Circles (A_55a) and (A_55b): The outside basal pair

Definition

The circle with diameter from A to the point where A_52aA_52b meets AB is the Archimedean circle (A_55a). In a similar way we find (A_55b). [FvL, 20 Mar 2008]

Properties

• Consider the rectangle with vertices at A, B and the points of tangency of the Powerian pairs (A_52a)(A_52b) (A_52c)(A_52d). The perpendiculars to the diagonals of this rectangle at these points of tangency meets AB in A_55a and A_55b.

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