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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1032, page id 1815201908:1089
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.82
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1032
YN AVLA PAKADOLHCA.
milicer leomentum cxlindricum Cuper bsis
22L L3 a alehaC P, B bilectum escpla.
10: AL B
ICuT 2G
ca parabolica ANP, H P.
ualta SnE Sesmen.
xqualia quo.
que lune leomenea cxlindrica communis al.
cicudinisillis legneneis parabolicis inlicten-
tias vnde pars AC BF, a qualis est parrI
BFCFI, ac bi
FTCS L
BB, F BFC
coriseomenco F BIL C aequales TUINE. Oua-
re cum scomerarngularia AM BP. F. BL C:
quae vna cum preamide ongulam consti-
Ellclctei ttetc tecia tibt an titt
magnicudinibus, qua clauduneur planis
AGB, AM B; BF C, BI C. (Tunc enim illX
Platto AB, C LB, ab rnscid relectae) 
legmencis undalatous ati
Ceomento B BHIC, addacur communis pr
ramis AL
3
c8
E alla FAtBe
F BE C vna cum preamide, (hnc estTorL
vngula) superabunc segmencum P. B HIC,
vna cum prramide, magnieudinibus, que lu-
perticiebus comprehen Le
e Ctb, C L. B. Cuol clac batat
dum.
EROPOSITLO LCVII
Noula AB C D ab cylindro parabolico recro abscisxe, basIS SIE Pa
rabola ABD, cuius axis B F _ ordinarim polita AD, diuiso axc
CUTFBC, SR)
FB in C, VeBC Sic quarta pars BP, per Cponatur lK ordinacim ad axem;
e secundum lincas BF, ciu lg. parallelam IL 5, ex cerriam BD plana a5an-
olita deinde diagonali CD OCCUEreHEC COM-
muni incersectioni TO planorum
DBC, SHL in O, CrIOATUFRECTA
OM quae aequidistce TIE, _ pet
DC, OMI seccio hat, exhibebic illa
DMC parabolam. Fandem per
IE I plaHUIM, PONAEUE FCCEX BC X-
quidistans, OccurrenS A C D secciO-
Mi SECUINdUIM FCCEBM PN, AGAEUE-
queP ON planum quod xquidistee
ba(ABD.
Dicornoulam POCNaequalem
CNemagnicudini concenea paraboli.
Cis planISDMC, DNC.
Demonstratio.
Voniam FB divita est in G. BE CF
situr A P dupla est rccts LC; nam racie
quarca parriiphus FB aequalis exictat,
FB24
9t