ISQ
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3-8

solid angular measure

URNurn:iso:std:iso:80000:-3:ed-2:en:item:3-8
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https://metanorma.github.io/isq-smart/quantities/part-3/t3-8
urn:iso:std:iso:80000:-3:ed-2:en:item:3-8
ISQ Identifiers
ISO
urn:iso:std:iso:80000:-3:ed-2:en:item:3-8
IEC
urn:iec:std:iec:80000-3:2019:::item:3-8
Designations
ENsolid angular measure
FRangle solide
Symbol
Ω
Notation systems
Rendered
Ω
AsciiMath
ii(Omega)
LaTeX
\mathit{\Omega}

Definition

EN

measure of a conical geometric figure, called solid angle, formed by all rays, originating from a common point, called the vertex of the solid angle, and passing through the points of a closed, non-self-intersecting curve in space considered as the border of a surface

FR

grandeur associée à une figure géométrique conique, appelée aussi «angle solide», formée par toutes les demi-droites ayant pour origine le même point, appelé sommet de l'angle solide, et passant par les points d'une courbe fermée de l'espace ne se recoupant pas et considérée comme le bord d'une surface

Notes

EN

The differential solid angular measure expressed in spherical coordinates (ISO 80000-2: Mathematics) is given by:

d Ω = A r 2 sin θ d θ d φ

where A is area, r is radius, θ and φ are spherical coordinates.

FR

La mesure différentielle d'angle solide, exprimée en coordonnées sphériques (ISO 80000-2: Mathematics), est donnée par:

d Ω = A r 2 sin θ d θ d φ

où A est l'aire, r est le rayon, θ et φ sont les coordonnées sphériques.

Concept HierarchyPendrill (2024)
1dimensionless quantitiesLevel 0 · Kind

Ontology

Class Hierarchy

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

Instance IRI

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3-8
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"solid angular measure"@en
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"ii(Omega)"@en
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measure of a conical geometric figure, called solid angle, formed by all rays, originating from a common point, called t…
skos:note
The differential solid angular measure expressed in spherical coordinates (<<iso80000-2>>) is given by: [stem%unnumbere…
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