Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex polyhedra
|
| gptkbp:category |
gptkb:Polyhedral_geometry
Theorems in geometry |
| gptkbp:field |
gptkb:geometry
|
| gptkbp:firstPublished |
1758
|
| gptkbp:form |
V - E + F = 2
|
| gptkbp:generalizes |
gptkb:Euler–Poincaré_formula
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's theorem (geometry)
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:relatedTo |
gptkb:Euler_characteristic
polyhedral combinatorics |
| gptkbp:sentence |
For any convex polyhedron, the number of vertices minus the number of edges plus the number of faces equals 2.
|
| gptkbp:usedIn |
gptkb:topology
graph theory |
| gptkbp:variant |
E (edges)
F (faces) V (vertices) |
| gptkbp:bfsParent |
gptkb:Euler
gptkb:Leonard_Euler |
| gptkbp:bfsLayer |
7
|