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Concept information

geometry > affine geometry

Terme préférentiel

affine geometry  

Définition

  • In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle. As the notion of parallel lines is one of the main properties that is independent of any metric, affine geometry is often considered as the study of parallel lines. Therefore, Playfair's axiom (Given a line L and a point P not on L, there is exactly one line parallel to L that passes through P.) is fundamental in affine geometry. Comparisons of figures in affine geometry are made with affine transformations, which are mappings that preserve alignment of points and parallelism of lines.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Affine_geometry)

Concept générique

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URI

http://data.loterre.fr/ark:/67375/PSR-XWZ8DNFJ-0

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Equivalence exacte

https://en.wikipedia.org/wiki/Affine_geometry
en.wikipedia.org
https://fr.wikipedia.org/wiki/G%C3%A9om%C3%A9trie_affine
fr.wikipedia.org