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- Nine-point_hyperbola abstract "In plane geometry with triangle ABC, the nine-point hyperbola is an instance of the nine-point conic described by Maxime Bôcher in 1892. The celebrated nine-point circle is a separate instance of Bôcher's conic:Given a triangle ABC and a point P in its plane, a conic can be drawn through the following nine points: the midpoints of the sides of ABC, the midpoints of the lines joining P to the vertices, and the points where these last named lines cut the sides of the triangle.The conic is an ellipse if P lies in the interior of ABC or in one of the regions of the plane separated from the interior by two sides of the triangle, otherwise the conic is a hyperbola. Bôcher notes that when P is the orthocenter, one obtains the nine-point circle, and when P is on the circumcircle of ABC, then the conic is an equilateral hyperbola.".
- Nine-point_hyperbola wikiPageExternalLink pt?id=uc1.b3808276;view=1up;seq=1.
- Nine-point_hyperbola wikiPageExternalLink Minkowski_Workshop_1.pdf.
- Nine-point_hyperbola wikiPageExternalLink Minkowski_Workshop_2.pdf.
- Nine-point_hyperbola wikiPageExternalLink 1967142.
- Nine-point_hyperbola wikiPageID "18388859".
- Nine-point_hyperbola wikiPageLength "4706".
- Nine-point_hyperbola wikiPageOutDegree "38".
- Nine-point_hyperbola wikiPageRevisionID "680602372".
- Nine-point_hyperbola wikiPageWikiLink Altitude_(triangle).
- Nine-point_hyperbola wikiPageWikiLink Analytic_geometry.
- Nine-point_hyperbola wikiPageWikiLink Annals_of_Mathematics.
- Nine-point_hyperbola wikiPageWikiLink Category:Triangle_geometry.
- Nine-point_hyperbola wikiPageWikiLink Centroid.
- Nine-point_hyperbola wikiPageWikiLink Cevian.
- Nine-point_hyperbola wikiPageWikiLink Circumcircle.
- Nine-point_hyperbola wikiPageWikiLink Circumconic.
- Nine-point_hyperbola wikiPageWikiLink Circumconic_and_inconic.
- Nine-point_hyperbola wikiPageWikiLink Circumscribed_circle.
- Nine-point_hyperbola wikiPageWikiLink Complex_plane.
- Nine-point_hyperbola wikiPageWikiLink De_Longchamps_point.
- Nine-point_hyperbola wikiPageWikiLink Ellipse.
- Nine-point_hyperbola wikiPageWikiLink Encyclopedia_of_Triangle_Centers.
- Nine-point_hyperbola wikiPageWikiLink Euclidean_geometry.
- Nine-point_hyperbola wikiPageWikiLink Excenter.
- Nine-point_hyperbola wikiPageWikiLink Fermat_point.
- Nine-point_hyperbola wikiPageWikiLink Frank_Morley.
- Nine-point_hyperbola wikiPageWikiLink HathiTrust.
- Nine-point_hyperbola wikiPageWikiLink Hyperbola.
- Nine-point_hyperbola wikiPageWikiLink Incenter.
- Nine-point_hyperbola wikiPageWikiLink Incircle_and_excircles_of_a_triangle.
- Nine-point_hyperbola wikiPageWikiLink JSTOR.
- Nine-point_hyperbola wikiPageWikiLink Jstor.
- Nine-point_hyperbola wikiPageWikiLink Kiepert_hyperbola.
- Nine-point_hyperbola wikiPageWikiLink Maxime_Bôcher.
- Nine-point_hyperbola wikiPageWikiLink Median_(geometry).
- Nine-point_hyperbola wikiPageWikiLink Midpoint.
- Nine-point_hyperbola wikiPageWikiLink Minkowski_plane.
- Nine-point_hyperbola wikiPageWikiLink Napoleon_points.
- Nine-point_hyperbola wikiPageWikiLink Nine-point_circle.
- Nine-point_hyperbola wikiPageWikiLink Nine-point_conic.
- Nine-point_hyperbola wikiPageWikiLink Orthocenter.
- Nine-point_hyperbola wikiPageWikiLink Plane_geometry.
- Nine-point_hyperbola wikiPageWikiLink Split-complex_number.
- Nine-point_hyperbola wikiPageWikiLink Triangle.
- Nine-point_hyperbola wikiPageWikiLink Unit_circle.
- Nine-point_hyperbola wikiPageWikiLink Unit_hyperbola.
- Nine-point_hyperbola wikiPageWikiLink University_of_California,_Berkeley.
- Nine-point_hyperbola wikiPageWikiLinkText "Nine-point hyperbola".
- Nine-point_hyperbola wikiPageWikiLinkText "nine-point hyperbola".
- Nine-point_hyperbola hasPhotoCollection Nine-point_hyperbola.
- Nine-point_hyperbola wikiPageUsesTemplate Template:Reflist.
- Nine-point_hyperbola subject Category:Triangle_geometry.
- Nine-point_hyperbola hypernym Instance.
- Nine-point_hyperbola type Article.
- Nine-point_hyperbola type Event.
- Nine-point_hyperbola type Article.
- Nine-point_hyperbola type Page.
- Nine-point_hyperbola comment "In plane geometry with triangle ABC, the nine-point hyperbola is an instance of the nine-point conic described by Maxime Bôcher in 1892.".
- Nine-point_hyperbola label "Nine-point hyperbola".
- Nine-point_hyperbola sameAs m.04f38q7.
- Nine-point_hyperbola sameAs Q7038259.
- Nine-point_hyperbola sameAs Q7038259.
- Nine-point_hyperbola wasDerivedFrom Nine-point_hyperbola?oldid=680602372.
- Nine-point_hyperbola isPrimaryTopicOf Nine-point_hyperbola.