Expansions on a Geometric Proof of the Irrationality of the Square Root of Two
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چکیده
A number of expansions to the geometric proof of the irrationality of the square root of two have been put forward in the paper “Irrationality From The Book” by Steven J. Miller and David Montague. There are a number of other conceptually simple expansions which can be attempted. This paper shows some basic work towards proving the irrationality of √ p, where p is a prime, and of 3 √ 2. Although no final proofs are presented, preliminary work is shown which might help future mathematicians to find a geometric proof of these facts, or at least avoid some dead ends.
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تاریخ انتشار 2009