The Klein View of Geometry

After euclidean and similarity geometry, perhaps the most natural topic is affine geometry. Although we motivate this in terms of shadows, we shall use the klein approach, and define the geometry as that given by a certain group of transformations of a plane. the geometry of shadows the affine group parallel projections affine properties affine congruence some fixed point theorems affine conics main affine conics page half-turns and central conics classification of affine conics symmetry groups of affine conics tangents and affine conics Theorems of Ceva and von Obel

related links the affine and projective groups

main geometry page