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The 32 pages that link to Incidence geometry, each with the reason it gives.

• Projective geometryNarrower topic: Incidence is a basic property preserved by projective transformations.

• Projective planeRelated: Its axioms capture the projective plane’s defining point-line structure.

• Synthetic geometryRelated: Incidence relations provide the minimal structure for many synthetic arguments.

• CollinearityNarrower topic: Collinearity is a basic incidence relation between points and lines.

• Line segmentNarrower topic: It studies which points and lines contain or intersect segments.

• Projective transformationRelated: Projective transformations preserve point-line incidence, their defining geometric constraint.

• Projective spaceNarrower topic: Projective space supplies a central setting for incidence questions.

• Vertex (geometry)Related: It formalizes the relation between vertices and the edges or sides that contain them.

• Complete quadrilateralNarrower topic: The quadrilateral is defined by which lines meet at which points.

• Point (geometry)Related: It defines points through their incidence relations with lines and other objects.

• Projective dualityRelated: Duality preserves incidence while reversing which kinds of objects participate.

• Miquel's theoremRelated: The theorem is fundamentally a concurrence and point-on-circle statement.

• Miquel pointNarrower topic: The configuration begins with intersections among four lines.

• Hilbert's axiomsRelated: Hilbert's incidence axioms specify which points lie on which lines and planes.

• Schläfli symbolRelated: The symbol summarizes selected face-incidence patterns.

• BetweennessNarrower topic: Betweenness adds an order relation to the basic point-and-line setting.

• Szemerédi–Trotter theoremNarrower topic: The theorem is a foundational bound in this broader study of point–line relationships.

• Kakeya conjectureRelated: Combinatorial incidence bounds help control how tubes can overlap.

• Pasch's axiomNarrower topic: The axiom supplements incidence with an order condition about line crossings.

• CoplanarityNarrower topic: Coplanarity is an incidence relation between objects and a plane.

• Crofton formulaRelated: The formula’s raw data are incidences between a curve and lines.

• Playfair's axiomNarrower topic: The axiom adds a constraint on line incidence and parallelism.

• Sylvester–Gallai theoremNarrower topic: The theorem is a basic constraint on point-line incidences.

• Clifford's circle theoremsNarrower topic: Clifford's theorems concern which constructed points lie on the same circles.

• Pitot theoremRelated: The theorem’s setup depends on the incidences between sides, tangent points, and a circle.

• Six circles theoremRelated: Its conclusion is an incidence claim: six points belong to one circle.

• Big-line-big-clique conjectureRelated: Incidence bounds may constrain configurations that avoid both large collinear and large independent subsets.

• Dieudonné's theoremNarrower topic: Collineations preserve the incidence structure that projective spaces encode.

• Erdős–Szemerédi theoremRelated: Incidence bounds can constrain simultaneous additive and multiplicative concentration.

• Pasch's theoremNarrower topic: Pasch's theorem supplements incidence with a constraint on how a line traverses a triangle.

• Steiner conicRelated: The conic arises from the incidence of each pair of corresponding rays.

• Thomsen's theoremRelated: The theorem's statement and proof use only point-line incidence.