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Since the problem of quartisection of a disc into four parts of the same area by chords coming from the same point can be solved via Dottie number as shown on this picture:

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I wonder, whether the problems of trisection and quintisection of disc also can be solved using Dottie number.

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  • What is the source for the claim about quartisection? I would start by studying the proof of that claim, to see whether it can be modified to give a result for trisection, quintisection, etc. – Gerry Myerson Jul 19 '23 at 00:46
  • I see there's a proof at https://arxiv.org/pdf/2303.17962.pdf which suggests you could set up similar equations for trisection and see whether anything like Dottie's number drops out of the algebra. – Gerry Myerson Jul 19 '23 at 00:53
  • @GerryMyerson https://math.stackexchange.com/questions/4728910/on-a-problem-similar-to-the-goat-problem/4732728#4732728 – Anixx Jul 19 '23 at 00:55

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