Full text: Bithynius, Theodosius: Theodosii Tripolitae Sphaericorum libri tres

adeo & quadratum rectæ BF, quod illis duobus æquale eſt, cognitum erit; cu-
ius radix quadrata notam reddet rectam BF: quæ cũ fubtendat grad. 72. in cir
culo ABC, vtpote quintam partem circunferentiæ, quòd ſit latus pentago-
ni, nota erit chorda arcus grad. 72. cuius medietas partium 5877852. dabit ſi-
num rectum arcus grad. 36. qui illius dimidium eſt.

166.1.

Supputatio
ſinus arcus
grad. 36.
133-01
47. primi.
47. primi.

PORRO ex hoc ſinu arcus grad. 36. inueniemus, per propof. 3. ſinum eius
complementi, hoc eſt, ſinum arcus grad. 54. Quos duos arcus ſi biſariam fece-
mus, eorumq́ue medietates rurſus bifariam, & ita deinceps, donec ad minuta
numero imparia veniamus, quæ amplius diuidi nequeunt, reperiemus quoque
per coroll. propof. 4. harum medietatum ſinus, nec non, per propoſ. 3. ſinus ea-
rum complementorum: quæ complementa ſi rurſus bifariam ſecemus, quoad
poſſumus, & harum medietatum complementa accipiamus, quæ rurſus ſece-
mus bifariam, & c. inueniemus eodem modo ſinus omnium ar cuum in hac ta-
bella contentorum. Quos ſinus ſi cum præcedentibus hactenus inuentis in or-
dinem redigamus, habebimus ſinus rectos omnium arcuum ſeſe ordine ſupe-
rantium gradibus 2. & Min. 15. initio facto ab arcu grad. 2. Min. 15. vſque ad
arcum grad. 87. Min. 45. incluſiue; & inſuper ſinus aliorum 17. arcuum, qui
non ſeruant huiuſmodi incrementum. Vt in hac tabella appparet. Vbi manife

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