Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex polyhedra
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics |
| gptkbp:implies |
convex polyhedra are rigid
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
gptkb:Alexandrov's_uniqueness_theorem
Dehn's rigidity theorem |
| gptkbp:sentence |
If two convex polyhedra have corresponding faces that are congruent and similarly arranged, then the polyhedra are congruent.
|
| gptkbp:yearProposed |
1813
|
| gptkbp:bfsParent |
gptkb:Alexandrov's_theorem
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy's rigidity theorem
|