parallel postulate

名词 n.
中文释义

英文释义

名词 n.
  1. 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.
    — Before we examine the particulars of the parallel postulates of Hyperbolic and Elliptical geometries, we must see their logic.

词形变化

parallel postulates plural

词源

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.
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