  Non-Euclidean triangle centers can be described using homogeneous coordinates
that are proportional to the generalized sines of the directed distances of a
given center from the edges of the reference triangle. Identical homogeneous
coordinates of a specific triangle center may be used for all spaces of uniform
Gaussian curvature. We also define the median point for a set of points in
non-Euclidean space and a planar center of rotation for a set of points in a
non-Euclidean plane.
