osculating circle

osculating circle
noun
the circle that touches a curve (on the concave side) and whose radius is the radius of curvature
• Hypernyms: ↑circle

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noun
: a circle which is tangent to a curve at a given point, which lies in the limiting plane determined by the tangent to the curve and a point moving along the curve to the point of tangency, which has its center situated on the normal to the curve at the given point and, also, on the concave side of the projection of the curve onto the limiting plane, and which has a radius equal to the radius of curvature

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Math.
[1810-20]

Useful english dictionary. 2012.

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Look at other dictionaries:

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

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

  • 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 …  

  • 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 curve… …   The Collaborative International Dictionary of English

  • Circle of altitude — 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

  • Circle of curvature — 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

  • Circle of declination — 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

  • Circle of latitude — 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

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