A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R13

Abstract

In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus in R-1(3). We show that dual vectorial expression of a developable spherical orthotomic spacelike and timelike ruled surface generated by a curve on dual Lorentzian unit sphere can be obtained from coordinates and the first derivatives of the base curve. The paper concludes with an example related to this method.