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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 886, page id 851387705:0906
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f18. 199. PNF vertus F
De Calculo Centri Ceravitatis. C ap. V.
2 a2R
i Focest, (propter lienum =, prevalens; cs
urique, hoc casu, a2 semper plus quam 6 R 2; non porest enim a in fine circulacio.
nis, minor eltè quam Z;) diltantix a P MF vertis C, = 2 2 R  = 2 a 2 X
quibus omnibus, exponetur a in tine Circulationis Prinme, per X; intine secunda,
Per 2P; Terria, per 3P; et lic deinceps.
Pro Circulationibus Dimidiis, quae incegram Circulationem non cerminant;
(puran pro una, cribus, quinque, eC.) propter s=O, _E V = 2 R; CTUNE MaBMI-
rudines (uE prius) ∞ 2; MOmentA reSpECtU PMF = Ca R + a
PME VerTISF,  (2 R+ F 2a2 R
3
. In quibus exponetur a, in fine Semieir.
culationis prima, Per LP; TerFIX, per 3 D; quinIX, per 3X; et Sic deinceps. A.
deoquelignum F, in hoc calu, semper praeralet: proprer Ouadratum, Semiperi-
etie
Pro Circulationibus Ouadrantalibus, qux Semicirculationem non terminant,
(puta, pro prima, terria, quinta, _c.) PFOPTer cum S= R, proprima, quinta, no-
na, _c. Seds= - R, procerria, Seprima, undecima, ecc. tum v = R in omni-
bus: magnicudiues crune (uc pcillo) S. iMOmentA respeCtuPME, =  = 3a R
=2 R. + == Pa; distantIA A PHIE, vertus F, == 12 R, + Ba= R; nempe
pro prima, quinta, nona, ecc.. In quibus exponetur a, in tine Ouadrantis primis
Per =D; quinci, per ZP; noni PerZP; et lic deinceps. Fc Signum F, Praeva-
lec: Propter quadrarum Arcus Quadrantalis, majus quam Duo quadrata Racii. Sed,
pro tertia, seprima, undecima, etc. (proprer scontrario lieno exponendum,
seu s = = R,) Momenca erunc. + 6 Xo - 3 a 2 P
F+2R3 -6a 2R
3
2X7-
∞3 R; Dictancia,
; adeoque (PrOPIeT a, interprecandum Bes, 3 P, 3 P, 3 P, C.)
signum = praeralebit; cruntque tum Momenta, cum Distantia, versus C.
Sin libeac singulos quadrantes Peortum perpendere, (non, ue hactenus, incho.
audo à princixio, omniaque cories reperendo quories iveraco deseribunur;) illud
lic tier.
DePrimo quadrante, M F F. MI, jam ostensum est, magnicudinem cAc  ∞ 2, hoc
est (PrOPIeT a = 4 2,)  _s R P; MOmentTUM Respectu PMF,
32R + Rrp
26P; distancia centri pravicaris d PMF vertuSF,
=768_3 + 24 _ ∞
2 R 5 = a2 Ra
124 +6a 
Magnicudo Primae Semicirculationis, NP L. F. MI, eA = i HOC C (PrOpter  P, d
s AP: Momentum respectu PMIE.
versus F, . 48 nt 2 P. p.
6a  F a R - 24 R3  R2 D2
248.i diltantia
Ex hujus itaque Momento, si subducatur Momencum primi quadrantis,
32 R5 = R+ ∞
2623
spectu PMF.
i Habetur Onadraniis secundi M E. FM, Momentum re-
96 N = ab ex- 9 P. p. + 2 p. P
i Adeoque propter mS
nicudinem
88C