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.

Maltitudes, anticenters and altitudes of cyclic polygons and polyhedra

Mammana, Maria Flavia;Micale, Biagio
2019-01-01

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.
2019
polygons; polyhedra; maltitudes; anticenters; homotheties
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/381461
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