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Concept information

geometry > analytic geometry > coordinate system > curvilinear coordinates

Preferred term

curvilinear coordinates  

Definition

  • In geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. This means that one can convert a point given in a Cartesian coordinate system to its curvilinear coordinates and back. The name curvilinear coordinates, coined by the French mathematician Lamé, derives from the fact that the coordinate surfaces of the curvilinear systems are curved.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Curvilinear_coordinates)

Broader concept

Entry terms

  • curvilinear coordinate system

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URI

http://data.loterre.fr/ark:/67375/PSR-J9LMBR8B-8

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