Geometry Problem 1402: Triangle, Three Tangent Circles, Parallel Diameter, Collinear Points

Proposition

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.
 
 

New Discovery or Rediscovery? Geometry Problem 1402: Triangle, Three Tangent Circles, Parallel Diameter, Collinear Points, Tutor

 

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Art of Problem 1402, Circle Patterns using iPad Apps


Art of problem 1402, circle patterns, using iPad Apps

Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids. A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

 


Geometry Problem 1402 Solution(s)