POSITION VECTOR OF A DEVELOPABLE h-SLANT RULED SURFACE

O. KAYA1, M. ONDER

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Abstract

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

Keywords

position vector, slant ruled surface, developable ruled surface.