are equally changed, the changes of the velocities made towards contrary parts are reciprocally proportional to the bodies. This law takes place alſo in Attractions, as will be proved in the next Scholium.
If a body in a given time, by the force M impreſſed apart in the place A, ſhould with an uniform motion be carried from A to B; and by the force N impreſſed apart in the ſame place, ſhould be carried from A to C; complete the parallelogram ABCD, and, by both forces acting together, it will in the ſame time be carried in the diagonal from A to D. For ſince the force N acts in the direction of the line AC, parallel to BD, this force (by the ſecond law) will not at all alter the velocity generated by the other force M, by which the body is carried towards the line BD. The body therefore will arrive at the line BD in the ſame time, whether the force N be impreſſed or not; and therefore at the end of that time it will be found ſomewhere in the line BD. By the ſame argument, at the end of the ſame time it will be found ſomewhere in the line CD. Therefore it will be found in the point D, where both lines meet. But it will move in a right line from A to D, by Law I.
