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  • 标题:Curves According to the Successor Frame in Euclidean 3-Space
  • 本地全文:下载
  • 作者:Melek Masal
  • 期刊名称:Sakarya University Journal of Science
  • 印刷版ISSN:1301-4048
  • 电子版ISSN:2147-835X
  • 出版年度:2018
  • 卷号:22
  • 期号:6
  • DOI:10.16984/saufenbilder.425519
  • 语种:English
  • 出版社:Sakarya University
  • 摘要: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 Spair, the distance between the corresponding points of these curves is found.
  • 关键词:Successor frame;Successor curves;Slant helix;Involute-evolute curves
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