On the Line Congruences

Authors : Ferhat TAŞ, Osman GÜRSOY

Pages : 47-53

Doi:10.36890/iejg.545123

View : 12 | Download : 9

Publication Date : 2018-11-30

Article Type : Research Paper

Abstract :The purpose of this paper is to find the quantities and surfaces of a line congruence via examining it in the dual space and to represent the results more appropriately for computational approximations. For this, we take mainly two-dual parameter motion on the dual unit sphere insert ignore into journalissuearticles values(DUS); so, we get a line congruence corresponding this motion by a new method. Thus, the equations of the developable surfaces, the principal surfaces, the focal surfaces and the center surface of the line congruence are found by coordinate functions. The results are illustrated by examples.
Keywords : Differential line geometry, Ruled surface, Developable ruled surface