The three natures of ponderous motion and the nature of Force
Rising, falling and transverse motion; the arrow's borrowed power; force as a spiritual essence
A page of natural-philosophical prose on the motion of weights, with only a few tiny diagrams in the margins. Leonardo distinguishes three natures of 'ponderous' motion: rising motion that weakens, falling motion that strengthens, and a transverse motion that partakes of both, the descending weight growing from 1 to 2 to 3 as it falls. He argues that a body driven violently borrows the power of its cause, instancing an arrow of three ounces loosed from a crossbow whose cord was drawn by four hundred pounds. The sheet closes with several redrafts of his definition of Force as a spiritual, incorporeal essence, joined by accidental violence to bodies drawn out of their natural rest.
On this page
The three natures of ponderous motion
Weights move in three natures: upward motion grows weaker the higher it rises, downward motion grows stronger the lower it falls, and the third, transverse motion, partakes of both. Up to its mid-point the transverse path holds the nature of a falling weight, then, weakening, it curves downward like a rising one.
The descending weight gains as it falls
Because every middle partakes of the extremes, a descending weight that is one pound at the start is worth 2 at mid-way and 3 at the end. It receives as much blow as it delivers at its last contact.
Violent motion carries the power of its cause
A light body driven violently borrows the power of its cause: an arrow of 3 ounces, loosed from a crossbow whose cord was drawn by a force of 400 pounds, carries in its flight the nature of that great weight. Every weight driven by violent motion adds to itself the power of its cause during the flight.
Force defined as a spiritual essence
Repeatedly redrafted, the note defines force as a spiritual, incorporeal and impalpable essence, joined by accidental violence to ponderous bodies drawn out of their natural rest. Though it lives briefly it is of marvellous power, and it adds neither form nor weight to the body where it is born.
