Geometry Quotes - Page 14

• Did you measure to attain your height? Did you use geometry to radiate your limb? Did you lament storm-torn branches? Did you inventory your leaves for the sun? You did none of these things, yet man in his cleverness Cannot match your perfection.

  Ming-Dao Deng

  Men, Perfection, Tree

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• Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate.

  David Mumford

  Math, Lasts, Esoteric

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• Development of Western science is based on two great achievements: the invention of the formal logical system (in Euclidean geometry) by the Greek philosophers, and the discovery of the possibility to find out causal relationships by systematic experiment (during the Renaissance). In my opinion, one has not to be astonished that the Chinese sages have not made these steps. The astonishing thing is that these discoveries were made at all.

  Albert Einstein

  Science, Discovery, Two

  Letter to J.S. Switzer on April 23, 1953. "The Scientific Revolution: A Historiographical Inquiry". Book by H. Floris Cohen, p. 234, 1994.

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• Masonry, according to the general acceptation of the term, is an art founded on the principles of geometry, and devoted to the service and convenience of mankind. But Freemasonry, embracing a wider range and having a nobler object in view, namely, the cultivation and improvement of the human mind, may with more propriety be called a science, inasmuch as, availing itself of the terms of the former, it inculcates the principles of the purest morality, though its lessons are for the most part veiled in allegory and illustrated by symbols.

  William Howard Taft

  Art, Views, Mind

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• I believe that all centers that appear in space - whether they originate in biology, in physical forces, in pure geometry, in color - are alike simply in that they all animate space. It is this animated space that has its functional effect upon the world, that determines the way things work, that governs the presence of harmony and life.

  Christopher Alexander

  Believe, Origin Of Life, Color

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• Greek architecture is the flowering of geometry.

  Ralph Waldo Emerson

  Greek, Architecture, Flowering

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• The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.

  Nicholas Murray Butler

  Philosophy, Tools, Records

  NICHOLAS MURRAY BUTLER (1898). “THE MEANING OF EDUCATION AND OTHERS ESSAYS AND ADDRESSES”

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• [Professor Bragg asserts that] In sodium chloride there appear to be no molecules represented by NaCl. The equality in number of sodium and chlorine atoms is arrived at by a chess-board pattern of these atoms; it is a result of geometry and not of a pairing-off of the atoms.

  Henry Edward Armstrong

  Science, Numbers, Sodium

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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.

  Eve Arnold

  Stars, Two, Long

  Eve Arnold (2002). “Film Journal”, p.8, A&C Black

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• Considerable obstacles generally present themselves to the beginner, in studying the elements of Solid Geometry, from the practice which has hitherto uniformly prevailed in this country, of never submitting to the eye of the student, the figures on whose properties he is reasoning, but of drawing perspective representations of them upon a plane. ...I hope that I shall never be obliged to have recourse to a perspective drawing of any figure whose parts are not in the same plane.

  Augustus De Morgan

  Country, Eye, Science

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• In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.

  Euclid

  Science, Squares, Triangles

  Euclid, Phillips (1826). “Elements of Geometry, Containing the First Six Books of Euclid”, p.41

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• The Hypotenuse has a square on, which is equal Pythagoras instructed, to the sum of the squares on the other two sides If a triangle is cleverly constructed.

  Richard Digance

  Science, Two Sides, Squares

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• She blinded me with science and failed me in geometry.

  Thomas Dolby

  Education, Blinded

  Song: She Blinded Me With Science, Album: The Golden Age of Wireless

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• The new painters do not propose, any more than did their predecessors, to be geometers. But it may be said that geometry is to the plastic arts what grammar is to the art of the writer. Today, scholars no longer limit themselves to the three dimensions of Euclid. The painters have been lead quite naturally, one might say by intuition, to preoccupy themselves with the new possibilities of spatial measurement which, in the language of the modern studios, are designated by the term fourth dimension.

  Guillaume Apollinaire

  Art, Intuition, Today

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• In creating the world, God used arithmetic, geometry, and likewise astronomy.

  Nicholas of Cusa

  Creating, World, Astronomy

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• I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid - a term used in this work to denote all of standard geometry - Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."

  Benoit Mandelbrot

  Science, Challenges, Different

  The American Mathematical Monthly, Vol. 91, No. 9, (p. 594), November 1984.

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• Frost grows on the window glass, forming whorl patterns of lovely translucent geometry. Breathe on the glass, and you give frost more ammunition. Now it can build castles and cities and whole ice continents with your breath’s vapor. In a few blinks you can almost see the winter fairies moving in . . . But first, you hear the crackle of their wings.

  Vera Nazarian

  Moving, Winter, Glasses

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