Mr. Wildeore on 
SCHOLIUM II. 
The velocity of the body in direftions of the peripheries of 
three great circles bounding an odfant of the fphencal furface 
which revolves with it, might have been referred to any other 
oflant befides that whofe angles, as in the preceding folution, 
are in the poles of the three permanent axes ; but then, befides 
the perturbating force arifing from the motion of the body 
about each of the three axes whofe poles are in the nodes of 
the great circles bounding luch octant, there will, pertaining 
to each circle, be another perturbating force, arifing from the 
non- equilibrium of the particles of the body in motion, in planes 
parallel to the plane of each circle, which being confidered 
would greatly perplex the operation. And hence arifes the 
neceffity for referring the motion to permanent axes, becaufe 
about them this laft-mentioned perturbating force vanifhes by 
reafon of the perfect equilibrium of the particles in motion 
round them; their property being fuch, that if the body begin 
to move fi triply round one of them, it muft uniformly con- 
tinue fo to do for ever. And if, as in the preceding propofition, 
the body be compelled to move round lome other axis, ftill 
during the elementary time /, notwithftanding that each of 
thefe axes or their poles has a proper motion of its own, yet 
the relative angular velocity, and confequently the inertia and 
motive force round each axis, will be the fame as if the body 
revolved with the fingle angular velocity x 9 y , or %, round 
only one of them, and confequently fuch velocity can have no 
power to alter itfelf ; but the equilibrium of the particles tends 
to preferve it, for the particles by their motion round one of 
thefe axes cannot alter the angular velocity about it ; but fuch 
o alteration 
