Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/29

 Quantities les than A and B in order to obtain the Increment of AB, of which proceeding it mut be owned the final Caue or Motive is very obvious; but it is not o obvious or eay to explain a jut and legitimate Reaon for it, or hew it to be Geometrical.

XII. From the foregoing Principle o demontrated, the general Rule for finding the Fluxion of any Power of a flowing Quantity is derived. But, as there eems to have been ome inward Scruple or Conciounes of defect in the foregoing Demontration, and as this finding the Fluxion of a given Power is a Point of primary Importance, it hath therefore been judged proper to demontrate the ame in a different manner independent of the foregoing Demontration. But whether this other Method be more legitimate and concluive than the former, I proceed now to examine; and in order thereto hall premie the following Lemma. "If with a View to demontrate any