Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane
type: Item
instance of: scholarly article
title: Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane
zbMATH Open document ID: 1272.51011
DOI: 10.1155/2013/920528
author: R. M. Yamaleev
published in: Journal of Mathematics
publication date: 2013-07-25T00:00:00Z
review text: Summary: The hyperbolic cosines and sines theorems for the curvilinear triangle bounded by circular arcs of three intersecting circles are formulated and proved by using the general complex calculus. The method is based on a key formula establishing a relationship between exponential function and the cross-ratio. The proofs are carried out on Euclidean plane.
Mathematics Subject Classification ID: 51N20
zbMATH DE Number: 6191214
zbMATH Keywords: hyperbolic cosines
zbMATH Keywords: hyperbolic sines
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/920528
OpenAlex ID: W2093179640
Wikidata QID: Q59015824
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description: scientific article; zbMATH DE number 6191214