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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 262, page id 1815201908:0319
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.85
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# After the first blank line: the recognised lines in reading order, one per line.

  .   A 1 5 1 2 1I
LEP.
Demonstratio.
BOnalue A F ordinarim ad B D SIEGuCHX een-
erum ellipleos; eric igicur 2 linea F II diuila
in B X F in cres continue proporcionales. de-
mictatur quoque CC ordinarim ad BIB crie
denuo F EL divila in B, ex C, in eres lineas in
analogia continua; igitur L ex C. puncta lune
cadem. quare recta AF C, est ordinacim posica
ad diameerum B I. Gduodtuir demonstrandum
s.. Corollarium.
Inc sequicir. R cllipum AB C contingane
LlinA e C, rectae dua A D; CD convenien-
ees in B; iurrelaque AC, bitariam sececur in
F, rectam D F. Trarilire per cenerum sive innctam D P este
diametrum sectionis. E enim F. D non lic didmeter, duca-
cur ex D diamerer DF, ocCurrenS AC linexe in F. crie
isicur per precedencem AC linca in F; dinila bitariam,
adeoque punctum F, idem cum F. unde D F recta eadem
comlinea D F: Quod est concra suppolicum: quaro D F. (c.
ctionis cst diameter. Ouod erac demonstrandum.
PR OPOSITIO XXEVE
EPelliplim canganc bina recEx cocunces in D, et
D ex cenero ducantur G A, GC, OD.
Dicorriangula GC. D, CAD esse xqualia.
Demonstratio.
3s. hnins. D Vncta concactuum innganeur recta A C. quoniam c A C bilecta eA in B. crian-
sea C AF, GF C, IICM DF C, D P A xqualia crunc: duo icaque criangula
DBC, DEA. hoc cst torum D C C, aquabuneur duobus cniangudis D F R, F. AC.
hoc est cori C AD. Quoderac demonstrandum.
PR OPOSITIO RRXVIL
LALIM ABC SecenE AC, DB: diameiri quaeuis aSRNEuEPCK C. &e
rangentes, qua per 34. huius comneminur cum diamerno IIl in
1215111
J2. bnim 13I
opercanat
codem puncto.
il.
Dicoleas ala ce aa, us agataucali.
res, diamerrum HIK, in vuo eodemque puncto incex lecare.
Demon
u  n    m