Korean J. Math. Vol. 26 No. 4 (2018) pp.545-559
DOI: https://doi.org/10.11568/kjm.2018.26.4.545

Position vector of a developable $q$-slant ruled surface

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Published: Dec 30, 2018
Keywords:
Position vector, Slant ruled surface, Developable ruled surface
Mathematics Subject Classification:
53A25, 14J26

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Onur Kaya
Department of Mathematics Manisa Celal Bayar University Manisa 45140, Turkey
Mehmet Onder
Independent Researcher

Abstract

In this paper, we study the position vector of a developable $q$-slant ruled surface in the Euclidean 3-space $E^3$ in means of the Frenet frame of a $q$-slant ruled surface. First, we determinate the natural representations for the striction curve and ruling of a $q$-slant ruled surface. Then we obtain general parameterization of a developable $q$-slant ruled surface with respect to the conical curvature of the surface. Finally, we introduce some examples for the obtained result.


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Manisa Celal Bayar University

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