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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 832, page id 1815201908:0889
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=889
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000889.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.90
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

DVCTVS PL ANL
A P P V TC A FIO.
FC invicem mulcipicales, aguateehe Toltals que rclulrane ex planis
AF, F. D in Semucuo ductis, rna cum BD mulciplicanECDC.
lLoset
Duadrace simaprima eiusdem libri septimi P appi Alexandrinii.
Ticrectalinea AB, in qua sumantur eria puncta C, D, F, ita verectan.
gulum AD C sic aquale rectan gulo BD L: _ veri(quE AF C B X qua-
lis ponatur recta lineaF.
Dico rectangulurs quidem F A D rectanoulo B A F xquale esse: re-
ctangulum aurem FC D aquale rectangulo BC F: rectangulum vero
FBDrcctangulo ABC, e rectangulum P P. D rcetansulo AL. C. ae quale.
AP e L IC A FIO
Anenceitaque rectansulo AD d circulis AB, C D, linCA F F. F po.
Inacur extra circulum CD.
Dico rurtus Colidam magnicudinem quam exhribene Luperticies BF,
Ectangulo AD inlerrbatur parabola D C, ad cuiuS AACIHLCLA DD
Csic ordinatim polica, alsumacur deinde circulus BB, cuius aliquem
AECUM RK id cA E P subrendat DD recta; erune igitur recrangulis
TID C aegualia reccangula FD B.
Dico ex menre proxolirionis rniversalis, sequentes aquariones con.
ringere.
Primo corpus ex basi AD in alticudinem F, hoc estin plana AC, CB
ducca relultans, a quari magnicudini ex plano B A mulciplicAnEC A F:
Secundo solidum ex bali C D, & alticudine F, hoc est planis AE, C B,
aequari Colidum ex BC, C. F. planis se mucuo mulciplicaneibus.
Terrio magnitudinem orram ex basi BD in alcicudinem F, hoc est in
plana AF, CB, aqualem esle Polido quod consatur ex ductu muruosu-
petkcierum AB _ BC.
Ferrio