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2018•Unpublished venueRequires access

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

‪Onur Kaya, Mehmet Önder

Open publisher page 6 citations

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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What this paper is about

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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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Ruled surface, Frenet–Serret formulas, Developable surface, Mathematics, Surface (topology), Conical surface, Position (finance), Geometry

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