“cylindrical polar coordinates”的概念、定义、翻译、参考文献-科学参考

cylindrical polar coordinates

Physics

See polar coordinates.

Mathematics

A coordinate system for 3-dimensional space which is a useful alternative to Cartesian coordinates when describing a problem with a line of symmetry. With the z-axis as that line of symmetry, cylindrical polar coordinates are related to Cartesian coordinates by

$x = ρ cos φ, y = ρ sin φ, z = z .$

Cylindrical polar coordinates of P

Conversely, the cylindrical polar coordinates can be found from (x, y, z) by:

$ρ = \sqrt{x^{2} + y^{2}}, cos φ = \frac{x}{\sqrt{x^{2} + y^{2}}}, sin φ = \frac{y}{\sqrt{x^{2} + y^{2}}}, z = z$

Electronics and Electrical Engineering

A technique for giving three-dimensional coordinates (r,ϕ,z) of a point. Radial distance r is the distance of the point from the vertical z-axis, azimuth angle ϕ specifies a rotation from the x-axis, and height z gives the distance to move parallel to the z-axis to reach the point. See also polar coordinates; spherical polar coordinates.
Cylindrical polar coordinates

单词	cylindrical polar coordinates
释义	cylindrical polar coordinates Physics See polar coordinates. Mathematics A coordinate system for 3-dimensional space which is a useful alternative to Cartesian coordinates when describing a problem with a line of symmetry. With the z-axis as that line of symmetry, cylindrical polar coordinates are related to Cartesian coordinates by $x = ρ cos φ, y = ρ sin φ, z = z .$ Cylindrical polar coordinates of P Conversely, the cylindrical polar coordinates can be found from (x, y, z) by: $ρ = \sqrt{x^{2} + y^{2}}, cos φ = \frac{x}{\sqrt{x^{2} + y^{2}}}, sin φ = \frac{y}{\sqrt{x^{2} + y^{2}}}, z = z$ Electronics and Electrical Engineering A technique for giving three-dimensional coordinates (r,ϕ,z) of a point. Radial distance r is the distance of the point from the vertical z-axis, azimuth angle ϕ specifies a rotation from the x-axis, and height z gives the distance to move parallel to the z-axis to reach the point. See also polar coordinates; spherical polar coordinates. Cylindrical polar coordinates
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