osculating curve

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• Osculating curve — A curve C containing a point P where the radius of curvature equals r, together with the tangent line and the osculating circle touching C at P In mathematics and geometry, an osculating curve is an extension of the concept of tangent. A tangent… …   Wikipedia

• Osculating circle — Kissing circles redirects here. For Descartes theorem on mutually tangent (kissing) circles, see Descartes theorem. An osculating circle In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given… …   Wikipedia

• Osculating circle of a curve — Circle Cir cle (s[ e]r k l), n. [OE. cercle, F. cercle, fr. L. circulus (Whence also AS. circul), dim. of circus circle, akin to Gr. kri kos, ki rkos, circle, ring. Cf. {Circus}, {Circum }.] [1913 Webster] 1. A plane figure, bounded by a single… …   The Collaborative International Dictionary of English

• Osculating orbit — In astronomy, and in particular in astrodynamics, the osculating orbit of an object in space (at a given moment of time) is the gravitational Kepler orbit (i.e. ellipse or other conic) that it would have about its central body (corresponding to… …   Wikipedia

• Osculating plane — A space curve, Frenet–Serret frame, and the osculating plane (spanned by T and N). In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at a point in… …   Wikipedia

• Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

• Curve fitting — best fit redirects here. For placing ( fitting ) variable sized objects in storage, see fragmentation (computer). Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points,… …   Wikipedia

• osculating circle — noun the circle that touches a curve (on the concave side) and whose radius is the radius of curvature • Syn: ↑circle of curvature • Hypernyms: ↑circle * * * noun : a circle which is tangent to a curve at a given point, which lies in the limiting …   Useful english dictionary

• osculating circle — /ɒskjəleɪtɪŋ ˈsɜkəl/ (say oskyuhlayting serkuhl) noun the circle, the arc of which best approximates a curve at a given point on that curve …  

• osculating plane — Math. the plane containing the circle of curvature of a point on a given curve. [1860 65] * * * …   Universalium

• osculating circle — noun The circle that has the same tangent, and the same curvature at the point on the curve …   Wiktionary