# Circle (A_{41}): Reflection of Triplet circle through O'

### Definition

Let T be the point on CD beyond D such that CT = AB. The lines AT and BT meet again (O_{1}) and (O_{2})
in points I_{1} and I_{2}. The lines I_{1}O_{1} and I_{2}O_{2} meet in F.
The incircle of O_{1}O_{2}F is the Archimedean circle (A_{41}). It is the reflection of Bankoff's Triplet
Circle (A_{2}) through the midpoint O' of AB. [Bui 2007]

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