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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)
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De Calculo Centri Cravitatis.
Cap. V.
Eis. 177. que magnicudinem 5 P= (sD, F. inventam) diritum; exhibet hujus distantiam
cencri gravicatis ab Ae ZP =35 R. Or modo dictum est.
Similiter; Cum quae portionem Ab spectant, sinc Omn.
1C=
2R
ac
3X = 3R2.+
∞: = 1: R - 1 3 X R. - 3 . 7. t   psi Cut mode
octensum est:) Frunt Omn. 2  c2: -
R
ac
3t
= 2 R3 + 3 X R= + 362 X +
2 X - 30ac R = 1 28 R +64X R f BC X R. + 95X. Quod inque est
DX
d0R
Momencum Ongulae AB, aciem habentis F A, respectu Ra; vel etiam (ob alii-
cudinum ec distantiarum reciprocationem) aciem habencis A an Momentum relpe.
etu T A.
TIoc itaque Momentum; per Ingulx AB, aciem tabentis Y A, magnitudinem
3C2 (5D, P. inrencam) divilum; exhiber ejusdem ab A a distantiam cencri graricatis
ac2 32R, 16X N, 2CX
363X
2VR 15C~ 250V 150 ZOVR; Vel (PrOPteT 2 V R = 02,) a-
32R, 16XP.
267 p 3CX: HOC Cs, 3Dac R - 128 X +647 P. H 80 x N + geex
25CV F5CV τ5V 2OL
6OcVR = = 30C R
Tdemque Momentum, Der Ingula AB, aciem habentis Aa, magnitudinem,
24c - 3 R2 + 4X R = 3BX = 2ac - 15 R2 + 5X R + 3 vX (6C. invencam)
divitum; extibet hujus distantiam ceneri gravicaris d F A,
30403 R = 128R3 = 64 X R + = 8C2 X R + 9c a Y
180aC R = = 480 R 2 + 240X R3 = (60VX R =) 3OC2 XR.
Adeogue d = a, 360ac  - 30ac R - 832. R + 426XR + 525xX- B ex
IBOnCR = 480R3 + 2407 R3 = 3002 2 R
a bV (subducendo ex A V = 2 ejusdem a F A distanciam,)
280acVR - 48OVR2 + 242X R = 30~2X R - 30aC R + 12BN,-64XR - 8C.X R
9647
280aCA -= 480  + 240xB + 30C X B,
vel (Propter 20 R = 0
SOac R 240C R f +L2C7 N f6027 647R L X28X
180acR - 480R. + 240XR = 3Or2 X R
Et conseguenter, ejuldem momentum respectu ram (magnicudine in dictanciam
ducta) erie 3 SBaC.  - 30ac R = 832 R + q26 N + 528 X  = 90t. Ouoderi
90R
an (proprer alticudinum et distantiarum reciprocationem) est momentum Ungu-
atis ra respectu Aa: Adeoque (momentum illud per hujus
magnicudinem diridendo; hoc est, per 45 R = ZC 2, ut SD, P. ostenditur,) hujus
distantia ceneri graricatis ab A eu est
360aC. R = 30 ac) _ - 832 R + 426X R 2 + 5202 X R = 96X
360CR3 = (60cVR2 =) 30c3 R.
Similicee, ejuldem Ongulae A b aciem habenris Aa, momentum respectu BY,
(magnicudine in distanciam ducta) erit
60ac: R = 2405: R. + L12C27 R + 6c1x = 64X R + 128R. Ouod i.
d0R3.
que (propter alcicudinum ec distantiarum reciproeationem) est etiam Momentum
Ingulae Ab aciem habentis bV, respectu Aa. Adeoque (per magnicudinem
AC~, SD, F. inventam, dividendo;) eric hujus distancia centri gravitacis ab A a,
60 ac R - 2400 R + 112c. x P. + 60 2x - 64 x _ + 128 .
120CVR60c3R.
upercll