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- Nine-point_conic abstract "In geometry, the nine-point conic of a complete quadrilateral is a conic that passes through the three diagonal points and the six midpoints of sides of the complete quadrilateral.The nine-point conic was described by Maxime Bôcher in 1892. The celebrated nine-point circle is an instance of Bôcher's conic. The nine-point hyperbola is another instance.Bôcher used the four points of the complete quadrilateral as three vertices of a triangle with one independent point: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.In 1912 Maud Minthorn showed that the nine-point conic is the locus of the center of a conic through four given points.".
- Nine-point_conic thumbnail Nine_point_conic.svg?width=300.
- Nine-point_conic wikiPageExternalLink pt?id=uc1.b3808276;view=1up;seq=1.
- Nine-point_conic wikiPageExternalLink JavaGSPLinks.htm.
- Nine-point_conic wikiPageExternalLink ninepointconic.html.
- Nine-point_conic wikiPageExternalLink Nine-PointConic.html.
- Nine-point_conic wikiPageExternalLink Article119.pdf.
- Nine-point_conic wikiPageExternalLink 1967142.
- Nine-point_conic wikiPageExternalLink page_scan_tab_contents.
- Nine-point_conic wikiPageExternalLink page_scan_tab_contents.
- Nine-point_conic wikiPageExternalLink 00207390500138025.
- Nine-point_conic wikiPageID "44779201".
- Nine-point_conic wikiPageLength "3306".
- Nine-point_conic wikiPageOutDegree "27".
- Nine-point_conic wikiPageRevisionID "682401205".
- Nine-point_conic wikiPageWikiLink Altitude_(triangle).
- Nine-point_conic wikiPageWikiLink Annals_of_Mathematics.
- Nine-point_conic wikiPageWikiLink Category:Euclidean_plane_geometry.
- Nine-point_conic wikiPageWikiLink Category:Projective_geometry.
- Nine-point_conic wikiPageWikiLink Category:Theorems_in_geometry.
- Nine-point_conic wikiPageWikiLink Category:Theorems_in_plane_geometry.
- Nine-point_conic wikiPageWikiLink Circumscribed_circle.
- Nine-point_conic wikiPageWikiLink Complete_quadrangle.
- Nine-point_conic wikiPageWikiLink Conic_section.
- Nine-point_conic wikiPageWikiLink Edinburgh_Mathematical_Society.
- Nine-point_conic wikiPageWikiLink Ellipse.
- Nine-point_conic wikiPageWikiLink Geometry.
- Nine-point_conic wikiPageWikiLink HathiTrust.
- Nine-point_conic wikiPageWikiLink Hyperbola.
- Nine-point_conic wikiPageWikiLink JSTOR.
- Nine-point_conic wikiPageWikiLink MathWorld.
- Nine-point_conic wikiPageWikiLink Maxime_Bôcher.
- Nine-point_conic wikiPageWikiLink Midpoint.
- Nine-point_conic wikiPageWikiLink Nine-point_circle.
- Nine-point_conic wikiPageWikiLink Nine-point_hyperbola.
- Nine-point_conic wikiPageWikiLink Taylor_&_Francis.
- Nine-point_conic wikiPageWikiLink University_of_Bath.
- Nine-point_conic wikiPageWikiLink University_of_California,_Berkeley.
- Nine-point_conic wikiPageWikiLink File:Nine_point_conic.svg.
- Nine-point_conic wikiPageWikiLinkText "Nine-point conic".
- Nine-point_conic wikiPageWikiLinkText "nine-point conic".
- Nine-point_conic subject Category:Euclidean_plane_geometry.
- Nine-point_conic subject Category:Projective_geometry.
- Nine-point_conic subject Category:Theorems_in_geometry.
- Nine-point_conic subject Category:Theorems_in_plane_geometry.
- Nine-point_conic comment "In geometry, the nine-point conic of a complete quadrilateral is a conic that passes through the three diagonal points and the six midpoints of sides of the complete quadrilateral.The nine-point conic was described by Maxime Bôcher in 1892. The celebrated nine-point circle is an instance of Bôcher's conic.".
- Nine-point_conic label "Nine-point conic".
- Nine-point_conic sameAs m.012hqc1k.
- Nine-point_conic wasDerivedFrom Nine-point_conic?oldid=682401205.
- Nine-point_conic depiction Nine_point_conic.svg.
- Nine-point_conic isPrimaryTopicOf Nine-point_conic.
