OF TREES.

What outlines are seen in trees at a distance against the sky which

serves as their background?

The outlines of the ramification of trees, where they lie against

the illuminated sky, display a form which more nearly approaches the

spherical on proportion as they are remote, and the nearer they are

the less they appear in this spherical form; as in the first tree

_a_ which, being near to the eye, displays the true form of its

ramification; but this shows less in _b_ and is altogether lost in

_c_, where not merely the branches of the tree cannot be seen but

the whole tree is distinguished with difficulty. Every object in

shadow, of whatever form it may be, at a great distance appears to

be spherical. And this occurs because, if it is a square body, at a

very short distance it loses its angles, and a little farther off it

loses still more of its smaller sides which remain. And thus before

the whole is lost [to sight] the parts are lost, being smaller than

the whole; as a man, who in such a distant position loses his legs,

arms and head before [the mass of] his body, then the outlines of

length are lost before those of breadth, and where they have become

equal it would be a square if the angles remained; but as they are

lost it is round.

[Footnote: The sketch No. 4, Pl. XXVIII, belongs to this passage.]

The cast shadow of trees (452. 453).

452.

The image of the shadow of any object of uniform breadth can never

be [exactly] the same as that of the body which casts it.

[Footnote: See Pl. XXVIII, No. 5.]

Light and shade on groups of trees (453-457).

453.

All trees seen against the sun are dark towards the middle and this

shadow will be of the shape of the tree when apart from others.

The shadows cast by trees on which the sun shines are as dark as

those of the middle of the tree.

The shadow cast by a tree is never less than the mass of the tree

but becomes taller in proportion as the spot on which it falls,

slopes towards the centre of the world.

The shadow will be densest in the middle of the tree when the tree

has the fewest branches.

[Footnote: The three diagrams which accompany this text are placed,

in the original, before lines 7-11. At the spots marked _B_ Leonardo

wrote _Albero_ (tree). At _A_ is the word _Sole_ (sun), at _C Monte_

(mountain) at _D piano_ (plain) and at _E cima_ (summit).]

Every branch participates of the central shadow of every other

branch and consequently [of that] of the whole tree.

The form of any shadow from a branch or tree is circumscribed by the

light which falls from the side whence the light comes; and this

illumination gives the shape of the shadow, and this may be of the

distance of a mile from the side where the sun is.

If it happens that a cloud should anywhere overshadow some part of a

hill the [shadow of the] trees there will change less than in the

plains; for these trees on the hills have their branches thicker,

because they grow less high each year than in the plains. Therefore

as these branches are dark by nature and being so full of shade, the

shadow of the clouds cannot darken them any more; but the open

spaces between the trees, which have no strong shadow change very

much in tone and particularly those which vary from green; that is

ploughed lands or fallen mountains or barren lands or rocks. Where

the trees are against the atmosphere they appear all the same

colour--if indeed they are not very close together or very thickly

covered with leaves like the fir and similar trees. When you see the

trees from the side from which the sun lights them, you will see

them almost all of the same tone, and the shadows in them will be

hidden by the leaves in the light, which come between your eye and

those shadows.

The Notebooks of Leonardo Da Vinci — Volume 1 · 第 227 / 366 题