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(figuratively) An important moment when a decision is made that will determine future events.
2012 April 21, Jonathan Jurejko, “Newcastle 3-0 Stoke”, in BBC Sport:
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 the cusp 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 a curve where the curve is continuous but has no derivative, 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 common motif in Gothic architecture.[1]
2021 October 20, Mark Rand, “S&C: a line fit for tourists... and everyone?”, in RAIL, number 942, page 40:
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 the cusp of rail reconnection.
