touchpoints of these circles with base of pyramid are concyclic
Source: Polish MO Recond Round 1977 p4
September 9, 2024
geometry3D geometrypyramidConcyclic
Problem Statement
A pyramid with a quadrangular base is given such that each pair of circles inscribed in adjacent faces has a common point. Prove that the touchpoints of these circles with the base of the pyramid lie on one circle.