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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 330, page id 845634801:0336
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# Lines: 96 recognised, mean confidence 0.76
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N
Duo circuli CEB, CFD sele me
nOn EranAre per centrum circul
C F D. Tangantur enim F. C, F. L
E D. angulus igitr C FB est rectuS.
urpore insemicirculo. OnarEC F.
non erierectus, sed recto majorre
IHOT PEF anGULUIM BED. Non cl
ioicur CABD diamerer circuli CFL
aeque ideOnON FrAN(IEPCF ejuS Cen
trum. Ouod erac octendendum.
Lemma II.
Si duo circuli sese muiuo secent;
a puncto aurem sectionis ducatus
linearecta utrum que circulum se
cans, erunt dissimilia circulorum
illorum seementa.
Duocircali CEB, CFD Cese mu
uo secene in punctis C, F. ABAEU
verolinea recta CBD; secanscircu
lum CFB in C, B; circulum verc
CFD in C. D punctis. DicoLeSMen
ca CB, CD elle dissimilia. Aur enim
CBeransit per cenerum circuli CFB
vel non. Primum Eran (CAEPCF CeN
erum circuli CE.B, ee Ccillud A, n0
igicur eransibie per cenerum alcerius
circuli CFD. Ouare CB eric dia
meter circuli CFB, CD verO noI
erie diamerer circuli CFD. NonC.
rune igicur eo calu Cimilia lesment
exir rectus, sed rect
major vel minor, quo
Biam CF non eric dia
mecer circuli CED. IIa
que nOn CrWNECB,
parallelx. Sic FY cen
erum circuli CFD,
ejus diameter 232Cu
CFII, ee juncta DI in
TercipinE CG in R. Frit
ixirue anoulus CDIre
Ctus, e ideo parallel
erune BG, DK. Vndcc
ricCBadCD, GICUTCC
ad CK, crunt aurem Cl
CK inaquales. Ouare
nOn
cuo secene, sectio igitur erie in due
bus punctis. Sine illa C, F. _ (IEL
centrum circuli CFB, de acacur dio
meter ipsus CAB secans circulur
CFD in D. Dico rectam C AB
CB. CD. Sednoncranseat C BD per alicujis circulorum centum. ABneuC per A ceit
crum circuli C.BE reCta C. ACF, unde sic C AC diameter circuli C BF. de connecta
BG, DF. Eric ixiur angulus C BC rectus, i pore in semicirculo, angulus vero C DF 
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