the ſecond the Velocities of the ſecond Differences, the third Fluxions the Velocities of the third Differences, and ſo on ad infinitum. But not to mention the inſurmountable difficulty of admitting or conceiving Infiniteſimals, and Infiniteſimals of Infiniteſimals, &c. it is evident that this notion of Fluxions would not conſiſt with the great Author's view; who held that the minuteſt Quantity ought not to be neglected, that therefore the Doctrine of Infiniteſimal Differences was not to be admitted in Geometry, and who plainly appears to have introduced the uſe of Velocities or Fluxions, on purpoſe to exclude or do without them.
XXXIX. To others it may poſſibly ſeem, that we ſhould form a juſter Idea of Fluxions, by aſſuming the finite unequal iſochronal Increments KL, LM, MN, &c. and conſidering them in ſtatu naſcenti, alſo their Increments in ſtatu naſcenti, and the naſcent Increments of thoſe Increments, and ſo on, ſuppoſing the firſt naſcent Increments to be proportional to the firſt Fluxions or Velocities, the naſcent Increments of thoſe Increments to be propor-
