On the striction curves of involute and bertrandian frenet ruled surfaces in E3
Applied Mathematical Sciences, cilt.9, sa.141-144, ss.7081-7094, 2015 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 141-144
- Basım Tarihi: 2015
- Doi Numarası: 10.12988/ams.2015.59606
- Dergi Adı: Applied Mathematical Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.7081-7094
- Anahtar Kelimeler: Bertrand curve pair, Evolute curve, Frenet ruled surface, Involute curve, Ruled surfaces, Striction curves
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
© 2015 Ş. Kiliçoğlu, S. Şenyurt and H. H. Hacisalihoğlu.In this paper, we consider twelve special ruled surfaces associated to the evolute curve α, involute curve α* and Bertrand curve α** with k1 ≠ 0. They are called as Frenet ruled surface, Involute Frenet ruled surfaces, and Bertrandian Frenet ruled surface cause of their generators are the Frenet vector fields of evolute curve α. First we give all the parametriza- tions of all Frenet ruled surfaces. Further we give only three matrices of striction curves along the Frenet ruled surface, Involute Frenet ruled surfaces, and Bertrandian Frenet ruled surface.