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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 890, page id 851387705:0910
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DeCalculo Centri Cravitatis. Cap. V.
Fis. 199, ito rpro Co. finu anguli vel arcus an ae Radium R;) adeoque momeniq respectu
200
F. MC,
28
x2
137
a3 ∞ R
: vet (neglecto Y, ob cantam aliquories di-
3P13.131.
cam,) - p: Erit (proptee Omn. a 3 _, = 8 vR a + 3 a R. =6 as R -
3aE V R= F a3s. R, ) Momentum Spiralis M YT. D MI, respeCtA RCCtR L MC, Omn.
a3X es II 60R3 L 2~ F = 6a5R  Z~V R  a25 p2. 1 1
3 aot et vrntier 3  nia or  cherist 
rc
Adeoque, (proprex magnicudinem, jam auce traditam, .p, 5. Distantia Ceniri
21
22V R2. f6a  - +2aSRD -= 6a v R + 2a2sR XE quidem vet
a3 1te Ot siit.
ad partes P, vel ad partes F, (sire omeneum seu ponderationem Spectemns, Sire
dictanciam Centri eraficacio;) prouc vel sienum +, rel sisputa praesaluerit.
Er quidem, pro inecelis quodibei circulationiblis abscturis, Momenia erunt
124 
∞3 (exeteris cranescentibus, PTOPIEETuM S = 0, tum v = O;) adeoque (pPrOp
f E1Veris ECTCCLCIE ~iI_ DisclC CS CC) FBM.II. S
sex magnicuaines  f::) Dillantia Generi gravicaris, ab F. M C, vertils P,
a 4
Vi exponendus et, a ip tine Circulacionis primae, per P; secuncae, per 2P i, ter-
CIa, Per 3F; _c
Pro dimidiais Cjeculationibiis, quae incextds non rermnane, una, ribus, quineuem
_ec.) prOPer s.=O, e p -= 2 A; Momencasime  R - 3 a  q. R - a 3 p
33
8
Cpropter Magnicudine s, UI, PriuS, ∞ 23) Distantia Ceneri, pravicaris ab. L. ABC,
Ott 1.t 124 R3 6a 2 p3
vexsus P, t s a i Hoc est revera (proprer praralentiam sieni,  1) ver
sie F = 24 X3 F 6aE  3. il L. Mohi sos llo ouit: aeltione sit . +B cit D. L. X B.
ad o sC Exponendus, ulique est anin fine demicirculationis
Primx, per L P; Tertia, per 3~; Ouinca, per SP; ee He deincepo: ade
in omnibus plus erit quam q R=B eltenim, ZF pluS quam Z  I Il133I3S, 
Pro circulationibus quadrantalibus (qua Semicirculationes non cermitant) una,
iribus, quinque, ec. proprer cum se R in prima, quinta, nona _c. de 5 = L R.
in tertia, seprima, undesima; ec. cum v = R, in singulis: Momenta, TunE
6,25. = 6a Re 4 ai 
383
  (Propcet maxhicudines, ut prius, ) Dillancia Ccnrri
caticario ab PM E, vertus P, 23. P. = 12 a P. t 2 a P nempe pro prima,
SGCBEOEI
aid ene ea 3F
quinra, nona, esc. sed, pro terria, Senrima, undecima, _x. (.Propter s contra.
bR + 6. a R.
rio Tixno exponendum, J. Momeniea i
2. R. + 12 a R2 = Za A
-vd3880
P; DIamIX, ver.
versus (F,  1Z B = 13  AB + Z P    xsponelus aucem est a, in prima,
A1SLBE (FSILI cT B.AI5)  nimue
certia, quinta, eec. per +P, 3 P, 8∞, 80.) sit. 1. iwviolur 0nol 1
Si libeat singulos Circulationum Ouadrantes scortum perpendere, id facile
FIet.
sec nis C Oacraneis Primi AL P P. M, monitiuum respectu P. MC, jam ollenitum est
Cps -ale t e f--30q e m 96 e . t.  9
192. P
ritatis
8c