Circles (A_54a) and (A_54b): The O-basal pair

Definition

Let the perpendicular to AB at O, on which we find A₂₇, meet the semicircle (O₁O₂)=(O') at E. The perpendiculars to BE and AE meet AB at A_54a and A_54b. The circles with these points as centers and passing through O are Archimedean. [FvL, 20 Mar 2008]

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