# Center of Gravity of Cycloid

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## Theorem

Let $C$ be a cycloid.

The center of gravity of an arc of $C$ is at

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## Proof

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## Historical Note

The question of the location of the Center of Gravity of Cycloid was posed by Blaise Pascal in $1658$.

Some sources suggest that it was solved by Christopher Wren, but this is not easy to corroborate.