Colour-loss proportional to distance; unchanged colour across air
Chapter 199 finished and chapter 200 begun on when a colour keeps its look through thinning air
A text page of the Treatise on Painting completing chapter 199 and opening chapter 200. Finishing the colour-perspective proof, Leonardo shows colour b reaching the eye through 2 degrees of thick and 2 of less thick air, c through 3 and 3, d through 4 and 4, so the diminutions or losses of colours stand in the same proportion as their distances from the eye, a rule holding only for colours of equal height. Chapter 200 then argues that a colour placed in different air-thicknesses will not change when one is set as much more remote as the air is thinner, proved by steps a b, a c and b e d. A faint small diagram appears near the start of the proof.
On this page
Colour-loss stands in the ratio of distance
Colour b sends its likeness to the eye a through two degrees of thick air and two of less thick; c through three and three; d through four and four. Thus the diminutions or losses of colours are in the same proportion as their distances from the eye, but only for colours of equal height.
Colour unchanged across air-thicknesses (chapter 200)
A colour placed in different thicknesses of air will not change when the one is as much more remote from the eye as the other lies in thinner air. Colours of unequal height do not obey the earlier rule, being in airs of various thickness that occupy them differently.
Proof by degrees of thickness and gained distance
If the low air has 4 degrees of thickness and the colour is one degree from the eye (a b), and the higher air, losing one degree, is 3 degrees thick, let the colour gain one degree of distance (a c); when the higher air has lost 2 degrees and the colour gained two, the first colour equals the third, b e d.
