The Notebooks of Leonardo da Vinci (1883), II Linear Perspective
The Notebooks of Leonardo da Vinci (1883), II Linear Perspective
The Notebooks of Leonardo da Vinci (1883), II Linear Perspective
The Notebooks of Leonardo da Vinci (1883), II Linear Perspective
Context: The body of the atmosphere is full of infinite radiating pyramids produced by the objects existing in it. These intersect and cross each other with independent convergence without interfering with each other and pass through all the surrounding atmosphere; and are of equal force and value — all being equal to each, each to all. And by means of these, images of the body are transmitted everywhere and on all sides, and each receives in itself every minutest portion of the object that produces it.
Quote from Cézanne's letter to Émile Bernard, 15 April 1904; as quoted in Letters of the great artists – from Blake to Pollock, Richard Friedenthal, Thames and Hudson, London, 1963, p. 180
Quotes of Paul Cezanne, after 1900
“When no point of a line is at a finite distance, the line itself is at an infinite distance.”
Brouillion project (1639) as quoted by Harold Scott MacDonald Coxeter, Projective Geometry (1987)
Quote of Dubuffet in Catalogue, p. 47; as cited by Hubert Damisch, in 'Dubuffet or the Reading of the World', in 'Art de France 2' (1962), p. 337–346 (translated by Kent Minturn and Priya Wadhera)
1960-70's
Source: A System of Logic (1843), p. 4
Context: [W]e may fancy that we see or feel what we in reality infer. Newton saw the truth of many propositions of geometry without reading the demonstrations, but not, we may be sure, without their flashing through his mind. A truth, or supposed truth, which is really the result of a very rapid inference, may seem to be apprehended intuitively. It has long been agreed by thinkers of the most opposite schools, that this mistake is actually made in so familiar an instance as that of the eyesight. There is nothing of which we appear to ourselves to be more directly conscious, than the distance of an object from us. Yet it has long been ascertained, that what is perceived by the eye, is at most nothing more than a variously coloured surface; that when we fancy we see distance, all we really see is certain variations of apparent size, and degrees of faintness of colour; and that our estimate of the object's distance from us is the result of a comparison (made with so much rapidity that we are unconscious of making it) between the size and colour of the object as they appear at the time, and the size and colour of the same or of similar objects as they appeared when close at hand, or when their degree of remoteness was known by other evidence. The perception of distance by the eye, which seems so like intuition, is thus, in reality, an inference grounded on experience; an inference, too, which we learn to make; and which we make with more and more correctness as our experience increases; though in familiar cases it takes place, so rapidly as to appear exactly on a par with those perceptions of sight which are really intuitive, our perceptions of colour.
Source: The Curve of the Snowflake (1956), p. 126.
"Quotations".
Sketches from Life (1846)
Context: Shall we not rejoice then and revel in the glorious liberty of extract, and quote to the thousandth line? Shall we not have pages like the Pyramids? Who ever skipped a quotation, though it made against the interest of the story? Besides, how many books might be numbered that are valuable only in a solitary quotation!—as the oyster is esteemed for the pearl it may sometimes contain.
