Some global properties and constructions for closed curves in the plane
\textit{W. Cieslak} and \textit{W. Mozgawa} [ibid. 24, 221-228 (1987; Zbl 0629.53004)] proved several theorems on special pairs of points on rosettes (arc pairs, antipodal pairs, perimeter dividing normals). Here it is shown that most of the results presented there can be extended to very general classes of closed curves by using different methods of proof. Furthermore the notion of rosettes of constant width is discussed in more detail and some classical constructions for convex curves of constant width are generalized to them.
scientific article; zbMATH DE number 4044619