The Cosine Hyperbolic and Sine Hyperbolic Rules for Dual Hyperbolic Spherical Trigonometry

H. H. UĞURLU; H. GÜNDOĞAN

doi:10.3390/mca5020185

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1 December 2000

The Cosine Hyperbolic and Sine Hyperbolic Rules for Dual Hyperbolic Spherical Trigonometry

and

Celal Bayar Uni., Faculty of Science and Arts., Dept. of Math., Manisa, Turkey

Knnkkale Uni., Faculty of Science and Arts., Dept. of Math., Klrlkkale, Turkey

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Math. Comput. Appl.2000, 5(3), 185-190;https://doi.org/10.3390/mca5020185

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Abstract

The dual hyperbolic unit sphere \(H_{0}^{2}\) is the set of all dual time-like units vectors in the dual Lorentzian space \(D_{1}^{3}\) with signature (+,+,-). In this paper, we give the cosine hyperbolic and sine hyperbolic-rules for a dual dual hyperbolic spherical triangle \(\tilde{A}\tilde{B}\tilde{C}\) which its sides are great-circle-arcs.

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