Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/402

 310 . Therefore with a given force the body will move in a a parabola, as Galileo has demonstrated. If the ordinate decribe an hyperbola, m being=0—1, and n=1; the force will be as $$\scriptstyle{2A^{-3}}$$ or $$\scriptstyle{2B^3}$$; and therefore a force which is as the cube of the ordinate will caue the body to move in an hyperbola. But leaving this kind of propoitions, I hall go on to ome others relating to motion which I have not yet touched upon.