Phrase guide

projective line

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A line that includes a point at infinity; a line in a projective space; a projective space of dimension 1.

Definition source: English Wiktionary via Wiktextract

Qualifier: projective geometry

Examples

  • 2008, Catriona Maclean (translator), Daniel Perrin, Algebraic Geometry: An Introduction, [1995, D. Perrin, Géométrie algébrique] Springer, page 37, Consider the projective line mathbf P1, with homogeneous coordinates x and t and open sets U_0(x ne 0) and U_1(t ne 0).

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

2 source translations are retained for this English entry.

  • Italian: retta proiettiva — line with point at infinity
  • Polish: linia rzutowa — line with point at infinity