generation of the fluent, in case the fluxion be variable: But then, though a determinate degree of fluxion does not continue at all, yet, at every determinate indivisible moment of time, every fluent has some determinate degree of fluxion; that is, every generated quantity has every where a certain rate of increasing, a fluxion whose abstract value is determinate in itself, though the fluxion has no determined value for the least space of time whatever. To find its value then, that is, the ratio one fluxion has to another, is a problem strictly geometrical; notwithstanding the Right Rev. anti-mathematician has declared the contrary, in his hatred to mathematicians, and his ignorance of the true principles of mathematics.

If my Lord of Cloyne had been qualified to examine and consider the case of fluxions, and could have laid aside that unaccountable obstinacy, and invincible prejudice, which made him resolve to yield to no reason on the subject;—not to regard even the great Maclaurin's answer to his Analyst; — he would have discovered, that it was very possible to find the abstract value of a generated quantity, or the contemporary increment of any compound quantity. By the binomial theorem, the ratio of the fluxion of a simple quantity to the fluxion of that compound quantity, may be had in general, in the lowest terms, and as near the truth as we please, whilst we suppose some very small increment actually described: And whereas the ratio of these fluxions is required for some one indivisible point of the fluid, in the very beginning of the increment, and before it is generated, we make, in the particular case, the values of the simple increments nothing, which before was expressed in general: then all the terms wherein they are found vanish, and what is left accurately shows the relation of the fluxions for the point where the increment is supposed to commence. As the abstract value of the fluxion belongs only to one point of the fluent, the moments are made to vanish, after we have seen by their continual diminution, whither the ratio tends,

and what it continually verges to; and this becomes as visible as the very character it is written in.
But Dr. Berkley was unacquainted with mathematical principles, and out of his aversion to these sciences, and zeal for orthodoxy, cavilled and disputed with all his might, and endeavoured to bring the matter to a state unintelligible to himself, and every body else. —Here Maria had done, and for near a quarter of an hour after, I sat silently looking at her, in the greatest astonishment.
But