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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 657, page id 1815201908:0714
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=714
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine
# Lines: 64 recognised, mean confidence 0.81
# 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.

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AIZP ERBOL
eROPOStTIO CCXI
Ropoucumuacadem.
que praxicres cont ut
nes delcribere.
Constructio es demonstratio.
Ponca A A linca, scceturrectis
BB, CC parallelis; incer rectas
vero AB, B C inprima fourame-
dixe ponantur BD. In secunda ve-
ro _ certia inter AB, AC, me-
dix ponancur AD Pacallelae incer
sc. Dico in prima tigura a parabo-
Jam oriri, in secunda b ellipsim, aue
circulum, in cerris denique chy-
perbolam. quarum demonstracio.
nes luis lociscum expolex sinc fru-
Ara reperendas censeo.
PROPOSITIO CCXLI.
Acapalabora uli
in directum adiungaEuE
quadrarum aue rectangulum
BC, vel BD. porraneur autc ad
axom B B ordinatim AB, per-
cingenres adlatera rectanguli.
Dieo BC quadrara acdira quad a , producerepacabolari.
Demonstratio.
130. D2
Dolca suncin parabola F C O ad aXem BF; quadraca isieur A B, vnâ cum quadraris
BC parabolam producune P G P. Ouod crar demonstrandum.
idem est sc hyp erbola adiun cabuer quadratum aut rectamtiulum.
3000:
BOnacur FO parabola cuius axis RF, aqualis patabola A B B id est habens larus
rectum axeos aquale laceri recto axeos BB, _ IB, aequalis lumacur LN qua in
F C Parabola ordinarim d applicetur ad aXem P F lunsae F L aquali FC C, deer 5. de
POnanCUT F, N O, _ N, OM aequidistantes RL, L P. CBu LVL lectangulum parabola
aquale rectarioulo BC e RO quadrara aequalia quadraris BC. vlcerius A inter
PO. O medieponi incelligantur, producent ille parabola a Guac L. C, C, id
Est AB B: lidC est parabolam producene habenrem ad axem lacus tectumt aequale
liceri recto axeos BB, rectansula igicur POO Parabolam producune AB B. Sed
POO ecam maa eu Guaaus H. Guaaca Proltucunc P R qua ordinacim
R
ESIG ES S oE BaSE