SurvhorjhtpSi 
2 5 l 
m t/ nu.c' + c" & _ ^ x f^' + !L^ + !L^ + &C.--4- X 
— -t 7 tCCC 3^c r -1- r * ^ r 3 2 flier 
»/.c' + r" 4._5_ x — + ^- L ^- + ^T"+ & c - x — T- x 
7 + OCC. -f- r + r 2 T A 2 <^<rr 
h 
r 
”J_i£ + °. u : ?+Jl + & c The firft Four feries are refpeaively = 
r r 
«g.HF . I + AB \ g.AF *.hb ^_ab ^ . The firft term of 
-ZT ^ 2 r J 2b 2 a 2 
the fifth feries, or is = ^ * tg ~ «& » t * ie k 0011 ^ term 
„ r msc " “ 8 x f!i _ ms ' c ~‘ : ' + f ' _ fh . . . . the third term, 
or-T’ % -ft 
»*"' : 3 _ ■* x « . 1 ^L±£+C_!!l^±^. Therefore 
or 7T» TFc 
*@ . HF — HFC/ otj/ 
the fum of the fifth and fixth feries is = g^r — V 
laber 1 
nt • f' + t" ^& c= '\^_.LxAB — ABC. In the fame manner the 
3 ' J y 
@ - r ~ — a TA 7"' mtc * 
feventh feries may be found — gr x AF ~ AFC 
baber 2 
& c ■ an d confequently the fum of the feventh and 
Oabcrl ___ 
•eighth feries is = *i*^££* A S ain > the llinth and 
3 * r 
f , «.HB-HBC/ »«' at . t' + f" 
tenth feries may be found - - ^ ‘ { ~ 
baber 2 baber 3 
&c. = ; and the eleventh and twelfth or two 
t>£r 
laft feries, = 
&c.=) 
ms . PN — PNC 
AB — ABC / ntc’ t uo.c'+c" 
3 V baber 2, baber 3 ^ ^ 
If all thefe expreffions be added together, we (hall have the 
. $ a . HF -f {HFC A t? . I A FP 
ue of the given fum - S into ~ b x - — ■ Al + * 
3 * 
LI 2 
