Osculating

Osculating
Osculate Os"cu*late, v. t. [imp. & p. p. {Osculated}; p. pr. & vb. n. {Osculating}.] [L. osculatus, p. p. of osculari to kiss, fr. osculum a little mouth, a kiss, dim. of os mouth. See {Oral}, and cf. {Oscillate}.] [1913 Webster] 1. To kiss. [1913 Webster]

2. (Geom.) To touch closely, so as to have a common curvature at the point of contact. See {Osculation}, 2. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • 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 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 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 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 — adjective Having three or more points coincident with another …   Wiktionary

  • osculating — os·cu·late || É‘skjÉ™leɪt / É’skÊŠ v. kiss; touch a curved surface …   English contemporary dictionary

  • osculating circle — Math. See circle of curvature. [1810 20] * * * …   Universalium

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

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