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Pappus's centroid theorem - The first theorem | | Pappus's centroid theorem - The first theorem: Encyclopedia II - Pappus's centroid theorem - The first theorem | | The first theorem states that the surface area A of a surface of revolution generated by rotating a plane curve C about an axis external to C and on the same plane is equal to product of the arc length s of C and the distance d1 traveled by its centroid.
For example, the surface area of the torus with minor radius r and major radius R is
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See also:Pappus's centroid theorem, Pappus's centroid theorem - The first theorem, Pappus's centroid theorem - The second theorem | | | Pappus's centroid theorem, Pappus's centroid theorem - The first theorem, Pappus's centroid theorem - The second theorem | | |
| | | Pappus's centroid theorem: Encyclopedia II - Pappus's centroid theorem - The first theorem
Pappus's centroid theorem - The first theorem
The first theorem states that the surface area A of a surface of revolution generated by rotating a plane curve C about an axis external to C and on the same plane is equal to product of the arc length s of C and the distance d1 traveled by its centroid.
For example, the surface area of the torus with minor radius r and major radius R is
Other related archivesPappus of Alexandria, Paul Guldin, arc length, axis, centroid, curve, plane, plane figure, revolution, solid of revolution, solids, surface area, surface areas, surface of revolution, surfaces, theorems, torus, volume, volumes
 Adapted from the Wikipedia article "The first theorem", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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