Circles (A_24a), (A_24b), (A_24c), and (A_24d): The Power circles

Definition

Let M₁ and M₂ be the midpoints of arcs (O₁) and (O₂) respectively. The four circles tangent to OM₁ and OM₂ and also tangent to (O) are Archimedean. [Power, 2005]

Powerian Pairs

After these two pairs of Archimedean circles, we call pairs of Archimedean circles tangent to each other in a given point and tangent to a given circle Powerian pairs. [van Lamoen, 2007]

Back to Catalogue
Home.