Abstract
In this paper, we study to express the theory of curves including a wide section of Euclidean geometry in terms of dual vector calculus which has an important place in the three - dimensional dual space D-3. In other words, we study DAW (k)-type curves (1 <= k <= 3) by using Bishop frame de fined as alternatively of these curves and give some of their properties in D-3. Moreover, we de fine the notion of evolutes of dual spherical curves for ruled surfaces. Finally, we give some examples to illustrate our findings.