Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pappus's_hexagon_theorem
|
| gptkbp:appliesTo |
gptkb:geometry
|
| gptkbp:category |
theorems in geometry
|
| gptkbp:describes |
collinearity of points constructed from two lines
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:firstDescribed |
4th century AD
|
| gptkbp:generalizes |
collinearity in Euclidean geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pappus's Theorem
|
| gptkbp:importantFor |
fundamental result in projective geometry
|
| gptkbp:namedAfter |
gptkb:Pappus_of_Alexandria
|
| gptkbp:publishedIn |
gptkb:Pappus's_Collection
|
| 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:usedIn |
proofs in projective geometry
|
| gptkbp:bfsParent |
gptkb:Pappus_of_Alexandria
|
| gptkbp:bfsLayer |
6
|