390 The Inverfe Method 
the roots are real, two being pofitive and one 
negative, which belongs to a part of the curve 
having its coneavity turned from the centre of 
force. 
eek ae 
if goers) ther pis — 
ee r 
# m—t1 
Sb is ee gf eat rPyy 
Loy yes ey see Eee eee 
oY ™m—t1 yar m r? 
IV » ——P’y* + 
vi eerees m—1 
and y* — 4 Pas <== 0, is the equa- 
tion for Betining che poe here, like- 
wife, mmay be greater than, equal to, or lefs 
than unity. The feveral parts of this curve 
might eafily be traced out when m is greater 
or lefs than unity, but notice will only be taken 
of that cafe in which m==1, or the body is 
projected with the fame velocity as it would 
acquire by falling from an infinite height. In 
this cafe p= 
the centre of force being in the circumference, 
32 
* 7 3 
and the diameter = > For, let C in the 
circumference of the circle AVC, be the centre 
of force, C.A the diameter (Fig, 5.) V the point 
from 
