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Claude Bile

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Elegance though in my opinion is a subjective, almost aesthetic virtue in mathematics.

Claude.

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Gokul43201

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This was a problem from a mathematical problem solving class in college:

Consider two vertical flagpoles, with heights h_A and h_B, separated by a distance d on level ground.

Locate a point C on the ground such that the total length of an ideal rope from the top of A to C on the ground, back up to the top of B is as short as possible.

The prof led us through three solutions... calculus, algebraic, and geometrical.

The calculus and algebraic solutions took a few boards. Then he said, "Geometric solution: 2 seconds!"

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Gokul43201

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Chronos

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