Division point in the Poincare upper half plane

• Autorzy: Sonmez N.
• Języki publikacji: EN

Abstrakty

EN

In this work, it is shown that the coordinates of the division point can be determined by the formula in the Poincare upper half plane.

Słowa kluczowe

EN

Poincare distance; Poincare circle; Poincare upper half plane

PL

dystans Poincare'a; koło Poincare

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 1
• Strony: 185--192
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Sonmez N.

• Afyon Kocatepe University Faculty of Science and Literatures Department of Mathematics Ans Campus, 03200 - Afyonkarahisar, Turkey,

Bibliografia

• [1] J. W. Anderson, Hyperbolic Geometry, Springer-Verlag, London, Berlin, Heidelberg, 1999, p. 229.
• [2] E. F. Krause, Taxicab Geometry, Addison-Wesley, Menlo Park, California, 1975, p. 88.
• [3] R. S. Millman, G. D. Parker, Geometry a Metric Approach with Models, Verlag, New York Inc., 1991, p. 367.
• [4] N. Sönmez, On the geometry of Poincaŕe half plane, Ph. D. Thesis, Osmangazi Üniversity Institute of Science and Tecnology, 2006, p. 98.
• [5] S. Stahl, The Poincaŕe half plane a gateway to modern geometry, Jones and Barlett Publishers, Boston, 1993, p. 298.
• [6] J. Stilwell, Sources of hyperbolic geometry, Amer. Math. Soc., 1996, p. 153.
• [7] H. H. Uğurlu, M. Kazaz M., A. ve Özdemir, Stewart, Ceva and Menelaus theorems for geodesic triangles on the dual hyperbolic unit sphere H20 of the dual Lorentzian 3-space D31, III. Geometry Symposium, Eskisehir. (2005).
• [8] A. T. Yakut, Vertex angles of simplices in hyperbolic space, Ph. D. Thesis, Gazi Üniversity Institute of Science and Tecnology, (2004), p. 142.