Maybe I'm just brain dead because I didn't eat dinner before attempting my homework, but I'm really struggling with these hyperbolic trig identities, which I expected to be a piece of cake. My attempts are behind the LJ-cuts. I would greatly appreciate it if someone would walk me through these, or even give me some pointers for solving these ( Read more... )

Is it true that when you have 2 parallel lines with a common perpendicular, if their corresponding angles are congruent, then they are parallel? Well, actually, that's a rhetorical question - I know it is true. I just do not know how to prove it ( Read more... )

 1. Given g1 and g2 distinct geodesics in the upper-half plane. Prove that there is a geodesic parallel to both. Or, prove there are infinitely many geodesics. 
I understand why it is true. Given a geodesic g and a point P not on g, I can construct at least 2 geodesics through P that do not intersect g. Therefore, there are infinitely many parallel ( Read more... )