Webster's Revised Unabridged Dictionary · 1913

Intersect

Intersect , transitive verb

[Latin intersectus, past participle 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. — Cowper

Intersect , intransitive verb

To cut into one another; to meet and cross each other; as, the point where two lines intersect.