Geometry Quotes - Page 8

• What physics tells us is that everything comes down to geometry and the interactions of elementary particles. And things can happen only if these interactions are perfectly balanced.

  Antony Garrett Lisi

  Physics, Interaction, Particles

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• We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with objects - it is a pure theory of manifolds.

  Hans Reichenbach

  Space, Structure, Theory

  Hans Reichenbach (1958). “Philosophie Der Raum-Zeit-Lehre”, p.100, Courier Corporation

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• The power of mathematics is often to change one thing into another, to change geometry into language.

  Marcus du Sautoy

  Motivation, Inspiration, Language

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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

  Math, Oil, Fire

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• I am much occupied with the investigation of the physical causes [of motions in the Solar System]. My aim in this is to show that the celestial machine is to be likened not to a divine organism but rather to a clockwork ... insofar as nearly all the manifold movements are carried out by means of a single, quite simple magnetic force. This physical conception is to be presented through calculation and geometry.

  Johannes Kepler

  Mean, Science, Simple

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• One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.

  Benoit Mandelbrot

  Dream, Long, Together

  Source: bigthink.com

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• The best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry.

  Albert Einstein

  Science, May, Pleasure

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• Our model of the cosmos must be as inexhaustible as the cosmos. A complexity that includes not only duration but creation, not only being but becoming, not only geometry but ethics. It is not the answer we are after, but only how to ask the question.

  Ursula K. Le Guin

  Cosmos, Answers, Duration

  "The Dispossessed". Book by Ursula K. Le Guin, 1974.

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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

  Waiting, Want, Might

  Source: www.pbs.org

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• As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra.

  Augustin-Louis Cauchy

  Science, Giving, Reason

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• I would say, if you like, that the party is like an out-moded mathematics...that is to say, the mathematics of Euclid. We need to invent a non-Euclidian mathematics with respect to political discipline.

  Alain Badiou

  Party, Discipline, Political

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• If I died, would it get me out of my geometry test tomorrow? One could only hope.

  P. C. Cast

  Tests, Tomorrow, Ifs

  P. C. Cast, Kristin Cast (2013). “House of Night Series”, p.11, Macmillan

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• Challenger was lost because NASA came to believe its own propaganda. The agency's deeply impacted cultural hubris had it that technology-engineering-would always triumph over random disaster if certain rules were followed. The engineers-turned-technocrats could not bring themselves to accept the psychology of machines with abandoning the core principle of their own faith: equations, geometry, and repetition-physical law, precision design, and testing-must defy chaos.

  William E. Burrows

  Believe, Technology, Agency

  William E. Burrows (2010). “This New Ocean: The Story of the First Space Age”, p.560, Modern Library

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• But then, Cap'n Crunch in a flake form would be suicidal madness; it would last about as long, when immersed in milk, as snowflakes sifting down into a deep fryer. No, the cereal engineers at General Mills had to find a shape that would minimize surface area, and, as some sort of compromise between the sphere that is dictated by Euclidean geometry and whatever sunken treasure related shapes that the cereal aestheticians were probably clamoring for, they came up with this hard-to-pin-down striated pillow formation.

  Neal Stephenson

  Suicidal, Cereal, Long

  "Cryptonomicon". Book by Neal Stephenson, 1999.

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• The female mind is capable of understanding analytic geometry... The difficulty may just be that we have never yet discovered a way to communicate with the female mind. If it is done in the right way, you may be able to get something out of it.

  Richard P. Feynman

  Understanding, Mind, Female

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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.

  Hermann Hesse

  Taken, Circles, Full Circle

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• Leibniz is at the disadvantage of not having seen it. Or perhaps we should count this as an advantage, for anyone who sees it is dumbfounded by the brilliance of the geometry, and it is difficult to criticize a man’s work when you are down on your knees shielding your eyes.

  Neal Stephenson

  Eye, Men, Knees

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• Books, Manuals, Directives, Regulations. The geometries that circumscribe your working life draw norrower and norrower until nothing fits inside them anymore.

  Lord Byron

  Book, Regulation, Fit

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• 'Tis a short sight to limit our faith in laws to those of gravity, of chemistry, of botany, and so forth. Those laws do not stop where our eyes lose them, but push the same geometry and chemistry up into the invisible plane of social and rational life, so that, look where we will, in a boy's game, or in the strifes of races, a perfect reaction, a perpetual judgment keeps watch and ward.

  Ralph Waldo Emerson

  Eye, Science, Boys

  Ralph Waldo Emerson, Walt McLaughlin (2010). “The Laws of Nature: Excerpts from the Writings of Ralph Waldo Emerson”, p.73, North Atlantic Books

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• The geometry reveals five development direction for applications (each with endless possibilities); dividing, dwelling, trestle, fenestration and artistic installation. I find these enabled designs so reflective of an ever-changing world where contextual factors and technological resources are shifting definitions of architecture, design, and the traditional boundaries between disciplines.

  Dror Benshetrit

  Dwelling, Discipline, Design

  Source: www.huffingtonpost.com

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• ...the differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors.

  Hans Reichenbach

  Space, Curves, Views

  Hans Reichenbach (1958). “Philosophie Der Raum-Zeit-Lehre”, p.83, Courier Corporation

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• The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.

  Hans Reichenbach

  Mean, Doe, Congruence

  "The Philosophy of Space and Time". Book by Hans Reichenbach, 1957.

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• ..if a special geometry has to be invented in order to account for a falling apple, even Newton might be appalled at the complications which would ensue when really difficult problems are tackled.

  Oliver Lodge

  Fall, Order, Apples

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• [In comedy] you never want to leave the actors hanging out to dry. So you need to come up with funny individual stories for each character, and then you do this sort of comedy geometry, weaving them together. Once you've got a funny structure and you know why the scenes are funny, then you get super funny people to say your own lines, say their own lines, say things in their own way, and every scene is a live rewrite in front of the camera.

  Jeff Schaffer

  Character, People, Together

  Source: espn.go.com

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• It turns out that hyperbolic structures are very common in nature, and the place where lots of people encounter them is coral reefs. Sea slugs, and a lot of other organisms with frilly forms, are biological manifestations of hyperbolic geometry, which is also found in the structure of lettuce leaves and kales, and some species of cactus.

  Margaret Wertheim

  People, Common, Manifestation

  Source: www.guernicamag.com

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