Generated Surfaces via Inextensible Flows of Curves in R3. (7th June 2016)

• Record Type: Journal Article
• Authors: Hussien, Rawya A.; Mohamed, Samah G.
• Other Names: Inc Mustafa Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2016(2016)
• Publication Date: 2016-06-07
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2016/6178961
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We study the inextensible flows of curves in 3-dimensional Euclidean space R 3 . The main purpose of this paper is constructing and plotting the surfaces that are generated from the motion of inextensible curves in R 3 . Also, we study some geometric properties of those surfaces. We give some examples about the inextensible flows of curves in R 3 and we determine the curves from their intrinsic equations (curvature and torsion). Finally, we determine and plot the surfaces that are generated by the motion of those curves by using Mathematica 7.