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arXiv 1402.3753math.MG
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Minkowski平面上的直角坐标系

Orthocentric Systems in Minkowski Planes

Wilson Pacheco Redondo, Tobías Rosas Soto

摘要:

通过研究平面上四点的性质,给出了定义$\C$ -正交中心的一种新方法,从而将欧拉线、六点圆和三圆定理推广到赋范平面上.本文(一般可看作是\cite{M-WU}在Minkowski平面上的推广)给出了Minkowski平面欧氏性的几个刻划。

英文摘要:

A new way to define the notion of $\C$-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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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