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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 50, page id 1047377675:0066
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.90
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O
ablacum circulum cuius lemidiameter PV; de proinde in eg
dem racione erie relictum crapezium CF FFI ad reliceam ara
millam circularem genicam ex reuolurione recex FP circa
axem rocationis TK, nempe inrarione OP ad circumferen-
eiam circuli, cuius Cemidiamerer L. P: acque haec proporcio
eodem modo demonstratur de omnibus rectis ductis in b2-
sCDF F C, quae (A opuS es) producae, in exem rocarionis L
K normalicer incidune; acque ex omnibus iltis rectis conAa-
cur ipta basis DC; ex omnibus erapeziis super ictis rectis de
Teripeis conAacurerunCUS RODC, d ex omnibus ormillis ab
iltarum rectarum reuolucione genicis, conAaeur (olidum ro.
cundum genicum a reuolucione Ba(eos circa axem rotatio-
nisIR; de proinde verna ancecedencium adrnam conseque.
ciumnimirum OP alcicndo cxlindri ad circumterenriam cir-
culi cuius semidiamerer PL radius nemperocationis, ica
omnes ancecedences, nimirum omnia crapezia, hoc est, cru,
CuSRGDC, ad omnes consequentes, nempe omnes armil-
las circulares, hoc est, Polidum rocundum orrum exrocario
nehgurae DC circa exem IK, quod demonstrare oporruie.
Hloc cheorema eodem modo demonstratur de erunco su-
periore, s Ecura AB concipiacur rocari cirea rectam MH.
Patet ex demonstrarione truncum RODC de Colidumro
tundum orrum ex reuolutione Ba(eOs DC circa aZeMFOTA.
tionis IK, esse quancieaces magnicudine _ gravicare analo.
Ba5, quoniam eadem proporcio quae demonstratur incer in-
cegras eodem modo demonstrarur de carum parribuspro-
porcionalibus.
In sequencibus nocandum (quando loquimur de Tuperh
cie cylindrici vel crunci) nos incellisere solam superticiem
sinc basibus; hoc est nunquam contideramus Aguras quae
sune exlindricibases, nec communem sectionem plani cy.
lindricum secanris.
2