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- Degenerate_conic abstract "In mathematics, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve. This means that the defining equation is factorable over the complex numbers (or more generally over an algebraically closed field) as the product of two linear polynomials.In the real plane, a degenerate conic can be two lines that may or may not be parallel, a single line (either two coinciding lines or the union of a line and the line at infinity), a single point (in fact, two complex conjugate lines), or the null set (twice the line at infinity or two parallel complex conjugate lines).All these degenerate conics may occur in pencils of conics. That is, if two real non-degenerated conics are defined by quadratic polynomial equations f = 0 and g = 0, the conics of equations af + bg = 0 form a pencil, which contains one or three degenerate conics. For any degenerate conic in the real plane, one may choose f and g so that the given degenerate conic belongs to the pencil they determine.".
- Degenerate_conic wikiPageExternalLink lsoc.html.
- Degenerate_conic wikiPageExternalLink node28.html.
- Degenerate_conic wikiPageExternalLink conic1.gif.
- Degenerate_conic wikiPageID "392586".
- Degenerate_conic wikiPageLength "13390".
- Degenerate_conic wikiPageOutDegree "49".
- Degenerate_conic wikiPageRevisionID "698951158".
- Degenerate_conic wikiPageWikiLink Affine_plane.
- Degenerate_conic wikiPageWikiLink Affine_transformation.
- Degenerate_conic wikiPageWikiLink Algebraic_equation.
- Degenerate_conic wikiPageWikiLink Algebraic_variety.
- Degenerate_conic wikiPageWikiLink Algebraically_closed_field.
- Degenerate_conic wikiPageWikiLink American_Mathematical_Monthly.
- Degenerate_conic wikiPageWikiLink Apex_(geometry).
- Degenerate_conic wikiPageWikiLink Category:Conic_sections.
- Degenerate_conic wikiPageWikiLink Compactification_(mathematics).
- Degenerate_conic wikiPageWikiLink Complex_conjugate_line.
- Degenerate_conic wikiPageWikiLink Complex_number.
- Degenerate_conic wikiPageWikiLink Cone.
- Degenerate_conic wikiPageWikiLink Conic_section.
- Degenerate_conic wikiPageWikiLink Discriminant.
- Degenerate_conic wikiPageWikiLink Elliptic_orbit.
- Degenerate_conic wikiPageWikiLink Five_points_determine_a_conic.
- Degenerate_conic wikiPageWikiLink Focus_(geometry).
- Degenerate_conic wikiPageWikiLink General_position.
- Degenerate_conic wikiPageWikiLink Homography.
- Degenerate_conic wikiPageWikiLink Hyperbola.
- Degenerate_conic wikiPageWikiLink Irreducible_component.
- Degenerate_conic wikiPageWikiLink Line_at_infinity.
- Degenerate_conic wikiPageWikiLink Line_segment.
- Degenerate_conic wikiPageWikiLink Linear_system_of_divisors.
- Degenerate_conic wikiPageWikiLink Mathematical_Association_of_America.
- Degenerate_conic wikiPageWikiLink Mathematics.
- Degenerate_conic wikiPageWikiLink Matrix_representation_of_conic_sections.
- Degenerate_conic wikiPageWikiLink Moduli_of_algebraic_curves.
- Degenerate_conic wikiPageWikiLink Multinomial_theorem.
- Degenerate_conic wikiPageWikiLink Orbit.
- Degenerate_conic wikiPageWikiLink Pappuss_hexagon_theorem.
- Degenerate_conic wikiPageWikiLink Parallel_postulate.
- Degenerate_conic wikiPageWikiLink Parallelogram.
- Degenerate_conic wikiPageWikiLink Pascals_theorem.
- Degenerate_conic wikiPageWikiLink Pencil_(mathematics).
- Degenerate_conic wikiPageWikiLink Plane_(geometry).
- Degenerate_conic wikiPageWikiLink Plane_curve.
- Degenerate_conic wikiPageWikiLink Quartic_function.
- Degenerate_conic wikiPageWikiLink Resolvent_cubic.
- Degenerate_conic wikiPageWikiLink Trapezoid.
- Degenerate_conic wikiPageWikiLinkText "Degenerate conic".
- Degenerate_conic wikiPageWikiLinkText "degenerate case".
- Degenerate_conic wikiPageWikiLinkText "degenerate conic".
- Degenerate_conic wikiPageWikiLinkText "degenerate hyperbola or degenerate ellipse".
- Degenerate_conic wikiPageWikiLinkText "degenerate hyperbola".
- Degenerate_conic wikiPageWikiLinkText "degenerate".
- Degenerate_conic wikiPageWikiLinkText "degenerates".
- Degenerate_conic wikiPageWikiLinkText "further discussion".
- Degenerate_conic wikiPageWikiLinkText "non-degenerate conic".
- Degenerate_conic wikiPageWikiLinkText "reducible quadratic curves".
- Degenerate_conic wikiPageUsesTemplate Template:Citation.
- Degenerate_conic wikiPageUsesTemplate Template:Citeseerx.
- Degenerate_conic wikiPageUsesTemplate Template:External_media.
- Degenerate_conic wikiPageUsesTemplate Template:Harv.
- Degenerate_conic wikiPageUsesTemplate Template:Main.
- Degenerate_conic wikiPageUsesTemplate Template:Math.
- Degenerate_conic wikiPageUsesTemplate Template:Mvar.
- Degenerate_conic wikiPageUsesTemplate Template:Refbegin.
- Degenerate_conic wikiPageUsesTemplate Template:Refend.
- Degenerate_conic wikiPageUsesTemplate Template:Reflist.
- Degenerate_conic subject Category:Conic_sections.
- Degenerate_conic comment "In mathematics, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.".
- Degenerate_conic label "Degenerate conic".
- Degenerate_conic sameAs Q5251775.
- Degenerate_conic sameAs Sección_cónica_degenerada.
- Degenerate_conic sameAs m.0b76f6p.
- Degenerate_conic sameAs Q5251775.
- Degenerate_conic wasDerivedFrom Degenerate_conic?oldid=698951158.
- Degenerate_conic isPrimaryTopicOf Degenerate_conic.
