Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 n. The act, process, or result of intersecting.
 n. A place where things intersect, especially a place where two or more roads cross.
 n. Mathematics The point or locus of points where one line, surface, or solid crosses another.
 n. Mathematics A set that contains elements shared by two or more given sets.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The junction of two (or more) paths, streets, highways, or other thoroughfares.
 n. The point or set of points common to two geometrical objects (such as the point where two lines meet or the line where two planes intersect).
 n. The set containing all the elements that are common to two or more sets.
from the GNU version of the Collaborative International Dictionary of English
 n. The act, state, or place of intersecting.
 n. The point or line in which one line or surface cuts another.
from The Century Dictionary and Cyclopedia
 n. The act of intersecting; a cutting or dividing, or cutting across: as, the intersection of a map by lines of latitude and longitude.
 n. A place of crossing; specifically, a point common to two lines or a line and a surface, or a line common to two surfaces: as, a house at the intersection of two roads; the intersection of two geometrical lines or figures.
 n. In logic, the relation of two classes each of which partly excludes and partly includes the other.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. a point where lines intersect
 n. a junction where one street or road crosses another
 n. a representation of common ground between theories or phenomena
 n. the act of intersecting (as joining by causing your path to intersect your target's path)
 n. a point or set of points common to two or more geometric configurations
 n. the set of elements common to two or more sets
Etymologies
Examples

Sixth, if you decide to look for a policía de tránsito controlling traffic before you cross, make sure the person you see in the intersection is a traffic officer.

(At the corner of the intersection is a big statue of the pope.)

Finding other ways to imagine this intersection is a pressing task, especially given the need to replenish the moral energies that sustain and motivate liberal democracies.

The state needs over one billion dollars and this intersection is a long way off in time no matter if it is 3 miles or 5 miles or whatever.

We chose the companies based on their product and services offerings as they relate to intelligent infrastructure, which we define as the intersection of the Internet, telecommunications and information technology.

We chose the companies based on their products and services as they relate to intelligent infrastructure, which we define as the intersection of the Internet, telecommunications and information technology.

Forbes.com chose the companies based on their product and services offerings as they relate to intelligent infrastructure, which we define as the intersection of the Internet, telecommunications and information technology.

Then he learned, by trial and error, that he was best suited to focus on what he calls the intersection of social dynamics and individual psychology.

It might not be accurate even to call the area where New York and Florida avenues come together an "intersection," since by strict definition an intersection is where "A and B" meet.
N.Y.Fla. avenues' intersection becomes an even bigger headscratcher

Union Square’s main intersection is getting a road diet which will make it almost a little piece of Europe.
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