Cylindrical
3D Coordinate Systems
Description
The Cylindrical coordinates are a generalization of two-dimensional polar coordinates to three dimensions by superposing a height (z) axis.
References
Object definitions
Mapping
- TeX
- MathML
- Mathematica input
- Maple input
\{x\to r \cos (\phi ),y\to r \sin (\phi ),z\to z\}
<math>
<mrow>
<mo>{</mo>
<mrow>
<mrow>
<mi>x</mi>
<semantics>
<mo>→</mo>
<annotation encoding='Mathematica'>"\[Rule]"</annotation>
</semantics>
<mrow>
<mi>r</mi>
<mo>⁢</mo>
<mrow>
<mi>cos</mi>
<mo>⁡</mo>
<mo>(</mo>
<mi>ϕ</mi>
<mo>)</mo>
</mrow>
</mrow>
</mrow>
<mo>,</mo>
<mrow>
<mi>y</mi>
<semantics>
<mo>→</mo>
<annotation encoding='Mathematica'>"\[Rule]"</annotation>
</semantics>
<mrow>
<mi>r</mi>
<mo>⁢</mo>
<mrow>
<mi>sin</mi>
<mo>⁡</mo>
<mo>(</mo>
<mi>ϕ</mi>
<mo>)</mo>
</mrow>
</mrow>
</mrow>
<mo>,</mo>
<mrow>
<mi>z</mi>
<semantics>
<mo>→</mo>
<annotation encoding='Mathematica'>"\[Rule]"</annotation>
</semantics>
<mi>z</mi>
</mrow>
</mrow>
<mo>}</mo>
</mrow>
</math>
{x -> r*Cos[\[Phi]], y -> r*Sin[\[Phi]], z -> z}
[x = r*cos(phi), y = r*sin(phi), z = z]
Cite this as:
3D Coordinate Systems: Cylindrical from Differential Geometry Library. http://digi-area.com/DifferentialGeometryLibrary/3DCoordinateSystems/Cylindrical.php
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