Definition of Circle of curvature. Meaning of Circle of curvature. Synonyms of Circle of curvature

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

Definition of Circle of curvature

Circle 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 Circle of curvature from wikipedia

- higher curvature. The curvature at a point of a differentiable curve is the curvature of its osculating circle — that is, the circle that best approximates...
- An osculating circle is a circle that best approximates the curvature of a curve at a specific point. It is tangent to the curve at that point and has...
- of curvature is the radius of a circle that best fits a normal section or combinations thereof. In the case of a space curve, the radius of curvature...
- In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno...
- Gaussian curvature or Gauss curvature Κ of a smooth surface in three-dimensional space at a point is the product of the prin****l curvatures, κ1 and κ2...
- does not have a surface of centers. For a given normal section exists a circle of curvature that equals the sectional curvature, is tangent to the surface...
- numbers allows the centers of the circles, and not just their radii, to be calculated. With an appropriate definition of curvature, the theorem also applies...
- this curvature. Here the curvature of a curve is by definition the reciprocal of the radius of the osculating circle. The curvature is taken to be positive...
- geometry, the center of curvature of a curve is a point located at a distance from the curve curvature is zero. The osculating circle to the curve is centered...
- closer to the equator than A. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator...