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- Varignon's_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 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 as big as the area of the quadrangle.If one introduces the concept of oriented areas for n-gons, then the area equality above holds for crossed quadrangles 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.".
- Varignon's_theorem thumbnail Varignon_theorem_convex.png?width=300.
- Varignon's_theorem wikiPageExternalLink JavaGSPLinks.htm.
- Varignon's_theorem wikiPageExternalLink octagoncentroids.html.
- Varignon's_theorem wikiPageExternalLink geom_quad_varignon.html.
- Varignon's_theorem wikiPageID "17006564".
- Varignon's_theorem wikiPageRevisionID "581439050".
- Varignon's_theorem hasPhotoCollection Varignon's_theorem.
- Varignon's_theorem title "Varignon's theorem".
- Varignon's_theorem urlname "VarignonsTheorem".
- Varignon's_theorem subject Category:Articles_containing_proofs.
- Varignon's_theorem subject Category:Euclidean_geometry.
- Varignon's_theorem subject Category:Quadrilaterals.
- Varignon's_theorem subject Category:Theorems_in_geometry.
- Varignon's_theorem type Abstraction100002137.
- Varignon's_theorem type Communication100033020.
- Varignon's_theorem type Message106598915.
- Varignon's_theorem type Proposition106750804.
- Varignon's_theorem type Statement106722453.
- Varignon's_theorem type Theorem106752293.
- Varignon's_theorem type TheoremsInGeometry.
- Varignon's_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 quadrangle. The midpoints of the sides of an arbitrary quadrangle form a parallelogram. If the quadrangle is convex or reentrant, i.e.".
- Varignon's_theorem label "Parallellogram van Varignon".
- Varignon's_theorem label "Satz von Varignon".
- Varignon's_theorem label "Teorema de Varignon (geometria)".
- Varignon's_theorem label "Teorema de Varignon".
- Varignon's_theorem label "Théorème de Varignon".
- Varignon's_theorem label "Varignon's theorem".
- Varignon's_theorem label "Теорема Вариньона (геометрия)".
- Varignon's_theorem sameAs Satz_von_Varignon.
- Varignon's_theorem sameAs Teorema_de_Varignon.
- Varignon's_theorem sameAs Théorème_de_Varignon.
- Varignon's_theorem sameAs Parallellogram_van_Varignon.
- Varignon's_theorem sameAs Teorema_de_Varignon_(geometria).
- Varignon's_theorem sameAs m.0415d9y.
- Varignon's_theorem sameAs Q1896455.
- Varignon's_theorem sameAs Q1896455.
- Varignon's_theorem sameAs Varignon's_theorem.
- Varignon's_theorem wasDerivedFrom Varignon's_theorem?oldid=581439050.
- Varignon's_theorem depiction Varignon_theorem_convex.png.
- Varignon's_theorem isPrimaryTopicOf Varignon's_theorem.
