# Circles (A_{25a}) and (A_{25b}): The Midway semicircle circles

### Definition

Let the Midway semicircle be the semicircle on diameter O_{1}O_{2}.
The points where the Midway semicircle meets (O_{1}) and (O_{2}) are the
centers of Archimedean circles tangent to CD. [van Lamoen 2006]

### Properties

- (A
_{25a}) is tangent to the line connecting A and the point where (A_{10a}), (O) and the circle with center B through C meet.
Similarly for (A_{25b}). [van Lamoen 2006]

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