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Moving triangles over a sphere
Author(s) -
Alonso Javier,
Martín Pedro
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510450
Subject(s) - mathematics , unit circle , great circle , ellipse , unit sphere , norm (philosophy) , combinatorics , space (punctuation) , circle packing , geometry , property (philosophy) , unit (ring theory) , computer science , law , mathematics education , epistemology , political science , operating system , philosophy
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)