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.
Affine Geometry
See also
Absolute Geometry, Affine Complex Plane, Affine Equation, Affine Group, Affine Hull, Affine Plane, Affine Space, Affine Transformation, Ordered GeometryExplore with Wolfram|Alpha
References
Birkhoff, 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, K. Affine Geometry of Convex Bodies. Heidelberg, Germany: Barth Verlag, 1998.Referenced on Wolfram|Alpha
Affine GeometryCite this as:
Weisstein, Eric W. "Affine Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AffineGeometry.html