# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 327, page id 845634801:0333
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=333
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine
# Lines: 75 recognised, mean confidence 0.85
# 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.

seribete.t
quoniam
ta ex Ccdu
C deseste
deserip
equicu.
alus NO
ea secali
uS pun
Ihc18
dsclut
C ex C0
oPON
1C
et. 
1I.
ircu
linet
b
octetpet
cC, 4
ancus i
aralletan
rectosa
AC1
escrib
ph AD
ecat
caGu
Ouod E non Fucric AB ipsi C Z.
Parallela, conreniant ambae in F, (c-
CeTUF aurem EZ in C, ica ut quod AC
sub EB, E A aquale (C quadraro
ipLuS F C, _ per puncta A; B, C de.
scribacur circulus. Lgieur FaNGCTUE
2 recta E CZ. per expolirum Lem-
ma. Ergo quocunque casu delcribi-
tur per puncta A, B circuluS ABC
quem recta CZ in ipso C pun-
cto conringit. Quod etac FasIen.
dum.
PROB LEMA III.
Datis tribus lineis rectis,
describere circulum quem ha-
rum unaguaeque continoat. -
Portet aurem datas lineas re-
ctasnon esc parallelas.
Sinc datae cres linex rectae AB,
CD, BD, acque harum BD nevtri
reliquarum (c parallela ex cautione
adjecta Problemari, itaque reliquas
secet in iplis B, Dpunctis. OpOFCE
delcribere circulum, quem rectae AB,
CD, BD contingANE. SECONEUE BI-
Fariam anguli ABD, C DB a rectis
concurrencibus in F, itaque CINE
BE, DE, d cadane in AB, C. D. BD
perpendiculares EA, F C. FF FrunE
igirur ex aequales. Friangulum c.
nim rectangulum F AB limile cA
criangulo rectangulo FPB ex con-
Aructione, urriulque vero commu-
nis est hyporenusa BF Ouare alri-
rudo F A alcicudini P P erir aequalis.
Sic octendetur E F aqualis ipH F C.
Cenrro igitur P interrallo L A seu
EF vel FC delcribatur circulus
AFC. Delcripeus est igitur circu-
IuS A F C quem rectae AB, CD BD
cangunc in punctis A, C, F. Ouod
cractaciendum.
Lemma.
Per datum punctum aucere
lineam rectam secantem duas da-
rao ad aneulos aequales.