solid of revolution

More precisely, we may assume that it takes a form of a solid of revolution.

Write for the solid of revolution of the graph about the -axis.

"Solid of revolution complete," the door said.

A representative disk is a three-dimensional volume element of a solid of revolution.

The only part of this work to survive is a book on the solids of revolution of conics.

He discovered the Guldinus theorem to determine the surface and the volume of a solid of revolution.

"Volume of a solid of revolution"

The shape of the nose cone must be chosen for minimum drag so a solid of revolution is used that gives least resistance to motion.

Lighthill's early work included two dimensional aerofoil theory, and supersonic flow around solids of revolution.

Christiaan Huygens successfully performed a quadrature of some Solids of revolution.

Volumes of Solids of Revolution.

In that case, the super-ellipsoid is a solid of revolution, obtained by rotating the Lamé curve with exponent t around the vertical axis.

Two common methods for finding the volume of a solid of revolution are the disc method and the shell method of integration.

The self-potential on the surface of such a solid of revolution can only depend on the radial distance to the center of mass.

Computations of volumes of solids of revolution can usually be done with disk integration or shell integration.

In geometry, a superegg is a solid of revolution obtained by rotating an elongated super-ellipse with exponent greater than 2 around its longest axis.

If the function to be revolved is a function of x, the following integral represents the volume of the solid of revolution:

It is also possible to use the same principles with "washers" instead of "disks" (the "washer method") to obtain "hollow" solids of revolutions.

Using integration (see Solid of revolution and Surface of revolution for details), it is possible to find the volume and the surface area :

On the exhaustion of Neumann's mode of solution for the motion of solids of revolution in liquids, and similar problems, Messeng.

It was reprinted in 1668 with an appendix, Geometriae Pars, in which Gregory explained how the volumes of solids of revolution could be determined.

In mathematics, engineering, and manufacturing, a solid of revolution is a solid figure obtained by rotating a plane curve around some straight line (the axis) that lies on the same plane.

The mathematical figure given the modern name "Gabriel's Horn", was invented by Evangelista Torricelli (1608-1647); it is a paradoxical solid of revolution that has infinite surface area, but finite volume.

For many applications, such a task requires the definition of a solid of revolution shape that experiences minimal resistance to rapid motion through such a fluid medium, which consists of elastic particles.