SURFACE FAMILY WITH A COMMON NATURAL ASYMPTOTIC LIFT

BAYRAM E., Ergün E., Kasap E.

JOURNAL OF SCIENCE AND ARTS, sa.2, ss.117-124, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.117-124
  • Anahtar Kelimeler: Asymptotic curve, Surface family, Natural lift curve, PARAMETRIC REPRESENTATION, PENCIL
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, we find a surface family possessing the natural lift of a given curve as a common asymptotic curve. We express necessary and sufficient conditions for the given curve such that its natural lift is an asymptotic curve on any member of the surface family. We present important results for ruled surfaces. Finally, we illustrate the method with some examples.