# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 391, page id 845634801:0397
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=397
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.86
# 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.

pare est R
Oad AB
ucendo
C
tet.
um L P.
ii
DCt
1a
cCip
121
il
A. D ell
ent
Jetm.
tiam in L; FaNGEHTeM verO in M.
NESE KL ad MC, SICUE CF ad FR.
hoc est, SICUE AC seu AL. 2d P. 5.
Converuum ioieur e permucarin
exic AL adK L, liCAT A S ad MC.
Hloc aurem est absurdum. Ipla e-
nim ALM incercipiac helicen in FI.
Exproprietare igicur helicis eAt A L
2dHIL, Scur circum Ferenciatora act
circumferentiam LC, e per conse-
quens, cum eora circumferentia pre
Aec ipA AS; erir A L ad HL L, SicuC
AS ad minorem circumterentia
LC. EF CUM R L cedac ipAFIL. (caD
Sicenim helicen recta CK, non eria
leCaT.) Fric AL adRL, Sicur AS ad
minorem circumferentia L. C. ne-
dum recta MC, qua ipla L. C cir.
cumferentia est major. Non cA
igitur D A minor circumferentia
circuli. Teaque est eidem aequalis.
Circumferentix igicur dari circuli
EB C invenca est recta DA a qualis.
Duod Faciendum erat.
RESPONSORHM. LEDER VIII.
ita secanS F C in R; circumferen
A cHBLLFM.
Sic dixerie aliquis anoulo semi-
circuli equalem esse rectum. Si c.
nim non GEae qualiS, AUF CxIEMAjOE,
aue minor. Sic primum major, et
Cumarur angulus rectilineus; minor
quidem recto; sed majorangulo se-
micireuli. Exsacim deprehender, id
heri non porse. essc enim ad sumpto
quoque rectilineo majorem anou-
lum lemicirculi, demonstrabic. Sir
aurem minor, de sumacur angulus rectilineus; majorquidem recto; sed minor angulo le-
micirculi. Ex starim quoque deprehender, id hieri non posse. esse enim ad lumpro quocun-
que obculo minorem angulum semicirculi, demonstrabir. Ieaque concluder tandem se-
cundum propolium advertus Fuctidem, Fuclideorumre sencenciam.
C A P V F XV.
Geomerrica XxNS péreyorS, bene proxima vera.
DEIx sc analogia circumterentix circuli ad diametrum, adhuc nesci-
LFIF. Neque enim inrentio linex rectae circulo aequalis, sire Archime
dea, sire Nicomedea, est errez O. Arguit itaque Archimedes analogiam
circumferentix circuli proximam verx, ex collatione polrgonorum in-
leriptorum circulo cum similibus polysonis circum(eriptis. Polyson a in-
leripea minora sunt circulo, circumleripta majora. Area circuli media
elt incer aream polrsoni inseripri d polygoni limilis circumseripri. Dia.
Mecer aurem ducta in perimeerum circuli, tacic arcam iplius quadruplam.
Dic conclulic Archimedes circumterentiam minorem esse cripla selquise.
Prima
Bbb 3