Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/61

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The Analyst.
51

Proportions? Or conſider their rationes primæ and ultimæ. For to conſider the Proportion or Ratio of Things implies that ſuch Things have Magnitude: That ſuch their Magnitudes may be meaſured, and their Relations to each other known. But, as there is no meaſure of Velocity except Time and Space, the Proportion of Velocities being only compounded of the direct Proportion of the Spaces, and the reciprocal Proportion of the Times; doth it not follow that to talk of inveſtigating, obtaining, and conſidering the Proportions of Velocities, excluſively of Time and Space, is to talk unintelligibly?


XXXII. But you will ſay that, in the uſe and application of Fluxions, Men do not overſtrain their Faculties to a preciſe Conception of the abovementioned Velocities, Increments, Infiniteſimals, or any other ſuch like Ideas of a Nature ſo nice, ſubtile, and evaneſcent. And therefore you will perhaps maintain, that Problems may be ſolved without thoſe inconceivable Suppoſitions: and that, conſequently, the Doctrine of Fluxions, as to the prac-

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