Let ω(Δn) denote the width of non degenerate Δ n in E n and r(Δn),V(Δn),V(Fk),ρij ,m k,R(Δn) denote the inradius, n-volume, (n-1)-volume, edge-length, mid-line-length, circumradius of the simplex, respectively. We prove the following: where equalities holds if and only if the simplex is regular. |