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Namespace Prefixes

Prefix	IRI
n2	http://qudt.org/vocab/quantitykind/
dcterms	http://purl.org/dc/terms/
n4	http://qudt.org/vocab/unit/
n3	http://qudt.org/schema/qudt/
rdfs	http://www.w3.org/2000/01/rdf-schema#
skos	http://www.w3.org/2004/02/skos/core#
n5	http://qudt.org/vocab/dimensionvector/
n7	http://qudt.org/2.1/vocab/
rdf	http://www.w3.org/1999/02/22-rdf-syntax-ns#
xsdh	http://www.w3.org/2001/XMLSchema#

Statements

Subject Item

n2:Curvature

rdf:type

n3:QuantityKind

rdfs:label

Curvature

rdfs:isDefinedBy

n7:quantitykind

skos:broader

n2:InverseLength

dcterms:description

The canonical example of extrinsic curvature is that of a circle, which has curvature equal to the inverse of its radius everywhere. Smaller circles bend more sharply, and hence have higher curvature. The curvature of a smooth curve is defined as the curvature of its osculating circle at each point. The osculating circle of a sufficiently smooth plane curve at a given point on the curve is the circle whose center lies on the inner normal line and whose curvature is the same as that of the given curve at that point. This circle is tangent to the curve at the given point. The magnitude of curvature at points on physical curves can be measured in \(diopters\) (also spelled \(dioptre\)) — this is the convention in optics.

n3:applicableUnit

n4:DIOPTER

n3:dbpediaMatch

http://dbpedia.org/resource/Curvature

n3:hasDimensionVector

n5:A0E0L-1I0M0H0T0D0

n3:informativeReference

http://en.wikipedia.org/wiki/Curvature

n3:plainTextDescription

The canonical example of extrinsic curvature is that of a circle, which has curvature equal to the inverse of its radius everywhere. Smaller circles bend more sharply, and hence have higher curvature. The curvature of a smooth curve is defined as the curvature of its osculating circle at each point. The osculating circle of a sufficiently smooth plane curve at a given point on the curve is the circle whose center lies on the inner normal line and whose curvature is the same as that of the given curve at that point. This circle is tangent to the curve at the given point. That is, given a point P on a smooth curve C, the curvature of C at P is defined to be 1/R where R is the radius of the osculating circle of C at P. The magnitude of curvature at points on physical curves can be measured in diopters (also spelled dioptre) — this is the convention in optics. [Wikipedia],