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The Notebooks of Leonardo Da Vinci, Volume 1

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You must make the foremost figure in the picture less than the size
of nature in proportion to the number of braccia at which you place
it from the front line, and make the others in proportion by the
above rule.

539.

PERSPECTIVE.

You are asked, O Painter, why the figures you draw on a small scale
according to the laws of perspective do not appear--notwithstanding
the demonstration of distance--as large as real ones--their height
being the same as in those painted on the wall.

And why [painted] objects seen at a small distance appear larger
than the real ones?

The right position of the artist, when painting, and of the
spectator (540-547)

540.

OF PAINTING.

When you draw from nature stand at a distance of 3 times the height
of the object you wish to draw.

541.

OF DRAWING FROM RELIEF.

In drawing from the round the draughtsman should so place himself
that the eye of the figure he is drawing is on a level with his own.
This should be done with any head he may have to represent from
nature because, without exception, the figures or persons you meet
in the streets have their eyes on the same level as your own; and if
you place them higher or lower you will see that your drawing will
not be true.

542.

WHY GROUPS OF FIGURES ONE ABOVE ANOTHER ARE TO BE AVOIDED.

The universal practice which painters adopt on the walls of chapels
is greatly and reasonably to be condemned. Inasmuch as they
represent one historical subject on one level with a landscape and
buildings, and then go up a step and paint another, varying the
point [of sight], and then a third and a fourth, in such a way as
that on one wall there are 4 points of sight, which is supreme folly
in such painters. We know that the point of sight is opposite the
eye of the spectator of the scene; and if you would [have me] tell
you how to represent the life of a saint divided into several
pictures on one and the same wall, I answer that you must set out
the foreground with its point of sight on a level with the eye of
the spectator of the scene, and upon this plane represent the more
important part of the story large and then, diminishing by degrees
the figures, and the buildings on various hills and open spaces, you
can represent all the events of the history. And on the remainder of
the wall up to the top put trees, large as compared with the
figures, or angels if they are appropriate to the story, or birds or
clouds or similar objects; otherwise do not trouble yourself with it
for your whole work will be wrong.

543.

A PICTURE OF OBJECTS IN PERSPECTIVE WILL LOOK MORE LIFELIKE WHEN
SEEN FROM THE POINT FROM WHICH THE OBJECTS WERE DRAWN.

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.

OF PAINTING.

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.

WHERE A SPECTATOR SHOULD STAND TO LOOK AT A PICTURE.

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.

III.

THE PRACTICAL METHODS OF LIGHT AND SHADE AND AERIAL PERSPECTIVE.

Gradations of light and shade.

548.

OF PAINTING: OF THE DARKNESS OF THE SHADOWS, OR I MAY SAY, THE
BRIGHTNESS OF THE LIGHTS.

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.

HOW THE PAINTER MUST PLACE HIMSELF WITH REFERENCE TO THE LIGHT, TO
GIVE THE EFFECT OF RELIEF.

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.

THAT SHADOWS CAST BY A PARTICULAR LIGHT SHOULD BE AVOIDED, BECAUSE
THEY ARE EQUALLY STRONG AT THE ENDS AND AT THE BEGINNING.

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.

HOW LIGHT SHOULD BE THROWN UPON FIGURES.

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.

OF HELPING THE APPARENT RELIEF OF A PICTURE BY GIVING IT ARTIFICIAL
LIGHT AND SHADE.

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.

OF SITUATION.

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.

OF THE JUDGMENT TO BE MADE OF A PAINTER'S WORK.

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.

OF THE TREATMENT OF THE LIGHTS.

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.

The distribution of light and shade (556-559)

556.

OF SHADOWS ON BODIES.

When you represent the dark shadows in bodies in light and shade,
always show the cause of the shadow, and the same with reflections;
because the dark shadows are produced by dark objects and the
reflections by objects only moderately lighted, that is with
diminished light. And there is the same proportion between the
highly lighted part of a body and the part lighted by a reflection
as between the origin of the lights on the body and the origin of
the reflections.

557.

OF LIGHTS AND SHADOWS.

I must remind you to take care that every portion of a body, and
every smallest detail which is ever so little in relief, must be
given its proper importance as to light and shade.

558.

OF THE WAY TO MAKE THE SHADOW ON FIGURES CORRESPOND TO THE LIGHT AND
TO [THE COLOUR] OF THE BODY.

When you draw a figure and you wish to see whether the shadow is the
proper complement to the light, and neither redder nor yellower than
is the nature of the colour you wish to represent in shade, proceed
thus. Cast a shadow with your finger on the illuminated portion, and
if the accidental shadow that you have made is like the natural
shadow cast by your finger on your work, well and good; and by
putting your finger nearer or farther off, you can make darker or
lighter shadows, which you must compare with your own.

559.

OF SURROUNDING BODIES BY VARIOUS FORMS OF SHADOW.

Take care that the shadows cast upon the surface of the bodies by
different objects must undulate according to the various curves of
the limbs which cast the shadows, and of the objects on which they
are cast.

The juxtaposition of light and shade (560, 561).

560.

ON PAINTING.

The comparison of the various qualities of shadows and lights not
infrequently seems ambiguous and confused to the painter who desires
to imitate and copy the objects he sees. The reason is this: If you
see a white drapery side by side with a black one, that part of the
white drapery which lies against the black one will certainly look
much whiter than the part which lies against something whiter than
itself. [Footnote: It is evident from this that so early as in 1492
Leonardo's writing in perspective was so far advanced that he could
quote his own statements.--As bearing on this subject compare what
is said in No. 280.] And the reason of this is shown in my [book on]
perspective.

561.

OF SHADOWS.

Where a shadow ends in the light, note carefully where it is paler
or deeper and where it is more or less indistinct towards the light;
and, above all, in [painting] youthful figures I remind you not to
make the shadow end like a stone, because flesh has a certain
transparency, as may be seen by looking at a hand held between the
eye and the sun, which shines through it ruddy and bright. Place the
most highly coloured part between the light and shadow. And to see
what shadow tint is needed on the flesh, cast a shadow on it with
your finger, and according as you wish to see it lighter or darker
hold your finger nearer to or farther from your picture, and copy
that [shadow].

On the lighting of the background (562-565).

562.

OF THE BACKGROUNDS FOR PAINTED FIGURES.

The ground which surrounds the forms of any object you paint should
be darker than the high lights of those figures, and lighter than
their shadowed part: &c.

563.

OF THE BACKGROUND THAT THE PAINTER SHOULD ADOPT IN HIS WORKS.

Since experience shows us that all bodies are surrounded by light
and shade it is necessary that you, O Painter, should so arrange
that the side which is in light shall terminate against a dark body
and likewise that the shadow side shall terminate against a light
body. And by [following] this rule you will add greatly to the
relief of your figures.

564.

A most important part of painting consists in the backgrounds of the
objects represented; against these backgrounds the outlines of
those natural objects which are convex are always visible, and also
the forms of these bodies against the background, even though the
colours of the bodies should be the same as that of the background.
This is caused by the convex edges of the objects not being
illuminated in the same way as, by the same light, the background is
illuminated, since these edges will often be lighter or darker than
the background. But if the edge is of the same colour as the
background, beyond a doubt it will in that part of the picture
interfere with your perception of the outline, and such a choice in
a picture ought to be rejected by the judgment of good painters,
inasmuch as the purpose of the painter is to make his figures appear
detached from the background; while in the case here described the
contrary occurs, not only in the picture, but in the objects
themselves.

565.

That you ought, when representing objects above the eye and on one
side--if you wish them to look detached from the wall--to show,
between the shadow on the object and the shadow it casts a middle
light, so that the body will appear to stand away from the wall.

On the lighting of white objects.

566.

HOW WHITE BODIES SHOULD BE REPRESENTED.

If you are representing a white body let it be surrounded by ample
space, because as white has no colour of its own, it is tinged and
altered in some degree by the colour of the objects surrounding it.
If you see a woman dressed in white in the midst of a landscape,
that side which is towards the sun is bright in colour, so much so
that in some portions it will dazzle the eyes like the sun itself;
and the side which is towards the atmosphere,--luminous through
being interwoven with the sun's rays and penetrated by them--since
the atmosphere itself is blue, that side of the woman's figure will
appear steeped in blue. If the surface of the ground about her be
meadows and if she be standing between a field lighted up by the sun
and the sun itself, you will see every portion of those folds which
are towards the meadow tinged by the reflected rays with the colour
of that meadow. Thus the white is transmuted into the colours of the
luminous and of the non-luminous objects near it.

The methods of aerial (567--570).

567.

WHY FACES [SEEN] AT A DISTANCE LOOK DARK.

We see quite plainly that all the images of visible objects that lie
before us, whether large or small, reach our sense by the minute
aperture of the eye; and if, through so small a passage the image
can pass of the vast extent of sky and earth, the face of a
man--being by comparison with such large images almost nothing by
reason of the distance which diminishes it,--fills up so little of
the eye that it is indistinguishable. Having, also, to be
transmitted from the surface to the sense through a dark medium,
that is to say the crystalline lens which looks dark, this image,
not being strong in colour becomes affected by this darkness on its
passage, and on reaching the sense it appears dark; no other reason
can in any way be assigned. If the point in the eye is black, it is
because it is full of a transparent humour as clear as air and acts
like a perforation in a board; on looking into it it appears dark
and the objects seen through the bright air and a dark one become
confused in this darkness.

WHY A MAN SEEN AT A CERTAIN DISTANCE IS NOT RECOGNISABLE.

The perspective of diminution shows us that the farther away an
object is the smaller it looks. If you look at a man at a distance
from you of an arrow's flight, and hold the eye of a small needle
close to your own eye, you can see through it several men whose
images are transmitted to the eye and will all be comprised within
the size of the needle's eye; hence, if the man who is at the
distance of an arrow's flight can send his whole image to your eye,
occupying only a small space in the needle's eye how can you
[expect] in so small a figure to distinguish or see the nose or
mouth or any detail of his person? and, not seeing these you cannot
recognise the man, since these features, which he does not show, are
what give men different aspects.

568.

THE REASON WHY SMALL FIGURES SHOULD NOT BE MADE FINISHED.

I say that the reason that objects appear diminished in size is
because they are remote from the eye; this being the case it is
evident that there must be a great extent of atmosphere between the
eye and the objects, and this air interferes with the distinctness
of the forms of the object. Hence the minute details of these
objects will be indistinguishable and unrecognisable. Therefore, O
Painter, make your smaller figures merely indicated and not highly
finished, otherwise you will produce effects the opposite to nature,
your supreme guide. The object is small by reason of the great
distance between it and the eye, this great distance is filled with
air, that mass of air forms a dense body which intervenes and
prevents the eye seeing the minute details of objects.

569.

Whenever a figure is placed at a considerable distance you lose
first the distinctness of the smallest parts; while the larger parts
are left to the last, losing all distinctness of detail and outline;
and what remains is an oval or spherical figure with confused edges.

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