Difference between revisions of "Point of cessation"
From Encyclopedia of Mathematics
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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 | + | {{TEX|done}} |
+ | 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" /> | <img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/p073180a.gif" /> | ||
Figure: p073180a | Figure: p073180a | ||
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+ | [[Category:Geometry]] |
Latest revision as of 16:47, 2 November 2014
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
How to Cite This Entry:
Point of cessation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Point_of_cessation&oldid=15301
Point of cessation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Point_of_cessation&oldid=15301
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article