The set P^2 is the set of all equivalence classes [a, b, c] of ordered triples (a, b, c) element C^3 \(0, 0, 0) under the equivalence relation (a, b, c)~(a', b', c') if (a, b, c) = (λ a', λ b', λ c') for some nonzero complex number λ.

projective plane | real projective plane