QUADRATURE of the CONIC SECTIONS, &c. 274 
and fo on, From which it follows, that 
T(m 
T(m42) > coe T(m+t1), 
Gn i} 
Tena 3) > py? Tengah 
Tm 
T(m+4) > a ram Tom 43)s 
&e. 
HENCE, faking the fum of the quantities on each fide of the 
fign >, and putting S for 
T(m42) + T(m4 3) + Dente) +, es 
we get. 
S> Tony (Toss) +8). 
pp hei s— caps: S> = and \confequently by ao 
eqs \' 
my, 4] 
} 
sagt 125109 Byets) omg) of 
Nay ea ees 
Tm) — T(m41) (ee 
ue elit it appears, that the-fum of all the terms following 
any- afligned | term. after the third, is greater than a third pro- 
portional to.the difference, of the, two, terms immediately be- 
fore it and the latter of the two, But fince this limit will not 
differ much from: thé former, which is = Tet) it may be 
more conveniently exprefled thus) oj) 6) jy550 
om iorr eqing ele Tay AT mer pe) 
glimpses a Toe pe 2 
3 3 , 3(Tim—Tatn) 
Mm 2 which 
