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	STUDIA MATHEMATICA - Issue no. 3 / 2015

	Article:	CURVES WITH CONSTANT GEODESIC CURVATURE IN THE BOLYAI-LOBACHEVSKIAN PLANE. Authors: .


	Abstract: The aim of this note is to present the curves with constant geodesic curvature of the Bolyai-Lobachevskian hyperbolic plane. By using the Lobachevskian metric the equations of the circle, paracycloid and hipercycloid are given. Furthermore, we determine a new family of curves with constant curvature which was not emphasized before. During the analysis we use Cartesian and polar coordinates. Mathematics Subject Classification (2010): 53A35. Keywords: hyperbolic geometry, geodesics, orthogonal trajectory, polar coordinates.




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