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Some new types of associated curves in euclidean 3-space

  • Ankara University

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper, we introduce the concept of D-direction curve and C-direction curve of a given curve using the alternative frame {N, C, W} in Euclidean 3-space. Furthermore, we define a (N, C) plane curve, a (N, W) plane curve and a (C, W) plane curve of a given curve, and give some results related to them. Finally, we present some illustrated examples for new associated curves.

Original languageEnglish
Pages (from-to)205-221
Number of pages17
JournalAnalele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volume26
Issue number1
DOIs
Publication statusPublished - 2018

Keywords

  • Associated curves
  • C-slant helix
  • General helix
  • Integral curve
  • Slant helix

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