Circles (A52a), (A52b), (A52c), and (A52d): Cousins of the Second QTB Powerian Pair

Definition

Let J be the point where the circle on diameter AO2 meets CD, and also the circle on diameter BO1 meets CD. Construct the rectangle on segment AB with the side opposite to AB passing through J. The pairs of circles tangent to each other at on of the vertices of this rectangle apart from A and B, and also tangent to (O), are Archimedean. [FvL, 17 Mar 2008]


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