creative_2006_15_053_058_001

Extensions of some Ceva type theorems in polygons


Vasile Pop


Abstract

creative_2006_15_053_058_abstract

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creative_2006_15_053_058

A complete characterization of the concurrence conditions of some straight lines that pass through the vertices of a triangle is given by Ceva Theorem. The problems connected with the concurrence of some lines in polygons, polyhedrons or simplexes lead to the idea of the extension of this result in other concurrence theorems.

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Pop, Vasile