but it muſt alſo obtain in finite Quantities, be they ever ſo great, as was before obſerved.
XXX. It ſeems therefore upon the whole that we may ſafely pronounce, the Concluſion cannot be right, if in order thereto any Quantity be made to vaniſh, or be neglected, except that either one Error is redreſſed by another; or that ſecondly, on the ſame Side of an Equation equal Quantities are deſtroyed by contrary Signs, ſo that the Quantity we mean to reject is firſt annihilated; or laſtly, that from the oppoſite Sides equal Quantities are ſubducted. 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 vaniſh, the Velocities alſo vaniſh. The Velocities or Fluxions are ſaid to primò and ultimò, as the Augments naſcent and evaneſcent. Take therefore the Ratio of the evaneſcent Quantities, it is the ſame with that of the Fluxions. It will therefore anſwer all Intents as well. Why then are Fluxions
