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

ven. Therefore with a given force the body will move in a a parabola, as Galileo has demonstrated. If the ordinate deſcribe 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 cauſe the body to move in an hyperbola. But leaving this kind of propoſitions, I ſhall go on to ſome others relating to motion which I have not yet touched upon.

Sect-