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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 722, page id 1815201908:0779
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.84
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DVOTVS PL A NB
F
r
Scholion.
Ora: id quod producitur per A B, ductum in C D.
sunt dua partes cylindri inter se aequales sicut con-
tincit inscemate HIFI circuli ducti in K K circulumz
nam FII. sant parallela LM. ereo sunt in cylindri
supersicie edaem modo XL. cum sine parallelae N I
sunt similire  superficie cylindrica. onde cum hic sint
duo cylindr aquales habentes bases ex altirudines ve
P sunt NOL. L, habens basim HIFI, C OMKI. ha-
bens basi LK, sinique altirudines NO, OM, hoc
est NI, IMnter se aequales, manifestum est produet
hiceglinataam corpus aequale cylindro qui habet balim
RK, es adicudinem IM, quod in idem recidit cum
upadictum est aequale corpori quod produci-
cur ex duct baseos AB, in alticudinem F. C. quare
patet FLL, perficiem esse cylindricam, vii eriam est
KL, quod proposirio asserebat. Deinde quod LL. sit
psis, indepatet quod RS linea sint aequales SIC
ineae TIL sint aquales I. R, vnde N K IadNR I,
rectangulum est ut OSI rectanculum ad OBI re-
at hoc  vt quadrarum RHI ad R HI; vel
PROPOS
SL ad SL quadratum.
Irculum ABC. Icccticcta quacs eL non pelcenttum aucta.
Dico AI ductum in IB superticiem producere cylindrcam, d
communem incersectionem Forc elliplim.
(TIOLXIII.
Ooonslatio.
Vcacur per centrum recta HI Ci paralIcla CL: AK ductum in RB xquale
tisccun.  eA AF AdA0 in LB ex TK, ducto in CC, VEFALEE Cx 2elementis. Ced A K du-
26. buiu ucum in R B. Lapeuees Pruuen esteas larum communis incersectio cl
elliprica; isicur _ Al ducrum, in LB,  PdeS AR ducci in KB) superti.
CledPdadet Cstutaad anc a it Chltricu ldutura
56b0 ub.3.
Monat  et