Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/17

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The Analyst.
7

And ſuch Velocities are called Fluxions: and the Quantities generated are called flowing Quantities. Theſe Fluxions are ſaid to be nearly as the Increments of the flowing Quantities, generated in the leaſt equal Particles of time; and to be accurately in the firſt Proportion of the naſcent, or in the laſt of the evaneſcent, Increments. Sometimes, inſtead of Velocities, the momentaneous Increments or Decrements of undetermined flowing Quantities are conſidered, under the Appellation of Moments.


IV. By Moments we are not to underſtand finite Particles. Theſe are ſaid not to be Moments, but Quantities generated from Moments, which laſt are only the naſcent Principles of finite Quantities. It is ſaid, that the minuteſt Errors are not to be neglected in Mathematics: that the Fluxions are Celerities, not proportional to the finite Increments though ever ſo ſmall; but only to the Moments or naſcent Increments, whereof the Proportion alone, and not the Magnitude, is conſidered. And of the aforeſaid Fluxions

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