An Examination on the Striction Curves in Terms of Special Ruled Surfaces

Abstract

In this paper, we firstly express ruled surfaces drawn by Frenet and Darboux vector fields of Bertrand mate curves depending on the Bertrand curve, which are called Bertrandian Frenet Ruled surfaces . Further the striction curves on these eigth special Frenet ruled surfaces have been calculated with a matrix representation . Then, the tangent vectors of the striction curves on these eigth special Frenet ruled surfaces are calculated with a matrix representation . Finally, we give some results with these vectors.

Keywords

• Bertrand curves
• Modified Darboux vector
• Striction curve
• Ruled surface

Kaynakça

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