On Darboux Helices in Euclidean 3-Space
helices, slant helices, curves of constant precession, darboux vector
Abstract
In this paper, we introduce a Darboux helix to be a curve in 3-space whose Darboux vector makes a constant angle with a fixed straight line. We completely characterize Darboux helices in terms of and thus prove that the class of Darboux helices coincide with the class of slant helices. In special, if we take = constant, the curves are curve of constant precession.
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References
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Published
2012-11-22
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This work is licensed under a Creative Commons Attribution 4.0 International License.