On the Determination of Ruled and Developable Surfaces in Euclidean 3-space E³-Reference-Cited by-同舟云学术

On the Determination of Ruled and Developable Surfaces in Euclidean 3-space E³

Published:2020-11-12 Issue: Volume:19 Page:564-570
ISSN:1109-2769
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Abdel-Baky Rashad A.¹,Mofarreh Fatemah²

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Assiut, Assiut, Egypt

2. Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Abstract

Depending on E. Study’s map, the method of determination of ruled and developable surfaces is introduced. We show that dual vectorial expression of ruled and developable surfaces will be gained from coordinates and the first derivatives of the base curve. We illustrated this method by giving some representative examples.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference17 articles.

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4. H. Pottman, and J. Wallner. Computational Line Geometry, Springer-Verlag, Berlin, Heidelberg 2001.

5. M.J. Mancewicz, and W.H. Frey. Developable Surfaces: Properties, Representations and Methods of Design, General Motors R&D Publication, 1992.

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