Ruled surfaces with different Blaschke approach

YAYLI Y., Saracoglu S.

Applied Mathematical Sciences, cilt.6, sa.57-60, ss.2945-2955, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 57-60
  • Basım Tarihi: 2012
  • Dergi Adı: Applied Mathematical Sciences
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.2945-2955
  • Anahtar Kelimeler: Dual vectors, Frenet frame, Ruled surface
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, using dual elements, Frenet and Blaschke frames, unit dual spherical curves are studied with ruled surfaces. Then, from some well-known approaches, new Blaschke approach of ruled surfaces is given. Moreover, kinematic interpretation of the moving Blaschke frame is presented with some theorems and their proofs. Finally, when we take the derivatives of the indicatrices by changing the parameter of the curve, we have new results.