Inequalities for curves of constant breadth
A simple closed plane curve c is called convex if it surrounds a convex point set. It is called of constant breath if the distance of two arbitrary parallel support lines is constant. Some theorems on curves of constant breath are proved, which permit a simple estimate of breath and of the radii of circumcircle and incircle. The results can be used for construction and approximation of such curves.
scientific article; zbMATH DE number 4044611