Moving triangles over a sphere | Zendy

Alonso Javier | Zendy; Martín Pedro | Zendy

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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)

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