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CEVA, MENELAUS AND STEWART THEOREMS FOR GEODESIC TRIANGLES ON THE HYPERBOLIC UNIT SPHERE 2 H0

Year 2007, Volume: 2 Issue: 1, 104 - 110, 01.06.2007

Abstract

In this study, we give Ceva, Menelaus and Stewart Theorems for geodesic triangles on the hyperbolic unit sphere 2 H0 . 

References

  • AYRES F, 1954. Theory and Problems of Plane and Spherical Trigonometry, Schaum's Outline Series, Mc-Graw-Hill Book Company.
  • BELL C. AND THOMAS T.Y, 1943. Essentials of Plane and Spherical Trigonometry, Henry Hold and Company, New-York.
  • BIRMAN GS. AND NOMIZO K., 1984. Trigonometry in Lorentzian Geometry, Am. Math Mont., 91, 543-549.
  • BRONSTEIN IN., SEMENDJAJEV KA. MUSIOL G. AND MUHLIG H. 1995. Taschenbuch der Mathematik, Verlag Harri Deutsh, Frankfurt.
  • ÖZDEMIR A. AND KAZAZ M., 2005. Hyperbolic Sine and Cosine Rules for Geodesic Triangles on the Hyperbolic Unit Ssphere 2 H0 , Mathematical and Computational Applications, Vol. 10, No. 2, pp. 193-201.
  • RATCLIFFE J. G., 1994. Foundations of Hyperbolic Manifolds (Graduate Text in Mathematics), Vol.149, Springer Verlag.
  • UĞURLU H. H., KAZAZ M. AND ÖZDEMİR A., 2005. Fundamental Theorems for the Hyperbolic Geodesic Triangles, Mathematical and Computational Applications, Vol. 10, No. 2, pp. 231–238.
  • YAŞAYAN A. AND HEKIMOĞLU Ş., 1982. Küresel Trigonometri, K.T.Ü, Trabzon.

H0 HİPERBOLİK BİRİM KÜRESİ ÜZERİNDEKİ GEODEZİK ÜÇGENLER İÇİN CEVA, MENELAUS VE STEWART TEOREMLERİ

Year 2007, Volume: 2 Issue: 1, 104 - 110, 01.06.2007

Abstract

Bu çalışmada 2 H0 hiperbolik birim küresi üzerindeki geodezik üçgenler için Ceva, Menelaus ve Stewart teoremleri verilmektedir.

References

  • AYRES F, 1954. Theory and Problems of Plane and Spherical Trigonometry, Schaum's Outline Series, Mc-Graw-Hill Book Company.
  • BELL C. AND THOMAS T.Y, 1943. Essentials of Plane and Spherical Trigonometry, Henry Hold and Company, New-York.
  • BIRMAN GS. AND NOMIZO K., 1984. Trigonometry in Lorentzian Geometry, Am. Math Mont., 91, 543-549.
  • BRONSTEIN IN., SEMENDJAJEV KA. MUSIOL G. AND MUHLIG H. 1995. Taschenbuch der Mathematik, Verlag Harri Deutsh, Frankfurt.
  • ÖZDEMIR A. AND KAZAZ M., 2005. Hyperbolic Sine and Cosine Rules for Geodesic Triangles on the Hyperbolic Unit Ssphere 2 H0 , Mathematical and Computational Applications, Vol. 10, No. 2, pp. 193-201.
  • RATCLIFFE J. G., 1994. Foundations of Hyperbolic Manifolds (Graduate Text in Mathematics), Vol.149, Springer Verlag.
  • UĞURLU H. H., KAZAZ M. AND ÖZDEMİR A., 2005. Fundamental Theorems for the Hyperbolic Geodesic Triangles, Mathematical and Computational Applications, Vol. 10, No. 2, pp. 231–238.
  • YAŞAYAN A. AND HEKIMOĞLU Ş., 1982. Küresel Trigonometri, K.T.Ü, Trabzon.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Mehmet Önder This is me

Publication Date June 1, 2007
Published in Issue Year 2007 Volume: 2 Issue: 1

Cite

IEEE M. Önder, “CEVA, MENELAUS AND STEWART THEOREMS FOR GEODESIC TRIANGLES ON THE HYPERBOLIC UNIT SPHERE 2 H0”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 2, no. 1, pp. 104–110, 2007.