Impetus in Fluids: Why a Fish Outswims a Bird
The persistence of impetus in air and water; simple versus compound motion; boats on a river
This text page treats 'liquid impetus', the impetus of bodies moving through air and water, arguing that impetus persists because the fluid closing in behind a moving body presses it forward more strongly than the fluid ahead resists. Leonardo asks why a fish swims faster through dense water than a bird flies through light air, and answers that water is incompressible and, being denser, rushes into the void behind the fish and even forms a wave that speeds it, whereas air condenses ahead of the bird; he frames the fish's power as ten against the water's one. In the right margin he defines impetus as an impression of local motion transmitted from mover to moved, and divides water's impetus into 'simple' (wholly submerged) and 'compound' (between air and water, as in boats), the latter analysed into three directions of a boat's motion on a river. Only faint diagrams offset from the recto show through; the sheet is otherwise entirely text.
On this page
Impetus defined and maintained by the fluid
Impetus is an impression of local motion, transmitted from the mover to the moving body and maintained by the air or water as it moves to prevent a void. In every degree of time it acquires degrees of diminution, and it lasts because the fluid closing in behind pushes the body more than the fluid ahead resists.
Why the fish outswims the bird
Leonardo asks why a fish is swifter in water than a bird in air, when water is heavier and denser. He answers that water, being incompressible and dense, fills the void behind the fish and forms a wave that augments its motion, and reckons the fish's power as ten to the water's one, leaving it nine to climb even against a waterfall.
Simple versus compound impetus; a boat's three motions
The impetus of water is of two natures: simple, wholly beneath the water, which moves the water behind the fish at its mover's speed; and compound, between air and water as in boats. A boat's compound motion divides into three, against the river's course, along the current, and across its breadth.
Air condenses ahead of the bird
Unlike water, air is condensable toward infinity, so it compresses in front of the flying bird and resists its penetration, whereas the water before the fish does not condense but yields into a speeding wave. This difference in the two fluids explains why the bird is the slower of the two.
