Parallel (geometry)
Parallelism is a term in geometry that refers to a property in Euclidean space of two or more lines or planes, or a combination of these. The assumed existence and properties of parallel lines are the basis of Euclid's parallel postulate. Two lines in a plane that do not intersect or touch at a point are called parallel lines. Likewise, a line and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to be parallel.
In a non-Euclidean space, parallel lines are those that intersect only in the limit at infinity.
Read more about Parallel (geometry): Symbol, Euclidean Parallelism, Extension To Non-Euclidean Geometry, Logical Relation, See Also, Notes and References
Famous quotes containing the word parallel:
“If from the earth we came, it was an earth
That bore us as a part of all the things
It breeds and that was lewder than it is.
Our nature is her nature. Hence it comes,
Since by our nature we grow old, earth grows
The same. We parallel the mother’s death.”
—Wallace Stevens (1879–1955)