Definition of Chord of curvature. Meaning of Chord of curvature. Synonyms of Chord of curvature

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Definition of Chord of curvature

Chord of curvature
Chord Chord, n. [L chorda a gut, a string made of a gut, Gr. ?. In the sense of a string or small rope, in general, it is written cord. See Cord.] 1. The string of a musical instrument. --Milton. 2. (Mus.) A combination of tones simultaneously performed, producing more or less perfect harmony, as, the common chord. 3. (Geom.) A right line uniting the extremities of the arc of a circle or curve. 4. (Anat.) A cord. See Cord, n., 4. 5. (Engin.) The upper or lower part of a truss, usually horizontal, resisting compression or tension. --Waddell. Accidental, Common, & Vocal chords. See under Accidental, Common, and Vocal. Chord of an arch. See Illust. of Arch. Chord of curvature, a chord drawn from any point of a curve, in the circle of curvature for that point. Scale of chords. See Scale.
Chord of curvature
Curvature Cur"va*ture (k?r"v?-t?r; 135), n. [L. curvatura. See Curvate.] 1. The act of curving, or the state of being bent or curved; a curving or bending, normal or abnormal, as of a line or surface from a rectilinear direction; a bend; a curve. --Cowper. The elegant curvature of their fronds. --Darwin. 2. (Math.) The amount of degree of bending of a mathematical curve, or the tendency at any point to depart from a tangent drawn to the curve at that point. Aberrancy of curvature (Geom.), the deviation of a curve from a circular form. Absolute curvature. See under Absolute. Angle of curvature (Geom.), one that expresses the amount of curvature of a curve. Chord of curvature. See under Chord. Circle of curvature. See Osculating circle of a curve, under Circle. Curvature of the spine (Med.), an abnormal curving of the spine, especially in a lateral direction. Radius of curvature, the radius of the circle of curvature, or osculatory circle, at any point of a curve.

Meaning of Chord of curvature from wikipedia

- surveying. The degree of curvature is defined as the central angle to the ends of an agreed length of either an arc or a chord; various lengths are commonly...
- contained in a larger space, curvature can be defined extrinsically relative to the ambient space. Curvature of Riemannian manifolds of dimension at least two...
- thickness-to-chord ratio, sometimes simply chord ratio or thickness ratio, compares the maximum vertical thickness of a wing to its chord. It is a key measure of the...
- circle"), sometimes called an oricycle or limit circle, is a curve of constant curvature where all the perpendicular geodesics (normals) through a point...
- radius of curvature ρ ( φ ) = 8 3 a sin ⁡ φ 2 . {\displaystyle \rho (\varphi )={\tfrac {8}{3}}a\sin {\tfrac {\varphi }{2}}\,.} The proofs of these statements...
- center to each of the chord's end points. The angle between the radii lines is the degree of curvature. The degree of curvature is inverse of radius. The...
- a major chord. The base chord consists of at least 3 notes and may include all the strings or a subset. The tuning is named for the open chord, Open D...
- the tortuosity as the integral of the square (or module) of the curvature. Dividing the result by length of curve or chord has also been tried. In 2002...
- can form surfaces of constant curvature. Certain highly symmetric spaces whose points represent lines in the plane have the shape of a Möbius strip. The...
- A=12\pi a^{2}\ } and radius of curvature is ρ = | 3 a sin ⁡ φ | . {\displaystyle \rho =|3a\sin \varphi |.} The proofs of these statements use suitable...