Rectangle Squaring
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 theSemicircle at 
. Then 
has the same Area as . This can be shown as follows:
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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.
- Fortunate Prime
- Forward Difference
- Fountain
- Four Coins Problem
- Four-Color Theorem
- Fourier-Bessel Series
- Fourier-Bessel Transform
- Fourier Cosine Series
- Fourier Cosine Transform
- Fourier Integral
- Fourier Matrix
- Fourier-Mellin Integral
- Fourier Series
- Fourier Series--Power Series
- Fourier Series--Right Triangle
- Fourier Series--Square Wave
- Fourier Series--Triangle
- Fourier Series--Triangle Wave
- Fourier Sine Series
- Fourier Sine Transform
- Fourier-Stieltjes Transform
- Fourier Transform
- Fourier Transform--1
- Fourier Transform--Cosine
- Fourier Transform--Delta Function