[ 557 ] 
x-' — &c. the value of F 
X 
in art. y. when both feries converge. 
Therefore, X -±X 2 + £±fl + &c. 
is then = 2 P -j- lbX — — . 
2 
From which equation, by taking x equal to — 1, 
we have t + *t — — + ~ , &c. = P \ b z — 
1 2* 3 4 
II ^ j 
P — a 1 ' 3 and, by taking x equal to we have 
v — 1 
— + — 
I* * 2 1 
4 + 4 — » — 4 ? + i — 
3 4 
4P — ja 2 . 
Therefore 4P — 3 a 1 is = P — a 1 : 
II 
Hence P is found = 
2 a 
Moreover ^ + i + being = P> by 
1^34 
fuppofition ; and — ~r+ ~ 
II 
P • — a z , as found above ; we, by fubtradlion, get 
~r + + “*> (= 2 Qj = a 2 , and, confe- 
II 
quently Qj= — . 
Scholium. 
The hyp. log. of q-^ being = at + ^ + ~, Gfa 
we, by writing 1 — ■ x in dead of x, have 
4 C 2 Hyp. 
