The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry

The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry

In this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.

Bibliographic Details
Main Authors: Gülcan Balakan, Oğuzhan Demirel
Format: Article
Language:Arabic
Published: Al-Mustansiriyah University 2021-02-01
Series:Mustansiriyah Journal of Science
Subjects:
hyperbolic triangle
hyperbolic quadrilateral
hyperbolic bretschneider’s formula
hyperbolic cagnoli’s formula
Online Access:http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/932
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spelling doaj-0d49bcbd3f224e158a7dbc60d2371ace2021-05-20T01:28:49ZaraAl-Mustansiriyah UniversityMustansiriyah Journal of Science1814-635X2521-35202021-02-01321313810.23851/mjs.v32i1.932364The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic GeometryGülcan Balakan0Oğuzhan Demirel1Department of Mathematics, Faculty of Science and Literature, University of Afyon Kocatepe, TURKEYDepartment of Mathematics, Faculty of Science and Literature, University of Afyon Kocatepe, TURKEYIn this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/932hyperbolic trianglehyperbolic quadrilateralhyperbolic bretschneider’s formulahyperbolic cagnoli’s formula
collection DOAJ
language Arabic
format Article
sources DOAJ
author Gülcan Balakan
Oğuzhan Demirel
spellingShingle Gülcan Balakan
Oğuzhan Demirel
The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
Mustansiriyah Journal of Science
hyperbolic triangle
hyperbolic quadrilateral
hyperbolic bretschneider’s formula
hyperbolic cagnoli’s formula
author_facet Gülcan Balakan
Oğuzhan Demirel
author_sort Gülcan Balakan
title The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
title_short The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
title_full The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
title_fullStr The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
title_full_unstemmed The Formulas of Möbius-Bretschneider and Möbius-Cagnoli in the Poincaré Disc Model of Hyperbolic Geometry
title_sort formulas of möbius-bretschneider and möbius-cagnoli in the poincaré disc model of hyperbolic geometry
publisher Al-Mustansiriyah University
series Mustansiriyah Journal of Science
issn 1814-635X
2521-3520
publishDate 2021-02-01
description In this paper, we present two gyroarea formulas (Möbius-Bretschneider’s formula and Möbius-Cagnoli’s formula) for Möbius gyroquadrilaterals in the Poincaré disc model of hyperbolic geometry.
topic hyperbolic triangle
hyperbolic quadrilateral
hyperbolic bretschneider’s formula
hyperbolic cagnoli’s formula
url http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/932
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