Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/80

70 may be eaily conceived, in Lines, in Surfaces, in Species, to be continued without end or limit. But it will not be found o eay to conceive a Series, either of mere Velocities or of mere nacent Increments, ditinct therefrom and correponding thereunto. Some perhaps may be led to think the Author intended a Series of Ordinates, wherein each Ordinate was the Fluxion of the preceding and Fluent of the following, i. e. that the Fluxion of one Ordinate was it elf the Ordinate of another Curve; and the Fluxion of this lat Ordinate was the Ordinate of yet another Curve; and o on ad infinitum. But who can conceive how the Fluxion (whether Velocity or nacent Increment) of an Ordinate hould be it elf an Ordinate? Or more than that each preceding Quantity or Fluent is related to its Subequent or Fluxion, as the Area of a curvilinear Figure to its Ordinate; agreeably to what the Author remarks, that each preceding Quantity in uch Series is as the Area of a curvilinear Figure, whereof the Abcis is z, and the Ordinate is the following Quantity. XLVII. Upon