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 curvatureRadius Ra"di*us, n.; pl. L. Radii; E. Radiuses. [L., a
staff, rod, spoke of a wheel, radius, ray. See Ray a
1. (Geom.) A right line drawn or extending from the center of
a circle to the periphery; the semidiameter of a circle or
2. (Anat.) The preaxial bone of the forearm, or brachium,
corresponding to the tibia of the hind limb. See Illust.
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
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.
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 curvatureCurvature Cur"va*ture (k?r"v?-t?r; 135), n. [L. curvatura. See
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.
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,
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
geometry, the radius of curvature
, R, is the reciprocal of
. For a curve, it equals
the radius of
- Radius of curvature
(ROC) has specific meaning
and sign convention
design. A spherical
lens or mirror surface
has a center of curvature
(east–west). The corresponding radius of curvature depends
on the location
and direction of measurement
from that point. A consequence
- that of
a circle, which
has a curvature equal
to the reciprocal of
. Smaller circles
bend more sharply, and hence
have higher curvature
take the sharper curvature
. For the handling of
trains, a minimum
574-foot (175.0 m) radius
is preferred. The sharpest
- portion of
is traveled. Curvature
is usually measured
in radius of curvature
. A small circle
can be easily
laid out by just using radius of
plane. Profile radius of curvature
is the radius of curvature of
at the pitch point
or a point of
contact. It varies
- portion of
it. A sphere
has a single radius of curvature
the radius of
the sphere. More complex surfaces
have radii of curvature
- Leibniz. The center
and radius of
the osculating circle
at a given point
are called center of curvature
and radius of curvature of
at that point...
- Bend radius
to the inside curvature
, is the minimum radius
one can bend a pipe, tube, sheet, cable
or hose without kinking
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