• The Congruence of k-Curves

Abstract

In this paper we introduce the conditions about congruence of K-curves then by using of this conditions stated congruence of curves and surfaces. We prove the conditions about congruence of two curves in R2 and R3 in different case and discuss congruence of two curves by using the concept of isometry, translation and rotation without using torsion and curvature.And we study half-curves that created the graphs of their conjunctions as follows;

Our purpose of invariant curve is half-curve or segment of curve that less than limited in one side.(see [3,7])

Keywords: Congruence Theory, Isometry, Rotation, Translation