The Image Curves on Surfaces at a Constant Distance from the Edge of Regression on a Surface of Revolution

In this paper, we investigate curve which is image curve on of meridian curve lying on , such that is a surface of revolution in and is surface at a constant distance from the edge of regression on this surface of revolution, for in . By calculating Darboux frame for pair of we compare the geodesic curvatures, the normal curvatures, the geodesic torsions of meridian curve on and its image on . And we research the relationships between these curves.