Definition of Vertex of a curve. Meaning of Vertex of a curve. Synonyms of Vertex of a curve

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

Definition of 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: (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 Vertex of a curve from wikipedia

- geometry of plane 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...
- geometry, a vertex (pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition...
- Look up vertex in Wiktionary, the free dictionary. Vertex, vertices or vertexes may refer to: Vertex (geometry), a point where two or more curves, lines...
- In mathematics, an orientation of a curve is the choice of one of the two possible directions for travelling on the curve. For example, for Cartesian coordinates...
- The four-vertex theorem of geometry states that the curvature along a simple, closed, smooth plane curve has at least four local extrema (specifically...
- contact and the curve is said to have a vertex. The evolute will have a cusp at the center of the circle. The sign of the second derivative of curvature determines...
- Anything following a hash character (#) is a comment. # this is a comment An OBJ file may contain vertex data, free-form curve/surface attributes, elements...
- volume of the torus formed by revolving the defining circle of the witch around the same line. The curve has a unique vertex at the point of tangency...
- curved. The distance between the vertex and the focus, measured along the axis of symmetry, is the "focal length". The "latus ****" is the chord of...
- the vertex of the curve). It can also be shown that L = 2 a sinh ⁡ H 2 a {\displaystyle L=2a\sinh {\frac {H}{2a}}\,} and H = 2 a arcosh ⁡ h + a a {\displaystyle...