Circles (A31a) and (A31b): The Midarc circle pair

Definition

The midarc circle is the circle passing through the midpoints M, M1, and M2 of the three semicircles forming the arbelos. It also passes through the point of tangency of (O) and the incircle (O3) and through O and C. The circles with centers at the points of intersection of the Midway semicircle and the Midarc circle and tangent to AB are Archimedean [van Lamoen 2006].


Back to Catalogue
Home.