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geometry Definition

ge·om·etry (jē äm′ə trē)

noun pl. -·tries

  1. the branch of mathematics that deals with points, lines, planes, and figures, and examines their properties, measurement, and mutual relations in space
  2. a book about geometry
  3. a specific system of geometry

Etymology: ME geometrie < OFr < L geometria < Gr geōmetria < geōmetrein, to measure the earth < gē, earth + metria, measurement < metrein, to measure: for IE base, see meter

geometry Usage Examples

Preposition: of

  • spacetime: As the geometry of spacetime principally resides on the left-hand side, this situation seems unsatisfactory.

Converse of object

  • optimize: Main arguments: current geometry, search direction, step, current gradient norm; on exit: optimized geometry, gradient norm.
  • optimize: Compressor blade design: the optimization search pattern, the Pareto front ( black points ) found and the optimized geometries.
  • confine: Experiments in magnetic fields up to 60 Tesla are used to study novel electronic states in confined geometries.

Adjective modifier

  • Euclidean: What about physical space - is Euclidean geometry really true for all space?
  • non-euclidean: From the early 1800s Gauss had an interest in the question of the possible existence of a non-Euclidean geometry.
  • fractal: Using the techniques of fractal geometry, which he himself invented, Mandelbrot believes he has finally realized his ambition.
  • algebraic: Professor Griffiths is well known for his work in algebraic geometry.
  • projective: Even limited space in which we move they might not be true - projective geometry.
  • Riemannian: To understand the course the student should know the basic ideas of Riemannian geometry.

Modifies a noun

  • optimization: Intended primarily for transition state usage, it may also be employed in geometry optimization.
  • optimization: A technique called geometry optimization was used to find a low energy ( stable ) shape.
  • mismatch: This is typically caused by a media failure or by a geometry mismatch.
  • theorem: Of course today we particularly remember Pythagoras for his famous geometry theorem.

Noun used with modifier

  • spacetime: Hence, everything in the physical world was a manifestation of spacetime geometry.
  • planform: For wings with full-span leading-edge devices a factor, dependent on planform geometry, is applied to allow for three-dimensional effects.
  • steering: Please see the new steering geometry page for an explanation of why we have done this.
  • suspension: In a four-wheeled car rear suspension geometry can be designed to help point a car into a corner.
  • chassis: Apart from engine set-up, Hofmann also tested a revised rear swinging arm and chassis geometry.
  • electrode: The thermal and electrical field distribution in the waveguide of any electrode geometry can be determined.
Geometry Quotes

Geometry is that part of universal mechanics which accurately proposes and demonstrates the art of measuring.

—Newton, Sir Isaac

geometry Quotes

Let no-one enter who does not know his geometry.

—Anonymous

There isgeometry inthehumming of thestrings.There is music in the spacings of the spheres.

—Pythagoras   6c

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

—Pirsig, Robert M(aynard)

La ge¤  ome¤  trie est aux arts plastiques ce que la grammaire est a'   l'art de l'e¤  crivain. Geometry is to sculpture what grammar is to the art of the writer.

—Kostrowitzki

In Geometry (which is the only science that it hath pleased God hithertotobestowonmankind) men begin at settling the significations of their words; which†they call Definitions.

—Hobbes,Thomas

But even Archimedes was not free from the prevailing notion that geometry was degraded by being employed to produce anything useful. It was with difficulty that he was induced to stoop from speculation to practice. He was half ashamed of those inventions which were the wonder of hostile nations, and always spoke of them slightingly as mere amusements, as trifles in which a mathematician might be suffered to relax his mind after intense application to the higher parts of his science.

—1st Baron

Night Geometryand the GarscaddenTrains.

—Kennedy, A(lison) L(ouise)

   There is no'royal road'to geometry.

—Euclid   4c