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We will define the point belonging to a polylateral , which has the same properties as the symmedian point of a triangle , in a purely geometrical way. We describe successively only the enunciations of the definitions and theorems, necessary to get that point.doi:10.11429/subutsugaiyo1903.3.123 fatcat:2go6rhqcg5bizoo3by4yq7kbu4