Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Circumconic_and_inconic> ?p ?o }
Showing triples 1 to 67 of
67
with 100 triples per page.
- Circumconic_and_inconic abstract "In triangle geometry, a circumconic is a conic section that passes through the three vertices of a triangle, and an inconic is a conic section inscribed in the sides, possibly extended, of a triangle.Suppose A,B,C are distinct non-collinear points, and let ΔABC denote the triangle whose vertices are A,B,C. Following common practice, A denotes not only the vertex but also the angle BAC at vertex A, and similarly for B and C as angles in ΔABC. Let a = |BC|, b = |CA|, c = |AB|, the sidelengths of ΔABC.In trilinear coordinates, the general circumconic is the locus of a variable point X = x : y : z satisfying an equationuyz + vzx + wxy = 0,for some point u : v : w. The isogonal conjugate of each point X on the circumconic, other than A,B,C, is a point on the lineux + vy + wz = 0.This line meets the circumcircle of ΔABC in 0,1, or 2 points according as the circumconic is an ellipse, parabola, or hyperbola.The general inconic is tangent to the three sidelines of ΔABC and is given by the equationu2x2 + v2y2 + w2z2 − 2vwyz − 2wuzx − 2uvxy = 0.↑ ↑".
- Circumconic_and_inconic wikiPageExternalLink Circumconic.html.
- Circumconic_and_inconic wikiPageExternalLink Inconic.html.
- Circumconic_and_inconic wikiPageID "9610491".
- Circumconic_and_inconic wikiPageLength "8087".
- Circumconic_and_inconic wikiPageOutDegree "42".
- Circumconic_and_inconic wikiPageRevisionID "638360233".
- Circumconic_and_inconic wikiPageWikiLink Altitude_(triangle).
- Circumconic_and_inconic wikiPageWikiLink Barycentric_coordinate_system.
- Circumconic_and_inconic wikiPageWikiLink Category:Conic_sections.
- Circumconic_and_inconic wikiPageWikiLink Centroid.
- Circumconic_and_inconic wikiPageWikiLink Circle.
- Circumconic_and_inconic wikiPageWikiLink Circumcenter.
- Circumconic_and_inconic wikiPageWikiLink Circumcircle.
- Circumconic_and_inconic wikiPageWikiLink Circumscribed_circle.
- Circumconic_and_inconic wikiPageWikiLink Conic_section.
- Circumconic_and_inconic wikiPageWikiLink Diagonal.
- Circumconic_and_inconic wikiPageWikiLink Ellipse.
- Circumconic_and_inconic wikiPageWikiLink Excircle.
- Circumconic_and_inconic wikiPageWikiLink Extended_side.
- Circumconic_and_inconic wikiPageWikiLink Feuerbach_hyperbola.
- Circumconic_and_inconic wikiPageWikiLink Geometry.
- Circumconic_and_inconic wikiPageWikiLink Hyperbola.
- Circumconic_and_inconic wikiPageWikiLink Incircle.
- Circumconic_and_inconic wikiPageWikiLink Incircle_and_excircles_of_a_triangle.
- Circumconic_and_inconic wikiPageWikiLink Inscribed_figure.
- Circumconic_and_inconic wikiPageWikiLink Isogonal_conjugate.
- Circumconic_and_inconic wikiPageWikiLink Jeřábek_hyperbola.
- Circumconic_and_inconic wikiPageWikiLink Kiepert_hyperbola.
- Circumconic_and_inconic wikiPageWikiLink Kiepert_parabola.
- Circumconic_and_inconic wikiPageWikiLink Mandart_inellipse.
- Circumconic_and_inconic wikiPageWikiLink Medial_triangle.
- Circumconic_and_inconic wikiPageWikiLink Nagel_point.
- Circumconic_and_inconic wikiPageWikiLink Napoleon_points.
- Circumconic_and_inconic wikiPageWikiLink Nine-point_circle.
- Circumconic_and_inconic wikiPageWikiLink Orthocenter.
- Circumconic_and_inconic wikiPageWikiLink Parabola.
- Circumconic_and_inconic wikiPageWikiLink Quadrilateral.
- Circumconic_and_inconic wikiPageWikiLink Real_number.
- Circumconic_and_inconic wikiPageWikiLink Real_numbers.
- Circumconic_and_inconic wikiPageWikiLink Rectangular_hyperbola.
- Circumconic_and_inconic wikiPageWikiLink Steiner_circumellipse.
- Circumconic_and_inconic wikiPageWikiLink Steiner_ellipse.
- Circumconic_and_inconic wikiPageWikiLink Steiner_inellipse.
- Circumconic_and_inconic wikiPageWikiLink Triangle.
- Circumconic_and_inconic wikiPageWikiLink Trilinear_coordinates.
- Circumconic_and_inconic wikiPageWikiLink Vertex_(geometry).
- Circumconic_and_inconic wikiPageWikiLink Yff_parabola.
- Circumconic_and_inconic wikiPageWikiLinkText "Circumconic and inconic".
- Circumconic_and_inconic wikiPageWikiLinkText "circumconic".
- Circumconic_and_inconic wikiPageWikiLinkText "inconics".
- Circumconic_and_inconic wikiPageWikiLinkText "inellipse".
- Circumconic_and_inconic hasPhotoCollection Circumconic_and_inconic.
- Circumconic_and_inconic wikiPageUsesTemplate Template:Reflist.
- Circumconic_and_inconic wikiPageUsesTemplate Template:Rp.
- Circumconic_and_inconic subject Category:Conic_sections.
- Circumconic_and_inconic hypernym Section.
- Circumconic_and_inconic type Settlement.
- Circumconic_and_inconic comment "In triangle geometry, a circumconic is a conic section that passes through the three vertices of a triangle, and an inconic is a conic section inscribed in the sides, possibly extended, of a triangle.Suppose A,B,C are distinct non-collinear points, and let ΔABC denote the triangle whose vertices are A,B,C. Following common practice, A denotes not only the vertex but also the angle BAC at vertex A, and similarly for B and C as angles in ΔABC.".
- Circumconic_and_inconic label "Circumconic and inconic".
- Circumconic_and_inconic sameAs Circumconica.
- Circumconic_and_inconic sameAs m.02plrtl.
- Circumconic_and_inconic sameAs சுற்றுக்கூம்புவெட்டு.
- Circumconic_and_inconic sameAs Q3797698.
- Circumconic_and_inconic sameAs Q3797698.
- Circumconic_and_inconic wasDerivedFrom Circumconic_and_inconic?oldid=638360233.
- Circumconic_and_inconic isPrimaryTopicOf Circumconic_and_inconic.