Difference between revisions of "Three Greek problems of antiquity"
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==Squaring of a Circle== | ==Squaring of a Circle== | ||
Given a circle, construct by means of [[Straight edge]] and [[Compass|compass]] only, a square with area same as that of the circle | Given a circle, construct by means of [[Straight edge]] and [[Compass|compass]] only, a square with area same as that of the circle | ||
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| + | ==See Also== | ||
| + | [[Geometric constructions]] | ||
| + | [[Pi]] | ||
| + | [[Transcendental number]] | ||
| + | [[Irrational number]] | ||
| + | [[Field|Field Theory]] | ||
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| + | {{stub}} | ||
Revision as of 05:53, 26 January 2008
The Three Greek problems of antiquity were some of the most famous unsolved problems in history. They were first posed by the Greeks but were not settled till the advent of Abstract algebra and Analysis in modern times.
All three constructions have been shown to be impossible.
Trisection of the General Angle
Statement: Given an angle, construct by means of Straight edge and compass only, an angle one-third its measure.
Doubling of a Cube
Given a cube, construct by means of Straight edge and compass only, a cube with double the volume.
Squaring of a Circle
Given a circle, construct by means of Straight edge and compass only, a square with area same as that of the circle
See Also
Geometric constructions Pi Transcendental number Irrational number Field Theory
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