Circles (A60a) and (A60b): Second García pair

Definition

In the Arbelos intersect the circles (O1) and (O2) with the midway circle (O'). This yields four points of intersection on (O'), two of them "above" AB and two of them "below" AB. Connect the point of intersection above AB with (O1) with the point of intersection below AB with (O2). This line cuts a chord off (O1) which is the diameters of Archimedean circle (A60a). (A60b) is found likewise. [Emmanuel Antonio José García, june 2014]

Source: A. Bogomolny, Garcia's Archimedean Quadruplets from Interactive Mathematics Miscellany and Puzzles http://www.cut-the-knot.org/m/Geometry/GarciaTwins.shtml


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