Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
ellipses
polygons conic sections |
| gptkbp:category |
theorems in geometry
projective geometry theorems |
| gptkbp:field |
gptkb:geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poncelet's closure theorem
|
| gptkbp:namedAfter |
gptkb:Jean-Victor_Poncelet
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
dynamical systems elliptic functions billiard problem |
| gptkbp:sentence |
If there exists a polygon that is simultaneously inscribed in one conic and circumscribed about another, then there are infinitely many such polygons.
|
| gptkbp:yearProposed |
1813
|
| gptkbp:bfsParent |
gptkb:Jean-Victor_Poncelet
|
| gptkbp:bfsLayer |
5
|