The tautochrone curve has the property that a ball placed anywhere on it will take the same amount of time to slide to the bottom, regardless of starting position.
Sources
- List of mathematics history topics (en.wikipedia.org)
- https://www.johndcook.com/blog/2011/10/15/tautochrone/ (johndcook.com)
- https://www.worldwidewords.org/ww-tau1.html (worldwidewords.org)
- https://handwiki.org/wiki/Physics:Tautochrone_curve (handwiki.org)
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