[ 298 ] 
A RT. i. If the curve A D H be divided into 
two parts by the ordinate D h making A h to 
H h as p is to q ; then taking a = — and b = - the 
P + 1 
ratio of the Area ADb to HO will be fJLi! * 
P+ 1 
p q * q -ixp' 
1 +7TI x ?^ + 2X / > + 3 x ? a /> + 2X/> + 3 x / > + 4 x ? 3 
p + 1 + 
'4- tfc. For the feries * :_!+ — * LJLL — 
p + 1 P + p + 2 
4- ©V. in Prop. 1 10. Art. 2. of the Effay, which ex- 
press the ratio of A Cf to H O, becomes this feries 
, s, — p A r — — • that is when 
when x -=za —•> o — r — , 
Cf 
