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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 842, page id 851387705:0862
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342
20dR- 23
De Calculo Centri Cravitatis. Cap. V.
32
2
deoque, a +
200  + 32
30 R - 5V
50R - 5,: Ejulque propcerea momentum relpecta ra, Bc R. - 3C v R. + ZCV;
et respectu bV, 8cVR = + CV: Superticiei rero semiconrertione ipsus AB circa
118. 1)J. Slavit
que graricatis inde distana 240X
ra deleripiae, momet et  to ten L0 R - 15C v R + 36V; cenri
=800R
+ 122
ti
3a  57
Eadem etiam Sc habentur. Sumpris Subrentis AB =6, (adeoque et curvis
f.18. 177, AB = 20) druchmecice proportionalibus; adeoque (per SC.) dirita Ar curra
in parces aequales; exic lingulordim b punctorum d Y a dillanciae, A Y (= 0
 2 X. (hoc elt, uc series secundanorum, seu ordinarim applicala in semipara.
bolae complemento;) corumque à r a distanriae Y ∞ = 2 R ZR. Adeoque s
intelligatur AbF curra Fg. 177. in rectam expandi, vel huic aequalem rectam
Tumi ABF, vel aBP, H∞. Z8F; Rjusque b punctis, aequaliter ab inricem distanti-
vus, intiltentes rectae bP ipsis A V respectiris aequales, tiguram A PF complen-
tes: Fxhibebunt hae rectae lingulorum B plinctorum, seu particularum minuta-
rum momenta respectu ipsins T A fg. 177. (Peur e reliduxe pB, carundem
momenta respectu Za; nam propter Bp = A V, erit DB = V a:) FE proPterea
cum planum AF P, tOrIS A F CuErE; cum planum A BP, CurVX AB, momien-
cum respectu T A: Fe similirer planum A P a, CUETA A T,, et ADBa, cuera Ab,
momenium extibebit, respectu ra; de ADV, ejusdem AB momeneum respectu
BV. Fst autem, (Proper orctinalas b D = =, in dupsicata racione diametro.
rum AB = 20,) Prilineum A Pr Temiparabolae complethentum; ipsumque A P a,
Parabola: Adeoque (proprer A D = 4. R, ec rP = 2 P,) A P + = = R; e A P a
 RE; (per prOp. S. hujus:). Ouae uaque Cumr cUera Ar momenia respectu
Y A _ ra. Similicer; Proptex AB = 20, e Bp = =; erit CurVR AB mo-
B3 lit B. crCiB.1ZeC
mencum respectu TA, ; ee respectu bV,
25
y e Ap BC (= AbBa = A pb)
3 R rehissisee 1 3. Aoasi BOVC
 cjuldem, respectue r a, momencum. Hoc est, (Propiec e = 2 V R)
2CV, et 3C2, e 4C R = 30V.  VE prius. Oua guidem momenta, eadem surI
acque correspondentes Ongulae; ut lapius dictum ettsrsicu
Cumque quae has superticiales Vnoulas constimune rectae, sune ipsarum ab acie-
bus suis distanciis aequales; adeoque momenta, ut iplacum quadrata: Erit suPCr
ticialis Ongulae AF aciem habencis T A, momemcum relDectu P A, omnia rectarum
. uleue ad corum marinum, noc est quadrurum
22
bp quadrata, hoc est omnia
182.