Online Geometry Problem 810: Trisecting a Line Segment AB, Two Circles, Radius, Center, Diameter, Chord. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a line segment AB. Circles with radius AB and centers A and B cut at C and D. DA extended and DB extended cuts circles A and B at F and E, respectively. AF and BC meet at G, BE and AC meet at H. Prove that DH and DG trisect AB (i.e., AM = MN = NB).