Table of Contents:
Famous Problems Home
The Bridges of Konigsberg
· Euler's Solution
· Solution, problem 1
· Solution, problem 2
· Solution, problem 4
· Solution, problem 5
The Value of Pi
· A Chronological Table of Values
· Squaring the Circle
Prime Numbers
· Finding Prime Numbers
Famous Paradoxes
· Zeno's Paradox
· Cantor's Infinities
· Cantor's Infinities, Page 2
The Problem of Points
· Pascal's Generalization
· Summary and Problems
· Solution, Problem 1
· Solution, Problem 2
Proof of the Pythagorean Theorem
Proof that e is Irrational
Book Reviews
References
Links

Historians estimate that by 2000 B.C. humans had noticed that the ratio of
circumference to diameter was the same for all circles. This discovery hinged
on the idea of proportion  in this case humans noticed that if you double the
distance "across" a circle, then you double the distance "around" it. In today's
algebraic notation this implied the formula


where Pi was constant. (It wasn't until 1706 that this notation, using the Greek letter
seen in the above equation  often written Pi and pronounced like the English 'pie'  was
introduced by William Jones).
The significance of this discovery is clear: Circles are everywhere  in the sun,
the moon, the pupils of our eyes, the most basic religious rituals and
the earliest manmade structures. Achieving a greater mathematical
understanding of Pi would lead to scientific and technological advances that would
further the development of civilization, as well as creating some very
interesting problems in pure mathematics.
But one problem remained  what is the numerical value of Pi?

to Euler's Solution of the Bridges of
Konigsberg Problem
to a Chronological Table of the Values
Attributed to Pi

