The figure below shows
a triangle ABC with the circumcircle of center O so that a chord DE is
parallel to AC. A circle O_{1} is tangent to the arc AD and
tangent to DE and AB. A circle O_{2} is tangent to the arc CE and
tangent to DE and BC. Prove that the angles ABO_{1} and CBO_{2}
are congruent.

## Typography and Sketching of Problem 1431 using iPad Apps

### 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.