NORMAL RULED SURFACES OF A SURFACE ALONG A CURVE IN EUCLIDEAN 3-SPACE E-3

---

Copy For Citation

Abdel-Baky R. A., Nazra S. H.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, vol.17, no.4, pp.559-577, 2019 (ESCI)

• Publication Type: Article / Article
• Volume: 17 Issue: 4
• Publication Date: 2019
• Doi Number: 10.28924/2291-8639
• Journal Name: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.559-577
• Inonu University Affiliated: Yes

Abstract

In this paper, we define a ruled surface normal to a surface along a curve on the surface. Then, we analyze the necessary and sufficient condition for that surface to be normal developable. Also, we solve the problem when the resulting developable surface is a cylinder, cone or tangent surface. Finally, we give some representative examples.