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affine geometry

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ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.affine geometry - the geometry of affine transformationsaffine geometry - the geometry of affine transformations
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces


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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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