skip to main content
LOTERRE

LOTERRE

Astronomy (thesaurus)

Choisissez le vocabulaire dans lequel chercher

Langue des données

| español English
Aide à la recherche

Concept information

mathematical technique > frame of reference > coordinate system > curvilinear coordinate
astronomical technique > astrometry > coordinate system > curvilinear coordinate

Terme préférentiel

curvilinear coordinate  

Définition(s)

  • 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. Well-known examples of curvilinear coordinate systems in three-dimensional Euclidean space (R³ are cylindrical and spherical coordinates. A Cartesian coordinate surface in this space is a coordinate plane; for example z = 0 defines the x-y plane. In the same space, the coordinate surface r = 1 in spherical coordinates is the surface of a unit sphere, which is curved. The formalism of curvilinear coordinates provides a unified and general description of the standard coordinate systems. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Curvilinear_coordinates)

Concept(s) générique(s)

Traductions

URI

http://data.loterre.fr/ark:/67375/MDL-V3PHD9P9-8

Télécharger ce concept:

RDF/XML TURTLE JSON-LD Dernière modif. 24/04/2023