The spheres of fire and air: how hail and rain form
Water drops, spherical perfection and bubbles that cast cruciform images in sunlight
Read with the sheet turned 180 degrees, this densely written page treats the physics of the atmosphere: the element of fire, the cold middle region of the air, and the way moist granules rise, collide and fall to make hail and rain. Leonardo then examines individual water drops, arguing that the smallest sphere is the most perfect and likening the drop's power to absorb another to the occult virtue of the lodestone. A top-right sketch shows the spheres of fire and air with clouds and rain, while margin figures illustrate droplets, letters a b c d fe, a drop of varnish and a hemispherical water bubble.
On this page
How hail and rain form in the cold middle region of the air
The middle region of the air, remote from both the sphere of fire and the water below, stands in the first degree of coldness, so the part of a cloud nearest it cools the most. Rising moist granules slow as they approach this region; the faster ones below overtake and strike them, merging and gaining weight until the air can no longer sustain them. Falling, each granule gathers more droplets and so gains both size and speed of descent.
Colliding droplets fall at an angle, in proportion to their size
Droplets that strike one another without wind do not descend straight but at an angle: when two bodies collide in the air, the one of lesser quantity is displaced further from its straight line. When two grains of dew or of quicksilver join, both shift from their place, and the proportion of their motions matches that of their magnitudes.
Why the smallest sphere of a liquid is the most perfect
A drop of liquid varnish takes a more perfect spherical shape the smaller it is. Water clothed by air seeks to stay united in its sphere, where it is deprived of weight; the smallest droplets, nearly as light as the surrounding air, are best sustained by it, and though almost invisible singly they compose clouds and mists. Leonardo compares the larger drop's power to absorb the smaller to the occult virtue by which the lodestone draws iron.
Water bubbles that cast cruciform images in sunlight
Beneath a hemispherical form Leonardo notes a 'rattle', or bladder of water, that is a bubble. He proposes an experiment: such bubbles, floating on a little water placed in a basin, use the solar rays to cast cruciform images upon the bottom of the basin.
