Intersection

The intersection of two sets A and B is the set of elements common to A and B. This is written A intersection B, and is pronounced "A intersection B" or "A cap B." The intersection of sets A_1 through A_n is written intersection _(i=1)^nA_i.

The intersection of two lines AB and CD is written AB intersection CD. The intersection of two or more geometric objects is the point (points, lines, etc.) at which they concur.

See also

AND, Circle-Circle Intersection, Circle-Line Intersection, Concur, Concurrent, Cone-Sphere Intersection, Conic Section, Cylindric Section, Line-Line Intersection, Plane-Plane Intersection, Proclus' Axiom, Sphere-Sphere Intersection, Spiric Section, Steinmetz Solid, Toric Section, Total Intersection Theorem, Union, Venn Diagram, Viviani's Curve Explore this topic in the MathWorld classroom

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Cite this as:

Weisstein, Eric W. "Intersection." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Intersection.html

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