Quote:
Originally Posted by OneOfOne
I recall seeing something like this on "Why is it so?". They had a series of clear tubes finishing at a lower point to one side, each with a ball inside, one straight, one cycloid, one parabolic. All three balls were dropped simultaneously, with the one in the cycloid finishing first. Do we have a dilemma?  Loved that show!
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Another interesting property of a cycloid is that if the object is released from any point on the cycloid it will take the same time to reach the bottom.
Regards
Steven