Orthocentric Systems in Minkowski Planes

Abstract

A new way to define the notion of -orthocenter will be displayed by studying some propierties of four points in the plane which allows to extend the notion of Euler's line, the Six Point Circles and the three-circles theorem, for normed planes. In the present paper (which can be regarded as extention of M-WU in Minkowski plane in general) we derive several characterizations of the Euclidianity of the plane.

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