The Notebooks of Leonardo Da Vinci (33 page)

543.

If you want to represent an object near to you which is to have the
effect of nature, it is impossible that your perspective should not
look wrong, with every false relation and disagreement of proportion
that can be imagined in a wretched work, unless the spectator, when
he looks at it, has his eye at the very distance and height and
direction where the eye or the point of sight was placed in doing
this perspective. Hence it would be necessary to make a window, or
rather a hole, of the size of your face through which you can look
at the work; and if you do this, beyond all doubt your work, if it
is correct as to light and shade, will have the effect of nature;
nay you will hardly persuade yourself that those objects are
painted; otherwise do not trouble yourself about it, unless indeed
you make your view at least 20 times as far off as the greatest
width or height of the objects represented, and this will satisfy
any spectator placed anywhere opposite to the picture.

If you want the proof briefly shown, take a piece of wood in the
form of a little column, eight times as high as it is thick, like a
column without any plinth or capital; then mark off on a flat wall
40 equal spaces, equal to its width so that between them they make
40 columns resembling your little column; you then must fix,
opposite the centre space, and at 4 braccia from the wall, a thin
strip of iron with a small round hole in the middle about as large
as a big pearl. Close to this hole place a light touching it. Then
place your column against each mark on the wall and draw the outline
of its shadow; afterwards shade it and look through the hole in the
iron plate.

[Footnote: In the original there is a wide space between lines 3 and
4 in which we find two sketches not belonging to the text. It is
unnecessary to give prominence to the points in which my reading
differs from that of M. RAVAISSON or to justify myself, since they
are all of secondary importance and can also be immediately verified
from the photograph facsimile in his edition.]

544.

A diminished object should be seen from the same distance, height
and direction as the point of sight of your eye, or else your
knowledge will produce no good effect.

And if you will not, or cannot, act on this principle—because as
the plane on which you paint is to be seen by several persons you
would need several points of sight which would make it look
discordant and wrong—place yourself at a distance of at least 10
times the size of the objects.

The lesser fault you can fall into then, will be that of
representing all the objects in the foreground of their proper size,
and on whichever side you are standing the objects thus seen will
diminish themselves while the spaces between them will have no
definite ratio. For, if you place yourself in the middle of a
straight row [of objects], and look at several columns arranged in a
line you will see, beyond a few columns separated by intervals, that
the columns touch; and beyond where they touch they cover each
other, till the last column projects but very little beyond the last
but one. Thus the spaces between the columns are by degrees entirely
lost. So, if your method of perspective is good, it will produce the
same effect; this effect results from standing near the line in
which the columns are placed. This method is not satisfactory unless
the objects seen are viewed from a small hole, in the middle of
which is your point of sight; but if you proceed thus your work will
be perfect and will deceive the beholder, who will see the columns
as they are here figured.

Here the eye is in the middle, at the point
a
and near to the
columns.

[Footnote: The diagram which stands above this chapter in the
original with the note belonging to it: "a b
e la ripruova
" (
a b
is the proof) has obviously no connection with the text. The second
sketch alone is reproduced and stands in the original between lines
22 and 23.]

545.

If you cannot arrange that those who look at your work should stand
at one particular point, when constructing your work, stand back
until your eye is at least 20 times as far off as the greatest
height and width of your work. This will make so little difference
when the eye of the spectator moves, that it will be hardly
appreciable, and it will look very good.

If the point of sight is at
t
you would make the figures on the
circle
d b e
all of one size, as each of them bears the same
relation to the point
t
. But consider the diagram given below and
you will see that this is wrong, and why I shall make
b
smaller
than
d e
[Footnote 8: The second diagram of this chapter stands in
the original between lines 8 and 9.].

It is easy to understand that if 2 objects equal to each other are
placed side by side the one at 3 braccia distance looks smaller than
that placed at 2 braccia. This however is rather theoretical than
for practice, because you stand close by [Footnote 11: Instead of
'
se preso
' (=
sie presso
) M. RAVAISSON reads '
sempre se
' which
gives rise to the unmeaning rendering: '
parceque toujours
…'].

All the objects in the foreground, whether large or small, are to be
drawn of their proper size, and if you see them from a distance they
will appear just as they ought, and if you see them close they will
diminish of themselves.

[Footnote 15: Compare No. 526 line 18.] Take care that the vertical
plan on which you work out the perspective of the objects seen is of
the same form as the wall on which the work is to be executed.

546.

The size of the figures represented ought to show you the distance
they are seen from. If you see a figure as large as nature you know
it appears to be close to the eye.

547.

Supposing
a b
to be the picture and
d
to be the light, I say
that if you place yourself between
c
and
e
you will not
understand the picture well and particularly if it is done in oils,
or still more if it is varnished, because it will be lustrous and
somewhat of the nature of a mirror. And for this reason the nearer
you go towards the point
c
, the less you will see, because the
rays of light falling from the window on the picture are reflected
to that point. But if you place yourself between
e
and
d
you
will get a good view of it, and the more so as you approach the
point
d
, because that spot is least exposed to these reflected
rays of light.

Gradations of light and shade.

548.

Although practical painters attribute to all shaded objects—trees,
fields, hair, beards and skin—four degrees of darkness in each
colour they use: that is to say first a dark foundation, secondly a
spot of colour somewhat resembling the form of the details, thirdly
a somewhat brighter and more defined portion, fourthly the lights
which are more conspicuous than other parts of the figure; still to
me it appears that these gradations are infinite upon a continuous
surface which is in itself infinitely divisible, and I prove it
thus:—[Footnote 7: See Pl. XXXI, No. 1; the two upper sketches.]
Let
a g
be a continuous surface and let
d
be the light which
illuminates it; I say—by the 4th [proposition] which says that that
side of an illuminated body is most highly lighted which is nearest
to the source of light—that therefore
g
must be darker than
c
in proportion as the line
d g
is longer than the line
d c
, and
consequently that these gradations of light—or rather of shadow,
are not 4 only, but may be conceived of as infinite, because
c d
is a continuous surface and every continuous surface is infinitely
divisible; hence the varieties in the length of lines extending
between the light and the illuminated object are infinite, and the
proportion of the light will be the same as that of the length of
the lines between them; extending from the centre of the luminous
body to the surface of the illuminated object.

On the choice of light for a picture (549-554).

549.

Let
a b
be the window,
m
the point of light. I say that on
whichever side the painter places himself he will be well placed if
only his eye is between the shaded and the illuminated portions of
the object he is drawing; and this place you will find by putting
yourself between the point
m
and the division between the shadow
and the light on the object to be drawn.

550.

The shadows cast by the sun or any other particular light have not a
pleasing effect on the body to which they belong, because the parts
remain confuse, being divided by distinct outlines of light and
shade. And the shadows are of equal strength at the end and at the
beginning.

551.

The light must be arranged in accordance with the natural conditions
under which you wish to represent your figures: that is, if you
represent them in the sunshine make the shadows dark with large
spaces of light, and mark their shadows and those of all the
surrounding objects strongly on the ground. And if you represent
them as in dull weather give little difference of light and shade,
without any shadows at their feet. If you represent them as within
doors, make a strong difference between the lights and shadows, with
shadows on the ground. If the window is screened and the walls
white, there will be little difference of light. If it is lighted by
firelight make the high lights ruddy and strong, and the shadows
dark, and those cast on the walls and on the floor will be clearly
defined and the farther they are from the body the broader and
longer will they be. If the light is partly from the fire and partly
from the outer day, that of day will be the stronger and that of the
fire almost as red as fire itself. Above all see that the figures
you paint are broadly lighted and from above, that is to say all
living persons that you paint; for you will see that all the people
you meet out in the street are lighted from above, and you must know
that if you saw your most intimate friend with a light [on his face]
from below you would find it difficult to recognise him.

552.

To increase relief of a picture you may place, between your figure
and the solid object on which its shadow falls, a line of bright
light, dividing the figure from the object in shadow. And on the
same object you shall represent two light parts which will surround
the shadow cast upon the wall by the figure placed opposite [6]; and
do this frequently with the limbs which you wish should stand out
somewhat from the body they belong to; particularly when the arms
cross the front of the breast show, between the shadow cast by the
arms on the breast and the shadow on the arms themselves, a little
light seeming to fall through a space between the breast and the
arms; and the more you wish the arm to look detached from the breast
the broader you must make the light; always contrive also to arrange
the figures against the background in such a way as that the parts
in shadow are against a light background and the illuminated
portions against a dark background.

[Footnote 6: Compare the two diagrams under No. 565.]

553.

Remember [to note] the situation of your figures; for the light and
shade will be one thing if the object is in a dark place with a
particular light, and another thing if it is in a light place with
direct sunlight; one thing in a dark place with a diffused evening
light or a cloudy sky, and another in the diffused light of the
atmosphere lighted by the sun.

554.

First you must consider whether the figures have the relief required
by their situation and the light which illuminates them; for the
shadows should not be the same at the extreme ends of the
composition as in the middle, because it is one thing when figures
are surrounded by shadows and another when they have shadows only on
one side. Those which are in the middle of the picture are
surrounded by shadows, because they are shaded by the figures which
stand between them and the light. And those are lighted on one side
only which stand between the principal group and the light, because
where they do not look towards the light they face the group and the
darkness of the group is thrown on them: and where they do not face
the group they face the brilliant light and it is their own darkness
shadowing them, which appears there.

In the second place observe the distribution or arrangement of
figures, and whether they are distributed appropriately to the
circumstances of the story. Thirdly, whether the figures are
actively intent on their particular business.

555.

First give a general shadow to the whole of that extended part which
is away from the light. Then put in the half shadows and the strong
shadows, comparing them with each other and, in the same way give
the extended light in half tint, afterwards adding the half lights
and the high lights, likewise comparing them together.