SURFACE FAMILY WITH A COMMON NATURAL ASYMPTOTIC LIFT
JOURNAL OF SCIENCE AND ARTS, no.2, pp.117-124, 2015 (ESCI)
- Publication Type: Article / Article
- Publication Date: 2015
- Journal Name: JOURNAL OF SCIENCE AND ARTS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.117-124
- Keywords: Asymptotic curve, Surface family, Natural lift curve, PARAMETRIC REPRESENTATION, PENCIL
- Ondokuz Mayıs University Affiliated: Yes
Abstract
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.