MathDB

In a dihedral angle of measure

c

two non-intersecting spheres are inscribed, the centers of which are located on a straight line perpendicular to the edge of the dihedral angle. The points of contact of these spheres with the edges of the corner are at distances

a

and

b

from the edge. Let us consider an arbitrary plane tangent to these spheres and intersecting the segment connecting their centers. Let us denote by

\phi

the measure of the angle formed at the intersection of this plane with the faces of a given dihedral angle. Find the greatest value

\phi

Problem Statement