complex projective line

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|analytic geometry|projective geometry}} A [[complex line]] (especially, the [[set]] of [[complex numbers]] regarded as such) endowed with a [[point at infinity]] (thus becoming a [[projective line]]); {{lb|en|more|_|formally}} the set of [[equivalence class]]es of [[ordered pair]]s (''α'', ''β'') of [[complex number]]s, not both zero, with respect to the [[equivalence relation]] "(''α'', ''β'') ≡ (''λα'', ''λβ'') for all nonzero complex ''λ''".

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