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

 Proportions? Or conider their rationes primæ and ultimæ. For to conider the Proportion or Ratio of Things implies that uch Things have Magnitude: That uch their Magnitudes may be meaured, and their Relations to each other known. But, as there is no meaure 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 invetigating, obtaining, and conidering the Proportions of Velocities, excluively of Time and Space, is to talk unintelligibly?

XXXII. But you will ay that, in the ue and application of Fluxions, Men do not overtrain their Faculties to a precie Conception of the abovementioned Velocities, Increments, Infiniteimals, or any other uch like Ideas of a Nature o nice, ubtile, and evanecent. And therefore you will perhaps maintain, that Problems may be olved without thoe inconceivable Suppoitions: and that, conequently, the Doctrine of Fluxions, as to the