554 
2 2 I 2-2 
a x “j-c 2, 
Mr. Wildbore on 
, hence cof. OZ — f. BO X f* BZ x cof. + • 
cof. BO X cof. BZ = X « v^V + cV x cof. Q? + * x i 
**>==■ x (^+cv+y/)i j vSiqSr ’ the very fame 33 
before, proving the truth of the fuppofition. And by the 
nature of the motion as rad. — i • s •• cof. OZ — f. OY . 
a*3 z + f €* _ velocity of the moving fpherical furface 
yVa 2 +< 4 4!V 
at Y. Now, it does not appear, that there is any one 
point upon the varying great circle ZOY, which (in general) 
continues always the fame or invariable upon the moving 
fpherical furface, to find therefore the path of O about Z m 
abfolute fpace, it is neceffary to confider, that the point O, where- 
foever upon the fpherical furface it is found, can have but one 
proper direction of motion and velocity with which it fhifts its 
place ; thofe therefore in abfolute fpace, and on the moving 
furface, mull neceffarily be the fame, and confequently the 
two tracks, viz. that on the moving furface, and that on the 
fixed one or about Z in abfolute fpace, muff in all cafes 
neceffarily touch and roll. The fluxion of the track of O being 
sfr+f+i-- > a " a thevd °' 
A*CVs* * _ C 2 -AB< 2 Px«* r y 
» ° = » & 
vi 
«v 
— BCV , AC ^ 
5 * ~ ~7~ 
e 7 — % 
p. $ 2 — ^ 2 ~~ Xg2 ~ tf _ iQ 2 — 1 ; hence 
, 2 /OZ 
<g !, ~BCx/+s 2 ) x (3 I --BCxe 3 
3 
- BC>P— , _ BG 
xj 
/ 
