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Affine Geometry is the branch of geometry which deals with affine transformations.
In effect, affine geometry is a generalization of Euclidean geometry characterized by slant and scale distortions. Affine geometry can be developed in two ways.
i) In synthetic geometry, an affine space is a set of points to which is associated a set of lines, which satisfy some axioms (such as Playfair's axiom).
ii) In Linear Algebra, an affine space is a set of points equipped with a set of transformations (that is bijective mappings).