Definition of of a surface of revolution. Meaning of of a surface of revolution. Synonyms of of a surface of revolution

Here you will find one or more explanations in English for the word of a surface of revolution. Also in the bottom left of the page several parts of wikipedia pages related to the word of a surface of revolution and, of course, of a surface of revolution synonyms and on the right images related to the word of a surface of revolution.

Definition of of a surface of revolution

of a surface of revolution
Vertex Ver"tex, n.; pl. Vertexes, L. Vertices. [L. vertex, -icis, a whirl, top of the head, top, summit, from vertere to turn. See Verse, and cf. Vortex.] A turning point; the principal or highest point; top; summit; crown; apex. Specifically: (a) (Anat.) The top, or crown, of the head. (b) (Anat.) The zenith, or the point of the heavens directly overhead. (c) (Math.) The point in any figure opposite to, and farthest from, the base; the terminating point of some particular line or lines in a figure or a curve; the top, or the point opposite the base. Note: The principal vertex of a conic section is, in the parabola, the vertex of the axis of the curve: in the ellipse, either extremity of either axis, but usually the left-hand vertex of the transverse axis; in the hyperbola, either vertex, but usually the right-hand vertex of the transverse axis. Vertex of a curve (Math.), the point in which the axis of the curve intersects it. Vertex of an angle (Math.), the point in which the sides of the angle meet. Vertex of a solid, or of a surface of revolution (Math.), the point in which the axis pierces the surface.

Meaning of of a surface of revolution from wikipedia

- A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) one full revolution around an axis of rotation (normally...
- (except at its boundary). The surface created by this revolution and which bounds the solid is the surface of revolution. ****uming that the curve does...
- In mathematics, a minimal surface of revolution or minimum surface of revolution is a surface of revolution defined from two points in a half-plane, whose...
- a toroid is a surface of revolution with a hole in the middle. The axis of revolution p****es through the hole and so does not intersect the surface....
- Kepler-Poinsot polyhedra. A surface generated by revolving a plane curve about a fixed line in its plane as an axis is called a surface of revolution. The plane curve...
- geometry, a torus (pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an...
- either of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution. The theorems are attributed to Pappus of Alexandria...
- are the only surfaces with two-parameter families of rigid motions and the surfaces of revolution and helicoids are the only surfaces with a one-parameter...
- As an example, the (half) pseudosphere (with radius 1) is the surface of revolution of the tractrix parametrized by t ↦ ( t − tanh ⁡ t , sech t ) , 0...
- The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface...