Distance between two parallel lines: Difference between revisions

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The '''[[distance]] between two [[Parallel (geometry)|parallel]] [[Line (geometry)|lines]]''' in the [[plane (geometry)|plane]] is the minimum distance between any two points lying on the lines. It equals the [[perpendicular]] distance from any [[Point (geometry)|point]] on one line to the other line.

{{hatnote|This article considers two lines in a plane. For two lines not in the same plane, see {{slink|Skew lines|Distance}}.}}

The '''[[distance]] between two [[Line (geometry)|lines]]''' in the [[plane (geometry)|plane]] is the minimum distance between any two points lying on the lines. In the case of non-parallel coplanar [[Line–line intersection|intersecting lines]], the distance between them is zero, whereas in the case of two [[Parallel (geometry)|parallel]] lines, the distance is the [[perpendicular]] distance from any [[Point (geometry)|point]] on one line to the other line.

For non-parallel and non-coplanar lines ([[skew lines]]), a shortest distance between nearest points can be calculated.

== Formula and proof ==