Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pappus's_theorem
|
| gptkbp:appliesTo |
gptkb:projective_plane
hexagons collinearity |
| gptkbp:category |
gptkb:geometry
gptkb:mathematics |
| gptkbp:date |
circa 4th century AD
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:involves |
lines
points intersections collinear points |
| gptkbp:namedAfter |
gptkb:Pappus_of_Alexandria
|
| gptkbp:publishedIn |
gptkb:Collection_(Mathematics)
|
| gptkbp:relatedTo |
gptkb:Pascal's_theorem
gptkb:Desargues's_theorem |
| gptkbp:sentence |
Given two lines and three points on each, the intersection points of pairs of lines joining opposite points are collinear.
|
| gptkbp:bfsParent |
gptkb:Pappus_of_Alexandria
gptkb:Pappus's_Collection |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pappus's Hexagon Theorem
|