# Circles (A_{53a}) and (A_{53b}): Neighbourcouple of the second QTB Powerian pair

### Definition

Let O'_{1} and O'_{2} be the reflections of O_{1} and O_{2} through A and B respectively.
Let J be the point where the circle on diameter AO'_{2} meets CD, and
also the circle on diameter BO'_{1} meets CD. The circles tangent to each other at J and both tangent
to (O) are the Archimedean circles (A_{53a}) and (A_{53b}), another
Powerian pair. [FvL, 17 Mar 2008]

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