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  2. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Many of these problems are easily solvable provided that other geometric transformations are allowed; for example, neusis construction can be used to solve the former two problems. In terms of algebra , a length is constructible if and only if it represents a constructible number , and an angle is constructible if and only if its cosine is a ...

  3. The Ancient Tradition of Geometric Problems - Wikipedia

    en.wikipedia.org/wiki/The_Ancient_Tradition_of...

    The Ancient Tradition of Geometric Problems studies the three classical problems of circle-squaring, cube-doubling, and angle trisection throughout the history of Greek mathematics, [1] [2] also considering several other problems studied by the Greeks in which a geometric object with certain properties is to be constructed, in many cases through transformations to other construction problems. [2]

  4. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    The example shows trisection of any angle θ > ⁠ 3π / 4 ⁠ by a ruler with length equal to the radius of the circle, giving trisected angle φ = ⁠ θ / 3 ⁠. Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics .

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Category:Geometry problems - Wikipedia

    en.wikipedia.org/wiki/Category:Geometry_problems

    Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Geometry problems" The following 6 pages are in this category, out of 6 ...

  7. Moduli space - Wikipedia

    en.wikipedia.org/wiki/Moduli_space

    Moduli spaces are spaces of solutions of geometric classification problems. That is, the points of a moduli space correspond to solutions of geometric problems. Here different solutions are identified if they are isomorphic (that is, geometrically the same). Moduli spaces can be thought of as giving a universal space of parameters for the problem.

  8. Doubling the cube - Wikipedia

    en.wikipedia.org/wiki/Doubling_the_cube

    Doubling the cube, also known as the Delian problem, is an ancient [a] [1]: 9 geometric problem. Given the edge of a cube , the problem requires the construction of the edge of a second cube whose volume is double that of the first.

  9. Category:Unsolved problems in geometry - Wikipedia

    en.wikipedia.org/wiki/Category:Unsolved_problems...

    Download as PDF; Printable version; In other projects Wikidata item; ... Help. Pages in category "Unsolved problems in geometry" The following 48 pages are in this ...

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