Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
conic sections
|
| gptkbp:category |
theorems in geometry
theorems in projective geometry |
| gptkbp:field |
gptkb:geometry
|
| gptkbp:namedAfter |
gptkb:Jean-Victor_Poncelet
|
| gptkbp:relatedConcept |
gptkb:elliptic_curve
billiard problem projective transformation |
| gptkbp:sentence |
If there exists one n-gon that is simultaneously inscribed in one conic and circumscribed about another, then there are infinitely many such n-gons.
|
| gptkbp:yearProposed |
1813
|
| gptkbp:bfsParent |
gptkb:Poncelet's_porism
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poncelet closure theorem
|