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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 382, page id 845634801:0388
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VAR FORVM DE R E BYS MIA YH E A A ZTCFS
PROPOSTFHOL
362
dupla est amplicudo anguli sectionis, continuati angulo corniculari.
Duod erar oltendendum.
Angulus qui Ac a linea recta cir.
culum cangence et ipla circumteren-
tia, Colec ab incerpretibus dicinceg
204d15, sive cornicularis.
Circuliigitur sab A cenero deleri
pri, sic segmentum quodcunque
BDC, comprehensum à recta BC
quae balis est segmenti, ee circumte-
rentia BDC. tangat aurem circulum
reCTA BF. Dico circumFereNEIAN
BDC duplam esse amplicudinem an
suli EBC, compolici ex sectionis an
gulo DBC, d corniculari DBF. AG4
tur enim diameter BAF, angulu.
igitur reCtuS est EBF. recti aurem an
suli amplitudo dupla est semicie.
cumtereneia circuli. Jeaque duplo
amplicudo anguli EBF est circumte.
rentia BD CF. a quo auteraTULC F,
Gulorum D, B, cireduteea el. Sudd ctacostendendum.
R OPOSFF 1O ITI.
Anoulo dato, quem faciune dux circumterentix duorum lele secat
cium aequalium circulotu, una convexa, altera concara, ansulum recl
DuocirculiABD, BED aequali ir
cerrallo descripei, sele mutuo incet
secene in punctis B, D. unde Aac lu
Duta ABED. Oporret anguloABL
lunari, angulum rectilincum extia
bere aequalem. Circulum BFD tan
BaL In B reCta B F, CCCanS CicCUIUM
ABDcum in B, cum in F; circumte
rentix aurem BF Cumatur in circule
secundo BF. D, circum ferencia BC
aequalis, e subcendatur BG. Ouo
niam igitur aequales lune sectione
ABF, EBC; quancum ab angulo lu
nari ABED autere anguluS seCtiOMI
ABF; cancum re sicuic angulus lectio
i
Circumferentia sub qua e base comprehenditmr Termencum circuli
dupla amplicudo anguli CBF. relidua isicur C D B dupla est amplicudo auguli F. BC
ejuldem circuli circumterentia eAt.
angulienim propolicarum distimilium sectionum cteu, lunco D, B; illa mojor, has
cumterentia, de rursus F plus B circumterentia, X harum difterencia est D minus 
PR OPOSFTTO II.
Currum quo differune in eodem ciroulo anguli dissimilium sectionuM
minor; angulus vero cornicularis F. F. CigicuT ex antecedence propolitione F plus
vero diftereneia duarum circumtetehllatuu, circumterenria est. Ouare diftereneia
lineum chvere asccate.
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