“The square is spiritually charged. It is the product of mankind, it is not copied from nature like the circle.”

— Roger Raveel

version in original Flemish (citaat van Roger Raveel, in het Vlaams): Het vierkant is een geestelijk geladen ding. Het is het product van de mens, het is niet afgekeken van de natuur zoals de cirkel.
Quote of Raveel, from his interview in the Dutch newspaper N.R.C., 1991; as cited by Din Pieters in 'Raveel: het vierkant als onbeschreven blad' https://www.nrc.nl/nieuws/1996/01/05/raveel-het-vierkant-als-onbeschreven-blad-7294323-a1018022, in N.R.C.-online, 5 Jan. 1996 (translation: Fons Heijnsbroek)
1990's

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Roger Raveel 10

painter 1921–2013

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“A circle looks at a square and sees a badly made circle.”

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“A painting is above all a product of the artist's imagination, it must never be a copy. If, at a later stage, he wants to add two or three touches from nature, of course it doesn't spoil anything.”

Edgar Degas (1834–1917) French artist

Une peinture, c'est d'abord un produit de l'imagination de l'artiste, ce ne doit jamais être une copie. Si, ensuite, on peut y ajouter deux ou trois accents de nature, evidemment ca ne fait pas de mal.
Quoted by Maurice Sérullaz, L'univers de Degas (H. Scrépel, 1979), p. 13
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“Be sure, from nature never to depart;
To copy nature is the task of art.”
Praeterea haud lateat te nil conarier artem, Naturam nisi ut assimulet, propiusque sequatur. Hanc unam vates sibi proposuere magistram: Quicquid agunt, hujus semper vestigia servant.

Marco Girolamo Vida (1485–1566) Italian bishop

Book II, line 455
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Context: Be sure, from nature never to depart;
To copy nature is the task of art.
The noblest poets own her sovereign sway,
And ever follow where she leads the way.

“Painting from nature is not copying the object, it is realizing sensations.”

Paul Cézanne (1839–1906) French painter

Source: Quotes of Paul Cezanne, after 1900, Cézanne, - a Memoir with Conversations, (1897 - 1906), p. 46, in: 'What I know or have seen of his life'

“Science, like art, is not a copy of nature but a re-creation of her.”

Jacob Bronowski (1908–1974) Polish-born British mathematician

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“Yes it was 1949. How I came to that. That's like how one gets to know a human being. It so happens that I've always had a preference – as everyone has prejudices and preferences – for the square as a shape in preference to the circle as a shape. And I have known for a long time that a circle always fools me by not telling me whether it's standing still or not. And if a circle circulates you don't see it. The outer curve looks the same whether it moves or does not move. So the square is much more honest and tells me that it is sitting on one line of the four, usually a horizontal one, as a basis. And I have also come to the conclusion that the square is a human invention, which makes it sympathetic to me. Because you don't see it in nature. As we do not see squares in nature, I thought that it is man-made. But I have corrected myself. Because squares exist in salt crystals, our daily salt. We know this because we can see it in the microscope. On the other hand, we believe we see circles in nature. But rarely precise ones. Mature, it seems, is not a mathematician. Probably there are no straight lines either. Particularly not since Einstein says in his theory of relativity that there is no straight line, rod knows whether there are or not, I don't. I still like to believe that the square is a human invention. And that tickles me. So when I have a preference for it then I can only say excuse me.”

Josef Albers (1888–1976) German-American artist and educator

Homage to the square' (1964), Oral history interview with Josef Albers' (1968)

“But Shakespeare's magic could not copied be;
Within that circle none durst walk but he.”

John Dryden The Tempest

The Tempest, Prologue.
Bartlett's Familiar Quotations, 10th ed. (1919)

“The true test of all the arts, is not solely whether the production is a true copy of nature, but whether it answers the end of art, which is to produce a pleasing effect upon the mind.”

Joshua Reynolds (1723–1792) English painter, specialising in portraits

Discourse no. 13; vol. 2, p. 136.
Discourses on Art

“Wherefore it is impossible to succeed in comparing wealth of different eras or different nations. This, in political economy, like squaring the circle in mathematics, is impracticable, for want of a common mean or measure to go by.”

Jean-Baptiste Say (1767–1832) French economist and businessman

Source: A Treatise On Political Economy (Fourth Edition) (1832), Book I, On Production, Chapter XXI, Section VI, p. 244

“Hippocrates himself is an example of the concurrent study of the two departments. On the one hand, he was the first of the Greeks who is known to have compiled a book of Elements. This book, we may be sure, contained in particular the most important propositions about the circle included in Euclid, Book III. But a much more important proposition is attributed to Hippocrates; he is said to have been the first to prove that circles are to one another as the squares on their diameters (= Eucl. XII., 2) with the deduction that similar segments of circles are to one another as the squares on their bases. These propositions were used by him in his tract on the squaring of lunes, which was intended to lead up to the squaring of the circle. The latter problem is one which must have exercised practical geometers from time immemorial. Anaxagoras for instance is said to have worked at the problem while in prison.”

Thomas Little Heath (1861–1940) British civil servant and academic

p, 125
Achimedes (1920)

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