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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 690, page id 1815201908:0747
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=747
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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
# 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.

SDIR AL1S
DB ad BG, hoc est perprimam Theorematis parcem ab Archimede demonstra
camve AC dd. ident. Ergo componendo FC ad CP, vi
690
AF. 2d B~.
AP PL IC A, F V R S P I. R A L. I.
d Theoremacis. Cen
Ero IL delcribaneur quot
cunque concencrici radium
AB Cccantes in punctis l, alpira
lem in pynctis C. PATCLISITUIE CX 19
Cappi l. 4. arcum FC este ad reliqui
periphetathC CF, ve AF cAadF B
lqui Pepheria EOTA FF G, rC
Sponidet  parabola rectae FC F.
cstC qui exrra spiram est re-
e
C extra parabolam polIEX, ar.
cus guoque C C F, intra lpiram ca
dens rectae C P intra parabolam.
Constac iorcur rursum similicudo.
ux erat demonstranda.
Secunctam parrem sic applicabi.
ituS. Sic ipra duarum reuolurio
nam ec dueantur peripherix con-
cena LCR lecances spiram in
punctis C. Frie igicur ducta per C
recta RML, MC ad M L, id est
BF ad BHI, ve arcus FIL ad cocam
peripheriam lecundi circuli, hoc est
ve arcus F IC ad coram periphe
riam F C. R. sed BH aequalis est
AB: FrBOBF cA ad AB vE arcUS
FIC, ad peripheriam F. CK: d in-
cundum patacx seomentum reprxlentans secundam spiram. Mapifecta
isieur eleperiulque analo eia: quam oporruir demonstrare.
FFC, suxe rore lunt extra parabolam: eteus vero F LC inter AHI e spi-
vertendo AB eAt ad B F. vr peripheria F, C. Kad arcum L. LC. Acqui peti.
phoriae FCK qua totae lunc excra primam spiram, respondene rectis
ram lecundam poli respondenc rectis F. C policis interrectam AF, e le-
211C3EB.DCBCaBa NEB,R O.
e
i
o
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