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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 815, page id 851387705:0835
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C
PFODXX. De Calculo Centri Cravitatis.
dem in ea ratione Majores Minorclre, qua recta r a major est vel minor quam
EP, Genitoris Circuli Cui Semicircumterencia. Adeoque; quocies in calculum ve-
niune rectae BB: pro a lubllicuenda erit quaneiras qua ad hane lic in ca racione
qua cHt 7a, 4d 3 2. Ft Timilirer, mucaris mnicandis, in carundem GDuadracis, Cu-
bis, reliquilque poicllacibus. Oc in pracectencibus aliguor propolucionibus mo.
nicum fuic.
=ROP. XXI.
2nouta Semiercloidi Ar a insictens deiem habens F a eAt Dupla sesqui- A.
alteran correspondentis Ongulae semicirculo ADa insistentis; (cu Fis. 166.
ut 5 ad 2.
Ejusque Momentum respectu aciei suX, Cst. Duplum sesquitertium NO-
menti Onsula respectirae Semicirculo ADa insistentis, candem
aciem habentis, respectu aciei (uxe; Peu ut 7 ad 3.
Idemque in respectiris portionibus obtinet: Puta Dneula Ouadrili-
neo bBa A in Semiercloide insiltens, aciem habens ra, eAt Dupla
sesquialtera respectirae Ongulae Sectori B a R insistentis; seu ut
52d 2.
Ejusque Momentum est Duplum sesquiterrium momenti respectirae (p.
sula insistentis Sectori B a A; respectu aciei suxe Fa; scu ut 7
ad, 3.
1 25. A. Y
Atque hinc eadem respectiro determinantur, tum quoact NOmenLa,
e Centra graritatis, in Tnoulis semicreloidi, ejutre portionibus,
insistentibus; atque in illis qua semicirculo, ejusque portionibus
respectiris insictunt.
.
ce ete
Treimpe Crecentis Symbolis ue in provosicionibus praecedentibus,)
Semiguadrancalis Ongula, Semicreloidis ar an aciem habencis ra Mar-
nicudo cA3R P; momentum respectu ra, 3b R3 P; relvectu Y A,
28R. P; distancia Ceurri sravitaris a ra, 3R; d P A, SR: Momentum
respectu AC, 3 R2 . - G R2; diltancia Ceneri gravicaris ab A a, i P
128 R
45~
Aciemque habentis T A; Masnitudo, 3R. P; momentum respectu Za,
e R P; relvectu TA, 38 R. P; dittantia Ceneri BravicatiS 27a, 23R;
B.
1I.
B.
a TA, E R: Momentum respectu AC, + R2 P 2 = 3, R; distantia C en. HI
eri pravicatis ab A a; 1 P - e+
637
Aciemque habencis Aa; Magnitudo, S RP2 -3 R3; iomentum respe. H.
Aura, ER P = 5RC; respectu T A,  R. P, -3 R; distantia Cen-
Eri CravicatiS L Fa, DR= p- 6G  i d FA, 8R. + 32 43
9P2 -64 R: MOMentuI M.
respectu Aa, is R P. = 2b P P; distancia Ceneri eravicatis ab A a,
35 R28
0P -64 R
Onsula (Semiguadrantalem intellise) Portionis Semiereloidis BeaVA,
aciem habentis ra Masnieudo, 3FR F i SB R; momentum respectu
an 3 fR3 = 3sB R2 - 585 R; respectu L A, 2 f R3 -  sB R + 265 R
distantia