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- Paschs_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.]".
- Paschs_theorem wikiPageExternalLink PaschsTheorem.html.
- Paschs_theorem wikiPageID "1171759".
- Paschs_theorem wikiPageLength "1292".
- Paschs_theorem wikiPageOutDegree "10".
- Paschs_theorem wikiPageRevisionID "663009929".
- Paschs_theorem wikiPageWikiLink Category:Euclidean_plane_geometry.
- Paschs_theorem wikiPageWikiLink Category:Foundations_of_geometry.
- Paschs_theorem wikiPageWikiLink Category:Order_theory.
- Paschs_theorem wikiPageWikiLink Category:Theorems_in_geometry.
- Paschs_theorem wikiPageWikiLink Euclidean_geometry.
- Paschs_theorem wikiPageWikiLink Euclids_postulates.
- Paschs_theorem wikiPageWikiLink Geometry.
- Paschs_theorem wikiPageWikiLink Moritz_Pasch.
- Paschs_theorem wikiPageWikiLink Ordered_geometry.
- Paschs_theorem wikiPageWikiLink Paschs_axiom.
- Paschs_theorem wikiPageWikiLinkText "Pasch's theorem".
- Paschs_theorem hasPhotoCollection Paschs_theorem.
- Paschs_theorem wikiPageUsesTemplate Template:Cite_book.
- Paschs_theorem wikiPageUsesTemplate Template:Elementary-geometry-stub.
- Paschs_theorem wikiPageUsesTemplate Template:Reflist.
- Paschs_theorem subject Category:Euclidean_plane_geometry.
- Paschs_theorem subject Category:Foundations_of_geometry.
- Paschs_theorem subject Category:Order_theory.
- Paschs_theorem subject Category:Theorems_in_geometry.
- Paschs_theorem hypernym Result.
- Paschs_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.]".
- Paschs_theorem label "Pasch's theorem".
- Paschs_theorem sameAs Teorema_de_Pasch.
- Paschs_theorem sameAs Teorema_de_Pasch.
- Paschs_theorem sameAs Pasch-tétel.
- Paschs_theorem sameAs Teorema_di_Pasch.
- Paschs_theorem sameAs Teorema_de_Pasch.
- Paschs_theorem sameAs m.04d8mf.
- Paschs_theorem sameAs Q951327.
- Paschs_theorem sameAs Q951327.
- Paschs_theorem wasDerivedFrom Paschs_theoremoldid=663009929.
- Paschs_theorem isPrimaryTopicOf Paschs_theorem.