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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 wikiPageRevisionID "573307666".
- Petr–Douglas–Neumann_theorem subject Category:Quadrilaterals.
- Petr–Douglas–Neumann_theorem subject Category:Theorems_in_geometry.
- 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 label "佩特諾-伊曼-道格拉斯定理".
- Petr–Douglas–Neumann_theorem sameAs Petr%E2%80%93Douglas%E2%80%93Neumann_theorem.
- Petr–Douglas–Neumann_theorem sameAs Q7179251.
- Petr–Douglas–Neumann_theorem sameAs Q7179251.
- Petr–Douglas–Neumann_theorem wasDerivedFrom Petr–Douglas–Neumann_theorem?oldid=573307666.
- Petr–Douglas–Neumann_theorem depiction PDNTheoremForTriangle.svg.
