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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 830, page id 1815201908:0887
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=887
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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 0.91
# 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.

IVCTVS PL AN
PLICAF1C
TFmicirculos A A, B B concingane parallele FF, OHI; d C C dividae
Dbitariam rectas AB parallelas ad E. F, de ponatur DD diameter lemi-
circuli BB.
10. huinc. Dico ex vi propolicionis nostre avniversalis, duas solidas magnieudi
nes Factas ex mulciplicarione superticierum AD, D B in lciplas duplas el.
lemagnicudinum Colidarum qux oriuncur ex ductu planorum AC, C D
in scipla.
DROPOSTTIO CIII
LFederico Commandino adiune us sequentem propositionem.
APPLTCAFTC
Clrectalinea in parces inaquales sccetur: carum parrium quadraca x
qualia sunc rectansulo quod bis dictis parribus concinetur rna cum
quadraro eius lineae qua maior pars (uperAc MInOTCM.
Ulteuo AB Malcribacur rectangulum
Dicololidasmagnicudines, quae resul
tanc ex ductu luperficierum AC, BC in
Plas, ae quari magnicudinibus qua pro-
Feruntur ex muliplicacione planorum
C in C B bestumPCa, una cum parallele-
Pipedo quod he ex mulciplicatione C V
Parallelogrammi i sciplum. Ducaneur
enim quorcurtde AC DB parallelE; PaTCE
cangulis AC Bbis lumpeis una cum quadraris CD iurca Commandi-
b40 huim. E2t pcOpOL. lam allalal. VAdc Pet Varderlaleth noAra patet propoliru.
Quia
AC xquales este DD, adeog. C D ditferen-
eias esse parcium AC, C B; semperisieur quadraca AC, C. B equanturre.