PERSPECTIVE.

No visible object can be well understood and comprehended by the

human eye excepting from the difference of the background against

which the edges of the object terminate and by which they are

bounded, and no object will appear [to stand out] separate from that

background so far as the outlines of its borders are concerned. The

moon, though it is at a great distance from the sun, when, in an

eclipse, it comes between our eyes and the sun, appears to the eyes

of men to be close to the sun and affixed to it, because the sun is

then the background to the moon.

252.

A luminous body will appear more brilliant in proportion as it is

surrounded by deeper shadow. [Footnote: The diagram which, in the

original, is placed after this text, has no connection with it.]

253.

The straight edges of a body will appear broken when they are

conterminous with a dark space streaked with rays of light.

[Footnote: Here again the diagrams in the original have no

connection with the text.]

254.

Of several bodies, all equally large and equally distant, that which

is most brightly illuminated will appear to the eye nearest and

largest. [Footnote: Here again the diagrams in the original have no

connection with the text.]

255.

If several luminous bodies are seen from a great distance although

they are really separate they will appear united as one body.

256.

If several objects in shadow, standing very close together, are seen

against a bright background they will appear separated by wide

intervals.

257.

Of several bodies of equal size and tone, that which is farthest

will appear the lightest and smallest.

258.

Of several objects equal in size, brightness of background and

length that which has the flattest surface will look the largest. A

bar of iron equally thick throughout and of which half is red hot,

affords an example, for the red hot part looks thicker than the

rest.

259.

Of several bodies of equal size and length, and alike in form and in

depth of shade, that will appear smallest which is surrounded by the

most luminous background.

260.

DIFFERENT PORTIONS OF A WALL SURFACE WILL BE DARKER OR BRIGHTER IN

PROPORTION AS THE LIGHT OR SHADOW FALLS ON THEM AT A LARGER ANGLE.

The foregoing proposition can be clearly proved in this way. Let us

say that _m q_ is the luminous body, then _f g_ will be the opaque

body; and let _a e_ be the above-mentioned plane on which the said

angles fall, showing [plainly] the nature and character of their

bases. Then: _a_ will be more luminous than _b_; the base of the

angle _a_ is larger than that of _b_ and it therefore makes a

greater angle which will be _a m q_; and the pyramid _b p m_ will be

narrower and _m o c_ will be still finer, and so on by degrees, in

proportion as they are nearer to _e_, the pyramids will become

narrower and darker. That portion of the wall will be the darkest

where the breadth of the pyramid of shadow is greater than the

breadth of the pyramid of light.

At the point _a_ the pyramid of light is equal in strength to the

pyramid of shadow, because the base _f g_ is equal to the base _r

f_. At the point _d_ the pyramid of light is narrower than the

pyramid of shadow by so much as the base _s f_ is less than the base

_f g_.

Divide the foregoing proposition into two diagrams, one with the

pyramids of light and shadow, the other with the pyramids of light

[only].

261.

Among shadows of equal depth those which are nearest to the eye will

look least deep.

262.

The more brilliant the light given by a luminous body, the deeper

will the shadows be cast by the objects it illuminates.

_V._

_Theory of colours._

_Leonardo's theory of colours is even more intimately connected with

his principles of light and shade than his Perspective of

Disappearance and is in fact merely an appendix or supplement to

those principles, as we gather from the titles to sections_ 264,

267_, and _276_, while others again_ (_Nos._ 281, 282_) are headed_

Prospettiva.

_A very few of these chapters are to be found in the oldest copies

and editions of the Treatise on Painting, and although the material

they afford is but meager and the connection between them but

slight, we must still attribute to them a special theoretical value

as well as practical utility--all the more so because our knowledge

of the theory and use of colours at the time of the Renaissance is

still extremely limited._

The reciprocal effects of colours on objects placed opposite each

other (263-272).

263.

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