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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 492, page id 1815201908:0549
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=549
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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 0.82
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# After the first blank line: the recognised lines in reading order, one per line.

AlABa
Demonstracio.
Donancuricerum DC paralleta AB. eric igieur D C quadratum ad quadracunt
C, vc AD lincapalipcam s L, Id eAt BC ad BC; punctaixicur B. D, D, a 2d
E18, CCXOII1.
Seo ABCD parallelogrammi diamerer BD,
quam in C, Secenclinex quorcunque E F, P2-
allelae laceri AB. hanc aurem proporcionales FF,
se  sgnil
DicoB. H, Apuncta ese adparabolam. 1
13 53slce
Demonstratio. deii
6.dis
Voniam F F linex aquales sunE, Fectangulu P RC ad
F F C rectangulum cst ve C F. linca ad lineam C Fsid
CA ve BF ad BB. sed F H G rectangulis aqualia po.
nuncur quadraca HIF, quadracum igitur EIFi. est ad qua-
lTacUIM HP, ve F B linca act _Cam F B: quare B, FB FI, ad 0 parabolam CunE.
eROPOSIEIO GEXCI.
Eeere:
20SAM
Acera ansuli ABC, secene
quorcunque parallelae AD:
qua dividantur in E, vED F. (ic ad
E A, SICuF C D est ad DB.
DicoB, E, C, puncta esse ad pa
rabolam.
B: Demonstratio. 10g0
luisd B C bilariam in D, cris LEuTFC
Parallela AD: Sccccurque FC bita
riam in FI. dein per B, FT. C describatue
Parabola qua in B concingat AB lincam,
e63. hrins. dividec illa rectas A D M L punctis, DED E ad F A, cam habeanec rarionem quam
CD ad DB: quadeCum sic divilae ponancur, cruncpuncta BF. C adparabolam.
PR OPOSIFIO CCKCV.
Dico B, F, F, esse aa patacrant culustatus rectum est AB.
ex1. H
ParabOlAM CUNE.
iF
2bid.
Ic ABC criangulum rectangulum; ductilq; ex A lineis quorcunque
AD, ponancur ad D, linCx DF, DF: d D F quidem normales ad
AD, Occurrentes AB laceri productoin E: D F veronormales ad C B:
Occultant aurem DF lincis in F, lelta F. F parallele lateri C B.
I
Demon