- affine geometry
-
the branch of geometry dealing with affine transformations.[1915-20]
* * *
Universalium. 2010.
affine geometry
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Affine geometry — is a form of geometry featuring the unique parallel line property (see the parallel postulate) but where the notion of angle is undefined and lengths cannot be compared in different directions (that is, Euclid s third and fourth postulates are… … Wikipedia
Affine geometry of curves — In the mathematical field of differential geometry, the affine geometry of curves is the study of curves in an affine space, and specifically the properties of such curves which are invariant under the special affine group In the classical… … Wikipedia
affine geometry — noun the geometry of affine transformations • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry * * * the branch of geometry dealing with affine transformations. [1915 20] … Useful english dictionary
affine geometry — noun The branch of geometry dealing with affine transformations. See Also: affine group … Wiktionary
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Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… … Wikipedia
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Affine space — In mathematics, an affine space is an abstract structure that generalises the affine geometric properties of Euclidean space. In an affine space, one can subtract points to get vectors, or add a vector to a point to get another point, but one… … Wikipedia
