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An axiom in Euclidean geometry: given a straight line L and a point p not on L, there exists exactly one straight line parallel to L that passes through p; a variant of this axiom, such that the number of lines parallel to L that pass through p may be zero or more than one.
Definition source: English Wiktionary via Wiktextract
Topics: geometry, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
From the reference to parallel lines in the definition as formulated below, following Scottish mathematician John Playfair; this wording leads to a convenient basic categorization of Euclidean and non-Euclidean geometries. The original formulation in Euclid's Elements makes no mention of parallels.
Across languages
Translations
2 source translations are retained for this English entry.
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Finnish:
paralleeliaksiooma
— axiom of Euclidean geometry
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Polish:
postulat równoległości
— axiom of Euclidean geometry
