Generalizations of Casey’s Theorem for Higher Dimensions

Author:

Abrosimov N. V.,Aseev V. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference10 articles.

1. Ya. P. Ponarin, Elementary Geometry, Vol. 1: Planimetry (MCCME, Moscow, 2004) [in Russian].

2. J. Casey, A Sequel to the First Six Books of the Elements of Euclid, Containing an Easy Introduction to Modern Geometry, with Numerous Examples, 5th ed. (Hodges, Figgis, Dublin, 1888).

3. R. A. Johnson, Advanced Euclidean Geometry. An Elementary Treatise on the Geometry of the Triangle and the Circle (Dover, New York, 1960).

4. W. J. McClelland and T. Preston, A Treatise on Spherical Trigonometry with Application to Spherical Geometry and Numerous Examples. Part II (Macmillian, London, 1886).

5. T. Kubota, “On the extended Ptolemy’s theorem in hyperbolic geometry,” Sci. Rep. Tohoku Univ., Ser. 1: Phys., Chem., Astron. 2, 131–156 (1912).

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