5»74 Mr. landen’s new. 'Theory of 
that point as varied with a greater or lefs velocity than, 
(e) that of the point m ; that is, with reference to fuch 
circle we have always confidered the point m as the point 
of action. But it is obvious, that, cateris paribus y the 
point of adtion with refpedt to the mid-circle (which 
point we will now denote by q) may be varied with a 
velocity greater or lefs than e\ and that, cater is paribus, 
the velocity ( v ) of the momentary pole will be the fame 
with what velocity foever (y) the point of adtion of the 
force F be varied; the diredtion in which that force adts 
being always at right angles to the ray (/y) from the 
center of the fphere, and to the tangent to the curve de- 
fcribed by (y) fuch point of adtion. 
Yet, although v continues the fame whether, cateris 
paribus , (u) the velocity of the point y be greater, equal 
to, or lefs than e , the immoveable circle in which the 
momentary pole will be found will not continue the 
fame ; that circle being greater, equal to, or lefs than the 
circle whofe radius is vV-y 2 according as u is lefs, equal 
to, or greater than e % as will be made more evident by 
what follows. 
/ * ' 
6. Fig. 5 . Let p (in the great circle R p Q.y t) be one 
of the poles of the axis about which the fphere rstv, 
whofe radius is r, is revolving (according to the order of 
the letters v y s) with the angular velocity e % meafured at 
