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arxiv: 1503.07385 · v1 · pith:R7NW5MB7new · submitted 2015-02-16 · 🧮 math.DG

Osculating direction curves and their applications

classification 🧮 math.DG
keywords curvesdirectionhelixosculatingapplicationscharacterizationscurvedefine
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In this study, we define a new type of direction curves in the Euclidean 3-space such as osculating-direction curve. We give the characterizations for these curves. Moreover, we obtain the relationships between osculating direction curves and some special curves such as helix, slant helix or rectifying curves.

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