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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 976, page id 1815201908:1033
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.79
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7
V N GV LA CYLINDRLCK.
De Inuoluero onculari ejusque ad cubum vel paraeleppedum tu
ctione Co cujusuisems partis qua plano ad axem cylindri aquidistan-
Teaussstustorinullis inibolubi prosaration.
PROPOSITIO XXVI.
continentes, ex iuncla aeaea pora  ccuu
E
2
timicirculum contingant reca B, AC. rectum angulum
Tolidunt prondecte, suot i alsuate aza qua oritur ex ductu
mistilinei DL BH in Aguram F. DBHI.
DE, quem tIDO contingat parallela ad AC
Dico planum mistilinca LLLDEL aUCLLIM IH LLDOFB,
et e B 21
Lomonsotorio.
AB. DucI. C) Scensum est a Paa OIII ex auicu crianguli D HB in SC, LGua Cp
quodtiret et BBBFB, Vel CxDLBH in EDHB. Isitur xslalta
sunccorpora incer le quae certium habCF CUI RQUanEuT. Ouod erac demonttranauM.
PROPOSITIO XXVII.
mixcilineum AC FB ad Colidum quod resuleat ex ductu mixcilinei lFIB.
in FTO FB mixcilineum eriplicaram habere rationem linee AB ad HIB.
Demonstratio.
Hdem politis:
Dico Cohidam magnicudinem quae Ec ex ductu mixcilinei AC IB in
AiOvacur Benim magnicudo ex plano A CFB in superticiem AC FB ducta cor
b Lbca.
CB. DV
12s.
necciam lolidum quod tic ex plano DL. BHl in planum HlDH B, aequatur prra-
midi quae Ec ex ductu crianguli DEIB in Sc: Sed prramis naca ex ACB crian-
sulo in sciplum ducto ad prramidem Factam ex criangulo FTDB in sciplum
ducto criplicatam rarionem habet eius c. quam habet linea AB ad HB. LgicuE
eriam
poriprramidali, quod emersit ex ductu erianguli AB C in Scipsum; pariratio.