Chapter L

The painter requires such knowledge of mathematics as belongs to painting, and severance from companions who are not in sympathy with his studies, and his brain should have the power of adapting itself to the tenor of the objects which present themselves before it, and he should be freed from all other cares. And if, while considering and examining one subject, a second should intervene, as happens when an object occupies the mind, he ought to decide which of these subjects presents greater difficulties in investigation, and follow that until it becomes entirely clear, and afterwards pursue the investigation of the other. And above all he should keep his mind as clear as the surface of a mirror, which becomes changed to as many different colours as are those of the objects within it, and his companions should resemble him in a taste for these studies; and if he fail to find any such, he should accustom himself to be alone in his investigations, for in the end he will find no more profitable companionship.

_Leonardo._