[ 555 ] 
hyp. log. -f hyp. log. a; + hyp. log. — i = 
+ hyp. log. — j --, b being put for - , 
1 x V — i 
and X for the hyp. log. of x. 
It is evident, therefore, that 
Hyp. log. — — is = X 2^ — X-f x~ l + - {-- — , &c. 
J y D l-* 1 2. 3 
■where, of the two figns prefixed to 2 b , the upper 
one takes place, when the hyp. log. of — i is taken 
equal to ~ 2 likewife when x is taken equal to 
v — I 
i ; and the lower one takes place, when the 
hyp. log. of — i is taken equal to alfo when 
v — I 
x is taken equal to : wherefore, if we obferve 
to take the value of hyp. log. of — i, as lad; men- 
tioned, and x equal to — 1 , inftead of s/ — i, we 
v — I 
need retain only the lower of the faid figns. 
For brevity fake, we fhall, in what follows, put 
the feries i + ~ ^ &c. = P, 
+ ± + &c. =P, 
1 4" Th -f —< 5 + -Tol 
2 3 4 
&c. 
I + J. + f, + jv &C. 
Vol. LI. iC 
vx 
= p, 
&c. 
II 
i — 
