Geometry Problem 1321: Intersecting Circles, Diameter, Secant, Chord, Collinearity

Two circles with centers O and Q intersect at points E and F. AB and CD are diameters of circles O and Q, respectively. AC cuts the circles Q and O at G and H, respectively. BD cuts the circles Q and O at J and K. AK cuts DG at L. BH cuts CJ at M. Prove that the points F, L, M, and E are collinear.
 

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See also:
Geometry Problems
Ten problems: 1321-1330
Visual Index
Open Problems
All Problems
Intersecting Circles
Circle
Diameter
Secant
Collinear Points
See also:
Artwork of problem 1321
Sketch of problem 1321

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