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:
“The beginnings of altruism can be seen in children as early as the age of two. How then can we be so concerned that they count by the age of three, read by four, and walk with their hands across the overhead parallel bars by five, and not be concerned that they act with kindness to others?”
—Neil Kurshan (20th century)