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- Braikenridge–Maclaurin_theorem abstract "In geometry, the Braikenridge–Maclaurin theorem, named for 18th century British mathematicians William Braikenridge and Colin Maclaurin (Mills 1984), is the converse to Pascal's theorem. It states that if the three intersection points of the three pairs of lines through opposite sides of a hexagon lie on a line L, then the six vertices of the hexagon lie on a conic C; the conic may be degenerate, as in Pappus's theorem. (Coxeter & Greitzer 1967, p. 76). The Braikenridge–Maclaurin theorem may be applied in the Braikenridge–Maclaurin construction, which is a synthetic construction of the conic defined by five points, by varying the sixth point. Namely, Pascal's theorem states that given six points on a conic (the vertices of a hexagon), the lines defined by opposite sides intersect in three collinear points. This can be reversed to construct the possible locations for a sixth point, given five existing ones.".
- Braikenridge–Maclaurin_theorem thumbnail Braikenridge–Maclaurin_theorem.svg?width=300.
- Braikenridge–Maclaurin_theorem wikiPageID "26275483".
- Braikenridge–Maclaurin_theorem wikiPageLength "1863".
- Braikenridge–Maclaurin_theorem wikiPageOutDegree "11".
- Braikenridge–Maclaurin_theorem wikiPageRevisionID "609224205".
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Category:Conic_sections.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Category:Theorems_in_geometry.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Colin_Maclaurin.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Five_points_determine_a_conic.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Geometry.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Mathematical_Association_of_America.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Pascals_theorem.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink Synthetic_geometry.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink William_Braikenridge.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink File:Braikenridge–Maclaurin_theorem.svg.
- Braikenridge–Maclaurin_theorem wikiPageWikiLink File:Braikenridge–Maclaurin_theorem_2.svg.
- Braikenridge–Maclaurin_theorem wikiPageWikiLinkText "Braikenridge–Maclaurin theorem".
- Braikenridge–Maclaurin_theorem wikiPageUsesTemplate Template:Citation.
- Braikenridge–Maclaurin_theorem wikiPageUsesTemplate Template:Harv.
- Braikenridge–Maclaurin_theorem wikiPageUsesTemplate Template:Visible_anchor.
- Braikenridge–Maclaurin_theorem subject Category:Conic_sections.
- Braikenridge–Maclaurin_theorem subject Category:Theorems_in_geometry.
- Braikenridge–Maclaurin_theorem hypernym Converse.
- Braikenridge–Maclaurin_theorem type Redirect.
- Braikenridge–Maclaurin_theorem type Theorem.
- Braikenridge–Maclaurin_theorem comment "In geometry, the Braikenridge–Maclaurin theorem, named for 18th century British mathematicians William Braikenridge and Colin Maclaurin (Mills 1984), is the converse to Pascal's theorem. It states that if the three intersection points of the three pairs of lines through opposite sides of a hexagon lie on a line L, then the six vertices of the hexagon lie on a conic C; the conic may be degenerate, as in Pappus's theorem. (Coxeter & Greitzer 1967, p. 76).".
- Braikenridge–Maclaurin_theorem label "Braikenridge–Maclaurin theorem".
- Braikenridge–Maclaurin_theorem sameAs Q4955671.
- Braikenridge–Maclaurin_theorem sameAs Teorema_de_Braikenridge-Maclaurin.
- Braikenridge–Maclaurin_theorem sameAs m.0c3y12l.
- Braikenridge–Maclaurin_theorem sameAs Q4955671.
- Braikenridge–Maclaurin_theorem wasDerivedFrom Braikenridge–Maclaurin_theorem?oldid=609224205.
- Braikenridge–Maclaurin_theorem depiction Braikenridge–Maclaurin_theorem.svg.
- Braikenridge–Maclaurin_theorem isPrimaryTopicOf Braikenridge–Maclaurin_theorem.