SURFACE FAMILY WITH A COMMON NATURAL LINE OF CURVATURE LIFT
JOURNAL OF SCIENCE AND ARTS, sa.4, ss.321-328, 2015 (ESCI)
- 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.321-328
- Anahtar Kelimeler: suface curve, curvature lift, differential geometry, PARAMETRIC REPRESENTATION, PENCIL
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
We construct a surface family possessing a natural lift of a given curve as a line of curvature. We obtain necessary and sufficient condition for the given curve such that its natural lift is a line of curvature on any member of the surface family. Finally, we present some illustrative examples.