Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Conic_section> ?p ?o }
- Conic_section abstract "In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it was sometimes called a fourth type of conic section. The conic sections have been studied by the ancient Greek mathematicians with this work culminating around 200 BC, when Apollonius of Perga undertook a systematic study of their properties.There are many distinguishing properties that the conic sections of the Euclidean plane have and many of these can, and have been, used as the basis for a definition of the conic sections. A geometric property that has been used defines a non-circular conic to be the set of those points whose distances to some particular point, called a focus, and some particular line, called a directrix, are in a fixed ratio, called the eccentricity. The type of conic is determined by the value of the eccentricity. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2, that is, as the set of points whose coordinates satisfy a quadratic equation in two variables. This equation may be written in matrix form and some geometric properties can be studied as algebraic conditions. In the Euclidean plane, the conic sections appear to be quite different from one another yet they share many similar properties. By extending the geometry to a projective plane (adding a line at infinity) this appearance disappears and the commonality becomes apparent. Further extension, by expanding the real coordinates to admit complex coordinates provides the means to see this unification algebraically.".
- Conic_section thumbnail Conic_sections_with_plane.svg?width=300.
- Conic_section wikiPageExternalLink conics04b.html.
- Conic_section wikiPageExternalLink jbconics.htm.
- Conic_section wikiPageExternalLink JavaGSPLinks.htm.
- Conic_section wikiPageExternalLink eightpointconic.html.
- Conic_section wikiPageExternalLink cof.html.
- Conic_section wikiPageExternalLink www.cut-the-knot.org.
- Conic_section wikiPageExternalLink conics.shtml.
- Conic_section wikiPageExternalLink can-you-really-derive-conic-formulae-from-a-cone-introduction.
- Conic_section wikiPageExternalLink more.html.
- Conic_section wikiPageExternalLink conicSections.html.
- Conic_section wikiPageExternalLink specialPlaneCurves.html.
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- Conic_section wikiPageRevisionID "707631931".
- Conic_section wikiPageWikiLink Abū_Sahl_al-Qūhī.
- Conic_section wikiPageWikiLink Addison-Wesley.
- Conic_section wikiPageWikiLink Algebraic_curve.
- Conic_section wikiPageWikiLink Algebraically_closed_field.
- Conic_section wikiPageWikiLink Analytic_geometry.
- Conic_section wikiPageWikiLink Apollonian_circles.
- Conic_section wikiPageWikiLink Apollonius_of_Perga.
- Conic_section wikiPageWikiLink Archimedes.
- Conic_section wikiPageWikiLink Astronomy.
- Conic_section wikiPageWikiLink Bijection.
- Conic_section wikiPageWikiLink Binomial_distribution.
- Conic_section wikiPageWikiLink Blaise_Pascal.
- Conic_section wikiPageWikiLink Cartesian_coordinate_system.
- Conic_section wikiPageWikiLink Category:Algebraic_curves.
- Conic_section wikiPageWikiLink Category:Analytic_geometry.
- Conic_section wikiPageWikiLink Category:Birational_geometry.
- Conic_section wikiPageWikiLink Category:Conic_sections.
- Conic_section wikiPageWikiLink Category:Euclidean_solid_geometry.
- Conic_section wikiPageWikiLink Center_of_mass.
- Conic_section wikiPageWikiLink Characteristic_(algebra).
- Conic_section wikiPageWikiLink Chord_(geometry).
- Conic_section wikiPageWikiLink Circle.
- Conic_section wikiPageWikiLink Circular_points_at_infinity.
- Conic_section wikiPageWikiLink Circumconic_and_inconic.
- Conic_section wikiPageWikiLink Claris_Home_Page.
- Conic_section wikiPageWikiLink Collinearity.
- Conic_section wikiPageWikiLink Complex_conjugate_line.
- Conic_section wikiPageWikiLink Complex_number.
- Conic_section wikiPageWikiLink Complex_projective_plane.
- Conic_section wikiPageWikiLink Cone.
- Conic_section wikiPageWikiLink Conic_Sections_Rebellion.
- Conic_section wikiPageWikiLink Cumulant.
- Conic_section wikiPageWikiLink Curve.
- Conic_section wikiPageWikiLink Cylinder_(geometry).
- Conic_section wikiPageWikiLink Dandelin_spheres.
- Conic_section wikiPageWikiLink Degenerate_conic.
- Conic_section wikiPageWikiLink Determinant.
- Conic_section wikiPageWikiLink Diagonal_form.
- Conic_section wikiPageWikiLink Director_circle.
- Conic_section wikiPageWikiLink Discriminant.
- Conic_section wikiPageWikiLink Doubling_the_cube.
- Conic_section wikiPageWikiLink Duality_(projective_geometry).
- Conic_section wikiPageWikiLink Dynamics_(mechanics).
- Conic_section wikiPageWikiLink Eccentricity_(mathematics).
- Conic_section wikiPageWikiLink Ellipse.
- Conic_section wikiPageWikiLink Elliptic_coordinate_system.
- Conic_section wikiPageWikiLink Elliptic_geometry.
- Conic_section wikiPageWikiLink Empty_set.
- Conic_section wikiPageWikiLink Equidistant_set.
- Conic_section wikiPageWikiLink Euclid.
- Conic_section wikiPageWikiLink Euclidean_geometry.
- Conic_section wikiPageWikiLink File:Conic_Sections.svg.
- Conic_section wikiPageWikiLink Five_points_determine_a_conic.
- Conic_section wikiPageWikiLink Focus_(geometry).
- Conic_section wikiPageWikiLink Fossil.
- Conic_section wikiPageWikiLink Gary_S._Stoudt.
- Conic_section wikiPageWikiLink Gaussian_curvature.
- Conic_section wikiPageWikiLink General_position.
- Conic_section wikiPageWikiLink Generalized_conic.
- Conic_section wikiPageWikiLink Girard_Desargues.
- Conic_section wikiPageWikiLink Graph_of_a_function.
- Conic_section wikiPageWikiLink Gravity.
- Conic_section wikiPageWikiLink Heat_equation.
- Conic_section wikiPageWikiLink Homogeneous_coordinates.
- Conic_section wikiPageWikiLink Homography.
- Conic_section wikiPageWikiLink Hyperbola.
- Conic_section wikiPageWikiLink Hyperbolic_geometry.
- Conic_section wikiPageWikiLink Incidence_(geometry).
- Conic_section wikiPageWikiLink Index_of_dispersion.
- Conic_section wikiPageWikiLink Indiana_University_of_Pennsylvania.
- Conic_section wikiPageWikiLink Jacob_Steiner.
- Conic_section wikiPageWikiLink Johannes_Kepler.
- Conic_section wikiPageWikiLink John_Wallis.
- Conic_section wikiPageWikiLink Joseph_Diaz_Gergonne.
- Conic_section wikiPageWikiLink Karl_Georg_Christian_von_Staudt.
- Conic_section wikiPageWikiLink Kinematics.
- Conic_section wikiPageWikiLink Laminar_flow.
- Conic_section wikiPageWikiLink Line_(geometry).
- Conic_section wikiPageWikiLink Line_at_infinity.
- Conic_section wikiPageWikiLink Line–line_intersection.
- Conic_section wikiPageWikiLink Locus_(mathematics).
- Conic_section wikiPageWikiLink Mathematical_Association_of_America.