Circles (A59a) and (A59b): First García pair

Definition

In the Arbelos draw the tangents from O1 to (O2) and from O2 to (O1). Connect the two points of tangency found by these tangents (also lying on the midway circle (O')). This line cuts off chords which are the diameters of Archimedean circles (A59a) and (A59b). [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


Back to Catalogue
Home.