Frenet-serret motion and ruled surfaces with constant slope

YAYLI Y., Ziplar E.

International Journal of Physical Sciences, cilt.6, sa.29, ss.6727-6734, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 29
  • Basım Tarihi: 2011
  • Doi Numarası: 10.5897/ijps11.1443
  • Dergi Adı: International Journal of Physical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, CAB Abstracts, Veterinary Science Database
  • Sayfa Sayıları: ss.6727-6734
  • Anahtar Kelimeler: Constant slope surfaces, Frenet-serret motion, Helix curves, Ruled surfaces, Smarandache curves
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study Frenet-Serret motion and ruled surfaces with constant slope in Euclidean 3-space. By applying Frenet-Serret motion to the points of a cone, we obtain ruled surfaces with constant slope and we investigate these surfaces. We give the definition of a Smarandache curve in Euclidean 3-space. Also, we define a new type of general helix curves on a ruled surface in Euclidean 3-space. © 2011 Academic Journals.