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- Pasch's_theorem abstract "In geometry, Pasch's theorem, stated in 1882 by the German mathematician Moritz Pasch, is a result of Euclidean geometry which cannot be derived from Euclid's postulates.The statement is as follows. Given points a, b, c, and d on a line, if it is known that the points are ordered as (a, b, c) and (b, c, d), then it is also true that (a, b, d). [Here, for example, (a, b, c) means that point b lies between points a and c.]".
- Pasch's_theorem wikiPageExternalLink PaschsTheorem.html.
- Pasch's_theorem wikiPageID "1171759".
- Pasch's_theorem wikiPageRevisionID "568990768".
- Pasch's_theorem hasPhotoCollection Pasch's_theorem.
- Pasch's_theorem subject Category:Axiomatics_of_Euclidean_geometry.
- Pasch's_theorem subject Category:Euclidean_plane_geometry.
- Pasch's_theorem subject Category:Order_theory.
- Pasch's_theorem subject Category:Theorems_in_geometry.
- Pasch's_theorem type Abstraction100002137.
- Pasch's_theorem type Communication100033020.
- Pasch's_theorem type Message106598915.
- Pasch's_theorem type Proposition106750804.
- Pasch's_theorem type Statement106722453.
- Pasch's_theorem type Theorem106752293.
- Pasch's_theorem type TheoremsInGeometry.
- Pasch's_theorem comment "In geometry, Pasch's theorem, stated in 1882 by the German mathematician Moritz Pasch, is a result of Euclidean geometry which cannot be derived from Euclid's postulates.The statement is as follows. Given points a, b, c, and d on a line, if it is known that the points are ordered as (a, b, c) and (b, c, d), then it is also true that (a, b, d). [Here, for example, (a, b, c) means that point b lies between points a and c.]".
- Pasch's_theorem label "Pasch's theorem".
- Pasch's_theorem label "Teorema de Pasch".
- Pasch's_theorem label "Teorema de Pasch".
- Pasch's_theorem label "Teorema di Pasch".
- Pasch's_theorem sameAs Teorema_de_Pasch.
- Pasch's_theorem sameAs Teorema_di_Pasch.
- Pasch's_theorem sameAs Teorema_de_Pasch.
- Pasch's_theorem sameAs m.04d8mf.
- Pasch's_theorem sameAs Q951327.
- Pasch's_theorem sameAs Q951327.
- Pasch's_theorem sameAs Pasch's_theorem.
- Pasch's_theorem wasDerivedFrom Pasch's_theorem?oldid=568990768.
- Pasch's_theorem isPrimaryTopicOf Pasch's_theorem.