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.
Notes on verification
Well-established mathematical/physics result, confirmed by Wikipedia and multiple independent educational sources; consistent with classical mechanics theory (Huygens' discovery).
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)