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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