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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 728, page id 1815201908:0785
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=785
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.74
# 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.

Des PMNSAp CIA
eil serei e
a L t S. a  E B1BELB S.S. . 11B S1ODC
d ML ZHVESHIY. N eSB: LICSNC
a1c
LLL Ll15
Universales quasdam continet propositiones, reliquis plane fundamen-
tales quibus corpora ex duitibus orta inter se comparantur.
PROPOSITIO, XXXII.
Seo ABC crianguli lacus A B dinilum in quaruor parces aequales
Linpunctis FsD, FI: ductisq FG, DC, HII, laceri AC parallesis, de-
MIETANEUE, Cx C, F, I, linCx OMI, F. N, IO parallela laceri AB.
Dico Aguras FM, DN, LIO, Simul sumpeas, maiores esse dimidio F.
surx ABC.
A
Lmonoim
111El. A.
arig sc stusto
bcrp. AETC nuociclao
tiesp Oei
11
(7T AD ad HB, _ A C eHt ad FIF, id est ad AO; sed FTB COnFINCL cES
Parces. Guaruns AB haber quaruor ex construct. igitur _ A O eres parresha-
bec, quarum A C Concinet quaruor: unde AC maior estreaZ AO: e illa maior
quam OC: ac proinde IIO hgura maiorrriangulo OIC: eodom modo ostendi-
cur D N figuram maiorem cserriangulo NT FI, de sic de careris. quia vero BF,
FD aequalessune, parallelosrammum FM duplum est erianguli F B G, id est aequa-
lecriangulis FBG, MLG F; FigUER igICUE FMI, DN, FTO amul sumpex, maiores
Cune quacuoreriangulis FB C, MGF, NY F I, OPC, id est residuo AguTX AB C, qua.
re ex maiores sunt dimilio ciusdem. (uod oporrebae demonstrare.
LLLOlo3CliIo LLaCI
Sco ABC D figura quadrilatera, habens AD, B C parallelas incer
le; diuisâ aurem AB in quaruorparces equales punctis C, F, I, du
CanEUT