Bisector Surfaces Through A Common Line of Curvatures and Its Classifications

Authors : Muhammed Talat SARIAYDIN

Pages : 1760-1764

Doi:10.16984/saufenbilder.409153

View : 23 | Download : 9

Publication Date : 2018-12-01

Article Type : Research Paper

Abstract :In this paper, we study the Bisector surface, which defines the line of curvature on a surface play an importance role. Firstly, the Bisector surface constructed by a point and a space curve given in Euclidean 3-space. Then, it is investigated that the necessary and sufficient condition for directrix curve of this surface to satisfy line of curvature. After this, we classify the Bisector surfaces.
Keywords : Bisector surface, Ruled surface, line of curvature