Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
projective plane
|
| gptkbp:category |
incidence theorem
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:formedBy |
17th century
|
| gptkbp:holdsIn |
three-dimensional projective space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Desargues' theorem
|
| gptkbp:importantFor |
foundations of projective geometry
|
| gptkbp:namedAfter |
gptkb:Gérard_Desargues
|
| gptkbp:notAlwaysTrueIn |
some two-dimensional projective planes
|
| gptkbp:publishedIn |
gptkb:Brouillon_Project_d'une_Atteinte_aux_Evenemens_des_Rencontres_du_Cone_avec_un_Plan
|
| 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:usedIn |
proofs in geometry
|
| gptkbp:bfsParent |
gptkb:Projective_geometry
|
| gptkbp:bfsLayer |
5
|