# Circles (A_{44a}) and (A_{44b}): First QTB Powerian pair

### Definition

Let M, M_{1}, and M_{2} be the highest points of (O), (O_{1}), and (O_{2}) respectively.
Let the incenter of MM_{1}M_{2} be I_{M}. Then the two circles tangent to each other at
I_{M} and both tangent to (O) are Archimedean, thus forming a Powerian pair. They are named after
their author Quang Tuan Bui. [Bui 2007]

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