## Reuleaux Triangle -- from Wolfram MathWorld

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Every that is has a index , with the exception of . However, the converse is not true (i.e., not every prime index gives a ).

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The problem of finding the curve down which a bead placed anywhere will fall to the bottom in the same amount of time. The solution is a , a fact first discovered and published by Huygens in (1673). This property was also alluded to in the followi...

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