Resumen de A forgotten little chapter on isoperimetric inequalities: on the fraction of a convex and closed plane area lying outside a circle with it shares a diameter
Often sorne interesting or simply curious points are left out when developing a theory. lt seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. lt is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle.
