# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0446
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0446?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 440, page id 845634801:0446
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=446
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000446.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.82
# 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.

NEV NEMEN ADVER SVS XTOVA
Ac vero, esturperimeter circuli ad diametrum, ita quod sc lub pettetco circuti et
quadrance diamerri ad id quod sr sub diamerro et quadrance diamects. Sed id quod 
Cub perimecto circuli e quadcanre diamerri, est aequale circulo. Ouod durem sc lub dis
merro d Guadrance diamecri, iplum est quadrarum à semidiameero. Frgo es urperimi
terad diamertum, ita circulus ad quadrarum e lemidiametro. Oualium aurem diamet
CAI, talium perimeter major eR3= 2, d ranco manifestius major 3 (eu 3 f. Oualu
igicur quadtarum lemidiamerri A B erir quinque, ur ance, calium CIr CUTS CFIE majOF15.
Hlexaconum actem in iildem partibus fuir minus r3. Ouare circitas aet Hexagonum
inscripcunts)orem habebicrationem quam 15 3 ad 13, id est, quat 125 ad 104, Ccu 6 dc
4+3F, e um Seridentius majorem, quam (ex ad quinque. Ouoc etat ostendendum
Non igieur na (~ rd Espaesuae circulum quadrant, qui eum hexagono e Gucncae parti hexasoni s
ruune aequalem, cum sit Major secundum limites ab Archimede M E idicor dexcorprasticuros. Scho
aurem nostrae Platonica func, oprosessores candidi. Ouare ne princip Geometricis obluctamini. EC re
ro uccirculum ituatunt enennrai, sic in damne abcex com pensationem caudae suae bircondinumm
44C
acuriorem versus partem jam decurtentor.
PR ODOSFFIO V
Triginta (ex HCxAGONI CEGMEnEA majora sunE CHCHIO
Ouoniam enim circulus adhexagonum ei inlcripeum majorem habet lacionem, quat
major sexrance circuli. Sed ditterr circulus abherasonoper (ex legmenta hexagoni. Set
isitur (egmenra hexasom uperasst lestantem circuli, acque adeo crisinta (ex segmenta
eruntasse circulore majora. Ouod erar ostendendum.
PR OPOSTFTO VI.
Cex ad quinque, (eu as dd dextantem, Ideo Melen et CCum e hexasonum eta
Omne seomentum circuli majus est sexrance secoris similis, similiter.
sde delcripet C circulo, cujus semidiameter bali segmenti propoliti et
aqualIS.
In descripeo sub A cenrro, circulo BD C, subrendatur quaevis circum ferentia BD; cam
Bat aurem circulum recta BE, ec cencro B incerrallo BD describatur circulus alter Det
Circumterentia igicur E. D similis erie semilsi circum ferentix BD. Traque suma
circumterencia iphus DE dupla, dc jungancur BF, AD. Similesigitur erunt sectote.
FBD. Dico leemencum circuli BD C concentum recta BD et circumt Eul
Tabrendicur, elle majus lenrante LCcl L BD.
Delert.
Arc
ctic
con
culs
qua
ine
u
ex
ter
ten
quc
Car
tHC
u
10
Geo
110
aCC
si
EUT
mi