In this paper, we consider and calculate explicitly Fermat-Torricelli points of a spherical or hyperbolic triangle. Fermat-Torricelli point is the point s.t. all angles between two of three extended geodesics passing through the point and vertices are equal to π 3 . A planar triangle has at most 2 Fermat-Torricelli points, however, a spherical (resp. hyperbolic) triangle can have 8 (resp. 4) Fermat-Torricelli points. We also consider another kind of ermat-Torricelli points of a spherical or hyperbolic triangle.
Kenzi Satô (Wed,) studied this question.