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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 539, page id 1815201908:0596
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=596
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.
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# After the first blank line: the recognised lines in reading order, one per line.

re-
re-
9.
oc
e
de
ALLLBOLA.
luisa AB bitariam in C. Hac De lectangulum AV D Ae AVB, 1c2
DE guadracum ad quadracui DF. hac dcIHdCM AVB Fectan.
gulum ad rectangulum AD Bra cae D Guaatato, ira quadrarum DF
PROEOSTFTO IZ.
addF quadracum.
DicoCOF elle rectam lineam
Instratio.
ronam rectangulum A D B ad A DB, cumquadrato B C eam pOnAEUE Con
Lcincrerationem quam habet quadracum D F. ad D F quadracum; igicur ve re
ctangulum ADB ad quadracum DF, ica rectangulum AD B una cum quadra-
1o CB, hoc estica quadracum CD ad quadracum DF. quare ve CD quadracuir
ed CD quadracum; ica D F quadrarum ad quadrarum D F. hoc cst C F quadca
cum ad quadrarum C F. PAcCFISITur CO F esse in directum. Ouod crac demon-
Arandum.
eret. SS ISBB CMC
IIdem poltis:
PROEOSITIO Z.
L Diconunquam punctum E Fore commune cum puncto F.
S C) IA  Demonstratio.
roniam elt quactatum C D ad C D quadratum ve DF ad DF quadrarum,
Le ADB rectangulumi; ad AD B rectangulum; ve quadracum DF. ad DP.
quadracum; igicur crie rectansulum ADB ad quadracum D F, ve quadratum C B.
alrectansulum F F II. erso ve CB quadracum ad CB quadracum, icatectangu-
lum F F HI ad F. F. H, rectanousum; igicur F F HI rectangula incer le xequalia sunc:
isicur FD quadracum cum excedar quadracum F D, rectangulo FF D, eris lincx
F.D maioriInca F. D. non igicur eric rniquam commune punctum P cum punstOD
Duodtur demonstrandum.
vect
13 3oEL ∞IISBEHIBNB C) LA BC. TATF 111222B
P R OP O St  i9a634099.529230
Ildempolicis:
i
121 = OPL LLSG (LLI 3: 3KB
Dicoquoremotius erit D à puncto B; co F L recta remorior à li:
nea G B minor eric F L, viciniore rectae GB.
Demon:
emgotot121213221326 27 10 1 20 2L 22 3334 3520