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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 849, page id 851387705:0869
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PEOD Z XII. DeCalculo Centri Cravitatis.
num V a = A, P=
Ci+. l
.32 XC.
16 . et AV = 1)  (volico AY = C; d) Pabetur. 184
e
Folidum A 790 = 5, R. =  R + 3 X3 +. 16H 80 P: HOC ell (PrOHIeE
p = 4 , = C7, adeoque X9 = 16R 1 - 8C R + C. 1 .) 1 P = x R. + 3X P.
a
= 5XC2
XC
XC2
16 R2 FX R2 + 15XC 2
4
8 N =  R3 = 1 X R 2 = i X C. 2 +
20 R: Vet (resticuro valore minuscularum, A7 = c, et AY = 74 = x = Y:
4R -c:) 15 R. - EX R = i c X H 20 p. Duod iaque est negrexrcum
2
Omnium  V: 4. P =C: seu Omnium =, rectam A Y lis. 284. vel planum
A rV H8. 183. Spectaniiim. Adeoque (proprer A + fB. 182. = 2 A a L8, 187
ee consequencer AB = 2 A7;) hujus duplum, 33 R3 = 15 X R 2 = 362 X +
E0  2BBregatum Omtiium , spectancium planum AB0, vel rectam AB
2 R
H8. 182. vel cueram AB AB. 177. rel (propier C = 4 R = X,) B R - 3 X
20SZits   L eirmmlest cerjius: B R 3. 5B oeq . 1
Chmm senque sine, quoe cotana A r spectane, Dmmul.
C
2X
(ne modo oltentum erac;) de Omn. X
po
R. P = 1 R, Fis. 177.
2 = H _, (ve jam ostentum est:)
Erunc Omn.   c: = 3 R2 ~ L at PB. Ouod icaque (per modo demon-
strata) est lemiguactrancalis Ongulae superticialis, tori, A T F3. 177. intiltencis,
aciem habentis A F, momentum respectu Aa; Aut etiam (propiee Alcieudinum
d Diltanciarum reciproeationem,) aciem habentis A a, momencum respectu LA.
Hoc itaque Momencum, per Ongula A7, aciem habentis P A, masnitudinem
R2 (AD, F. Ostensam,) dirisum; extribec ejusdem Centri graricaris ab A a di-
Itanciam, EP = 3 R. (Pademque erir inde distancia centri graritatis correspon.
dentis superticiei convertione vel semiconvertione circa TA factae; cadem yri-
que quae superticialis Onsulx: Momentorum rero ratio, eadem quae magniendi-
num; nempe ad illud Ongulae, ut P vel =P ad R. Et sic alibi; nempe quo-
ries axis librae est, ad axem convertionis ad angulos rectos: Ve Caepius insinua.
cum est:) Adeoque ejuldem a Pr distancia, cHt = R; EjuIque prOPterCa, re.
spectu T∞ momennim, t R
Ouod inidem est Ingulae A7, aciem habencis T. F, momentum respectu F A.
Hoc iaque per magnicudinem (S C. tradicam) 15 R3, divisum; extibet hujus,
T A, diltanciam ceneri gravicaris, 5 R: Adeoque a + en 35 R; ipsiusque respectu
Ta momencum, aS R3. Aque hoc iidem est Ungula AT, aciem habentis ra
momentum, respectu PF. Quod ieaque per hujus magnicudinem 5 R 2, diritum;
exhibet ceneri gravicaris d Fr diltancium, icem 25 R: Adeogue ab A a, LP - 15 R;
ejusque respeCtu A a momentum 3 R = 2 = aS  3.
Idemque (quod modo dictum est) momencum GR2 P - a R3, per Vneula AF
aciem habeneis Aa agnicudinem, 2 R P = 15 R, (SC. Ostentum,) divitum;
exhibet ejusdem dictanciam cencri pravicais d Y A, 30~ = 32. R R: Adeo.
que 2 τ0, 60P = 208. R
45P = +2OR
R2 P - 16 p3
45P = 120F
P. Ft proprerea ejuleem respectu r a Momentum
Sed e hoc iptum (propter Alcicudinum ee Distanciarum reciprocationem) est
etiam Onsulae A7, aciem habentis r a, momentum respectu Aa. Pex hujus ita-
PPDPD
quC
3