Impetus, the wavering balance, and the motion of water
Balance oscillation, the nature of impetus, falling drops, communicating vessels, and mercury beneath water.
This densely written sheet gathers studies in mechanics and hydraulics around small diagrams of balances and vessels. Leonardo derives the wavering, back-and-forth motion of a balance's arms from impetus, and gives his definition of impetus as a power transmitted from mover to moving body and sustained by waves of air. Further notes and figures treat a falling water drop's circular waves, the equal surface-height of joined (communicating) vessels, water clinging to the air in a spun dish, glass horns and curved tubes in which quicksilver settles beneath water. He cites Hero of Alexandria on water and distinguishes liquids that mix from those that do not.
On this page
The wavering motion of the balance arms
The alternating, wavering motion between the arms of a balance is said to arise from the impetus generated by the inequality produced in their weights. Leonardo treats this oscillation as a mechanical effect passed reciprocally between the two arms.
What impetus is
Impetus is defined as a power transferred from the mover to the moving body and maintained by the wave of air the mover generates. It arises from the vacuum that would otherwise form behind the moving body, and would continue to infinity if air were infinitely condensable.
Circular waves in a falling drop
The sides of a droplet descending through air move contrary to the drop itself, making a continuous circular wave that sinks into the middle of its circle, passes through, and rises again to regenerate the wave. Two sectioned figures of drops accompany the note.
Equal surfaces of communicating vessels
The surfaces of all motionless liquids that are joined together will always stand at equal height. Waters that exceed the height of the great ocean have gravity and are in natural motion, and a wavering wave consumes itself by rebounding between opposite banks.
Water clinging more to air than to the vessel
Water in a broad dish holds more tenaciously to the air than to the vessel's bottom, so a sudden movement of the dish raises a wave. Where two liquids lie one upon the other, the one moves the other.
Quicksilver settling beneath water in curved tubes
In two curved tubes a valve b separates quicksilver (a b) from common water (b c). When the conduit is opened, the quicksilver passes beneath the water and none of the water passes beneath it, making the weights of water and quicksilver equal.
