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 S1 is the area of the square ACDE,
prove that S1 = 4S
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.