/ kʌsp; NAmE / noun
1.
( technical ) a pointed end where two curves meet :
the cusp of a leaf
2.
the time when one sign of the zodiac ends and the next begins :
I was born on the cusp between Virgo and Libra.
( figurative )
He was on the cusp between small acting roles and moderate fame.
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WORD ORIGIN
late 16th cent. (in sense 2): from Latin cuspis point or apex.