Vertex of a curve

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. 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 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 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.… …   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 (curve) — In the geometry of curves a vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature. Other special cases may occur, for instance when the second derivative is also zero, or… …   Wikipedia

  • Vertex — (Latin: corner; plural vertices or vertexes) may refer to:Mathematics*Vertex (geometry), a corner point of a polygon, polyhedron, tesselation, etc. *Vertex (graph theory), a node in a graph *Vertex (curve), a local extreme point of curvature… …   Wikipedia

  • vertex — [vʉr′teks΄] n. pl. vertexes or vertices [vʉr′tə sēz΄] [L, the top, properly the turning point < vertere, to turn: see VERSE] 1. the highest point; summit; apex, as the top point of the sun, moon, etc. above the horizon 2. Anat. Zool. the top… …   English World dictionary

  • Curve orientation — In mathematics, a positively oriented curve is a planar simple closed curve (that is, a curve in the plane whose starting point is also the end point and which has no other self intersections) such that when traveling on it one always has the… …   Wikipedia

  • Vertex (geometry) — For vertices in the geometry of curves, see Vertex (curve). For other uses of the word, see Vertex (disambiguation). In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric… …   Wikipedia

  • vertex — noun (plural vertices; also vertexes) Etymology: Middle English, top of the head, from Latin vertic , vertex, vortic , vortex whirl, whirlpool, top of the head, summit, from vertere to turn Date: 14th century 1. the top of the head 2. a. the… …   New Collegiate Dictionary

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