On the Line Congruences

Year 2018, Volume: 11 Issue: 2, 47 - 53, 30.11.2018

Ferhat Taş , Osman Gürsoy

https://doi.org/10.36890/iejg.545123

Cited By: 5

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 (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

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