Why heavy bodies descend: the medium, not the centre
Water losing weight, floating mud, and the three centres of gravity
A densely written sheet with several lettered figures at top and middle argues against attraction toward the world's centre as the cause of descent: heavy bodies fall because the medium cannot sustain them. Leonardo marshals evidence from water, mud that floats like mist on marsh bottoms, slender grasses that rise through the water, and buildings whose weight does not press on their foundations. Lettered figures set out the three centres of a pyramidal heavy body (natural gravity a, accidental gravity b, magnitude c), the 'site of equality' on a balance, a geometric rule of equal angles on one base, and water a losing its weight as it falls into water n.
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Descent is caused by the medium's failure, not by attraction
Water falling on the earth immediately loses its weight and its desire to descend, and does not press on its support. Mud stays floating like mist on marsh bottoms, slender grasses rise through the water toward the surface, and the soil under great buildings stays rarefied as if under air, proving descent is not caused by the centre of the world drawing bodies to itself.
The three centres of a pyramidal heavy body
Every pyramidal heavy body has three centres: the centre of natural gravity a, the centre of accidental gravity b, and the centre of its magnitude c. The centre of natural gravity b moves toward the world's centre p along the line b p, always keeping two weights at equal height above itself.
The site of equality on the balance
The site of equality is that which holds the centres of the heavy bodies, placed on the ends of the balance at equal heights, above the centre of the world.
Equal angles on one base require pyramids of equal length
It is impossible to make the angles a, b equal upon one and the same base without the pyramids being of equal length. When two triangles rise upon the same base, the proportion from angle to angle equals the proportion from one height to the other.
Water a loses its weight falling into water n
The water a will lose its weight in falling into the water n, even though it were very greatly distant from the sphere of its element b.
