-24 Mr, Wildbore on 
brought to an rffue, and the motions and times may front 
hence be computed. But it will be proper firft to fhew 
wherein, and why, thefe conclufions differ from thofe brought 
out by Mr. Landen. 
The three perturbating motive forces acting along the peri- 
pheries of the three great circles CB, CA, and AB, in fig. 3 . 
Prop. iv. are above found to be — x d 2 — c x yz, — X b — d x -rs, 
3 
M 
and — x S — b*x xy refpedtively, or their equals — * a - c X 
3 * 
e\L - x b 2 - d * i x e*/3S, and - x c - b 2 x //S y. And if we fup- 
3 3 
pofe the accelerations x 9 y 9 and z 9 to be reflectively propor- 
tional to the motive forces, the fum x +y + z mull: be propor- 
tional to the fum of the three motive forces, and xx +yy + %z 
_ . 
or its equal efix + Pyy + eSz muft be proportional to — X d z - c 
X xe z yS+ - X b 2 - a x X c 2 — b 2 x zefcy = x efiya x 
3 1 3 
iffT? 4 - b 7, -d 1 + c - tf that is as nothing ; confequently, ee =z 
x$l+yy + zz = o, in which cafe therefore e muft be a conftant 
quantity. Moreover, thefe quantities now mentioned as re- 
fpeftively proportional to one another, turning the equal ratios 
into equations 
d—c z x yz f x 
X xy d z — c z X eyo 
y 
tr — d l X 
_ S-b~x eHy _ _ De^ ^ Ce$y . henC£ D/3/3 = -B yy, 
i h y i 
* 
and DSo = — and taking the fluents of thefe two laft 
equations, putting n and m for the refpeftive values of (2 and $ 
when y~ o, we obtain D/3 1 = D n — and D<T = D m — Cy% 
confequently B — r— and o '= ; which are the 
very 
& 
