Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
pairs of conic sections
|
| gptkbp:category |
porism
|
| gptkbp:describes |
closed polygons inscribed in one conic and circumscribed about another
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:generalizes |
gptkb:Poncelet_closure_theorem
gptkb:Poncelet_grid_theorem |
| gptkbp:hasApplication |
dynamical systems
integrable systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Poncelet's porism
|
| gptkbp:influenced |
modern algebraic geometry
|
| gptkbp:namedAfter |
gptkb:Jean-Victor_Poncelet
|
| gptkbp:publishedIn |
gptkb:Traité_des_propriétés_projectives_des_figures
|
| gptkbp:relatedTo |
elliptic functions
billiard problem conic sections |
| gptkbp:sentence |
If there exists one n-gon that is inscribed in one conic and circumscribed about another, then there are infinitely many such n-gons.
|
| gptkbp:yearProposed |
1813
|
| gptkbp:bfsParent |
gptkb:Jean-Victor_Poncelet
|
| gptkbp:bfsLayer |
5
|