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On a line congruence which has the parameter ruled surfaces as principal ruled surfaces
Journal article   Peer reviewed

On a line congruence which has the parameter ruled surfaces as principal ruled surfaces

Rashad A Abdel-Baky
Applied mathematics and computation, Vol.151(3), pp.849-862
15/04/2004
DOI: https://doi.org/10.1016/S0096-3003(03)00541-1

Abstract

In this paper, by using dual vector calculus, a line congruence which has the parameter ruled surfaces as principal ruled surfaces, is introduced. Then some well-known formulas of surfaces theory are proved. Moreover, geometric explanations of these formulas are given.

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