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:

**References**

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.

© 1996-9

1999-05-25