Cauchy's rigidity theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo convex polyhedra
gptkbp:field gptkb:geometry
gptkb:mathematics
https://www.w3.org/2000/01/rdf-schema#label Cauchy's rigidity theorem
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