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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 661, page id 1815201908:0718
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=718
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 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.

A
les po.
Ho
F6
b
HPI
dASI.
sulum
ett
intet
pleos
Cd
ites
Iela
irriei
1a
IR
alia
siae
a-
is
HIY P ERBOL A
t
superane quadraca M CF id eA VF, rC.
cranoulis IIM Y. SCd F L quadraca quo.
que lIpCrANE quadraca D F reccangulo
E D CF bis TIIMIPEOABBA CII GUAdEAEOF DI
ceceanoula igieur FD E bis sumpea vna
cum quadeaco F D, aqualia sunE RCCTaN-
SuliS AIMY: Turlum si FD G FeCtan-
sulis aequalia Ranequadrata, b producene
illa patabolam, e A parabole illi adda-
CiE E D quadracum; producerc illud vna
cum parabola, Parabolam; isicur et
AIM X rectangulis E xqualia Aanc qua-
deaca, produceneilla parabolam similicer
MP O rectangulis aequalia tianc quadea-
ca, producene d illa lixperbolam; qua
addica parabola, quam AIMY produ-
cic: generabie, c hyperbolam; igieur R
FTP Y rectangulis, (que aequalia lunE
TIMY, MP O) aequalia hanc quadraca,
producent illa quoquehrperbolam: cui
li addancur quadraca PCi, Producencilla
simul Ecum hrperbola, hyperbolam. (ed
TIP Y rectagulis vna cum quadracis PO,
aequalia sinc quadraca HO, id cA F F,
quadeacaigicur F. Fi lyperbolam produ-
cunc cujus ordinatim ad axem posiex
sune P. F, id est C. H: hyperbola igicur est BH, Y Y.
PROPOSITIO CCXLVII
Eperbolam AB C cuus axis AD communis est paraa ca Gua
Constructio es demonstrario.
deacis Et G; M G: ad eoque E F quadraca
Lorca cA, redutere ad patabolam.
aco da atc Aaspeloola Occuaci
lineis BR; Aanc F B lineis aequales AF. dico
AFF esse parabolam que produxic hyperbolam
ABC: Ponacur AC lacus cransuerlum hyper
bolx; quoniam isitur AB C hyperbola ONtA Cx
Parabola communem cum illa habetaxem, re.
ctansula CB A aequalia sune quadraris BB, id
eA perconstruct. quadracis AFi, id est quadraris
AP, F. F: ablacis isicur communibus quadracis
A F, manenc C A F rectangula aequalia quadra-
eiS EF: vnde vE AE ad AF, BC F R quadra-
cum ad quadrarum PB: parabola est igirur AFF,
ex eadem ex qua orca est lyperbola ABC.
in
. ha
tn
o
Scholion.