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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 335, page id 845634801:0341
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=341
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
# Lines: 78 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

circulo, da
ematI
3
neIBBC
Eculut
MenA.
e jub
recta
(ec+1S
12
urin 
CcueAR
pund
secactu
ilet
enim.
(ecan
ne
IMI
Itit
C
10
XCD
l’a
0d
5, n
60
L Y
E
 punctat. L. iPsis C. Il. A)dEa quod fit sub M,  B agnar ia quoi sib sud
MFI, M A.
Subcensas BC, Fe perpendicula-
TCSKR, LS, eE Connectantur (C-
midiamerri K C, LC. Ouoniam
BC, FC proponuneur smilia Tuo-
rum circulorum (egmenta, RC
vero _ SG sune semiltes subren.
Parum BC, F C, ideo similia sune
criangulaKRC, L.SC, d paralle-
IX KC, L. C; atque adeo anguli
CKD, GLH similes, ac denique
subrensae eorum amplicudini CD.
CHI parallela. Ouare CA UEND
ad MC, ita MHI ad MC. SedMD
adMC est, uc MB adMA. Ecideo
quod Hc sub MIB, MO eiquod AE
Tub MA, MIL est aequalc.
Cadanc enim excemris K, L in
isdem positis, A) deademrarione id quod fit sub V Z., H D, aequari ei quod fit
Sub M F, MC.
Ononiam enim EFOFI esin circulo, ideo est MFL ad MIO, SiCUEMIEad ME. Sed MIFI
ad MC eAt, SicuE MD ad MC. ErSOOstMF ad ME., SICUEMD ad MIC, e ideo quod sc
lub MIE, WD ei quod Sc subMF, M C. est aequale.
PR OBL E M A YX
Daris duobus circulis, ex puncto, per dacum punctum circulum de seri-
bere quem duo dati circuli continsanE.
Sine dati duo circuli, unus ABCD,
altex EFCH, ee praecerea datum L
punctum. OpOrtet per Ipunctum
circulum deleribere quem circuli
ABCD, EFOH contingant. Cir-
culorum ABCD, EFGFIjunSANCUE
CENETAK, L, _ in R L inVENIAEUT ex
anrecedenre, quod primo locopre
missum est, Lemmate, N punctum,
dquo, cum ducentur rectae lineae
secantes circulos ABCD, EFGHI.
Similia sinesegmenca. Ip(a veroRL
secer ex diamerro circulum ABCD
in Sionis A, D, CIFCUIUM VETOFFGFL
in signis F, EI, _ ica sCCCTUTMLin
V, ur quod AELub NL, MN aequa-
le SIr ei quodAESbMH, MA, et
PeFI. N puncta describatur circu-
lus qui a circulo ABCD FaNGAEUE.
Id enim jam docuiceroblema octa-
vum. EC Cic conractus in B, et con-
necta