Center of curvature

Center of curvature

In geometry, center of curvature of a curve is found at a point that is at a distance equal to the radius of curvature lying on the normal vector. It is the point at infinity if the curvature is zero. The osculating circle to the curve is centered at the center of curvature.

ee also

*Curvature
*Differential geometry of curves

References

*Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | last2=Cohn-Vossen | first2=Stephan | author2-link=Stephan Cohn-Vossen | title=Geometry and the Imagination | publisher=Chelsea | location=New York | edition=2nd | isbn=978-0-8284-1087-8 | year=1952


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  • center of curvature — kreivumo centras statusas T sritis fizika atitikmenys: angl. center of curvature vok. Krümmungsmittelpunkt, m rus. центр кривизны, m pranc. centre de courbure, m …   Fizikos terminų žodynas

  • Center of curvature of a curve — Center Cen ter, n. [F. centre, fr. L. centrum, fr. round which a circle is described, fr. ? to prick, goad.] 1. A point equally distant from the extremities of a line, figure, or body, or from all parts of the circumference of a circle; the… …   The Collaborative International Dictionary of English

  • center of curvature — noun the center of the circle of curvature • Syn: ↑centre of curvature • Hypernyms: ↑center, ↑centre, ↑midpoint …   Useful english dictionary

  • center of curvature — Date: 1850 the center of the circle whose center lies on the concave side of a curve on the normal to a given point of the curve and whose radius is equal to the radius of curvature at that point …   New Collegiate Dictionary

  • center of curvature — Math. the center of the circle of curvature. [1865 70] * * * …   Universalium

  • center of curvature — noun The center of the osculating circle to a given curve at a given point …   Wiktionary

  • Center — Cen ter, n. [F. centre, fr. L. centrum, fr. round which a circle is described, fr. ? to prick, goad.] 1. A point equally distant from the extremities of a line, figure, or body, or from all parts of the circumference of a circle; the middle point …   The Collaborative International Dictionary of English

  • Center of a curve — Center Cen ter, n. [F. centre, fr. L. centrum, fr. round which a circle is described, fr. ? to prick, goad.] 1. A point equally distant from the extremities of a line, figure, or body, or from all parts of the circumference of a circle; the… …   The Collaborative International Dictionary of English

  • Center of a fleet — Center Cen ter, n. [F. centre, fr. L. centrum, fr. round which a circle is described, fr. ? to prick, goad.] 1. A point equally distant from the extremities of a line, figure, or body, or from all parts of the circumference of a circle; the… …   The Collaborative International Dictionary of English

  • Center of a surface — Center Cen ter, n. [F. centre, fr. L. centrum, fr. round which a circle is described, fr. ? to prick, goad.] 1. A point equally distant from the extremities of a line, figure, or body, or from all parts of the circumference of a circle; the… …   The Collaborative International Dictionary of English

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