isosceles trapezoids - All-Russian MO 1996 Regional (R4) 10.3
Source:
September 23, 2024
geometrytrapezoid
Problem Statement
Given an angle with vertex . Construct point as follows. Let us take an arbitrary isosceles trapezoid whose sides lie on the sides of a given angle. Through two opposite ones draw tangents to the vertices of the circle circumscribed around it. Let denote the point of intersection of these tangents. What figure do all such points form?