Hyperbolic Cosines and Sines Theorems for the Triangle Formed by Arcs of Intersecting Semicircles on Euclidean Plane

Author

Yamaleev, Robert M.

Source

Journal of Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-18

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Yamaleev, Robert M.. 2013. Hyperbolic Cosines and Sines Theorems for the Triangle Formed by Arcs of Intersecting Semicircles on Euclidean Plane. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-508224

Modern Language Association (MLA)

Yamaleev, Robert M.. Hyperbolic Cosines and Sines Theorems for the Triangle Formed by Arcs of Intersecting Semicircles on Euclidean Plane. Journal of Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-508224

American Medical Association (AMA)

Yamaleev, Robert M.. Hyperbolic Cosines and Sines Theorems for the Triangle Formed by Arcs of Intersecting Semicircles on Euclidean Plane. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-508224

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-508224