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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 149, page id 1815201908:0206
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=206
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.78
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

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BE OME TRTCR.
DROPOSTTIO OLITL.
Scoprogressio quadrarorum G FTIE, valibus in directum politis, t
sccminum lonsicudinis habens putccam KE.
Dico quadrarum supercota AL Lactum, ad leriem datam, proportio.
nemnade pa, exlatlohe L A ad B A, e C A ad B A.
Demonstratio.
tac enim AD ad DK, vE AB ad B C. IBicur rectangulum D AB, siuc AP,
2aequatur tettei OR. ergo quadracum AF, candem a HeM CK, X ad rC. 2129. hn
ctangulum AP habec rationem. quoniam aurem AB cit au DK, M A B al BC.
erit invertende de componendo R A ad D A, VE C A au B A. Ergo cumquadra.
cum AI ad rectatisuluim AB, rationem hiabeac bcolmpolicam exracionibus R A ad b 23. sexri.
DE, _ R A ad Da, habebie quoque quadracum AF, ad idem rectangulum,
COmPOSICam exrariOHIDUS R A ad DE, et C A ad B A: quare cumseries CR de
rectangulum AB, aquaasinE, habebir quoque quaracum AF ad seriem OR
Duoderat demonsit ahdum. pla cechoc quoque cheorema rniverlalicer demonstrare.
rationem compolicu ex rationibus RA 2d D Ls hoc est B A, _ C A ad B A
Aca sic plariorum limilium quoro Cuque progreiOFOK, Ha-
L.lV
bensbales hoe adaltectum, ee cerminum longirudinis H, da-
Dicoplanum AP K ducolamm leriem FC L habere rationem compo-
licans exrationibus A A ad B A, _ C A ad. BA.
exproorcilionis.
Demon