  Connect each vertex of a convex quadrilateral Q to the midpoint of the next
(proceeding counterclockwise) side. The four connecting lines create an
interior quadrilateral I. We study the ratio area(I)/area(Q). We also determine
what happens to area(I)/area(Q) when the four midpoints are replaced by points
which divide the sides in the ratio of rho to (1-rho) proceeding clockwise.
Here rho is any fixed number satisfying 0 < rho < 1.
