tainly in any Senſe a ſecond or third Fluxion ſeems an obſcure Myſtery. The incipient Celerity of an incipient Celerity, the naſcent Augment of a naſcent Augment, i. e. of a thing which hath no Magnitude: Take it in which light you pleaſe, the clear Conception of it will, if I miſtake not, be found impoſſible, whether it be ſo or no I appeal to the trial of every thinking Reader. And if a ſecond Fluxion be inconceivable, what are we to think of third, fourth, fifth Fluxions, and ſo onward without end?
V. The foreign Mathematicians are ſuppoſed by ſome, even of our own, to proceed in a manner, leſs accurate perhaps and geometrical, yet more intelligible. Inſtead of flowing Quantities and their Fluxions, they conſider the variable finite Quantities, as increaſing or diminiſhing by the continual Addition or Subduction of infinitely ſmall Quantities. Inſtead of the Velocities wherewith Increments are generated, they conſider the Increments or Decrements themſelves, which they call Differences, and which are sup-
