Geometry Quotes
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Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
Thomas Hobbes
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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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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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The prime ideal is a princess of the world of ideals. Her father is the prince 'Point' in the world of geometry. Her mother is the princess 'Prime Numbers' in the world of numbers. She inherits the purity from her parents.
Kato
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The attempt to apply rational arithmetic to a problem in geometry resulted in the first crisis in the history of mathematics. The two relatively simple problems -- the determination of the diagonal of a square and that of the circumference of a circle -- revealed the existence of new mathematical beings for which no place could be found within the rational domain.
David van Dantzig
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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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Let no one destitute of geometry enter my doors.
Plato
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If you see a theme that you might want to take a photo of, you sort of stand there for an hour waiting for it to resolve, waiting for the geometry of a theme to be exactly what you want them to be. That was my process to get photos.
Teju Cole
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Our studies show these abilities are universal, and they develop in the absence of instruction. You don't need to take a class in geometry, and you don't need to learn from a teacher what a right triangle is in order to show this sensitivity.
Elizabeth Spelke
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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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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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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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The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry as did Clifford, for geometry is only a part of the vaster domain which he renovated; it might even be just to designate him as a Copernicus of all thought.
Eric Temple Bell
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Geometry is the noblest branch of physics.
William Fogg Osgood
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Geometry draws the soul towards truth.
Plato
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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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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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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
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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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...to characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
Carl Gustav Hempel
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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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... being perpetually charmed by his familiar siren, that is, by his geometry, he neglected to eat and drink and took no care of his person; that he was often carried by force to the baths, and when there he would trace geometrical figures in the ashes of the fire, and with his finger draws lines upon his body when it was anointed with oil, being in a state of great ecstasy and divinely possessed by his science.
Plutarch
