Geometry Quotes - Page 12

• Having been the discoverer of many splendid things, he is said to have asked his friends and relations that, after his death, they should place on his tomb a cylinder enclosing a sphere, writing on it the proportion of the containing solid to that which is contained.

  Archimedes

  Writing, Science, Spheres

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• Geometry is moribund. I want a lilt and joy to art.

  Ellsworth Kelly

  Art, Joy, Want

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• Now, the reason that we think computer science is about computers is pretty much the same reason that the Egyptians thought geometry was about surveying instruments. And that is, when some field is just getting started and you don't really understand it very well, it's very easy to confuse the essence of what you're doing with the tools that you use.

  Hal Abelson

  Thinking, Essence, Tools

  "Overview and Introduction to Lisp". Introduction of video of lectures on the "Structure and Interpretation of Computer Programs", ocw.mit.edu. 1986.

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• Why waste words? Geometry existed before the Creation, is co-eternal with the mind of God, is God himself (what exists in God that is not God himself?): geometry provided God with a model for the Creation and was implanted into man, together with God's own likeness - and not merely conveyed to his mind through the eyes.

  Johannes Kepler

  Eye, Men, History

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• It seems to us unwise to have insisted on teaching geometry to the younger Dionysius, tyrant of Syracuse, in order to make him a good king, but from Plato's point of view it was essential. He was sufficiently Pythagorean to think that without mathematics no true wisdom is possible.

  Bertrand Russell

  Kings, Plato, Teaching

  Bertrand Russell (2013). “History of Western Philosophy: Collectors Edition”, p.95, Routledge

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• Those arts which are, to be sure, not finite, as geometry and arithmetic, do not suffer adornment; others, contrarily, are rather subject to division and embellishment, such as astronomy and jurisprudence.

  Gerolamo Cardano

  Art, Suffering, Jurisprudence

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• At the Egyptian city of Naucratis there was a famous old god whose name was Theuth; the bird which is called the Ibis was sacred to him, and he was the inventor of many arts, such as arithmetic and calculation and geometry and astronomy and draughts and dice, but his great discovery was the use of letters.

  Plato

  Art, Science, Discovery

  Plato (2010). “The Works of Plato: The Trial and Death of Socrates”, p.442, Cosimo, Inc.

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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

  Firsts, Easier, Investigation

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• There are infinitely many variations of the initial situation and therefore no doubt indefinitely many theorems of moral geometry.

  John Rawls

  Doubt, Variation, Moral

  "A Theory of Justice". Book by John Rawls, 1971.

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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

  Science, Identity, Purpose

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• Now, a good education is about so much more than just learning geometry or memorizing dates in history. All of that is important, but an education is also about exploring new things -- discovering what makes you come alive, and then being your best at whatever you choose

  Michelle Obama

  Education, Important, Alive

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• ... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It's not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I'm able to avoid or manipulate or process pain.

  Louise Bourgeois

  Pain, Lines, Able

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• It would be foolish to give credit to Euclid for pangeometrical conceptions; the idea of geometry deifferent from the common-sense one never occurred to his mind. Yet, when he stated the fifth postulate, he stood at the parting of the ways. His subconscious prescience is astounding. There is nothing comperable to it in the whole history of science.

  George Sarton

  Ideas, Common Sense, Giving

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• My old geometry teacher called me and he was like yo man you need to start wearing a shirt. You're ruining my marriage.

  Drew Chadwick

  Teacher, Men, Needs

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• The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.

  Henry David Thoreau

  Exercise, Science, Mind

  Henry David Thoreau (2014). “The Illustrated "A Week on the Concord and Merrimack Rivers"”, p.362, Princeton University Press

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• I entered an omnibus to go to some place or other. At that moment when I put my foot on the step the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with non-Euclidean geometry.

  Henri Poincare

  Ideas, Feet, Steps

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• [Computer science] is not really about computers and it's not about computers in the same sense that physics is not really about particle accelerators, and biology is not about microscopes and Petri dishes... and geometry isn't really about using surveying instruments.

  Hal Abelson

  Computer, Physics, Biology

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• Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine is too complicated for all the elements to be able to enter into the analytical comparison we wish to make, we separate the more inconvenient [elements], we substitute others for them, less troublesome but also less real, and we are surprised to arrive, notwithstanding a painful labour, only at a result contradicted by nature; as if after having disguised it, cut it short or altered it, a purely mechanical combination could give it back to us.

  Jean le Rond d'Alembert

  Real, Cutting, Giving

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• Abstraction didn't have to be limited to a kind of rectilinear geometry or even a simple curve geometry. It could have a geometry that had a narrative impact. In other words, you could tell a story with the shapes. It wouldn't be a literal story, but the shapes and the interaction of the shapes and colors would give you a narrative sense. You could have a sense of an abstract piece flowing along and being part of an action or activity. That sort of turned me on.

  Frank Stella

  Simple, Impact, Curves

  Source: www.interviewmagazine.com

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• What we do may be small, but it has a certain character of permanence; and to have produced anything of the slightest permanent interest, whether it be a copy of verses or a geometrical theorem, is to have done something utterly beyond the powers of the vast majority of men.

  G. H. Hardy

  Character, Science, Men

  G. H. Hardy (2012). “A Mathematician's Apology”, p.76, Cambridge University Press

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• Perfect hexagonal tubes in a packed array. Bees are hard-wired to lay them down, but how does an insect know enough geometry to lay down a precise hexagon? It doesn't. It's programmed to chew up wax and spit it out while turning on its axis, and that generates a circle. Put a bunch of bees on the same surface, chewing side-by-side, and the circles abut against each other - deform each other into hexagons, which just happen to be more efficient for close packing anyway.

  Peter Watts

  Circles, Axes, Perfect

  Peter Watts (2014). “Firefall”, p.193, Head of Zeus

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• We learned to put discipline in the haircuts by using actual geometry, actual architectural shapes and bone structure. The cut had to be perfect and layered beautifully, so that when a woman shook it, it just fell back in.

  Vidal Sassoon

  Cutting, Discipline, Perfect

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• I was engaged in all the required courses of math and geometry, but the area that I blossomed in was the art program.

  Paul Smith

  Art, Math, Program

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• Antarctica, one of the things that was so remarkable about it was that the ice itself is a kind of pure geometry, so say, for example, if I was facing someone wearing I don't know, a Joy Division t-shirt with the mountains on it or something like that.

  DJ Spooky

  Ice, Joy, Mountain

  Source: bigthink.com

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• There is certainly the intention of efforts like the Common Core to raise education standards and make sure that every student masters advanced math concepts - algebra, geometry, statistics and probability.

  Anya Kamenetz

  Math, Effort, Statistics

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