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

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.

Geometry Problems

Ten problems: 1411-1420

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Open Problems

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Square

Circle

Intersecting Circles

Tangent Line

Area

Triangle Area

Square Area

Quadrilateral

Congruence

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