| QUADRATURE of the CONIC SECTIONS, &c. 351 
61. THAT we may inveftigate a fecond feries, we muft take 
the {quare of the formula, (Art. 58.), which will be 
ey axe ea 
From this expreffion, proceeding exactly as in Art. 58. we form 
the following feries of equations, 
(a= Ty 4 (x? — 1) un? al I 
(x? +1)" (w* +1) eh 
= . +4 (.—) +4, 
A(wi ty opty 4A Nae Ah 
(x? + 2)? (x? ++ 1) ig: emt 
€@%—1) etary + Nb 4d Way 
2 : & 
4(« +1) (x" + 3)" rst at 
tae Ee et (ig y+ a 
mm (x"—1) © m(x"—1) x” va I 
Here n denotes the number of equations, and m is put for 2”. 
Let the fum of the correfponding fides of thefe equations be ta- 
ken, and the quantities common to each rejected, as ufual, and 
Vou. VI.—P. II. ; Te the 
