Static Diagram
Geometry Problem 901:
Intersecting Circles, Common External Tangent, Secant, Circumcircle, Concyclic Points, Cyclic Quadrilateral. Levels:
School, College, Mathematics Education
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The circles O and O_{1} intersect at A and B (see the figure above),
CD is the common external tangent, CA intersects circle O_{1} at E,
DA intersects circle O at F, FC and
ED intersect at G, BA intersects FG at H. If the circumcircle of
triangle EFG intersects circle O_{1} at J, prove that the points
B, C, H, J are concyclic.
See the dynamic diagram of problem 901
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Solution/Comment  by Antonio Gutierrez
