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Generalized Helices and Singular Points

Journal: Caspian Journal of Mathematical Sciences (Vol.6, No. 2)

Publication Date:

Authors : ; ;

Page : 131-142

Keywords : Slant helices; clad and g-clad helices; Darboux surface; striction line;

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Abstract

In this paper, we define X-slant helix in Euclidean 3-space and we obtain helix, slant helix, clad and g-clad helix as special case of the X-slant helix. Then we study Darboux, tangential darboux developable surfaces and their singular points. Especially we show that the striction lines of these surfaces are singular locus of the surfaces.

Last modified: 2018-01-18 00:58:42