Force, Weight, and the Instantaneous Blow
Why a struck iron spreads at its top, and why the eye sees a blow before the ear hears it
Grouped under "Force and weight," "On the rebound," "On the blow," and "On the sound made by percussion," this densely written folio develops Leonardo's theory of the instantaneous blow. He argues that force seeks its origin while weight seeks the earth, links the height of one bounce to the distance of the next, and repeatedly shows why a struck iron widens more at its top than at its base, with the practical corollary that sculptors carve marble better with the pointed hammer than with a chisel. A further passage reasons that because the blow occupies an indivisible instant, the eye always sees the strike of a bell's hammer before the ear can hear its sound. Marginal sketches show rebounding bodies, a bent bar, hammer and anvil, and a struck bell.
On this page
Force seeks its origin, weight seeks the earth
Force always pushes toward the beginning of the place where it was born, and weight pushes toward the place of its departure. The places where force is born can be infinite, but the place of weight is one only, namely the earth.
The rebound: one bounce's height sets the next one's reach
In the diagram of four rebounds, as much as a rises after the percussion more than b, so much will b strike the ground farther from c than d did.
Why the top of a struck iron widens more than its base
Because the blow's time is indivisible, its operation is finished in the upper parts before it can pass to the foundations, like the mason who breaks a stone in his hand without harming it. So the iron a-b, struck at its top a, widens more there than at its base b.
The eye sees the blow before the ear hears its sound
A sound cannot be heard from any nearness of the ear without the eye having first seen the blow's contact. Since the blow's time is indivisible, the struck body can take up no resonance while the striking thing still touches it, and so cannot give any to the ear until the two are separated.
Measuring the blow's power at top versus base
The blow finishes its swift operation before reaching the base of the struck thing, so the top widens more than the base. To gauge how much greater its power is above, see how many times the base widening m-n fits into the top widening a-c; by so much does a-c receive greater violence. Under mere weight or force, m-n would widen as much as a-c.
The pointed hammer carves marble better than the struck chisel
Because a struck iron obeys the blow at its top before transferring it to the base, its extremity widens most where struck. From this Leonardo concludes that sculptors do better work removing material from their marbles with the pointed hammer than with a chisel struck by the hammer.
