Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.Johannes Kepler

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Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.Benoit Mandelbrot

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The knowledge of which geometry aims is the knowledge of the eternal.Plato

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Geometry alone is not enough to portray human desires, expressions, aspirations, joys. We need more.Akira Yoshizawa

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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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Algebra is but written geometry and geometry is but figured algebra.Sophie Germain

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Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence.Ibn Khaldun

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Mighty is geometry; joined with art, resistless.Euripides

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Geometry enlightlens the intellect and sets one's mind right.Ibn Khaldun

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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

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Geometry is the noblest branch of physics.William Fogg Osgood

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Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.Benoit Mandelbrot

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Geometry is one of the handles of science and philosophy.Xenocrates

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It is through geometry that one purifies the eye of the soul.Plato

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While fractal geometry is often used in high-tech science, its patterns are surprisingly common in traditional African designs.Ron Eglash

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Geometry is the most complete science.David Hilbert

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Geometry will draw the soul toward truth and create the spirit of philosophy.Plato

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There is no royal road to geometry.Euclid

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Geometry is the foundation of all painting.Albrecht Dürer,

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Plane geometry is sort of the key course where you learn about proving things and abstraction.Sheldon Lee Glashow

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Geometry is the archetype of the beauty of the world.Johannes Kepler

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The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.Isaac Newton

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A work of morality, politics, criticism will be more elegant, other things being equal, if it is shaped by the hand of geometry.Bernard le Bovier de Fontenelle

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Where there is matter, there is geometry.Johannes Kepler

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Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lines as shortest lines as well as their relations of intersection.Hans Reichenbach

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One geometry cannot be more true than another; it can only be more convenient; Geometry is not true, it is advantageous.Robert M. Pirsig

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Geometry is one and eternal shining in the mind of God. That share in it accorded to humans is one of the reasons that humanity is the image of God.Johannes Kepler

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Geometry is knowledge of the eternally existent.Pythagoras

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Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but halfway comprehends the meaning.William Whewell

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The circle is the fundamental geometry of open human communication.Harrison Owen

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Geometry is the art of correct reasoning from incorrectly drawn figures.Henri Poincare

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Geometry is the science of correct reasoning on incorrect figures.George Polya

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You can't criticize geometry. It's never wrong.Paul Rand

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Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.David Hilbert

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Geometry is knowledge that appears to be produced by human beings, yet whose meaning is totally independent of them.Rudolf Steiner

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Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!Jean Dieudonne

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Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.Felix Klein

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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

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The geometry of the things around us creates coincidences, intersections.Erri De Luca

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Geometry is beautifully logical, and it teaches you how to think and prove that things are so, step by step by step. Proofs are excellent lessons in reasoning. Without logic and reasoning, you are dependent on jumping to conclusions or - worse - having empty opinions.Marilyn vos Savant

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There is geometry in the humming of the strings, there is music in the spacing of the spheres.Pythagoras

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Geometry is the rules of all mental investigation.Mikhail Lomonosov

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O king, for traveling over the country, there are royal roads and roads for common citizens; but in geometry there is one road for all.Manaechmus

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There is no royal road to geometry.Euclid

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By natural selection, our mind has adapted itself to the conditions of the external world. It has adopted the geometry most advantageous to the species or, in other words, the most convenient.Jules Henri Poincare

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All human knowledge thus begins with intuitions, proceeds thence to concepts, and ends with ideas.Immanuel Kant

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There are no sects in geometry.Volatire

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A line is a dot that went for a walk.Paul Klee

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The Cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. this is the hogtie, and it is what Euclid did to geometry.Eric Temple Bell

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Music is the arithmetic of sounds as optics is the geometry of light.Claude Debussy

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Writing is the geometry of the soul.Plato

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The child beginning geometry is presented with a dot and it is told, first, that that is a pointer, and second, that it is not a point. He cannot advance until he accepts both statements at once.Northrop Frye

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The conception pi does not mean anything except another mathematical formulation of it. In ordinary experience the shortest distance between two points may not be a straight line, as the shortest way to get to the other side of a wall is around by the door, but geometry knows nothing of such existential untidiness.Northrop Frye

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Gravity is a response to geometry.Albert Einstein

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I never could make out what those damned dots meant.Lord Randolph Churchill

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We may in fact regard geometry as the most ancient branch of physics...Without it, I would have been unable to formulate the theory of relativity.Albert Einstein

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Describing the physical laws without reference to geometry is similar to describing our thoughts without words.Albert Einstein

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Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.Stephen Hawking

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Simply to count and then dispose of / In patterns everybody knows, / Simply to follow curve and line / In geometrical design.John Crowe Ransom

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I think the universe is pure geometry - basically, a beautiful shape twisting around and dancing over space-time.Antony Garrett Lisi

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In order to give meaning to the world, one has to feel oneself involved in what he frames. This attitude requires concentration, a discipline of mind, sensitivity, and a sense of geometry.Henri Cartier-Bresson

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The human heart likes a little disorder in its geometry.Loui de Barnieres

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Everything one invents is true, you may be perfectly sure of that. Poetry is as precise as geometry.Gustave Flaubert

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The two elements the traveler first captures in the big city are extra human architecture and furious rhythm. Geometry and anguish.Federico Garcia Lorca

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One of the great challenges of modern cosmology is to discover what the geometry of the universe really is.Margaret Geller

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In reality, the universe has no geometry.Kedar Joshi

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The shortest distance between two points is a straight line. This maxim holds not only in geometry but in business as well.Mike Klepper

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A straight line is said to have been cut in extreme and means ratio when, as the whole line is to the greater segment, so is the greater to the lesser.Euclid

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I guess a sock is also a geometric shape—technically—but I don't know what you'd call it. A socktagon?Stephen King

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Simple shapes are inhuman. They fail to resonate with the way nature organizes itself or with the way human perception sees the world.James Gleick

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Self-similarity is symmetry across scales. It implies recursion, a pattern inside of the pattern.James Gleick

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In geometry, whenever we had to find the area of a circle, pi * radius squared, I would get really hungry for pie. Square pie.Dan Florence

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