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The 27 pages that link to Projective plane, each with the reason it gives.

• Projective geometryBroader topic: It provides the setting where parallel lines meet at points at infinity.

• Euler characteristicRelated: Its Euler characteristic is one, illustrating that nonorientability does not prevent calculation.

• Incidence geometryBroader topic: Projective planes are central models built from incidence axioms.

• Homogeneous coordinatesNarrower topic: Each projective point is represented by a scale-equivalent triple of homogeneous coordinates.

• ManifoldBroader topic: It is a compact two-dimensional manifold that is non-orientable.

• Projective transformationRelated: It is the natural domain for planar projective transformations.

• Projective spaceBroader topic: It is the standard real example, including a line at infinity.

• Pascal's theoremNarrower topic: The theorem's intersections remain defined when opposite sides are parallel.

• IncidenceRelated: Its axioms make point-line incidence especially regular.

• TorusCompared with: Its nonorientability contrasts with the torus’s consistent surface orientation.

• Elliptic geometryRelated: Its incidence structure captures elliptic geometry's lack of parallel lines.

• Complete quadrilateralNarrower topic: The configuration’s incidence relations hold naturally in projective geometry.

• Projective dualityBroader topic: In a projective plane, duality exchanges points and lines directly.

• Euler's polyhedron formulaCompared with: Its Euler characteristic is one, illustrating that other surfaces have different alternating counts.

• Finite geometryBroader topic: Finite projective planes are among the basic structures studied in finite geometry.

• Girard DesarguesRelated: Projective geometry formalized the infinite intersections implicit in perspective constructions.

• Pappus's hexagon theoremNarrower topic: This is the setting that guarantees every pair of opposite sides has an intersection.

• Sylvester–Gallai theoremNarrower topic: Projective transformations provide another way to analyze point-line incidence configurations.

• Wedderburn's little theoremNarrower topic: The theorem restricts algebraic coordinate systems available for finite examples.

• Cayley–Bacharach theoremNarrower topic: The theorem’s clean intersection statement is naturally formulated for projective plane curves.

• Desargues's theoremNarrower topic: The theorem holds in this setting, including intersections at infinity.

• Bruck–Ryser–Chowla theoremNarrower topic: The theorem’s projective-plane condition rules out certain orders through a sum-of-squares equation.

• Cell (topology)Broader topic: Its standard CW structure has one cell in dimensions zero, one, and two.

• Harnack's curve theoremRelated: Projective closure provides the setting in which degree and genus formulas apply uniformly.

• Hasse's theorem on elliptic curvesRelated: An elliptic curve's point count includes its projective point at infinity.

• Thomsen's theoremNarrower topic: The theorem depends on incidence alone, without requiring distances or angles.

• Two-dimensional spaceCompared with: Its points at infinity alter how parallel lines meet compared with an ordinary plane.