# Metadata
Source URL:: https://en.wikipedia.org/wiki/Surface_of_revolution
Topics:: #geometry
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# Surface of revolution - Wikipedia
## Highlights
> [!quote]+ Updated on 071222_092219
>
> A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) around an axis of rotation.[1]
>Examples of surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the axis. A circle that is rotated around any diameter generates a sphere of which it is then a great circle, and if the circle is rotated around an axis that does not intersect the interior of a circle, then it generates a torus which does not intersect itself (a ring torus).