54 
Mr. Knight on the Expansion 
tity, I represent the reverse of the operations denoted by the 
strokes over it)* and, in general, 
It is evident that we might find many other relations between 
the B’s and their fluxional coefficients ; but those I have given 
seem the most useful. 
4. By means of these equations, we may nnd n from H _ t in 
several ways. 
B 
First Method. If we substitute, in equation (2), for n _ 
find 
which values are got from equation (4), we 
This expression agrees with M. Arbogast’s first method, and 
affords the following rule. 
B B 
To find n from n _ l , take the fluxion of the latter , with respect 
, „ "...m _ 1) m 
to c, c, c, &c. and change generally c • into c x 
* Any number of strokes under a quantity will represent the depression of the 
fluxional coefficients of + (c) therein contained so many orders. 
