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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 488, page id 1815201908:0545
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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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# After the first blank line: the recognised lines in reading order, one per line.

A R A BOL A.
vecunque divisa in l _e ordinatim posita TII. OpOKFCE F FTC parabolam
icerum druidere sicue ABC parabola diuisa est.
Constructio es demonstratio.
01
188
laEvE AD aet A F. siC F L ad F R, _ ex K ordinarim ponatur R G: dicofactu
ese quod pectur. Ouoniam estve HIL, ad AD, SICF R ad F I, eric _ C R ad FIL
Vc BF. adCD. sed B A F parabola al pacabolam C A D a in criplicara est rario-
helinex BF. dd C D, _ GF R par ao ad parabolam FP FI in criplicaca rarione
CK ad FlL Voitur vEpaEaBOIA B AF, ad C AD, parabolam, SC CF R est ad pa.
rabolam FIFL. Pertechus lele quod tuir postulatum.
rS.
113C
BadLA A PROPOSITIO CCLXXZV. nlo
TIc ad AB C parabolxe diamerrum AD, ordinacim polica DC: diui-
DCag: AD in E, VE E D dupla (IE AF, ponatur ex F. ordinacim E B,
_ ex B, demictatur diameter BFs occurrensrectae DC in F. 4 1
Dicoparallelogrammum D F BF aximum esse illorum, quae in an-
sulo F. B F, parabola ABC D cerminata inscribipoltunest nunil AC
cssocit osib.
115sCtsloder
uinq des Demonstratio. Il be cutunitore
LBC eD Et Scst C
1. 1115 178 Lce C
Necribacur enim quodeunque parallelogram
mum LC FI habens ansulum TOFI aqualem
angulo F BF: a8Acurque per B ContinGenS L R,
OCCUErENS AD diamerro in L, X DC linex in
K rectae vero HIO in M; ex quo recta pOna-
cur MIDY aquidistans GT. Ouoniam B L CR COn-
cingens, ex I B ordinarim polita, FeCtXL A, AF
Baquales (UnE; adcoque EOca V F agualis est
F, D quae dupla POnitur AF: vnde L R in B quo-
que bitariam est diuila: parallelogrammum igi-
tur DB maius cs. parallelogrammo DM: led
Paralleloorammum DM maius cA parallelo-
Grammo DO: quid punctum M cadic extra pa-
idem demonctratur de quouis alio; parallelogrammumisitur DB maximum est eo-
rum que AB C parabola cerminare in ansulo P. B F, inscribi poslunt. Ouod erat de-
monstrandum.
il
09 0dis R. R O.
242. h1.
115.
rabolam; parallelogrammumigirur D B, mulromaius cst parallelooramno DC:
EI   t SIES S
esi
ous ostetus  sepe tte s at  es oot s se te  u  e ut t t   e  pu s a  es