Breaking Down the Arc Length Formula
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The Brachistocrone problem, which seeks the curve of quickest descent for a particle under gravity, was famously posed by Johann Bernoulli in 1696. The solution, a cycloid, was found by several mathematicians, including Newton, who solved it in a single night, and the Bernoulli brothers. Galileo had previously studied a related problem but incorrectly concluded the optimal curve was an arc of a circle. | Mathematics Learning
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