[ 3*3 ] 
pofitive in the one, and all negative in the other. It 
will further appear from confidering thefe feriefes, that 
the firft muft continue lefs than the fecond ’till z be- 
comes fo large as to make the fourth term equal to 
the fecond, in which circumftances the two feriefes 
are nearly equal. Afterwards, as z goes on to in- 
creafe, the value of both leflens continually ; but the 
fecond now decreafing failed:, as before it increafed 
failed:, becomes firft nothing. After which, the 
other feries becomes nothing j and after that* both 
remain negative. From hence it is eafy to infer this 
Article. 
1 6 . What has been now fhewn of the ratio of the 
-p 
72 * Z 2 
I - 
P 9 
i — 
n z 
P 
- ~r 
2 to the fluxion of i -j- ~| x 
compared with the ratio of the fluxion of 
X i -f- — 1 to the fluxion of i 
9 1 
I - 
n z 
P 9 1 
n z z 2 
pq j" ( or in the figure) to the fluxion of 
a ~+ Z Y X 6 — z } 7 ( orF t) compared with the ratio 
of the fluxion of a—zYxf +£* (or C /) to the 
fluxion of // X I - qf!'; or Q/, the latter quan- 
tities being only the former multiplied by the com- 
mon and permanent quantity <? b\ It appears, 
therefoie, that if we conceive F t, Q t C f (Vid 
Vol.LIV. SC ^ Fig.) 
