Most recent change of PiIsIrrational

Edit made on February 26, 2009 by DerekCouzens at 18:45:09

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The proof that pi is an irrational number is a little tricky.
You can find it easily with a Google search:


In fact, we have this continued fraction:


EQN:\pi is more than just an irrational number, it is a transcendental number.

An immediate consequence of Lindemann's proof of the transcendence of EQN:\pi is that it proves the impossibility of the geometric problem of antiquity known as squaring the circle i.e. constructing a square with the same area as a circle with ruler and compass only.