The Fundamental Theorem of Spherical Geometry—with a Discussion of the Fundamental Theorem of Special Relativity

Loo-keng Hua
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Loo-keng Hua: Academia Sinica, Institute of Applied Mathematics

Chapter Chapter 5 in Starting with the Unit Circle, 1981, pp 91-114 from Springer

Abstract: Abstract In 1946, when the author was studying the geometry of matrices, he used a method which can be used to deal with the fundamental theorem of n-dimensional spherical space; that is to say, from the property of the tangency of spheres one can derive the fundamental theorem of spherical geometry, so that neither the analycity nor even the continuity of certain transformations need ever be considered.

Keywords: Canonical Form; Phase Plane; Fundamental Theorem; Affine Transformation; Lorentz Group (search for similar items in EconPapers)
Date: 1981
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DOI: 10.1007/978-1-4613-8136-5_5

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