In`ter*sect" (?), v. t. [imp. & p. p. Intersected; p. pr. & vb. n. Intersecting.] [L. intersectus, p. p. of intersecare to intersect; inter + secare to cut. See Section.] 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.

Lands intersected by a narrow frith
Abhor each other.

In`ter*sect" (?), v. i. To cut into one another; to meet and cross each other; as, the point where two lines intersect.

• to cross each other; to cut each other
       Parallel lines don't intersect.
  
• (mathematics) two sets intersect if and only if they have at least one common element