Point of cessation

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A 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.).

Figure: p073180a

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Point of cessation. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article