Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/59

Rh but it mut alo obtain in finite Quantities, be they ever o great, as was before oberved.

XXX. It eems therefore upon the whole that we may afely pronounce, the Concluion cannot be right, if in order thereto any Quantity be made to vanih, or be neglected, except that either one Error is redreed by another; or that econdly, on the ame Side of an Equation equal Quantities are detroyed by contrary Signs, o that the Quantity we mean to reject is firt annihilated; or latly, that from the oppoite Sides equal Quantities are ubducted. And therefore to get rid of Quantities by the received Principles of Fluxions or of Differences is neither good Geometry nor good Logic. When the Augments vanih, the Velocities alo vanih. The Velocities or Fluxions are aid to primò and ultimò, as the Augments nacent and evanecent. Take therefore the Ratio of the evanecent Quantities, it is the ame with that of the Fluxions. It will therefore anwer all Intents as well. Why then are Fluxions Rh