Abstract
In this paper, we obtain the intrinsic equations of some special curves in Euclidean 3-space characterized by det (Psi((r1))(s), Psi((r2))(s), Psi((r3))(s)) = 0 , where r(i) < r(i+1), r(1) is an element of{2,3,4}, r(2) is an element of{2,3,4} and r(3) is an element of{3,4,5}.