ABSTRACT
Later the problem of Delaunay was investigated by many authors (see 1201, [33]- [35]). Schwartz observed the following f x t : the problem of Delaunay has no solution in some special cases. For example, if the distance d between two points PI and P2 is greater than 2, then for any l > d there exists a curve connecting PI and P2, which has a constant curvature k = 1 and length equal to l; this curve is a suitable helix. This means that Delaunay's problem has no solution.
