MathDB

poles of inversions that transform 4 collinear points into vertices of rectangle

Source: Spanish Mathematical Olympiad 1967 P2

December 4, 2022

geometryrectangleInversioncollinear

Problem Statement

Determine the poles of the inversions that transform four collienar points

A,B, C, D

, aligned in this order, at four points

A'

B'

C'

D'

that are vertices of a rectangle, and such that

A'

and

C'

are opposite vertices.