MathDB
3 planes intersect along one line

Source: Polish MO Second Round 1963 p6

August 31, 2024
geometry3D geometry

Problem Statement

From the point S S of space arise 3 3 half-lines: SA SA , SB SB and SC SC , none of which is perpendicular to both others. Through each of these rays, a plane is drawn perpendicular to the plane containing the other two rays. Prove that the drawn planes intersect along one line d d .