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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)
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De Calculo Centri Cravitatis. Cap. V.
d
Fi∞. DCOB. Praecccl. ) 5 P= 22
150.
160. que habeneis T A, momenrum (respectu A0,)
Panciague P + 30
4R F 80
7R- 30
20R 80
R +30 fx, magnicudo,
24
+ 22
Aciem.
Et Semiquadrancalis Uneulae suver Friangulo B V a. = BC a = BV C, aciem ha.
bentis ra, momencum (respectu A a) S _ = 2V 52 _ + 7 R = 38 si v; hoc est
(prOpter x = R = 2, supra centrum, addendum; vel v = - R + v, intea
Cencrum, auterendum;) R = 2~,. X +
4
22- 200R + 30
24
5
12 R = 120 R + 30 5; vel (pCOpier V = 2y R - 5,) 3 5 ) - : s v R
2.4
Sst = 5S H; (US P.) Adeoque (PrOPIermaz. 3 R -  5  + 5R - 20
3R - ~, P +5 R= = 7v R + 2V
5 X
35R, = 352 R = 3 5~ = 85R2
= 35VR - 3 5 = = 5B; UE SM. PEOB. PEACCd.) dictancia Cenri graritatis ab
A a 85. Aciemque habenris T A; momentum (uc S F.) ; s2 B R = f s2 B2:
1
maenicudo (uc BM. prOP. Pracec. ) sB R =  sH: distantiaque
2R + 3V
8R + 80
8R. L 3B
24R  8b
Ongulaque Semiguactrantalis super Friangulo B A V, aciem habenris Z a mo-
mentum respectu Aa est (Ut S G, ) SV R F 55; e magnieudo (propter mag
nicudinem Prianguli Zsv; distantiamque Ceneri pravitatis a L A = V, e 2 7 a
2R - 30,) 52R- 35~ = 352 R +35; ee dultanria Centri sraritatis ab Ae
2V R + 35
8VX = 8, 5. Aciemque habentis PA, momentum respectu A ay = S2 V R
Ssi magnicudo,  5V = 3 52 R = ; P; Cenerique praricatis ab A e distantia,
6VR = Z52
160R - 8
de EescnrArE eru
Et Semiquadrantalis Oneulae super A B A Segmento, aciem habenris Za, mo-
mencum respectu Aa, est (uc SC.) Z V R = 6S R L =S V R = 5V R L 2S VR:
magnimido (per SN. pr. praeced.) = a R? = = 5 R = 55V X; Cenerique gravicatis
ab A a distantia, 4+ 2  = 2 5 R + 5 v
4 X- 2B R
6a R = 65 R +25V 6cR + 25V
V. Acienique haben.
tiS TA, momentum ZV R3 = 5s R2 - , 2 s V R = d V R = i S V R; magnicudo.
3a R = = sR = 6svR; distantiaque 4 2 N- 2. s R- 5 v 4 R  2b  s
6aR = 65R 25V GCR = 25V
Atque jam (inter, alia) Solidorum Semisectoris BCA, B a A, aut semisexmenci
B V A, Seomencire AB a (nedtum Friangulorum BCa BC. V, BAY, B Ha, dC.)
circa Aa integra convertione deseriptorum, Cenra. graricatis determinarimus:
Ostendimus urique, distantiam Cencri graritatis a T a, Y A, BV, _C. Acque in
iDlo AXC Aa sicum elles constat, Ex prOP. 5 hujus. Iplum iaque punctum de-
terminarimus.
Fctimiliter, Cencra pravicais Solidorum incesrorum, quae (non modo sectoris
BC B, vel BaB; Vel Sesmenci BBA; uc quae in medio Axis conrertionis esse ma-
nifectum est; sed e) Semilectoris BC. A, vel Ba A, auc Semisegmenti B V A,
Segmentire ABA, circa 7a vel F A, aut eriam Semilesmenei BV A cirea BV,
convertione incesra deseribuntur, determinarimus. Cum enim eorum distancias
ab Aa plano designarimus, eaque in ipso convertionis AxC Fa TA, vet BV,
este contter (per s hujVS:) iela Axis puncta, quae Cena gravitaris funt, deter-
MinRnTT.
Verum
N