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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 788, page id 851387705:0808
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DeCalculo Contri Gravitatis. Cap. V.
ejusque respectu PA, momiencum, 3f R. F 3SBR 2 =  SH R = 3 fR3 f 362. R.
Edetique 3f R3. F 3 B R, est momencum Ongula eidem bB a. R insiltenris;
aciem habeneis T A, relpectu ra (propter alticudines ex distantias ubique reci-
Procatas,) et (propter maxnicudinem Zf R2 = = sBR, per 8D. prop. 27. ) D
Pancia Contri gravitaris a 7 ay
24 fR= Y 453 E 245BR f 28531
cl1B ct   e quil 4S  Sit
FA, 96 fi R = 18 5 bR = 45
K
=1 R.
225FR = 455B
245B R +, 20 5 al1 xjusque respectu
esla 45 f. R t 95B1 C B E1EI B25 fi R = 45 8Biii
F A, momencum, 2E f R 3 = = sB R 2 = = 53 R.
 tersi
FsL autem, Semiguacrantalis Onoulae Eori A aB K quadrilineo insistentis aciem
habentis ra, (DTODECK Aa = 2 R, ee AK = aB = a) momentum relpectu ra,
(aut criam, aciem habenES T A, momencum respectu T A,) 3 a R3. Onde, li
demactir momentum Ongulae quadrilinei bB a A, modo inventum, 3 f R3 f L SB R
=553 X -= 3a R3 F 165 R3 = ZsV R = SR; reLINQUICHY MOENEII, respectu
ra Ongula insistentis Frilineo reliquo ABR, aciem habentis r e S a R3 L 1L5 R.
F352 R2 = 9s R = Z C R3 + Z 5V R  = 3 53 R. AdcOque (PrOPICC magni.
indinem, 2C R= = E 5VR, Dex S F. PFOP. F7.) Diltantia Cenri cravicaris a
oii 660 R 2 = 18, 52 R (t 4 5
BR 24
R L 20
Iu 225 C R + 45 5V 1 acque d Y A,
5 Tdeoques ejusdem AB H Ingula aciem habentis ra
i 245, C R  A5, S,V 0. l3 ei EOCII SeICB EEO B
Eliste
momentum respectu T, A, B eR 2 -- 5 S R19 1t. it 2), C i 1 
Tdemqne ZC R3 =35 R, elt momentum Ongulae eidem A b K intiltentis, aciem
habentis PA, respectu ra; (propter alvicudinos. de ditantias ubique reciproca-
caS:) Adeoque (proprer magnituidiem Z es RB  ZISV R, per S R. prOB. F7.) Concri
V
12(1 2A. B R Z - 4.53 et 5:
EBIVISSIVDIE NI
1.850R 453 2t
8. A onfr + um Fm lest ; RIgue, d L A 5, L1131
( )C R, , dSV, p 9BA C. D2. 1C51  B 1.
2
1850 4 52B
33 27 ek912
 1111
30a pti 1B so R + 45: Ideoque ejusden, respectu X. B, momeniune de p.
1r Sd B etR. 95∞.
12R2 f235 p DIV(3.A d A P s CspontiA: _ 8 sn si esC iVE EINS
Similicex ostendecur; Semiquadpantalio Ingulae Frilineo bBr, aciem habenitis
TA, momencum respectu aciet (ua I A, t a R = 165 R3 = ZSBR2 +
dexespectu ro, 3 a R3 - 35 R3 - 3 S R: Cenirique gravicatis ditanciam a L A eAC
23 X + 1
4 5b R + 205
acque d Fa, 153 P-
EF ∞2 225 4 R - 2255 R + 45 5B
24sBR = 2053
 225 a R - 2255 R.  45SB
Aciemque habenris ra, MOmenEuM respectu P A, 3 a R 3 -Z 5R3 = 35 R; e
respectu, Ho, aejer suae, 3 a R 3s R3 = SBR +5 5 R: Cenrique erarica
ris distariciam. a F A, B R +
4 5B e 1. teves t3
4 SB
-
27 a  = 275 R = 9 sb
_ a 24, 18 R
Nam, eodem plane modo rectae ra adjacer prilineum
279R = 275 R -= 95Bi1.
BBF acque Lhuic simile ec aequa le) Frilincum bK A rectae AF: adeoque idem
ralet eu h, in illo, atque an 2, in hoc
Deinde (PeE prOP. LR. hujus S F.) E ex, Ongulae quadrilinei BBa A, aciem
habeheis ra momenro relpectu r à auseraulr Ongulae Parallelogrammi bBa B.
aelem Matsetiris ra hidinemreum respectu ra; relinguicur Unsula legmenio DB A
insistentis aesem hiabemis xa, momeneum respectur r a.  c
IIa aurem Paralletoerammi BBa B Ongula, aciem habentis ra, est Prisma,
oppositarum balium eriangularium, rectis BB, aB intiltentium: Cujus itaque Cen
eri grabitatis distanca d Ta (quippe eadem qua balium criangularium, per prop. 5.
trujus;) elt Z a V = Zh; adeOque dT A, 2R - Zh; QUae, ducta in MaGHIE-
dinem. 16 . b (pex SF. BioP. 17.) extibene. ejuldem momentum respectu aeici
p l11
SU