Dr. waring on Interpolations. 67 
tiplied into any dimension of x not equal to m will be 
= o; but the fura of all the fractions multiplied into x m 
will be = 1 : from this propofition the theorem is eafily 
deduced. 
I have invented and demonftrated from different prin- 
ciples to the preceding the firft part of this theorem, a 
particular cafe of which was publifhed by me many years 
ago. 
From this theorem may eafily be deduced feverai 
others of a fimilar nature. 
K a 
