Da Vinci Notes #30 - Difference Causes Clarity
The comparative size of the image depends on the amount of light
(30-39).
The eye will hold and retain in itself the image of a luminous body
better than that of a shaded object. The reason is that the eye is
in itself perfectly dark and since two things that are alike cannot
be distinguished, therefore the night, and other dark objects cannot
be seen or recognised by the eye.
Light is totally contrary and gives more distinctness, and counteracts
and differs from the usual darkness of the eye, hence it leaves the
impression of its image.
Keith's Ideas:
1. If unsure or unclear, find something related, but different to compare.
2. Things similar will cause you confused. Identifying the differentiations
promote clarity.
3. Find friends/partners totally different from you.
Keith To
www.excelcentre.net
Da Vinci Notes #29 - 2-D & 3-D View
Let the object in relief _t_ be seen by both eyes; if you will look
at the object with the right eye _m_, keeping the left eye _n_ shut,
the object will appear, or fill up the space, at _a_;
and if you shut the right eye and open the left, the object (will
occupy the) space _b_; and if you open both eyes, the object will
no longer appear at _a_ or _b_, but at _e_, _r_, _f_.
Why will not a picture seen by both eyes produce the effect of relief,
as [real] relief does when seen by both eyes; and why should a
picture seen with one eye give the same effect of relief as real relief
would under the same conditions of light and shade?
Keith's Remarks: Relief = A projection of figures or forms from a flat
background, as in sculpture
1. You can "see" the thing with only one eye opened, but you can't
see it exactly. It only have a 2-D view!
2. Each eye "see" different aspects of the same thing; Both eyes
give you a whole 3-D view.
3. A reproduction (picture, photo, rumor, etc) only reflects a single
aspect as seen by the reproducer. No matter how to analyze a
reproduction, you can't get the whole view. Go directly to that
"thing" and see it by yourself.
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Da Vinci Notes #28 - When You Change, Your Perception Changes
The motion of a spectator who sees an object at rest often makes it
seem as though the object at rest had acquired the motion of the
ON PAINTING.
Objects in relief, when seen from a short distance with one eye,
look like a perfect picture. If you look with the eye _a_, _b_ at
the spot _c_, this point _c_ will appear to be at _d_, _f_, and if
you look at it with the eye _g_, _h_ will appear to be at _m_. A
Da Vinci Notes #27 - Use Both of Your Eyes
Objects seen by one and the same eye appear sometimes large, and
Da Vinci Notes #26 - Using Both Eyes for Clarity
OF THE EYE.
When both eyes direct the pyramid of sight to an object, that object
Da Vinci Notes #25 - Clarity Deminishing If Too Near
Focus of sight.
If the eye is required to look at an object placed too near to it,
it cannot judge of it well--as happens to a man who tries to see the
tip of his nose. Hence, as a general rule, Nature teaches us that an
object can never be seen perfectly unless the space between it and
Da Vinci Notes #24 - Illusions
Variability of the eye.
1st. The pupil of the eye contracts, in proportion to the increase
of light which is reflected in it. 2nd. The pupil of the eye expands
in proportion to the diminution in the day light, or any other
light, that is reflected in it.
3rd. The eye perceives and recognises the objects of its vision
with greater intensity in proportion as the pupil is more widely
dilated; and this can be proved by the case of nocturnal animals,
such as cats, and certain birds--as the owl and others--in which
the pupil varies in a high degree from large to small, &c., when
in the dark or in the light.
4th. The eye [out of doors] in an illuminated atmosphere sees
darkness behind the windows of houses which [nevertheless] are
light. 5th. All colours when placed in the shade appear of an equal
degree of darkness, among themselves. 6th. But all colours when
placed in a full light, never vary from their true and essential
OF THE 10 ATTRIBUTES OF THE EYE, ALL CONCERNED IN PAINTING.
Painting is concerned with all the 10 attributes of sight; which
are:-- Darkness, Light, Solidity and Colour, Form and Position,
Distance and Propinquity*, Motion and Rest.
This little work of mine will be a tissue [of the studies] of these
attributes, reminding the painter of the rules and methods by
which he should use his art to imitate all the works of Nature
which adorn the world.
* Keith's Remark: Propinquity = Proximity; nearness
1. To see the world totally, you need a complete view of all
attributes (10?!)
2. See all you can see, not what you want to see.
3. Our eyes give us the power of seeing everything.
4. Our mind gives us power to think everything.
5. It is our "wants" that limit your eyes and your mind.
Da Vinci Code #22 - Seeing is the Reproduction of the Actual Things
Here [in the eye] forms, here colours, here the character of every
part of the universe are concentrated to a point; and that point is
so marvellous a thing ... Oh! marvellous, O stupendous Necessity--by
thy laws thou dost compel every effect to be the direct result of
its cause, by the shortest path. These [indeed] are miracles;...
In so small a space it can be reproduced and rearranged in its whole
expanse. Describe in your anatomy what proportion there is between
the diameters of all the images in the eye and the distance from
Da Vinci Notes #21 - Ignorance
INTRODUCTION TO PERSPECTIVE:--THAT IS OF THE FUNCTION OF THE EYE.
Behold here O reader! a thing concerning which we cannot trust our
forefathers, the ancients, who tried to define what the Soul and
Life are--which are beyond proof, whereas those things, which can at
any time be clearly known and proved by experience, remained for
many ages unknown or falsely understood.
The eye, whose function we so certainly know by experience, has,
down to my own time, been defined by an infinite number of authors
as one thing; but I find, by experience, that it is quite another.
1. People can believe in something that haven't been proven.
2. People can ignore something that have been proven.
3. Very common things, can easily be misunderstood.
www.keithto.ws
Da Vinci Notes #20 - Modeling
The painter who draws merely by practice and by eye, without any
reason, is like a mirror which copies every thing placed in front of
Da Vinci Notes #19 - Doing Without Knowledge
OF THE MISTAKES MADE BY THOSE WHO PRACTISE
WITHOUT KNOWLEDGE.
Those who are in love with practice without knowledge are like the
sailor who gets into a ship without rudder or compass and who never
can be certain whether he is going. Practice must always be founded
on sound theory, and to this Perspective is the guide and the
gateway; and without this nothing can be done well in the matter of
Da Vinci Notes #18 - Rules
These rules are of use only in correcting the figures; since every
man makes some mistakes in his first compositions and he who knows
them not, cannot amend them. But you, knowing your errors, will
correct your works and where you find mistakes amend them, and
remember never to fall into them again. But if you try to apply
these rules in composition you will never make an end, and will
produce confusion in your works.
These rules will enable you to have a free and sound judgment; since
good judgment is born of clear understanding, and a clear
understanding comes of reasons derived from sound rules, and sound
rules are the issue of sound experience--the common mother of all
the sciences and arts. Hence, bearing in mind the precepts of my
rules, you will be able, merely by your amended judgment, to
criticise and recognise every thing that is out of proportion in a
work, whether in the perspective or in the figures or any thing
else.
1. Making Mistakes = Violating Rules
2. Then, find out the rule!
3. Mistakes again and again, why? You still don;t know the rules!
4. Rule = Right or Wrong.
5. Good Rules = Reasons + Experience
6. Don't judge anything if you don't know the rules, or you haven't proved the rules.
Da Vinci Notes #17 - Major & Minor Points
ON THE SECTIONS OF [THE BOOK ON] PAINTING.
The first thing in painting is that the objects it represents should
appear in relief, and that the grounds surrounding them at different
distances shall appear within the vertical plane of the foreground
of the picture by means of the 3 branches of Perspective, which are:
the diminution in the distinctness of the forms of the objects, the
diminution in their magnitude; and the diminution in their colour.
And of these 3 classes of Perspective the first results from [the
structure of] the eye, while the other two are caused by the
atmosphere which intervenes between the eye and the objects seen
by it.
The second essential in painting is appropriate action and a due variety
in the figures, so that the men may not all look like brothers, &c.
1. When you think/present something, define clearly your major and
minor points.
2. Your perception is affected by both how you see it and its
environment.
3. Things can't be 100% identical.
Da Vinci Notes #16 - Diminshing When Far Away
THE DISCOURSE ON PAINTING
Perspective, as bearing on drawing, is divided into three principal
sections; of which the first treats of the diminution in the size of
bodies at different distances. The second part is that which treats
of the diminution in colour in these objects. The third [deals with]
the diminished distinctness of the forms and outlines displayed by
the objects at various distances.
1. When thing becomes far away (in space or time), it deminishes
size (serousness? importance?), colours (realness?) and
distincness (clarity).
2. Do things on site.
3. Managing by Wandering Around.
4. Do it Now!
Da Vinci Notes #15 - Transfer of Principles
ON PAINTING AND PERSPECTIVE
The divisions of Perspective are 3, as used in drawing; of these,
the first includes the diminution in size of opaque objects; the
second treats of the diminution and loss of outline in such opaque
objects; the third, of the diminution and loss of colour at long
Da Vinci Notes #14 - Things Far Away
ON THE THREE BRANCHES OF PERSPECTIVE.
There are three branches of perspective; the first deals with the
reasons of the (apparent) diminution of objects as they recede from
the eye, and is known as Diminishing Perspective.--The second
contains the way in which colours vary as they recede from the eye.
The third and last is concerned with the explanation of how the
objects [in a picture] ought to be less finished in proportion as
they are remote (and the names are as follows):
Linear Perspective. The Perspective of Colour. The Perspective of
Disappearance.
1. When seeing things from far away, illusions form. Don't stay too far.
2. You see things differently at different perspectives.
3. When you see your problem from far away, it becomes much less
threatening.
4. When you plan/predict something in the far future, make it less
concrete.
Da Vinci Notes #13 - Different Perspectives
Among all the studies of natural causes and reasons, Light chiefly
delights the beholder; and among the great features of Mathematics
the certainty of its demonstrations is what preeminently (tends to)
elevate the mind of the investigator. Perspective, therefore, must
be preferred to all the discourses and systems of human learning. In
this branch [of science] the beam of light is explained on those
methods of demonstration which form the glory not so much of
Mathematics as of Physics and are graced with the flowers of both.
But its axioms being laid down at great length, I shall abridge them
to a conclusive brevity, arranging them on the method both of their
natural order and of mathematical demonstration; sometimes by
deduction of the effects from the causes, and sometimes arguing
the causes from the effects; adding also to my own conclusions
some which, though not included in them, may nevertheless be
inferred from them. Thus, if the Lord--who is the light of all things--
vouchsafe to enlighten me, I will treat of Light; wherefore I will
divide the present work into 3 Parts.
1. To truly understand something, we need to see things from different
perspectives.
2. More importantly, be aware of which perspective you are taking all
the time.
3. You can deduce the causes from the effects and/or induce the effects
from the causes.
Da Vinci Notes #12 - Ignorance
Many will think they may reasonably blame me by alleging that my
proofs are opposed to the authority of certain men held in the
highest reverence by their inexperienced judgments; not considering
that my works are the issue of pure and simple experience, who is
the one true mistress. These rules are sufficient to enable you to
know the true from the false--and this aids men to look only for
things that are possible and with due moderation--and not to wrap
yourself in ignorance, a thing which can have no good result, so
Da Vinci Notes #11 - Inventor & Copycat
Though I may not, like them, be able to quote other authors, I shall
rely on that which is much greater and more worthy:--on experience,
the mistress of their Masters. They go about puffed up and pompous,
dressed and decorated with [the fruits], not of their own labours,
but of those of others. And they will not allow me my own. They will
scorn me as an inventor; but how much more might they--who are not
inventors but vaunters and declaimers of the works of others--be
blamed.
And those men who are inventors and interpreters between Nature and
Man, as compared with boasters and declaimers of the works of
others, must be regarded and not otherwise esteemed than as the
object in front of a mirror, when compared with its image seen in
the mirror. For the first is something in itself, and the other
nothingness.--Folks little indebted to Nature, since it is only by
chance that they wear the human form and without it I might class
I know that many will call this useless work and they will be those of whom Demetrius declared that he took no more
account of the wind that came out their mouth in words, than of
that they expelled from their lower parts: men who desire nothing
but material riches and are absolutely devoid of that of wisdom,
which is the food and the only true riches of the mind.
For so much more worthy as the soul is than the body, so much more
noble are the possessions of the soul than those of the body. And
often, when I see one of these men take this work in his hand, I
wonder that he does not put it to his nose, like a monkey, or ask me
if it is something good to eat.
I am fully concious that, not being a literary man, certain
presumptuous persons will think that they may reasonably blame me;
alleging that I am not a man of letters. Foolish folks! Do they not
know that I might retort as Marius did to the Roman Patricians
by saying: That they, who deck themselves out in the labours of
others will not allow me my own. They will say that I, having no
literary skill, cannot properly express that which I desire to treat of
but they do not know that my subjects are to be dealt with by
experience rather than by words and has been the mistress of
those who wrote well. And so, as mistress, I will cite her in all cases.
1. Wisdom might not be understood by everyone.
2. Many people might be too busy in their daily lives. They might not
be able to see the truth.
3. Something written or presented beautifully just might not be true.
Da Vinci Notes #9 - Best not equal to Appropriate
Seeing that I can find no subject specially useful or
pleasing -- since the men who have come before me have taken for their
own every useful or necessary theme -- I must do like one who, being
poor, comes last to the fair, and can find no other way of providing
himself than by taking all the things already seen by other buyers,
and not taken but refused by reason of their lesser value. I, then,
will load my humble pack with this despised and rejected
merchandise, the refuse of so many buyers; and will go about to
distribute it, not indeed in great cities, but in the poorer towns,
Da Vinci Notes #8 - Thinking Sequence
The order of your book must proceed on this plan: first simple
beams, then (those) supported from below, then suspended in part,
Da Vinci Notes #7 - Understanding Before Invention (Innovation)
The Book of the science of Mechanics must precede the Book of useful
Da Vinci Notes #6 - New + Old
I am not to blame for putting forward, in the course of my work on
Da Vinci Notes #5 - Theory & Application
Of digging a canal. Put this in the Book of useful inventions and in
proving them bring forward the propositions already proved. And this
is the proper order; since if you wished to show the usefulness of
any plan you would be obliged again to devise new machines to prove
its utility and thus would confuse the order of the forty Books and
also the order of the diagrams;
that is to say you would have to mix up practice with theory, which
would produce a confused and incoherent work.
Begun at Florence, in the house of Piero di Braccio Martelli, on the
22nd day of March 1508. And this is to be a collection without
order, taken from many papers which I have copied here, hoping to
arrange them later each in its place, according to the subjects of
which they may treat.
But I believe that before I am at the end of this [task] I shall have
to repeat the same things several times; for which, O reader! do
not blame me, for the subjects are many and memory cannot retain
them [all] and say: 'I will not write this because I wrote it before.'
And if I wished to avoid falling into this fault, it would be necessary
in every case when I wanted to copy [a passage] that, not to repeat
myself, I should read over all that had gone before; and all the more
since the intervals are long between one time of writing and the next.
Da Vinci Notes #1
When you put together the science of the motions of water, remember
to include under each proposition its application and use, in order
How by a certain machine many may stay some time under water. And
how and wherefore I do not describe my method of remaining under
water and how long I can remain without eating. And I do not publish
nor divulge these, by reason of the evil nature of men, who would
use them for assassinations at the bottom of the sea by destroying
ships, and sinking them, together with the men in them. Nevertheless
I will impart others, which are not dangerous because the mouth of
the tube through which you breathe is above the water, supported on