Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pappus_theorem
|
| gptkbp:appliesTo |
projective plane
|
| gptkbp:category |
gptkb:geometry
gptkb:mathematics |
| gptkbp:discoveredIn |
circa 4th century AD
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:hasDiagramType |
gptkb:Pappus_configuration
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pappus's hexagon theorem
|
| gptkbp:implies |
commutativity of projective plane
|
| gptkbp:involves |
hexagon
collinearity intersection point |
| gptkbp:namedAfter |
gptkb:Pappus_of_Alexandria
|
| gptkbp:publishedIn |
gptkb:Pappus's_Collection
|
| gptkbp:relatedTo |
gptkb:Pascal's_theorem
gptkb:Desargues's_theorem |
| gptkbp:sentence |
If six points are chosen alternately on two lines, the intersection points of the pairs of lines joining opposite points are collinear.
|
| gptkbp:bfsParent |
gptkb:Pappus_of_Alexandria
gptkb:Pascal's_theorem |
| gptkbp:bfsLayer |
6
|