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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 363, page id 1815201908:0420
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.89
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Don
aliter.
P A R ABO L A.
DRopolicio hac aliter per Archimedem demonstra-
TuF. Sinc BD, F. F diamerri eiusdem alcicudinis,
e BD quidem axis: ponanturque per D de P, ordina.
eim linex AC, G FI.
Dico RC minorem esle recta CFT, iunganeve
enim ABC, GRHI: _x ex F recta dCMIETAEUF F. I
normalis ad G FI. cum igieur xquales sine distantia
FF, BD, aequalia lunccriangula, G R FT, ABC per
Archimedem. quare De E I ad BD, SC A C adC FI: 
eltaurem BD id est F. E maior P I (cum angulus L in 
criansulo P. IE rectus sic) maiorisirur eric EHI quam
AC. Quoderac demonstrandum.
PROPOSITIO VII
D datum punctum in diamerro parabolx ordinacim pottelet
Constructio es demonstratio.
Iedata parabola ABC, cujus dia-
mecer aligua BD; de in ca punctum
aNignatum D per quod oportcaere.
etam collocare ordinacim ad B Ddi2-
mecrum; alsumpeo in perimetro quo-
nis puncto A ducta sic quaeuis AC,
ordinacim ad diameerum BD cui Pa-
rallela ponatur per punctum D: PaTCE
FDC ordinacim esse. policam d in
D bitariam diuilam. Fecimus igieur
quod petebatur.
RolBsITIO rIII.
A diametri in Parab La CCM ExhIBCFC.
Constructio ex demonstratio.
LB C parabola, d in illa diamerer BD cuiuslacus rectum oporreac extribell
ohca sic quaevis BD ordinacim ad diameerum AD, hancque concinux propot-
tionales AD; DB, AF. Dico A F latistacere pericioni: applicetur enin quLdIS alia
BC pacallela D Bb eticisicur vC A D ad A P. sic DB quadeacum ad quadracu F. C. b. tuiut.