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Moving triangles over a sphere

✍ Scribed by Javier Alonso; Pedro Martín

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
86 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

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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