Geometry Quotes
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Perhaps you have seen me. I know well, my purpose was merely that of a symbol, 'equals', 'times'... ; but what is said, for all that, was identity-less: a kind of live geometry.
Albert Goldbarth
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I think it's really fascinating that geometry is so difficult. My guess is it's difficult because it focuses on proofs.
Elizabeth Spelke
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Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge.
Archimedes
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Geometry draws the soul towards truth.
Plato
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Once, I went to the roof of a project and saw a hawk perched on the rail; always, you see the city in the near distance, its towers and spires studded with lights, both stately and slapdash, like the crazy geometry of rock crystal. There were many days when you felt sorry for people who worked inside.
Edward Conlon
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I have spent much time in the study of the abstract sciences; but the paucity of persons with whom you can communicate on such subjects disgusted me with them. When I began to study man, I saw that these abstract sciences are not suited to him, and that in diving into them, I wandered farther from my real object than those who knew them not, and I forgave them for not having attended to these things. I expected then, however, that I should find some companions in the study of man, since it was so specifically a duty. I was in error. There are fewer students of man than of geometry.
Blaise Pascal
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Descriptive geometry has two objects: the first is to establish methods to represent on drawing paper which has only two dimensions,-namely, length and width,-all solids of nature which have three dimensions,-length, width, and depth,-provided, however, that these solids are capable of rigorous definition.
The second object is to furnish means to recognize accordingly an exact description of the forms of solids and to derive thereby all truths which result from their forms and their respective positions.
Gaspard Monge
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I need geometry to set the grammar of the image expressive language . The structural skeleton, the composition and the geometric layout provide a perspective from which one can read the image; otherwise we would do what Dadaists did when they put words in a little bag and then took them out at random in order to compose a poem.
Augusto De Luca
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At George Mason University I saw Hoppe present a lecture in which he claimed that Ludwig von Mises had set the intellectual foundation for not only economics, but for ethics, geometry, and optics, as well. This bizarre claim turned a serious scholar and profound thinker into a comical cult figure, a sort of Euro Kim Il Sung.
Tom G. Palmer
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There is no geometry here; or rather there is a secret, infinitely non-Eucledian and subtle geometry, a secret harmony that the mind seizes before the intelligence.
Alan Macfarlane
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For it is the duty of an astronomer to compose the history of the celestial motions or hypotheses about them. Since he cannot in any certain way attain to the true causes, he will adopt whatever suppositions enable the motions to be computed correctly from the principles of geometry for the future as well as for the past.
Andreas Osiander
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In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet make no advance from that state in which it came to us from Euclid.
Nikolai Lobachevsky