four-vertex theorem
Sign in to savetheorem that every simple closed smooth curve in the plane has at least four points of locally extreme curvature
In the Vinony graph
Within Vinony's link graph, four-vertex theorem is referenced by 19 other articles, and connects out to curve, maxima and minima and geometry.
Vinony files it under Polygons, Theorems about curves and Theorems in differential geometry.
Its subject is documented across 10 Wikipedia language editions.
Wikidata facts
- Instance of
- theorem
- Part of
- list of theorems
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- maintained by WikiProject
- WikiProject Mathematics
- facet of
- curve
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Connections
curve
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maxima and minima
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geometry
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International Standard Book Number
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circle
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real number
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mathematical proof
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radius
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digital object identifier
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ellipse
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continuous function
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JSTOR
Organization
tangent
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arXiv
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fundamental theorem of algebra
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multiplicative inverse
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if and only if
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convex set
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curvature
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norm
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