Circle (A₁₇): The midpoint line reflection of Bankoff's triplet circle

Definition

Reflect (A₂) through line connecting the midpoints M₁ and M₂ of the arcs (O₁) and (O₂), and the result is the Archimedean circle (A₁₇) [Dodge e.a. 1999].

Properties

• (A₁₆) is tangent to the arc (O) and the arbelos incircle (O₃) at the same point. The circle on diameter M₁M₂ passes through this point as well [van Lamoen, 2006].
  

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