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

Keywords

• General helices,Slant helices,Intrinsic equations

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24. 1- Mathematics Department, Faculty of Science, Minia University, Minia, Egypt.
25. 2- Al-Azhar University, Faculty of Science, Mathematics Department, Nasr City, 11884, Cairo, Egypt.
26. 3- King Abdul Aziz University, Faculty of Science, Department of Mathematics, PO Box 80203, Jeddah, 21589, Saudi Arabia.
27. E-mail address: [e-mail] and [e-mail]