The Collaborative International Dictionary of English v.0.48:

Intersection \In`ter*sec"tion\, n. [L. intersectio: cf. F.
   intersection.]
   [1913 Webster]
   1. The act, state, or place of intersecting.
      [1913 Webster]

   2. (Geom.) The point or line in which one line or surface
      cuts another.
      [1913 Webster]

WordNet (r) 3.0 (2006):

intersection
    n 1: a point where lines intersect [syn: intersection,
         intersection point, point of intersection]
    2: a junction where one street or road crosses another [syn:
       intersection, crossroad, crossway, crossing,
       carrefour]
    3: a point or set of points common to two or more geometric
       configurations
    4: the set of elements common to two or more sets; "the set of
       red hats is the intersection of the set of hats and the set
       of red things" [syn: intersection, product, Cartesian
       product]
    5: a representation of common ground between theories or
       phenomena; "there was no overlap between their proposals"
       [syn: overlap, convergence, intersection]
    6: the act of intersecting (as joining by causing your path to
       intersect your target's path)