Uniqueness of non-Euclidean Mass Center System and Generalized Pappus'
Centroid Theorems in Three Geometries
Uniqueness of non-Euclidean Mass Center System and Generalized Pappus'
Centroid Theorems in Three Geometries
G.A. Galperin introduced the axiomatic mass center system for finite point sets in spherical and hyperbolic spaces, proving the uniqueness of the mass center system. In this paper, we revisit this system and provide a significantly simpler proof of its uniqueness. Furthermore, we extend the axiomatic mass center system to …