SIMILAR CURVES WITH VARIABLE TRANSFORMATIONS

Authors : Mostafa F ELSABBAGH, Ahmad TALI

Pages : 80-90

View : 15 | Download : 11

Publication Date : 2013-12-01

Article Type : Research Paper

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
Keywords : General helices, Slant helices, Intrinsic equations