MathDB
computational geo with a sphere

Source: Polish MO Finals 1955 p6

August 29, 2024
geometrysphere3D geometry

Problem Statement

Through points A A and B B two oblique lines m m and n n are drawn perpendicular to the line AB AB . On line m m the point C C (different from A A ) is taken, and on line n n the point D D (different from B B ) is taken. Given the lengths of segments AB=d AB = d and CD=l CD = l and the angle φ \varphi formed by the oblique lines m m and n n , calculate the radius of the surface of the sphere passing through the points A A , B B , C C , D D .