NORMAL DIRECTION CURVES AND APPLICATIONS

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KIZILTUĞ S., Onder M., YAYLI Y.

MISKOLC MATHEMATICAL NOTES, cilt.22, sa.1, ss.363-374, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.1476
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.363-374
  • Anahtar Kelimeler: associated curve, normal-direction curve, normal-donor curve, MANNHEIM PARTNER CURVES, HELICES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, we define a new type of associated curves in the Euclidean 3-space such as normal-direction curve and normal-donor curve. We obtain characterizations for these curves. Moreover, we give applications of normal-direction curves to some special curves such as helix, slant helix, plane curve or normal-direction (ND)-normal curves in E-3. And, we show that slant helices and rectifying curves can be constructed by using normal-direction curves.