The hyperbolic conics in the hyperbolic geometry

Abstract

In this work we have aimed to specify basic properties of hyperbolic conics of upper half plane U and examined each conic at two steps: Firstly we have studied the case where center and focus(es) of the conic are on imaginary axis. Secondly we have transferred our findings to any conic by means of Mob(U). Although there are works on hyperbolic circles in sources such as [2), we also examine hyperbolic circles for readiness. We have also seen that each conic family is invariant under the action of Mob(U].