cusp (Noun) — Point formed by two intersecting arcs (as from the intrados of a Gothic arch).
cusp (Noun) — A thin triangular flap of a heart valve.
cusp (Noun) — Small elevation on the grinding surface of a tooth.
cusp (Noun) — An event marking a unique or important historical change of course or one on which important developments depend.
cusp (Noun) — A sharp point or pointed end; a point where an otherwise smooth curve comes to a point.