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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 62, page id 834940469:0146
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=146
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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 0.92
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62
eius cylindrici super ABC ad eorum cylindricum super FIIL.,
e exratione corius cylindrici superHIL ad eruncum sui in-
Feriorem: Sed eruncus inferior estindrici (uper AB C est ad
tocum cylindricum, ve FD ad rocationis radium Agure ABC
ex consectario huius 29 converrendo, e cylindricus super
ABC eA ad cylindricum superHIIL ve Agura ABC ad Cipu-
ram IIIL, icem exlindricus super HIIL. cA ad eruncum luum
inferiorem veradiusroracionis AgureHIL adKH, exconle-
ctario huias 29; et proinde ratio crunci inferioris cxlindrici
(upeF ABC ad cruncum inferiorem cylindrici suPeF FTIL CO.
ponitur exratione rectae D Iad rocacionis radium AgurX A
BC, ex ratione AguEX A BC, ad AguramFII L, e ex rarione
radiirorationis Agurae TIIL ad rectam RN: e ideoratio (0-
lidiorei ex rocatione Apura ABC ad COlIdUM OTEUM CZFO.
catione Agurx HI IL. componieur, ex racione Agurae ABC ad
Rguram IIIL, ex ratione rectae DI ad radium rotationis A-
Sura ABC, exratione radiirorationis Agura ABC ad radiu
rocationistigurae HIIL, e ex racione radiirorationis Agura
AIIL ad rectam RN: sed eres postremae raciones componune
racionem DF adK N; _ igicurratio Colidi orei ex rocatione
Fgurae ABC circa FC ad solidum ortum exrotatione figura
FIIL Circa MO componitur ex ratione Aigura ABC ad hou-
ram FIL, d ex racione incercepcae inter cenerum gravieacis
figura AB C e eius azem rotacionis; nEmPCDF, ad inter
ceptam incer cenerum graviraris Aisurae HIL e eiuldem
axem rocationisnempe KN, quod demonstrare oporruit.
P ROP. 32. Y H F O R F M A.
Eisdem positis, quae in antecedente; ratio, superficiei onius solidi
orri ex tali rotatione ad superficiem alterius solidi ex eadem se-
niti, componitur ex ratione directa perimetrorum ficurarum e
ex ratione directa interceptarum inter centra granitatis perime
prorum es axesrovationis.
F