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- Petr–Douglas–Neumann_theorem abstract "In geometry, the Petr–Douglas–Neumann theorem (or the PDN-theorem) is a result concerning arbitrary planar polygons. The theorem asserts that a certain procedure when applied to an arbitrary polygon always yields a regular polygon having the same number of sides as the initial polygon. The theorem was first published by Karel Petr (1868–1950) of Prague in 1908. The theorem was independently rediscovered by Jesse Douglas (1897–1965) in 1940 and also by B H Neumann (1909–2002) in 1941. The naming of the theorem as Petr–Douglas–Neumann theorem, or as the PDN-theorem for short, is due to Stephen B Gray. This theorem has also been called Douglas’s theorem, the Douglas–Neumann theorem, the Napoleon–Douglas–Neumann theorem and Petr’s theorem.The PDN-theorem is a generalisation of the Napoleon's theorem which is concerned about arbitrary triangles and of the van Aubel's theorem which is related to arbitrary quadrilaterals.".
- Petr–Douglas–Neumann_theorem thumbnail PDNTheoremForTriangle.svg?width=300.
- Petr–Douglas–Neumann_theorem wikiPageID "35762367".
- Petr–Douglas–Neumann_theorem wikiPageLength "12809".
- Petr–Douglas–Neumann_theorem wikiPageOutDegree "39".
- Petr–Douglas–Neumann_theorem wikiPageRevisionID "707205704".
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Algorithm.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Bernhard_Neumann.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Category:Quadrilaterals.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Category:Theorems_in_geometry.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Diagonal.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDNTheoremForQuadrilateralCase1.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDNTheoremForQuadrilateralCase2.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDNTheoremForTriangle.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDN_Theorem_For_Pentagon.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDN_Theorem_For_Quadrilateral_As_Van_Aubels_Theorem.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDN_Theorem_For_Self_Intersection_Quadrilateral_Case1.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink File:PDN_Theorem_For_Self_Intersection_Quadrilateral_Case2.svg.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Generalization.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Geometry.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Isosceles_triangle.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Jesse_Douglas.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Karel_Petr.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Midpoint.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Napoleons_theorem.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Pentagon.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Perpendicular.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Plane_(geometry).
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Polygon.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Prague.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Quadrilateral.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Regular_polygon.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Square.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Triangle.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Van_Aubels_theorem.
- Petr–Douglas–Neumann_theorem wikiPageWikiLink Vertex_(geometry).
- Petr–Douglas–Neumann_theorem wikiPageWikiLinkText "Petr–Douglas–Neumann theorem".
- Petr–Douglas–Neumann_theorem wikiPageUsesTemplate Template:Reflist.
- Petr–Douglas–Neumann_theorem subject Category:Quadrilaterals.
- Petr–Douglas–Neumann_theorem subject Category:Theorems_in_geometry.
- Petr–Douglas–Neumann_theorem hypernym Result.
- Petr–Douglas–Neumann_theorem type Redirect.
- Petr–Douglas–Neumann_theorem type Theorem.
- Petr–Douglas–Neumann_theorem comment "In geometry, the Petr–Douglas–Neumann theorem (or the PDN-theorem) is a result concerning arbitrary planar polygons. The theorem asserts that a certain procedure when applied to an arbitrary polygon always yields a regular polygon having the same number of sides as the initial polygon. The theorem was first published by Karel Petr (1868–1950) of Prague in 1908. The theorem was independently rediscovered by Jesse Douglas (1897–1965) in 1940 and also by B H Neumann (1909–2002) in 1941.".
- Petr–Douglas–Neumann_theorem label "Petr–Douglas–Neumann theorem".
- Petr–Douglas–Neumann_theorem sameAs Q7179251.
- Petr–Douglas–Neumann_theorem sameAs m.0jt43h6.
- Petr–Douglas–Neumann_theorem sameAs Q7179251.
- Petr–Douglas–Neumann_theorem sameAs 佩特諾-伊曼-道格拉斯定理.
- Petr–Douglas–Neumann_theorem wasDerivedFrom Petr–Douglas–Neumann_theorem?oldid=707205704.
- Petr–Douglas–Neumann_theorem depiction PDNTheoremForTriangle.svg.
- Petr–Douglas–Neumann_theorem isPrimaryTopicOf Petr–Douglas–Neumann_theorem.