A ball sliding along a 'Lemniscate' curve takes the same time to arrive at a given point as a ball that takes the direct pathpic.twitter.com/a8FtMonFiE
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The spherical cow.
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If I may say, you worded your initial post perfectly, down to enclosing lemniscate within quotation marks
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Also assuming zero friction. isn't it? Or is that a standard assumption which need not be stated.
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How is it assumed that go ball goes all the way back, upwards? Gravity cant do that.
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inertia can
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