A Treatise on Painting by da Vinci Leonardo, is part of the HackerNoon Books Series. You can jump to any chapter in this book . LINEAR PERSPECTIVE. here LINEAR PERSPECTIVE. Chap. CXII.— Of those who apply themselves to the Practice, without having learnt the Theory of the Art. Those who become enamoured of the practice of the art, without having previously applied to the diligent study of the scientific part of it, may be compared to mariners, who put to sea in a ship without rudder or compass, and therefore cannot be certain of arriving at the wished-for port. Practice must always be founded on good theory; to this, Perspective is the guide and entrance, without which nothing can be well done. Chap. CXIII.— Precepts in Painting. Perspective is to Painting what the bridle is to a horse, and the rudder to a ship. The size of a figure should denote the distance at which it is situated. If a figure be seen of the natural size, remember that it denotes its being near to the eye. Chap. CXIV.— Of the Boundaries of Objects called Outlines or Contours. The outlines or contours of bodies are so little perceivable, that at any small distance between that and the object, the eye will not be able to recognise the features of a friend or relation, if it were not for their clothes and general appearance. So that by the knowledge of the whole it comes to know the parts. Chap. CXV.— Of linear Perspective. Linear Perspective consists in giving, by established rules, the true dimensions of objects, according to their respective distances; so that the second object be less than the first, the third than the second, and by degrees at last they become invisible. I find by experience, that, if the second object be at the same distance from the first, as the first is from the eye, though they be of the same size, the second will appear half the size of the first; and, if the third be at the same distance behind the second, it will diminish two thirds; and so on, by degrees, they will, at equal distances, diminish in proportion; provided that the interval be not more than twenty cubits; at which distance it will lose two fourths of its size: at forty it will diminish three fourths; and at sixty it will lose five sixths, and so on progressively. But you must be distant from your picture twice the size of it; for, if you be only once the size, it will make a great difference in the measure from the first to the second. Chap. CXVI.— What Parts of Objects disappear first by Distance. Those parts which are of less magnitude will first vanish from the sight. This happens, because the shape of small objects, at an equal distance, comes to the eye under a more acute angle than the large ones, and the perception of them is less, in proportion as they are less in magnitude. It follows then, that if the large objects, by being removed to a great distance, and consequently coming to the eye by a small angle, are almost lost to the sight, the small objects will entirely disappear. Chap. CXVII.— Of remote Objects. The outlines of objects will be less seen, in proportion as they are more distant from the eye. Chap. CXVIII.— Of the Point of Sight. The point of sight must be on a level with the eyes of a common-sized man, and placed upon the horizon, which is the line formed by a flat country terminating with the sky. An exception must be made as to mountains, which are above that line. Chap. CXIX.— A Picture is to be viewed from one Point only. This will be proved by one single example. If you mean to represent a round ball very high up, on a flat and perpendicular wall, it will be necessary to make it oblong, like the shape of an egg, and to place yourself (that is, the eye, or point of view) so far back, as that its outline or circumference may appear round. Chap. CXX.— Of the Dimensions of the first Figure in an historical Painting. The first figure in your picture will be less than Nature, in proportion as it recedes from the front of the picture, or the bottom line; and by the same rule the others behind it will go on lessening in an equal degree. Chap. CXXI.— Of Objects that are lost to the Sight in Proportion to their Distance. The first things that disappear, by being removed to some distance, are the outlines or boundaries of objects. The second, as they remove farther, are the shadows which divide contiguous bodies. The third are the thickness of legs and feet; and so in succession the small parts are lost to the sight, till nothing remains but a confused mass, without any distinct parts. Chap. CXXII.— Errors not so easily seen in small Objects as in large ones. Supposing this small object to represent a man, or any other animal, although the parts, by being so much diminished or reduced, cannot be executed with the same exactness of proportion, nor finished with the same accuracy, as if on a larger scale, yet on that very account the faults will be less conspicuous. For example, if you look at a man at the distance of two hundred yards, and with all due attention mean to form a judgment, whether he be handsome or ugly, deformed or well made, you will find that, with all your endeavours, you can hardly venture to decide. The reason is, that the man diminishes so much by the distance, that it is impossible to distinguish the parts minutely. If you wish to know by demonstration the diminution of the above figure, hold your finger up before your eye at about nine inches distance, so that the top of your finger corresponds with the top of the head of the distant figure: you will perceive that your finger covers, not only its head, but part of its body; which is an evident proof of the apparent diminution of that object. Hence it often happens, that we are doubtful, and can scarcely, at some distance, distinguish the form of even a friend. Chap. CXXIII.— Historical Subjects one above another on the same Wall to be avoided. This custom, which has been generally adopted by painters, on the front and sides of chapels, is much to be condemned. They begin with an historical picture, its landscape and buildings, in one compartment. After which, they raise another compartment, and execute another history with other buildings upon another level; and from thence they proceed to a third and fourth, varying the point of sight, as if the beholder was going up steps, while, in fact, he must look at them all from below, which is very ill judged in those matters. We know that the point of sight is the eye of the spectator; and if you ask, how is a series of subjects, such as the life of a saint, to be represented, in different compartments on the same wall? I answer, that you are to place the principal event in the largest compartment, and make the point of sight as high as the eye of the spectator. Begin that subject with large figures; and as you go up, lessen the objects, as well the figures, as buildings, varying the plans according to the effect of perspective; but never varying the point of sight: and so complete the series of subjects, till you come to a certain height, where terrestrial objects can be seen no more, except the tops of trees, or clouds and birds; or if you introduce figures, they must be aerial, such as angels, or saints in glory, or the like, if they suit the purpose of your history. If not, do not undertake this kind of painting, for your work will be faulty, and justly reprehensible. Chap. CXXIV.— Why Objects in Painting can never detach, as natural Objects do. Painters often despair of being able to imitate Nature, from observing, that their pictures have not the same relief, nor the same life, as natural objects have in a looking-glass, though they both appear upon a plain surface. They say, they have colours which surpass in brightness the quality of the lights, and in darkness the quality of the shades of the objects seen in the looking-glass; but attribute this circumstance to their own ignorance, and not to the true cause, because they do not know it. It is impossible that objects in painting should appear with the same relief as those in the looking-glass, unless we look at them with only one eye. The reason is this. The two eyes A B looking at objects one behind another, as M and N, see them both; because M cannot entirely occupy the space of N, by reason that the base of the visual rays is so broad, that the second object is seen behind the first. But if one eye be shut, and you look with the other S, the body F will entirely cover the body R, because the visual rays beginning at one point, form a triangle, of which the body F is the base, and being prolonged, they form two diverging tangents at the two extremities of F, which cannot touch the body R behind it, therefore can never see it. Chap. CXXV.— How to give the proper Dimension to Objects in Painting. In order to give the appearance of the natural size, if the piece be small (as miniatures), the figures on the fore-ground are to be finished with as much precision as those of any large painting, because being small they are to be brought up close to the eye. But large paintings are seen at some distance; whence it happens, that though the figures in each are so different in size, in appearance they will be the same. This proceeds from the eye receiving those objects under the same angle; and it is proved thus. Let the large painting be B C, the eye A, and D E a pane of glass, through which are seen the figures situated at B C. I say that the eye being fixed, the figures in the copy of the paintings B C are to be smaller, in proportion as the glass D E is nearer the eye A, and are to be as precise and finished. But if you will execute the picture B C upon the glass D E, this ought to be less finished than the picture B C, and more so than the figure M N transferred upon the glass F G; because, supposing the figure P O to be as much finished as the natural one in B C, the perspective of O P would be false, since, though in regard to the diminution of the figure it would be right, B C being diminished in P O, the finishing would not agree with the distance, because in giving it the perfection of the natural B C, B C would appear as near as O P; but, if you search for the diminution of O P, O P will be found at the distance B C, and the diminution of the finishing as at F G. Chap. CXXVI.— How to draw accurately any particular Spot. Take a glass as large as your paper, fasten it well between your eye and the object you mean to draw, and fixing your head in a frame (in such a manner as not to be able to move it) at the distance of two feet from the glass; shut one eye, and draw with a pencil accurately upon the glass all that you see through it. After that, trace upon paper what you have drawn on the glass, which tracing you may paint at pleasure, observing the aerial perspective. Chap. CXXVII.— Disproportion to be avoided, even in the accessory Parts. A great fault is committed by many painters, which is highly to be blamed, that is, to represent the habitations of men, and other parts of their compositions, so low, that the doors do not reach as high as the knees of their inhabitants, though, according to their situation, they are nearer to the eye of the spectator, than the men who seem willing to enter them. I have seen some pictures with porticos, supported by columns loaded with figures; one grasping a column against which it leans, as if it were a walking-stick, and other similar errors, which are to be avoided with the greatest care. About HackerNoon Book Series: We bring you the most important technical, scientific, and insightful public domain books. This book is part of the public domain. da Vinci Leonardo (2014). A Treatise on Painting. Urbana, Illinois: Project Gutenberg. Retrieved https://www.gutenberg.org/cache/epub/46915/pg46915-images.html This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at , located at . www.gutenberg.org https://www.gutenberg.org/policy/license.html

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