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Section 3-112 entries

3-1.1length 3-1.2width, breadth 3-1.3height, depth, altitude 3-1.4thickness 3-1.5diameter 3-1.6radius 3-1.7path length, arc length 3-1.8distance 3-1.9radial distance 3-1.10position vector 3-1.11displacement 3-1.12radius of curvature

3-1.7

path length, arc length

URNurn:iso:std:iso:80000:-3:ed-2:en:item:3-1.7

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-3/t3-1.7
urn:iso:std:iso:80000:-3:ed-2:en:item:3-1.7

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-3:ed-2:en:item:3-1.7

IEC

urn:iec:std:iec:80000-3:2019:::item:3-1.7

Designations

ENpath length

FRlongueur curviligne

ENarc length

FRlongueur d'arc

Symbol

s

Notation systems

Rendered

s

AsciiMath

s

LaTeX

s

Definition

length of a rectifiable curve between two of its points

longueur d'une courbe rectifiable entre deux de ses points

Units

m

metre

View related quantities →

Notes

The differential path length at a given point of a curve is:

d x = \sqrt{{(d x)}^{2} + {(d y)}^{2} + {(d z)}^{2}}

where $x$ , $y$ , and $z$ denote the Cartesian coordinates (ISO 80000-2: Mathematics) of the particular point.

There are curves which are not rectifiable, for example fractal curves.

La longueur curviligne différentielle en un point donné d'une courbe est:

d x = \sqrt{{(d x)}^{2} + {(d y)}^{2} + {(d z)}^{2}}

où $x$ , $y$ et $z$ désignent les coordonnées cartésiennes (ISO 80000-2: Mathematics) du point particulier.

Certaines courbes ne sont pas rectifiables, par exemple les courbes fractales.

Referenced by

distance angular measure rotational displacement

Concept HierarchyPendrill (2024)

Llength-type quantitiesLevel 0 · Kind

Broader concepts

◇ length-type quantities

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t3-1.7

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	3-1.7
skosxl:prefLabel	"path length"@en
skosxl:altLabel	"arc length"@en"s"@en
skos:definition	length of a rectifiable curve between two of its points
skos:note	The differential path length at a given point of a curve is: [stem%unnumbered] ++++ "d"x = sqrt(("d"x)^2 + ("d"y)^2 + (…
isq:hasUnit	m (metre)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-3

Related Entities

isq:QuantityShape isq:part-3 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry