View source for Point of cessation

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A [[Singular point|singular point]] on a plane curve at which the curve ends. A circle of sufficiently small radius and with centre at a point of cessation intersects the curve at only one point. E.g. for the curve $y=x\ln x$ the origin is the point of cessation (see Fig.).

<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/p073180a.gif" />

Figure: p073180a