It's also worth mentioning for which numbers there need not be a chord.

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I seem to recall that a kind of converse of the universal chord theorem shows that for all numbers not covered by the theorem, there are examples showing that there need not be any such chord. It would be nice if someone knowledgeable on this subject filled in that little piece of the article.50.205.142.50 (talk) 04:02, 26 April 2020 (UTC)Reply