Cusp (singularity)

An ordinary cusp occurring as the caustic of light rays in the bottom of a teacup.

In mathematics a cusp, sometimes called spinode in old texts, is a point on a curve where a moving point on the curve must start to move backward. A typical example is given in the figure. A cusp is thus a type of singular point of a curve.

For a plane curve defined by a differentiable parametric equation

单词	Rhamphoid cusp
释义	Rhamphoid cusp 英语百科 Cusp (singularity) In mathematics a cusp, sometimes called spinode in old texts, is a point on a curve where a moving point on the curve must start to move backward. A typical example is given in the figure. A cusp is thus a type of singular point of a curve. For a plane curve defined by a differentiable parametric equation
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Rhamphoid cusp

Cusp (singularity)