[ 4° 6 ] 
Let B be any other Quantity whofe relation to A 
can be exprefTed by any Algebraic Form } and while 
A increases by equal fuccefllve Differences, fuppofe 
B to increafe by Differences that are always varying. 
In this Cafe, B cannot be fuppofed to increafe at any 
one conftant Rate ; but it is evident, that if B increafe 
by Differences that are always greater than the equal 
fuccefllve Differences by which — increafes at the 
fame time, then B cannot be faid to increafe at a lefs 
Rate than — $ or if the Fluxion of A be reprefented 
by a , the Fluxion of B cannot be lefs than And 
if the fuccefllve Differences of B be always lefs than 
thofe of > then furely B cannot be faid to in- 
n 
creafe at a greater Rate than — ;> or the Fluxion of 
B cannot be faid to be greater in this Cafe than — • 
From thofe Principles the primary Propofitions in 
the Method of Fluxions, and the Rules of the dired 
Method, with the fundamental Rules of the inverfe 
Method, are demonftrated. We muft be brief in our 
Account of the Remainder of this Book. The Rule 
for finding the Fluxion of a Power is not deduced, 
as ufually, from the Binomial Theorem, but from 
one that admits of a much cafier Demonflration from 
the firft Algebraic Elements, m. That when n is 
any integer pofitive Number, if the Terms E n ~' l > 
E n ~ z F y E n —T>F z y E n ~*F 3 y .... F n ~ l y (wherein the In- 
dex of E conftantly decreafes, and that of F increafes 
by the fame Difference Unit) be multiplied by 
E — F y the Sum of the Produds is E n — - F n 5 from 
which it is obvious, that when E is greater than F y 
then 
