On geometric properties of sets of positive reach in ${\mathbf{E}}^d$

Andrea Colesanti, Paolo Manselli

Some geometric facts concerning sets with positive reach in the Euclidean $d$-dimensional space ${\mathbf{E}}^d$ are proved. For $x_1$ and $x_2$ in ${\mathbf{E}}^d$ and $R>0$ let us denote b…