Infinite Series . t tf 
In the given equation for y, x 9 and their fluxions fubftitute 
/+/, ^4 ^, and their fluxions, where the quantities / and^, 
&c. are aflumed, fo as to render the quantities/ and x', &c. 
very fmalh 
In finding the feries which exprefles the value of y in terms 
of v, there will always occur as many invariable quantities to 
be aflumed at will as is the order of the fluxional equation, 
provided the feries begins from its firft terms ; and to find them 
there will refult equations eafily reducible to homogeneous 
fluxional equations, of which the orders do not exceed m 0 
