cylindrical coordinate

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-17.2

https://metanorma.github.io/isq-smart/math/part-2-17/t2-17.2
urn:iso:std:iso:80000:-2:ed-2:en:item:2-17.2

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-17.2

IEC

urn:iec:std:iec:80000-2:2019:::item:2-17.2

Designations

ENcylindrical coordinate

FRcoordonnée cylindrique

Symbol

ρ, φ, z

Notation systems

AsciiMath

rho, varphi, z

LaTeX

\rho , \varphi , z

Definition

$r = ρ e_{ρ} + z e_{z}$ +

$d r = d ρ e_{ρ} + ρ d φ e_{φ} + d z e_{z}$

$r = ρ e_{ρ} + z e_{z}$ +

$d r = d ρ e_{ρ} + ρ d φ e_{φ} + d z e_{z}$

$e_{ρ} (φ), e_{φ} (φ), e_{z}$ form an orthonormal right-handed system. See fig2.

If $z = 0$ , then $ρ$ and $φ$ are polar coordinates in the plane.

$e_{ρ} (φ), e_{φ} (φ), e_{z}$ forment un trièdre orthonormé direct. Voir fig2.

Si $z = 0$ , alors $ρ$ et $φ$ sont les coordonnées polaires dans le plan.

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-17.2

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-17.2
skosxl:prefLabel	"cylindrical coordinate"@en
skosxl:altLabel	"rho, varphi, z"@en
skos:definition	stem:[bb(ii(r)) = rho" "bb(ii(e))_rho + z" "bb(ii(e))_z] + stem:["d"bb(ii(r)) = "d"rho" "bb(e)_rho + rho" d"varphi" "e_v…
skos:note	stem:[bb(ii(e))_rho (varphi), bb(ii(e))_varphi(varphi), bb(ii(e))_z] form an orthonormal right-handed system. See <<fig2…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-17