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Fitzpatrick, R. (2008). Euclid¡¯s elements of geometry. (pp. 195-222).

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Article

Topological Construction of Spherical Analogue of a Given Euclidean Pyramid

1Department of Mathematics and Computer Science, University of Maroua, Maroua, Cameroon


American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 4, 120-130
DOI: 10.12691/ajams-7-4-1
Copyright © 2019 Science and Education Publishing

Cite this paper:
Joseph Dongho, Sim¨¦on Kemmegne Fopossi. Topological Construction of Spherical Analogue of a Given Euclidean Pyramid. American Journal of Applied Mathematics and Statistics. 2019; 7(4):120-130. doi: 10.12691/ajams-7-4-1.

Correspondence to: Joseph  Dongho, Department of Mathematics and Computer Science, University of Maroua, Maroua, Cameroon. Email: josephdongho@yahoo.fr

Abstract

Given a regular Euclidean pyramid with square base, we use basic properties of great circle associated to it sides to prove the existence of its spherical counterpart. We also prove that its homeomorphic to its spherical counterpart.

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