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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 273, page id 845634801:0279
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=279
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 recognised, mean confidence 0.80
# 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.

Ib, extIB
IFCH,
erentit. 
1
EquB
extra
HF.
Liam
ia seh
paralleta
ponial
pe
et
et
t
rod 
latt
PSFV BO- MESOL ABVH.
SaEUIE, NOI CLIAIL PaES LAHEUM. COHFNSIE CNIMI LXPENUMMEFO UIL PAKtC
concesta alteram quoque parrem conceu. Ouod iplum est quod probat
Co paralosismace Sophista, non quod libieltprobandum. Vepote placeat
VadouEoDNaBeir. Nam e c et  dae sicor CcripsE Fuclides, cujus librum invi-
utinjuria temporis, e nobis carendum est dro r 4d da escct.
Sic igieur  4 No7i (co.
d doclopque
Anguli qui siune ab in scripta _ diametro circuli cummutua carum les-
Menta suntin continua proportione, qualiscum que Lcratio continue pro-
Portionalium, Luneaquales.
Sine quaruor linea rectae continue proportionales, lire et noqu dmueio, vel dmoepei
Al nom a onaou. Ieque enim addic, rel adimit il odoyeq puan coei n aandes ilta di-
etio. Calieinem lixpiencibus Forcaslis inducir proprer insensibilem per organa ditte-
uam, cum noy O est Smuoet O, vel Smucpuis. Sed neque prodest operis Aructura
allinctio conrinuae analogix à dibuncta, nisi Forre capranc animos ad captandum medias
peciola verba, qualia, Angulos qui tiunr in sectionè inseriprx e diametri, cum murua
earum sEomenta sune in continua
proporrione probabiliter videri X r.
ulicor, CC pon aestcos ExovECN. AF
concra in proporrione disjuncta esse
nonvIcorCoNn, Un aSaTCS ExoVTCV.
dunco illae A, B, C, D. FacIAHE CaM-
dem lineam rectam LR, H L polII
iplis A, D aequales, _ describatur cir
culus ad quem perriner diameter IL.
Ex I in circumterencia lumatur
EM ipEB aequalis, actaque MK sCCCF
quoque circumterenriam in N. EF
quoniam quod sc Sub MLK, RN, ~-
quale est ei quod AESubIK, R L. SunE
CEM LK, IE L. ip LIS A, D aequales.
Mt reco ipAB, d ideo K N erit
equalis ip( C. Exponantur quaelibet
alixe quatuor continue proporriona
es sive earum quadcata line ip (ISIK.
LM, KHI, KL. Cimilia Cive dissimilia-
quando e illa distinctio rodoreapi-
nan uei ro aandes nihil addir neque
dimic, neque quicquam Facic ad sta-
uendum aequalicarem aliam er d-
uoero novu aliam er cucpci. quoniam
quadrara porerune elle in ratione lu-
Perparriemce, ee rectae ip(X erune in
aperparticulari. nempe s quadeara
hncur 25 ad 16 qua rario est superno.
auparciens decimas sextas, crunc iplae
onsirudines in se squiquarta. Sinc igi-
ax quacuor illae alix rectR F, F, O, II
abiles distimitelve, eo norc purcon depura, iplis LR, K M, K N, L L. DicO cum extre
e junctae tiene diameter circuli de medix junctae inscripra, ira le lecanres ur scgmenia
CIPEISE, F, C, HI aequalia, angulum sectionis Forc angulo M. K laequalem. In iplaenim
Merto l L. sumancur ad parces 1, L. recta K C, K R ipsis F, H aequales. In inseriprave-
M N ad parreo M, N recta K V, K Xip ESF, C aequales, de deseribarur circulus cujus
dia-
Ca cis diut T quorercor. Sed reducendum est eis io aduvarr torum quodne.