C 763 ] 
we (hall have - 4 ^ f — 4 , &c, 
m m -J- 1 m + 2 wz + 3’ 
— i;X H, Log. I x ‘ 
X + T * 2 > &C. 
Ill 
</v */V 
which value, let px, qx , &c. be, fucceffively, 
fubdituted for x (according to prefcript) neglecting 
X | - — 
intirely the terms ^ — , as having no effect at all 
x" 
in the refult : from whence we get — 
px 
X Log. 
Los> 1 
' X -=71 X Log. 
rx 
1 — rXy &c. Which multiplied by x m (the quantity 
that before divided) gives — — x Log. 1 — px 
- — x Log. 1 — qx x Log. 1 — rx. Sec. =s 
q^i o j. y,m o ' 
j[ 
n times the quantity required to be determined. 
But now, to get rid of the imaginary quantities <7, 
r , See. by means of their known values a + ✓ aa — I , 
a. — V aa — I, &c. it will be neceffary to obferve, 
that, as the product of any two correfponding ones 
{a ~b s/ aa — i x a ~ * \/ aa — i ) is equal to unity, 
we may therefore write cc — \/aa — ir (= r m ) in- 
dead of its equal — , and «, + V aa — ( = q m ) 
% 
indead of its equal ~ : by which means the two 
5 E 2 terms, 
