# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 389, page id 845634801:0395
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=395
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000395.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.83
# 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.

dinem l
0sabaa
tacFiP
quam
1
P mino
e
d
C Major
6 pluS
istilineo,
Ouodea
ectilin
inOL ext
0ira la
nEr0 il
Gencet
C5, sie
itaria
11O3
DicoB
es
n(C
FtE
(In
caEC
R ES FON SDRDM. LTBER VTTI.
heminor quam CI. verum est rat
ip(a FK, nempe iplam CK: cum
Clmaximam.
ajodno. Nleque enim X FaM PFO-
Xima ip( C L delignabic.
quin educerur FR ipli aequalis, e
tamen different C L, F R. Scca
bicenim C E circulum in F, CUI
SIECK alia a cangenre C L; dc mi-
nor ipla C I; major vero recta
C FI. Sectio aurem conce in
duobuspunctis. Utde linea erit
inscripea C F. Ilaque nara Dooir
veruI es aliguam ellC HNCaMM,
quae etirminorip(a C I, L IIa)OL
imaginabiuE CR OMMKMA BOS
P R OPOSTFFO TII.
Circulo dato, e linearecta in eo inseripea, quae diamerro minor existat,
tro iptericens inter circumterentiam ex inleriptam le habeac ad partem
cansentis quae est inter contactum ex iplam eductam, sicur dimidia inleri-
Pta ad majorem ea qua ex centro inscripeam illam bitariam secat.
Sic darus sub A cenero descriprus circulus, cui inscripea siFBC minor diamerro. lecta
bitariam ab ea quae ex cenrro in D. Sed e rangar circulum recta L.C. Dicoposse educi
talem AMNO; secanrem BC in M; circumterenriam in NV; tansentem rero L. C in O: UE
MNadOC. Pe ha-
bear ue DC 30
quamcungue ma-
jorem ipla DA,
Urpore DS. IpC
enim BC agaF
diamerer parallela
G AII, quam can-
Gens L C secet in
L. Sune igitur (1
milia criangula
ADC, ALC. Ou2
re DC ad AD est.
SCur A C ad C L
DC vero ad D5
eAt, SICUE AC ad
majorem qu’a CL.
Sitilla C H, & pet
eria pancta R AF
describatur circu-
lus, 2d cujus cir-
cumterenciam producatur AC in R, ec eidem circulo in seribatur AMNOO: ita UtOO
Meip( CR aequalis. (Id enim heri porest) quoniam CK constructa est major quam CL.
Dico cNEMN Ad OC. SICUEAC ad CK, Seu DC ad DS. Es enim O A ad M A, BCuEOL
AdCL: cum SineBC, CL parallelae. Ieaque quod Arsub OA, CL, aequale est ei quod AE
abMA, OL. Sed et quod sc lub KO, OL, aequale est et quod Ec sub AO, OO. Est au-
em id quod sc lub KO, OL. ad id quod Sc lub AM, OL, Sicur K. O ad AM. Fr uc id quod
b
_ alia inCUPeF Qua CHCIICIH CatS al u leripEX cermino, educere lineam
e centro ita lecantem circulum ex iplam cangentem, uc pars eductx c cen-