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SYNTHETIC PROJECTIVE GEOMETRY
... is a set consisting of exactly one element). Prove that S • with these definitions of k-planes is a geometrical incidence (n + 1)-space, and that S • satisfies (P-2) if and only if S does. Explain why S • does not satisfy (P-1) and hence is not projective. 4. Let (P, L) be an incidence plane, let L ...
... is a set consisting of exactly one element). Prove that S • with these definitions of k-planes is a geometrical incidence (n + 1)-space, and that S • satisfies (P-2) if and only if S does. Explain why S • does not satisfy (P-1) and hence is not projective. 4. Let (P, L) be an incidence plane, let L ...