  For two properly intersecting effective cycles in projective space X,Y, and
their intersection product Z, the metric Bezout Theorem relates the degrees,
heights of X,Y, and Z, as well as their distances and algebraic distances to a
given point theta. Applications of this Theorem are in the area of Diophantine
Approximation, giving estimates for approximation properties of Z with respect
to $\theta$ against the ones of X, and Y.
