Vertex of a surface of revolution

Vertex 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: [1913 Webster] (a) (Anat.) The top, or crown, of the head. [1913 Webster] (b) (Anat.) The zenith, or the point of the heavens directly overhead. [1913 Webster] (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. [1913 Webster]

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. [1913 Webster]

{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 {Vertex of a surface of revolution} (Math.), the point in which the axis pierces the surface. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • 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:… …   The Collaborative International Dictionary of English

  • Vertex of a curve — 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.… …   The Collaborative International Dictionary of English

  • Vertex of a solid — 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.… …   The Collaborative International Dictionary of English

  • Vertex of an angle — 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.… …   The Collaborative International Dictionary of English

  • vertex — [ vɛrtɛks ] n. m. • v. 1560; mot lat. « sommet de la tête » ♦ Anat. Point le plus élevé sur la ligne médiane de la voûte du crâne. ● vertex nom masculin invariable (latin vertex, icis, sommet culminant) Sommet de la tête, tant chez l homme et les …   Encyclopédie Universelle

  • Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …   Wikipedia

  • Axis of revolution — Axis Ax is, n.; pl. {Axes}. [L. axis axis, axle. See {Axle}.] A straight line, real or imaginary, passing through a body, on which it revolves, or may be supposed to revolve; a line passing through a body or system around which the parts are… …   The Collaborative International Dictionary of English

  • Vertexes — 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.… …   The Collaborative International Dictionary of English

  • Vertices — 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.… …   The Collaborative International Dictionary of English

  • Catenary — This article is about the mathematical curve. For other uses, see Catenary (disambiguation). Chainette redirects here. For the wine grape also known as Chainette, see Cinsaut. A hanging chain forms a catenary …   Wikipedia

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