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Pappus and Radical Axis for Problem 5021

The Pappus configuration and two circumcircles used in the generalized solution to Crux Mathematicorum Problem 5021.

Methods SVG construction

Two directly similar triangles OAB and OCD. Lines AE and DF meet at P, while AC and BD meet at Q. The points O, Q, and P are collinear. The two circumcircles have centers K and L, and OP is perpendicular to KL.
The Pappus configuration and two circumcircles used in the generalized solution.Select the diagram to enlarge it.

This newly rendered figure records only the auxiliary construction used in the accompanying solution. It does not reproduce the original problem statement.