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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 242, page id 1815201908:0299
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=299
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 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.

M  ppu ulpuempen
E L. L. IPSIS
E FLNP T LO NF S
lineas, recta cuidam x quidistances bitariam dindic. d li guidem ad
rectosillas lecetangulos, axis dicetur: in quavis aurem ellip(i binos etse
axes, e quidem coniugaros (qui extrema dicuntur diametri) hoc est qui
mutuas parallelas bilecent ad angulosrectos, luo locopatebit.
1I.
Ordinatim ad diametrum applicari dicitur vnaguxe que linearum x-
quidictantium, ac bitariam diuilarum.
Cenrrum ellipleos est punctum quod diametram oltariam diuidie.
Ouod aurem linex in ellip si per centrum ductae biFarIAM LCCCNEUE, prO-
poL. leprima huius libri demonstrabimus.
DiaMCcI cOMIUSaCa aICUNEUE quE mutuge Pdlallelas Bllalat leca
lamerer ellipseos est rect ipm ducta; quxe omnes
Lacus rectum roco lineam, iuxea quam postune ordinarim ad diame-
crum applicacae. huc, lacusrectum estmensura iurra quam comparantur
porenrix lincarum ordinarim ad diamerrum posicarum.
TT, Ponaneus que LOaLeS aIamCErO BD, OCCUIETONCES ED II L. AHBd
In ioitur quadrara ordinatim poncarum a guanu ctum lingulis rectangulis BHB
ve proposicione ondecimz huius demonstrabimus) quae deticinne a rectansus
FBHb rectansulotmili, ipti L bD.
d33HE
DEsin eremplo ericclarior: SC AB O. Ollipleos diametet B D, illiusque lacus re-
Cu ciresibae
 a a  
GDM FCDEXLenECE FB: iunctisque FD, Sumantur in diamerro puncta quavis
Aeque
  ie  e  e t e p   u  .  i     p        t  p.  e   e   b e    1