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intersection (n.)

1550s, "act or fact of crossing," from Middle French intersection (14c.) and directly from Latin intersectionem (nominative intersectio) "a cutting asunder, intersection," noun of action from past participle stem of intersecare "intersect, cut asunder," from inter- "between" (see inter-) + secare "to cut" (from PIE root *sek- "to cut"). In English originally a term in geometry; meaning "crossroads, a place of crossing" is from 1864. Related: Intersectional.

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Definitions of intersection from WordNet

intersection (n.)
a point where lines intersect;
Synonyms: intersection point / point of intersection
intersection (n.)
a junction where one street or road crosses another;
intersection (n.)
a point or set of points common to two or more geometric configurations;
intersection (n.)
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
Synonyms: product / Cartesian product
intersection (n.)
a representation of common ground between theories or phenomena;
Synonyms: overlap / convergence
intersection (n.)
the act of intersecting (as joining by causing your path to intersect your target's path);
From wordnet.princeton.edu