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.

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 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 Problems

Ten problems: 1411-1420

Visual Index

Open Problems

All Problems

Triangle

Circle

Circumcircle

Parallel lines

Chord

Tangent Circles

Congruence

Tangent Line

Angles

Apollonius
of Perga

iPad Apps

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