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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 817, page id 851387705:0837
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O
PFOD. XXI. De Calculo Centri Cravitatis.
F7
-3a  = 1 a5t - , 3 s R. - ha5VR - , 2 v R; dlictamia CCntri Era vitatiS a FiB. 166.
+a, 3 - 292R. - 962 R + 240a 5 k + 64 5 R = 120 a5V- 5651y
5422 - 384 R = 216 a = 432a 5, + 192vR - 1205
lA,
colc. 21t
3R. f 292 R. = 96v R2 + 240as R + 64 57 R = 120 4 5V - 56. 5 7 011. Ys9 -
54 P2 - 38 + R = = 2164 2 = 43245 f F92VR = 7205 2
mentum respectu Aa, is R P3 = ab R3P = 32 C R3 + 3aV R + 55VR2
2a3 R = 3a 2sR 845E P = 58s R; distantia Centri stavitaris ab A4,
0P3 - +05R P = 1740R] + 292aV( + 1650 R = 72a = 21645 = 12045 - 2853
2.7- 192. (7 F96vA 108a 22645-6057
N.
Ongulae Fraverii bea V, aciem habentisra; Magnitudo, , ab. F 5 5 H; F.
momentum respectura, 3ah + Lsb; respectu T A, ap= P + 3 5H K
= 3a b3 = = sB.; dictantia Centri GravitaLiS a F a,
2R-
12 + 3.
4a F 35
8a +
id ea
b: Momentum respectu A0, 1aeB2 f sast f sseh; dictanria C en- R.
eri gravitatis ab A 0, ; a f 425 f. 35
22 a + 85 73a. + 35. f
 et
Acienque habentis F A; Magnicudo; 2 aB R F 5B R = 2 aB 1IBE5 B 2l. F.
momentum respectu ra ahR = 3sB R = Z a B = = sB; respeCtUTA.
4ab R2 + 2sB R2 = 2 ah R = 3sh R + 5ah3 + 5h3; dittantia Ceneri
B
25BR  FB2
13BA - 6. t a R + 12 5 Re = 6aB = 4 5 B; d F A,, 2 R -
24 a R + 125 P = 6 aB = 4 5: Momentum respectu A∞, sabR K.
F 35BR a h-hast - 5sh; dictantia Centri sravitatis ab Aa ta +
252R = f5B
25  98 a R = 24 5 R = 22 a B - 85B
es
Aciemque habentis Aa; Masnieudo, 2f ah F Es2 B; MOmentum re-
Spectu ran 102B + 3a5h + 55 2 h2; respectu TA, faB R + ss BR ta B
=Jaot -ss. H; distancia Ceneri pravicatis a ren : B. f 2 a sh + s b
2R - +B -
2 a s B + s? B
125 a = 4 52, id TA,
12Sa t +s: Momencum resrectu Aa, 5 a. B + ; a 5B. F
as b F i. s b; distancia Cencri gravicaris ab A, + +64e 5. + 4as + 5
65a + 25
Ongula Segmenti Semiereloidis bV A, aciem habentis P A; MTonie
do, = = e R + a v R F 3 52 R = 5a5 - 55; momentum respectu I A,
= C R3 + 3 a0 R = 852R  - 3 a52 R - 38 5 R = 5 a 52 V - + 53V; rC(DC-
Au ra, = 2eR3 + 3av R 2 + 85VR= = 5 a 52 R = 165 R + 3 a 52 V + ; 52v;
resrectu bV, ZCR3 + 3aV R = + 35VR -- 5 aS R = 3 S R - a5V-  s V;
distantia Centri eravicatis a TA, 5R +-
dFa, ZR -
(= 8R = B)
6fVR- 3(5R - 4252 V - 35V
65VR = - 3552R = 4452 v - 253=
3C R = 12aV R + 95u R = 6a5 = 453i abV, v - 3 X
R.
F
esoR - 35s R(= 3 f22 ) = 4a5 v - 3 5. v: HOMeH R
30R = 12a0 R + 950R = 64 52- 45
Tum respectu A a, - 522R2 + 2a5 R = + 252R2 - 4 ~ R3 + Za = V R +
245VR = 18S2 V R = , a2 53 = 3 a s = 6s; distancia Ceneri gravitatis ab
L. IIIV