engOller-Marcen, A.M.Further generalizations of the parallelogram lawART-2020-119225In a recent work of Alessandro Fonda, a generalization of the parallelogram law in any dimension N >= 2 was given by considering the ratio of the quadratic mean of the measures of the (N - 1)-dimensional diagonals to the quadratic mean of the measures of the faces of a parallelotope. In this paper, we provide a further generalization considering not only (N - 1)-dimensional diagonals and faces, but the k-dimensional ones for every 1 <= k <= N - 1.2020http://zaguan.unizar.es/record/95623http://zaguan.unizar.es/record/95623oai:zaguan.unizar.es:95623CONTRIBUTIONS TO DISCRETE MATHEMATICS 15, 2 (2020), 153-158byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess