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Journals / Cumhuriyet Science Journal / 2020 / Cilt: 41 - Sayı: 3

Equality of internal angles and vertex points in conformal hyperbolic triangles

Ömer ALSAN
Ümit TOKEŞER
Pages
642–650
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Especially in these special conformal triangles, the conformal hyperbolic equilateral triangle and the conformal hyperbolic isosceles triangle, the internal angles and vertices are shown.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Especially in these special conformal triangles, the conformal hyperbolic equilateral triangle and the conformal hyperbolic isosceles triangle, the internal angles and vertices are shown.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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.

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Cite This Article

ALSAN, Ö., TOKEŞER, Ü. (2022). Equality of internal angles and vertex points in conformal hyperbolic triangles. Cumhuriyet Science Journal, Cilt: 41 - Sayı: 3, 642–650. https://ajindex.com/articles/478070

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References (9)

  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.