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

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Turkish Journal of Science
Volume:5 Issue:2
An Examination on the Striction Curves in Terms of Special Ruled Surfaces

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

Authors : Şeyda KILIÇOGLU

Pages : 118-123

View : 45 | Download : 10

Publication Date : 2020-10-31

Article Type : Research Paper

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

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