granted, would upon a narrow ſcrutiny find it impoſſible, to frame any Idea or Notion whatſoever of thoſe Velocities, excluſive of ſuch finite Quantities and Signs.
Suppoſe the Line KP deſcribed 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. Suppoſe alſo that a, b, c, d, e, &c. denote the Velocities of the generating Point, at the ſeveral Periods of the Parts or Increments ſo generated. It is eaſy to obſerve that theſe Increments are each proportional to the ſum of the Velocities with which it is deſcribed: That, conſequently, the ſeveral Sums of the Velocities, generated in equal Parts of Time, may be ſet forth by the reſpective Lines KL, LM, MN, &c. generated in the ſame times: It is likewiſe an eaſy matter to ſay, that the laſt Velocity generated in the firſt Particle of Time, may be expreſſed by the Symbol a, the laſt in the ſecond by b, the laſt generated in the third by c, and ſo
