Similar Curves With Variable Transformations
Differential Geometry
2009-09-08 v1
Abstract
In this paper, we define a new family of curves and call it a {\it family of similar curves with variable transformation} or briefly {\it SA-curves}. Also we introduce some characterizations of this family and we give some theorems. This definition introduces a new classification of a space curve. Also, we use this definition to deduce the position vectors of plane curves, general helices and slant helices, as examples of a similar curves with variable transformation.
Keywords
Cite
@article{arxiv.0909.1108,
title = {Similar Curves With Variable Transformations},
author = {Mostafa F. El-Sabbagh and Ahmad T. Ali},
journal= {arXiv preprint arXiv:0909.1108},
year = {2009}
}
Comments
13 pages only