Definition:Single Cusp
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Definition
A single cusp is a cusp in which the curve is not continuous through the point.
That is, $2$ or more parts of the curve meet at a single point.
Single Cusp of the First Kind
A single cusp of the first kind is a single cusp in which both parts of the curve lie on opposite sides of the coincident tangents defining that single cusp.
Single Cusp of the Second Kind
A single cusp of the second kind is a single cusp in which both parts of the curve lie on the same side of the coincident tangents defining that single cusp.
Also see
- Results about single cusps can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cusp (spinode)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cusp (spinode)