Recent content by chaoky

  1. C

    Does Euler's Proof of Pi's Irrationality Meet Modern Rigor Standards?

    Well, yes, although Lambert's proof is much more involved. Are there any additional justifications to Euler's manipulation of Lagrage's fraction that are needed?
  2. C

    Does Euler's Proof of Pi's Irrationality Meet Modern Rigor Standards?

    I was wondering about Lambert's proof of π's irrationality. Supposedly he was the first one to prove it in 1761 when he derived a continued fraction for the tangent function. Then I was reading through some of Euler's translated papers when I stumbled upon the same continued fraction in Euler's...
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