Brink vs. Cusp — What's the Difference?

Difference Between Brink and Cusp
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Definitions
Brink➦
The upper edge of a steep or vertical slope
The brink of a cliff.
Cusp➦
A point or pointed end.
Brink➦
The margin of land bordering a body of water.
Cusp➦
A pointed or rounded projection on the chewing surface of a tooth.
Brink➦
The point at which something is likely to begin; the verge
"Time and again the monarchs and statesmen of Europe approached the brink of conflict" (W. Bruce Lincoln).
Cusp➦
A triangular fold or flap of a heart valve.
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Brink➦
The edge, margin, or border of a steep place, as of a precipice; a bank or edge.
The brink of a river
Cusp➦
(Mathematics) A point at which a curve crosses itself and at which the two tangents to the curve coincide.
Brink➦
(figurative) The edge or border.
The brink of success
Cusp➦
(Architecture) The point of intersection of two ornamental arcs or curves, such as the inner points of a trefoil.
Brink➦
The edge, margin, or border of a steep place, as of a precipice; a bank or edge, as of a river or pit; a verge; a border; as, the brink of a chasm. Also Fig.
The plashy brink of weedy lake.
Cusp➦
(Astronomy) Either point of a crescent moon.
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Brink➦
A region marking a boundary
Cusp➦
The boundary between two astrological signs or Zodiacal constellations.
Brink➦
The edge of a steep place
Cusp➦
A sharp point or pointed end.
Brink➦
The limit beyond which something happens or changes;
On the verge of tears
On the brink of bankruptcy
Cusp➦
(figuratively) An important moment when a decision is made that will determine future events.
Cusp➦
(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.
Cusp➦
(architecture) A point made by the intersection of two curved lines or curved structures, a common motif in Gothic architecture.
Cusp➦
(astrology) A boundary between zodiacal signs and houses.
Cusp➦
(dentistry) Any of the pointed parts of a canine tooth or molar.
Cusp➦
(anatomy) A flap of a valve of a heart or blood vessel.
Cusp➦
A point of transition.
Cusp➦
A triangular protection from the intrados of an arch, or from an inner curve of tracery.
Cusp➦
The beginning or first entrance of any house in the calculations of nativities, etc.
Cusp➦
The point or horn of the crescent moon or other crescent-shaped luminary.
Cusp➦
A multiple point of a curve at which two or more branches of the curve have a common tangent.
Cusp➦
A prominence or point, especially on the crown of a tooth.
Cusp➦
A sharp and rigid point.
Cusp➦
To furnish with a cusp or cusps.
Cusp➦
Point formed by two intersecting arcs (as from the intrados of a Gothic arch)
Cusp➦
A thin triangular flap of a heart valve
Cusp➦
Small elevation on the grinding surface of a tooth