Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/72

62 Minds the things, which we uppoe to be ignified by them. To conider the Exponents, whether Geometrical, or Algebraical, or Fluxionary, is no difficult Matter. But to form a precie Idea of a third Velocity for intance, in it elf and by it elf, Hoc opus, hic labor. Nor indeed is it an eay point, to form a clear and ditinct Idea of any Velocity at all, excluive of and precinding from all length of time and pace; as alo from all Notes, Signs or Symbols whatoever. This, if I may be allowed to judge of others by my elf, is impoible. To me it eems evident, that Meaures and Signs are abolutely neceary, in order to conceive or reaon about Velocities; and that, conequently, when we think to conceive the Velocities, imply and in themelves, we are deluded by vain Abtractions.

XXXVIII. It may perhaps be thought by ome an eaier Method of conceiving Fluxions, to uppoe them the Velocities wherewith the infiniteimal Differences are generated. So that the firt Fluxions hall be the Velocities of the firt Differences, the