POSITION VECTOR OF A DEVELOPABLE h-SLANT RULED SURFACE

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2017

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Abstract

In physics and geometry, the determination of position vector of a movingpoint is an important problem, since the trajectory of that point is a curve or a surfacewhich are important in physics, geometry, and applied sciences. By considering thisimportance, in this paper, we give a new characterization for a special ruled surfacecalled h-slant ruled surface in the Euclidean 3-space E3. Later, using the obtainedresult, we study the position vector of a developable h-slant ruled surface in E3. Weobtain the natural representations for the striction curve and ruling of an h-slant ruledsurface. Then, we give general parameterization of a developable h-slant ruled surface.Finally, we introduce some examples of obtained results

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