four-vertex theorem

theorem that every simple closed smooth curve in the plane has at least four points of locally extreme curvature
rdfs:label
"four-vertex theorem"@en
skos:altLabel "四顶点定理"@zh
schema:description
"theorem that every simple closed smooth curve in the plane has at least four points of locally extreme curvature"@en
schema:dateModified "2026-06-21T17:14:20+00:00"^^xsd:dateTime
schema:version 2508841299
wikibase:identifiers 2
wikibase:sitelinks 10
wikibase:statements 7
p:P1269 wd:statement/Q994401-6138517b-4eb5-6640-d526-eb67982f5d5b
wd:statement/Q994401-bb02ab79-4200-d8e3-0852-acd80887153e
p:P31 wd:statement/Q994401-47307433-818B-47C1-B9DD-BD8A2E3C5E51
p:P361 wd:statement/Q994401-12FEFDDB-8799-46D9-AE8D-E7219A9EB363
p:P6104 wd:statement/Q994401-C9241805-09B0-48B7-A1A1-83769DE2D8B6
p:P6366 wd:statement/Q994401-85278EFB-401A-48FF-B8C3-61CD146D9F3B
p:P646 wd:statement/Q994401-CAA8A070-42D6-4096-A878-FB8E95C29557
p:direct-normalized/P6366 <https://makg.org/entity/112726858>
wdt:P1269 curve
geometry
wdt:P31 theorem
wdt:P361 list of theorems
wdt:P6104 WikiProject Mathematics
wdt:P6366 "112726858"
wdt:P646 "/m/0c7ggc"
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