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Statements

Subject Item
dbr:List_of_things_named_after_Leonhard_Euler
dbo:wikiPageWikiLink
dbr:Gram–Euler_theorem
Subject Item
dbr:Gram-Euler_Theorem
dbo:wikiPageWikiLink
dbr:Gram–Euler_theorem
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dbr:Gram–Euler_theorem
Subject Item
dbr:Gram-Euler_theorem
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dbr:Gram–Euler_theorem
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dbr:Gram–Euler_theorem
Subject Item
dbr:Gram–Euler_theorem
rdfs:label
Gram–Euler theorem
rdfs:comment
In geometry, the Gram–Euler theorem, Gram-Sommerville, Brianchon-Gram or Gram relation (named after Jørgen Pedersen Gram, Leonhard Euler, Duncan Sommerville and Charles Julien Brianchon) is a generalization of the internal angle sum formula of polygons to higher-dimensional polytopes. The equation constrains the sums of the interior angles of a polytope in a manner analogous to the Euler relation on the number of d-dimensional faces.
dcterms:subject
dbc:Polytopes dbc:Real_algebraic_geometry dbc:Geometry
dbo:wikiPageID
63276409
dbo:wikiPageRevisionID
1044548608
dbo:wikiPageWikiLink
dbr:Convex_set dbr:Face_(geometry) dbr:Polytope dbr:Internal_and_external_angles dbr:Sphere dbr:Branko_Grünbaum dbr:Charles_Julien_Brianchon dbr:Polyhedron dbr:Dihedral_angle dbr:Non-Euclidean_geometry dbr:Duncan_Sommerville dbc:Polytopes dbr:Polygon dbr:Leonhard_Euler dbr:Spherical_geometry dbr:Simplicial_polytope dbr:Gauss-Bonnet_theorem dbr:Dehn-Sommerville_equations dbr:Angular_defect dbr:Jørgen_Pedersen_Gram dbr:Euler_characteristic dbr:Dehn–Sommerville_equations dbr:Geometry dbr:Spherical_excess dbr:Hyperbolic_geometry dbc:Geometry dbc:Real_algebraic_geometry dbr:Spherical_lune dbr:Solid_angle
owl:sameAs
n7:DUYH7 wikidata:Q97359198 dbpedia-ro:Teorema_Gram–Euler
dbo:abstract
In geometry, the Gram–Euler theorem, Gram-Sommerville, Brianchon-Gram or Gram relation (named after Jørgen Pedersen Gram, Leonhard Euler, Duncan Sommerville and Charles Julien Brianchon) is a generalization of the internal angle sum formula of polygons to higher-dimensional polytopes. The equation constrains the sums of the interior angles of a polytope in a manner analogous to the Euler relation on the number of d-dimensional faces.
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wikipedia-en:Gram–Euler_theorem?oldid=1044548608&ns=0
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4668
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wikipedia-en:Gram–Euler_theorem
Subject Item
dbr:Polytope
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dbr:Gram–Euler_theorem
Subject Item
wikipedia-en:Gram–Euler_theorem
foaf:primaryTopic
dbr:Gram–Euler_theorem