[ 3*6 1 
yropofed Fluxional Equation, by feveral ingenious 
Methods of Analyfis. And here it is chiefly, that he 
calls his Method of Infinite Series to his Ailiftance 5 
for the Fluent, or Root, will here always be exhi- 
bited by a Series. And to find the Fluent in finite 
Terms, when it can be done, requires particular Ex- 
pedients, as we {hall fee afterwards. 
Mr. Colfon in his Comment upon this Part of the 
Work is very full and explicit. He explains and 
applies the Author's particular Solution $ but is much 
more copious in explaining the Examples, and clear- 
ing up the Difficulties and Anomalies of the general 
Solution. This is chiefly perform'd by introducing 
feveral new and Ample Methods of Analyfis, or Pro- 
cefies of Refolution 5 and by applying the Author's 
Artifice of the Ruler and Parallelogram mention'd 
before, to thefe Fluxional Equations : By which means 
not only the Forms of the Series are determin'd, and 
their initial Approximations, as has been obferv'd 
above i but likewife all the Series may be found, that 
can be derived from the fame Fluxional Equation. 
The Commentator concludes by giving us a very ge- 
neral Method for refolving all Equations, whether 
Algebraical or Fluxional } which Method requires no 
foreign Affiftance, oj: no fubfidiary Operations, which 
all other Methods do. It is founded upon the Ufe 
and Admiffion of the higher Orders of Fluxions, and 
is exemplify 'd by the Solution of feveral ufeful Pro- 
blems. Here the Comment leaves us, but we will go 
on with our Author. 
Having thus taught us the Method of Fluxions, 
both dired and inverfe, he proceeds to apply this Me- 
thod to fome very curious and general Problems, 
chiefly 
