102 
The Inverse Method of Central Forces. 
Communicated by Dr. Hoime, 
The following Scholium and Proposition are here 
introduced by way of Addenda to the paper on the 
Inverse Method of Central Forces, given vol. iv. page 
369, of these Memorrs, with which they have an 
intimate connection; as the proposition leads, in a 
different manner, to a conclusion given in the gth 
section of the Principia, and as both may yield 
some amusement to those who are versed in these 
abstract enquiries. 
SCHOLIUM TO PROP. III. 
If the force which varies as the q power of the 
distance reciprocally, act from the centre; or, which 
is the same thing, ¢ be negative, then p°= 
m P* y*-* 
” 5a Aes 22 
y’'. At the distance y from the centre, the two 
ie CTE as . 
forces become —, and — which being made e- 
'g j 
qual to each qther, the value of y will be determin- 
ed, where the curve will have a point of contrary 
a a ee 
DO ete eo gt ORS 
