Katrina wrote:
>
> I need some help on my hyperbolic geometry... see if you guys can
> help me out
>
> 1) In hyperbolic geometry, prove that given a line l and a point P
> not on l, there are infinitely many lines through P parallel to l.
>
> 2) in hyperbolic geometry, prove that 2 lines are hyperparallel if
> and only if they share a common perpendicular.
>
???

Sorry, but AFAIK these are, respectively, the definition of a hyperbolic
geometry and the definition of hyperparallel.

Alberto Monteiro