Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
projective plane
|
| gptkbp:category |
gptkb:geometry
geometry theorem |
| gptkbp:field |
gptkb:geometry
|
| gptkbp:firstPublished |
1639
|
| gptkbp:holdsIn |
three-dimensional projective space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Desargues's theorem
|
| gptkbp:implies |
concurrency of lines joining corresponding vertices
collinearity of intersection points of corresponding sides |
| gptkbp:namedAfter |
gptkb:Gérard_Desargues
|
| gptkbp:notAlwaysTrueIn |
two-dimensional projective planes not Desarguesian
|
| gptkbp:relatedTo |
gptkb:Pappus's_theorem
|
| gptkbp:sentence |
If two triangles are in perspective axially, then they are in perspective centrally, and vice versa.
|
| gptkbp:bfsParent |
gptkb:Pappus's_Hexagon_Theorem
gptkb:Pappus's_Theorem gptkb:Pappus's_hexagon_theorem |
| gptkbp:bfsLayer |
7
|