ON THE DETERMINATION OF A DEVELOPABLE SPHERICAL ORTHOTOMIC TIMELIKE RULED SURFACE

Year 2015, Volume: 3 Issue: 1, 75 - 83, 01.04.2015

Ö. Gökmen Yıldız , Siddika Ö. Karakuş , H. Hilmi Hacısalihoğlu

Abstract

In this paper, a method for determination of developable spherical orthotomic ruled surfaces generated by a spacelike curve on dual hyperbolic unit sphere is given by using dual vector calculus in R31 . We show that dual vectorial expression of a developable spherical orthotomic timelike ruled surface can be obtained from coordinates and the rst derivatives of the base curve. The paper concludes with an example related to this method.

Keywords

Ruled Surface, Developable Surface, Dual Hyperbolic Unit Sphere, Minkowski Space

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