A circle O is inscribed in a square ABCD. As shown in the figure below, a circle O1 with radius r1
is tangent to the arc BD of center A and
tangent to BC and CD. A circle O2
with radius r2 is tangent to circle O and tangent to AB and AD. Prove that r1 = 2r2.
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 problem1427
See also: Typography and poster of problem 1426.