Curves According to the Successor Frame in Euclidean 3-Space

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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:22 Issue:6
Curves According to the Successor Frame in Euclidean 3-Space

Curves According to the Successor Frame in Euclidean 3-Space

Authors : Melek MASAL

Pages : 1868-1873

Doi:10.16984/saufenbilder.425519

View : 33 | Download : 14

Publication Date : 2018-12-01

Article Type : Research Paper

Abstract :In the present study, the successor formulae of the successor curves defined by Menninger [1] are given. Then, by defining the successor planes, the geometric meanings of the successor curvatures are investigated and the relations across the components of the position vectors of successor curves are found. Furthermore, in this study, it is proven that lies in the 3rd.type successor plane, lies in the 1st type successor plane and by defining the involute-evolute S-pair, the distance between the corresponding points of these curves is found.
Keywords : Successor frame, Successor curves, Slant helix, Involute evolute curves

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