# Circles (A_{24a}), (A_{24b}), (A_{24c}), and (A_{24d}): The Power circles

### Definition

Let M_{1} and M_{2} be the midpoints of arcs (O_{1}) and (O_{2}) respectively.
The four circles tangent to OM_{1} and OM_{2} and also tangent to (O) are Archimedean.
[Power, 2005]

### Powerian Pairs

After these two pairs of Archimedean circles, we call pairs of Archimedean
circles tangent to each other in a given point and tangent to a given circle **
Powerian pairs**. [van Lamoen, 2007]

### Generalization

These circles have been generalized considerably by Hiroshi Okumura in 2013,
see Circles (A_{38a}), (A_{38b}), (A_{38c}), and (A_{38d}): The CD-circle Powerian Pairs

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