of Central Forces. 397 
2m , ‘ 
xX r, becaufe = s*. It is evident from 
f} n— { j 
-infpection, that ~ muft be greater than 3 and m 
greater than unity; the force therefore muft 
vary in an higher proportion than the cube of 
the diftance inverfely. . If the body defcend © 
pris mutt be 
‘greater than unity. If it afcend, then 1—3 
from the point v, then s* = 
muft be greater than x—1  s* —®, and there- 
fore s*, and confequently s, lefs than unity. 
From the above equations and _ obfervations, 
we have the following conftruction. (Fig. 7.) 
-Let C be the centre of force, V the point from 
which the body is projected in the dire@tion V P, 
which makes an acute angle with CV, and 
with a velocity greater than would make it 
move in the circle vzu if projected at right 
angles. With the centre C and radius Ca = 
i 
n—1 hese | 
xr defcribe the circle add, 
N—1, 5° —9 
and from C upon V P let fall the perpendicular 
au—1 
CP, making it equal to 
from what has been determined in this Scholium, 
it will be evident, that the body will move in 
the 
