SIMILAR CURVES WITH VARIABLE TRANSFORMATIONS

Abstract

In this paper, we define a new family of curves and call it a familyof similar curves with variable transformation or briefly SA-curves. Also weintroduce some characterizations of this family and we give some theorems.This definition introduces a new classification of a space curve. Also, we usethis definition to deduce the position vectors of plane curves, general helicesand slant helices, as examples of a similar curves with variable transformation