^c6 Mr. Wildbore on 
rad. = I : the alteration of the place of Q round B, or in the 
&—*(3 
^/ 5 a + S a 
= the 
great circle AC = AQ : : f. BO= t g'=v / ,o -fo' : 
momentary alteration of place of O round B, or in a direction 
perpendicular to the great circle BOQ at O, and the cor- 
• • • 
refponding alteration of BO, that is, BO= — — vjL. ~ =* — - , 
the fluxion therefore of the track of O upon the fpherical 
hz]z— 20&UPP + V* /,3 2 k- + 
furface = \j = \J WZF~ 
4 
g 
-f 3 2 y 2 -f 1 2 y 2 -\-B 2 B 2 + 2$Soi-b c 2 i 5 
2 i 2 
/ 5 a + 
V^’+/ 3 2 + 7 • Again, 
the accelerating force in BA = - refolved into the direction of 
the great circle BO at B is ^ x cof. OBR =" * - , and that 
g 
• ^ 
~ along BC refolved into the fame diredtion is r x - , and the 
t t g 
difference of thefe, or the accelerating force in the direction 
BO in the fenfe from O towards B = — ~t — — _ — 
i* g* 
0 *— t 
e x — — ; in like manner that along CO in the fenfe from O 
<b 
towards C =: = e 
dt 
c>v — 
X 
yB — By 
dt 
$y—~y$ 
and that along OA from O 
towards A = y e x - y J — ; and as f.ROA (fig. 3.) —f, CO A 
— y d : 3 :: this laft mentioned force : ae x one equiva- 
lent thereto, but adting perpendicular to CO, and urging from 
O, that is, drawing the great circle DOE perpendicular to 
then, as 1 : f. DOC = f. ROE = " :: this laft force : the 
fame 
