received Principles it is evident, that no Geometrical Quantity, can by any diviſion or ſubdiviſion whatſoever be exhauſted, or reduced to nothing. Conſidering the various Arts and Devices uſed by the great Author of the Fluxionary Method: in how many Lights he placeth his Fluxions: and in what different ways he attempts to demonſtrate the ſame Point: one would be inclined to think, he was himſelf ſuſpicious of the juſtneſs of his own demonſtrations; and that he was not enough pleaſed with any one notion ſteadily to adhere to it. Thus much at leaſt is plain, that he owned himſelf ſatisfied concerning certain Points, which nevertheleſs he could not undertake to demonſtrate to others[1]. Whether this ſatisfaction aroſe from tentative Methods or Inductions; which have often been admitted by Mathematicians, (for inftance by Dr. Wallis in his Arithmetic of Infinites) is what I ſhall not pretend to determine. But, whatever the Caſe might have been with reſpect to the Author, it appears that his Followers have ſhewn themſelves more eager in ap-
