I 322 ] 
mon Decimal Arithmetick, any complicate Number 
whatever, rational or furd, may be profecuted and 
exhibited to what Degree of Accuracy we pleafe, by 
decimal Parts continued in infinitum . And this ge- 
neral Arithmetick is here applied to the finding of the 
Roots of all kinds of Algebraical Equations, whether 
pure or affe&ed. 
And this Dottrine is carried on ftill farther by Mr. 
Colfion in his Comment. He purfues the Author's 
Hint, that vulgar Arithmetick and Algebra, decimal 
Fra&ions and infinite Series, have the fame common. 
Foundation, and compofe together but one Uniform 
Science of Computation. For, as in our vulgar Arith- 
metick, when rightly explain'd, we exprefs and com- 
pute all Numbers by the Root Ten , and its fevcral 
Powers and their Reciprocals, together with a Set of 
certain known and finall Coefficients $ fo in this more 
univerfal Arithmetick of Infinite Series, we do the 
fame thing in effect, by means of any Root afiiimed 
at Pleafure, its Powers and their Reciprocals, dilpofed 
in a regular defcending Order, together with any Co- 
efficients, as it may happen. And when thefe Series 
duly converge, they will as truly exhibit by their Ag- 
gregate the Quantity required, as a Decimal Fra&ion 
infinitely continued will approximate to its proper 
§lusefitum. This gives him Occafion to expatiate large- 
ly upon, the Nature and Conftru&ion of Arithmetical 
Scales, particular and general 5 and to inquire into the 
Nature and Formation of Infinite Series, and their 
Circumftances of Convergence and Divergency. To 
explain which he ffiews, that in every Series there is 
always a Supplement to be underftood, when it is not 
exhibited. This Supplement fums up the Series, and 
makes 
