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# 4.6: The Cylinder


In three-dimensional solid geometry the Equation

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \label{4.6.1}$

represents a cylinder of elliptical cross-section, whose axis coincides with the $$z$$-axis. The Equation to a cylinder with an axis in another position and with another orientation can be obtained by the usual processes of translation and rotation of axes (see Section 3.7).

4.6: The Cylinder is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Jeremy Tatum via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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