  In this work, it is shown that if $A$ is an $n$-by-$n$ convexoid matrix
(i.e., its field of values coincides with the convex hull of its eigenvalues),
then the field of any $(n-1)$-by-$(n-1)$ principal submatrix of $A$ is
inscribed in the field of $A$, i.e., the field is tangent to every side of the
polygon corresponding to the boundary of the field of $A$. This result
generalizes a special case established by Johnson and Paparella [Amer. Math.
Monthly 127 (2020), no. 1,45-53].
