Circles (A_7a) and (A_7a): The 2nd and 3rd rectangle circles

Definition

The smallest circle tangent to CD and passing through the point of tangency of the common tangent of (O₁) and (O₂) to (O₁) is (A_7a). The smallest circle tangent to CD and passing through the point of tangency of the common tangent of (O₁) and (O₂) to (O₂) is (A_7b).[Dodge e.a. 1999]

Properties

• As the points of tangency of common tangent of (O₁) and (O₂) to (O₁) and (O₂) respectively form a rectangle together with C and D, (A_7a) and (A_7a) are symmetrics of (A₃).

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