MathDB
TOT 421 1994 Autumn O J2 constant ratio OA/OB

Source:

June 12, 2024
ratiofixedgeometrygeometric constructionpoint construction

Problem Statement

Two circles, one inside the other, are given in the plane. Construct a point OO, inside the inner circle, such that if a ray from OO cuts the circles at AA and BB respectively, then the ratio OA/OBOA/OB is constant.
(Folklore)