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- Varignons_theorem abstract "Varignon's theorem is a statement in Euclidean geometry by Pierre Varignon that was first published in 1731. It deals with the construction of a particular parallelogram (Varignon parallelogram) from an arbitrary quadrilateral (quadrangle). The midpoints of the sides of an arbitrary quadrangle form a parallelogram. If the quadrangle is convex or reentrant, i.e. not a crossing quadrangle, then the area of the parallelogram is half the area of the quadrangle.If one introduces the concept of oriented areas for n-gons, then the area equality above holds for crossed quadrilaterals as well.The Varignon parallelogram exists even for a skew quadrilateral, and is planar whether or not the quadrilateral is planar. It can be generalized to the midpoint polygon of an arbitrary polygon.".
- Varignons_theorem thumbnail Varignon_parallelogram_convex.svg?width=300.
- Varignons_theorem wikiPageExternalLink JavaGSPLinks.htm.
- Varignons_theorem wikiPageExternalLink octagoncentroids.html.
- Varignons_theorem wikiPageExternalLink geom_quad_varignon.html.
- Varignons_theorem wikiPageID "17006564".
- Varignons_theorem wikiPageLength "5144".
- Varignons_theorem wikiPageOutDegree "24".
- Varignons_theorem wikiPageRevisionID "669933890".
- Varignons_theorem wikiPageWikiLink Barycentric_coordinate_system.
- Varignons_theorem wikiPageWikiLink Barycentric_coordinates_(mathematics).
- Varignons_theorem wikiPageWikiLink Category:Articles_containing_proofs.
- Varignons_theorem wikiPageWikiLink Category:Euclidean_geometry.
- Varignons_theorem wikiPageWikiLink Category:Quadrilaterals.
- Varignons_theorem wikiPageWikiLink Category:Theorems_in_geometry.
- Varignons_theorem wikiPageWikiLink Centroid.
- Varignons_theorem wikiPageWikiLink Equidiagonal_quadrilateral.
- Varignons_theorem wikiPageWikiLink Euclidean_geometry.
- Varignons_theorem wikiPageWikiLink Midline_Theorem.
- Varignons_theorem wikiPageWikiLink Midpoint_polygon.
- Varignons_theorem wikiPageWikiLink Orthodiagonal_quadrilateral.
- Varignons_theorem wikiPageWikiLink Parallelogram.
- Varignons_theorem wikiPageWikiLink Perpendicular.
- Varignons_theorem wikiPageWikiLink Perpendicular_bisector_construction_of_a_quadrilateral.
- Varignons_theorem wikiPageWikiLink Pierre_Varignon.
- Varignons_theorem wikiPageWikiLink Polygon.
- Varignons_theorem wikiPageWikiLink Quadrilateral.
- Varignons_theorem wikiPageWikiLink Rectangle.
- Varignons_theorem wikiPageWikiLink Rhombus.
- Varignons_theorem wikiPageWikiLink File:Varignon_parallelogram_convex.svg.
- Varignons_theorem wikiPageWikiLink File:Varignon_parallelogram_crossed.svg.
- Varignons_theorem wikiPageWikiLink File:Varignon_parallelogram_nonconvex.svg.
- Varignons_theorem wikiPageWikiLinkText "Varignon parallelogram".
- Varignons_theorem wikiPageWikiLinkText "Varignon's theorem".
- Varignons_theorem wikiPageWikiLinkText "geometrical theorem".
- Varignons_theorem hasPhotoCollection Varignons_theorem.
- Varignons_theorem title "Varignon's theorem".
- Varignons_theorem urlname "VarignonsTheorem".
- Varignons_theorem wikiPageUsesTemplate Template:Citation_needed.
- Varignons_theorem wikiPageUsesTemplate Template:Commons_category.
- Varignons_theorem wikiPageUsesTemplate Template:For.
- Varignons_theorem wikiPageUsesTemplate Template:MathWorld.
- Varignons_theorem wikiPageUsesTemplate Template:Rp.
- Varignons_theorem subject Category:Articles_containing_proofs.
- Varignons_theorem subject Category:Euclidean_geometry.
- Varignons_theorem subject Category:Quadrilaterals.
- Varignons_theorem subject Category:Theorems_in_geometry.
- Varignons_theorem hypernym Statement.
- Varignons_theorem comment "Varignon's theorem is a statement in Euclidean geometry by Pierre Varignon that was first published in 1731. It deals with the construction of a particular parallelogram (Varignon parallelogram) from an arbitrary quadrilateral (quadrangle). The midpoints of the sides of an arbitrary quadrangle form a parallelogram. If the quadrangle is convex or reentrant, i.e.".
- Varignons_theorem label "Varignon's theorem".
- Varignons_theorem sameAs Teorema_de_Varignon.
- Varignons_theorem sameAs Satz_von_Varignon.
- Varignons_theorem sameAs Teorema_de_Varignon.
- Varignons_theorem sameAs Varignonin_lause_(geometria).
- Varignons_theorem sameAs Théorème_de_Varignon.
- Varignons_theorem sameAs Վարինյոնի_թեորեմ_(երկրաչափություն).
- Varignons_theorem sameAs Parallellogram_van_Varignon.
- Varignons_theorem sameAs Varignons_teorem.
- Varignons_theorem sameAs Teorema_de_Varignon_(geometria).
- Varignons_theorem sameAs m.0415d9y.
- Varignons_theorem sameAs Теорема_Вариньона_(геометрия).
- Varignons_theorem sameAs Теорема_Варіньона_(геометрія).
- Varignons_theorem sameAs Q1896455.
- Varignons_theorem sameAs Q1896455.
- Varignons_theorem wasDerivedFrom Varignons_theoremoldid=669933890.
- Varignons_theorem depiction Varignon_parallelogram_convex.svg.
- Varignons_theorem isPrimaryTopicOf Varignons_theorem.