Q: Which constructions is impossible using only a compass and straightedge?

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Yes.

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Squaring the circle was proven to be impossible by the German mathematician Ferdinand Lindemann in 1882.

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Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube

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Squaring the circle, duplicating the cube, and trisecting an angle were constructions that were never accomplished by the Greeks with only a straightedge and compass. These are known as the three classical geometric problems that cannot be solved using only those tools.

No, it is not. In 1837, the French mathematician, Pierre Laurent Wantzel, proved that it was impossible to do so using only compass and straightedge.

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No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.

No, it is not possible to construct a cube of twice teh volume of a given cube using only a straightedge and a compass.

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true honey :)

True APEX :)