"Because there is no precise hyperbolic analogue to Euclidean parallel lines, the hyperbolic use of parallel and related terms varies among writers."
But there's definitely info out there. Sorry I can't help more!
1) Explain what is meant by a hyperbolic line
2) Explain what it means for two hyperbolic lines to be parallel
3) Let R donate a mapping of the upper half plane onto itself, RoR = id. State three additional properties which R possesses if it is a hyperbolic reflection. If R(z) = 3zbar-5/zbar-3, show that RoR = id and give a precise geometric description of this.
Ok for 1), I don't know the definition and google gives me nothing. Something to do with being a line in the hyperbolic plane which is a sphere? But how to put it formally?
2) Parallel lines doesn't meet, but how to explain that in a hyperbolic sense? 3) I tried multiplying but I got no where? I don't think I understand this question too well. Unfortunately I don't know where to go to look as I don't have any book with this in. Please help professors.