spherical coordinates (in 3D)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:coordinate_system
gptkbp:azimuthalAngleDescription	angle from positive x-axis in x-y plane
gptkbp:azimuthalAngleSymbol	φ
gptkbp:conversionFromCartesian	r = sqrt(x^2 + y^2 + z^2) θ = arccos(z/r) φ = arctan2(y, x)
gptkbp:conversionToCartesian	x = r sinθ cosφ y = r sinθ sinφ z = r cosθ
gptkbp:coordinate3	gptkb:azimuthal_angle_(φ)
gptkbp:coordinates	polar angle (θ) radius (r)
gptkbp:dimensions	3
gptkbp:firstDescribed	gptkb:Leonhard_Euler 18th century
gptkbp:generalizes	gptkb:polar_coordinates
gptkbp:polarAngleDescription	angle from positive z-axis
gptkbp:polarAngleSymbol	θ
gptkbp:radiusDescription	distance from origin
gptkbp:radiusSymbol	r
gptkbp:relatedTo	gptkb:cylindrical_coordinates Cartesian coordinates
gptkbp:usedFor	problems with spherical symmetry
gptkbp:usedIn	gptkb:mathematics engineering physics
gptkbp:volumeElement	r^2 sinθ dr dθ dφ
gptkbp:bfsParent	gptkb:finite-dimensional_Euclidean_space
gptkbp:bfsLayer	8
https://www.w3.org/2000/01/rdf-schema#label	spherical coordinates (in 3D)