On Dual Similar Partner Curves in Dual 3-space

In this paper, For dual numbers in dual 3-space ID3, we define the new families of curves which are called dual similar curves in dual 3-space with variable transformation. Then, we prove some theorems and characterizations about this family, we show that a family of dual similar curves are formed the family of curves with wanishing curvatures in dual 3-space ID3.