Curves According to the Successor Frame in Euclidean 3-Space

Year 2018, Volume: 22 Issue: 6, 1868 - 1873, 01.12.2018

Melek Masal

https://doi.org/10.16984/saufenbilder.425519

Cited By: 2

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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