Maltitudes, anticenters and altitudes of cyclic polygons and polyhedra
Abstract
In this paper we extend to cyclical polygons the concepts of maltitude and anti-center of a cyclic quadrilateral and to cyclical polyhedra the concepts of Monge plane and Monge point of a tetrahedron. In addition, we find several properties of these new concepts. The research is conducted through the study of m-point systems, starting from the results on the centroids and the medians of these systems.
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