Surface family with a common involute asymptotic curve

BAYRAM E., Bilici M.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.13, sa.5, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0219887816500626
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Involute curve, parametric surface, asymptotic curve, Frenet frame, PARAMETRIC REPRESENTATION, MINKOWSKI 3-SPACE, PENCIL, CURVATURE, LINE
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We construct a surface family possessing an involute of a given curve as an asymptotic curve. We express necessary and sufficient conditions for that curve with the above property. We also present natural results for such ruled surfaces. Finally, we illustrate the method with some examples, e.g. circles and helices as given curves.