Given a Rectangle
, draw on an extension of . Bisect and call the Midpoint
. Now draw a Semicircle centered at , and construct the extension of which passes through the
Semicircle at . Then
has the same Area as
. This can be shown as follows:
Dunham, W. ``Hippocrates' Quadrature of the Lune.'' Ch. 1 in
Journey Through Genius: The Great Theorems of Mathematics.
New York: Wiley, pp. 13-14, 1990.