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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 77, page id 834940469:0161
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toeandum in Pequenribus nos semper incelligere suner
siciem portionis Colidirocundi absque planis quibus cermi
PROP. 40. ZHIFORF. M A.
Fisdem posiris quae in antecedente, erit superficiei portionis solidiro-
tundicentrum sravitatis idem cum centro cranitatis arcus cir
cularis, in quo circums ercur cenerum aequilibris superficieitrun
ei cylindrici inferioris in cylindricibase notatum.
IIdem politis que in ancecedenre, sic superhciei trunci
BCAC centrum equilibrii in basc F. Dico superticiei
portionis Colidi rocundi cenerum: gravicaris idem esse cum
Cenero gravitaris arcus circularis in quO CIECUMEOEAEE PIE
ccum P: si non sinc eadem, incer illa sic differencia recca B; ec
concipiaeur porcioni Colidirocundi circum (cribi Colidum po.
tredrum con(cans Cx 2, 4, 8, 16 vel quoccunque (dummodo
numerus (c in prosrectione dupla a binario) equalibuseru
eis inferioribus cxlindrici propohrirecti lecri a plano habe.
ee communem secrionem cum bale recram BC, de eidem
Porrioni Colidirocundi inseribi aliud polredrum priori simi-
de, ita re cenera gravicatis eorum superticierum dilcene mi-
nore inceruallo quam B; hoc enim ponbile eles quoniam ca-
lia polredra quo plura habene lacera eo in infinicum eorum
superhciesminus incer se discrepane, ica ve eorum ditterens
eia minor potsir esse quacunque propolica quoncieace. Dein-
de per cenerum equilibrii Erecce BC normale ducacurpla.
num Faciens cum trunco ABC. C communem seceionem eria
pulum FIF D receangulum ad Chicem cum porcione Colidiro-
cundi comunem lectione, Peccore cireuliIVL.d de cum polye
dro circum (eripro porrione polygoni resularis ad fecrorem
circum feripri, icem cum polredro inscripeo similem portio-
nem polygoniresularis lectori eidem inscripri. Manifectum
eAtradium IV esse aqualem rectx D Fi radioly aequali rect E
2
AaEUE.