KaydedilenlerDerginizi ekleyin

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

Equality of internal angles and vertex points in conformal hyperbolic triangles

Ömer ALSAN
Ümit TOKEŞER
Sayfa
642–650
Yayın Tarihi
2022-10-12
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:Especially in these special conformal triangles, the conformal hyperbolic equilateral triangle and the conformal hyperbolic isosceles triangle, the internal angles and vertices are shown.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (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.