4005652A Treatise on Painting — Of linear PerspectiveJohn Francis RigaudLeonardo da Vinci

Chap. CXV.Of linear Perspective.

Linear Perspective consists in giving, by established rules, the true dimensions of objects, according to their respective distances; so that the second object be less than the first, the third than the second, and by degrees at last they become invisible. I find by experience, that, if the second object be at the same distance from the first, as the first is from the eye, though they be of the same size, the second will appear half the size of the first; and, if the third be at the same distance behind the second, it will diminish two thirds; and so on, by degrees, they will, at equal distances, diminish in proportion; provided that the interval be not more than twenty cubits[1]; at which distance it will lose two fourths of its size: at forty it will diminish three fourths; and at sixty it will lose five sixths, and so on progressively. But you must be distant from your picture twice the size of it; for, if you be only once the size, it will make a great difference in the measure from the first to the second.

  1. About thirteen yards of our measure, the Florentine braccia, or cubit, by which the author measures, being 1 foot 10 inches 7-8ths English measure.