affine geometry

noun the geometry of affine transformations
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affine geometry

The study of properties of geometric objects that remain unchanged after parallel projection from one plane to another. During such a projection, first studied by Leonhard Euler, each point (x, y) is mapped to a new point (ax + cy + e, bx + dy + f). Circles, angles, and distances are altered by affi...
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affine geometry

affine geometry: see geometry.
Found on http://www.infoplease.com/ce6/sci/A0909985.html

Affine geometry

In mathematics, affine geometry is the study of parallel lines. Its use of Playfair`s axiom is fundamental since comparative measures of angle size are foreign to affine geometry so that Euclid`s parallel postulate is beyond the scope of pure affine geometry. In affine geometry, the relation of parallelism may be adapted so as to be an equivalen.....
Found on http://en.wikipedia.org/wiki/Affine_geometry
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