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ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE

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

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

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

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
Journal Section Mathematics
Authors

Nilgün Sönmez

Publication Date January 14, 2011
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.
AMA Sönmez N. ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science. January 2011;24(1):41-44.
Chicago Sönmez, Nilgün. “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”. Gazi University Journal of Science 24, no. 1 (January 2011): 41-44.
EndNote Sönmez N (January 1, 2011) ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science 24 1 41–44.
IEEE N. Sönmez, “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”, Gazi University Journal of Science, vol. 24, no. 1, pp. 41–44, 2011.
ISNAD Sönmez, Nilgün. “ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE”. Gazi University Journal of Science 24/1 (January 2011), 41-44.
JAMA 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, 2011, pp. 41-44.
Vancouver Sönmez N. ISOGONAL CONJUGATES IN POINCARE UPPER HALF PLANE. Gazi University Journal of Science. 2011;24(1):41-4.