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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 332, page id 845634801:0338
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I P:O L E ON IV.
Eanoic in E circulum AEIEB. ABarur aurem BI diamelet circuli. Ouoniam is cireulus ran
32
situr a recta BC in B, cricangulus CBI rectus, atque adeo erune IB, DC parallelx, e cum
junGetUT LE Aec anguluS IEB rectus, Scur est angulUS DEF. OUArE LE, E. P coincidunc im
eaudem lineam rectam. Ieaque duo similia eriangula (uNEDFF, BF. L lub eodem vertice,
e ideo circuli ea criangula circum scribences sele muruo contingenrin F, non etiam le
cabune. Igitur per A punctum deleripiis est circulus BAF, quem recta BC in B, circu
luSVeTODEFin E. concingun. Ouod erat Faciendum.
LOBE E M A VII.
Daris cuobus circulis, dc HC tec de scribere terrium circulum, quem
duo dati, d data LInCa reCtA CONFIHSAME.
Sine dari duo circuli, primus
cujus A cenerum, secundus cu
jusB, ee daca quoque linea recta
CZ. Oporret describere cerriun
circulum quem circuli, quoruN.
A, Bcentra, _ recta CZ contin.
Sanc. Cadac in rectam CZ Pet
xerpendicularis BZ, dt sececurim
Z, uEAE ZX aequalis semidiame
ero AL. ad primu circulum perti
nenci, ec ip( CZ 29atur parallela
HIX, e cenrro B, intervallo BC.
aequali adgresaro vel differentia
semidiamerrorum primi e lc
cundi circuli describatur circula.
Poliricius. denique per A pun.
ctum de scribarur circulus ACH
quem policirius concingac in C.
e linea recta HIX in II. e l
ejus F. centrum. _ manifestum
CA idem E. SiIgnUM FOTC CenCTUN
circuli quem dari circuli, quorum
A, B centra e dara linea recta C L
contingent, ob aequalia ab xqua
libus dempra undiquaque, vel ad
dita undiquaque incerralla. 1149
demmictatur in CZ. datam perpet
dicularis FC, ea erir Lemidiame.
tex circuliL MC, quem circulis
quorum A, B cenera in puncti
L, MI X recta CZ in C contin
gene, habita ea, quam decebic, d
opus exiget parrium ratione. I1a
que factum erir quod oxorcuit
NTrcoctS.
Sic aurem habebitur ea quam
decebit, opulre exisee, parciun
ratio.
dac.
Ve rerrium circulum
CoringanEExETA. Primus circuluS
x 
cujusa cenrum ericmajos dano
loee
primi e
ceder d
Mlaris.
uBC a1
Vererrius
peanei
lCenErI
andu
isterene
dsecone
ua C
ETerI
pete
pdiam
Da
cte,
ae
pneta
1odF
derecta
r
EC
liT
e
pur
10