Definition:Affine Geometry
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Definition
Affine geometry is the study of the geometry of affine spaces.
Hence it is the study of properties and types of geometric figures which are invariant under an affine transformation.
It provides a modern axiomatic approach to the study of configurations of lines, planes and hypersurfaces.
In particular an affine space can be thought of as a finite dimensional vector space with no distinguished origin, and its affine transformations are those that preserve collinearity.
Also see
- Results about affine geometry can be found here.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): affine geometry
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): affine geometry
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): affine geometry
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): affine geometry