Definition of Radius of curvature. Meaning of Radius of curvature. Synonyms of Radius of curvature

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Definition of Radius of curvature

Radius of curvature
Radius Ra"di*us, n.; pl. L. Radii; E. Radiuses. [L., a staff, rod, spoke of a wheel, radius, ray. See Ray a divergent line.] 1. (Geom.) A right line drawn or extending from the center of a circle to the periphery; the semidiameter of a circle or sphere. 2. (Anat.) The preaxial bone of the forearm, or brachium, corresponding to the tibia of the hind limb. See Illust. of Artiodactyla. Note: The radius is on the same side of the limb as the thumb, or pollex, and in man it so articulated that its lower end is capable of partial rotation about the ulna. 3. (Bot.) A ray, or outer floret, of the capitulum of such plants as the sunflower and the daisy. See Ray, 2. 4. pl. (Zo["o]l.) (a) The barbs of a perfect feather. (b) Radiating organs, or color-markings, of the radiates. 5. The movable limb of a sextant or other angular instrument. --Knight. Radius bar (Math.), a bar pivoted at one end, about which it swings, and having its other end attached to a piece which it causes to move in a circular arc. Radius of curvature. See under Curvature.
Radius 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 Radius of curvature from wikipedia

- differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best...
- Other ways to define and measure the Earth's radius involve either the spheroid's radius of curvature or the actual topography. A few definitions yield...
- that of a circle, which has a curvature equal to the reciprocal of its radius. Smaller circles bend more sharply, and hence have higher curvature. The...
- Radius of curvature (ROC) has specific meaning and sign convention in optical design. A spherical lens or mirror surface has a center of curvature located...
- of radius r has Gaussian curvature ⁠1/r2⁠ everywhere, and a flat plane and a cylinder have Gaussian curvature zero everywhere. The Gaussian curvature...
- railways that cannot take the sharper curvature. For the handling of long freight trains, a minimum 574-foot (175 m) radius is preferred. The sharpest curves...
- length of arc or chord. Curvature is usually measured in radius of curvature. A small circle can be easily laid out by just using radius of curvature, but...
- When R = 0, the torus degenerates into a sphere with radius r. The greatest radius of curvature of the toric lens surface, R + r, corresponds to the smallest...
- kinematics of curved motion it is known that an object moving at tangential speed v along a path with radius of curvature r accelerates toward the center of curvature...
- life. The smaller the bend radius, the greater the material flexibility (as the radius of curvature decreases, the curvature increases). The diagram to...