Tautochrone Problem
http://demonstrations.wolfram.com/Tau...
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Let a marble roll down a curved slope. In a tautochrone (curve of equal descent), the marble reaches the bottom in the same amount of time no matter where it starts. In a brachistochrone (curve of fastest descent), the marble reaches the bottom in the f...
Contributed by: Ed Pegg Jr
Based on a program by: Eric W. Weisstein