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

18 XI. The Points or meer Limits of nacent Lines are undoubtedly equal, as having no more magnitude one than another, a Limit as uch being no Quantity. If by a Momentum you mean more than the very initial Limit, it mut be either a finite Quantity or an Infiniteimal. But all finite Quantities are exprely excluded from the Notion of a Momentum. Therefore the Momentum mut be an Infiniteimal. And indeed, though much Artifice hath been employed to ecape or avoid the admiion of Quantities infinitely mall, yet it eems ineffedtual. For ought I ee, you can admit no Quantity as a Medium between a finite Quantity and nothing, without admitting Infiniteimals. An Increment generated in a finite Particle of Time, is it elf a finite Particle; and cannot therefore be a Momentum. You mut therefore take an Infiniteimal Part of Time wherein to generate your Momentum. It is aid, the Magnitude of Moments is not conidered: And yet thee ame Moments are uppoed to be divided into Parts. This is not eay to conceive, no more than it is why we hould take Quantities