Introduction to the Planimetry of the Quasi- Hyperbolic Plane

The quasi-hyperbolic plane is one of nine projective-metric planes where the absolute figure is the ordered triple {; ; j1, j2, F}; ; consisting of a pair of real lines j1 and j2 through the real point F. In this paper some basic geometric notions of the quasi-hyperbolic plane are introduced. Also the classification of qh- conics in the quasi-hyperbolic plane with respect to their position to the absolute figure is given. The notions concerning the qh-conic are introduced and some selected constructions for qh-conics are presented.