Praying Eyes Theorem

Description and proof

A 3D view

As in the Eyeball theorem, the Praying Eyes variant seems to admit a generalization in 3D. Turn circles (A), (C) into spheres and line GH into a plane perpendicular to the plane of circles (A) and (C). The intersections of the plane (in green) and the two spheres are two congruent circles.

Related topics

Focus on the Eyeball Theorem