Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/76

66  the Particle Lm. And in general, as the Iochronal Velocities decribing the Particles of MN exceed the Iochronal Velocities decribing the Particles of LM, even o the Particles of the former exceed the correpondent Particles of the latter. And this will hold, be the aid Particles ever o mall. MN therefore will exceed LM if they are both taken in their nacent States: and that exces will be proportional to the exces of the Velocity b above the Velocity a. Hence we may ee that this lat account of Fluxions comes, in the uphot, to the ame thing with the firt.

XLII. But notwithtanding what hath been aid it mut till be acknowledged, that the finite Particles Lm or Mp, though taken ever o mall, are not proportional to the Velocities a and b; but each to a Series of Velocities changing every Moment, or which is the ame thing, to an accelerated Velocity, by which it is generated, during a certain minute Particle of time: That the nacent beginnings or evanecent endings of finite Quantities which