Kinematik in der Laguerre-Ebene I

The geometry of the real Laguerre-plane is defined as the Cayley-Klein-geometry of a 3-dimensional affine space with a non-degenerate absolute conic in the ideal plane. A one-parametric family of transformations of the Laguerre-plane is called a . In this paper the kinematical foundations of the -motions are developed. Furthermore there is given a linear construction of the tangents of the curves generated under a -motion. At the end the dual and the inverse -motions are considered.