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:
“One writes of scars healed, a loose parallel to the pathology of the skin, but there is no such thing in the life of an individual. There are open wounds, shrunk sometimes to the size of a pin-prick but wounds still. The marks of suffering are more comparable to the loss of a finger, or the sight of an eye. We may not miss them, either, for one minute in a year, but if we should there is nothing to be done about it.”
—F. Scott Fitzgerald (1896–1940)