cusp
noun /kʌsp/
  /kʌsp/
- [countable] (specialist) a pointed end where two curves meet- the cusp of a leaf
 
- [singular] the time of change between two different states- on the cusp of something two girls on the cusp of adulthood
- on the cusp between A and B He was on the cusp between small acting roles and moderate fame.
 
- [singular] the time when one sign of the zodiac ends and the next begins- on the cusp between A and B I was born on the cusp between Virgo and Libra.
 
Word Originlate 16th cent. (in sense (2)): from Latin cuspis ‘point or apex’.