[ 376 ] 
t - a c 0 k 
b' c 
And the following terms 
are ? * are 3 7 A 7 4 1 .9 9 
, , > T rtlc a * S' ii' a 9* 7 o 
’ a J 
But if a be 13, then the firfl fraction will be -HP 
JL • I 8 -\ i.1 6 4 9 3 3 3 8a A-?/- 
18 6« J > ‘ 180* Z t ¥T ^ 4 ' 
3. But if the fraction - be fuch, that — — -=tf, and 
if the fractions 7 , be taken, from which the fe- 
ries is to be formed, as has been defcribed ; then, if 
the firft fraction of the feries be made not -^butfome 
C 
fraction fuch that - d ^ l —a- y then fhall every term 
of the feries be fuch as the fraction i. e. the fquare 
of the numerator being increafed by an unit, and the 
fum divided by the fquare of the denominator, the 
quotient fhall be equal to a. 
For, fince bb — acc-\~ 1, and dd—ace — 1, by 
Prop. 6. ' it follows, that the next term ^ fhall be 
fuch, that a j and fo on for every term. 
££ 
Example. 
Let a = 2 - then will — = and ~= | 
c zz 2* a c 4 03 
let - = 1 j then 
e I 
LI i 
hoc** 
are 
and 
2 
3. 4 5 1 
And 
