Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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POSITION VECTOR OF A DEVELOPABLE q-SLANT RULED SURFACE

  • Received : 2018.04.18
  • Accepted : 2018.10.07
  • Published : 2018.12.30
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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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FIGURE 1

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FIGURE 2

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