KnowraDesargues's theoremLinked fromLinked fromThe 12 pages that link to Desargues's theorem, each with the reason it gives.All 12Broader topic 1Related 10Compared with 1Projective geometryRelated: It captures a central incidence relation that holds in projective planes.Projective planeRelated: Its validity distinguishes important classes of projective planes.Parallel linesRelated: Its configurations connect parallel lines with projective incidence.Pascal's theoremRelated: It exemplifies the incidence principles used in synthetic projective proofs.Complete quadrilateralRelated: Its projective incidence viewpoint helps explain why the configuration’s theorems persist under projection.Projective dualityRelated: Its point-and-line formulation has a dual theorem obtained by exchanging those roles.Menelaus's theoremRelated: It generalizes a striking pattern of collinearity in triangle configurations.Girard DesarguesBroader topic: This theorem is the best-known result associated with his name.Pappus's hexagon theoremRelated: It offers a related incidence theorem that can help explain Pappian collinearity.Clifford's circle theoremsCompared with: Its incidence conclusion is collinearity, contrasting with Clifford's concyclicity.Monge's theoremRelated: It provides a wider incidence-geometric parallel to the theorem's collinearity conclusion.Thomsen's theoremRelated: It expresses a central incidence principle behind compositions of perspectivities.