A. D. Mednykh, M. G. Pashkevich, “Elementary formulas for a hyperbolic tetrahedron”, Sibirsk. Mat. Zh., 2006, Volume 47, Number 4,Pages <nobr>831

This article is cited in 14 papers

Elementary formulas for a hyperbolic tetrahedron

A. D. Mednykh^a, M. G. Pashkevich^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Siberian Transport University

Abstract: We derive some elementary formulas expressing the relation between the dihedral angles and edge lengths of a tetrahedron in hyperbolic space.

Keywords: hyperbolic tetrahedron, $n$-dimensional hyperbolic simplex, law of sines, law of cosines.

UDC: 514.113.4, 514.114, 514.132

Received: 30.05.2005