Geometry Problem 1431: Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles

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.
 
 

Geometry Problem 1431: Right Triangle with three circles on the sides, Isosceles, Tangent, Congruence, Tutor
 


Typography and Sketching of Problem 1431 using iPad Apps


Typography and Sketching of problem 1401 using iPad Apps, Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles


Animation of the Conformal Mapping of Problem 1431

Animation: Geometric Art: Conformal Mapping or Transformation of Problem 1431, iPad Apps, Art, SW, Tutor

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.