538 Mr. Wildbore on 
their own proper tracks in abfolute fpace being then 
+ and 3 \J^-. And when V / with 
the above found velocity has pafled under Z, then the velo- 
city x becomes negative ; therefore, whilfi: the point Z is 
within the angle formed by AC and BC produced beyond C 
bothy and x are negative, till the great circle BC again eroding 
under Z at W', y is again = 0, and the velocity of the track 
under Z the fame as when W was under it, the correfponding 
velocities of the poles of the permanent axes being the fame 
alfo ; after which y will again become pofitive, x ftill conti- 
nuing negative during the time that Z is within the angle 
,BCW', till it again erodes BC at V, and x is again = o, and 
the velocities of the track and permanent poles the fame as 
when V / crofted under Z ; 'afterwards the point Z being within 
the o&ant ABC, the velocities x, y, and z„ will be all pofi- 
tive till W again comes under Z, and another revolution under 
Z begins, and fo on for ever. Moreover, the track being fup- 
pofed to crofs CA tind CB, when either W or W / is under Z, 
the velocity + C 2 of the pole B is the greateft poffible, 
being then =the greateft velocity that the fpherical furface any 
where has or can have ; and when V and V' are under Z, 
4 
c 2 + 
AST KeC 
B c = the velocity of the pole A is the fwifteft 
which it can have, being then = the greateft velocity which the 
fpherical furface any where has at that inftant, fuch velocity of 
the furface being then the leaf poffible. 
Moreover, fuppofing ftill the motion to begin when y— o, and 
= = B -> _ iv^AC 
By 
~U 
let 
