On Impetus and the Three Natures of Motion
The force that outlives its mover—beam, boat, arrow and gliding bird
A long meditation on impetus—the force a mover impresses on a moving body that keeps it going after the two separate. Leonardo defines impetus, argues that it can never be instantly destroyed but is spent gradually or by reflex motion against resistance, and, with a small lettered diagram of points a–h, traces how far a body launched along different lines carries before its impetus dies. He distinguishes three natures of movers and movables according to how friction lets the motion outlast its cause, illustrating them with a beam dragged by oxen, a boat gliding on after it is pushed, an arrow leaving the bowstring, and a bird coasting on the impetus of its wingbeats.
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Impetus is never consumed at once
No impetus made by any motion can be consumed immediately; if it meets an object of great resistance it is spent through reflex motion. Leonardo calls for definitions of impetus, of oblique motion, and of greater and lesser obliquity, noting that the acquired impetus lasts longer the less oblique the descent.
Birds coasting on acquired impetus
The impetus gained from the beats of the wings in a bird's oblique descent lets it glide for a long space without beating them. After beating its wings upon the condensed air, the bird moves on carried by impetus, just as a boat drawn through water glides on once the mover lets go.
The three natures of movers and movables
A lettered diagram (a launched along lines to points f, g, h) measures how far impetus carries before it dies. Leonardo defines impetus as a power of the mover applied in its movable, then sorts movers and movables into three natures by how far the motion outlasts its cause—a beam dragged by oxen stops at once, while an arrow shot from the bowstring runs long by itself after the string has stopped.
