Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 147-151 (2008)
Tangent segments in Minkowski planes
Senlin WuFaculty of Mathematics, Chemnitz University of Technology, 09107 Chemnitz, Germany
Abstract: A Minkowski plane is Euclidean iff the two tangent segments from any exterior point to the unit circle have the same length.
Keywords: Birkhoff orthogonality, Busemann angular bisector, Glogovskij angular bisector, James orthogonality, Minkowski plane, normed plane, Radon plane
Classification (MSC2000): 52A10, 46B20, 46C99, 51M04
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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.