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Angle 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.

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.

- In mathematics, curvature is any of several strongly related concepts in geometry. Intuitively, the curvature is the amount by which a curve deviates...

- use in layout 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...

- \angle xyz}{|x-z|}}} where ∠ x y z {\displaystyle \angle xyz} is the angle made at the y-corner of the triangle spanned by x,y,z. Menger curvature may...

- differential geometry, the Gaussian curvature or Gauss curvature Κ of a surface at a point is the product of the prin****l curvatures, κ1 and κ2, at the given point:...

- its curvature, whereas the topology of the universe describes general global properties of its shape as a continuous object. The spatial curvature is defined...

- angle and κ is the curvature. If the curve is given in Cartesian coordinates as y(x), i.e., as the graph of a function, then the radius of curvature is...

- unified description of gravity as a geometric property of space and time or four-dimensional spacetime. In particular, the curvature of spacetime is directly...

- } The curvature is the reciprocal of the curvature angular radius in radians. A curvature of 1.0 appears as a circle of an angular radius of 57.3° corresponding...

- the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at...

- are designed to minimize field curvature, and so effectively have a focal length that increases with ray angle. Lenses of short focal lengths (ultra wide...

- use in layout 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...

- \angle xyz}{|x-z|}}} where ∠ x y z {\displaystyle \angle xyz} is the angle made at the y-corner of the triangle spanned by x,y,z. Menger curvature may...

- differential geometry, the Gaussian curvature or Gauss curvature Κ of a surface at a point is the product of the prin****l curvatures, κ1 and κ2, at the given point:...

- its curvature, whereas the topology of the universe describes general global properties of its shape as a continuous object. The spatial curvature is defined...

- angle and κ is the curvature. If the curve is given in Cartesian coordinates as y(x), i.e., as the graph of a function, then the radius of curvature is...

- unified description of gravity as a geometric property of space and time or four-dimensional spacetime. In particular, the curvature of spacetime is directly...

- } The curvature is the reciprocal of the curvature angular radius in radians. A curvature of 1.0 appears as a circle of an angular radius of 57.3° corresponding...

- the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at...

- are designed to minimize field curvature, and so effectively have a focal length that increases with ray angle. Lenses of short focal lengths (ultra wide...

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