5*2 
Mr. WlLDBORE on 
force of that particle to move the plane Swl in a direction pa- 
rallel to BN, or about the permanent axis which is perpendi- 
cular to the plane SBI, and which value is the fame in what- 
ever point of ML the particle^ is fituated. 
Let GgR (fig. 7.) be a fedlion of the folid by the plane IBSC ; 
then, fince the motive force of a particle p of the body 
fituated any where in a line perpendicular to this plane at y is 
% 
p X qn x the motive force arifing from the dimen foil ML = 
2 d of the body will be=:2dfo 2 x LL, and asSI= 1 : 1 n :: 2 dv~ x 
J Bi\ 
: zdv x = the equivalent motive force adling at the 
Bi \ 2 BN n 
conftant diftance SI “ unity ; which mud: hill be integrated with 
the other two dimenfions of the body, becaufe every par- 
tide ^MjjxKRxjj. In order to which, let now / = 
s and t = the line and cofine of QlK = NBI=SC to radius 
unity, IR=:£, GK = c, KR = ,v, and qg=y; then will KI — 
x — b 9 Ky r -y — c, and as / : KI : : 1 : yl z= - — - : : s : QK =: 
~ x x — b ; hence, Qy = Ky — QK ~y - c — s - x x — b, and 1 : 
Qy : : s : Qn ~s x y - c — ~ xx — b \ \t : qn~t x y - c - sx x — 
and In = QT+Q« = ^ xy c-\-i x x — b ; hence qnxln — stx ’ 
y — 2 y c + c + f x y — c x x — b — / x y — c x x — b — st x x — b\\ 
which multiplied into zofy and the fluent making y only variable 
fo as to comprehend the whole body, whenjy — 2c — ^G,is = zdfst x 
— — zc x x - 2 ox + and this multiplied into x, and the fluent 
taken in like manner, will, when = 2<£ 7 be=- x djstx 
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