New Geometric Discovery or Rediscovery? 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

 


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.

 

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Geometry Problems
Ten problems: 1381-1390
Visual Index
Open Problems
All Problems
Triangle
Circle
Diameter
Tangent Circles
Parallel lines
Collinear Points
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