Talk:Pi (mathematical constant)/Proofs/An elementary proof that 22 over 7 exceeds π

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Can we call this article "Approximations of Pi" and list all modern approximations; this seems awfully specific and targetted.--Robert W King 15:03, 14 August 2007 (CDT)

Although specific, this result is quite famous and has inspired further research. Besides the paper by Lucas mentioned in the article, F. Beukers notably found a generalization that not only produces a sequence of rational approximations of π, but also provides an irrationality measure for π. Fredrik Johansson 17:02, 14 August 2007 (CDT)

I agree. Approximations to π is a far broader topic. I was so bold in the initial draft of article as to call this "startling and elegant" and I think that justifies it as a separate article. An article on approximations to π would be rather different in spirit. Michael Hardy 17:37, 14 August 2007 (CDT)