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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 18, page id 85138403X:0034
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D
CtC2eo
caCUI 9g rectae CC parallela: Pric cenerum gravicatis porcio-
nIS expolica FGEC C inrecta 97. Sed _c. (quod tamen ad
praesens negocium quaesitu non elt necellarium, ipsum enim q
punccum jam invencum nobis Cutticic,) Idem gravicacis cenrrum
est in recta Fn, (quippe quae per omnium 25 parallelos rammorum
centra cransic, ipsique rerera F. C in annulo respondet;) erso in
eorum communi puncto r.
58. Si itaque ut rectam F X in y, vel F C diametrum BasS
Cxtindri in g, ica _ F. C arem annuli dividamus in 8, (quod
Temiannuli CeNTPUM GTAVIEAEIS eNeT dCMPEA CUTVATUCA:) ip CaI-
que Fg = E D dividauS ITCTUM (PFOPTOF CUEVATTaM) in 63,
ita ve lit F Cs ad F8, uc circuli diameter ad lemicircumferen-
tiam; erit C cenerum gravicaris semiannuli ex semiconvertione
circuli F C circa A F rectam. Habetur itaque (quod 5. 45.
suxponitur) semiannuli centrum gravieatis C. (nempe, uc Z P dd
D, sIC F 3 = 5 D ad =
5D2
4
C
D = F G.) FF CONSEQVENEeT, PrOPEeK
(6~ eric
7 D2
R2
5∞ 3 vel -  = F AA8. 1. di-
Rancia centri gravicaris solidi (Pemiconvertione semieycloigie
CIFCA A F Facti) ab A F.
59. UE aurem habeatur P, cenerum grarieatis remiannuli ex
simili semiconvertione Pemicirculi, Pumenda adhue exit, a pon
cto C jam proxime invento, recta GF (bali varallela) quae
canca CIC quanca distancia ceneri gravicatis semicirculi FC d cir-
culi CeHErO; quae nempe BE ad Z F C (sire Z cadii) ucF C ad
F A, SIVCUE D ad Z P.
60. Ouod aurem 5. 57. probandum susceximus, Nempe omnes
cubos rectarun Z Z ad coridem cubos C F, eNe ut 3 ad 321;
sic oltenditur ex nostrae Infinitorum Srichmeticae principiis. Si
ponamus diamerrum PC == D in parces aequales numero infini-
eas dividi in punccis Y3 CrUnE OIHeS F Y = a series intinica,
Primanorum, sire Rrichmericae proxortionalium, quorum maxi-
mum est D; quae in YC = D = a respectire ductae, dane RC-
Sidua a D = a = omnia rectanoula F C Y, hoc est omnia Ouadea-
ed X2; quae ad toridem D = sunC F ad 6: Rehduorum vero
Quadeata, hoc est rectarum Y2 Biguadraca, ad coridem D +, VE P
ad 30; Residuorum cubi, hoc est rectarum Y2 Porestates sextae, 1d
cocidem