An n−simplex is circumscriptible if there is a sphere tangent to
each of its n(n + 1)/2 edges. We prove that the radius of the curcumscribed
sphere is at least √((2n)/(n-1)) times the radius of the edge-tangent sphere in the
circumscriptible n−simplex. This settles affirmatively a part of a problem
posed by the authors.