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What is considered the most famous impossible problem from Greek

antiquity?
A. Riemann's negation
B. Doubling the cube
C. Playfair's axiom
D. Bisecting any angle

1 Answer

3 votes

Answer:

B. Doubling the cube.

Explanation:

Riemann's negation was formulated by German mathematician Hermann Riemann in the 19th Century.

Playfair's axiom was an axiom alternative to the Euclid' fifth postulate, which was formulated in the 19th Century.

The method of bisecting any angle was proposed in late Antiquity thanks to the development of Euclidean Geometry.

The question of double the cube was investigated by Egyptians, Indians and Greeks in antiquity without any success. This question cannot be solved by compass and straightedge according to conclusions of French mathematician Pierre Wantzel in 1.837.

Hence, doubling the cube was the most famous impossible problem from Greek antiquity. (Answer: B)

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User Punith
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