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ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE

Year 2011, Volume: 24 Issue: 1, 41 - 44, 14.01.2011

Nilgün Sönmez

https://izlik.org/JA96AE55TR

Abstract

In this study, we give isogonal conjugates from major contributions of the modern synthetic geometry of the triangle in hyperbolic plane.

Key Words: Hyperbolic Ceva theorem and Hyperolic sines theorem

Keywords

Hyperbolic Ceva theorem and Hyperolic sines theorem

References

  • Stahl, S., The Poincare half plane a gateway to modern geometry, Jones and Barlett Publishers, Boston, p. 298 (1993).
  • Sönmez, N., Some Features in Connection With Triangles in Poincaré Upper Half Plane, Demonstratio Mathematica, Vol 42, (2009).
  • Yılgör, B. E., Euclid Geometri ve Hiperbolik geometrinin Matematik Eğitimindeki Yeri, Yüksek Lisans Tezi, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2007.
  • Masal’tsev, L. A., Incidence Theorems in Spaces of Constant Curvature, Journal of Mathematical Sciences, Vol. 72, No 4 (1994).
  • Smart, R. James, Modern Geometries, Brooks/Cole Publishing Company, Pacific Grove, California, (1987).

⎪ln ⎛y(1 ⎝1(2x r)⎞⎞ r)⎟⎟

Year 2011, Volume: 24 Issue: 1, 41 - 44, 14.01.2011

Nilgün Sönmez

https://izlik.org/JA96AE55TR

Abstract

References

  • Stahl, S., The Poincare half plane a gateway to modern geometry, Jones and Barlett Publishers, Boston, p. 298 (1993).
  • Sönmez, N., Some Features in Connection With Triangles in Poincaré Upper Half Plane, Demonstratio Mathematica, Vol 42, (2009).
  • Yılgör, B. E., Euclid Geometri ve Hiperbolik geometrinin Matematik Eğitimindeki Yeri, Yüksek Lisans Tezi, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2007.
  • Masal’tsev, L. A., Incidence Theorems in Spaces of Constant Curvature, Journal of Mathematical Sciences, Vol. 72, No 4 (1994).
  • Smart, R. James, Modern Geometries, Brooks/Cole Publishing Company, Pacific Grove, California, (1987).
There are 5 citations in total.

Details

Primary Language English
Authors

Nilgün Sönmez

Publication Date January 14, 2011
IZ https://izlik.org/JA96AE55TR
Published in Issue Year 2011 Volume: 24 Issue: 1

Cite

APA Sönmez, N. (2011). ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science, 24(1), 41-44. https://izlik.org/JA96AE55TR
AMA 1.Sönmez N. ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science. 2011;24(1):41-44. https://izlik.org/JA96AE55TR
Chicago Sönmez, Nilgün. 2011. “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”. Gazi University Journal of Science 24 (1): 41-44. https://izlik.org/JA96AE55TR.
EndNote Sönmez N (January 1, 2011) ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science 24 1 41–44.
IEEE [1]N. Sönmez, “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”, Gazi University Journal of Science, vol. 24, no. 1, pp. 41–44, Jan. 2011, [Online]. Available: https://izlik.org/JA96AE55TR
ISNAD Sönmez, Nilgün. “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”. Gazi University Journal of Science 24/1 (January 1, 2011): 41-44. https://izlik.org/JA96AE55TR.
JAMA 1.Sönmez N. ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science. 2011;24:41–44.
MLA Sönmez, Nilgün. “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”. Gazi University Journal of Science, vol. 24, no. 1, Jan. 2011, pp. 41-44, https://izlik.org/JA96AE55TR.
Vancouver 1.Nilgün Sönmez. ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science [Internet]. 2011 Jan. 1;24(1):41-4. Available from: https://izlik.org/JA96AE55TR