Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/60

50 introduced? Is it not to hun or rather to palliate the Ue of Quantities infinitely mall? But we have no Notion whereby to conceive and meaure various Degrees of Velocity, beide Space and Time, or when the Times are given, beide Space alone. We have even no Notion of Velocity precinded from Time and Space. When therefore a Point is uppoed to move in given Times, we have no Notion of greater or leer Velocities or of Proportions between Velocities, but only of longer or horter Lines, and of Proportions between uch Lines generated in equal Parts of Time.

XXXI. A Point may be the limit of a Line: A Line may be the limit of a Surface: A Moment may terminate Time. But how can we conceive a Velocity by the help of uch Limits? It necearily implies both Time and Space, and cannot be conceived without them. And if the Velocities of nacent and evanecent Quantities, i. e. abtracted from Time and Space, may not be comprehended, how can we comprehend and demontrate their Propor-