Why Heavy Bodies Descend: Gravity and the Balance
Descent is caused not by attraction to the world's centre but by the medium's failure to sustain weight
Leonardo argues that a heavy body descends not because it is drawn by the centre of the world nor because it desires to join it, but because the medium cannot sustain it. He supports this with observations that water loses its weight on reaching the ground, that light mud floats in marsh water, that slender grasses rise through the water, and that great buildings do not press on the earth beneath their foundations. Geometric figures with letters define the three centres of a pyramidal heavy body — natural gravity a, accidental gravity b, and magnitude c — and the 'site of equality' of weights on a balance, while a lower figure shows water a losing its weight as it falls into water n.
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Descent is not attraction to the world's centre
Leonardo denies that water descends because the centre of the world draws it, or because its element pulls it by the shortest way. If it were drawn to the centre it would always press on any obstacle, yet water loses its weight the moment it falls to earth, light mud floats like mist in marshes, slender grasses rise through the water, and buildings do not press on the ground beneath their foundations.
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 moves to find the centre of the world p along the line b p, keeping two weights at equal height above it; a descent made without impetus becomes a right angle before it reaches the centre.
The site of equality on the balance
The site of equality is that which holds the centres of the weights placed on the extremes of the balance at equal heights above the centre of the world. It defines the neutral position from which gravity and lightness are measured.
Equal angles on a common base require equal-length pyramids
It is impossible to make the angles a, b equal on one and the same base unless the pyramids are of equal length. When two triangles arise on the same base, the proportion from angle to angle is as that from one height to the other.
Water loses its weight falling into water
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. A central lower figure with letters illustrates this loss of weight on impact.
