Geometry Quotes
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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.
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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.
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Any one who has stood upon a lofty summit and gazed over an inchoate tangle of deep canyons and cragged mountains, of sunlit lakelets and black expanses of forest, has become aware of a certain giddy sensation that there are no distances, no measures, simply unrelated matter rising and falling without any analogy to the banal geometry of breadth, thickness, and height.
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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.
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Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
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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.
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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.
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His way had therefore come full circle, or rather had taken the form of an ellipse or a spiral, following as ever no straight unbroken line, for the rectilinear belongs only to Geometry and not to Nature and Life.
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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.
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Let no one destitute of geometry enter my doors.
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Geometry draws the soul towards truth.
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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.
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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.
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If the chemistry is right between star and photographer and the geometry of the pictures pleases the star, often the two people end up with a long-term professional friendship during which they continue to work together and to produce highly personal images.
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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.
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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.
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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.
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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.
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Geometry is the noblest branch of physics.
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The interior of the Zigana Mosque, a beehivelike geodesic dome composed of pointed arches of honey-colored stone, was based on al-Biruni’s sacred geometry.
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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.
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All the standard equations of mathematical physics can be separated and solved in Kerr geometry.
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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.
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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.
