affine geometry - Hutchinson encyclopedia article about affine geometry Printer Friendly
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affine geometry

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affine geometry

Geometry that preserves parallelism and the ratios between intervals on any line segment.



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Ordinary Euclidean geometry is an example of an infinite Affine geometry since the two axioms are valid in the plane.
So Euclidian geometry leads to projective and affine geometry, illuminated by Felix Klein's concept of the role of symmetry in geometry; and Cartesian coordinates leads to algebraic varieties.
 
 
 
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