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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 604, page id 1815201908:0661
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.80
# 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.

araboia
504
abola.
124D
22 2 12
yperbolam expenait a parabola intersectam.
incasymproti AB, BC, H) PCOIX DE, continences anculum re-
DicoF. C, ad DO rarionem duplicaram obcinere illius, quam haber
Demonstratio.
Voniam BC axis PONIEE PAFX
Lbole BDF, _D C, F C ad cum
dem lunt normales, repoce AB(PCF-
pendiculari ad BC) aequidictantes,
racio BC,adB C 2 duplicaca cA cius,
quam habet DC ad FC: scdveBC
ad BC, bsicP C cAad D C, dupli-
caca estigicurrario F. C ad D C, Fa-
k OPOStL1O CXL.
Dctum: parabola vero describatur BDF, cuius axis BC, OcCUTrenS
DO ad fC.
b74. loutad.
ExI. de
hyperbolae in D: PONANCuTG; DO, F C parallela alYMPEOTO AB.
tionis DC ad F C. Ouod Fuic demonstrandum.
LLOOSEEIO LKLI
InE ACHOLLB, DC AIMPIOE B PCtBOIE D HIECCLII anguum
concinences; descripea aucem varabola BDF, habence B C axem:
Ponantur L. F, C C. parallelae alymptoro AB.
Dico rationem IC ad HF; esse duplicaram eius, quam habet EF
246C.
 et Al er
ByA huiue.
Duodtucmonstrandum
Demonsratio.
menim ausutao aB cEc
guidiltantes, normales luncadaxem
sie, linea FF,  C ipA AB X.
BC vaderatio B C ad B F, c dupli
caca clE racionis OC ad HF. Scd
racio BC ad BL. cadem elt cum
sratione FFT ad TC: isieve rario
F. F; ac proinde rario IC ad FTF, du-
plicara eius, quam habet P F ad6C.
HIF ad TC, duplicata est C C ad
i
PR C