2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74510We give in this note a weighted version of Brianchon-Gram's decomposition for a simple polytope. This weighted version is a direct consequence of the ordinary Brianchon-Gram formula.9 pages, 7 figures, to appear in the Canadian Mathematical BulletinCombinatorics52Btext