An affine geometry is a geometry in which properties are preserved by parallel projection
from one plane to another. In an affine geometry, the third
and fourth of Euclid's postulates become meaningless.
This type of geometry was first studied by Euler.
See alsoAbsolute Geometry
, Affine Complex Plane
, Affine Equation
, Affine Hull
, Affine Space
, Ordered Geometry
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ReferencesBirkhoff, G. and Mac Lane, S. "Affine Geometry." §9.13 in A
Survey of Modern Algebra, 5th ed. New York: Macmillan, pp. 268-275,
1996.Graustein, W. C. Introduction
to Higher Geometry. New York: Macmillan, pp. 179-182, 1930.Leichtweiß,
Geometry of Convex Bodies. Heidelberg, Germany: Barth Verlag, 1998.
on Wolfram|AlphaAffine Geometry
Cite this as:
Weisstein, Eric W. "Affine Geometry."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AffineGeometry.html