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IEVref:102-03-02ID:
Language:enStatus: Standard
Term: point space
Synonym1: affine space
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Definition: for a given vector space, set of elements called points, for which an element UAB of the vector space is associated to any ordered pair of points A and B with the following properties:

  • for any two points A and B, UBA=UAB,
  • for any three points A, B and C, UAB+UBC=UAC,
  • for a given point O and a given vector r, there is a unique point P such that UOP=r

Note 1 to entry: A point space and the associated vector space have the same dimension. The point space derived from the three-dimensional Euclidean vector space is a model of the usual geometrical three-dimensional space.


Publication date:2008-08
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO
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