  In geometry, Monge's theorem states that for any three nonoverlapping circles
of distinct radii in the two dimensional analytical plane equipped with the
Euclidean metric, none of which is completely inside one of the others, the
intersection points of each of the three pairs of external tangent lines are
collinear. So, it is clearly observed that Monge's theorem is an application of
Desargues' theorem. Our main motivation in this study is to show whether Monge
theorem is still valid even if the plane is equipped with the metrics alpha and
Lp.
