Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Constructible_number> ?p ?o. }
Showing items 1 to 36 of
36
with 100 items per page.
- Constructible_number abstract "A point in the Euclidean plane is a constructible point if, given a fixed coordinate system (or a fixed line segment of unit length), the point can be constructed with unruled straightedge and compass. A complex number is a constructible number if its corresponding point in the Euclidean plane is constructible from the usual x- and y-coordinate axes.It can then be shown that a real number r is constructible if and only if, given a line segment of unit length, a line segment of length |r | can be constructed with compass and straightedge. It can also be shown that a complex number is constructible if and only if its real and imaginary parts are constructible.The set of constructible numbers can be completely characterized in the language of field theory: the constructible numbers form the quadratic closure of the rational numbers: the smallest field extension of which is closed under square root and complex conjugation. This has the effect of transforming geometric questions about compass and straightedge constructions into algebra. This transformation leads to the solutions of many famous mathematical problems, which defied centuries of attack.".
- Constructible_number thumbnail Academ_existence_of_square_root_of_2.svg?width=300.
- Constructible_number wikiPageExternalLink rational.shtml.
- Constructible_number wikiPageExternalLink Constructive_real_number.
- Constructible_number wikiPageID "7439".
- Constructible_number wikiPageRevisionID "558731296".
- Constructible_number hasPhotoCollection Constructible_number.
- Constructible_number title "Constructible Number".
- Constructible_number urlname "ConstructibleNumber".
- Constructible_number subject Category:Algebraic_numbers.
- Constructible_number subject Category:Euclidean_plane_geometry.
- Constructible_number type Abstraction100002137.
- Constructible_number type AlgebraicNumber113730902.
- Constructible_number type AlgebraicNumbers.
- Constructible_number type ComplexNumber113729428.
- Constructible_number type DefiniteQuantity113576101.
- Constructible_number type IrrationalNumber113730584.
- Constructible_number type Measure100033615.
- Constructible_number type Number113582013.
- Constructible_number type RealNumber113729902.
- Constructible_number comment "A point in the Euclidean plane is a constructible point if, given a fixed coordinate system (or a fixed line segment of unit length), the point can be constructed with unruled straightedge and compass.".
- Constructible_number label "Constructible number".
- Constructible_number label "Nombre constructible".
- Constructible_number label "Número construible".
- Constructible_number label "عدد قابل للإنشاء".
- Constructible_number label "規矩數".
- Constructible_number sameAs Número_construible.
- Constructible_number sameAs Nombre_constructible.
- Constructible_number sameAs 작도_가능한_수.
- Constructible_number sameAs m.02356.
- Constructible_number sameAs Q1321926.
- Constructible_number sameAs Q1321926.
- Constructible_number sameAs Constructible_number.
- Constructible_number wasDerivedFrom Constructible_number?oldid=558731296.
- Constructible_number depiction Academ_existence_of_square_root_of_2.svg.
- Constructible_number isPrimaryTopicOf Constructible_number.