Abstract In this paper we define associated spherical partner, radial function and radial spherical function for space curve which doesn't lie on the sphere in Euclidean 3-space. Using these notions… Click to show full abstract
Abstract In this paper we define associated spherical partner, radial function and radial spherical function for space curve which doesn't lie on the sphere in Euclidean 3-space. Using these notions we discuss some special curves and their associated spherical partners. Especially we give a new necessary and sufficient condition for the rectifying curves in Euclidean 3-space.
               
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