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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 334, page id 845634801:0340
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O
N I
cui eriam aequale est id quod sic sub BG, BF, ideo puncta D, G, F. FL lune MCttculo, et an
Sulus D G B Agulo FHB est aequalis, ac angulus G D B id etF COMHCCCHdO E F angulu
GEF anguloHIFB. Vcerque igicur, sire angulusGFF, live angulus sDcematur à duo
busrectis. Ec angulus quidem CFF incriangulo CFF, relinguet alsulOSLBF, EF C; al
oulusvero HIFB in trianguloHIFB, relinquer angulos B, LBFL. LrunEISIEuT angu
FOF, EFO Smul juncti angulis FHB, FBHL simul junctis aequales. Sed aligulus FGF a1
Gulo FHBolentus est aequalis. Leaque angulus religuus F. FC angulo reliquo FBH erit X
qualis, acque aceo similia crune rriangula CDB, CFF. lub codenre terrice. Unde ac
leripri circuli duo, unusper puncta GFF, alcer perpuncta C,DB. sele contingene in 
rangensin 6. Ouod erac Faciendum.
communi verrice. Deleriprus et e pet D.  Aculus DBC, circulum CF
Temma T.
Proposiris duobus circulis, invenire punctum in jungentepsontra a quo
cum ducetut que vislinea recta ipsos circulos secans, similia erunt secmenta.
Provonaneur duo circuli ABC, EFC, _C MEPTMMTCCMLE K, LCCHICA L., CC jungaEI
HL. Oporcer in K L. invenice punctum à quo cum ducerur quaerislinea rectà clcu
ABaEuE enim quaer
MGF CB SecanS cirCUII
ABC in punctis B, C, circu
TUM verO FFC in punctisF
C de sinc puncta sectionui
B, Fad ealdCTH PArEeS, UEDC
re remotiora ab ip (OM, put
Cta vero C,  cidem V.
BHO PTOPIOTA, X COnBC
ctantur BK, CK, FL. L.C
Tcague constieuuneur duc
criangula BKC, FLC. Ou0
niam igitur est RMI ad L1
ex constructione, (IcuI L
ad FL, erunEBK, FL pacalle
et sicuc K C ad LC, erunc K C, LC parallela. et angulus H C B angulo L OF xqualis. ua
re d angulus reliquus BKC, id est circumferencia BC, angulo reliquo F LC, id est circtt
Ferenicia FC. est aequalis. Acque adeo BC, FC similia circulorum, ad quos percinene, e
gmenca. Propolirisigirur duobus circulis ABC, PFC invenrum est in HL junsente ip
rum cenira punctum u, a quo cum ducerur quaeris re cta lincaipsosse cans, lmilia erli
Ccgmenta. Quod Faciendum crar.
Lemma II.
ABC, EF C lecans, similia
erunelCBImenFa. SeCCTUFRL.
vel producatur in MI, uc (
RMI ad LM, BCAEAK ad FL.
Dico cum à puncto M du
cerur linea recta circulos
ABC, FFC secans, Cimilia
FOre ipCOTUM LCGMENCA
la, ee anculus HBC angulo L FC aequalis. A. que, quoniam KM ad L. M ex construction
Sit andCr unus ABCD, alter LFOF; juncens aurem eoraco Cenrra XL)
cet circulum primum in A, D: secundum vero in F, in ea suatur M pun
ctum, a quo acta MCFCB recta secet circulum primum in B, C, secundum in t,
ex sine similiascemenca, es puneta quidem sectionum a. P sini remoriora ips
labcer
sesK
midiar
e
tum
vero e
Carum
inne
Abren
it
aue
dMC
uodF
1
erec
ter
uncu
B
de
enre
Heces
Pum
on