abſolute forces of the attractive bodies A and B will be to each other, as thoſe very bodies A and B to which theſe forces belong.
For the accelerative attractions of all the bodies B, C, D, towards A are by the ſuppoſition equal to each other at equal diſtances; and in like manner the accelerative attractions of all the bodies towards B are alſo equal to each other at equal diſtances. But the abſolute attractive force of the body A is to the abſolute attractive force of the body B, as the accelerative attraction of all the bodies towards A to the accelerative attraction of all the bodies towards B at equal diſtances and ſo is alſo the accelerative attraction of the body B towards A, to the accelerative attraction of the body A towards B. But the accelerative attraction of the body B towards A is to the accelerative attraction of the body A towards B as the maſs of the body A to the maſs of the body B; becauſe the motive forces which (by the 2d, 7th, and 8th definition) are as the accelerative forces and the bodies attracted conjunctly, are here equal to one another by the third law. Therefore the abſolute attractive force of the body A is to the abſolute attractive force of the body B as the maſs of the body A to the maſs of the body B. Q. E. D.
Cor. Therefore if each of the bodies of the ſyſtem A, B, C, D, &c. does ſingly attract all the reſt with accelerative forces that are reciprocally as the ſquares of the diſtances from the attracting body; the abſolute forces of all thoſe bodies will be to each other as the bodies themſelves.
