Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula

<p>We propose a new approach to the problem of calculations of volumes in the Lobachevsky space, and we apply this method to tetrahedra. Using some integral formulas, we present an explicit formula for the volume of a tetrahedron in the function of the coordinates of its vertices as well as in...

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Bibliographic Details
Main Author: I. Kh. Sabitov
Format: Article
Language:English
Published: Yaroslavl State University 2013-01-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:http://mais-journal.ru/jour/article/view/167