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Generalized Helices and Singular Points
Journal: Caspian Journal of Mathematical Sciences (Vol.6, No. 2)Publication Date: 2017-07-01
Authors : Seher kaya; Yusuf Yaylı;
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.
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Last modified: 2018-01-18 00:58:42