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On The Pseudo-Euclidean Geometry Due to G. Hessenberg

Published online by Cambridge University Press:  20 November 2018

Paul Szász
Paul Szász*
Affiliation:
Loránd Eötvös University, Budapest, Hungary
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G. Hessenberg (2) showed that euclidean plane geometry can be realized on the surface of the sphere without assuming the parallel axiom. This geometry will be called the pseudo-euclidean geometry due to G. Hessenberg. In the present paper we give a slightly different treatment, which is perhaps simpler than that of Hessenberg and which has a greater transparency.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 1218 - 1232
Copyright
Copyright © Canadian Mathematical Society 1967

References

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