I 321 ] 
thor has fo juftly acquired by his other Writings. For 
dt is wrote with the fame Genius and Acumen , it 
explains the Principles of his Method of Fluxions 
with great Clearnefs and Accuracy, and applies 
thofe Principles to very general , and fcientifical Spe- 
culations in the higher Geometry. And farther to 
explain this Work, and to fupply fuch Things, for 
the Ufe of common Readers, which the Author, ac- 
cording to his ufual Brevity, has often omitted j the 
Tranfiator has thought fit to give us a Comment on 
a good Part of the Work, and lias promifed. the reft 
at a proper Seafon. His Fitnefs for fuch an Under- 
taking is well known to the learned World, into 
which he was many Years ago introduced by a very 
good Judge, as a Perfon who was uconditioris Ana - 
lyfeos peritijjimus . 
This Text may very well be divided into three 
Parts: An Introduction, containing the Method of 
Infinite Series j The Method of Fluxions and Fluents $ 
and laftly, The Application of both to the moft eon- 
fiderable Problems of the higher Geometry. The 
Comment confifts of very valuable and curious An- 
notations, Illuftrations, and Supplements, in order to 
make the whole a compleat Inftitution for the Ufe 
of Learners. I fhall take a kind of comparative View 
of the Text and Comment together. 
The great Author, in what is called the Introdudi- 
vOn, teaches the Rudiments of his Method of Infinite 
Converging Series, which is preparatory to that of 
Fluxions. In this he fhews how all Compound Alge- 
braical Quantities may be refolvedinto Series of ilmple 
Terms, which will converge to thofe compound 
Quantities, or rather to their Roots 5 juft as in com- 
T t mon 
