Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/70

60 granted, would upon a narrow crutiny find it impoible, to frame any Idea or Notion whatoever of thoe Velocities, excluive of uch finite Quantities and Signs.

Suppoe the Line KP decribed by the Motion of a Point continually accelerated, and that in equal Particles of time the unequal Parts KL, LM, MN, NO &c. are generated. Suppoe alo that a, b, c, d, e, &c. denote the Velocities of the generating Point, at the everal Periods of the Parts or Increments o generated. It is eay to oberve that thee Increments are each proportional to the um of the Velocities with which it is decribed: That, conequently, the everal Sums of the Velocities, generated in equal Parts of Time, may be et forth by the repective Lines KL, LM, MN, &c. generated in the ame times: It is likewie an eay matter to ay, that the lat Velocity generated in the firt Particle of Time, may be expreed by the Symbol a, the lat in the econd by b, the lat generated in the third by c, and o on: