- 
NTE oe WE Inve ‘Mittod 
feribed by the Bbaiy, or its diftance from. mc 
centre of force.. This. expreflion, it may ‘be 
obferved, is not affected by the value of x. Hence . 
if the value of z be determined upon the above 
fuppofition, the afymptotes to the _ trajectory 
may eafily be drawn. 
' If m_be lefs than unity, andy infinite, then 
1 Aten x P 
p ae gsr opt therefore the curve has not 
an afymptote. Laftly, if m= 1, the perpen- 
dicular upon the afymptote will be infinite. 
~ In all thefe cafes the body may defcend to the 
centre, if x be greater than. unity; becaufe in 
that cafe, when y=o0, p=o. But if x be lefs 
than unity, the body can only arrive at the 
centre in a ftraight line. For the equation 
Vie pt 
See Fe 
= A ss a Ae , becomes p = 
yo + m—1 
i—7 
m Pr . . ° 
lms 195 ; in which cafe, when y= 0, 
“ V 7X Satay 8 
the value of p is pofitive, infinite, or impof- 
fible, unlefs P at the fame time be equal to 
nothing. But it is evident that p can never be 
greater than y. 3 
It will likewife ‘eafily appear, that when — 
“naa, the body may defcend to the centre; 
. > <f08 
