4.6: The Cylinder

Celestial Mechanics · LibreTexts

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    From LibreTexts, under CC BY-NC 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    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).

    This page titled 4.6: The Cylinder was last modified on Sat, 05 Mar 2022 17:43:42 GMT and 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 the style and standards of the LibreTexts platform.