Concept information
Preferred term
affine geometry
Definition(s)
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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)
Broader concept(s)
Narrower concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-XWZ8DNFJ-0
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