Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/75

Rh Fluxions of a given Quantity, it might be more conitent and les liable to exception to ay, the Fluxion of the firt nacent Increment, i. e. the econd Fluxion; the Fluxion of the econd nacent Increment, i. e. the third Fluxion; the Fluxion of the third nacent Increment, i. e. the fourth Fluxion, which Fluxions are conceived repectively proportional, each to the nacent Principle of the Increment ucceeding that whereof it is the Fluxion.

XLI. For the more ditinct Conception of all which it may be conidered, that if the finite Increment LM be divided into the Iochronal Parts Lm, mn, no, oM; and the Increment MN into the Parts Mp, pq, qr, rN Iochronal to the former; as the whole Increments LM, MN are proportional to the Sums of their decribing Velocities, even o the homologous Particles Lm, Mp are alo proportional to the repective accelerated Velocities with which they are decribed. And as the Velocity with which Mp is generated, exceeds that with which Lm was generated, even o the Particle Mp  Rh