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geometry

From Wiktionary, the free dictionary

English

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Etymology

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FromMiddle Englishgemetry,geometrie, fromOld Frenchgeometrie (modernFrenchgéométrie),[1] fromLatingeōmetria, fromAncient Greekγεωμετρία(geōmetría,“geometry, land-survey”), fromγεωμέτρης(geōmétrēs,“geometer, land measurer”), fromγῆ(gê,“earth, land, country”) +-μετρία(-metría,“measurement”), fromμέτρον(métron,“a measure”). Bysurface analysis,geometer +‎-y orgeo- +‎-metry.Doublet ofgematria.

Pronunciation

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Noun

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geometry (countable anduncountable,pluralgeometries)

  1. (mathematics, uncountable) The branch ofmathematics dealing with spatial relationships.
    • 1925,René Descartes, “The Geometry of Rene Descartes”, in David Eugene Smith, Marcia Latham, transl.,[1637, La Géométrie], Cosimo Classics, published2007,page 2:
      ANY problem ingeometry can easily be reduced to such terms that a knowledge of the lengths of certain straight lines is sufficient for its construction.
  2. (mathematics, often qualified in combination, countable) A mathematical system that deals with spatial relationships and that is built on a particular set ofaxioms; asubbranch of geometry which deals with such a system or systems.
    • 1975 [Addison-Wesley], Eugene F. Krause,TaxicabGeometry, 1986, Dover,page 64,
      Entire newgeometries are also suggested by real-world cities.
    • 2004, Judith Cederberg,A Course in ModernGeometries, Springer,page 1:
      Finitegeometries were developed in the late nineteenth century, in part to demonstrate and test the axiomatic properties ofcompleteness,consistency, andindependence.
    • 2006, Mark Wagner,TheGeometries of Visual Space, Lawrence Erlbaum Associates,page ix:
      Previous theorists have often tried to test whether visual space is best described by a small set of traditionalgeometries, such as the Euclideangeometry most of us studied in High School or the hyperbolic and sphericalgeometries introduced by 19th-century mathematicians.
  3. (countable) The observed or specified spatial attributes of an object, etc.
    • 1990, M. E. Cage, D. Y. Yu, G. Marullo Reedtz, “Observation and an Explanation of Breakdown of the Quantum Hall Effect”, inJournal of Research of the National Institute of Standards and Technology, volume95, number 1:
      The inset of figure 1 shows thegeometry of the samples. They are 4.6 mm long and 0.4 mm wide.
    • 2003, Matt Welsh,Running Linux, page74:
      Also, certain SCSI controllers need to be told where to find drivegeometry in order for Linux to recognize the layout of your drive.
    • 2018 March 14,Roger Penrose, “'Mind over matter': Stephen Hawking – obituary”, inThe Guardian:
      He was extremely highly regarded, in view of his many greatly impressive, sometimes revolutionary, contributions to the understanding of the physics and thegeometry of the universe.
  4. (algebraic geometry, countable) A mathematical object comprising representations of a space and of its spatial relationships.

Holonyms

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Derived terms

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Related terms

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Translations

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branch of mathematics
type of geometry
spatial attributes

See also

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References

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  1. ^“ǧēmetrī(e,n.”, inMED Online, Ann Arbor, Mich.:University of Michigan,2007.

Further reading

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