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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 846, page id 851387705:0866
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L19. 17)
FI.
DeCalcuo Centri Cravitatis.
15 RP + (3X ~
2v2E
=) 3X2
LaCF
2BX : Ft, semiconvertione Facta, hu-
jus semistis) IIudque momentum, per magnicudinem (20) dirisum; extribet,
ejuldem Ab currae, distanciam cenii pravicaris ab A e a-
BR2 F. BX-
6X 
P
+ Z. X B
7
Deinde; (Dirisa ut prius A Z, Curra H3. F77 +80. in minutas partes aquales: )
Fif. 177. Cum quae lingulis b punctis (seu minucis parriculis) insiltunc, semiquadranta.
D
tem ungulam, cujus acies Y A, complenteS, FiINE(Per S F.)=Z; sincque illarum
ab A a diltancie (per 5C.) a f s; crunc sineuilarum momenta 
2-
(Tumpris c arichimetice proportionalibus.) Adeoque momentum simul omnium.
Llive quae coram A2, live qua pariem AG ipcclanes)  ABBiegacum omnium
2 X eo spectancium; hoc est, Omnia 
5c
F2R
Fig. 170, Sune autem Omnes a (Tumpris carichmerice provorrionalibus) aequales respe-
82, 183. ctiris rectis bBtig. 182. rel 20tig. 183. (ucS Cr. ostensum elt) harumque ab
AS distancix sunt ip(x Ay = c respectira; adeoque quae illis intistune plana
Ongulam semiquactrantalem complentia ( aciem habentem, A5) Punt Omn. ac:
Florumque planorum ab Ad distantiae lunc icidem Ay = c: Erso eorum omnium
momenta lunt Omn. ac
Sune ilaque Omnit a c eo spectantia, idem acque Momencum Ongulae Semiqua.
drantalis A~a Vel AOV, (aciem habentis AS,) respectu ipsiUS AS. FIOC eH
Sca decuptum momenei timilis Ongulae auP, vel 407, Hg. 170. (aciem habentis
2. 5,) respectu ipsius as. Nempe in ratione Quadruplicara lacerum homologorum,
A∞ ad aF, (qua dupla cst;) propter cum lingulas erium solidi dimentionum,
cum diltanciam ab axe convertionis; Duplas in Ana, carum qua In a X I.
Elt autem Momencum Ongula ax F fie. X7, 0. respectu aciei luxe as, idem atque
Momencum nailae a Su F, dempto momento Ongulae au drespectu communis
aciei a5. HOC CHF, = R3 ~ (DTOPIEF a F = R, _ a S = = P,) dempto Z R + (peF
dH. PrOP. 29.) HOc ect, 2 R3P = Z R2. Adeoque Momentum similis. Ongula
An a Fi8. 183. respectu aciei AS, (urpore illius Sedecuplum) 3 R3P = 38 R4
Duod itaque est aggresarum omnium a c? rocam A ∞ tig. +83. Spectantium. Adeo
que 3 R  - 15 R., 2er exatum Omn. , eo spectantium. Ft (propter A -
tiB 182. = 2A a. tig. 183. Dejuldem duplum Z R2∞ - 3 R. est ascrecacum Omn.
2X. Spectancium A , rectam tiB. 182. cli vamve A F. fi8. 177.
Trem Momentum OnguIX a07 fg. 270. respectu aciei sux aE, idem est acque
Nomenium Ongula aE02, dempio momento Ungulae aoE, respectu communis
aciet aE. HOcest, 3a 53 (poliis aE = a, _ ay = E, = 5,) dempio 3u2 R2 +
Es?VR (per DH. prOP 29.) HOC est 3a 53= 5 V 2 R 2 = 35=V R; TumptiS S
pro Temilubienta, leu linu dimidii arcus; et a v, pro illo arcu dimidio ejusque
linu rerso; hoc cst, a = AN, s = AM, ~ = MIN, f8. 579. Adeoque Momen
cum similis Onsulae A02 F8. 283. (uepore illius lexdecuplum,) 15 a 5 = 1822 X
=1652V R (Tumpris a 5, 2, eodem sen tu:) Hoc est (sumpris a = ANB, C = 25
AMB, V = AI = CH . CM =-C, N = = aB = R = 3X, adeoque e V2=
R2 - X R + 2X 2 = R 2 - x R + R2 = 2 C2 = 2 R2 = X R - + 62;) + ac3 -
3R2 + 157 R3 + 302RZ- 3~ R + 3C2 X R, = 3 a6 - 3R2 + 16X R + 252 R
Duod iaque elt iescenum omnim ac rcetun a, spelanium. A eoguet
Cap. V.
846