Intersect and Intersection

• (v.t.) To cut into or between; to cut or cross mutually; to divide into parts; as, any two diameters of a circle intersect each other at the center.
• (v.i.) To cut into one another; to meet and cross each other; as, the point where two lines intersect.

verb

• Meet at a point.
  • synonyms: cross

noun

• A point where lines intersect.
  • synonyms: intersection point, point of intersection
• A junction where one street or road crosses another.
  • synonyms: crossroad, crossway, crossing, carrefour
• A point or set of points common to two or more geometric configurations.
• The set of elements common to two or more sets.
  • usage: "the set of red hats is the intersection of the set of hats and the set of red things"
  • synonyms: product, Cartesian product
• A representation of common ground between theories or phenomena.
  • usage: "there was no overlap between their proposals"
  • synonyms: overlap, convergence
• The act of intersecting (as joining by causing your path to intersect your target's path. ).

• (n.) The act, state or place of intersecting.
• (n.) The point or line in which one line or surface cuts another.