cusp /kʌsp/noun 8verb 1forms 3phrases 1 noun8 •A sharp point or pointed end. •A boundary between zodiacal signs and houses. •A point of transition. •(figurative) An important moment when a decision is made that will determine future events. •A point of a curve where the curve is continuous but has no derivative, but such that it has a derivative at every nearby point. •A point made by the intersection of two curved lines or curved structures, a common motif in Gothic architecture. •Any of the pointed parts of a canine tooth or molar. •A flap of a valve of a heart or blood vessel. verb1 •(slang) To behave in a reckless or dangerous manner. formscusped · cusping · cusps Phrases with cusp on the cuspon the point of a significant transformation, ascendance, etc.