106. The Inverse Method of Central Forces. 
Mage ss. ‘ 
i= 
yn oe Cc x ae lag n) ; " 
gq 
—————————— , writing M here instead of 
and pr = 
m in Prop. 3d. Hence, by substitution and reduc- 
‘ il Mm 
tion, Fe i Gc ce ree aT ET 
mM—1+y—mr Liye ye 
Fe ili 
M — 1 — 6+ xy? +o + er yt 
q—1 q—1 
ee ae, Oh n—1 a ata Ar 
Py" — mr. But m = x sand M = 
2 
Mw—iti + Cc 
2 
therefore F? ¢ G? $+ 
+ S* (writing S, for s, in Prop. gd), 
Se 
(n—1+5°—2) X p—n—1+ SP +a yr 
+ i+c+ S 
; Gite n—1 
2 2 
re RAL eer ene, | cag y+ 
i——i q 
2C* bY ial rte SR Pr— Nl —141 4-64 
we 
, which is general, whatever be the values of x 
We xy? 
and g, s and S. 
Cor. 1. Ifg= 3, then P+ G33 
Ga 
MU—-1+s*—2 £9 ae Base ace + Ryo) gi 
