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.
- Kolmogorov Complexity
- Kolmogorov Constant
- Kolmogorov Entropy
- Kolmogorov-Sinai Entropy
- Kolmogorov-Smirnov Test
- Korselt's Criterion
- Kovalevskaya Exponent
- Kozyrev-Grinberg Theory
- k-Partite Graph
- Kramers Rate
- Krawtchouk Polynomial
- Kreisel Conjecture
- Kronecker Decomposition Theorem
- Kronecker Delta
- Kronecker Product
- Kronecker's Polynomial Theorem
- Kronecker Symbol
- Krull Dimension
- Kruskal's Algorithm
- Kruskal's Tree Theorem
- KS Entropy
- k-Statistic
- k-Subset
- k-Theory
- k-Tuple Conjecture