# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0265
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0265?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 259, page id 845634801:0265
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=265
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000265.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.71
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

1C
telob
ilts
1B, i
it dest
1e
cet 
hin el
e
et
s
PS E V B OLMH E SOE A BV HI.
equalia, ac xqualia quoque RFI, L. I. FF CUM RD, CLAMCMES aGUaHDD, CL.
uerique lemi addatur Kes tett L.I. L asttalis CL, ec reliqua BH reliquae IL.
9
Duoderar oltendendum.
PR OPOSETTO TI.
Si diameerum circuli secec inseripea, quae vero per extremum inscripex
nuaproporcione, inter lesmenta Mametri.
ducitur ipli perpendicularis occurrat diametro in puncto quo continuatâ
est diameter per interrallum inscripEx: Crunt legmenta inseripex in conti-
Diamerrum circuli AB in(CFIPIA C VICCCLMML, excierur aurem ad C perpendicularis
GUIX OCCUTFAE SIAIEFEO CONFIHIACA aet PALLCS LLIM F. EFHEContinvatio AF, aequalisip(I
in(cripea CD. Dico cAeuE AL ad LC, Ha F C ad ED, X ITA ED ad EB.
Auc enim reCta FC circulum catSI, au ecal. Lium cansac circulum recta FC.
Ouoniam anigulus FCD est rectus ex hypothesi, ideo erir E centrum circuli, de Segmenca
Quaeque in scripearum, Cemidiametri. Lcaque eriruc AE ad E C, ita F C ad L. D, dE iCA F.D
ad EB, aequalis ridelicet ad aequalem.
cemerum contultun murua lectione AB, CD. SiIC illudLI, d aGREUF AIAMEEEF Cl, de jum
BaLCUE
Scceraurem circulum recta FC in C puncto. Acta igicur GD crie diamerer. Ieaque