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...
- In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being...
- 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...
- 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...
- measurement of curvature is expressed in degree of curvature. This is done by having a chord of 100 feet (30.48 m) connecting to two points on an arc of the reference...
- }{2}}\right)d\varphi =16a.} Proof for the radius of curvature The radius of curvature ρ{\displaystyle \rho } of a curve in polar coordinates with equation...
- A=12πa2 {\displaystyle A=12\pi a^{2}\ } and radius of curvature is ρ=|3asin⁡φ|.{\displaystyle \rho =|3a\sin \varphi |.} The proofs of these statements use suitable formulae...
- the length of a straight line between them, i.e., the chord's length, but on the sphere there are no straight lines. In spaces with curvature, straight...
- circle, is a curve of constant curvature which converges asymptotically in both directions to a single ideal point, called the centre of the horocycle. 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...