2007 | OriginalPaper | Buchkapitel
Affine geometry
Erschienen in: Introduction to Classical Geometries
Verlag: Birkhäuser Basel
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This exposition of affine geometry is somehow different from those usually found in the literature. We have chosen a way of presenting affine geometry that constitutes a natural bridge between Euclidean geometry and projective geometry, both from the historic and the formal viewpoints. The reason this is possible is that the group of affine transformations is larger than the Euclidean group and is contained in the group of projective transformations.