Circles (A_20a) and (A_20b): The lifted cousin circles

Definition

The centers A_20a and A_20b of these circles are the highest points of (A_5a) and (A_5b) and they pass through the centers of (A_5a) and (A_5b) [Dodge et al 1999].

Properties

1. Let A' and B' be the points on ray CD such that AC=AÇ and BC=B'C. The incircles of the squares inscribed in triangles ABB' and ACC' with a vertex coinciding with C are (A_5a) and (A_5b). [FvL, 17 Mar 2008]
   

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