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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 345, page id 845634801:0351
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.84
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# After the first blank line: the recognised lines in reading order, one per line.

test CBa0
COMMI
1do et pe
porceba
ips
eUM
pr
Duacerid
BD. Es
C peripl
2tis, inVEtI
C5, le8
Orcet invel
nima
e Hacre
e
ulu5D
recto
TFI
c0.
iadet
es
9b
H5, 
ita
In daro circulo, cujus ACenErUM, Signara sunEO eria punCta B, C, D. Oportet inve-
nire punctum, a quo acta ad B cum acta ad C taciat angulum aequalem daro ansuloC.
acta vero ad C cum acta ad D angulum xequalem daro ango 8. ucls bC, CDIhcl.
nentur CB, BE ad angulos rectos, _C BIEF.
lignum in peripheria. connectendoigitur
DE inclinabuneur quoque CD, DE ad an.
Suios rectOS. Sumatur aurem angulus
BC Exqualis complemento anguli 5, ica-
que C F InEeESCCeE BE in P. Sumatur quo-
que angulus DCG aequalis complemento
anguliae, ip laque CO incercipiae DE in C.
Porro in actam CF eadat normalirer CI.
Ajo lesse punctum quaesirum a quo cum
ducentur LB, IC, ID, crir angulus CIB an-
SuloE aequalis, anoulus vero CID angulo
D. Ouomam enim anguli CBF, CIF COn
Aructi sunc recti, ideo puncta CBIF CrUNE
in circulo, cujus diameter CF. Iraque an-
gulo CFB anoulus eIB erir aequalis, et
ideo angulo C, cujus complementum est
angulus BCF ex constructione. A que
quonia anguli CDG, CIO constructi lunE
recti, ideo puncta C, D, C, Terune in ciccu-
lo, cujus diameter CG. Icag; anoulo CGD
angulus CID erit aequalis, et ideo angulo p, cujus complementum ett as et
constructione. Duare Factum est quod oportebat.
P R O BL P M A 1.
Dato criangulo, invenire punctum, à quo ad apices daci ertansu dell
creslinex rectae iperatam teneanE rationeM.
Sic darum criangulum
ABC. Oporret invenire
punctum, a quo actae ad A,
C apices dari rrianguli
tres linea rectae imperatam
tEnCRNE FaLIONeM, UEpOTC
acta ad A ad actam quidem
ad B cenear rarionem S ad
e ad actam verond C re-
Deac rationem S adR.
Sic jam Factum, ec sicil-
lud punctum E, itaquC F. A
se habeco ad FB quidem (-
cueSad O, 2d FC verOH-
cur S adR. Cum ioitur seca-
BiEnE AB in F aE SiC AF ad
ad FB, SCUTE A ad EB, id est
Sad O, _ COnReCtCMEEF
sectus eric bifariam angulus
AEB. ICaque cUM in E. ACU-
METUE F. C ipSI FB aequalis,
et connectetur BG, lecabi-
cur BO bitariam, et ad anou-
lO5 rectosa rectAEF. SccC-
rur in HH, de connectatur FC.
HBOFC, FB erunc _ qua le5.
uC.