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

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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.

See also:

Geometry Problems

1311-1320

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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