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intersection

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220px|thumb|The intersection (red) of two disks (white and red with black boundaries). thumb|right|The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the [[line segment between the two red points.]] 220px|thumb|The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty set.

~4 min read

Encyclopedic overview

6 sections
Contents
  • In set theory
  • In geometry
  • Notation
  • See also
  • References
  • External links

220px|thumb|The intersection (red) of two disks (white and red with black boundaries). thumb|right|The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the [[line segment between the two red points.]] 220px|thumb|The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty set.

In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements which belong to all of them.

Excerpted from Wikipedia’s “intersection” article, available under the CC BY-SA 4.0 licence.

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