Post Number: 45
Posted on Friday, 22 March, 2013 - 04:48 pm:
I was asked the following question and i do not have any clue on these. Could anyone help me in the beginning of this?
Show that there exists a tangent hyperbolic straight line at every point on a hyperbolic circle, horocycle, or hypercycle. Show that this tangent is perpendicular to the diameter at the point.
Prove that a hyperbolic circle is the locus of points that are a fixed distance from its center.
Let C be a hypercycle, and let L be the hyperbolic straight line that shares the same ideal points as C. Prove that the perpendicular distance from C to L is the same at every point of C.
Thanks in advance