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Examples ofsurface of revolution
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The difference with the case of the geodesic flow of asurfaceofrevolutioncomes from the fact that in our example a parallel cannot be a magnetic geodesic.
From theCambridge English Corpus
One characterization of a torus is that it is asurfaceofrevolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Thesurfaceofrevolutionof the catenary curve, the catenoid, is a minimal surface, specifically a minimalsurfaceofrevolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.If the sphere centers lie on a straight line, the channel surface is asurfaceofrevolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Thesurfaceofrevolutionis the nodoid constant mean curvature surface.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The relation remains valid for a geodesic on an arbitrarysurfaceofrevolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The sections of thesurfaceofrevolutionmade by planes that are perpendicular to the axis are circles.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A minimalsurfaceofrevolutionis thesurfaceofrevolutionof the curve between two given points which minimizes surface area.
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This example is from Wikipedia and may be reused under a CC BY-SA license.We prove that it is admissible to assume that the pitch of these helicoids vanishes so that the flux surfaces become surfaces of revolution.
From theCambridge English Corpus
This function leads to asurfaceofrevolutionconsisting of two circular disks, one for each point, connected by a degenerate line segment along the axis of revolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Accordingly, the flux surfaces may be chosen to be surfaces of revolution.
From theCambridge English Corpus
This is true for a circular cylinder, sphere, cone, torus, and a few other surfaces of revolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.He also defined the spiral bearing his name, formulae for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers.
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This example is from Wikipedia and may be reused under a CC BY-SA license.There are only two minimal surfaces of revolution (surfaces of revolution which are also minimal surfaces): the plane and the catenoid.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Lathes are very similar to surfaces of revolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.He also studied the spiral bearing his name and obtained formulas for the volumes of surfaces of revolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Some special cases of hyperboloids (of either one or two sheets) and elliptic paraboloids are surfaces of revolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.