
Journal for Geometry and Graphics 16 (2012), No. 1, 001011 Copyright Heldermann Verlag 2012 On Kiepert Conics in the Hyperbolic Plane Sybille Mick Institute of Geometry, University of Technology, Kopernikusgasse 24, 8010 Graz, Austria mick@tugraz.at Johann Lang Institute of Geometry, University of Technology, Kopernikusgasse 24, 8010 Graz, Austria johann.lang@tugraz.at The Kiepert hyperbola and the Kiepert parabola of a triangle in the Euclidean plane are the background of this paper. Its main issue is the question whether a similar phenomenon can be found in the hyperbolic plane. The considerations are set in the disk model of hyperbolic geometry where classical projective reasoning can also be employed. Keywords: Elementary hyperbolic geometry, CayleyKlein geometry, triangle geometry, Kiepert conics, hyperbolic isogonal transformation. MSC: 51M09; 51N15, 51F99 [ Fulltextpdf (982 KB)] for subscribers only. 