Hi all, I hope someone can help with these problems all from hyperbolic geometry. I am also working on the solutions I'll post if I get anything.

Let C be a hypercycle, and let λ be the hyperbolic straight line that shares the same ideal points as C. Prove that the perpendicular distance from C to λ is the same at every point of C. This explains the term equidistant curve used for hypercycles.

Any hint, solution is welcome. thank you.