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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 74, page id 834940469:0158
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14
circularis, in quo circumfertur centrum aequilibrii trunee cylin-
drici inferioris in cylindrici base notarum.
IC TUPer AgurA AB C ex vna parre a recta B C terminatL
cylindricus rectus, qui sectus a plano eranteunce per
rectom BC exhibeac cruncum suum inferiorem BC AC, cuius
cenerum aequilibriiin basC BEF. Ex rotatiOnC AGUTA AB C
circa rectam B C hac portio Colidi rocundi: dico porrionis
cenerum gravitaris idem esse cum cenero gravitacis arcus
circularis in quo circumrocatur punctum L: linon line cade.
incer illa sic dictancia recta B; e concipiacur porrioni solidi
rocundi circum (cribi Colidum polredrum constans ex 2 vel
4vel 16,323 es vel quoccunque (dummodo numerus sic in
prosressione dupla a binario) ae qualibus eruncis inferioribus
cylindrici propolici recti secti a plano habence communem
incersectionem cum base rectam BC, et cidem porrioni lon
lidirocun di inscribi aliud polredrum priorisimiles ita ve co-
rum cenera pravicacis diltene inceruallo minore quam recta
B: hoc enim possibile est, quoniam calia polyedra quo plura
habentlaceras eo in infinicum porcioni (unc propiora: dein-
de per centrum xquilibrii E rectae BC normale ducatur pla-
num Faciens cum crunco communem incerlectionem erian-
eulum HFD rectangulum ad F. icem cum portione lolidiro.
tundi cemmunem incerfectionem lectorem circuliiVLO, de
cum polredro circum scripio polrgoni regularis ad secto.
rem circum scripei, icem cum polyedro inscripeo similem
porcionem polysoni regularis sectori eidem inleripri. Ma-
nitectum cst radium IV ele aequalem rectae DF. Radio 1γ
aequali rectx DE Sic sector circuliIX9e sectoriIY9 circum-
Scribacur polrgonum T58 simile polysonorMH, icem ei
dem inscribatur polygonum 279 circum scripeo simile. Du-
cacurreets IL quacuorlacera limilium polygonorum 7 73 S
l. eV. MR, bitariam secans in punctis T, R, G. L; manitellum
eAt rriangulum IL. K rectangulum ad L. esse communem (C.
etio.