2006•Mathematische NachrichtenOpen access

Moving triangles over a sphere

Javier Alonso, Pedro Martín

Abstract

Abstract If three points on a circle are rotated around the circle in such a way that the lengths of two sides of the triangle they define do not change, then neither does the length of the third side. If instead of a circle we consider the unit sphere of a norm in a two‐dimensional normed space, then the above property characterizes the ellipses. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Key concepts: Mathematics, Unit circle, Great circle, Ellipse, Unit sphere, Norm (philosophy), Combinatorics, Space (punctuation)