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Earn +20 ptsQ: Is doubling the cube impossible only using a compass and straightedge?
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Constructing a cube with double the volume of another cube using only a straightedge and compass was proven possible by advanced algebra.?
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.
Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra?
false
Is doubling a cube possible with a straightedge and compass?
Doubling a cube, also known as the problem of the Delian cube, is not possible using only a straightedge and compass. This task involves constructing a cube with a volume twice that of a given cube, which requires finding the length of the edge of the new cube to be the cube root of 2. However, this length cannot be constructed using those tools, as it is not a constructible number. This was proven in the 19th century through the field of algebraic geometry.
One can find an angle bisector using a compass and a straightedge construction or a straightedge and tracing paper construction?
True -
Is it possible to trisect any angle using a compass and straightedge?
True
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