... force isdetermined and immutable, or is continually augmented or continually diminished, are in the very beginning of the motion one to the other in the duplicate ratio of the times.Let the times ... beyond, nor in effectattain to, till the quantities are diminished in infinitum. This thing will appear more evidentin quantities infinitely great. If two quantities, whose difference is given, be ... therefore the versed sine is in the duplicate ratio of the time in which abody will describe an arc with a given velocity.Cor. 4. The rectilinear triangles A D B, A d b are ultimately in the triplicate...