Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane (Q355824)
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scientific article; zbMATH DE number 6191214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane |
scientific article; zbMATH DE number 6191214 |
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Hyperbolic cosines and sines theorems for the triangle formed by arcs of intersecting semicircles on Euclidean plane (English)
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25 July 2013
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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.
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hyperbolic cosines
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hyperbolic sines
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