KnowraProjective dualityLinked fromLinked fromThe 10 pages that link to Projective duality, each with the reason it gives.All 10Related 9Compared with 1Homogeneous coordinatesRelated: Homogeneous point triples and line coefficients share the same algebraic form.Ceva's theoremRelated: It connects concurrency statements such as Ceva's theorem to dual collinearity theorems.Projective spaceRelated: The vector-space definition makes points and hyperplanes dual subspace concepts.Pascal's theoremRelated: Duality transforms Pascal's collinearity result into Brianchon's concurrency result.Complete quadrilateralRelated: Duality exchanges the four defining lines with four points and preserves the configuration’s structure.Brianchon's theoremRelated: It turns Pascal's collinearity for an inscribed hexagon into Brianchon's concurrence for a circumscribed one.Sylvester–Gallai theoremRelated: It translates the point-set statement into a claim about ordinary intersections of line arrangements.Desargues's theoremRelated: It turns the theorem's point-concurrency and line-collinearity claims into dual statements.Thomsen's theoremRelated: Dual formulations explain why versions of the theorem use quadrangles or quadrilaterals.