Orthocentric Systems in Minkowski Planes
Metric Geometry
2014-02-18 v1
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 \cite{M-WU} in Minkowski plane in general) we derive several characterizations of the Euclidianity of the plane.
Keywords
Cite
@article{arxiv.1402.3753,
title = {Orthocentric Systems in Minkowski Planes},
author = {Wilson Pacheco Redondo and Tobías Rosas Soto},
journal= {arXiv preprint arXiv:1402.3753},
year = {2014}
}
Comments
14 pages, 7 figures