MathDB
Hungary-Israel Binational 2008\6

Source: construction of an isosceles triangle

November 5, 2008
geometryconicshyperbolageometric transformationreflectionangle bisectorgeometry unsolved

Problem Statement

P and Q are 2 points in the area bounded by 2 rays, e and f, coming out from a point O. Describe how to construct, with a ruler and a compass only, an isosceles triangle ABC, such that his base AB is on the ray e, the point C is on the ray f, P is on AC, and Q on BC.