(adsbygoogle = window.adsbygoogle || []).push({}); Brachistochrone derivation

About the brachistochone---

I have calculated the parametric equation for it....but why is this path a cycloid? It does seem fast...but how did they determine that it was a cycloid...not any other function?--Hmm-why exactly does the path of a point of a circle as it rolls down a straight line become the fastest distance between the two points in the brachistrone problem??

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# Just an easy question-

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