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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 752, page id 851387705:0772
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De Calculo Centri Cravitatis.
sil
tane
=LL. LVTY, 3
1
CapN.
A.
1e  AAEVIE Mi
Fisura Sinuum Versorum, ut A Z a; (quxe eadem est  Fisura Arcuum:)
Fis. 169, Fst Semicirculi correspondentis Dupla; e partes, parrium (respecti-
70.
B. C.
ve lumpearum,) Duple; Puta, BBa A = 2B a A. Et sicubique.
Nomenta vero illorum, ad momenta horum, respectu ejuldem ra
cansentis, suneut 3 ad 2, sen sesquialtera. .
LLCILI
Acquehinc, eadem respectire determinantur, tum quod ad Magnitu
dines, cum quod ad Momenta, e Centra graritatis, in hac sinuum
Versorum Figura; quae supra in Semicirculo (ProP. 15.) determi-
nantur. Nempe; (retentis Sybolis ut in propositionibus praece-
dencibus) ssc o coli
Fritinei ATa; Maenicudo = RP: MOmentum Fe(PECtu Za, 3R2 P; xe-
spectu T A, 3R= Z; distantia Ceneri GraVItatIS 2 ra, 3R; d T A, ZR:
MOmeKTuI respect AC, S XD 23: relpectu Y1, 3RD, +2 R;
distancta Ceneri sravicaris ab A a, + 8- 4 A
; 2 F X, +F  2
B. D. Porcionis b Pa. A; Magnicudo, f P: Momentum respectu ra, 2S P2 +  sbR;
respectu Y A, 3Y R. =  sb R; dittancia Centri pravicatio a ra,
e
5. BetiCCBil EM d 5 1 S
 R + =; a FA, ZR - : NIOmeHTuM FeSPECEU Aa, = a R F as R V R;
respectu b; Ja P F vR.; distantia Cenrri pravicais ab N a,
a2  2 a5  2 V R
2 + 2V R
2a + 25 1 d b3 2a f 25
B. F. Portionis ABK; Magnitudo, CR: Nomentum respectu TA, 3C R 2-
sd R; releecturo, sC P + s0 R; distancia Cexeri eravitatis, d F A,
illo
3R 18 
461
4C
VRZ; respectu BBK, 3a R= V R; distantia Ceneri gravicatis ab Aa,
4 2a5+ 2V R
2a -25  it 4 P, B A
a2+ 2, ~ Reorur renssi 
B. E. Portionis BB~; MasnieudO, a R = SR: NIOMCHEIM reSpeCtu Na, ZLR=
sisb, respectu F _, 3a p 35 R + i SB R; diltania C ey.
Eri gravitaris d = ay, 3. R = =  ; a FA, : R +: Momentum
4.
retrectarF, La R= q5 P F B R relpectu BB, ; a R = B Re; distantia
=26s
Centri eravicatio d , 2  2 C 5. + 3 bR. 2BB, 20 = 25
1. 2. 8  2 5
B. F. Parallelosrammi bBaB; Magnieudo, ab = 2 a R = a v: Distantia Cen-
eri Sraritatis a ro, = B; 2 T A, 2 R -= Zb; momentum respectu ta; abe:
respectu TR, 2abR = 3 ab =2a R2 - - a02: Diltantia Ceneri oxa
vitatis ab Aa, seu b B, La; momentum respectu Ao, vel BB, 3 a2 b.
B. F. Portionis bBA; Maenitudo f R = ab = -- c R F aV: Momentum respe
Au 7a3 = 3CR + avR - 5 50 R + 3as; relrectu F A, =3C R + avR
+: 50R =3as; distaneia Ceneri eravicacis 2 r a, Z R - SvR - 2a5
a Fa: t
fDR = 2 a 52
=4et + qavi d bB, 0 - : R-
foR = 2452 4e R + 4a0
+e P + cavimomenrum
respectu
C.
P A RS P R L M A:
est