y6 Mr. Knight on the Expansion 
by means of which equation we may find B from B , Here, 
m,n m—i,n 
as usual, we must omit, in the successive fluxional coefficients, 
all terms containing quantities whose fluxions have been fac- 
tors in the preceding terms of the formula. Let us, for an 
example, find B from B given in the last article ; we have 
3,1 2,1 
18. We may also derive from equation (v) the following 
simple 
Rule. 
To find B , take the fluxion of B with respect to all the quan- 
m,n m—\,n 
titles ; change, every where , into and take the fluent with 
respect to this last . The sa?ne terms must he kept only once, c 
is c . 
0 o 3 o 
By this rule we frequently find the same terms more than 
once, which disadvantage is, however, more than compensated 
by its shortness, and the ease and simplicity of the process. 
