Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/28

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18
The Analyst.

XI. The Points or meer Limits of naſcent Lines are undoubtedly equal, as having no more magnitude one than another, a Limit as ſuch being no Quantity. If by a Momentum you mean more than the very initial Limit, it muſt be either a finite Quantity or an Infiniteſimal. But all finite Quantities are expreſly excluded from the Notion of a Momentum. Therefore the Momentum muſt be an Infiniteſimal. And indeed, though much Artifice hath been employed to eſcape or avoid the admiſſion of Quantities infinitely ſmall, yet it ſeems ineffedtual. For ought I ſee, you can admit no Quantity as a Medium between a finite Quantity and nothing, without admitting Infiniteſimals. An Increment generated in a finite Particle of Time, is it ſelf a finite Particle; and cannot therefore be a Momentum. You muſt therefore take an Infiniteſimal Part of Time wherein to generate your Momentum. It is ſaid, the Magnitude of Moments is not conſidered: And yet theſe ſame Moments are ſuppoſed to be divided into Parts. This is not eaſy to conceive, no more than it is why we ſhould take

Quantities