86

The angle of sight varies with the distance.

[figure]

A simple and natural method; showing how objects appear to the eye without any other medium.

The object that is nearest to the eye always seems larger than another of the same size at greater distance. The eye m, seeing the spaces o v x, hardly detects the difference between them, and the. reason of this is that it is close to them [Footnote 6: It is quite inconceivable to me why M. RAVAISSON, in a note to his French translation of this simple passage should have remarked: Il est clair que c’est par erreur que Leonard a ècrit per esser visino au lieu de per non esser visino. (See his printed ed. of MS. A. p. 38.)]; but if these spaces are marked on the vertical plane n o the space o v will be seen at o r, and in the same way the space v x will appear at r q. And if you carry this out in any place where you can walk round, it will look out of proportion by reason of the great difference in the spaces o r and r q. And this proceeds from the eye being so much below [near] the plane that the plane is foreshortened. Hence, if you wanted to carry it out, you would have [to arrange] to see the perspective through a single hole which must be at the point m, or else you must go to a distance of at least 3 times the height of the object you see. The plane o p being always equally remote from the eye will reproduce the objects in a satisfactory way, so that they may be seen from place to place.

Taken from The Notebooks of Leonardo da Vinci edited by Jean Paul Richter, 1880.

85 * 87
I * III
Notebooks of Leonoardo da Vinci
II: Linear Perspective.
. . .
66
General conclusions.
67
That the contrary is impossible.
68
A parallel case.
69
The function of the eye as explained by the camera obscura.
70,
71
The practice of perspective.
72,
73
Refraction of the rays falling upon the eye.
74,
75
The inversion of the images.
76
The intersection of the rays.
77,
78,
79,
80,
81,
82
Demomstration of perspective by means of a vertical glass plane.
83,
84,
85
The angle of sight varies with the distance.
86,
87,
88
Opposite pyramids in juxtaposition.
89
On simple and complex perspective.
90
The proper distance of objects from the eye.
91,
92
eye.
93,
94,
95,
96,
97,
98
The apparent size of objects defined by calculation.
99,
100,
101,
102,
103,
104,
105,
106
. . .