Part Eight: On the Horizon
The true site of the horizon, and how its distance grows with the height of the eye.
This page opens the eighth part of the Treatise on Painting, devoted to the horizon. Leonardo defines the horizon as the place where the brightness of the air ends at the edge of the earth, and argues that its distance grows with the height of the eye: about half a mile at the calm sea's surface, seven miles at a man's full height, and far greater from a mountain top near the sea. He notes that over land the horizon lies at unequal distances because the earth's surface is not perfectly spherical like the skin of water, and that the sea's horizon never rises above the beholder's feet.
On this page
What the true site of the horizon is (label a)
The horizon is where the brightness of the air ends at the boundary of the earth, seen along one perpendicular above the centre of the world. Its distance depends on eye height: about half a mile from the surface of a calm sea, seven miles at a man's full stature, and much farther from high mountains near the sea.
Why the water's horizon is regular but the land's is not
Inland, the horizon is not at an equal distance because the surface of the earth is not equally distant from the centre of the world and so lacks perfect sphericity, unlike the skin of water. This uneven form is the cause of the varying distances between the eye and the horizon.
The near horizon beside a mountain summit (label b)
The horizon of the sky is sometimes very near, especially for one beside a mountain's summit, where it is seen formed at the edge of that peak. Turning back toward the horizon of the sea, he will see it exceedingly remote.
