(figuratively) An important moment when a decision is made that will determine future events.
2012 April 21, Jonathan Jurejko, “Newcastle 3-0 Stoke”, inBBC Sport[1]:
Newcastle were 11 points adrift of Spurs following their 5-0 mauling at the hands of the north London club in February. But a sixth successive Premier League win puts them on thecusp of European football next season as they surged 15 points clear of seventh-placed Everton, who have five games left to play.
(geometry) A point of acurve where the curve iscontinuous but has noderivative, but such that it has a derivative at every nearby point.
(architecture) A point made by the intersection of two curved lines or curved structures, a commonmotif inGothic architecture.[1]
2021 October 20, Mark Rand, “S&C: a line fit for tourists... and everyone?”, inRAIL, number942, page40:
I see freight returning in a big way. The 2016 reconnection of the Helwith Bridge quarries can produce up to three heavy trains a day. The nearby and much bigger Horton quarry is also on thecusp of rail reconnection.