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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 753, page id 851387705:0773
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PFOB.XVII. DeCalcuto Centri Cravitatis
relpelo f45- 5as. Moeu relvectu la
25R  V se
helpectu bb, -  a a + v se 4 2a v; distatictau ric. 169.
Centri sravilacio ab
2uR - a
Adeoque determinarimus, corius Fieura Sinnum Vertorum, Arcuum-
re, ejusque partium expositarum magnicudines, et momenta re(pe-
etu rectarum aliguot expolitarum, corumque Centrorum grarit
eis ab illis rectis distantias; adeoque e ipla Centra graritatis, per
corundem à duabus faltem in eodem plano non parallelis rectis di-
Stantias, determinarimus.
Atque hinc Ongularum, et Solidorum convertione factorum, horumre RL. L. R.
Semilolidorum, momentis jam eraditis correspondentium, magnitu-
dinestrabentur. FTorumque omnium rationes, ad his correlpon-
dentia Semicirculum ejutre porriones spectantia. Ouxe et ad alia
Facile poterunt ampliari.
P A RS SE CV N D A.
Acque his Analosa, in Fixura Sinuum Rectorum aru, similiter determi. Fis. 170.
tanEuE. NempC,
Bilinei arn, Masnicudo, 2R2; Momentum respectu  a dR P; distan-
tia Centri sraritatis d 7a, 16P; dFF vel A a 2P; momentum re
SDectu FT, vel A a, =R2 Y
M.
Trilineiasu; Magnitudo, R2; Momentum respectu Za, is R2 Z; distan- N. O.
tia Ceneri Gravitatis a 7 a, 1 P: Momentum respectu Aa R3; rCIBC. P. O.
CtuSn = R2 P = R3; distancia CenEri grarItaLIS ab A a, RG aS n, +∞ = R.
Portionis a Bo, Magnicudo vX: Momentum respectu ro, e R2 + 4 50 R; O. O.
distancia Ceneri Gravicaris a ra F: Momencum respectu Aa, P O
=e R + av R; respectu Bo, e R; distantia Cencri gravicaris ab Aa,
=e R + 22
Adeoque determinarimus, totius Fisurx Sintium Rectorum, ejusque R.
parcium expositarum, magnicudines, ee momenta respectu rectarum
aliquot expolitarum; corumque Centrorum graritatis distantias it
illis rectis: Adeoque e ipsa graritatis Centra, per luas a duabus
Caltem in eodem plano rectis non sibi mutuo parallelis distantias,
determinarimus.
Atque hinc de Ongulis; Soliditre conversione factis, corumre Semi-
Colidis, aliisque qua hinc dependent, calculo debite achibito, judi-
cium Ret.
Ouxque de portionibus hic expositis dicta sune, postunt et aliis por-
tionibus tacile accommodari; aliasre multis modis ampliari.
Fademque (horum opC) ad auF figura Sinuum rectorum unius qua-
drantis Complementum, facile transterentur.
Ouae autem de his sinuum Vertorum, Rectorumre, Pisiris HictL nC; S.
ad ealdem Procractas, vel Contractas, facise accommodantur.
Ouaeque de Digura Sintum Rectorum uniys quadrancis praduntur, eas
dem ad sieuram Subtenlarum lire Chordarum demicirculi, similicer
cransterencur. Ouod e de Solidis inde oriundiseriam incellisendum
exit.
CCCC
Intet
5
b
2ek +