Similar Curves With Variable Transformations

Details Similar Curves With Variable Transformations Similar Curves With Variable Transformations

2009-09-06

arxiv.org/abs/0909.1108v1

Mathematics

Differential Geometry

13 pages only

Scientific paper

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.

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