- Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 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 : 10 | Download : 5
Publication Date : 2018-12-01
Article Type : Other
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