Minimal Surfaces with Reference to the Line of Striction of the Asymptotic Lines

In a paper published in the Mathematical Gazette Vol. 13 (1926), Dr. C. E. Weatherburn has shown that a singly infinite family of curves on a surface possesses a line of striction-the locus of points where the geodesic curvature of the orthogonal trajectories of the family of curves vanishes. The object of the present paper is to obtain some minimal surfaces with reference to the line of striction of the asymptotic lines.