From the geometry of quasi-hyperbolic plane

In this presentation the Euclidean model of the extended projective quasi-hyperbolic plane will be presented. This plane is dual to the pseudo-Euclidean plane. The absolute figure of the quasi-hyperbolic plane is a triple (j_1, j_2, F) where F is a real point and j_1, j_2 are pair of real lines through F. Basic elements and constructions will be shown, as well as duals of some well known theorems from triangle geometry and theory of conics.