As shown in the figure below, O and Q are the centers of equal
intersecting circles at A and B so that OA is tangent to circle Q at A. If
S is the area of the triangle OAC and S_{1} is the area of the square ACDE,
prove that S_{1} = 4S

### Geometric Art of Problem 1428: Sketching, Typography, iPad Apps

### Animation of the Conformal Mapping or Transformation of Problem 1428

### 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 transformation of
problem1428.

See also:
Typography and poster of problem 1426.