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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 517, page id 1815201908:0574
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=574
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.79
# 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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Ddral.
Tad
C
ale
erce
talia
aus
Sula
ali3:
did.
au-
ER
a1.
6,
PROPOSITIO CCCLI.
InE ABC, FHC parabola parallela, lecta aurem AB conringar in
 parabolam F. HTC; ponancurque DL. Guidistantes AB.
 quatato, aequarirectansula lingula L.
Demonstratio.
DOnatuE A EI aequidistans diamerro
CC, Occurrentque FHI CParabo-
le in II puncto per quod recta pona-
cUE PTTO Parallela AB: VE C G ad
ATI, EC ACB rectangulum id est
quadracum A C (est enim AB COn-
lingens in C bistecta) ad reCtaNOu-
lu  P FTM: aquales aucem b sunc dia-
MCERI C C A FE, IgICUE _E P FTM rC-
crangulum aquale eA quadrato ACF.
sed P FTM, D F P recrangula c X qua-
lia Cune, quadrato isitur AC aequalia
suncrectangula lingula DF P.
EROPOSITIO CCCLIS
Ildem policis: recta A. HI OcCurraT D P. lineis in l:
LDicoDIE rectangula xquari quadracis F L.
Demonstratio.
Voniam DP linex in L divila sune bitariam, de nonbifariam in F, quadeara
LTD equalia sunc quadraris L F una cum recrangus DF F: eadem de caula
quadraca V. D aequalia Cunc quadraris C. I, vna cum reclangulis DIF: reccangula
isiTuE D F F. vna cum quadraris F L aequalia sune quadraris P T simul cum recEAn-
Sulis DLF: aequalia aurem osten Ca sune d recrangula D F L, quadratis L. Lid est AC, S3 GL. B
relidua igitur recransula D AF reliduis quadraris PL qual .
EROPOSITIO CCCLIII.
Nera parabolam ABC
Lastumpro quouis puncto
D povantur per D lince
quorcunque AB, L. C:
Aant aurem AD, F. D li-
neis aquales BF, CC.
DicoD, P, C punctaese
ad parabolam parallelam
Parabola ABC.
itton
DEmonstracio manisecta est ex Coroll hurus, bb. demonttracu est polrisparabolis
paralletis ABC, DFC rectaS F D, G C, irem AD. FB esse incer se Xquales.
voccils
P A R A L
2 47. hoii1 s.
B FX 333
11 16.ton
xplica
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