Quantities leſs than A and B in order to obtain the Increment of AB, of which proceeding it muſt be owned the final Cauſe or Motive is very obvious; but it is not ſo obvious or eaſy to explain a juſt and legitimate Reaſon for it, or ſhew it to be Geometrical.
XII. From the foregoing Principle ſo demonſtrated, the general Rule for finding the Fluxion of any Power of a flowing Quantity is derived[1]. But, as there ſeems to have been ſome inward Scruple or Conſciouſneſs of defect in the foregoing Demonſtration, and as this finding the Fluxion of a given Power is a Point of primary Importance, it hath therefore been judged proper to demonſtrate the ſame in a different manner independent of the foregoing Demonſtration. But whether this other Method be more legitimate and concluſive than the former, I proceed now to examine; and in order thereto ſhall premiſe the following Lemma. "If with a View to demonſtrate any
- ↑ Philoſophiæ naturalis principia Mathematica, lib. 2. lem. 2.
