On Painting: Infinite Gradations of Light and Shade
Why shadow tones are infinite, and how to study figures from nature
Headed De pittura (On painting), the text argues that although practitioners use only four degrees of brightness to imitate a colour, the gradations of light and shade are in truth infinite, since they lie over a continuous quantity divisible to infinity. Two small ray diagrams lettered a g, d and c prove the point: a part of an illuminated body is darker the longer its line to the light, so the proportion of the lights follows the proportion of those line-lengths. A further section, On study and its order, prescribes learning the limbs first, then human actions, then composing narratives, sketching figures from life in streets and squares with brief outline notes, and prefers drawing from nature over copying other masters. A small pen sketch of moving figures appears at the lower left, and further notes run down the right margin.
On this page
The tonal degrees of shadow are infinite
Although painters put only four degrees of brightness into dark things such as trees, meadows, hair and beards, Leonardo holds these varieties to be infinite over a continuous quantity, which in itself is divisible to infinity.
Proof by light rays
Let a g be a continuous quantity and d the illuminating light; g is darker than c by as much as the line d g is longer than d c. Since c d is continuous and infinitely divisible, the degrees of brightness are infinite, and the proportion of the lights equals that of the line-lengths from the luminous source to the illuminated part.
On study and its order
First learn the limbs and their movements, then human actions, then compose narratives; note figures seen in streets, squares and fields with brief outlines — an o for a head, a straight or bent line for an arm — and finish them at home. It is safer to draw from nature than to copy other masters, for he who can go to the fountain does not go to the water-jar.
