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surface of revolution

American  

noun

Mathematics.
  1. a surface formed by revolving a plane curve about a given line.


Etymology

Origin of surface of revolution

First recorded in 1830–40

Example Sentences

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The techniques we use to find arc length can be extended to find the surface area of a surface of revolution, and we close the section with an examination of this concept.

From Textbooks • Mar. 30, 2016

Figure 1.25 A surface of revolution generated by a parametrically defined curve.

From Textbooks • Mar. 30, 2016

Therefore, we can calculate the surface area of a surface of revolution by using the same techniques.

From Textbooks • Mar. 30, 2016

The concepts used to calculate the arc length can be generalized to find the surface area of a surface of revolution.

From Textbooks • Mar. 30, 2016

The only surface of revolution having this property is the catenoid formed by the revolution of a catenary about its directrix.

From Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" by Various