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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 736, page id 851387705:0756
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DeCalculo Centri Cravitatis. Cap. V.
F18. Lupra intrare Cenrrum fuerit.) F.L ( resticuendo Magnicudinem) Momencum ejusdem
264.
F.
YBDC, respecta r an ~ R. - L, ∞ 3 + 2
5.∞3 F
2A
2 = x 2
e
4 R
un ee respectu FA, _ 
Alque haec porcionis Y BL Cmomenta respeclira, dempra adlicare (prour Cuxra
intrare Centrum C contiserit V punctum,) respectiris Semiparabola AAC (rC-
spectu rectarum +a, T A,) momentis, i R3, iE R 3: exhibenc Portionis AV B, mo-
mencum respectu r an I R. F ~ R 2 L = ∞3- 
xR2 + 3 ∞3 +
R2 = ~2
c
= a2; e respectu F A, E R 3 F
Reductione aurem facta, valorem iptiue a retticuendo, reperientur haec momencis
Tuperius detignatis conrenire.
FA enim N = = R F V; prout supra intrare Centrum concigerit; (Hoc CA,
x = R - v, lupra Centrum; rel x = = R F v si intra Centrum.) Adcoque
FN R2 ==- R3 = V R2
=v=R = 203. HIOC CE ( DEOPtEF V2 = 2VR = 5, e V3 = qVR2 = 2 5 R-
5227) =3 ∞3 = + 3R3 - =A2 = 35 R + 152V.
Et uiroque catu (hoc ett, AvC N = F R = v, SvC X = - R F v,) est N = R
= 2.V R = v2 = R2 = 52. Adeoque = R = - x
=iR
+
R2 +
4 
Adeoque momencum Porrionis ATB, respectu ra, I3 R Z V R2 + 1 403
eR
4_ v2 = 20 R  s R +  s. v + -
ei
pPrFiro +2R= x
4X
4i e respectu Y A, 1 R F
 = 30R - 3 s R + 352 - 
Acque haec momenta (. propter Prismaris ipsi A V B insistentis altiudinem 3 R)
ducta in Z R; exhibene iltius Prilmacis momentum, hoc est momentum Semigua-
drantalis Onoulae Semiscomenio Circulari A B V insiltentis (aciem habentis A a)
respectu ray ZV R = 6s R= + 352V R + 354; et respectu L A, 5V R3 = 6S 
F352VR = + 5A. OEpriUS.
eCenri cravicaris discantia, tive d re Ciye F A, Eve d BY, elicietur,
UE PEIIIS.
Porco; Coni incegri BB. (Prianguli BVa, cicca A a convertione de teripri,) mas.
R - 
vie. 153, nicudo (per proP. praecedl, 55.)  P ∞ = 2  ,  P; seniconi, 12  S2 P; DN.
Gulaque 5 S2B = 3 52 p = 252v.
6R
crariracio distantia (per 5 hujus) 2 2 a, 3b =3 R = 3V; d F A,
= R +
Ouae quidem distantia, sin magnicudines ductae, exhibene momenca, resvectu
iphils r oy Coni =  f  + R = 4u R + V, . ∞ - 4 R - 2V R - 5
60.
K
miconi 4. = 2VF
8R
52P; de
26Xs2 P; Serhiquadrantalis Ongulam 5S2 B2 = 2 52 R. -
252yR = 854.
Et, respectu iptius TA, Momentum Coni L S BF -
Semiconz, 4. 27 = 2v R f 55
48R
S BR - S2B25 1
2B2
8k
+A - 20F35 58
24 
s2∞; Vneulaque 60 R -  s2 v R + 55a =
Aeque