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What is an intersection?

What is an intersection? Here are some definitions.

Noun
  1. The junction of two (or more) paths, streets, highways, or other thoroughfares.
  2. (geometry) 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).
  3. (set theory) The set containing all the elements that are common to two or more sets.
  4. (sports) The element where two or more straight lines of synchronized skaters pass through each other.
  5. (category theory) The pullback of a corner of monics.
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The construction involves joining some points and drawing through some of the points of intersection lines parallel to other lines.
In his writing and frequent lectures, Jackson explores the intersection of science and society, agronomy and ecology, culture and politics.
The speeding Corvette swerved to avoid intersection traffic and went into a spin.
The restaurant is a respectful distance from the nearby busy intersection, and so noise pollution should be at an acceptably low level.
They encouraged architectural readings through the intersection of diagonal and rectilinear bars and planes of color.
At every intersection, in every town, there was a traffic policeman or two, waving us on.

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