The figure below shows a triangle ABC with the circumcircle of center O so that a chord DE is parallel to AC. A circle O₁ is tangent to the arc AD and tangent to DE and AB. A circle O₂ is tangent to the arc CE and tangent to DE and BC. Prove that the angles ABO₁ and CBO₂ are congruent.
 
 

See solution below

 

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Typography and Sketching of Problem 1431 using iPad Apps

See solution below

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Animation of the Conformal Mapping of Problem 1431

Conformal Mapping

A conformal mapping or conformal transformation is a continuous mapping preserving the form of infinitesimal figures. This conformal map produces a realistic view of the original image or map. This the conformal mapping of problem1431.

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.