Geometry Quotes - Page 7

• In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.

  Hermann Weyl

  Order, Physics, Symmetry

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• Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.

  Plato

  Plato, Ignorance, Science

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• Tengo una capacidad infame para visualizar relaciones, lo que me imposibilitó el estudio de la geometría y todas las materias derivadas de ella.

  Sigmund Freud

  Teacher, Impossible, Study

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• ¡Cuántos teoremas geométricos que al principio parecían impracticables se han resuelto con éxito!

  Arquímedes

  Firsts, Theorems

  Archimedes (2007). “The Works of Archimedes”, p.151, Cosimo, Inc.

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• Emotions are far harder things to understand than algebra and geometry, yet we spend hours in elucidating mathematics and expect such a problem as that of human relationships to solve itself.

  Frances G. Wickes

  Feelings, Emotion, Problem

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• La aplicación del álgebra a la geometría... ha inmortalizado el nombre de Descartes y constituye el mayor paso que se ha dado en el progreso de las ciencias exactas.

  John Stuart Mill

  Science, Names, Progress

  John Stuart Mill (1865). “An Examination of Sir William Hamilton's Philosophy and of the Principal Philosophical Questions Discussed in His Writings”, p.531

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• To me, however, the question of the times resolved itself into a practical question of the conduct of life. How shall I live? We are incompetent to solve the times. Our geometry cannot span the huge orbits of the prevailing ideas, behold their return, and reconcile their opposition. We can only obey our own polarity.

  Ralph Waldo Emerson

  Life, Ideas, Orbit

  Ralph Waldo Emerson (1860). “The Conduct of Life”, p.1

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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.

  Blaise Pascal

  Real, Communication, Science

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• Una ciencia de todos estos tipos posibles de espacio [los de dimensiones superiores] sería sin duda la empresa más elevada que un entendimiento finito podría emprender en el campo de la geometría... Si es posible que existan regiones con otras dimensiones, es muy probable que Dios las haya hecho nacer en alguna parte.

  Immanuel Kant

  Space, Understanding, Fields

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• eternity is a depth which no geometry can measure, no arithmetic calculate, no imagination conceive, no rhetoric describe.

  Hannah Más

  Imagination, Depth, Eternity

  Hannah More (1840). “Miscellaneous Works: Tragedies. Miscellaneous poems. Hymns and ballads. Sacred Dramas. Coelebs. Practical piety. Moriana”, p.593

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• Euler calculated the force of the wheels necessary to raise the water in a reservoir ... My mill was carried out geometrically and could not raise a drop of water fifty yards from the reservoir. Vanity of vanities! Vanity of geometry!

  Federico el Grande

  Vanity, Water, Yards

  Letters of Voltaire and Frederick the Great. Letter 221, 1927.

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• Cuando enseñamos a un niño a cantar o a tocar la flauta, le enseñamos a escuchar. Cuando le enseñamos a dibujar, le enseñamos a ver. Cuando enseñamos a un niño a bailar, le enseñamos sobre su cuerpo y sobre el espacio, y cuando actúa en un escenario, aprende sobre el carácter y la motivación. Cuando enseñamos a un niño a diseñar, le revelamos la geometría del mundo. Cuando enseñamos a los niños las artes populares y tradicionales y las grandes obras maestras del mundo, les enseñamos a celebrar sus raíces y a encontrar su propio lugar en la historia.

  Jane Alexander

  Art, Motivation, Children

  Jane Alexander (2007). “Command Performance: An Actress in the Theater of Politics”, p.322, Da Capo Press

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• Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.

  Arthur Cayley

  Ciencia

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• The only royal road to elementary geometry is ingenuity.

  Eric Temple Bell

  Science, Royal, Ingenuity

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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

  Special, Shapes, Lines

  Fuente: bigthink.com

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• In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.

  Jean-Victor Poncelet

  Success, Teaching, Science

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• I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.

  Benoit Mandelbrot

  Latin, Order, Names

  "Encyclopedia of World Biography" edited by Thomson Gale, 1997.

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• Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.

  Benoit Mandelbrot

  Circles, Shapes, Lines

  Fuente: bigthink.com

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• Me aficioné a los animales dibujando folículos pilosos. Me gustaba dibujar pelo, y de ahí pasé a plumas y pelaje, y luego a imágenes de animales. El patrón es el mismo, pero las proporciones del cuerpo cambian de un animal a otro. Gran parte es geometría y conciencia.

  Kiki Smith

  Animal, Hair, Drawing

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• Architects should be educated, skillful with the pencil, instructed in geometry, know much history, have followed the philosophers with attention, understand music, have some knowledge of medicine, know the opinions of the jurists, and be acquainted with astronomy and the theory of the heavens

  Marco Vitruvio Polio

  Medicine, Heaven, Attention

  "De architectura". Book by Vitruvius. Book I, Chapter I, Section 3,

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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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• 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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• Poetry is a subject as precise as geometry.

  Gustave Flaubert

  Poetry Is, Subjects, Precise

  Letter to Louise Colet, 14 August 1853

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• La Filosofía del Té no es mero esteticismo... porque expresa conjuntamente con la ética y la religión todo nuestro punto de vista sobre el hombre y la naturaleza. Es higiene, porque refuerza la limpieza; es economía, porque muestra la comodidad en la simplicidad más que en lo complejo y costoso; es geometría moral, en la medida en que define nuestro sentido de la proporción con el universo.

  Okakura Kakuzo

  Filosofía, Hombres, Puntos de vista

  Andrew Forbes, David Henley, Okakura Kakuzo "El libro ilustrado del té"

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• La geometría es de gran ayuda en la arquitectura y, en particular, nos enseña el uso de la regla y los compases, con los que adquirimos especial destreza para hacer planos de edificios en sus terrenos y aplicar correctamente la escuadra, el nivel y la plomada. Por medio de la óptica, la luz de los edificios puede extraerse de puntos fijos del cielo. Las cuestiones difíciles relacionadas con la simetría se resuelven mediante teorías y métodos geométricos.

  Marco Vitruvio Polio

  Media, Cuadrados, Luz

  "De architectura". Libro de Vitruvio. Libro I, capítulo I, sección 4,

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