2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215330In this paper we characterize hyperbolic geometry among Hilbert geometry by the property that three medians of any hyperbolic triangle all pass through one point.5 pages, 4 figuresMetric GeometryPrimary 53A35; Secondary 51M09, 52A20A characterization of hyperbolic geometry among Hilbert geometrytext