Doubling the cube, also known as the Delian problem, is an ancient: 9 geometric problem. Given the edge of a cube, the problem requires the construction...
16 KB (2,067 words) - 07:40, 7 November 2024
one-hundred percent Doubling the cube (i. e., hypothetical geometric construction of a cube with twice the volume of a given cube) Doubling time, the length of...
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Aligning the two points on the two lines is another neusis construction as in the solution to doubling the cube. The problem of rigid origami, treating the folds...
37 KB (4,080 words) - 06:49, 11 November 2024
and in the problem of finding the edge of a cube whose volume is twice that of a cube with a given edge (doubling the cube). In 1837 Pierre Wantzel proved...
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the square root of n and the (Euclidean) length of the vector (1,1,1,....1,1) in n-dimensional space. Doubling the cube k-cell Robbins constant, the average...
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Backgammon (redirect from Doubling cube)
offered the cube, doubling the value of the game again, while retaining possession of the cube. A variant of the doubling cube "beaver" is the "raccoon"...
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Straightedge and compass construction (category Pages using sidebar with the child parameter)
trisecting an arbitrary angle or of doubling the volume of a cube, based on the impossibility of constructing cube roots of lengths. He also showed that...
36 KB (4,804 words) - 21:08, 14 November 2024
discussed in the Mathematical Collection of Pappus of Alexandria and known for having possibly developed an approximate method for doubling the cube. Although...
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have the Rupert property. A geometric problem of doubling the cube—alternatively known as the Delian problem—requires the construction of a cube with...
38 KB (4,054 words) - 03:37, 5 November 2024
arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any...
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Menaechmus (category Philosophers and tutors of Alexander the Great)
the conic sections and his solution to the problem of doubling the cube. Menaechmus likely discovered the conic sections, that is, the ellipse, the parabola...
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Archytas (category Wikipedia articles incorporating the template Lives of the Eminent Philosophers)
authentic. According to Eutocius, Archytas was the first to solve the problem of doubling the cube (the so-called Delian problem) with an ingenious geometric...
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associated with the geometric curve called the Cissoid of Diocles, which was used by Diocles to solve the problem of doubling the cube. The curve was alluded...
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The Rubik's Cube is a 3D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic...
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Cubic equation (redirect from Chebyshev cube root)
that they did. The problem of doubling the cube involves the simplest and oldest studied cubic equation, and one for which the ancient Egyptians did not believe...
68 KB (10,291 words) - 16:44, 23 October 2024
Backgammon match strategy (section The doubling cube)
money play, the doubling cube is used. At the start of each game, the doubling cube is placed on the bar with the number 64 showing; the cube is then said...
15 KB (2,434 words) - 21:44, 9 October 2024
problems: Doubling the cube The problem of doubling the unit square is solved by the construction of another square on the diagonal of the first one,...
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antiquity cannot be solved as they were stated (doubling the cube and trisecting the angle), and characterizing the regular polygons that are constructible (this...
32 KB (4,194 words) - 23:26, 25 October 2024
only the straightedge and compass constructions favored by the Greek mathematicians: squaring the circle, doubling the cube, and trisecting the angle...
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Duplication, or doubling, multiplication by 2 Duplication matrix, a linear transformation dealing with half-vectorization Doubling the cube, a problem in...
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Philo line (category Pages using the JsonConfig extension)
devices, who lived probably during the 1st or 2nd century BC. Philo used the line to double the cube; because doubling the cube cannot be done by a straightedge...
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Euclid (category Wikipedia articles incorporating a citation from the 1911 Encyclopaedia Britannica with Wikisource reference)
as the mathematician to whom Plato sent those asking how to double the cube. Perhaps on the basis of this mention of a mathematical Euclid roughly a century...
44 KB (4,333 words) - 05:31, 1 October 2024
Euclidean geometry (redirect from Euclidean geometry of the plane)
doubling the cube and squaring the circle. In the case of doubling the cube, the impossibility of the construction originates from the fact that the compass...
58 KB (7,005 words) - 20:53, 7 November 2024
approximate the problem accurately in few steps. Two other classical problems of antiquity, famed for their impossibility, were doubling the cube and trisecting...
45 KB (4,925 words) - 23:56, 15 November 2024
mathematics, Philo tackled the problem of doubling the cube. The doubling of the cube was necessitated by the following problem: given a catapult, construct...
10 KB (1,091 words) - 15:56, 29 June 2024
drawing a square having the same area. Doubling the cube: Given any cube drawing a cube with twice its volume. Trisecting the angle: Given any angle dividing...
11 KB (1,131 words) - 21:52, 4 October 2024
Mario Kart: Double Dash is a 2003 kart racing video game developed and published by Nintendo for the GameCube. It is the fourth main entry in the Mario Kart...
34 KB (3,148 words) - 20:30, 22 November 2024
The greatest mathematician associated with the group, however, may have been Archytas (c. 435-360 BC), who solved the problem of doubling the cube, identified...
35 KB (3,668 words) - 18:04, 3 November 2024
The positive square root of 2 is constructible. However, the cube root of 2 is not constructible; this is related to the impossibility of doubling the...
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Pythagoras, Archimedes and Euclid; and the problems of squaring the circle and doubling the cube. The mathematics is real mathematics, woven into an historical...
3 KB (188 words) - 11:33, 9 February 2024