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The Brachistochrone Problem is a great story involving not only Leibniz and Newton, but also Jakob and Johann Bernoulli and L'Hopital. It's a screenplay waiting to be written.
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Would be fun to see a bobsled race in a tautochrone :)pic.twitter.com/Eg8foIpSRc
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So the dude invented a convoluted pendulum and I'm supposed to be impressed?
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The Universe invented it.
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A cycloid with a cusp at the origin and its humps oriented upward has the following parametric equation (which describes a point moving along a circle while undergoing a horizontal translation at a constant velocity.pic.twitter.com/eKJhtIA5PY
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Yes, because they all have the same resonant frequency, and thus period, and thus they must all retrace their positions in the same elapsed time, regardless of distance travelled.
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So, they call cycloid the Helen of geometry. http://jwilson.coe.uga.edu/EMAT6680Su06/Bao/assignment/10-Cycloid/Cycloids.html …
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