Yıl: 2020 Cilt: 41 Sayı: 3 Sayfa Aralığı: 642 - 650 Metin Dili: İngilizce DOI: 10.17776/csj.719117 İndeks Tarihi: 01-11-2021

Equality of internal angles and vertex points in conformal hyperbolic triangles

Öz:
In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these special conformal triangles, the conformal hyperbolic equilateral triangle and the conformal hyperbolic isosceles triangle, the internal angles and vertices are shown.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Asmus, I., Duality Between Hyperbolic and de-Sitter Geometry, New York: Cornell University, 2008; pp 1- 32.
  • [2] O’neil, B., Semi-Riemannian Geometry, London: Academic Press, 1983; pp 46-49, 54-57, 108-114, 143-144.
  • [3] Suarez-Peiro, E., A Schlafli Differential Formula for Implices in Semi-Riemannian Hyperquadrics, Gauss- Bonnet Formulas for Simplices in the de Sitter Sphere and the Dual Volume of a Hyperbolic Simplex, Pasicif Journal of Mathematics, 194(1) (2000) 229.
  • [4] Karlığa, B., Edge matrix of hyperbolic simplices, Geom. Dedicata, 109 (2004) 1–6.
  • [5] Karlığa, B., Yakut, A.T., Vertex angles of a simplex in hyperbolic space n H , Geom. Dedicata, 120 (2006) 49-58.
  • [6] Alsan, Ö., Conformal Triangles, M.Sc. Thesis, Kastamonu University Institute of Science and Technology, Kastamonu, 2015.
  • [7] Karlığa, B., Savaş, M., “Field Formulas Based on Edge Lengths of Hyperbolic and Spherical Triangles”, Seminar of Mathematics Deparment, Gazi University, Ankara, (2006) 1-6.
  • [8] Ratcliffe, J.G., “Foundations of Hyperbolic Manifolds”, , Berlin: Springer-Verlag, 1994.
  • [9] Tokeşer, Ü., “Triangles in Spherical Hyperbolic and de-Sitter Planes”, Ph.D. Thesis, Gazi University Institute of Science and Technology, Ankara 2013.
APA Tokeşer Ü, ALSAN Ö (2020). Equality of internal angles and vertex points in conformal hyperbolic triangles. , 642 - 650. 10.17776/csj.719117
Chicago Tokeşer Ümit,ALSAN ÖMER Equality of internal angles and vertex points in conformal hyperbolic triangles. (2020): 642 - 650. 10.17776/csj.719117
MLA Tokeşer Ümit,ALSAN ÖMER Equality of internal angles and vertex points in conformal hyperbolic triangles. , 2020, ss.642 - 650. 10.17776/csj.719117
AMA Tokeşer Ü,ALSAN Ö Equality of internal angles and vertex points in conformal hyperbolic triangles. . 2020; 642 - 650. 10.17776/csj.719117
Vancouver Tokeşer Ü,ALSAN Ö Equality of internal angles and vertex points in conformal hyperbolic triangles. . 2020; 642 - 650. 10.17776/csj.719117
IEEE Tokeşer Ü,ALSAN Ö "Equality of internal angles and vertex points in conformal hyperbolic triangles." , ss.642 - 650, 2020. 10.17776/csj.719117
ISNAD Tokeşer, Ümit - ALSAN, ÖMER. "Equality of internal angles and vertex points in conformal hyperbolic triangles". (2020), 642-650. https://doi.org/10.17776/csj.719117
APA Tokeşer Ü, ALSAN Ö (2020). Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal, 41(3), 642 - 650. 10.17776/csj.719117
Chicago Tokeşer Ümit,ALSAN ÖMER Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal 41, no.3 (2020): 642 - 650. 10.17776/csj.719117
MLA Tokeşer Ümit,ALSAN ÖMER Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal, vol.41, no.3, 2020, ss.642 - 650. 10.17776/csj.719117
AMA Tokeşer Ü,ALSAN Ö Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal. 2020; 41(3): 642 - 650. 10.17776/csj.719117
Vancouver Tokeşer Ü,ALSAN Ö Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal. 2020; 41(3): 642 - 650. 10.17776/csj.719117
IEEE Tokeşer Ü,ALSAN Ö "Equality of internal angles and vertex points in conformal hyperbolic triangles." Cumhuriyet Science Journal, 41, ss.642 - 650, 2020. 10.17776/csj.719117
ISNAD Tokeşer, Ümit - ALSAN, ÖMER. "Equality of internal angles and vertex points in conformal hyperbolic triangles". Cumhuriyet Science Journal 41/3 (2020), 642-650. https://doi.org/10.17776/csj.719117