No matter how you choose to place the red points on the circumference, the three blue points will lie on a straight line. This is Pascal’s theorem
\[source, archimedes-lab.org (https://archimedes-lab.org): buff.ly/39OHJmY (https://buff.ly/39OHJmY)\]
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https://nitter.moomoo.me/Rainmaker1973/status/1645707906187243523#m