Position vector of a developable $q$-slant ruled surface
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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.
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.
참고문헌 (18)
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