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单词 Parallel
释义

Parallel

Two lines in 2-dimensional Euclidean Space are said to be parallel if they do not intersect. In 3-dimensionalEuclidean Space, parallel lines not only fail to intersect, but also maintain a constant separation between pointsclosest to each other on the two lines. (Lines in 3-space which are not parallel but do not intersect are called SkewLines.)


In a Non-Euclidean Geometry, the concept of parallelism must be modified from its intuitive meaning. This isaccomplished by changing the so-called Parallel Postulate. While this has counterintuitive results, the geometriesso defined are still completely self-consistent.

See also Antiparallel, Hyperparallel, Line, Non-Euclidean Geometry, Parallel Curve,Parallel Postulate Perpendicular, Skew Lines
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更新时间:2025/2/22 2:15:30