Os sistemas completos de desigualdades propostos por Santaló
Abstract
In 1961, Santaló[21] suggested that, considering the family of the convex bodies in
R2, it was found a complete system of inequalities for each pair and each triple of the
functions area, perimeter, diameter, inradius, circunradius and minimal width. In this
work, we applied the technique developed by Blaschke[2] to solve all problems suggested
by Santaló, those are solved until now.