Generic Properties of Framed Rectifying Curves

Yongqiao Wang, Donghe Pei and Ruimei Gao
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Yongqiao Wang: School of Science, Dalian Maritime University, Dalian 116026, China
Donghe Pei: School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
Ruimei Gao: Department of Science, Changchun University of Science and Technology, Changchun 130022, China

Mathematics, 2019, vol. 7, issue 1, 1-12

Abstract: The position vectors of regular rectifying curves always lie in their rectifying planes. These curves were well investigated by B.Y.Chen. In this paper, the concept of framed rectifying curves is introduced, which may have singular points. We investigate the properties of framed rectifying curves and give a method for constructing framed rectifying curves. In addition, we reveal the relationships between framed rectifying curves and some special curves.

Keywords: framed rectifying curves; singular points; framed helices; centrodes; circular rectifying curves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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