Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
projective geometry
circumconic |
| gptkbp:can_be_generalized_to |
higher-dimensional geometries
|
| gptkbp:describes |
properties of conics
a property of cyclic hexagons |
| https://www.w3.org/2000/01/rdf-schema#label |
Pascal's theorem
|
| gptkbp:involves |
hexagons
|
| gptkbp:is_related_to |
the concept of duality in projective geometry
|
| gptkbp:is_used_in |
various proofs in geometry
|
| gptkbp:known_as |
the hexagon theorem
|
| gptkbp:named_after |
gptkb:Blaise_Pascal
|
| gptkbp:state |
if a hexagon is inscribed in a conic, the three pairs of opposite sides meet at three points that are collinear.
|
| gptkbp:was_involved_in |
the more general theorem of Poncelet
|
| gptkbp:bfsParent |
gptkb:Blaise_Pascal
|
| gptkbp:bfsLayer |
5
|