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Brachistochronous fall
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This apparatus demonstrates experimentally that a body takes less time to fall along an arc of a circle than along the segment joining the two points even though the latter is a shorter path.

If two balls are released simultaneously, we can indeed observe that the ball along the cycloid arc clearly takes less time to reach its destination than the ball descending the inclined plane.

 
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Brachistochronous fall (Inv. 966)        
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