The figure below shows
a triangle ABC with three mutually tangent circles of centers A, B, C so
that D, E, F are the points of tangency. The diameter GH of the circle B
is parallel to AC and AH meets CG at M. Prove that the points D, M, and
E are collinear.

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Geometry Problems

Ten problems: 1401-1410

Visual Index

Open Problems

All Problems

Triangle

Circle

Diameter

Tangent Circles

Parallel lines

Collinear Points

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