Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/77

Rh which are produced in Moments or infinitely mall Parts of Time, are alone proportional to given Velocities: That, therefore, in order to conceive the firt Fluxions, we mut conceive Time divided into Moments, Increments generated in thoe Moments, and Velocities proportional to thoe Increments: That in order to conceive econd and third Fluxions, we mut uppoe that the nacent Principles or momentaneous Increments have themelves alo other momentaneous Increments, which are proportional to their repective generating Velocities: That the Velocities of thee econd momentaneous Increments are econd Fluxions: thoe of their nacent momentaneous Increments third Fluxions. And o on ad infinitum. XLIII. By ubducting the Increment generated in the firt Moment from that generated in the econd, we get the Increment of an Increment. And by ubducting the Velocity generating in the firt Moment from that generating in the econd, we get the Fluxion of a Fluxion. In like manner, by ubducting the Difference of Rh