Center of Gravity of Cycloid
Theorem
Let $C$ be a cycloid.
The center of gravity of an arc of $C$ is at
research needed
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by expanding it.
When this page/section has been completed, {{Stub}} should be removed from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
Proof
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
When this page/section has been completed, {{ProofWanted}} should be removed from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
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.
