- osculating plane
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Math.the plane containing the circle of curvature of a point on a given curve.[1860-65]
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Universalium. 2010.
osculating plane
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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
osculating plane — Math. the plane containing the circle of curvature of a point on a given curve. [1860 65] … Useful english dictionary
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 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
Osculatory plane — Osculatory Os cu*la*to*ry, a. 1. Of or pertaining to kissing; kissing. The osculatory ceremony. Thackeray. [1913 Webster] 2. (Geom.) Pertaining to, or having the properties of, an osculatrix; capable of osculation; as, a circle may be osculatory… … The Collaborative International Dictionary of English
Curvature — In mathematics, curvature refers to any of a number of loosely related concepts in different areas of geometry. Intuitively, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line, but this … Wikipedia
Differential geometry of curves — This article considers only curves in Euclidean space. Most of the notions presented here have analogues for curves in Riemannian and pseudo Riemannian manifolds. For a discussion of curves in an arbitrary topological space, see the main article… … Wikipedia
Repère de Frenet — En cinématique ou en géométrie différentielle, le repère de Frenet ou repère de Serret Frenet est un outil d étude du comportement local des courbes. Il s agit d un repère local associé à un point P, décrivant une courbe (C). Son mode de… … Wikipédia en Français
List of mathematics articles (O) — NOTOC O O minimal theory O Nan group O(n) Obelus Oberwolfach Prize Object of the mind Object theory Oblate spheroid Oblate spheroidal coordinates Oblique projection Oblique reflection Observability Observability Gramian Observable subgroup… … Wikipedia
