ABSTRACT
Thus the vector c is orthogonal to the plane spanned by a and b, and the length of c is equal to sin cp. Hence an angle between the vector tangent to y and the fixed vector c is constant. Curves whose tangent vectors have such properties are called slope curves. Since drlds = T , by integrating this relation we find the position vector of 7
Thus, the position vector of the curve y with a constant ratio of the curvature and torsion has form (1 5. 1). One may show that the ratio of the curvature and torsion of a curve with the position vector of form (15.1) is constant.
