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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.
Is it possible to construct a cube of twice the volume of a giving cube only using a straightedge and compass?
No, it is not and in 1837 Pierre Wantzel proved this to be the case.
What Greek constructions were never accomplished with only a straightedge and a compass?
Doubling a cube and trisecting any angle
Is it possible to double a cube using a straight edge and compass?
No. This is known to be impossible. For more information, including a proof, check the Wikipedia article on "doubling the cube".
Who wrote the 3 construction problems of antiquity?
The three problems were: * To construct a square with area equal to a given circle ("squaring the circle"). * Given a cube, to construct the edge length of another cube which would have double the volume of the given cube ("duplicating the cube") * Given an arbitrary angle, to construct an angle one third that of the given angle ("angle trisection"). These problems were to be solved using compass and unmarked straight-edge only. It is apparently not known who first proposed these problems. Two of them (squaring the circle and angle trisection) date to at least 100 years before Euclid. The problem of duplicating the cube also predates Euclid, though maybe not by 100 years. In the 19th century, all three problems were shown to be impossible with the restriction to compass and straight-edge. (Despite this, people persist in trying, but they have to be classified as cranks.) Even in ancient times, methods of solution were given, but they used more than just a compass and straight-edge.
The Greeks were able to construct a cube with double the volume of another cube using only a straightedge and compass?
false
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.
Is it possible to construct a cube of twice the volume of given cube using only a straightedge and 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.
Is it possible to construct a cube of twice the volume of the given cube using only a straightedge and 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.
Which of these constructions is impossible using only a compass and straightedge-?
Constructions that are impossible using only a compass and straightedge include Trisecting an angle Squaring a circle Doubling a cube
Constructing a cube with double the volume of another cube using only a straightedge and compass was proven impossible by advanced algebra?
True (APEX) - Nini :-* GOOD LUCK .
Which constructions is impossible using only a compass and straightedge?
doubling the cube
Is it possible to construct a cube of twice the volume of a giving cube only using a straightedge and compass?
No, it is not and in 1837 Pierre Wantzel proved this to be the case.
Is it possible to construct a cube of twice the volume of a given cube using only a straightedge and 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.
Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?
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.
What constructions were never accomplished by the Greeks with only a straightedge and a compass?
doubling a cube and trisecting any angle
What Greek constructions were never accomplished with only a straightedge and a compass?
Doubling a cube and trisecting any angle
