 06 CD A52264 2663 584 14 14 CD A52264 2663 585 91 91 CD A52264 2663 586 22 22 CD A52264 2663 587 25 25 CD A52264 2663 588 22 22 CD A52264 2663 589 96 96 CD A52264 2663 590 24 24 CD A52264 2663 591 16 16 CD A52264 2663 592 38 38 CD A52264 2663 593 05 05 CD A52264 2663 594 45 45 CD A52264 2663 595 5 5 CD A52264 2663 596 51 51 CD A52264 2663 597 16 16 CD A52264 2663 598 13 13 CD A52264 2663 599 22 22 CD A52264 2663 600 41 41 CD A52264 2663 601 22 22 CD A52264 2663 602 95 95 CD A52264 2663 603 17 17 CD A52264 2663 604 53 53 CD A52264 2663 605 07 07 CD A52264 2663 606 51 51 CD A52264 2663 607 4 4 CD A52264 2663 608 46 46 CD A52264 2663 609 15 15 CD A52264 2663 610 23 23 CD A52264 2663 611 22 22 CD A52264 2663 612 38 38 CD A52264 2663 613 22 22 CD A52264 2663 614 86 86 CD A52264 2663 615 25 25 CD A52264 2663 616 16 16 CD A52264 2663 617 08 08 CD A52264 2663 618 05 05 CD A52264 2663 619 07 07 CD A52264 2663 620 5 5 CD A52264 2663 621 90 90 CD A52264 2663 622 16 16 CD A52264 2663 623 41 41 CD A52264 2663 624 22 22 CD A52264 2663 625 53 53 CD A52264 2663 626 22 22 CD A52264 2663 627 85 85 CD A52264 2663 628 17 17 CD A52264 2663 629 26 26 CD A52264 2663 630 07 07 CD A52264 2663 631 ● ● CD A52264 2663 632 5 5 CD A52264 2663 633 4 4 CD A52264 2663 634 85 85 CD A52264 2663 635 15 15 CD A52264 2663 636 55 55 CD A52264 2663 637 22 22 CD A52264 2663 638 51 51 CD A52264 2663 639 22 22 CD A52264 2663 640 76 76 CD A52264 2663 641 26 26 CD A52264 2663 642 15 15 CD A52264 2663 643 78 78 CD A52264 2663 644 04 04 CD A52264 2663 645 67 67 CD A52264 2663 646 6 6 CD A52264 2663 647 28 28 CD A52264 2663 648 16 16 CD A52264 2663 649 70 70 CD A52264 2663 650 22 22 CD A52264 2663 651 65 65 CD A52264 2663 652 22 22 CD A52264 2663 653 75 75 CD A52264 2663 654 17 17 CD A52264 2663 655 00 00 CD A52264 2663 656 06 06 CD A52264 2663 657 76 76 CD A52264 2663 658 5 5 CD A52264 2663 659 23 23 CD A52264 2663 660 15 15 CD A52264 2663 661 85 85 CD A52264 2663 662 22 22 CD A52264 2663 663 63 63 CD A52264 2663 664 22 22 CD A52264 2663 665 65 65 CD A52264 2663 666 27 27 CD A52264 2663 667 15 15 CD A52264 2663 668 46 46 CD A52264 2663 669 04 04 CD A52264 2663 670 28 28 CD A52264 2663 671 6 6 CD A52264 2663 672 67 67 CD A52264 2663 673 16 16 CD A52264 2663 674 97 97 CD A52264 2663 675 22 22 CD A52264 2663 676 75 75 CD A52264 2663 677 22 22 CD A52264 2663 678 65 65 CD A52264 2663 679 16 16 CD A52264 2663 680 71 71 CD A52264 2663 681 06 06 CD A52264 2663 682 40 40 CD A52264 2663 683 5 5 CD A52264 2663 684 63 63 CD A52264 2663 685 16 16 CD A52264 2663 686 15 15 CD A52264 2663 687 22 22 CD A52264 2663 688 75 75 CD A52264 2663 689 22 22 CD A52264 2663 690 53 53 CD A52264 2663 691 28 28 CD A52264 2663 692 15 15 CD A52264 2663 693 15 15 CD A52264 2663 694 03 03 CD A52264 2663 695 88 88 CD A52264 2663 696 7 7 CD A52264 2663 697 03 03 CD A52264 2663 698 17 17 CD A52264 2663 699 23 23 CD A52264 2663 700 22 22 CD A52264 2663 701 85 85 CD A52264 2663 702 22 22 CD A52264 2663 703 53 53 CD A52264 2663 704 16 16 CD A52264 2663 705 43 43 CD A52264 2663 706 06 06 CD A52264 2663 707 01 01 CD A52264 2663 708 6 6 CD A52264 2663 709 00 00 CD A52264 2663 710 16 16 CD A52264 2663 711 45 45 CD A52264 2663 712 22 22 CD A52264 2663 713 85 85 CD A52264 2663 714 22 22 CD A52264 2663 715 40 40 CD A52264 2663 716 29 29 CD A52264 2663 717 14 14 CD A52264 2663 718 83 83 CD A52264 2663 719     _SP A52264 2663 720 7 7 CD A52264 2663 721 41 41 CD A52264 2663 722 17 17 CD A52264 2663 723 50 50 CD A52264 2663 724 22 22 CD A52264 2663 725 95 95 CD A52264 2663 726 22 22 CD A52264 2663 727 41 41 CD A52264 2663 728 15 15 CD A52264 2663 729 86 86 CD A52264 2663 730 05 05 CD A52264 2663 731 26 26 CD A52264 2663 732 6 6 CD A52264 2663 733 76 76 CD A52264 2663 734 17 17 CD A52264 2663 735 03 03 CD A52264 2663 736 23 23 CD A52264 2663 737 05 05 CD A52264 2663 738 22 22 CD A52264 2663 739 11 11 CD A52264 2663 740 30 30 CD A52264 2663 741 14 14 CD A52264 2663 742 51 51 CD A52264 2663 743     _SP A52264 2663 744 7 7 CD A52264 2663 745 78 78 CD A52264 2663 746 17 17 CD A52264 2663 747 77 77 CD A52264 2663 748 23 23 CD A52264 2663 749 ● ● CD A52264 2663 750 3 3 CD A52264 2663 751 22 22 CD A52264 2663 752 30 30 CD A52264 2663 753 15 15 CD A52264 2663 754 86 86 CD A52264 2663 755 05 05 CD A52264 2663 756 26 26 CD A52264 2663 757 6 6 CD A52264 2663 758 76 76 CD A52264 2663 759 17 17 CD A52264 2663 760 03 03 CD A52264 2663 761 23 23 CD A52264 2663 762 05 05 CD A52264 2663 763 22 22 CD A52264 2663 764 11 11 CD A52264 2663 765 31 31 CD A52264 2663 766 14 14 CD A52264 2663 767 18 18 CD A52264 2663 768     _SP A52264 2663 769 8 8 CD A52264 2663 770 15 15 CD A52264 2663 771     _SP A52264 2663 772 23 23 CD A52264 2663 773 77 77 CD A52264 2663 774     _SP A52264 2663 775 15 15 CD A52264 2663 776 56 56 CD A52264 2663 777 04 04 CD A52264 2663 778 88 88 CD A52264 2663 779     _SP A52264 2663 780 17 17 CD A52264 2663 781 31 31 CD A52264 2663 782     _SP A52264 2663 783 21 21 CD A52264 2663 784 96 96 CD A52264 2663 785 A a DT A52264 2663 786 Table table NN A52264 2663 787 of of IN A52264 2663 788 the the DT A52264 2663 789 Suns Suns NNPS A52264 2663 790 Declination Declination NNP A52264 2663 791 , , , A52264 2663 792 for for IN A52264 2663 793 the the DT A52264 2663 794 years year NNS A52264 2663 795 1655 1655 CD A52264 2663 796 , , , A52264 2663 797 1659 1659 CD A52264 2663 798 , , , A52264 2663 799 1663 1663 CD A52264 2663 800 , , , A52264 2663 801 1667 1667 CD A52264 2663 802 . . . A52264 2664 1 Ianu Ianu NNP A52264 2664 2 . . . A52264 2665 1 Febr Febr NNP A52264 2665 2 . . . A52264 2666 1 Mar Mar NNP A52264 2666 2 Apr. April NNP A52264 2667 1 May. May NNP A52264 2668 1 June June NNP A52264 2668 2 July July NNP A52264 2668 3 . . . A52264 2669 1 Aug. August NNP A52264 2669 2 Sep. September NNP A52264 2669 3 Octo Octo NNP A52264 2669 4 . . . A52264 2670 1 Nov Nov NNP A52264 2670 2 Dec. December NNP A52264 2670 3 Dayes Dayes NNP A52264 2670 4 . . . A52264 2671 1 south south NNP A52264 2671 2 south south NNP A52264 2671 3 sout sout NNP A52264 2671 4 north north NNP A52264 2671 5 north north NNP A52264 2671 6 north north NNP A52264 2671 7 north north NNP A52264 2671 8 north north NNP A52264 2671 9 nort nort NNP A52264 2671 10 south south NNP A52264 2671 11 south south NNP A52264 2671 12 south south NNP A52264 2671 13 1 1 CD A52264 2671 14 21 21 CD A52264 2671 15 81 81 CD A52264 2671 16 13 13 CD A52264 2671 17 93 93 CD A52264 2671 18 3 3 CD A52264 2671 19 58 58 CD A52264 2671 20 08 08 CD A52264 2671 21 43 43 CD A52264 2671 22 17 17 CD A52264 2671 23 96 96 CD A52264 2671 24 23 23 CD A52264 2671 25 16 16 CD A52264 2671 26 22 22 CD A52264 2671 27 20 20 CD A52264 2671 28 15 15 CD A52264 2671 29 35 35 CD A52264 2671 30 4 4 CD A52264 2671 31 58 58 CD A52264 2671 32 7 7 CD A52264 2671 33 06 06 CD A52264 2671 34 17 17 CD A52264 2671 35 53 53 CD A52264 2671 36 23 23 CD A52264 2671 37 10 10 CD A52264 2671 38 2 2 CD A52264 2671 39 21 21 CD A52264 2671 40 65 65 CD A52264 2671 41 13 13 CD A52264 2671 42 60 60 CD A52264 2671 43 3 3 CD A52264 2671 44 18 18 CD A52264 2671 45 08 08 CD A52264 2671 46 80 80 CD A52264 2671 47 18 18 CD A52264 2671 48 21 21 CD A52264 2671 49 23 23 CD A52264 2671 50 23 23 CD A52264 2671 51 22 22 CD A52264 2671 52 06 06 CD A52264 2671 53 15 15 CD A52264 2671 54 05 05 CD A52264 2671 55 4 4 CD A52264 2671 56 20 20 CD A52264 2671 57 7 7 CD A52264 2671 58 43 43 CD A52264 2671 59 17 17 CD A52264 2671 60 80 80 CD A52264 2671 61 23 23 CD A52264 2671 62 18 18 CD A52264 2671 63 3 3 CD A52264 2671 64 21 21 CD A52264 2671 65 48 48 CD A52264 2671 66 13 13 CD A52264 2671 67 26 26 CD A52264 2671 68 2 2 CD A52264 2671 69 80 80 CD A52264 2671 70 09 09 CD A52264 2671 71 15 15 CD A52264 2671 72 18 18 CD A52264 2671 73 46 46 CD A52264 2671 74 23 23 CD A52264 2671 75 30 30 CD A52264 2671 76 21 21 CD A52264 2671 77 91 91 CD A52264 2671 78 14 14 CD A52264 2671 79 75 75 CD A52264 2671 80 3 3 CD A52264 2671 81 81 81 CD A52264 2671 82 7 7 CD A52264 2671 83 81 81 CD A52264 2671 84 18 18 CD A52264 2671 85 06 06 CD A52264 2671 86 23 23 CD A52264 2671 87 25 25 CD A52264 2671 88 4 4 CD A52264 2671 89 21 21 CD A52264 2671 90 30 30 CD A52264 2671 91 12 12 CD A52264 2671 92 91 91 CD A52264 2671 93 2 2 CD A52264 2671 94 40 40 CD A52264 2671 95 09 09 CD A52264 2671 96 51 51 CD A52264 2671 97 18 18 CD A52264 2671 98 71 71 CD A52264 2671 99 23 23 CD A52264 2671 100 35 35 CD A52264 2671 101 21 21 CD A52264 2671 102 76 76 CD A52264 2671 103 14 14 CD A52264 2671 104 43 43 CD A52264 2671 105 3 3 CD A52264 2671 106 43 43 CD A52264 2671 107 8 8 CD A52264 2671 108 20 20 CD A52264 2671 109 18 18 CD A52264 2671 110 33 33 CD A52264 2671 111 23 23 CD A52264 2671 112 31 31 CD A52264 2671 113 5 5 CD A52264 2671 114 21 21 CD A52264 2671 115 11 11 CD A52264 2671 116 12 12 CD A52264 2671 117 58 58 CD A52264 2671 118 2 2 CD A52264 2671 119 00 00 CD A52264 2671 120 09 09 CD A52264 2671 121 88 88 CD A52264 2671 122 18 18 CD A52264 2671 123 95 95 CD A52264 2671 124 23 23 CD A52264 2671 125 40 40 CD A52264 2671 126 21 21 CD A52264 2671 127 61 61 CD A52264 2671 128 14 14 CD A52264 2671 129 13 13 CD A52264 2671 130 3 3 CD A52264 2671 131 05 05 CD A52264 2671 132 8 8 CD A52264 2671 133 56 56 CD A52264 2671 134 18 18 CD A52264 2671 135 60 60 CD A52264 2671 136 23 23 CD A52264 2671 137 36 36 CD A52264 2671 138 6 6 CD A52264 2671 139 20 20 CD A52264 2671 140 93 93 CD A52264 2671 141 12 12 CD A52264 2671 142 23 23 CD A52264 2671 143 1 1 CD A52264 2671 144 61 61 CD A52264 2671 145 10 10 CD A52264 2671 146 23 23 CD A52264 2671 147 19 19 CD A52264 2671 148 18 18 CD A52264 2671 149 23 23 CD A52264 2671 150 43 43 CD A52264 2671 151 21 21 CD A52264 2671 152 45 45 CD A52264 2671 153 13 13 CD A52264 2671 154 81 81 CD A52264 2671 155 2 2 CD A52264 2671 156 66 66 CD A52264 2671 157 8 8 CD A52264 2671 158 93 93 CD A52264 2671 159 18 18 CD A52264 2671 160 85 85 CD A52264 2671 161 23 23 CD A52264 2671 162 41 41 CD A52264 2671 163 7 7 CD A52264 2671 164 20 20 CD A52264 2671 165 73 73 CD A52264 2671 166 11 11 CD A52264 2671 167 88 88 CD A52264 2671 168 1 1 CD A52264 2671 169 21 21 CD A52264 2671 170 10 10 CD A52264 2671 171 58 58 CD A52264 2671 172 19 19 CD A52264 2671 173 41 41 CD A52264 2671 174 23 23 CD A52264 2671 175 46 46 CD A52264 2671 176 21 21 CD A52264 2671 177 28 28 CD A52264 2671 178 13 13 CD A52264 2671 179 50 50 CD A52264 2671 180 2 2 CD A52264 2671 181 28 28 CD A52264 2671 182 9 9 CD A52264 2671 183 30 30 CD A52264 2671 184 19 19 CD A52264 2671 185 10 10 CD A52264 2671 186 23 23 CD A52264 2671 187 45 45 CD A52264 2671 188 8 8 CD A52264 2671 189 20 20 CD A52264 2671 190 53 53 CD A52264 2671 191 11 11 CD A52264 2671 192 53 53 CD A52264 2671 193 0 0 CD A52264 2671 194 81 81 CD A52264 2671 195 10 10 CD A52264 2671 196 93 93 CD A52264 2671 197 19 19 CD A52264 2671 198 63 63 CD A52264 2671 199 23 23 CD A52264 2671 200 48 48 CD A52264 2671 201 21 21 CD A52264 2671 202 11 11 CD A52264 2671 203 13 13 CD A52264 2671 204 16 16 CD A52264 2671 205 1 1 CD A52264 2671 206 88 88 CD A52264 2671 207 9 9 CD A52264 2671 208 66 66 CD A52264 2671 209 19 19 CD A52264 2671 210 33 33 CD A52264 2671 211 23 23 CD A52264 2671 212 48 48 CD A52264 2671 213 9 9 CD A52264 2671 214 20 20 CD A52264 2671 215 32 32 CD A52264 2671 216 11 11 CD A52264 2671 217 16 16 CD A52264 2671 218 0 0 CD A52264 2671 219 43 43 CD A52264 2671 220 11 11 CD A52264 2671 221 28 28 CD A52264 2671 222 19 19 CD A52264 2671 223 85 85 CD A52264 2671 224 23 23 CD A52264 2671 225 50 50 CD A52264 2671 226 20 20 CD A52264 2671 227 93 93 CD A52264 2671 228 12 12 CD A52264 2671 229 85 85 CD A52264 2671 230 1 1 CD A52264 2671 231 50 50 CD A52264 2671 232 10 10 CD A52264 2671 233 03 03 CD A52264 2671 234 19 19 CD A52264 2671 235 56 56 CD A52264 2671 236 23 23 CD A52264 2671 237 50 50 CD A52264 2671 238 10 10 CD A52264 2671 239 20 20 CD A52264 2671 240 10 10 CD A52264 2671 241 10 10 CD A52264 2671 242 81 81 CD A52264 2671 243 ● ● CD A52264 2671 244 ● ● CD A52264 2671 245 03 03 CD A52264 2671 246 11 11 CD A52264 2671 247 61 61 CD A52264 2671 248 20 20 CD A52264 2671 249 06 06 CD A52264 2671 250 23 23 CD A52264 2671 251 51 51 CD A52264 2671 252 20 20 CD A52264 2671 253 75 75 CD A52264 2671 254 12 12 CD A52264 2671 255 51 51 CD A52264 2671 256 1 1 CD A52264 2671 257 10 10 CD A52264 2671 258 10 10 CD A52264 2671 259 40 40 CD A52264 2671 260 19 19 CD A52264 2671 261 80 80 CD A52264 2671 262 23 23 CD A52264 2671 263 51 51 CD A52264 2671 264 11 11 CD A52264 2671 265 19 19 CD A52264 2671 266 88 88 CD A52264 2671 267 10 10 CD A52264 2671 268 45 45 CD A52264 2671 269 0 0 CD A52264 2671 270 36 36 CD A52264 2671 271 11 11 CD A52264 2671 272 96 96 CD A52264 2671 273 20 20 CD A52264 2671 274 26 26 CD A52264 2671 275 23 23 CD A52264 2671 276 53 53 CD A52264 2671 277 20 20 CD A52264 2671 278 56 56 CD A52264 2671 279 12 12 CD A52264 2671 280 18 18 CD A52264 2671 281 0 0 CD A52264 2671 282 71 71 CD A52264 2671 283 10 10 CD A52264 2671 284 76 76 CD A52264 2671 285 20 20 CD A52264 2671 286 03 03 CD A52264 2671 287 23 23 CD A52264 2671 288 53 53 CD A52264 2671 289 12 12 CD A52264 2671 290 19 19 CD A52264 2671 291 65 65 CD A52264 2671 292 10 10 CD A52264 2671 293 08 08 CD A52264 2671 294 0 0 CD A52264 2671 295 76 76 CD A52264 2671 296 12 12 CD A52264 2671 297 30 30 CD A52264 2671 298 20 20 CD A52264 2671 299 46 46 CD A52264 2671 300 23 23 CD A52264 2671 301 51 51 CD A52264 2671 302 20 20 CD A52264 2671 303 36 36 CD A52264 2671 304 11 11 CD A52264 2671 305 85 85 CD A52264 2671 306 0 0 CD A52264 2671 307 33 33 CD A52264 2671 308 11 11 CD A52264 2671 309 11 11 CD A52264 2671 310 20 20 CD A52264 2671 311 25 25 CD A52264 2671 312 23 23 CD A52264 2671 313 52 52 CD A52264 2671 314 13 13 CD A52264 2671 315 19 19 CD A52264 2671 316 41 41 CD A52264 2671 317 09 09 CD A52264 2671 318 71 71 CD A52264 2671 319 1 1 CD A52264 2671 320 15 15 CD A52264 2671 321 12 12 CD A52264 2671 322 63 63 CD A52264 2671 323 20 20 CD A52264 2671 324 66 66 CD A52264 2671 325 23 23 CD A52264 2671 326 51 51 CD A52264 2671 327 20 20 CD A52264 2671 328 16 16 CD A52264 2671 329 11 11 CD A52264 2671 330 51 51 CD A52264 2671 331 0 0 CD A52264 2671 332 ● ● CD A52264 2671 333 06 06 CD A52264 2671 334 11 11 CD A52264 2671 335 46 46 CD A52264 2671 336 20 20 CD A52264 2671 337 46 46 CD A52264 2671 338 23 23 CD A52264 2671 339 51 51 CD A52264 2671 340 14 14 CD A52264 2671 341 19 19 CD A52264 2671 342 16 16 CD A52264 2671 343 09 09 CD A52264 2671 344 35 35 CD A52264 2671 345 1 1 CD A52264 2671 346 55 55 CD A52264 2671 347 12 12 CD A52264 2671 348 96 96 CD A52264 2671 349 20 20 CD A52264 2671 350 85 85 CD A52264 2671 351 23 23 CD A52264 2671 352 50 50 CD A52264 2671 353 19 19 CD A52264 2671 354 95 95 CD A52264 2671 355 11 11 CD A52264 2671 356 16 16 CD A52264 2671 357 0 0 CD A52264 2671 358 46 46 CD A52264 2671 359 11 11 CD A52264 2671 360 81 81 CD A52264 2671 361 20 20 CD A52264 2671 362 66 66 CD A52264 2671 363 23 23 CD A52264 2671 364 50 50 CD A52264 2671 365 15 15 CD A52264 2671 366 18 18 CD A52264 2671 367 92 92 CD A52264 2671 368 08 08 CD A52264 2671 369 96 96 CD A52264 2671 370 1 1 CD A52264 2671 371 93 93 CD A52264 2671 372 13 13 CD A52264 2671 373 28 28 CD A52264 2671 374 21 21 CD A52264 2671 375 03 03 CD A52264 2671 376 23 23 CD A52264 2671 377 48 48 CD A52264 2671 378 19 19 CD A52264 2671 379 75 75 CD A52264 2671 380 10 10 CD A52264 2671 381 81 81 CD A52264 2671 382 0 0 CD A52264 2671 383 85 85 CD A52264 2671 384 12 12 CD A52264 2671 385 16 16 CD A52264 2671 386 20 20 CD A52264 2671 387 86 86 CD A52264 2671 388 23 23 CD A52264 2671 389 46 46 CD A52264 2671 390 16 16 CD A52264 2671 391 18 18 CD A52264 2671 392 67 67 CD A52264 2671 393 08 08 CD A52264 2671 394 60 60 CD A52264 2671 395 2 2 CD A52264 2671 396 33 33 CD A52264 2671 397 13 13 CD A52264 2671 398 61 61 CD A52264 2671 399 21 21 CD A52264 2671 400 20 20 CD A52264 2671 401 23 23 CD A52264 2671 402 45 45 CD A52264 2671 403 19 19 CD A52264 2671 404 53 53 CD A52264 2671 405 10 10 CD A52264 2671 406 65 65 CD A52264 2671 407 1 1 CD A52264 2671 408 25 25 CD A52264 2671 409 12 12 CD A52264 2671 410 51 51 CD A52264 2671 411 21 21 CD A52264 2671 412 06 06 CD A52264 2671 413 23 23 CD A52264 2671 414 43 43 CD A52264 2671 415 17 17 CD A52264 2671 416 18 18 CD A52264 2671 417 41 41 CD A52264 2671 418 08 08 CD A52264 2671 419 23 23 CD A52264 2671 420 2 2 CD A52264 2671 421 71 71 CD A52264 2671 422 13 13 CD A52264 2671 423 93 93 CD A52264 2671 424 21 21 CD A52264 2671 425 38 38 CD A52264 2671 426 23 23 CD A52264 2671 427 41 41 CD A52264 2671 428 19 19 CD A52264 2671 429 30 30 CD A52264 2671 430 10 10 CD A52264 2671 431 13 13 CD A52264 2671 432 1 1 CD A52264 2671 433 63 63 CD A52264 2671 434 12 12 CD A52264 2671 435 86 86 CD A52264 2671 436 21 21 CD A52264 2671 437 25 25 CD A52264 2671 438 23 23 CD A52264 2671 439 40 40 CD A52264 2671 440 18 18 CD A52264 2671 441 18 18 CD A52264 2671 442 15 15 CD A52264 2671 443 07 07 CD A52264 2671 444 85 85 CD A52264 2671 445 3 3 CD A52264 2671 446 11 11 CD A52264 2671 447 14 14 CD A52264 2671 448 25 25 CD A52264 2671 449 21 21 CD A52264 2671 450 55 55 CD A52264 2671 451 23 23 CD A52264 2671 452 36 36 CD A52264 2671 453 19 19 CD A52264 2671 454 06 06 CD A52264 2671 455 09 09 CD A52264 2671 456 76 76 CD A52264 2671 457 2 2 CD A52264 2671 458 03 03 CD A52264 2671 459 13 13 CD A52264 2671 460 20 20 CD A52264 2671 461 21 21 CD A52264 2671 462 41 41 CD A52264 2671 463 23 23 CD A52264 2671 464 35 35 CD A52264 2671 465 19 19 CD A52264 2671 466 17 17 CD A52264 2671 467 88 88 CD A52264 2671 468 07 07 CD A52264 2671 469 46 46 CD A52264 2671 470 3 3 CD A52264 2671 471 50 50 CD A52264 2671 472 14 14 CD A52264 2671 473 56 56 CD A52264 2671 474 21 21 CD A52264 2671 475 70 70 CD A52264 2671 476 23 23 CD A52264 2671 477 31 31 CD A52264 2671 478 18 18 CD A52264 2671 479 83 83 CD A52264 2671 480 09 09 CD A52264 2671 481 41 41 CD A52264 2671 482 2 2 CD A52264 2671 483 41 41 CD A52264 2671 484 13 13 CD A52264 2671 485 53 53 CD A52264 2671 486 21 21 CD A52264 2671 487 60 60 CD A52264 2671 488 23 23 CD A52264 2671 489 28 28 CD A52264 2671 490 20 20 CD A52264 2671 491 17 17 CD A52264 2671 492 60 60 CD A52264 2671 493 07 07 CD A52264 2671 494 08 08 CD A52264 2671 495 3 3 CD A52264 2671 496 88 88 CD A52264 2671 497 14 14 CD A52264 2671 498 86 86 CD A52264 2671 499 21 21 CD A52264 2671 500 85 85 CD A52264 2671 501 23 23 CD A52264 2671 502 26 26 CD A52264 2671 503 18 18 CD A52264 2671 504 60 60 CD A52264 2671 505 09 09 CD A52264 2671 506 06 06 CD A52264 2671 507 2 2 CD A52264 2671 508 80 80 CD A52264 2671 509 13 13 CD A52264 2671 510 86 86 CD A52264 2671 511 21 21 CD A52264 2671 512 76 76 CD A52264 2671 513 23 23 CD A52264 2671 514 21 21 CD A52264 2671 515 21 21 CD A52264 2671 516 17 17 CD A52264 2671 517 31 31 CD A52264 2671 518 06 06 CD A52264 2671 519 70 70 CD A52264 2671 520 4 4 CD A52264 2671 521 28 28 CD A52264 2671 522 15 15 CD A52264 2671 523 16 16 CD A52264 2671 524 22 22 CD A52264 2671 525 00 00 CD A52264 2671 526 23 23 CD A52264 2671 527 20 20 CD A52264 2671 528 18 18 CD A52264 2671 529 35 35 CD A52264 2671 530 08 08 CD A52264 2671 531 70 70 CD A52264 2671 532 3 3 CD A52264 2671 533 20 20 CD A52264 2671 534 14 14 CD A52264 2671 535 20 20 CD A52264 2671 536 21 21 CD A52264 2671 537 91 91 CD A52264 2671 538 23 23 CD A52264 2671 539 15 15 CD A52264 2671 540 22 22 CD A52264 2671 541 17 17 CD A52264 2671 542 03 03 CD A52264 2671 543 06 06 CD A52264 2671 544 31 31 CD A52264 2671 545 4 4 CD A52264 2671 546 66 66 CD A52264 2671 547 15 15 CD A52264 2671 548 46 46 CD A52264 2671 549 22 22 CD A52264 2671 550 13 13 CD A52264 2671 551 23 23 CD A52264 2671 552 13 13 CD A52264 2671 553 18 18 CD A52264 2671 554 10 10 CD A52264 2671 555 08 08 CD A52264 2671 556 33 33 CD A52264 2671 557 3 3 CD A52264 2671 558 60 60 CD A52264 2671 559 14 14 CD A52264 2671 560 51 51 CD A52264 2671 561 22 22 CD A52264 2671 562 06 06 CD A52264 2671 563 23 23 CD A52264 2671 564 06 06 CD A52264 2671 565 23 23 CD A52264 2671 566 16 16 CD A52264 2671 567 75 75 CD A52264 2671 568 05 05 CD A52264 2671 569 93 93 CD A52264 2671 570 5 5 CD A52264 2671 571 05 05 CD A52264 2671 572 15 15 CD A52264 2671 573 76 76 CD A52264 2671 574 22 22 CD A52264 2671 575 26 26 CD A52264 2671 576 23 23 CD A52264 2671 577 05 05 CD A52264 2671 578 17 17 CD A52264 2671 579 85 85 CD A52264 2671 580 07 07 CD A52264 2671 581 96 96 CD A52264 2671 582 3 3 CD A52264 2671 583 98 98 CD A52264 2671 584 14 14 CD A52264 2671 585 83 83 CD A52264 2671 586 22 22 CD A52264 2671 587 21 21 CD A52264 2671 588 22 22 CD A52264 2671 589 98 98 CD A52264 2671 590 24 24 CD A52264 2671 591 16 16 CD A52264 2671 592 45 45 CD A52264 2671 593 05 05 CD A52264 2671 594 53 53 CD A52264 2671 595 5 5 CD A52264 2671 596 43 43 CD A52264 2671 597 16 16 CD A52264 2671 598 05 05 CD A52264 2671 599 22 22 CD A52264 2671 600 40 40 CD A52264 2671 601 22 22 CD A52264 2671 602 96 96 CD A52264 2671 603 17 17 CD A52264 2671 604 58 58 CD A52264 2671 605 07 07 CD A52264 2671 606 60 60 CD A52264 2671 607 4 4 CD A52264 2671 608 36 36 CD A52264 2671 609 15 15 CD A52264 2671 610 15 15 CD A52264 2671 611 22 22 CD A52264 2671 612 35 35 CD A52264 2671 613 22 22 CD A52264 2671 614 88 88 CD A52264 2671 615 25 25 CD A52264 2671 616 16 16 CD A52264 2671 617 15 15 CD A52264 2671 618 05 05 CD A52264 2671 619 15 15 CD A52264 2671 620 5 5 CD A52264 2671 621 81 81 CD A52264 2671 622 16 16 CD A52264 2671 623 35 35 CD A52264 2671 624 22 22 CD A52264 2671 625 51 51 CD A52264 2671 626 22 22 CD A52264 2671 627 88 88 CD A52264 2671 628 17 17 CD A52264 2671 629 31 31 CD A52264 2671 630 07 07 CD A52264 2671 631 23 23 CD A52264 2671 632 4 4 CD A52264 2671 633 76 76 CD A52264 2671 634 15 15 CD A52264 2671 635 46 46 CD A52264 2671 636 22 22 CD A52264 2671 637 48 48 CD A52264 2671 638 22 22 CD A52264 2671 639 78 78 CD A52264 2671 640 26 26 CD A52264 2671 641 15 15 CD A52264 2671 642 85 85 CD A52264 2671 643 04 04 CD A52264 2671 644 76 76 CD A52264 2671 645 6 6 CD A52264 2671 646 20 20 CD A52264 2671 647 16 16 CD A52264 2671 648 63 63 CD A52264 2671 649 22 22 CD A52264 2671 650 63 63 CD A52264 2671 651 22 22 CD A52264 2671 652 78 78 CD A52264 2671 653 17 17 CD A52264 2671 654 05 05 CD A52264 2671 655 06 06 CD A52264 2671 656 85 85 CD A52264 2671 657 5 5 CD A52264 2671 658 15 15 CD A52264 2671 659 15 15 CD A52264 2671 660 76 76 CD A52264 2671 661 22 22 CD A52264 2671 662 60 60 CD A52264 2671 663 22 22 CD A52264 2671 664 68 68 CD A52264 2671 665 27 27 CD A52264 2671 666 15 15 CD A52264 2671 667 53 53 CD A52264 2671 668 04 04 CD A52264 2671 669 36 36 CD A52264 2671 670 6 6 CD A52264 2671 671 56 56 CD A52264 2671 672 16 16 CD A52264 2671 673 90 90 CD A52264 2671 674 22 22 CD A52264 2671 675 73 73 CD A52264 2671 676 22 22 CD A52264 2671 677 68 68 CD A52264 2671 678 16 16 CD A52264 2671 679 78 78 CD A52264 2671 680 06 06 CD A52264 2671 681 48 48 CD A52264 2671 682 5 5 CD A52264 2671 683 53 53 CD A52264 2671 684 16 16 CD A52264 2671 685 08 08 CD A52264 2671 686 22 22 CD A52264 2671 687 71 71 CD A52264 2671 688 22 22 CD A52264 2671 689 56 56 CD A52264 2671 690 28 28 CD A52264 2671 691 15 15 CD A52264 2671 692 23 23 CD A52264 2671 693 03 03 CD A52264 2671 694 98 98 CD A52264 2671 695 6 6 CD A52264 2671 696 95 95 CD A52264 2671 697 17 17 CD A52264 2671 698 18 18 CD A52264 2671 699 22 22 CD A52264 2671 700 83 83 CD A52264 2671 701 22 22 CD A52264 2671 702 56 56 CD A52264 2671 703 16 16 CD A52264 2671 704 50 50 CD A52264 2671 705 06 06 CD A52264 2671 706 11 11 CD A52264 2671 707 5 5 CD A52264 2671 708 91 91 CD A52264 2671 709 16 16 CD A52264 2671 710 38 38 CD A52264 2671 711 22 22 CD A52264 2671 712 83 83 CD A52264 2671 713 22 22 CD A52264 2671 714 43 43 CD A52264 2671 715 29 29 CD A52264 2671 716 14 14 CD A52264 2671 717 91 91 CD A52264 2671 718     _SP A52264 2671 719 7 7 CD A52264 2671 720 31 31 CD A52264 2671 721 17 17 CD A52264 2671 722 45 45 CD A52264 2671 723 22 22 CD A52264 2671 724 93 93 CD A52264 2671 725 22 22 CD A52264 2671 726 45 45 CD A52264 2671 727 16 16 CD A52264 2671 728 21 21 CD A52264 2671 729 05 05 CD A52264 2671 730 73 73 CD A52264 2671 731 6 6 CD A52264 2671 732 30 30 CD A52264 2671 733 16 16 CD A52264 2671 734 68 68 CD A52264 2671 735 22 22 CD A52264 2671 736 93 93 CD A52264 2671 737 22 22 CD A52264 2671 738 30 30 CD A52264 2671 739 30 30 CD A52264 2671 740 14 14 CD A52264 2671 741 58 58 CD A52264 2671 742     _SP A52264 2671 743 7 7 CD A52264 2671 744 70 70 CD A52264 2671 745 17 17 CD A52264 2671 746 71 71 CD A52264 2671 747 23 23 CD A52264 2671 748 01 01 CD A52264 2671 749 22 22 CD A52264 2671 750 33 33 CD A52264 2671 751 15 15 CD A52264 2671 752 93 93 CD A52264 2671 753 05 05 CD A52264 2671 754 36 36 CD A52264 2671 755 6 6 CD A52264 2671 756 68 68 CD A52264 2671 757 16 16 CD A52264 2671 758 96 96 CD A52264 2671 759 23 23 CD A52264 2671 760 01 01 CD A52264 2671 761 22 22 CD A52264 2671 762 16 16 CD A52264 2671 763 31 31 CD A52264 2671 764 14 14 CD A52264 2671 765 26 26 CD A52264 2671 766     _SP A52264 2671 767 8 8 CD A52264 2671 768 06 06 CD A52264 2671 769     _SP A52264 2671 770 23 23 CD A52264 2671 771 10 10 CD A52264 2671 772     _SP A52264 2671 773 15 15 CD A52264 2671 774 65 65 CD A52264 2671 775 04 04 CD A52264 2671 776 98 98 CD A52264 2671 777     _SP A52264 2671 778 17 17 CD A52264 2671 779 25 25 CD A52264 2671 780     _SP A52264 2671 781 22 22 CD A52264 2671 782 01 01 CD A52264 2671 783 A a DT A52264 2671 784 Table table NN A52264 2671 785 of of IN A52264 2671 786 the the DT A52264 2671 787 Suns Suns NNPS A52264 2671 788 Declination Declination NNP A52264 2671 789 , , , A52264 2671 790 for for IN A52264 2671 791 the the DT A52264 2671 792 years year NNS A52264 2671 793 1656 1656 CD A52264 2671 794 , , , A52264 2671 795 1660 1660 CD A52264 2671 796 , , , A52264 2671 797 1664 1664 CD A52264 2671 798 , , , A52264 2671 799 1668 1668 CD A52264 2671 800 . . . A52264 2672 1 Ianu Ianu NNP A52264 2672 2 . . . A52264 2673 1 Febr Febr NNP A52264 2673 2 . . . A52264 2674 1 Mar Mar NNP A52264 2674 2 Apr. April NNP A52264 2675 1 May. May NNP A52264 2676 1 June June NNP A52264 2676 2 July July NNP A52264 2676 3 Aug. August NNP A52264 2676 4 Sep. September NNP A52264 2676 5 Octo Octo NNP A52264 2676 6 Nov Nov NNP A52264 2676 7 Dece Dece NNP A52264 2676 8 . . . A52264 2677 1 Dayes Dayes NNP A52264 2677 2 south south NNP A52264 2677 3 south south RB A52264 2677 4 sout sout VBP A52264 2677 5 north north NNP A52264 2677 6 north north NNP A52264 2677 7 north north NNP A52264 2677 8 north north NNP A52264 2677 9 north north NNP A52264 2677 10 nort nort NNP A52264 2677 11 south south NNP A52264 2677 12 south south NNP A52264 2677 13 south south NNP A52264 2677 14 1 1 CD A52264 2677 15 21 21 CD A52264 2677 16 85 85 CD A52264 2677 17 14 14 CD A52264 2677 18 01 01 CD A52264 2677 19 3 3 CD A52264 2677 20 28 28 CD A52264 2677 21 08 08 CD A52264 2677 22 70 70 CD A52264 2677 23 18 18 CD A52264 2677 24 16 16 CD A52264 2677 25 23 23 CD A52264 2677 26 21 21 CD A52264 2677 27 22 22 CD A52264 2677 28 08 08 CD A52264 2677 29 15 15 CD A52264 2677 30 11 11 CD A52264 2677 31 4 4 CD A52264 2677 32 30 30 CD A52264 2677 33 7 7 CD A52264 2677 34 35 35 CD A52264 2677 35 17 17 CD A52264 2677 36 73 73 CD A52264 2677 37 23 23 CD A52264 2677 38 16 16 CD A52264 2677 39 2 2 CD A52264 2677 40 21 21 CD A52264 2677 41 70 70 CD A52264 2677 42 13 13 CD A52264 2677 43 68 68 CD A52264 2677 44 3 3 CD A52264 2677 45 90 90 CD A52264 2677 46 09 09 CD A52264 2677 47 06 06 CD A52264 2677 48 18 18 CD A52264 2677 49 41 41 CD A52264 2677 50 23 23 CD A52264 2677 51 28 28 CD A52264 2677 52 21 21 CD A52264 2677 53 95 95 CD A52264 2677 54 14 14 CD A52264 2677 55 81 81 CD A52264 2677 56 3 3 CD A52264 2677 57 91 91 CD A52264 2677 58 7 7 CD A52264 2677 59 73 73 CD A52264 2677 60 18 18 CD A52264 2677 61 00 00 CD A52264 2677 62 23 23 CD A52264 2677 63 23 23 CD A52264 2677 64 3 3 CD A52264 2677 65 21 21 CD A52264 2677 66 53 53 CD A52264 2677 67 13 13 CD A52264 2677 68 35 35 CD A52264 2677 69 2 2 CD A52264 2677 70 50 50 CD A52264 2677 71 09 09 CD A52264 2677 72 43 43 CD A52264 2677 73 18 18 CD A52264 2677 74 65 65 CD A52264 2677 75 23 23 CD A52264 2677 76 33 33 CD A52264 2677 77 21 21 CD A52264 2677 78 80 80 CD A52264 2677 79 14 14 CD A52264 2677 80 51 51 CD A52264 2677 81 3 3 CD A52264 2677 82 53 53 CD A52264 2677 83 8 8 CD A52264 2677 84 10 10 CD A52264 2677 85 18 18 CD A52264 2677 86 26 26 CD A52264 2677 87 23 23 CD A52264 2677 88 30 30 CD A52264 2677 89 4 4 CD A52264 2677 90 21 21 CD A52264 2677 91 35 35 CD A52264 2677 92 13 13 CD A52264 2677 93 00 00 CD A52264 2677 94 2 2 CD A52264 2677 95 10 10 CD A52264 2677 96 09 09 CD A52264 2677 97 78 78 CD A52264 2677 98 18 18 CD A52264 2677 99 90 90 CD A52264 2677 100 23 23 CD A52264 2677 101 38 38 CD A52264 2677 102 21 21 CD A52264 2677 103 65 65 CD A52264 2677 104 14 14 CD A52264 2677 105 20 20 CD A52264 2677 106 3 3 CD A52264 2677 107 15 15 CD A52264 2677 108 8 8 CD A52264 2677 109 48 48 CD A52264 2677 110 18 18 CD A52264 2677 111 53 53 CD A52264 2677 112 23 23 CD A52264 2677 113 35 35 CD A52264 2677 114 5 5 CD A52264 2677 115 21 21 CD A52264 2677 116 16 16 CD A52264 2677 117 12 12 CD A52264 2677 118 66 66 CD A52264 2677 119 1 1 CD A52264 2677 120 66 66 CD A52264 2677 121 10 10 CD A52264 2677 122 15 15 CD A52264 2677 123 19 19 CD A52264 2677 124 13 13 CD A52264 2677 125 23 23 CD A52264 2677 126 41 41 CD A52264 2677 127 21 21 CD A52264 2677 128 50 50 CD A52264 2677 129 13 13 CD A52264 2677 130 88 88 CD A52264 2677 131 2 2 CD A52264 2677 132 75 75 CD A52264 2677 133 8 8 CD A52264 2677 134 85 85 CD A52264 2677 135 18 18 CD A52264 2677 136 78 78 CD A52264 2677 137 23 23 CD A52264 2677 138 40 40 CD A52264 2677 139 6 6 CD A52264 2677 140 20 20 CD A52264 2677 141 98 98 CD A52264 2677 142 12 12 CD A52264 2677 143 31 31 CD A52264 2677 144 1 1 CD A52264 2677 145 33 33 CD A52264 2677 146 10 10 CD A52264 2677 147 50 50 CD A52264 2677 148 19 19 CD A52264 2677 149 36 36 CD A52264 2677 150 23 23 CD A52264 2677 151 45 45 CD A52264 2677 152 21 21 CD A52264 2677 153 33 33 CD A52264 2677 154 13 13 CD A52264 2677 155 56 56 CD A52264 2677 156 2 2 CD A52264 2677 157 36 36 CD A52264 2677 158 9 9 CD A52264 2677 159 21 21 CD A52264 2677 160 19 19 CD A52264 2677 161 03 03 CD A52264 2677 162 23 23 CD A52264 2677 163 45 45 CD A52264 2677 164 7 7 CD A52264 2677 165 20 20 CD A52264 2677 166 78 78 CD A52264 2677 167 11 11 CD A52264 2677 168 96 96 CD A52264 2677 169 0 0 CD A52264 2677 170 91 91 CD A52264 2677 171 10 10 CD A52264 2677 172 85 85 CD A52264 2677 173 19 19 CD A52264 2677 174 58 58 CD A52264 2677 175 23 23 CD A52264 2677 176 48 48 CD A52264 2677 177 21 21 CD A52264 2677 178 16 16 CD A52264 2677 179 13 13 CD A52264 2677 180 25 25 CD A52264 2677 181 1 1 CD A52264 2677 182 98 98 CD A52264 2677 183 9 9 CD A52264 2677 184 58 58 CD A52264 2677 185 19 19 CD A52264 2677 186 28 28 CD A52264 2677 187 23 23 CD A52264 2677 188 48 48 CD A52264 2677 189 8 8 CD A52264 2677 190 20 20 CD A52264 2677 191 58 58 CD A52264 2677 192 11 11 CD A52264 2677 193 61 61 CD A52264 2677 194 0 0 CD A52264 2677 195 53 53 CD A52264 2677 196 11 11 CD A52264 2677 197 20 20 CD A52264 2677 198 19 19 CD A52264 2677 199 80 80 CD A52264 2677 200 23 23 CD A52264 2677 201 50 50 CD A52264 2677 202 20 20 CD A52264 2677 203 98 98 CD A52264 2677 204 12 12 CD A52264 2677 205 91 91 CD A52264 2677 206 1 1 CD A52264 2677 207 58 58 CD A52264 2677 208 9 9 CD A52264 2677 209 95 95 CD A52264 2677 210 19 19 CD A52264 2677 211 51 51 CD A52264 2677 212 23 23 CD A52264 2677 213 50 50 CD A52264 2677 214 9 9 CD A52264 2677 215 20 20 CD A52264 2677 216 36 36 CD A52264 2677 217 11 11 CD A52264 2677 218 26 26 CD A52264 2677 219 0 0 CD A52264 2677 220 13 13 CD A52264 2677 221 11 11 CD A52264 2677 222 53 53 CD A52264 2677 223 20 20 CD A52264 2677 224 01 01 CD A52264 2677 225 23 23 CD A52264 2677 226 51 51 CD A52264 2677 227 20 20 CD A52264 2677 228 80 80 CD A52264 2677 229 12 12 CD A52264 2677 230 60 60 CD A52264 2677 231 1 1 CD A52264 2677 232 20 20 CD A52264 2677 233 10 10 CD A52264 2677 234 31 31 CD A52264 2677 235 19 19 CD A52264 2677 236 75 75 CD A52264 2677 237 23 23 CD A52264 2677 238 51 51 CD A52264 2677 239 10 10 CD A52264 2677 240 20 20 CD A52264 2677 241 15 15 CD A52264 2677 242 10 10 CD A52264 2677 243 90 90 CD A52264 2677 244 N26 N26 NNP A52264 2677 245 11 11 CD A52264 2677 246 88 88 CD A52264 2677 247 20 20 CD A52264 2677 248 21 21 CD A52264 2677 249 23 23 CD A52264 2677 250 52 52 CD A52264 2677 251 20 20 CD A52264 2677 252 61 61 CD A52264 2677 253 12 12 CD A52264 2677 254 26 26 CD A52264 2677 255 0 0 CD A52264 2677 256 81 81 CD A52264 2677 257 10 10 CD A52264 2677 258 68 68 CD A52264 2677 259 19 19 CD A52264 2677 260 98 98 CD A52264 2677 261 23 23 CD A52264 2677 262 52 52 CD A52264 2677 263 11 11 CD A52264 2677 264 19 19 CD A52264 2677 265 93 93 CD A52264 2677 266 10 10 CD A52264 2677 267 53 53 CD A52264 2677 268 0 0 CD A52264 2677 269 66 66 CD A52264 2677 270 12 12 CD A52264 2677 271 21 21 CD A52264 2677 272 20 20 CD A52264 2677 273 41 41 CD A52264 2677 274 23 23 CD A52264 2677 275 53 53 CD A52264 2677 276 20 20 CD A52264 2677 277 41 41 CD A52264 2677 278 11 11 CD A52264 2677 279 93 93 CD A52264 2677 280 0 0 CD A52264 2677 281 41 41 CD A52264 2677 282 11 11 CD A52264 2677 283 03 03 CD A52264 2677 284 20 20 CD A52264 2677 285 20 20 CD A52264 2677 286 23 23 CD A52264 2677 287 53 53 CD A52264 2677 288 12 12 CD A52264 2677 289 19 19 CD A52264 2677 290 70 70 CD A52264 2677 291 10 10 CD A52264 2677 292 16 16 CD A52264 2677 293 1 1 CD A52264 2677 294 05 05 CD A52264 2677 295 12 12 CD A52264 2677 296 55 55 CD A52264 2677 297 20 20 CD A52264 2677 298 61 61 CD A52264 2677 299 23 23 CD A52264 2677 300 51 51 CD A52264 2677 301 20 20 CD A52264 2677 302 21 21 CD A52264 2677 303 11 11 CD A52264 2677 304 60 60 CD A52264 2677 305 0 0 CD A52264 2677 306 03 03 CD A52264 2677 307 11 11 CD A52264 2677 308 38 38 CD A52264 2677 309 20 20 CD A52264 2677 310 41 41 CD A52264 2677 311 23 23 CD A52264 2677 312 51 51 CD A52264 2677 313 13 13 CD A52264 2677 314 ● ● SYM A52264 2677 315 9 9 CD A52264 2677 316 46 46 CD A52264 2677 317 09 09 CD A52264 2677 318 80 80 CD A52264 2677 319 1 1 CD A52264 2677 320 45 45 CD A52264 2677 321 12 12 CD A52264 2677 322 88 88 CD A52264 2677 323 20 20 CD A52264 2677 324 80 80 CD A52264 2677 325 23 23 CD A52264 2677 326 50 50 CD A52264 2677 327 20 20 CD A52264 2677 328 00 00 CD A52264 2677 329 11 11 CD A52264 2677 330 25 25 CD A52264 2677 331 0 0 CD A52264 2677 332 ● ● CD A52264 2677 333 36 36 CD A52264 2677 334 11 11 CD A52264 2677 335 73 73 CD A52264 2677 336 20 20 CD A52264 2677 337 61 61 CD A52264 2677 338 23 23 CD A52264 2677 339 50 50 CD A52264 2677 340 14 14 CD A52264 2677 341 19 19 CD A52264 2677 342 23 23 CD A52264 2677 343 09 09 CD A52264 2677 344 43 43 CD A52264 2677 345 1 1 CD A52264 2677 346 83 83 CD A52264 2677 347 13 13 CD A52264 2677 348 20 20 CD A52264 2677 349 20 20 CD A52264 2677 350 98 98 CD A52264 2677 351 23 23 CD A52264 2677 352 48 48 CD A52264 2677 353 19 19 CD A52264 2677 354 80 80 CD A52264 2677 355 10 10 CD A52264 2677 356 90 90 CD A52264 2677 357 0 0 CD A52264 2677 358 75 75 CD A52264 2677 359 12 12 CD A52264 2677 360 08 08 CD A52264 2677 361 20 20 CD A52264 2677 362 81 81 CD A52264 2677 363 23 23 CD A52264 2677 364 48 48 CD A52264 2677 365 15 15 CD A52264 2677 366 18 18 CD A52264 2677 367 98 98 CD A52264 2677 368 09 09 CD A52264 2677 369 06 06 CD A52264 2677 370 2 2 CD A52264 2677 371 23 23 CD A52264 2677 372 13 13 CD A52264 2677 373 53 53 CD A52264 2677 374 21 21 CD A52264 2677 375 16 16 CD A52264 2677 376 23 23 CD A52264 2677 377 45 45 CD A52264 2677 378 19 19 CD A52264 2677 379 58 58 CD A52264 2677 380 10 10 CD A52264 2677 381 56 56 CD A52264 2677 382 1 1 CD A52264 2677 383 15 15 CD A52264 2677 384 12 12 CD A52264 2677 385 43 43 CD A52264 2677 386 21 21 CD A52264 2677 387 01 01 CD A52264 2677 388 23 23 CD A52264 2677 389 45 45 CD A52264 2677 390 16 16 CD A52264 2677 391 18 18 CD A52264 2677 392 73 73 CD A52264 2677 393 08 08 CD A52264 2677 394 70 70 CD A52264 2677 395 2 2 CD A52264 2677 396 63 63 CD A52264 2677 397 13 13 CD A52264 2677 398 85 85 CD A52264 2677 399 21 21 CD A52264 2677 400 33 33 CD A52264 2677 401 23 23 CD A52264 2677 402 41 41 CD A52264 2677 403 ● ● CD A52264 2677 404 9 9 CD A52264 2677 405 35 35 CD A52264 2677 406 10 10 CD A52264 2677 407 21 21 CD A52264 2677 408 1 1 CD A52264 2677 409 55 55 CD A52264 2677 410 12 12 CD A52264 2677 411 78 78 CD A52264 2677 412 21 21 CD A52264 2677 413 20 20 CD A52264 2677 414 23 23 CD A52264 2677 415 40 40 CD A52264 2677 416 17 17 CD A52264 2677 417 18 18 CD A52264 2677 418 48 48 CD A52264 2677 419 08 08 CD A52264 2677 420 31 31 CD A52264 2677 421 3 3 CD A52264 2677 422 03 03 CD A52264 2677 423 14 14 CD A52264 2677 424 16 16 CD A52264 2677 425 21 21 CD A52264 2677 426 50 50 CD A52264 2677 427 23 23 CD A52264 2677 428 38 38 CD A52264 2677 429 ● ● CD A52264 2677 430 9 9 CD A52264 2677 431 13 13 CD A52264 2677 432 9 9 CD A52264 2677 433 85 85 CD A52264 2677 434 1 1 CD A52264 2677 435 93 93 CD A52264 2677 436 13 13 CD A52264 2677 437 11 11 CD A52264 2677 438 21 21 CD A52264 2677 439 38 38 CD A52264 2677 440 23 23 CD A52264 2677 441 35 35 CD A52264 2677 442 18 18 CD A52264 2677 443 18 18 CD A52264 2677 444 21 21 CD A52264 2677 445 07 07 CD A52264 2677 446 93 93 CD A52264 2677 447 3 3 CD A52264 2677 448 41 41 CD A52264 2677 449 14 14 CD A52264 2677 450 48 48 CD A52264 2677 451 21 21 CD A52264 2677 452 66 66 CD A52264 2677 453 23 23 CD A52264 2677 454 33 33 CD A52264 2677 455 18 18 CD A52264 2677 456 90 90 CD A52264 2677 457 9 9 CD A52264 2677 458 50 50 CD A52264 2677 459 2 2 CD A52264 2677 460 31 31 CD A52264 2677 461 13 13 CD A52264 2677 462 45 45 CD A52264 2677 463 21 21 CD A52264 2677 464 55 55 CD A52264 2677 465 23 23 CD A52264 2677 466 30 30 CD A52264 2677 467 19 19 CD A52264 2677 468 17 17 CD A52264 2677 469 95 95 CD A52264 2677 470 07 07 CD A52264 2677 471 55 55 CD A52264 2677 472 3 3 CD A52264 2677 473 80 80 CD A52264 2677 474 14 14 CD A52264 2677 475 80 80 CD A52264 2677 476 21 21 CD A52264 2677 477 81 81 CD A52264 2677 478 23 23 CD A52264 2677 479 26 26 CD A52264 2677 480 18 18 CD A52264 2677 481 65 65 CD A52264 2677 482 9 9 CD A52264 2677 483 15 15 CD A52264 2677 484 2 2 CD A52264 2677 485 71 71 CD A52264 2677 486 13 13 CD A52264 2677 487 78 78 CD A52264 2677 488 21 21 CD A52264 2677 489 7 7 CD A52264 2677 490 ● ● CD A52264 2677 491 23 23 CD A52264 2677 492 25 25 CD A52264 2677 493 20 20 CD A52264 2677 494 17 17 CD A52264 2677 495 66 66 CD A52264 2677 496 07 07 CD A52264 2677 497 16 16 CD A52264 2677 498 4 4 CD A52264 2677 499 18 18 CD A52264 2677 500 15 15 CD A52264 2677 501 10 10 CD A52264 2677 502 21 21 CD A52264 2677 503 96 96 CD A52264 2677 504 23 23 CD A52264 2677 505 21 21 CD A52264 2677 506 18 18 CD A52264 2677 507 41 41 CD A52264 2677 508 8 8 CD A52264 2677 509 78 78 CD A52264 2677 510 3 3 CD A52264 2677 511 10 10 CD A52264 2677 512 14 14 CD A52264 2677 513 11 11 CD A52264 2677 514 21 21 CD A52264 2677 515 88 88 CD A52264 2677 516 23 23 CD A52264 2677 517 18 18 CD A52264 2677 518 21 21 CD A52264 2677 519 17 17 CD A52264 2677 520 40 40 CD A52264 2677 521 06 06 CD A52264 2677 522 78 78 CD A52264 2677 523 4 4 CD A52264 2677 524 56 56 CD A52264 2677 525 15 15 CD A52264 2677 526 40 40 CD A52264 2677 527 22 22 CD A52264 2677 528 10 10 CD A52264 2677 529 23 23 CD A52264 2677 530 15 15 CD A52264 2677 531 18 18 CD A52264 2677 532 16 16 CD A52264 2677 533 8 8 CD A52264 2677 534 41 41 CD A52264 2677 535 3 3 CD A52264 2677 536 50 50 CD A52264 2677 537 14 14 CD A52264 2677 538 43 43 CD A52264 2677 539 22 22 CD A52264 2677 540 03 03 CD A52264 2677 541 23 23 CD A52264 2677 542 10 10 CD A52264 2677 543 22 22 CD A52264 2677 544 17 17 CD A52264 2677 545 11 11 CD A52264 2677 546 06 06 CD A52264 2677 547 40 40 CD A52264 2677 548 4 4 CD A52264 2677 549 95 95 CD A52264 2677 550 15 15 CD A52264 2677 551 70 70 CD A52264 2677 552 22 22 CD A52264 2677 553 23 23 CD A52264 2677 554 23 23 CD A52264 2677 555 06 06 CD A52264 2677 556 17 17 CD A52264 2677 557 91 91 CD A52264 2677 558 8 8 CD A52264 2677 559 05 05 CD A52264 2677 560 3 3 CD A52264 2677 561 88 88 CD A52264 2677 562 14 14 CD A52264 2677 563 76 76 CD A52264 2677 564 22 22 CD A52264 2677 565 18 18 CD A52264 2677 566 23 23 CD A52264 2677 567 01 01 CD A52264 2677 568 23 23 CD A52264 2677 569 16 16 CD A52264 2677 570 81 81 CD A52264 2677 571 06 06 CD A52264 2677 572 01 01 CD A52264 2677 573 5 5 CD A52264 2677 574 33 33 CD A52264 2677 575 15 15 CD A52264 2677 576 98 98 CD A52264 2677 577 22 22 CD A52264 2677 578 36 36 CD A52264 2677 579 22 22 CD A52264 2677 580 98 98 CD A52264 2677 581 17 17 CD A52264 2677 582 66 66 CD A52264 2677 583 7 7 CD A52264 2677 584 68 68 CD A52264 2677 585 4 4 CD A52264 2677 586 28 28 CD A52264 2677 587 15 15 CD A52264 2677 588 08 08 CD A52264 2677 589 22 22 CD A52264 2677 590 31 31 CD A52264 2677 591 22 22 CD A52264 2677 592 91 91 CD A52264 2677 593 24 24 CD A52264 2677 594 16 16 CD A52264 2677 595 53 53 CD A52264 2677 596 05 05 CD A52264 2677 597 63 63 CD A52264 2677 598 5 5 CD A52264 2677 599 71 71 CD A52264 2677 600 16 16 CD A52264 2677 601 28 28 CD A52264 2677 602 22 22 CD A52264 2677 603 48 48 CD A52264 2677 604 22 22 CD A52264 2677 605 90 90 CD A52264 2677 606 17 17 CD A52264 2677 607 40 40 CD A52264 2677 608 7 7 CD A52264 2677 609 31 31 CD A52264 2677 610 4 4 CD A52264 2677 611 66 66 CD A52264 2677 612 15 15 CD A52264 2677 613 40 40 CD A52264 2677 614 22 22 CD A52264 2677 615 45 45 CD A52264 2677 616 22 22 CD A52264 2677 617 81 81 CD A52264 2677 618 25 25 CD A52264 2677 619 16 16 CD A52264 2677 620 23 23 CD A52264 2677 621 05 05 CD A52264 2677 622 25 25 CD A52264 2677 623 6 6 CD A52264 2677 624 10 10 CD A52264 2677 625 16 16 CD A52264 2677 626 56 56 CD A52264 2677 627 22 22 CD A52264 2677 628 60 60 CD A52264 2677 629 22 22 CD A52264 2677 630 80 80 CD A52264 2677 631 17 17 CD A52264 2677 632 11 11 CD A52264 2677 633 6 6 CD A52264 2677 634 95 95 CD A52264 2677 635 5 5 CD A52264 2677 636 05 05 CD A52264 2677 637 15 15 CD A52264 2677 638 70 70 CD A52264 2677 639 22 22 CD A52264 2677 640 58 58 CD A52264 2677 641 22 22 CD A52264 2677 642 70 70 CD A52264 2677 643 26 26 CD A52264 2677 644 15 15 CD A52264 2677 645 91 91 CD A52264 2677 646 04 04 CD A52264 2677 647 86 86 CD A52264 2677 648 6 6 CD A52264 2677 649 48 48 CD A52264 2677 650 16 16 CD A52264 2677 651 83 83 CD A52264 2677 652 22 22 CD A52264 2677 653 71 71 CD A52264 2677 654 22 22 CD A52264 2677 655 70 70 CD A52264 2677 656 16 16 CD A52264 2677 657 85 85 CD A52264 2677 658 6 6 CD A52264 2677 659 56 56 CD A52264 2677 660 5 5 CD A52264 2677 661 43 43 CD A52264 2677 662 16 16 CD A52264 2677 663 00 00 CD A52264 2677 664 22 22 CD A52264 2677 665 70 70 CD A52264 2677 666 22 22 CD A52264 2677 667 58 58 CD A52264 2677 668 27 27 CD A52264 2677 669 15 15 CD A52264 2677 670 61 61 CD A52264 2677 671 04 04 CD A52264 2677 672 48 48 CD A52264 2677 673 6 6 CD A52264 2677 674 85 85 CD A52264 2677 675 17 17 CD A52264 2677 676 11 11 CD A52264 2677 677 22 22 CD A52264 2677 678 81 81 CD A52264 2677 679 22 22 CD A52264 2677 680 60 60 CD A52264 2677 681 16 16 CD A52264 2677 682 56 56 CD A52264 2677 683 6 6 CD A52264 2677 684 20 20 CD A52264 2677 685 5 5 CD A52264 2677 686 81 81 CD A52264 2677 687 16 16 CD A52264 2677 688 30 30 CD A52264 2677 689 22 22 CD A52264 2677 690 80 80 CD A52264 2677 691 22 22 CD A52264 2677 692 46 46 CD A52264 2677 693 28 28 CD A52264 2677 694 15 15 CD A52264 2677 695 30 30 CD A52264 2677 696 04 04 CD A52264 2677 697 06 06 CD A52264 2677 698 7 7 CD A52264 2677 699 23 23 CD A52264 2677 700 17 17 CD A52264 2677 701 38 38 CD A52264 2677 702 22 22 CD A52264 2677 703 90 90 CD A52264 2677 704 22 22 CD A52264 2677 705 48 48 CD A52264 2677 706 16 16 CD A52264 2677 707 28 28 CD A52264 2677 708 5 5 CD A52264 2677 709 83 83 CD A52264 2677 710 6 6 CD A52264 2677 711 20 20 CD A52264 2677 712 16 16 CD A52264 2677 713 60 60 CD A52264 2677 714 22 22 CD A52264 2677 715 90 90 CD A52264 2677 716 22 22 CD A52264 2677 717 33 33 CD A52264 2677 718 29 29 CD A52264 2677 719 14 14 CD A52264 2677 720 98 98 CD A52264 2677 721 03 03 CD A52264 2677 722 68 68 CD A52264 2677 723 7 7 CD A52264 2677 724 60 60 CD A52264 2677 725 17 17 CD A52264 2677 726 65 65 CD A52264 2677 727 22 22 CD A52264 2677 728 98 98 CD A52264 2677 729 22 22 CD A52264 2677 730 35 35 CD A52264 2677 731 16 16 CD A52264 2677 732 00 00 CD A52264 2677 733 5 5 CD A52264 2677 734 45 45 CD A52264 2677 735 6 6 CD A52264 2677 736 58 58 CD A52264 2677 737 16 16 CD A52264 2677 738 90 90 CD A52264 2677 739 23 23 CD A52264 2677 740 00 00 CD A52264 2677 741 22 22 CD A52264 2677 742 20 20 CD A52264 2677 743 30 30 CD A52264 2677 744 14 14 CD A52264 2677 745 66 66 CD A52264 2677 746     _SP A52264 2677 747 7 7 CD A52264 2677 748 96 96 CD A52264 2677 749 17 17 CD A52264 2677 750 90 90 CD A52264 2677 751 23 23 CD A52264 2677 752 06 06 CD A52264 2677 753 22 22 CD A52264 2677 754 21 21 CD A52264 2677 755 15 15 CD A52264 2677 756 71 71 CD A52264 2677 757 5 5 CD A52264 2677 758 06 06 CD A52264 2677 759 6 6 CD A52264 2677 760 96 96 CD A52264 2677 761 17 17 CD A52264 2677 762 ● ● SYM A52264 2677 763 8 8 CD A52264 2677 764 23 23 CD A52264 2677 765 08 08 CD A52264 2677 766 22 22 CD A52264 2677 767 05 05 CD A52264 2677 768 31 31 CD A52264 2677 769 14 14 CD A52264 2677 770 35 35 CD A52264 2677 771     _SP A52264 2677 772 8 8 CD A52264 2677 773 33 33 CD A52264 2677 774     _SP A52264 2677 775 23 23 CD A52264 2677 776 15 15 CD A52264 2677 777     _SP A52264 2677 778 15 15 CD A52264 2677 779 41 41 CD A52264 2677 780 4 4 CD A52264 2677 781 68 68 CD A52264 2677 782     _SP A52264 2677 783 17 17 CD A52264 2677 784 46 46 CD A52264 2677 785     _SP A52264 2677 786 21 21 CD A52264 2677 787 90 90 CD A52264 2677 788 A a DT A52264 2677 789 Table table NN A52264 2677 790 of of IN A52264 2677 791 the the DT A52264 2677 792 Suns Suns NNPS A52264 2677 793 Declination Declination NNP A52264 2677 794 , , , A52264 2677 795 for for IN A52264 2677 796 the the DT A52264 2677 797 years year NNS A52264 2677 798 1657 1657 CD A52264 2677 799 , , , A52264 2677 800 1661 1661 CD A52264 2677 801 , , , A52264 2677 802 1665 1665 CD A52264 2677 803 , , , A52264 2677 804 1669 1669 CD A52264 2677 805 . . . A52264 2678 1 Ianu Ianu NNP A52264 2678 2 . . . A52264 2679 1 Febr Febr NNP A52264 2679 2 . . . A52264 2680 1 Mar Mar NNP A52264 2680 2 Apr. April NNP A52264 2681 1 May. May NNP A52264 2682 1 June June NNP A52264 2682 2 July July NNP A52264 2682 3 Aug. August NNP A52264 2682 4 Sep. September NNP A52264 2682 5 Octo Octo NNP A52264 2682 6 Nov Nov NNP A52264 2682 7 Dece Dece NNP A52264 2682 8 . . . A52264 2683 1 Dayes Dayes NNP A52264 2683 2 . . . A52264 2684 1 south south NNP A52264 2684 2 south south NNP A52264 2684 3 sout sout NNP A52264 2684 4 north north NNP A52264 2684 5 north north NNP A52264 2684 6 north north NNP A52264 2684 7 north north NNP A52264 2684 8 north north NNP A52264 2684 9 nort nort NNP A52264 2684 10 south south NNP A52264 2684 11 south south NNP A52264 2684 12 south south NNP A52264 2684 13 1 1 CD A52264 2684 14 21 21 CD A52264 2684 15 73 73 CD A52264 2684 16 13 13 CD A52264 2684 17 76 76 CD A52264 2684 18 3 3 CD A52264 2684 19 40 40 CD A52264 2684 20 08 08 CD A52264 2684 21 60 60 CD A52264 2684 22 18 18 CD A52264 2684 23 08 08 CD A52264 2684 24 23 23 CD A52264 2684 25 20 20 CD A52264 2684 26 22 22 CD A52264 2684 27 13 13 CD A52264 2684 28 15 15 CD A52264 2684 29 20 20 CD A52264 2684 30 4 4 CD A52264 2684 31 40 40 CD A52264 2684 32 7 7 CD A52264 2684 33 25 25 CD A52264 2684 34 17 17 CD A52264 2684 35 66 66 CD A52264 2684 36 23 23 CD A52264 2684 37 15 15 CD A52264 2684 38 2 2 CD A52264 2684 39 21 21 CD A52264 2684 40 56 56 CD A52264 2684 41 13 13 CD A52264 2684 42 43 43 CD A52264 2684 43 3 3 CD A52264 2684 44 00 00 CD A52264 2684 45 08 08 CD A52264 2684 46 96 96 CD A52264 2684 47 18 18 CD A52264 2684 48 33 33 CD A52264 2684 49 23 23 CD A52264 2684 50 26 26 CD A52264 2684 51 22 22 CD A52264 2684 52 00 00 CD A52264 2684 53 14 14 CD A52264 2684 54 90 90 CD A52264 2684 55 4 4 CD A52264 2684 56 01 01 CD A52264 2684 57 7 7 CD A52264 2684 58 63 63 CD A52264 2684 59 17 17 CD A52264 2684 60 93 93 CD A52264 2684 61 23 23 CD A52264 2684 62 21 21 CD A52264 2684 63 3 3 CD A52264 2684 64 21 21 CD A52264 2684 65 38 38 CD A52264 2684 66 13 13 CD A52264 2684 67 08 08 CD A52264 2684 68 2 2 CD A52264 2684 69 61 61 CD A52264 2684 70 09 09 CD A52264 2684 71 33 33 CD A52264 2684 72 18 18 CD A52264 2684 73 58 58 CD A52264 2684 74 23 23 CD A52264 2684 75 31 31 CD A52264 2684 76 21 21 CD A52264 2684 77 85 85 CD A52264 2684 78 14 14 CD A52264 2684 79 60 60 CD A52264 2684 80 3 3 CD A52264 2684 81 63 63 CD A52264 2684 82 8 8 CD A52264 2684 83 00 00 CD A52264 2684 84 18 18 CD A52264 2684 85 20 20 CD A52264 2684 86 23 23 CD A52264 2684 87 28 28 CD A52264 2684 88 4 4 CD A52264 2684 89 21 21 CD A52264 2684 90 21 21 CD A52264 2684 91 12 12 CD A52264 2684 92 75 75 CD A52264 2684 93 2 2 CD A52264 2684 94 21 21 CD A52264 2684 95 09 09 CD A52264 2684 96 70 70 CD A52264 2684 97 18 18 CD A52264 2684 98 83 83 CD A52264 2684 99 23 23 CD A52264 2684 100 36 36 CD A52264 2684 101 21 21 CD A52264 2684 102 70 70 CD A52264 2684 103 14 14 CD A52264 2684 104 28 28 CD A52264 2684 105 3 3 CD A52264 2684 106 25 25 CD A52264 2684 107 8 8 CD A52264 2684 108 36 36 CD A52264 2684 109 18 18 CD A52264 2684 110 46 46 CD A52264 2684 111 23 23 CD A52264 2684 112 33 33 CD A52264 2684 113 5 5 CD A52264 2684 114 21 21 CD A52264 2684 115 03 03 CD A52264 2684 116 12 12 CD A52264 2684 117 41 41 CD A52264 2684 118 1 1 CD A52264 2684 119 81 81 CD A52264 2684 120 10 10 CD A52264 2684 121 05 05 CD A52264 2684 122 19 19 CD A52264 2684 123 06 06 CD A52264 2684 124 23 23 CD A52264 2684 125 41 41 CD A52264 2684 126 21 21 CD A52264 2684 127 53 53 CD A52264 2684 128 13 13 CD A52264 2684 129 96 96 CD A52264 2684 130 2 2 CD A52264 2684 131 86 86 CD A52264 2684 132 8 8 CD A52264 2684 133 75 75 CD A52264 2684 134 18 18 CD A52264 2684 135 71 71 CD A52264 2684 136 23 23 CD A52264 2684 137 38 38 CD A52264 2684 138 6 6 CD A52264 2684 139 20 20 CD A52264 2684 140 83 83 CD A52264 2684 141 12 12 CD A52264 2684 142 06 06 CD A52264 2684 143 1 1 CD A52264 2684 144 41 41 CD A52264 2684 145 10 10 CD A52264 2684 146 40 40 CD A52264 2684 147 19 19 CD A52264 2684 148 30 30 CD A52264 2684 149 23 23 CD A52264 2684 150 45 45 CD A52264 2684 151 21 21 CD A52264 2684 152 36 36 CD A52264 2684 153 13 13 CD A52264 2684 154 65 65 CD A52264 2684 155 2 2 CD A52264 2684 156 48 48 CD A52264 2684 157 9 9 CD A52264 2684 158 11 11 CD A52264 2684 159 18 18 CD A52264 2684 160 96 96 CD A52264 2684 161 23 23 CD A52264 2684 162 43 43 CD A52264 2684 163 7 7 CD A52264 2684 164 20 20 CD A52264 2684 165 63 63 CD A52264 2684 166 11 11 CD A52264 2684 167 71 71 CD A52264 2684 168 1 1 CD A52264 2684 169 01 01 CD A52264 2684 170 10 10 CD A52264 2684 171 75 75 CD A52264 2684 172 19 19 CD A52264 2684 173 51 51 CD A52264 2684 174 23 23 CD A52264 2684 175 48 48 CD A52264 2684 176 21 21 CD A52264 2684 177 20 20 CD A52264 2684 178 13 13 CD A52264 2684 179 33 33 CD A52264 2684 180 2 2 CD A52264 2684 181 08 08 CD A52264 2684 182 9 9 CD A52264 2684 183 48 48 CD A52264 2684 184 19 19 CD A52264 2684 185 21 21 CD A52264 2684 186 23 23 CD A52264 2684 187 46 46 CD A52264 2684 188 8 8 CD A52264 2684 189 20 20 CD A52264 2684 190 43 43 CD A52264 2684 191 11 11 CD A52264 2684 192 35 35 CD A52264 2684 193 0 0 CD A52264 2684 194 63 63 CD A52264 2684 195 11 11 CD A52264 2684 196 10 10 CD A52264 2684 197 19 19 CD A52264 2684 198 73 73 CD A52264 2684 199 23 23 CD A52264 2684 200 50 50 CD A52264 2684 201 21 21 CD A52264 2684 202 03 03 CD A52264 2684 203 13 13 CD A52264 2684 204 01 01 CD A52264 2684 205 1 1 CD A52264 2684 206 70 70 CD A52264 2684 207 9 9 CD A52264 2684 208 85 85 CD A52264 2684 209 19 19 CD A52264 2684 210 45 45 CD A52264 2684 211 23 23 CD A52264 2684 212 50 50 CD A52264 2684 213 9 9 CD A52264 2684 214 20 20 CD A52264 2684 215 21 21 CD A52264 2684 216 11 11 CD A52264 2684 217 00 00 CD A52264 2684 218 0 0 CD A52264 2684 219 23 23 CD A52264 2684 220 11 11 CD A52264 2684 221 45 45 CD A52264 2684 222 11 11 CD A52264 2684 223 95 95 CD A52264 2684 224 23 23 CD A52264 2684 225 51 51 CD A52264 2684 226 20 20 CD A52264 2684 227 85 85 CD A52264 2684 228 12 12 CD A52264 2684 229 68 68 CD A52264 2684 230 1 1 CD A52264 2684 231 31 31 CD A52264 2684 232 10 10 CD A52264 2684 233 21 21 CD A52264 2684 234 19 19 CD A52264 2684 235 68 68 CD A52264 2684 236 23 23 CD A52264 2684 237 51 51 CD A52264 2684 238 10 10 CD A52264 2684 239 20 20 CD A52264 2684 240 00 00 CD A52264 2684 241 10 10 CD A52264 2684 242 63 63 CD A52264 2684 243 N16 N16 NNP A52264 2684 244 11 11 CD A52264 2684 245 78 78 CD A52264 2684 246 20 20 CD A52264 2684 247 16 16 CD A52264 2684 248 23 23 CD A52264 2684 249 52 52 CD A52264 2684 250 20 20 CD A52264 2684 251 66 66 CD A52264 2684 252 12 12 CD A52264 2684 253 35 35 CD A52264 2684 254 0 0 CD A52264 2684 255 91 91 CD A52264 2684 256 10 10 CD A52264 2684 257 58 58 CD A52264 2684 258 19 19 CD A52264 2684 259 91 91 CD A52264 2684 260 23 23 CD A52264 2684 261 52 52 CD A52264 2684 262 11 11 CD A52264 2684 263 19 19 CD A52264 2684 264 76 76 CD A52264 2684 265 10 10 CD A52264 2684 266 26 26 CD A52264 2684 267 0 0 CD A52264 2684 268 55 55 CD A52264 2684 269 12 12 CD A52264 2684 270 11 11 CD A52264 2684 271 20 20 CD A52264 2684 272 36 36 CD A52264 2684 273 23 23 CD A52264 2684 274 53 53 CD A52264 2684 275 20 20 CD A52264 2684 276 46 46 CD A52264 2684 277 12 12 CD A52264 2684 278 01 01 CD A52264 2684 279 0 0 CD A52264 2684 280 53 53 CD A52264 2684 281 10 10 CD A52264 2684 282 93 93 CD A52264 2684 283 20 20 CD A52264 2684 284 13 13 CD A52264 2684 285 23 23 CD A52264 2684 286 53 53 CD A52264 2684 287 12 12 CD A52264 2684 288 19 19 CD A52264 2684 289 53 53 CD A52264 2684 290 09 09 CD A52264 2684 291 90 90 CD A52264 2684 292 0 0 CD A52264 2684 293 95 95 CD A52264 2684 294 12 12 CD A52264 2684 295 46 46 CD A52264 2684 296 20 20 CD A52264 2684 297 56 56 CD A52264 2684 298 23 23 CD A52264 2684 299 51 51 CD A52264 2684 300 20 20 CD A52264 2684 301 26 26 CD A52264 2684 302 11 11 CD A52264 2684 303 68 68 CD A52264 2684 304 0 0 CD A52264 2684 305 13 13 CD A52264 2684 306 11 11 CD A52264 2684 307 30 30 CD A52264 2684 308 20 20 CD A52264 2684 309 35 35 CD A52264 2684 310 23 23 CD A52264 2684 311 51 51 CD A52264 2684 312 13 13 CD A52264 2684 313 19 19 CD A52264 2684 314 30 30 CD A52264 2684 315 09 09 CD A52264 2684 316 53 53 CD A52264 2684 317 1 1 CD A52264 2684 318 35 35 CD A52264 2684 319 12 12 CD A52264 2684 320 80 80 CD A52264 2684 321 20 20 CD A52264 2684 322 75 75 CD A52264 2684 323 23 23 CD A52264 2684 324 50 50 CD A52264 2684 325 20 20 CD A52264 2684 326 06 06 CD A52264 2684 327 11 11 CD A52264 2684 328 35 35 CD A52264 2684 329 0 0 CD A52264 2684 330 ● ● CD A52264 2684 331 26 26 CD A52264 2684 332 11 11 CD A52264 2684 333 65 65 CD A52264 2684 334 20 20 CD A52264 2684 335 56 56 CD A52264 2684 336 23 23 CD A52264 2684 337 50 50 CD A52264 2684 338 14 14 CD A52264 2684 339 19 19 CD A52264 2684 340 05 05 CD A52264 2684 341 09 09 CD A52264 2684 342 16 16 CD A52264 2684 343 1 1 CD A52264 2684 344 73 73 CD A52264 2684 345 13 13 CD A52264 2684 346 11 11 CD A52264 2684 347 20 20 CD A52264 2684 348 93 93 CD A52264 2684 349 23 23 CD A52264 2684 350 48 48 CD A52264 2684 351 19 19 CD A52264 2684 352 85 85 CD A52264 2684 353 11 11 CD A52264 2684 354 15 15 CD A52264 2684 355 0 0 CD A52264 2684 356 65 65 CD A52264 2684 357 12 12 CD A52264 2684 358 00 00 CD A52264 2684 359 20 20 CD A52264 2684 360 76 76 CD A52264 2684 361 23 23 CD A52264 2684 362 48 48 CD A52264 2684 363 15 15 CD A52264 2684 364 18 18 CD A52264 2684 365 80 80 CD A52264 2684 366 08 08 CD A52264 2684 367 80 80 CD A52264 2684 368 2 2 CD A52264 2684 369 13 13 CD A52264 2684 370 13 13 CD A52264 2684 371 45 45 CD A52264 2684 372 21 21 CD A52264 2684 373 11 11 CD A52264 2684 374 23 23 CD A52264 2684 375 46 46 CD A52264 2684 376 19 19 CD A52264 2684 377 63 63 CD A52264 2684 378 10 10 CD A52264 2684 379 65 65 CD A52264 2684 380 1 1 CD A52264 2684 381 05 05 CD A52264 2684 382 12 12 CD A52264 2684 383 35 35 CD A52264 2684 384 20 20 CD A52264 2684 385 96 96 CD A52264 2684 386 23 23 CD A52264 2684 387 45 45 CD A52264 2684 388 16 16 CD A52264 2684 389 18 18 CD A52264 2684 390 55 55 CD A52264 2684 391 08 08 CD A52264 2684 392 41 41 CD A52264 2684 393 2 2 CD A52264 2684 394 51 51 CD A52264 2684 395 13 13 CD A52264 2684 396 76 76 CD A52264 2684 397 21 21 CD A52264 2684 398 28 28 CD A52264 2684 399 23 23 CD A52264 2684 400 43 43 CD A52264 2684 401 19 19 CD A52264 2684 402 41 41 CD A52264 2684 403 10 10 CD A52264 2684 404 30 30 CD A52264 2684 405 1 1 CD A52264 2684 406 43 43 CD A52264 2684 407 12 12 CD A52264 2684 408 68 68 CD A52264 2684 409 21 21 CD A52264 2684 410 15 15 CD A52264 2684 411 23 23 CD A52264 2684 412 41 41 CD A52264 2684 413 17 17 CD A52264 2684 414 18 18 CD A52264 2684 415 28 28 CD A52264 2684 416 08 08 CD A52264 2684 417 05 05 CD A52264 2684 418 2 2 CD A52264 2684 419 90 90 CD A52264 2684 420 14 14 CD A52264 2684 421 08 08 CD A52264 2684 422 21 21 CD A52264 2684 423 45 45 CD A52264 2684 424 23 23 CD A52264 2684 425 38 38 CD A52264 2684 426 19 19 CD A52264 2684 427 20 20 CD A52264 2684 428 9 9 CD A52264 2684 429 95 95 CD A52264 2684 430 1 1 CD A52264 2684 431 83 83 CD A52264 2684 432 13 13 CD A52264 2684 433 20 20 CD A52264 2684 434 21 21 CD A52264 2684 435 33 33 CD A52264 2684 436 23 23 CD A52264 2684 437 36 36 CD A52264 2684 438 18 18 CD A52264 2684 439 18 18 CD A52264 2684 440 03 03 CD A52264 2684 441 07 07 CD A52264 2684 442 66 66 CD A52264 2684 443 3 3 CD A52264 2684 444 30 30 CD A52264 2684 445 14 14 CD A52264 2684 446 40 40 CD A52264 2684 447 21 21 CD A52264 2684 448 61 61 CD A52264 2684 449 23 23 CD A52264 2684 450 33 33 CD A52264 2684 451 18 18 CD A52264 2684 452 96 96 CD A52264 2684 453 9 9 CD A52264 2684 454 60 60 CD A52264 2684 455 2 2 CD A52264 2684 456 21 21 CD A52264 2684 457 13 13 CD A52264 2684 458 36 36 CD A52264 2684 459 21 21 CD A52264 2684 460 51 51 CD A52264 2684 461 23 23 CD A52264 2684 462 31 31 CD A52264 2684 463 19 19 CD A52264 2684 464 17 17 CD A52264 2684 465 75 75 CD A52264 2684 466 07 07 CD A52264 2684 467 28 28 CD A52264 2684 468 3 3 CD A52264 2684 469 68 68 CD A52264 2684 470 14 14 CD A52264 2684 471 70 70 CD A52264 2684 472 21 21 CD A52264 2684 473 76 76 CD A52264 2684 474 23 23 CD A52264 2684 475 28 28 CD A52264 2684 476 18 18 CD A52264 2684 477 71 71 CD A52264 2684 478 9 9 CD A52264 2684 479 25 25 CD A52264 2684 480 2 2 CD A52264 2684 481 61 61 CD A52264 2684 482 13 13 CD A52264 2684 483 70 70 CD A52264 2684 484 21 21 CD A52264 2684 485 68 68 CD A52264 2684 486 123 123 CD A52264 2684 487 26 26 CD A52264 2684 488 20 20 CD A52264 2684 489 17 17 CD A52264 2684 490 46 46 CD A52264 2684 491 06 06 CD A52264 2684 492 90 90 CD A52264 2684 493 3 3 CD A52264 2684 494 08 08 CD A52264 2684 495 15 15 CD A52264 2684 496 01 01 CD A52264 2684 497 21 21 CD A52264 2684 498 91 91 CD A52264 2684 499 23 23 CD A52264 2684 500 23 23 CD A52264 2684 501 18 18 CD A52264 2684 502 48 48 CD A52264 2684 503 8 8 CD A52264 2684 504 88 88 CD A52264 2684 505 3 3 CD A52264 2684 506 00 00 CD A52264 2684 507 14 14 CD A52264 2684 508 03 03 CD A52264 2684 509 21 21 CD A52264 2684 510 83 83 CD A52264 2684 511 23 23 CD A52264 2684 512 20 20 CD A52264 2684 513 21 21 CD A52264 2684 514 17 17 CD A52264 2684 515 18 18 CD A52264 2684 516 06 06 CD A52264 2684 517 51 51 CD A52264 2684 518 4 4 CD A52264 2684 519 46 46 CD A52264 2684 520 15 15 CD A52264 2684 521 31 31 CD A52264 2684 522 22 22 CD A52264 2684 523 06 06 CD A52264 2684 524 23 23 CD A52264 2684 525 16 16 CD A52264 2684 526 18 18 CD A52264 2684 527 23 23 CD A52264 2684 528 8 8 CD A52264 2684 529 51 51 CD A52264 2684 530 3 3 CD A52264 2684 531 38 38 CD A52264 2684 532 14 14 CD A52264 2684 533 35 35 CD A52264 2684 534 22 22 CD A52264 2684 535 00 00 CD A52264 2684 536 23 23 CD A52264 2684 537 11 11 CD A52264 2684 538 22 22 CD A52264 2684 539 16 16 CD A52264 2684 540 90 90 CD A52264 2684 541 06 06 CD A52264 2684 542 13 13 CD A52264 2684 543 4 4 CD A52264 2684 544 85 85 CD A52264 2684 545 15 15 CD A52264 2684 546 61 61 CD A52264 2684 547 22 22 CD A52264 2684 548 20 20 CD A52264 2684 549 23 23 CD A52264 2684 550 10 10 CD A52264 2684 551 17 17 CD A52264 2684 552 98 98 CD A52264 2684 553 8 8 CD A52264 2684 554 15 15 CD A52264 2684 555 3 3 CD A52264 2684 556 78 78 CD A52264 2684 557 14 14 CD A52264 2684 558 68 68 CD A52264 2684 559 22 22 CD A52264 2684 560 15 15 CD A52264 2684 561 23 23 CD A52264 2684 562 03 03 CD A52264 2684 563 23 23 CD A52264 2684 564 16 16 CD A52264 2684 565 60 60 CD A52264 2684 566 05 05 CD A52264 2684 567 75 75 CD A52264 2684 568 5 5 CD A52264 2684 569 23 23 CD A52264 2684 570 15 15 CD A52264 2684 571 90 90 CD A52264 2684 572 22 22 CD A52264 2684 573 33 33 CD A52264 2684 574 23 23 CD A52264 2684 575 01 01 CD A52264 2684 576 17 17 CD A52264 2684 577 73 73 CD A52264 2684 578 7 7 CD A52264 2684 579 78 78 CD A52264 2684 580 4 4 CD A52264 2684 581 16 16 CD A52264 2684 582 15 15 CD A52264 2684 583 00 00 CD A52264 2684 584 22 22 CD A52264 2684 585 28 28 CD A52264 2684 586 22 22 CD A52264 2684 587 95 95 CD A52264 2684 588 24 24 CD A52264 2684 589 16 16 CD A52264 2684 590 30 30 CD A52264 2684 591 05 05 CD A52264 2684 592 35 35 CD A52264 2684 593 5 5 CD A52264 2684 594 61 61 CD A52264 2684 595 16 16 CD A52264 2684 596 20 20 CD A52264 2684 597 22 22 CD A52264 2684 598 45 45 CD A52264 2684 599 22 22 CD A52264 2684 600 91 91 CD A52264 2684 601 17 17 CD A52264 2684 602 46 46 CD A52264 2684 603 7 7 CD A52264 2684 604 41 41 CD A52264 2684 605 4 4 CD A52264 2684 606 55 55 CD A52264 2684 607 15 15 CD A52264 2684 608 31 31 CD A52264 2684 609 22 22 CD A52264 2684 610 41 41 CD A52264 2684 611 22 22 CD A52264 2684 612 85 85 CD A52264 2684 613 25 25 CD A52264 2684 614 16 16 CD A52264 2684 615 00 00 CD A52264 2684 616 04 04 CD A52264 2684 617 96 96 CD A52264 2684 618 6 6 CD A52264 2684 619 00 00 CD A52264 2684 620 16 16 CD A52264 2684 621 48 48 CD A52264 2684 622 22 22 CD A52264 2684 623 56 56 CD A52264 2684 624 22 22 CD A52264 2684 625 83 83 CD A52264 2684 626 17 17 CD A52264 2684 627 20 20 CD A52264 2684 628 7 7 CD A52264 2684 629 05 05 CD A52264 2684 630 4 4 CD A52264 2684 631 95 95 CD A52264 2684 632 15 15 CD A52264 2684 633 61 61 CD A52264 2684 634 22 22 CD A52264 2684 635 55 55 CD A52264 2684 636 22 22 CD A52264 2684 637 73 73 CD A52264 2684 638 26 26 CD A52264 2684 639 15 15 CD A52264 2684 640 70 70 CD A52264 2684 641 04 04 CD A52264 2684 642 56 56 CD A52264 2684 643 6 6 CD A52264 2684 644 36 36 CD A52264 2684 645 16 16 CD A52264 2684 646 76 76 CD A52264 2684 647 22 22 CD A52264 2684 648 68 68 CD A52264 2684 649 22 22 CD A52264 2684 650 73 73 CD A52264 2684 651 16 16 CD A52264 2684 652 93 93 CD A52264 2684 653 6 6 CD A52264 2684 654 68 68 CD A52264 2684 655 5 5 CD A52264 2684 656 33 33 CD A52264 2684 657 15 15 CD A52264 2684 658 91 91 CD A52264 2684 659 22 22 CD A52264 2684 660 66 66 CD A52264 2684 661 22 22 CD A52264 2684 662 61 61 CD A52264 2684 663 27 27 CD A52264 2684 664 15 15 CD A52264 2684 665 38 38 CD A52264 2684 666 04 04 CD A52264 2684 667 18 18 CD A52264 2684 668 6 6 CD A52264 2684 669 75 75 CD A52264 2684 670 17 17 CD A52264 2684 671 03 03 CD A52264 2684 672 22 22 CD A52264 2684 673 78 78 CD A52264 2684 674 22 22 CD A52264 2684 675 61 61 CD A52264 2684 676 16 16 CD A52264 2684 677 65 65 CD A52264 2684 678 6 6 CD A52264 2684 679 30 30 CD A52264 2684 680 5 5 CD A52264 2684 681 71 71 CD A52264 2684 682 16 16 CD A52264 2684 683 21 21 CD A52264 2684 684 22 22 CD A52264 2684 685 76 76 CD A52264 2684 686 22 22 CD A52264 2684 687 50 50 CD A52264 2684 688 28 28 CD A52264 2684 689 15 15 CD A52264 2684 690 06 06 CD A52264 2684 691 03 03 CD A52264 2684 692 78 78 CD A52264 2684 693 7 7 CD A52264 2684 694 11 11 CD A52264 2684 695 17 17 CD A52264 2684 696 30 30 CD A52264 2684 697 22 22 CD A52264 2684 698 88 88 CD A52264 2684 699 22 22 CD A52264 2684 700 51 51 CD A52264 2684 701 16 16 CD A52264 2684 702 36 36 CD A52264 2684 703 5 5 CD A52264 2684 704 93 93 CD A52264 2684 705 6 6 CD A52264 2684 706 10 10 CD A52264 2684 707 16 16 CD A52264 2684 708 51 51 CD A52264 2684 709 22 22 CD A52264 2684 710 86 86 CD A52264 2684 711 22 22 CD A52264 2684 712 36 36 CD A52264 2684 713 29 29 CD A52264 2684 714 14 14 CD A52264 2684 715 75 75 CD A52264 2684 716     _SP A52264 2684 717 7 7 CD A52264 2684 718 50 50 CD A52264 2684 719 17 17 CD A52264 2684 720 56 56 CD A52264 2684 721 22 22 CD A52264 2684 722 96 96 CD A52264 2684 723 22 22 CD A52264 2684 724 38 38 CD A52264 2684 725 16 16 CD A52264 2684 726 08 08 CD A52264 2684 727 5 5 CD A52264 2684 728 55 55 CD A52264 2684 729 6 6 CD A52264 2684 730 48 48 CD A52264 2684 731 16 16 CD A52264 2684 732 81 81 CD A52264 2684 733 22 22 CD A52264 2684 734 96 96 CD A52264 2684 735 22 22 CD A52264 2684 736 ● ● CD A52264 2684 737 ● ● NFP A52264 2684 738 30 30 CD A52264 2684 739 14 14 CD A52264 2684 740 43 43 CD A52264 2684 741     _SP A52264 2684 742 7 7 CD A52264 2684 743 86 86 CD A52264 2684 744 17 17 CD A52264 2684 745 83 83 CD A52264 2684 746 23 23 CD A52264 2684 747 05 05 CD A52264 2684 748 22 22 CD A52264 2684 749 26 26 CD A52264 2684 750 15 15 CD A52264 2684 751 80 80 CD A52264 2684 752 5 5 CD A52264 2684 753 16 16 CD A52264 2684 754 6 6 CD A52264 2684 755 86 86 CD A52264 2684 756 17 17 CD A52264 2684 757 10 10 CD A52264 2684 758 23 23 CD A52264 2684 759 06 06 CD A52264 2684 760 22 22 CD A52264 2684 761 08 08 CD A52264 2684 762 31 31 CD A52264 2684 763 14 14 CD A52264 2684 764 10 10 CD A52264 2684 765     _SP A52264 2684 766 8 8 CD A52264 2684 767 23 23 CD A52264 2684 768     _SP A52264 2684 769 23 23 CD A52264 2684 770 13 13 CD A52264 2684 771     _SP A52264 2684 772 15 15 CD A52264 2684 773 50 50 CD A52264 2684 774 4 4 CD A52264 2684 775 78 78 CD A52264 2684 776     _SP A52264 2684 777 17 17 CD A52264 2684 778 38 38 CD A52264 2684 779     _SP A52264 2684 780 21 21 CD A52264 2684 781 93 93 CD A52264 2684 782 A a DT A52264 2684 783 Table table NN A52264 2684 784 of of IN A52264 2684 785 the the DT A52264 2684 786 Suns Suns NNPS A52264 2684 787 right right JJ A52264 2684 788 Ascension ascension NN A52264 2684 789 in in IN A52264 2684 790 hours hour NNS A52264 2684 791 and and CC A52264 2684 792 minutes minute NNS A52264 2684 793 . . . A52264 2685 1 Janu Janu NNP A52264 2685 2 Febr Febr NNP A52264 2685 3 . . . A52264 2686 1 Mar. March NNP A52264 2687 1 Apr. April NNP A52264 2688 1 May May NNP A52264 2688 2 Iune Iune NNP A52264 2688 3 Jul Jul NNP A52264 2688 4 Aug. August NNP A52264 2688 5 Sept. September NNP A52264 2688 6 Octo Octo NNP A52264 2688 7 . . . A52264 2689 1 Nov. November NNP A52264 2689 2 Dece Dece NNP A52264 2689 3 . . . A52264 2690 1 Dayes Dayes NNP A52264 2690 2 H. H. NNP A52264 2690 3 M. M. NNP A52264 2690 4 H. H. NNP A52264 2690 5 M. M. NNP A52264 2690 6 H. H. NNP A52264 2690 7 M. M. NNP A52264 2690 8 H H NNP A52264 2690 9 M M NNP A52264 2690 10 H. H. NNP A52264 2690 11 M M NNP A52264 2690 12 H. H. NNP A52264 2690 13 M M NNP A52264 2690 14 H H NNP A52264 2690 15 M M NNP A52264 2690 16 H. H. NNP A52264 2690 17 M M NNP A52264 2690 18 H. H. NNP A52264 2690 19 M M NNP A52264 2690 20 H. H. NNP A52264 2690 21 M M NNP A52264 2690 22 H. H. NNP A52264 2690 23 M M NNP A52264 2690 24 H. H. NNP A52264 2690 25 M M NNP A52264 2690 26 1 1 CD A52264 2690 27 19 19 CD A52264 2690 28 53 53 CD A52264 2690 29 21 21 CD A52264 2690 30 68 68 CD A52264 2690 31 23 23 CD A52264 2690 32 45 45 CD A52264 2690 33 1 1 CD A52264 2690 34 33 33 CD A52264 2690 35 3 3 CD A52264 2690 36 21 21 CD A52264 2690 37 5 5 CD A52264 2690 38 30 30 CD A52264 2690 39 7 7 CD A52264 2690 40 36 36 CD A52264 2690 41 9 9 CD A52264 2690 42 40 40 CD A52264 2690 43 11 11 CD A52264 2690 44 30 30 CD A52264 2690 45 13 13 CD A52264 2690 46 10 10 CD A52264 2690 47 15 15 CD A52264 2690 48 10 10 CD A52264 2690 49 17 17 CD A52264 2690 50 23 23 CD A52264 2690 51 2 2 CD A52264 2690 52 19 19 CD A52264 2690 53 61 61 CD A52264 2690 54 21 21 CD A52264 2690 55 75 75 CD A52264 2690 56 23 23 CD A52264 2690 57 51 51 CD A52264 2690 58 1 1 CD A52264 2690 59 38 38 CD A52264 2690 60 3 3 CD A52264 2690 61 28 28 CD A52264 2690 62 5 5 CD A52264 2690 63 36 36 CD A52264 2690 64 7 7 CD A52264 2690 65 43 43 CD A52264 2690 66 9 9 CD A52264 2690 67 46 46 CD A52264 2690 68 11 11 CD A52264 2690 69 35 35 CD A52264 2690 70 13 13 CD A52264 2690 71 16 16 CD A52264 2690 72 15 15 CD A52264 2690 73 16 16 CD A52264 2690 74 17 17 CD A52264 2690 75 31 31 CD A52264 2690 76 3 3 CD A52264 2690 77 19 19 CD A52264 2690 78 68 68 CD A52264 2690 79 21 21 CD A52264 2690 80 81 81 CD A52264 2690 81 23 23 CD A52264 2690 82 56 56 CD A52264 2690 83 1 1 CD A52264 2690 84 45 45 CD A52264 2690 85 3 3 CD A52264 2690 86 35 35 CD A52264 2690 87 5 5 CD A52264 2690 88 43 43 CD A52264 2690 89 7 7 CD A52264 2690 90 50 50 CD A52264 2690 91 9 9 CD A52264 2690 92 51 51 CD A52264 2690 93 11 11 CD A52264 2690 94 41 41 CD A52264 2690 95 13 13 CD A52264 2690 96 23 23 CD A52264 2690 97 15 15 CD A52264 2690 98 23 23 CD A52264 2690 99 17 17 CD A52264 2690 100 38 38 CD A52264 2690 101 4 4 CD A52264 2690 102 19 19 CD A52264 2690 103 75 75 CD A52264 2690 104 21 21 CD A52264 2690 105 88 88 CD A52264 2690 106 23 23 CD A52264 2690 107 63 63 CD A52264 2690 108 1 1 CD A52264 2690 109 51 51 CD A52264 2690 110 3 3 CD A52264 2690 111 40 40 CD A52264 2690 112 5 5 CD A52264 2690 113 50 50 CD A52264 2690 114 7 7 CD A52264 2690 115 56 56 CD A52264 2690 116 9 9 CD A52264 2690 117 58 58 CD A52264 2690 118 11 11 CD A52264 2690 119 48 48 CD A52264 2690 120 13 13 CD A52264 2690 121 28 28 CD A52264 2690 122 15 15 CD A52264 2690 123 30 30 CD A52264 2690 124 17 17 CD A52264 2690 125 45 45 CD A52264 2690 126 5 5 CD A52264 2690 127 19 19 CD A52264 2690 128 83 83 CD A52264 2690 129 21 21 CD A52264 2690 130 95 95 CD A52264 2690 131 23 23 CD A52264 2690 132 70 70 CD A52264 2690 133 1 1 CD A52264 2690 134 56 56 CD A52264 2690 135 3 3 CD A52264 2690 136 46 46 CD A52264 2690 137 5 5 CD A52264 2690 138 56 56 CD A52264 2690 139 7 7 CD A52264 2690 140 63 63 CD A52264 2690 141 9 9 CD A52264 2690 142 65 65 CD A52264 2690 143 11 11 CD A52264 2690 144 53 53 CD A52264 2690 145 13 13 CD A52264 2690 146 35 35 CD A52264 2690 147 15 15 CD A52264 2690 148 38 38 CD A52264 2690 149 17 17 CD A52264 2690 150 53 53 CD A52264 2690 151 6 6 CD A52264 2690 152 19 19 CD A52264 2690 153 90 90 CD A52264 2690 154 22 22 CD A52264 2690 155 00 00 CD A52264 2690 156 23 23 CD A52264 2690 157 75 75 CD A52264 2690 158 1 1 CD A52264 2690 159 63 63 CD A52264 2690 160 3 3 CD A52264 2690 161 53 53 CD A52264 2690 162 5 5 CD A52264 2690 163 63 63 CD A52264 2690 164 7 7 CD A52264 2690 165 70 70 CD A52264 2690 166 9 9 CD A52264 2690 167 71 71 CD A52264 2690 168 11 11 CD A52264 2690 169 60 60 CD A52264 2690 170 13 13 CD A52264 2690 171 41 41 CD A52264 2690 172 15 15 CD A52264 2690 173 45 45 CD A52264 2690 174 17 17 CD A52264 2690 175 60 60 CD A52264 2690 176 7 7 CD A52264 2690 177 19 19 CD A52264 2690 178 96 96 CD A52264 2690 179 22 22 CD A52264 2690 180 06 06 CD A52264 2690 181 23 23 CD A52264 2690 182 81 81 CD A52264 2690 183 1 1 CD A52264 2690 184 70 70 CD A52264 2690 185 3 3 CD A52264 2690 186 60 60 CD A52264 2690 187 5 5 CD A52264 2690 188 71 71 CD A52264 2690 189 7 7 CD A52264 2690 190 76 76 CD A52264 2690 191 9 9 CD A52264 2690 192 76 76 CD A52264 2690 193 11 11 CD A52264 2690 194 65 65 CD A52264 2690 195 13 13 CD A52264 2690 196 48 48 CD A52264 2690 197 15 15 CD A52264 2690 198 51 51 CD A52264 2690 199 17 17 CD A52264 2690 200 68 68 CD A52264 2690 201 8 8 CD A52264 2690 202 20 20 CD A52264 2690 203 05 05 CD A52264 2690 204 22 22 CD A52264 2690 205 13 13 CD A52264 2690 206 23 23 CD A52264 2690 207 86 86 CD A52264 2690 208 1 1 CD A52264 2690 209 75 75 CD A52264 2690 210 3 3 CD A52264 2690 211 66 66 CD A52264 2690 212 5 5 CD A52264 2690 213 78 78 CD A52264 2690 214 7 7 CD A52264 2690 215 83 83 CD A52264 2690 216 9 9 CD A52264 2690 217 83 83 CD A52264 2690 218 11 11 CD A52264 2690 219 71 71 CD A52264 2690 220 13 13 CD A52264 2690 221 53 53 CD A52264 2690 222 15 15 CD A52264 2690 223 58 58 CD A52264 2690 224 17 17 CD A52264 2690 225 75 75 CD A52264 2690 226 9 9 CD A52264 2690 227 20 20 CD A52264 2690 228 11 11 CD A52264 2690 229 22 22 CD A52264 2690 230 20 20 CD A52264 2690 231 23 23 CD A52264 2690 232 93 93 CD A52264 2690 233 1 1 CD A52264 2690 234 81 81 CD A52264 2690 235 3 3 CD A52264 2690 236 73 73 CD A52264 2690 237 5 5 CD A52264 2690 238 85 85 CD A52264 2690 239 7 7 CD A52264 2690 240 90 90 CD A52264 2690 241 9 9 CD A52264 2690 242 90 90 CD A52264 2690 243 11 11 CD A52264 2690 244 78 78 CD A52264 2690 245 13 13 CD A52264 2690 246 60 60 CD A52264 2690 247 15 15 CD A52264 2690 248 65 65 CD A52264 2690 249 17 17 CD A52264 2690 250 83 83 CD A52264 2690 251 10 10 CD A52264 2690 252 20 20 CD A52264 2690 253 18 18 CD A52264 2690 254 22 22 CD A52264 2690 255 26 26 CD A52264 2690 256 00 00 CD A52264 2690 257 00 00 CD A52264 2690 258 1 1 CD A52264 2690 259 88 88 CD A52264 2690 260 3 3 CD A52264 2690 261 80 80 CD A52264 2690 262 5 5 CD A52264 2690 263 91 91 CD A52264 2690 264 7 7 CD A52264 2690 265 96 96 CD A52264 2690 266 9 9 CD A52264 2690 267 96 96 CD A52264 2690 268 11 11 CD A52264 2690 269 83 83 CD A52264 2690 270 13 13 CD A52264 2690 271 66 66 CD A52264 2690 272 15 15 CD A52264 2690 273 71 71 CD A52264 2690 274 17 17 CD A52264 2690 275 90 90 CD A52264 2690 276 11 11 CD A52264 2690 277 20 20 CD A52264 2690 278 25 25 CD A52264 2690 279 22 22 CD A52264 2690 280 33 33 CD A52264 2690 281 0 0 CD A52264 2690 282 05 05 CD A52264 2690 283 1 1 CD A52264 2690 284 95 95 CD A52264 2690 285 3 3 CD A52264 2690 286 86 86 CD A52264 2690 287 5 5 CD A52264 2690 288 98 98 CD A52264 2690 289 8 8 CD A52264 2690 290 03 03 CD A52264 2690 291 10 10 CD A52264 2690 292 01 01 CD A52264 2690 293 11 11 CD A52264 2690 294 90 90 CD A52264 2690 295 13 13 CD A52264 2690 296 73 73 CD A52264 2690 297 15 15 CD A52264 2690 298 80 80 CD A52264 2690 299 17 17 CD A52264 2690 300 98 98 CD A52264 2690 301 12 12 CD A52264 2690 302 20 20 CD A52264 2690 303 33 33 CD A52264 2690 304 22 22 CD A52264 2690 305 40 40 CD A52264 2690 306 0 0 CD A52264 2690 307 11 11 CD A52264 2690 308 2 2 CD A52264 2690 309 00 00 CD A52264 2690 310 3 3 CD A52264 2690 311 93 93 CD A52264 2690 312 6 6 CD A52264 2690 313 05 05 CD A52264 2690 314 8 8 CD A52264 2690 315 10 10 CD A52264 2690 316 10 10 CD A52264 2690 317 08 08 CD A52264 2690 318 11 11 CD A52264 2690 319 95 95 CD A52264 2690 320 13 13 CD A52264 2690 321 80 80 CD A52264 2690 322 15 15 CD A52264 2690 323 86 86 CD A52264 2690 324 18 18 CD A52264 2690 325 05 05 CD A52264 2690 326 13 13 CD A52264 2690 327 20 20 CD A52264 2690 328 40 40 CD A52264 2690 329 22 22 CD A52264 2690 330 45 45 CD A52264 2690 331 0 0 CD A52264 2690 332 18 18 CD A52264 2690 333 2 2 CD A52264 2690 334 06 06 CD A52264 2690 335 4 4 CD A52264 2690 336 0 0 CD A52264 2690 337 ● ● CD A52264 2690 338 6 6 CD A52264 2690 339 13 13 CD A52264 2690 340 8 8 CD A52264 2690 341 16 16 CD A52264 2690 342 10 10 CD A52264 2690 343 15 15 CD A52264 2690 344 12 12 CD A52264 2690 345 01 01 CD A52264 2690 346 13 13 CD A52264 2690 347 85 85 CD A52264 2690 348 15 15 CD A52264 2690 349 93 93 CD A52264 2690 350 18 18 CD A52264 2690 351 11 11 CD A52264 2690 352 14 14 CD A52264 2690 353 20 20 CD A52264 2690 354 46 46 CD A52264 2690 355 22 22 CD A52264 2690 356 51 51 CD A52264 2690 357 0 0 CD A52264 2690 358 23 23 CD A52264 2690 359 2 2 CD A52264 2690 360 13 13 CD A52264 2690 361 4 4 CD A52264 2690 362 06 06 CD A52264 2690 363 6 6 CD A52264 2690 364 20 20 CD A52264 2690 365 8 8 CD A52264 2690 366 23 23 CD A52264 2690 367 10 10 CD A52264 2690 368 20 20 CD A52264 2690 369 12 12 CD A52264 2690 370 06 06 CD A52264 2690 371 13 13 CD A52264 2690 372 91 91 CD A52264 2690 373 16 16 CD A52264 2690 374 00 00 CD A52264 2690 375 18 18 CD A52264 2690 376 20 20 CD A52264 2690 377 15 15 CD A52264 2690 378 20 20 CD A52264 2690 379 53 53 CD A52264 2690 380 22 22 CD A52264 2690 381 58 58 CD A52264 2690 382 0 0 CD A52264 2690 383 30 30 CD A52264 2690 384 2 2 CD A52264 2690 385 18 18 CD A52264 2690 386 4 4 CD A52264 2690 387 13 13 CD A52264 2690 388 6 6 CD A52264 2690 389 26 26 CD A52264 2690 390 8 8 CD A52264 2690 391 30 30 CD A52264 2690 392 10 10 CD A52264 2690 393 26 26 CD A52264 2690 394 12 12 CD A52264 2690 395 13 13 CD A52264 2690 396 13 13 CD A52264 2690 397 98 98 CD A52264 2690 398 16 16 CD A52264 2690 399 08 08 CD A52264 2690 400 18 18 CD A52264 2690 401 26 26 CD A52264 2690 402 16 16 CD A52264 2690 403 20 20 CD A52264 2690 404 60 60 CD A52264 2690 405 22 22 CD A52264 2690 406 65 65 CD A52264 2690 407 0 0 CD A52264 2690 408 35 35 CD A52264 2690 409 2 2 CD A52264 2690 410 25 25 CD A52264 2690 411 4 4 CD A52264 2690 412 20 20 CD A52264 2690 413 6 6 CD A52264 2690 414 33 33 CD A52264 2690 415 8 8 CD A52264 2690 416 36 36 CD A52264 2690 417 10 10 CD A52264 2690 418 33 33 CD A52264 2690 419 12 12 CD A52264 2690 420 20 20 CD A52264 2690 421 14 14 CD A52264 2690 422 05 05 CD A52264 2690 423 16 16 CD A52264 2690 424 10 10 CD A52264 2690 425 18 18 CD A52264 2690 426 35 35 CD A52264 2690 427 17 17 CD A52264 2690 428 20 20 CD A52264 2690 429 66 66 CD A52264 2690 430 22 22 CD A52264 2690 431 70 70 CD A52264 2690 432 0 0 CD A52264 2690 433 41 41 CD A52264 2690 434 2 2 CD A52264 2690 435 31 31 CD A52264 2690 436 4 4 CD A52264 2690 437 26 26 CD A52264 2690 438 6 6 CD A52264 2690 439 40 40 CD A52264 2690 440 8 8 CD A52264 2690 441 43 43 CD A52264 2690 442 10 10 CD A52264 2690 443 38 38 CD A52264 2690 444 12 12 CD A52264 2690 445 25 25 CD A52264 2690 446 14 14 CD A52264 2690 447 11 11 CD A52264 2690 448 16 16 CD A52264 2690 449 21 21 CD A52264 2690 450 18 18 CD A52264 2690 451 41 41 CD A52264 2690 452 18 18 CD A52264 2690 453 20 20 CD A52264 2690 454 75 75 CD A52264 2690 455 20 20 CD A52264 2690 456 76 76 CD A52264 2690 457 0 0 CD A52264 2690 458 48 48 CD A52264 2690 459 2 2 CD A52264 2690 460 38 38 CD A52264 2690 461 4 4 CD A52264 2690 462 33 33 CD A52264 2690 463 6 6 CD A52264 2690 464 40 40 CD A52264 2690 465 8 8 CD A52264 2690 466 50 50 CD A52264 2690 467 10 10 CD A52264 2690 468 45 45 CD A52264 2690 469 12 12 CD A52264 2690 470 31 31 CD A52264 2690 471 14 14 CD A52264 2690 472 18 18 CD A52264 2690 473 16 16 CD A52264 2690 474 28 28 CD A52264 2690 475 18 18 CD A52264 2690 476 50 50 CD A52264 2690 477 19 19 CD A52264 2690 478 20 20 CD A52264 2690 479 81 81 CD A52264 2690 480 22 22 CD A52264 2690 481 83 83 CD A52264 2690 482 0 0 CD A52264 2690 483 53 53 CD A52264 2690 484 2 2 CD A52264 2690 485 45 45 CD A52264 2690 486 4 4 CD A52264 2690 487 40 40 CD A52264 2690 488 6 6 CD A52264 2690 489 53 53 CD A52264 2690 490 8 8 CD A52264 2690 491 56 56 CD A52264 2690 492 10 10 CD A52264 2690 493 51 51 CD A52264 2690 494 12 12 CD A52264 2690 495 38 38 CD A52264 2690 496 14 14 CD A52264 2690 497 23 23 CD A52264 2690 498 16 16 CD A52264 2690 499 36 36 CD A52264 2690 500 18 18 CD A52264 2690 501 56 56 CD A52264 2690 502 20 20 CD A52264 2690 503 20 20 CD A52264 2690 504 88 88 CD A52264 2690 505 22 22 CD A52264 2690 506 90 90 CD A52264 2690 507 0 0 CD A52264 2690 508 60 60 CD A52264 2690 509 2 2 CD A52264 2690 510 50 50 CD A52264 2690 511 4 4 CD A52264 2690 512 46 46 CD A52264 2690 513 6 6 CD A52264 2690 514 61 61 CD A52264 2690 515 8 8 CD A52264 2690 516 63 63 CD A52264 2690 517 10 10 CD A52264 2690 518 56 56 CD A52264 2690 519 12 12 CD A52264 2690 520 43 43 CD A52264 2690 521 14 14 CD A52264 2690 522 30 30 CD A52264 2690 523 16 16 CD A52264 2690 524 43 43 CD A52264 2690 525 18 18 CD A52264 2690 526 65 65 CD A52264 2690 527 21 21 CD A52264 2690 528 20 20 CD A52264 2690 529 95 95 CD A52264 2690 530 22 22 CD A52264 2690 531 95 95 CD A52264 2690 532 0 0 CD A52264 2690 533 66 66 CD A52264 2690 534 2 2 CD A52264 2690 535 56 56 CD A52264 2690 536 4 4 CD A52264 2690 537 55 55 CD A52264 2690 538 6 6 CD A52264 2690 539 68 68 CD A52264 2690 540 8 8 CD A52264 2690 541 70 70 CD A52264 2690 542 10 10 CD A52264 2690 543 63 63 CD A52264 2690 544 12 12 CD A52264 2690 545 50 50 CD A52264 2690 546 14 14 CD A52264 2690 547 36 36 CD A52264 2690 548 16 16 CD A52264 2690 549 50 50 CD A52264 2690 550 18 18 CD A52264 2690 551 71 71 CD A52264 2690 552 22 22 CD A52264 2690 553 21 21 CD A52264 2690 554 01 01 CD A52264 2690 555 23 23 CD A52264 2690 556 01 01 CD A52264 2690 557 0 0 CD A52264 2690 558 71 71 CD A52264 2690 559 2 2 CD A52264 2690 560 63 63 CD A52264 2690 561 4 4 CD A52264 2690 562 61 61 CD A52264 2690 563 6 6 CD A52264 2690 564 75 75 CD A52264 2690 565 8 8 CD A52264 2690 566 76 76 CD A52264 2690 567 10 10 CD A52264 2690 568 70 70 CD A52264 2690 569 12 12 CD A52264 2690 570 55 55 CD A52264 2690 571 14 14 CD A52264 2690 572 43 43 CD A52264 2690 573 16 16 CD A52264 2690 574 58 58 CD A52264 2690 575 18 18 CD A52264 2690 576 80 80 CD A52264 2690 577 23 23 CD A52264 2690 578 21 21 CD A52264 2690 579 08 08 CD A52264 2690 580 23 23 CD A52264 2690 581 08 08 CD A52264 2690 582 0 0 CD A52264 2690 583 78 78 CD A52264 2690 584 2 2 CD A52264 2690 585 70 70 CD A52264 2690 586 4 4 CD A52264 2690 587 68 68 CD A52264 2690 588 6 6 CD A52264 2690 589 81 81 CD A52264 2690 590 8 8 CD A52264 2690 591 81 81 CD A52264 2690 592 10 10 CD A52264 2690 593 75 75 CD A52264 2690 594 12 12 CD A52264 2690 595 61 61 CD A52264 2690 596 14 14 CD A52264 2690 597 50 50 CD A52264 2690 598 16 16 CD A52264 2690 599 65 65 CD A52264 2690 600 18 18 CD A52264 2690 601 86 86 CD A52264 2690 602 24 24 CD A52264 2690 603 21 21 CD A52264 2690 604 15 15 CD A52264 2690 605 23 23 CD A52264 2690 606 13 13 CD A52264 2690 607 0 0 CD A52264 2690 608 83 83 CD A52264 2690 609 2 2 CD A52264 2690 610 76 76 CD A52264 2690 611 4 4 CD A52264 2690 612 75 75 CD A52264 2690 613 6 6 CD A52264 2690 614 88 88 CD A52264 2690 615 8 8 CD A52264 2690 616 88 88 CD A52264 2690 617 10 10 CD A52264 2690 618 81 81 CD A52264 2690 619 12 12 CD A52264 2690 620 68 68 CD A52264 2690 621 14 14 CD A52264 2690 622 56 56 CD A52264 2690 623 16 16 CD A52264 2690 624 71 71 CD A52264 2690 625 18 18 CD A52264 2690 626 93 93 CD A52264 2690 627 25 25 CD A52264 2690 628 21 21 CD A52264 2690 629 21 21 CD A52264 2690 630 23 23 CD A52264 2690 631 20 20 CD A52264 2690 632 0 0 CD A52264 2690 633 90 90 CD A52264 2690 634 2 2 CD A52264 2690 635 81 81 CD A52264 2690 636 4 4 CD A52264 2690 637 81 81 CD A52264 2690 638 6 6 CD A52264 2690 639 95 95 CD A52264 2690 640 8 8 CD A52264 2690 641 95 95 CD A52264 2690 642 10 10 CD A52264 2690 643 88 88 CD A52264 2690 644 12 12 CD A52264 2690 645 73 73 CD A52264 2690 646 14 14 CD A52264 2690 647 63 63 CD A52264 2690 648 16 16 CD A52264 2690 649 80 80 CD A52264 2690 650 19 19 CD A52264 2690 651 01 01 CD A52264 2690 652 26 26 CD A52264 2690 653 21 21 CD A52264 2690 654 28 28 CD A52264 2690 655 23 23 CD A52264 2690 656 26 26 CD A52264 2690 657 0 0 CD A52264 2690 658 96 96 CD A52264 2690 659 2 2 CD A52264 2690 660 88 88 CD A52264 2690 661 4 4 CD A52264 2690 662 88 88 CD A52264 2690 663 7 7 CD A52264 2690 664 01 01 CD A52264 2690 665 9 9 CD A52264 2690 666 01 01 CD A52264 2690 667 10 10 CD A52264 2690 668 93 93 CD A52264 2690 669 12 12 CD A52264 2690 670 80 80 CD A52264 2690 671 14 14 CD A52264 2690 672 70 70 CD A52264 2690 673 16 16 CD A52264 2690 674 86 86 CD A52264 2690 675 19 19 CD A52264 2690 676 08 08 CD A52264 2690 677 27 27 CD A52264 2690 678 21 21 CD A52264 2690 679 35 35 CD A52264 2690 680 23 23 CD A52264 2690 681 33 33 CD A52264 2690 682 1 1 CD A52264 2690 683 01 01 CD A52264 2690 684 2 2 CD A52264 2690 685 95 95 CD A52264 2690 686 4 4 CD A52264 2690 687 95 95 CD A52264 2690 688 7 7 CD A52264 2690 689 10 10 CD A52264 2690 690 9 9 CD A52264 2690 691 08 08 CD A52264 2690 692 11 11 CD A52264 2690 693 00 00 CD A52264 2690 694 12 12 CD A52264 2690 695 86 86 CD A52264 2690 696 14 14 CD A52264 2690 697 76 76 CD A52264 2690 698 16 16 CD A52264 2690 699 93 93 CD A52264 2690 700 19 19 CD A52264 2690 701 16 16 CD A52264 2690 702 28 28 CD A52264 2690 703 21 21 CD A52264 2690 704 41 41 CD A52264 2690 705 23 23 CD A52264 2690 706 38 38 CD A52264 2690 707 1 1 CD A52264 2690 708 08 08 CD A52264 2690 709 3 3 CD A52264 2690 710 01 01 CD A52264 2690 711 5 5 CD A52264 2690 712 01 01 CD A52264 2690 713 7 7 CD A52264 2690 714 16 16 CD A52264 2690 715 9 9 CD A52264 2690 716 15 15 CD A52264 2690 717 11 11 CD A52264 2690 718 05 05 CD A52264 2690 719 12 12 CD A52264 2690 720 91 91 CD A52264 2690 721 14 14 CD A52264 2690 722 83 83 CD A52264 2690 723 17 17 CD A52264 2690 724 01 01 CD A52264 2690 725 19 19 CD A52264 2690 726 23 23 CD A52264 2690 727 29 29 CD A52264 2690 728 21 21 CD A52264 2690 729 48 48 CD A52264 2690 730         _SP A52264 2690 731 1 1 CD A52264 2690 732 15 15 CD A52264 2690 733 3 3 CD A52264 2690 734 08 08 CD A52264 2690 735 5 5 CD A52264 2690 736 08 08 CD A52264 2690 737 7 7 CD A52264 2690 738 23 23 CD A52264 2690 739 9 9 CD A52264 2690 740 21 21 CD A52264 2690 741 11 11 CD A52264 2690 742 11 11 CD A52264 2690 743 12 12 CD A52264 2690 744 98 98 CD A52264 2690 745 14 14 CD A52264 2690 746 90 90 CD A52264 2690 747 17 17 CD A52264 2690 748 08 08 CD A52264 2690 749 19 19 CD A52264 2690 750 30 30 CD A52264 2690 751 30 30 CD A52264 2690 752 21 21 CD A52264 2690 753 55 55 CD A52264 2690 754         _SP A52264 2690 755 1 1 CD A52264 2690 756 20 20 CD A52264 2690 757 3 3 CD A52264 2690 758 15 15 CD A52264 2690 759 5 5 CD A52264 2690 760 16 16 CD A52264 2690 761 7 7 CD A52264 2690 762 30 30 CD A52264 2690 763 9 9 CD A52264 2690 764 26 26 CD A52264 2690 765 11 11 CD A52264 2690 766 18 18 CD A52264 2690 767 13 13 CD A52264 2690 768 05 05 CD A52264 2690 769 14 14 CD A52264 2690 770 96 96 CD A52264 2690 771 17 17 CD A52264 2690 772 16 16 CD A52264 2690 773 19 19 CD A52264 2690 774 38 38 CD A52264 2690 775 31 31 CD A52264 2690 776 21 21 CD A52264 2690 777 61 61 CD A52264 2690 778         _SP A52264 2690 779 1 1 CD A52264 2690 780 26 26 CD A52264 2690 781         _SP A52264 2690 782 5 5 CD A52264 2690 783 23 23 CD A52264 2690 784         _SP A52264 2690 785 9 9 CD A52264 2690 786 33 33 CD A52264 2690 787 11 11 CD A52264 2690 788 23 23 CD A52264 2690 789         _SP A52264 2690 790 15 15 CD A52264 2690 791 03 03 CD A52264 2690 792         _SP A52264 2690 793 19 19 CD A52264 2690 794 45 45 CD A52264 2690 795 Declination Declination NNP A52264 2690 796 and and CC A52264 2690 797 Right right UH A52264 2690 798 Ascension ascension NN A52264 2690 799 of of IN A52264 2690 800 the the DT A52264 2690 801 Stars star NNS A52264 2690 802 . . . A52264 2691 1 Declination Declination NNP A52264 2691 2 Dist Dist NNP A52264 2691 3 . . . A52264 2692 1 from from IN A52264 2692 2 the the DT A52264 2692 3 pole pole NN A52264 2692 4 Right Right NNP A52264 2692 5 Ascenation Ascenation NNP A52264 2692 6 The the DT A52264 2692 7 names name NNS A52264 2692 8 of of IN A52264 2692 9 the the DT A52264 2692 10 Stars Stars NNPS A52264 2692 11 . . . A52264 2693 1 D. D. NNP A52264 2693 2 M. M. NNP A52264 2693 3     _SP A52264 2693 4 D. D. NNP A52264 2693 5 M. M. NNP A52264 2693 6 H. H. NNP A52264 2693 7 M. M. NNP A52264 2693 8 Brest Brest NNP A52264 2693 9 of of IN A52264 2693 10 Cassiopeia Cassiopeia NNP A52264 2693 11 54 54 CD A52264 2693 12 76 76 CD A52264 2693 13 N n CD A52264 2693 14 35 35 CD A52264 2693 15 24 24 CD A52264 2693 16 0 0 CD A52264 2693 17 35 35 CD A52264 2693 18 Pole Pole NNP A52264 2693 19 - - HYPH A52264 2693 20 star star NNP A52264 2693 21 87 87 CD A52264 2693 22 48 48 CD A52264 2693 23 N n CD A52264 2693 24 02 02 CD A52264 2693 25 52 52 CD A52264 2693 26 0 0 CD A52264 2693 27 51 51 CD A52264 2693 28 Girdle girdle NN A52264 2693 29 of of IN A52264 2693 30 Andromeda Andromeda NNP A52264 2693 31 33 33 CD A52264 2693 32 83 83 CD A52264 2693 33 N n CD A52264 2693 34 56 56 CD A52264 2693 35 17 17 CD A52264 2693 36 0 0 CD A52264 2693 37 83 83 CD A52264 2693 38 Knees knee NNS A52264 2693 39 of of IN A52264 2693 40 Cassiopeia Cassiopeia NNP A52264 2693 41 58 58 CD A52264 2693 42 41 41 CD A52264 2693 43 N n CD A52264 2693 44 31 31 CD A52264 2693 45 59 59 CD A52264 2693 46 1 1 CD A52264 2693 47 05 05 CD A52264 2693 48 Whales whale NNS A52264 2693 49 belly belly NN A52264 2693 50 12 12 CD A52264 2693 51 00 00 CD A52264 2693 52 S S NNP A52264 2693 53 78 78 CD A52264 2693 54 00 00 CD A52264 2693 55 1 1 CD A52264 2693 56 58 58 CD A52264 2693 57 South South NNP A52264 2693 58 , , , A52264 2693 59 foot foot NN A52264 2693 60 by by IN A52264 2693 61 Andr Andr NNP A52264 2693 62 . . . A52264 2694 1 40 40 CD A52264 2694 2 65 65 CD A52264 2694 3 N n CD A52264 2694 4 19 19 CD A52264 2694 5 35 35 CD A52264 2694 6 1 1 CD A52264 2694 7 70 70 CD A52264 2694 8 Rams Rams NNPS A52264 2694 9 head head VBP A52264 2694 10 21 21 CD A52264 2694 11 81 81 CD A52264 2694 12 N n CD A52264 2694 13 68 68 CD A52264 2694 14 19 19 CD A52264 2694 15 1 1 CD A52264 2694 16 80 80 CD A52264 2694 17 Head Head NNP A52264 2694 18 of of IN A52264 2694 19 Medusa Medusa NNP A52264 2694 20 39 39 CD A52264 2694 21 58 58 CD A52264 2694 22 N n CD A52264 2694 23 50 50 CD A52264 2694 24 42 42 CD A52264 2694 25 2 2 CD A52264 2694 26 76 76 CD A52264 2694 27 Perseus Perseus NNP A52264 2694 28 right right JJ A52264 2694 29 side side NN A52264 2694 30 48 48 CD A52264 2694 31 55 55 CD A52264 2694 32 N n CD A52264 2694 33 41 41 CD A52264 2694 34 45 45 CD A52264 2694 35 2 2 CD A52264 2694 36 98 98 CD A52264 2694 37 Buls bul NNS A52264 2694 38 eye eye NN A52264 2694 39 15 15 CD A52264 2694 40 75 75 CD A52264 2694 41 N n CD A52264 2694 42 74 74 CD A52264 2694 43 25 25 CD A52264 2694 44 4 4 CD A52264 2694 45 26 26 CD A52264 2694 46 The the DT A52264 2694 47 Goat Goat NNP A52264 2694 48 45 45 CD A52264 2694 49 58 58 CD A52264 2694 50 N n CD A52264 2694 51 44 44 CD A52264 2694 52 42 42 CD A52264 2694 53 4 4 CD A52264 2694 54 85 85 CD A52264 2694 55 Orions Orions NNPS A52264 2694 56 left leave VBD A52264 2694 57 foot foot NN A52264 2694 58 08 08 CD A52264 2694 59 63 63 CD A52264 2694 60 S S NNP A52264 2694 61 81 81 CD A52264 2694 62 37 37 CD A52264 2694 63 4 4 CD A52264 2694 64 96 96 CD A52264 2694 65 Orions Orions NNPS A52264 2694 66 left leave VBD A52264 2694 67 shoulder shoulder NN A52264 2694 68 05 05 CD A52264 2694 69 98 98 CD A52264 2694 70 N n CD A52264 2694 71 84 84 CD A52264 2694 72 02 02 CD A52264 2694 73 5 5 CD A52264 2694 74 10 10 CD A52264 2694 75 First first RB A52264 2694 76 in in IN A52264 2694 77 Orions Orions NNPS A52264 2694 78 girdle girdle VBP A52264 2694 79 00 00 CD A52264 2694 80 58 58 CD A52264 2694 81 S s NN A52264 2694 82 89 89 CD A52264 2694 83 42 42 CD A52264 2694 84 5 5 CD A52264 2694 85 25 25 CD A52264 2694 86 Second second JJ A52264 2694 87 in in IN A52264 2694 88 Orions Orions NNP A52264 2694 89 gird gird NN A52264 2694 90 . . . A52264 2695 1 01 01 CD A52264 2695 2 45 45 CD A52264 2695 3 S s NN A52264 2695 4 88 88 CD A52264 2695 5 55 55 CD A52264 2695 6 5 5 CD A52264 2695 7 31 31 CD A52264 2695 8 Third third NN A52264 2695 9 in in IN A52264 2695 10 Orions Orions NNPS A52264 2695 11 girdle girdle VBP A52264 2695 12 02 02 CD A52264 2695 13 15 15 CD A52264 2695 14 S S NNP A52264 2695 15 87 87 CD A52264 2695 16 85 85 CD A52264 2695 17 5 5 CD A52264 2695 18 38 38 CD A52264 2695 19 Wagoners wagoner NNS A52264 2695 20 right right JJ A52264 2695 21 shold shold NN A52264 2695 22 . . . A52264 2696 1 44 44 CD A52264 2696 2 86 86 CD A52264 2696 3 N n CD A52264 2696 4 45 45 CD A52264 2696 5 14 14 CD A52264 2696 6 5 5 CD A52264 2696 7 70 70 CD A52264 2696 8 Orions Orions NNPS A52264 2696 9 right right JJ A52264 2696 10 shoulder shoulder NN A52264 2696 11 07 07 CD A52264 2696 12 30 30 CD A52264 2696 13 N n CD A52264 2696 14 82 82 CD A52264 2696 15 70 70 CD A52264 2696 16 5 5 CD A52264 2696 17 60 60 CD A52264 2696 18 Bright bright JJ A52264 2696 19 foot foot NN A52264 2696 20 of of IN A52264 2696 21 Twins Twins NNP A52264 2696 22 16 16 CD A52264 2696 23 65 65 CD A52264 2696 24 N n CD A52264 2696 25 73 73 CD A52264 2696 26 35 35 CD A52264 2696 27 6 6 CD A52264 2696 28 30 30 CD A52264 2696 29 The the DT A52264 2696 30 great great JJ A52264 2696 31 Dog Dog NNP A52264 2696 32 16 16 CD A52264 2696 33 21 21 CD A52264 2696 34 S s NN A52264 2696 35 73 73 CD A52264 2696 36 79 79 CD A52264 2696 37 6 6 CD A52264 2696 38 50 50 CD A52264 2696 39 Upper upper JJ A52264 2696 40 head head NN A52264 2696 41 of of IN A52264 2696 42 Twins Twins NNP A52264 2696 43 32 32 CD A52264 2696 44 50 50 CD A52264 2696 45 N n CD A52264 2696 46 57 57 CD A52264 2696 47 50 50 CD A52264 2696 48 7 7 CD A52264 2696 49 20 20 CD A52264 2696 50 The the DT A52264 2696 51 lesse lesse NN A52264 2696 52 Dog Dog NNP A52264 2696 53 06 06 CD A52264 2696 54 10 10 CD A52264 2696 55 N n CD A52264 2696 56 83 83 CD A52264 2696 57 90 90 CD A52264 2696 58 7 7 CD A52264 2696 59 36 36 CD A52264 2696 60 Lower low JJR A52264 2696 61 head head NN A52264 2696 62 of of IN A52264 2696 63 Twins Twins NNP A52264 2696 64 28 28 CD A52264 2696 65 80 80 CD A52264 2696 66 N n CD A52264 2696 67 61 61 CD A52264 2696 68 20 20 CD A52264 2696 69 7 7 CD A52264 2696 70 40 40 CD A52264 2696 71 Brightest brightest RBS A52264 2696 72 in in IN A52264 2696 73 Hydra Hydra NNP A52264 2696 74 07 07 CD A52264 2696 75 16 16 CD A52264 2696 76 S s NN A52264 2696 77 82 82 CD A52264 2696 78 84 84 CD A52264 2696 79 09 09 CD A52264 2696 80 16 16 CD A52264 2696 81 Lions Lions NNP A52264 2696 82 heart heart NN A52264 2696 83 13 13 CD A52264 2696 84 63 63 CD A52264 2696 85 N n CD A52264 2696 86 76 76 CD A52264 2696 87 37 37 CD A52264 2696 88 09 09 CD A52264 2696 89 83 83 CD A52264 2696 90 Lions lion NNS A52264 2696 91 back back RB A52264 2696 92 22 22 CD A52264 2696 93 06 06 CD A52264 2696 94 N n CD A52264 2696 95 65 65 CD A52264 2696 96 94 94 CD A52264 2696 97 11 11 CD A52264 2696 98 50 50 CD A52264 2696 99 Lions lion NNS A52264 2696 100 tail tail NN A52264 2696 101 16 16 CD A52264 2696 102 50 50 CD A52264 2696 103 N n CD A52264 2696 104 73 73 CD A52264 2696 105 50 50 CD A52264 2696 106 11 11 CD A52264 2696 107 51 51 CD A52264 2696 108 Great great JJ A52264 2696 109 Bears Bears NNPS A52264 2696 110 rump rump VBP A52264 2696 111 . . . A52264 2697 1 58 58 CD A52264 2697 2 72 72 CD A52264 2697 3 N n CD A52264 2697 4 31 31 CD A52264 2697 5 28 28 CD A52264 2697 6 10 10 CD A52264 2697 7 66 66 CD A52264 2697 8 First first RB A52264 2697 9 in in IN A52264 2697 10 the the DT A52264 2697 11 great great JJ A52264 2697 12 Bears bear NNS A52264 2697 13 tail tail VBP A52264 2697 14 next next JJ A52264 2697 15 her -PRON- PRP$ A52264 2697 16 rump rump JJ A52264 2697 17 57 57 CD A52264 2697 18 85 85 CD A52264 2697 19 N n CD A52264 2697 20 32 32 CD A52264 2697 21 15 15 CD A52264 2697 22 12 12 CD A52264 2697 23 63 63 CD A52264 2697 24 Virgines virgine NNS A52264 2697 25 spike spike VBP A52264 2697 26 ● ● $ A52264 2697 27 9 9 CD A52264 2697 28 32 32 CD A52264 2697 29 S s NN A52264 2697 30 80 80 CD A52264 2697 31 68 68 CD A52264 2697 32 13 13 CD A52264 2697 33 11 11 CD A52264 2697 34 Middlemost middlemost NN A52264 2697 35 in in IN A52264 2697 36 the the DT A52264 2697 37 great great JJ A52264 2697 38 Bears bear NNS A52264 2697 39 tail tail VBP A52264 2697 40 56 56 CD A52264 2697 41 75 75 CD A52264 2697 42 N n CD A52264 2697 43 33 33 CD A52264 2697 44 25 25 CD A52264 2697 45 13 13 CD A52264 2697 46 16 16 CD A52264 2697 47 In in IN A52264 2697 48 the the DT A52264 2697 49 end end NN A52264 2697 50 of of IN A52264 2697 51 her -PRON- PRP$ A52264 2697 52 tail tail VBP A52264 2697 53 51 51 CD A52264 2697 54 08 08 CD A52264 2697 55 N n CD A52264 2697 56 38 38 CD A52264 2697 57 92 92 CD A52264 2697 58 13 13 CD A52264 2697 59 56 56 CD A52264 2697 60 Between between IN A52264 2697 61 Bootes Bootes NNPS A52264 2697 62 thighs thigh VBZ A52264 2697 63 21 21 CD A52264 2697 64 03 03 CD A52264 2697 65 N n CD A52264 2697 66 68 68 CD A52264 2697 67 97 97 CD A52264 2697 68 14 14 CD A52264 2697 69 00 00 CD A52264 2697 70 South South NNP A52264 2697 71 Ballance Ballance NNP A52264 2697 72 14 14 CD A52264 2697 73 55 55 CD A52264 2697 74 S s NN A52264 2697 75 75 75 CD A52264 2697 76 45 45 CD A52264 2697 77 14 14 CD A52264 2697 78 53 53 CD A52264 2697 79 North North NNP A52264 2697 80 Ballance Ballance NNP A52264 2697 81 08 08 CD A52264 2697 82 05 05 CD A52264 2697 83 S s NN A52264 2697 84 81 81 CD A52264 2697 85 95 95 CD A52264 2697 86 14 14 CD A52264 2697 87 96 96 CD A52264 2697 88 Scorpions scorpion NNS A52264 2697 89 heart heart NN A52264 2697 90 25 25 CD A52264 2697 91 58 58 CD A52264 2697 92 S S NNP A52264 2697 93 64 64 CD A52264 2697 94 42 42 CD A52264 2697 95 16 16 CD A52264 2697 96 13 13 CD A52264 2697 97 Hercules Hercules NNP A52264 2697 98 head head VBP A52264 2697 99 14 14 CD A52264 2697 100 85 85 CD A52264 2697 101 N n CD A52264 2697 102 75 75 CD A52264 2697 103 15 15 CD A52264 2697 104 16 16 CD A52264 2697 105 98 98 CD A52264 2697 106 Serpentaries Serpentaries NNPS A52264 2697 107 head head VBP A52264 2697 108 12 12 CD A52264 2697 109 86 86 CD A52264 2697 110 N n CD A52264 2697 111 77 77 CD A52264 2697 112 14 14 CD A52264 2697 113 17 17 CD A52264 2697 114 31 31 CD A52264 2697 115 Dragons Dragons NNPS A52264 2697 116 head head VBP A52264 2697 117 51 51 CD A52264 2697 118 60 60 CD A52264 2697 119 N n CD A52264 2697 120 38 38 CD A52264 2697 121 40 40 CD A52264 2697 122 17 17 CD A52264 2697 123 80 80 CD A52264 2697 124 Brightest brightest RBS A52264 2697 125 in in IN A52264 2697 126 the the DT A52264 2697 127 Harp Harp NNP A52264 2697 128 38 38 CD A52264 2697 129 50 50 CD A52264 2697 130 N n CD A52264 2697 131 51 51 CD A52264 2697 132 50 50 CD A52264 2697 133 18 18 CD A52264 2697 134 41 41 CD A52264 2697 135 Eagles eagle NNS A52264 2697 136 heart heart NN A52264 2697 137 08 08 CD A52264 2697 138 02 02 CD A52264 2697 139 N n CD A52264 2697 140 81 81 CD A52264 2697 141 98 98 CD A52264 2697 142 19 19 CD A52264 2697 143 56 56 CD A52264 2697 144 Swans swan NNS A52264 2697 145 tail tail VBP A52264 2697 146 44 44 CD A52264 2697 147 08 08 CD A52264 2697 148 N n CD A52264 2697 149 45 45 CD A52264 2697 150 92 92 CD A52264 2697 151 20 20 CD A52264 2697 152 50 50 CD A52264 2697 153 Pegasus Pegasus NNP A52264 2697 154 mouth mouth NN A52264 2697 155 08 08 CD A52264 2697 156 32 32 CD A52264 2697 157 N n CD A52264 2697 158 81 81 CD A52264 2697 159 68 68 CD A52264 2697 160 21 21 CD A52264 2697 161 45 45 CD A52264 2697 162 Pegasus Pegasus NNP A52264 2697 163 shoulder shoulder NN A52264 2697 164 17 17 CD A52264 2697 165 38 38 CD A52264 2697 166 N n CD A52264 2697 167 76 76 CD A52264 2697 168 62 62 CD A52264 2697 169 23 23 CD A52264 2697 170 91 91 CD A52264 2697 171 The the DT A52264 2697 172 head head NN A52264 2697 173 of of IN A52264 2697 174 Androm Androm NNP A52264 2697 175 . . . A52264 2698 1 27 27 CD A52264 2698 2 22 22 CD A52264 2698 3 N n CD A52264 2698 4 62 62 CD A52264 2698 5 78 78 CD A52264 2698 6 23 23 CD A52264 2698 7 85 85 CD A52264 2698 8 Rules rule NNS A52264 2698 9 for for IN A52264 2698 10 finding finding NN A52264 2698 11 of of IN A52264 2698 12 the the DT A52264 2698 13 Poles Poles NNPS A52264 2698 14 elevation elevation NN A52264 2698 15 by by IN A52264 2698 16 the the DT A52264 2698 17 meridian meridian JJ A52264 2698 18 altitude altitude NN A52264 2698 19 of of IN A52264 2698 20 the the DT A52264 2698 21 Sun Sun NNP A52264 2698 22 or or CC A52264 2698 23 stars star NNS A52264 2698 24 , , , A52264 2698 25 and and CC A52264 2698 26 by by IN A52264 2698 27 the the DT A52264 2698 28 Table table NN A52264 2698 29 of of IN A52264 2698 30 their -PRON- PRP$ A52264 2698 31 Declinations declination NNS A52264 2698 32 aforegoing aforegoe VBG A52264 2698 33 . . . A52264 2699 1 Case case NN A52264 2699 2 1 1 CD A52264 2699 3 . . . A52264 2700 1 IF if IN A52264 2700 2 the the DT A52264 2700 3 Sun Sun NNP A52264 2700 4 or or CC A52264 2700 5 star star NNP A52264 2700 6 be be VBP A52264 2700 7 on on IN A52264 2700 8 the the DT A52264 2700 9 meridian meridian NN A52264 2700 10 to to IN A52264 2700 11 the the DT A52264 2700 12 southwards southward NNS A52264 2700 13 , , , A52264 2700 14 and and CC A52264 2700 15 have have VBP A52264 2700 16 south south JJ A52264 2700 17 declination declination NN A52264 2700 18 . . . A52264 2701 1 Adde Adde NNP A52264 2701 2 the the DT A52264 2701 3 suns sun NNS A52264 2701 4 declination declination NN A52264 2701 5 to to IN A52264 2701 6 his -PRON- PRP$ A52264 2701 7 meridian meridian JJ A52264 2701 8 altitude altitude NN A52264 2701 9 , , , A52264 2701 10 and and CC A52264 2701 11 taking take VBG A52264 2701 12 that that DT A52264 2701 13 total total NN A52264 2701 14 from from IN A52264 2701 15 90 90 CD A52264 2701 16 degrees degree NNS A52264 2701 17 , , , A52264 2701 18 what what WP A52264 2701 19 remaineth remaineth NNP A52264 2701 20 is be VBZ A52264 2701 21 the the DT A52264 2701 22 latitude latitude NN A52264 2701 23 of of IN A52264 2701 24 the the DT A52264 2701 25 place place NN A52264 2701 26 desired desire VBN A52264 2701 27 . . . A52264 2702 1 As as IN A52264 2702 2 the the DT A52264 2702 3 7 7 CD A52264 2702 4 of of IN A52264 2702 5 February February NNP A52264 2702 6 , , , A52264 2702 7 1654 1654 CD A52264 2702 8 , , , A52264 2702 9 by by IN A52264 2702 10 the the DT A52264 2702 11 aforegoing aforegoe VBG A52264 2702 12 Table table NN A52264 2702 13 , , , A52264 2702 14 the the DT A52264 2702 15 suns suns NNPS A52264 2702 16 decl decl NNP A52264 2702 17 . . . A52264 2703 1 south south NNP A52264 2703 2 . . . A52264 2704 1 is be VBZ A52264 2704 2 11.80 11.80 CD A52264 2704 3 The the DT A52264 2704 4 suns suns NNPS A52264 2704 5 meridian meridian JJ A52264 2704 6 altitude altitude NN A52264 2704 7 15.27 15.27 CD A52264 2704 8 The the DT A52264 2704 9 sum sum NN A52264 2704 10 or or CC A52264 2704 11 total total NN A52264 2704 12 is be VBZ A52264 2704 13 27.07 27.07 CD A52264 2704 14 Which which WDT A52264 2704 15 substracted substracte VBD A52264 2704 16 from from IN A52264 2704 17 90.00 90.00 CD A52264 2704 18 There there EX A52264 2704 19 remains remain VBZ A52264 2704 20 the the DT A52264 2704 21 North North NNP A52264 2704 22 latitude latitude NN A52264 2704 23 62.93 62.93 CD A52264 2704 24 But but CC A52264 2704 25 when when WRB A52264 2704 26 you -PRON- PRP A52264 2704 27 have have VBP A52264 2704 28 added add VBN A52264 2704 29 the the DT A52264 2704 30 suns sun NNS A52264 2704 31 declination declination NN A52264 2704 32 to to IN A52264 2704 33 his -PRON- PRP$ A52264 2704 34 meridian meridian JJ A52264 2704 35 altitude altitude NN A52264 2704 36 , , , A52264 2704 37 if if IN A52264 2704 38 the the DT A52264 2704 39 total total JJ A52264 2704 40 exceed exceed VBP A52264 2704 41 90 90 CD A52264 2704 42 : : : A52264 2704 43 substract substract NN A52264 2704 44 90 90 CD A52264 2704 45 degr degr NN A52264 2704 46 . . . A52264 2705 1 from from IN A52264 2705 2 it -PRON- PRP A52264 2705 3 , , , A52264 2705 4 and and CC A52264 2705 5 what what WP A52264 2705 6 remaineth remaineth NNP A52264 2705 7 is be VBZ A52264 2705 8 your -PRON- PRP$ A52264 2705 9 latitude latitude NN A52264 2705 10 to to IN A52264 2705 11 the the DT A52264 2705 12 southwards southward NNS A52264 2705 13 . . . A52264 2706 1 As as IN A52264 2706 2 admit admit VBP A52264 2706 3 the the DT A52264 2706 4 suns sun NNS A52264 2706 5 declination declination NN A52264 2706 6 to to TO A52264 2706 7 be be VB A52264 2706 8 southerly southerly RB A52264 2706 9 11.80 11.80 CD A52264 2706 10 And and CC A52264 2706 11 his -PRON- PRP$ A52264 2706 12 meridian meridian JJ A52264 2706 13 altitude altitude NN A52264 2706 14 87.23 87.23 CD A52264 2706 15 The the DT A52264 2706 16 sum sum NN A52264 2706 17 or or CC A52264 2706 18 total total NN A52264 2706 19 is be VBZ A52264 2706 20 99.03 99.03 CD A52264 2706 21 From from IN A52264 2706 22 which which WDT A52264 2706 23 substracting substracte VBG A52264 2706 24 90.00 90.00 CD A52264 2706 25 There there EX A52264 2706 26 remains remain VBZ A52264 2706 27 the the DT A52264 2706 28 latitude latitude NN A52264 2706 29 south south NN A52264 2706 30 . . . A52264 2707 1 09.03 09.03 CD A52264 2707 2 Case case NN A52264 2707 3 . . . A52264 2708 1 2 2 LS A52264 2708 2 . . . A52264 2709 1 If if IN A52264 2709 2 the the DT A52264 2709 3 sun sun NN A52264 2709 4 or or CC A52264 2709 5 star star NN A52264 2709 6 be be VBP A52264 2709 7 on on IN A52264 2709 8 the the DT A52264 2709 9 meridian meridian NN A52264 2709 10 to to IN A52264 2709 11 the the DT A52264 2709 12 southwards southward NNS A52264 2709 13 , , , A52264 2709 14 and and CC A52264 2709 15 have have VB A52264 2709 16 north north NN A52264 2709 17 declination declination NN A52264 2709 18 . . . A52264 2710 1 Substract substract VB A52264 2710 2 the the DT A52264 2710 3 suns sun NNS A52264 2710 4 declination declination NN A52264 2710 5 from from IN A52264 2710 6 his -PRON- PRP$ A52264 2710 7 meridian meridian JJ A52264 2710 8 altitude altitude NN A52264 2710 9 , , , A52264 2710 10 and and CC A52264 2710 11 that that IN A52264 2710 12 which which WDT A52264 2710 13 remains remain VBZ A52264 2710 14 substract substract NN A52264 2710 15 from from IN A52264 2710 16 90 90 CD A52264 2710 17 , , , A52264 2710 18 and and CC A52264 2710 19 then then RB A52264 2710 20 the the DT A52264 2710 21 remainer remainer NN A52264 2710 22 is be VBZ A52264 2710 23 the the DT A52264 2710 24 poles pole NNS A52264 2710 25 elevation elevation VBP A52264 2710 26 northerly northerly RB A52264 2710 27 . . . A52264 2711 1 Case case NN A52264 2711 2 3 3 CD A52264 2711 3 . . . A52264 2712 1 If if IN A52264 2712 2 the the DT A52264 2712 3 sun sun NN A52264 2712 4 or or CC A52264 2712 5 star star NN A52264 2712 6 be be VBP A52264 2712 7 on on IN A52264 2712 8 the the DT A52264 2712 9 meridian meridian NN A52264 2712 10 to to IN A52264 2712 11 the the DT A52264 2712 12 northwards northward NNS A52264 2712 13 , , , A52264 2712 14 and and CC A52264 2712 15 have have VB A52264 2712 16 north north JJ A52264 2712 17 declination declination NN A52264 2712 18 ▪ ▪ NN A52264 2712 19 Adde Adde NNP A52264 2712 20 the the DT A52264 2712 21 suns sun NNS A52264 2712 22 declination declination NN A52264 2712 23 to to IN A52264 2712 24 his -PRON- PRP$ A52264 2712 25 meridian meridian JJ A52264 2712 26 altitude altitude NN A52264 2712 27 , , , A52264 2712 28 the the DT A52264 2712 29 total total JJ A52264 2712 30 take take VBP A52264 2712 31 from from IN A52264 2712 32 90 90 CD A52264 2712 33 , , , A52264 2712 34 and and CC A52264 2712 35 what what WP A52264 2712 36 remaineth remaineth NNP A52264 2712 37 is be VBZ A52264 2712 38 the the DT A52264 2712 39 poles pole NNS A52264 2712 40 elevation elevation NN A52264 2712 41 southerly southerly RB A52264 2712 42 . . . A52264 2713 1 But but CC A52264 2713 2 when when WRB A52264 2713 3 you -PRON- PRP A52264 2713 4 have have VBP A52264 2713 5 added add VBN A52264 2713 6 the the DT A52264 2713 7 suns sun NNS A52264 2713 8 declination declination NN A52264 2713 9 to to IN A52264 2713 10 his -PRON- PRP$ A52264 2713 11 meridian meridian JJ A52264 2713 12 altitude altitude NN A52264 2713 13 , , , A52264 2713 14 if if IN A52264 2713 15 it -PRON- PRP A52264 2713 16 exceed exceed VBP A52264 2713 17 90 90 CD A52264 2713 18 , , , A52264 2713 19 substract substract VB A52264 2713 20 90 90 CD A52264 2713 21 from from IN A52264 2713 22 it -PRON- PRP A52264 2713 23 , , , A52264 2713 24 and and CC A52264 2713 25 what what WP A52264 2713 26 remaineth remaineth NNP A52264 2713 27 is be VBZ A52264 2713 28 your -PRON- PRP$ A52264 2713 29 latitude latitude NN A52264 2713 30 northerly northerly RB A52264 2713 31 . . . A52264 2714 1 Case case NN A52264 2714 2 4 4 CD A52264 2714 3 . . . A52264 2715 1 If if IN A52264 2715 2 the the DT A52264 2715 3 sun sun NN A52264 2715 4 be be VBP A52264 2715 5 to to IN A52264 2715 6 the the DT A52264 2715 7 northwards northward NNS A52264 2715 8 at at IN A52264 2715 9 noon noon NN A52264 2715 10 , , , A52264 2715 11 and and CC A52264 2715 12 declination declination NN A52264 2715 13 south south NN A52264 2715 14 . . . A52264 2716 1 Substract substract VB A52264 2716 2 the the DT A52264 2716 3 suns sun NNS A52264 2716 4 declination declination NN A52264 2716 5 from from IN A52264 2716 6 his -PRON- PRP$ A52264 2716 7 meridian meridian JJ A52264 2716 8 altitude altitude NN A52264 2716 9 , , , A52264 2716 10 and and CC A52264 2716 11 that that IN A52264 2716 12 which which WDT A52264 2716 13 remains remain VBZ A52264 2716 14 substract substract NN A52264 2716 15 from from IN A52264 2716 16 90 90 CD A52264 2716 17 , , , A52264 2716 18 what what WP A52264 2716 19 then then RB A52264 2716 20 remaineth remaineth NNP A52264 2716 21 is be VBZ A52264 2716 22 your -PRON- PRP$ A52264 2716 23 latitude latitude NN A52264 2716 24 southerly southerly RB A52264 2716 25 . . . A52264 2717 1 And and CC A52264 2717 2 what what WP A52264 2717 3 is be VBZ A52264 2717 4 said say VBN A52264 2717 5 of of IN A52264 2717 6 the the DT A52264 2717 7 Sun Sun NNP A52264 2717 8 , , , A52264 2717 9 is be VBZ A52264 2717 10 also also RB A52264 2717 11 to to TO A52264 2717 12 be be VB A52264 2717 13 understood understand VBN A52264 2717 14 of of IN A52264 2717 15 the the DT A52264 2717 16 Stars Stars NNPS A52264 2717 17 , , , A52264 2717 18 being be VBG A52264 2717 19 upon upon IN A52264 2717 20 the the DT A52264 2717 21 Meridian Meridian NNP A52264 2717 22 . . . A52264 2718 1 Case case NN A52264 2718 2 5 5 CD A52264 2718 3 . . . A52264 2719 1 If if IN A52264 2719 2 you -PRON- PRP A52264 2719 3 observe observe VBP A52264 2719 4 when when WRB A52264 2719 5 the the DT A52264 2719 6 Sun Sun NNP A52264 2719 7 hath hath NN A52264 2719 8 no no DT A52264 2719 9 declination declination NN A52264 2719 10 . . . A52264 2720 1 Substract substract VB A52264 2720 2 his -PRON- PRP$ A52264 2720 3 meridian meridian JJ A52264 2720 4 altitude altitude NN A52264 2720 5 from from IN A52264 2720 6 90 90 CD A52264 2720 7 , , , A52264 2720 8 what what WDT A52264 2720 9 remaineth remaineth NNP A52264 2720 10 is be VBZ A52264 2720 11 your -PRON- PRP$ A52264 2720 12 latitude latitude NN A52264 2720 13 . . . A52264 2721 1 Case case NN A52264 2721 2 6 6 CD A52264 2721 3 . . . A52264 2722 1 If if IN A52264 2722 2 you -PRON- PRP A52264 2722 3 chance chance VBP A52264 2722 4 to to TO A52264 2722 5 observe observe VB A52264 2722 6 when when WRB A52264 2722 7 the the DT A52264 2722 8 Sun Sun NNP A52264 2722 9 or or CC A52264 2722 10 star star NNP A52264 2722 11 is be VBZ A52264 2722 12 in in IN A52264 2722 13 the the DT A52264 2722 14 Zenith Zenith NNP A52264 2722 15 , , , A52264 2722 16 that that RB A52264 2722 17 is is RB A52264 2722 18 90 90 CD A52264 2722 19 degrees degree NNS A52264 2722 20 above above IN A52264 2722 21 the the DT A52264 2722 22 Horizon Horizon NNP A52264 2722 23 . . . A52264 2723 1 Look look VB A52264 2723 2 in in IN A52264 2723 3 the the DT A52264 2723 4 table table NN A52264 2723 5 for for IN A52264 2723 6 the the DT A52264 2723 7 declination declination NN A52264 2723 8 of of IN A52264 2723 9 the the DT A52264 2723 10 Sun Sun NNP A52264 2723 11 or or CC A52264 2723 12 of of IN A52264 2723 13 that that DT A52264 2723 14 star star NN A52264 2723 15 , , , A52264 2723 16 and and CC A52264 2723 17 the the DT A52264 2723 18 same same JJ A52264 2723 19 is be VBZ A52264 2723 20 your -PRON- PRP$ A52264 2723 21 latitude latitude NN A52264 2723 22 . . . A52264 2724 1 Case case NN A52264 2724 2 7 7 CD A52264 2724 3 . . . A52264 2725 1 If if IN A52264 2725 2 the the DT A52264 2725 3 Sun Sun NNP A52264 2725 4 come come VBP A52264 2725 5 to to IN A52264 2725 6 the the DT A52264 2725 7 meridian meridian NN A52264 2725 8 under under IN A52264 2725 9 the the DT A52264 2725 10 Pole Pole NNP A52264 2725 11 . . . A52264 2726 1 If if IN A52264 2726 2 you -PRON- PRP A52264 2726 3 be be VBP A52264 2726 4 within within IN A52264 2726 5 the the DT A52264 2726 6 Artick Artick NNP A52264 2726 7 or or CC A52264 2726 8 Antartick Antartick NNP A52264 2726 9 circle circle NN A52264 2726 10 , , , A52264 2726 11 and and CC A52264 2726 12 observe observe VB A52264 2726 13 the the DT A52264 2726 14 Sun Sun NNP A52264 2726 15 upon upon IN A52264 2726 16 the the DT A52264 2726 17 meridian meridian NN A52264 2726 18 under under IN A52264 2726 19 the the DT A52264 2726 20 Pole Pole NNP A52264 2726 21 ; ; : A52264 2726 22 substract substract VB A52264 2726 23 the the DT A52264 2726 24 Suns Suns NNP A52264 2726 25 declination declination NN A52264 2726 26 from from IN A52264 2726 27 90 90 CD A52264 2726 28 , , , A52264 2726 29 the the DT A52264 2726 30 remainer remainer NN A52264 2726 31 is be VBZ A52264 2726 32 the the DT A52264 2726 33 Suns Suns NNP A52264 2726 34 distance distance NN A52264 2726 35 from from IN A52264 2726 36 the the DT A52264 2726 37 Pole Pole NNP A52264 2726 38 ; ; : A52264 2726 39 which which WDT A52264 2726 40 distance distance NN A52264 2726 41 added add VBD A52264 2726 42 to to IN A52264 2726 43 his -PRON- PRP$ A52264 2726 44 meridian meridian JJ A52264 2726 45 altitude altitude NN A52264 2726 46 , , , A52264 2726 47 the the DT A52264 2726 48 sum sum NN A52264 2726 49 or or CC A52264 2726 50 total total NN A52264 2726 51 is be VBZ A52264 2726 52 the the DT A52264 2726 53 latitude latitude NN A52264 2726 54 sought seek VBN A52264 2726 55 . . . A52264 2727 1 And and CC A52264 2727 2 what what WP A52264 2727 3 is be VBZ A52264 2727 4 here here RB A52264 2727 5 said say VBN A52264 2727 6 of of IN A52264 2727 7 the the DT A52264 2727 8 Sun Sun NNP A52264 2727 9 is be VBZ A52264 2727 10 to to TO A52264 2727 11 be be VB A52264 2727 12 understood understand VBN A52264 2727 13 of of IN A52264 2727 14 the the DT A52264 2727 15 stars star NNS A52264 2727 16 , , , A52264 2727 17 whose whose WP$ A52264 2727 18 declinations declination NNS A52264 2727 19 , , , A52264 2727 20 distances distance NNS A52264 2727 21 from from IN A52264 2727 22 the the DT A52264 2727 23 pole pole NN A52264 2727 24 , , , A52264 2727 25 and and CC A52264 2727 26 right right JJ A52264 2727 27 ascensions ascension NNS A52264 2727 28 we -PRON- PRP A52264 2727 29 have have VBP A52264 2727 30 expressed express VBN A52264 2727 31 in in IN A52264 2727 32 the the DT A52264 2727 33 foregoing foregoing JJ A52264 2727 34 Table table NN A52264 2727 35 . . . A52264 2728 1 FINIS FINIS NNP A52264 2728 2 . . .