2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155383We introduce a new method to establish McShane's Identity, based upon the fact that elliptic elements of order two in the Fuchsian group uniformizing the quotient of a fixed once-punctured hyperbolic torus act so as to exclude points as being highest points of geodesics.15 pages, 6 figuresMetric Geometry57M50, 20H10McShane's identity, using elliptic elementstext