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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 816, page id 851387705:0836
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De Calculo Centri Cravitatis.
Fie. 186. distantia Ceneri eravicatis d ra, 3 P f 24 5BR - 7 5.
24 5B R = 75
Cap.V.
45FR + 255B; d T A, 3L
45fR F F5 sB. Momentum respectu Aa, 3a 2 R + 13a 5 R2 = 3aSVR
30R3 + 52R - 8s2  R; distancia Ceneri gravitatis ab Aa a -
45 a R + 64 V R 2 - 4252 R + 14 5 =V
90a R L25OS R - 305V
C. Aciemque habentis TA; MagniendO 2f R2 = ESBR; mOmentuM re-
Spectu Ta, 2 fR3 = = sB R + 3853 R; respectu Y A, 32FR3 - 12 5B R
265 R; distancia Ceneri xravitatis, 2 r0, 23 R f 52 sh R + 405
441fR = 1055Gi d TA,
32X-
525BR F 4053
qq2sR = ZOGSB: MOMEnEuM LCSPECU A a, 3a2 R + i: a S R2 -
30R + 2s R + 3a 52 R + B sE v R; distantia Centri eravicatis ab
A∞, a - 32VR2 + 63a 2 R = 19s  R = 24 52 V
126 a R + 665 R + 3052
C. Aciemque habentis Aa; Maenicudo, 3 a2 R. L z aS R = 3 v P + 3 s. R;
momentum respectu ran 3aR  33 a5 R7 = 3 a5V R - 5 V R3 + 3E 5 p
 25 V R; respeCU FA, 3a R F iaSR = SuR3 + ,35 R + 3asV R + 3s VR;
distancia Ceneri eravicatis d ra, sR - 22V R - 30aSR -- 8s. R + L5a5V 1 7 5V
27a + 5445- 24V R f 7552 111
20R 30aSR - 8s R + 25252 + 7522
272 +54a5- 2quR f155: Momentum respectu Aa,
32C R3 = 3a V R~ - 8sVR F 3a R + 3~ SR + 3as R F B5 R; distantia Centri
eravicatis ab A
87C R - 96aVR - 952R + 36a3 f 208a 5. f60a5 + 245
3S 54a F 108a5 48V R + 305
D. Ongula portionis Semiercloidis bBr, aciem habentisra; Magnituda
Za R 2 = 25 R 2 - , EsBR; momentum relpectu 24, 38 a R3 -3Z5 R3-
3sBR2 = 853R; respectu T A, 33aR3 = 225 R3 + sB R 2 - 365R;
distantia Ceneri Graricatis a ra, 3 R -
25h
15 a R = 45 5 R - 155B
45 a A = 45 5 A = 155B: Momentum respectu A a, Z R 2 ∞.
16 p1 - 3a P f 3vR - 2aSR = G5 R + 3asVR f ,s v R; distaNLia CCHErI
praricatis ab Aa; a F
45 RD2 = 280aR P + 180a R = 5 12 R + 256VR2 = 7645 R + 5652
180RY - 360 a R - 6005 R + 1205V
Aciemque habentis T A; Magnicudo Z a R2 - 2 5 R3 = E sBR; mOmen-
EUM ReSPeCtA X∞ 25 ∞ R3 - 375 R3 f + SBR 2 - 353R; telDectu T A,
37a 3 = 325 R3 + 135 B R + 85 R; distania CenErI BTAVICaTIS d ra, 2R
525b R + 4053
525hR f 495
44ca R = 4+ EsR f 207, si d P A, 3 P F agraR = 44 usR + 1055: Momeneum
respectu Aa, 2 R 2 ∞2 = 8 p a + 3V R3 = 8a = R 2 - = a SR 2 - 13 57 2
=1 a5VR = 25 R; Distantia Ceveri gravitatis ab Aa, a +
63 R∞ 2 = 252 a RF = 256 R3 - L 128VR = = 252 a2 R - 765 R - 56524
252 RP - 504. a R - 264. 5 R - 1205V
Aciemque habentis Aa; Magnitudo, iSRZ = -3,R3 = 3VR2 -2 a 2 R -
2a5R - 25 R; momentum relpectu ra, , 3 p P - 15 R + 8uR - 3a X -
325R - 35  + 2a5uR + VR; respectu L A, Z R. P. 3 p + 30
82 R
MI.
D.
a