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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 841, page id 1815201908:0898
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=898
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.81
# 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.

reult.
ulli
camll.
odu
Opie
TACEH
N P L A N V M:
84L
Catem, ve lineabileeans ordinacim in illis applicacas, vera sic parabolas
cauela.
la 3
PROPOSITIO COXIY.
ECx AC, DK, aramerri circuli A BC, orthoxonalicet le le decul-
Penr: cenrrogu D, inceruallo D A, circulirs describoacur ABC, _ ex
ErECtR PONANCUE QUOLHIS AF P SIvC AF, FC, TunE eni F P ip(IS FC,
aequales, ve demonstrat Setenus l. 2. prop. 43. deinde per puncta F F, recta
Ponancar IH, aequales lincis AF sinc AFC, normales aurem ad dia-
mecrum DK, a qua Otariam secentur in 6.
Dicopuneta l ese ad pacabolam, ciius atis cAt DHE, 3. 13 
SDES BSACt.
Demonstratio.. 4 i 11. 22 VT 133C
Veantur linex FK Qonam circulus AB C habet cenerum in petimetto cit-
culi AD C, quadraTUM A F esF ad quadratuM AF, vE2 F K quadracum 2d 2 13. citcitt.
quallearum F H, Sed re FR quadracum ad quadracum E Rslic R C linca cMadlincam
KC3 quadracumisicut AF est ad quadracum A F, id est FII quadracum est ad qua-
dtaCum FIL DE KG linedestad lineam KC: puncta igitur FTTK ad b patabolam V L. paraV.
lunc: ae buis RD ad rectos decultac lineas HI, recta RD axis es patabiolXFIIK.
Duod erac demonstrandum.
P R O P OSITIO CCXV:
Nictant denuo sibC ad recrOS, diamerri AC, B D circuli AB C:
LCuiuS CCHErUM P, CCB, incervallo B A circulus describaTuE
AFO; _ ex A recla PeaHEnE AHCI, SivC AFI, FTC, sunt enimi HC
s IL CXgualess re deriotistrat Serenus l. 2. prop. 43. Deindeper puncta
000003
HI, recta