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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.

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.

- A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) around an axis of rotation. Examples of surfaces...

- 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 sphere (from Gr**** σφαῖρα—sphaira, "globe, ball") is a geometrical object in three-dimensional space that is the surface of a ball (viz., analogous...

- The Industrial Revolution, now also known as the First Industrial Revolution, was the transition to new manufacturing processes in Europe and the United...

- In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar...

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

- 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...

- Microsoft Surface is a series of touchscreen-based personal computers and interactive whiteboards designed and developed by Microsoft, running the Microsoft...

- The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area...

- mathematics, a toroid is a surface of revolution with a hole in the middle, like a doughnut, forming a solid body. The axis of revolution p****es through...

- 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 sphere (from Gr**** σφαῖρα—sphaira, "globe, ball") is a geometrical object in three-dimensional space that is the surface of a ball (viz., analogous...

- The Industrial Revolution, now also known as the First Industrial Revolution, was the transition to new manufacturing processes in Europe and the United...

- In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar...

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

- 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...

- Microsoft Surface is a series of touchscreen-based personal computers and interactive whiteboards designed and developed by Microsoft, running the Microsoft...

- The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area...

- mathematics, a toroid is a surface of revolution with a hole in the middle, like a doughnut, forming a solid body. The axis of revolution p****es through...

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