Definition An h-median of a hyperbolic triangle is an h-segment joining a vertex to the h-midpoint of the opposite side.
The Medians Theorem for Hyperbolic Triangles
|
|
Proof Let ABC be an h-triangle, and let the h-medians be AQ, BR and CP.
Since P is the h-midpoint of BC,
The h-medians all lie within the h-triangle, so any two must meet.
|
|