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The shortest path is not always the fastest path

The shortest path is not always the fastest path

The fastest path isn’t always the shortest. ⏱️➰ The Brachistochrone curve proves that the quickest route between two points isn’t a straight line, but a cycloid—the same path traced by a rolling wheel. Gravity pulls a bead down the steep start, it accelerates, and reaches the end faster than the straight track, even though the distance is longer. First posed by Johann Bernoulli in the 17th century, this puzzle is still one of the most beautiful examples of how nature optimizes time, not distance

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