# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 277, page id 845634801:0283
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=283
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine
# Lines: 80 recognised, mean confidence 0.78
# 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.

BCD, _ 
CBlined
Co quac
circulo.
rculum
quoque
puncta B.
DA inF
e+
1u
t
cial
10
1B1 D
n
Det
d
iorest
 deb
B0
unde
ENM.
NEa,
ct
prili
it
AME
DCBdela
Sica luI
C A P + F V L A.
P R OPOSTF70 TTI.
aqua quadrilaterum quodlem circuto, Cou.
Ex daris quamor lineis rectis quarum ereS simuL SuM pEx sinE majores LC.
Sine daEX quatuoL AHCd LCClL A, D, C, DGuatum cesMmul junctae sunc majoresreli-
ua. OpOrFeE eX CaLISA, D, C. D Guac Gu  Crculo, consticuere. IncelII-
Batur A opponi C, B veco opponi D. Aucigitur A, C erunt aquales, aur inaequales. Sint
mum aequales, ac ipla   stet le quoque aquales. LACIANE aBBCI LCCLt,
llarum, sve erpounues. Biniixicur angulto poutcuobus rectis erune aequales. Ouilibet
im estrectus. Conttructum estigitur eo calu quadeilaletut o Ct
Sedmanenre rectarum A, C
aequalicare, sinc B, D inaquales,
de harum major HEB, MinOrD.
AGAEUE E. P ipE D aequalis. Disfe-
renria aurem inter B, D SCCCTE
aequaliter, quoniam A, C TunE
aequales, _E PTOdUCACUEE Furrin-
que in punctis L, R, polica una-
ouaque productionum FI, FK
aequaliips dimidix differentiae.
eaque sic IH ipA B aequalis, &
PErPUNCtA F, F agaNEUF perpen-
diculaces E. L, FMI, in quibus (u-
maneur IEL, IMI ipCIS A. C ∞qu2-
les, eE junBaTUEML. Constru-
ctum es igicur quadrilarerum
ML KLin quO L. K, MIdaris A, C
lune aequales, X IK, NIL SCHFF
at aquilacers. Lcangulus LML compolicus ett eK LlBIIBICIIDFHL, e angulo acuro
AME, cujus com-
plemeneum est
MIK Ceu angulus
LKI. Angulusi-
BITUIEIML, una
cum anguloLKY
aequatur duobus
rectis. Duadrita-
cerum
itaque
MILKL est ex da-
rIS A, B, C, DCS-
Aructui eo quo-
que calu est in
circulo.
Sed TUInEO A
Dinaequales. F. F
quidem D, D
a
C daris B, C seu D, A aequales, de compleatur paralleloBramUMGHEF, sIvC qu2
luris quoque B, D aequales. A quianeula aucem lunciriangula re ctateula IFM, K F L, quo
l