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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 796, page id 851387705:0816
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De Calcuto Centri Cravitatis. Cap. V.
Dictancia Centri pravicaris ab A en 6X. + 96 X=
2-
8 R2
8R2∞
3P2 + 48R:
3P2 F 48 .: ejusquem respectu Y2, momentum,  R P3 + R. P.
Aciemque habentis. A a, Distamcia Ceneri pravicatis d F 23 6~, = 96 p.
-82-
8 R2 P
3 D2 - 48 R2i ab A4, 34-
momentum,  R∞ 3 = R34
8R2∞
3~2 = 48 p2i hujusque, respectu A a,
Si aurem ex Ongularum parollelogrammi A R Ba momentis, auteraneur respe-
Etira momenta Ongularum A bBa; habencur Ongularum ABK momenta re.
spectira.
EC aurem Ongulae AK Ba aciem habentis KB, vel A a, (uEpote PriIMatS, OP-
policarum batium criangularium,) magnicudo, Z a X 2 R = a R; ejusque ab acic
Tua Diltancia Ceneri gravitatis, 3a; d cermino oppotito, 3 a. Adeoque Aciem ha-
beneis bB momentum respectu Aa, vel aciem habentis Aa momencum respectu
bB, elt = a R: Aciemque habentis bB momentum respectis iplius hB; aciemve ha
bentis Aa, respectu iptius Aa, momentum 3 a R.
Ex His itaque; s Subducantur respectira Ongularum A BBa momenta, S R.
cradica: Relinquuneur Ongularum Ab HE momenta respectira.
Nempe; Ongula AbK aciem habentis BbK; momencum respectu Aa; aciem
ve habeneis Aa momentum respectu BBK; 2 e R3 = a ~ R2 F Ea R. Adeoque
(proprer illius magnicudinem, Z a R = v R2; bujus L a R - a 5 R. F V R?; Per
S FI. prop. 27.) Aciem habencis BbK, Distancia Ceuri sravicatis ab f. a,
T2 C R2 = 6 a V R  a
3a = 6vRi adeoque d BbK, = 22C AE. + 2 a
Aa, Distancia Ceneri graritatis à BbR
A
=T2 C R = = 72 av R + 2 a = 6a 5
3a - 6. a5 + 6VR
3a = 60 i Aciemque liabencis
2CR2 = 6a VR f a
3a  6a5 +6v R
 adeoque ab
Aciemque habentis BBK, momencum respectu BbK, = 2C R3 f Z a R; A-
ciemque habentis Aa momencum respectu Aa = 2 C R3 + 2aV R 2 F 5 A3 R
a SR
Ouaeque de Ongulis AbK dicta sunt; cadem Ongulis =bB, accommodantur,
TubItICEIS a PrO a B PrO V; _ YY, PrO Aa. Ouippe similiter adjacet rectis rI,
rau iptum rbB; acque ipsum A bR, rectis Aa, A P. c
De. Unoule rBB, aciem habeneis Bb KE, momentum respectu Fx: aciem-
ve habencis Tx momentum respectu BBR; 2 a R3 25 A3 aB R= ( Z a R =
Aciem habentis BB R momentum respectu BBH, = 2 a R3 f 2s R3 L = a R: A-
ciemque habentis Fr respectu iptius Fr, = 2 a R3  25 R3 + 2 a B R2
F343R = 0 5R: Et Aciem habeneis BB H, Diltancia Ceneri grariaris d PT,
12 0 R. - 12 5R - 6 a BR + =; aBBK, = 12 a R + 12 5 R  29
3 a = = 5BX
ciemque hrabencis Pr, distancia Centri graritatis d Bb K,
25.
A-
+2 aR = +25N 60BR L a3
2   125 R2  +2 a B R + 2 a -6 a 5
3 a2 - 605 = 6BR
X
38 -, 6a5 + 6bX
e SeL cie
Sed ee carundem Ongularum XbB momenta, haberi poterunt; ex Ungularum
totius Ara momentis, subductis momentis respectiris Ongularum ABBa: RC.
Ctabune utique momenta respectira Ongularum rBB, qua et ad alias, ut opus
tuerie, rectas tacile tranoterentur.
WIIESF
Ex momentis aurem Ongularum ABBa; Si subducantur respectira Vngula-
rum BBaB momenca; habentur momenta respectira Onsularum ABB.
Fs aurem Ongulae bB a B, aciem habentis bB, ret Ba, (urpoie Prismatis.)
magnicudo, Z a XB = Z a B; ejusque ab acie sua Diltancia Cenevi pravitatis, 2a;
a termino oppolico, 3a. Adeoque aciem habeniis bB momericum respectu Aa;
acietVC
pi5. 163
M