Table of Contents:
The Bridges of Konigsberg
The Value of Pi
Prime Numbers
Famous Paradoxes
The Problem of Points Proof of the Pythagorean Theorem

The Pythagorean theorem is one of the most famous in all of mathematics. It states:
Theorem: The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the legs.
There are many different proofs of the theorem (even one supplied by President Garfield in 1876!),
and we know that the Babylonians knew about the Pythagorean theorem about 1000 years before the time of
Pythagoras (born in 572 B.C.). Nonetheless, a rigorous,
general proof of the theorem requires the
development of deductive geometry, and thus it is thought that Pythagoras probably supplied
the first proof. Most math historians credit him with a
proof by dissection, which relies on the use of two squares, one inscribed inside the other. The Indian astronomer Bhaskara (11141185) developed this proof:
to Probability: Summary and Problems 
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