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- Osculating_circle abstract "In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature is the same as that of the given curve at that point. This circle, which is the one among all tangent circles at the given point that approaches the curve most tightly, was named circulus osculans (Latin for \"kissing circle\") by Leibniz.The center and radius of the osculating circle at a given point are called center of curvature and radius of curvature of the curve at that point. A geometric construction was described by Isaac Newton in his Principia:There being given, in any places, the velocity with which a body describes a given figure, by means of forces directed to some common centre: to find that centre.".
- Osculating_circle thumbnail Osculating_circle.svg?width=300.
- Osculating_circle wikiPageExternalLink PPA1,M1.
- Osculating_circle wikiPageExternalLink PPA313,M1.
- Osculating_circle wikiPageExternalLink books?id=OLNeNIbD3jUC&pg=PA72&vq=curvature&dq=Leibniz+Calculus+Bos&lr=&source=gbs_search_s&sig=ACfU3U1ksyW8pE2DkRUdMQ6-Dw5jo4WdJA.
- Osculating_circle wikiPageExternalLink CurvatureMod.html.
- Osculating_circle wikiPageExternalLink CurvatureAndTorsionOfCurves.mw.
- Osculating_circle wikiPageExternalLink TR_87-122.pdf.
- Osculating_circle wikiPageID "1896705".
- Osculating_circle wikiPageLength "10053".
- Osculating_circle wikiPageOutDegree "35".
- Osculating_circle wikiPageRevisionID "688546816".
- Osculating_circle wikiPageWikiLink Arc_length.
- Osculating_circle wikiPageWikiLink Category:Circles.
- Osculating_circle wikiPageWikiLink Category:Curves.
- Osculating_circle wikiPageWikiLink Category:Differential_geometry.
- Osculating_circle wikiPageWikiLink Circle_packing_theorem.
- Osculating_circle wikiPageWikiLink Contact_(mathematics).
- Osculating_circle wikiPageWikiLink Curvature.
- Osculating_circle wikiPageWikiLink Curve.
- Osculating_circle wikiPageWikiLink Differential_geometry_of_curves.
- Osculating_circle wikiPageWikiLink Earth_radius.
- Osculating_circle wikiPageWikiLink Envelope_(mathematics).
- Osculating_circle wikiPageWikiLink Evolute.
- Osculating_circle wikiPageWikiLink Frenet–Serret_formulas.
- Osculating_circle wikiPageWikiLink Gottfried_Wilhelm_Leibniz.
- Osculating_circle wikiPageWikiLink Infinitesimal.
- Osculating_circle wikiPageWikiLink Isaac_Newton.
- Osculating_circle wikiPageWikiLink Lissajous_curve.
- Osculating_circle wikiPageWikiLink Maple_(software).
- Osculating_circle wikiPageWikiLink Maxima_and_minima.
- Osculating_circle wikiPageWikiLink Normal_(geometry).
- Osculating_circle wikiPageWikiLink Osculating_curve.
- Osculating_circle wikiPageWikiLink Osculating_plane.
- Osculating_circle wikiPageWikiLink Philosophiæ_Naturalis_Principia_Mathematica.
- Osculating_circle wikiPageWikiLink Radius_of_curvature_(mathematics).
- Osculating_circle wikiPageWikiLink Tangent.
- Osculating_circle wikiPageWikiLink Tangent_circles.
- Osculating_circle wikiPageWikiLink Tangent_lines_to_circles.
- Osculating_circle wikiPageWikiLink Vertex_(curve).
- Osculating_circle wikiPageWikiLink File:Lissajous-Curve+OsculatingCircle+3vectors_animated.gif.
- Osculating_circle wikiPageWikiLink File:Osculating_circle.svg.
- Osculating_circle wikiPageWikiLink File:Parabola_circle.svg.
- Osculating_circle wikiPageWikiLinkText "Osculating circle".
- Osculating_circle wikiPageWikiLinkText "center of curvature".
- Osculating_circle wikiPageWikiLinkText "centers of curvature".
- Osculating_circle wikiPageWikiLinkText "osculate".
- Osculating_circle wikiPageWikiLinkText "osculating circle".
- Osculating_circle wikiPageWikiLinkText "osculating".
- Osculating_circle wikiPageWikiLinkText "radius of curvature".
- Osculating_circle title "Osculating Circle".
- Osculating_circle urlname "OsculatingCircle".
- Osculating_circle wikiPageUsesTemplate Template:Cite_book.
- Osculating_circle wikiPageUsesTemplate Template:Commons_category.
- Osculating_circle wikiPageUsesTemplate Template:MathWorld.
- Osculating_circle wikiPageUsesTemplate Template:Quotation.
- Osculating_circle wikiPageUsesTemplate Template:Redirect.
- Osculating_circle subject Category:Circles.
- Osculating_circle subject Category:Curves.
- Osculating_circle subject Category:Differential_geometry.
- Osculating_circle type Physic.
- Osculating_circle comment "In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature is the same as that of the given curve at that point.".
- Osculating_circle label "Osculating circle".
- Osculating_circle sameAs Q2166240.
- Osculating_circle sameAs دائرة_التقبيل.
- Osculating_circle sameAs Oskulační_kružnice.
- Osculating_circle sameAs Krümmungskreis.
- Osculating_circle sameAs Circunferencia_osculatriz.
- Osculating_circle sameAs Zirkulu_oskulatzaile.
- Osculating_circle sameAs Cercle_osculateur.
- Osculating_circle sameAs מעגל_נושק.
- Osculating_circle sameAs Kromtestraal.
- Osculating_circle sameAs m.064k5r.
- Osculating_circle sameAs Cerc_osculator.
- Osculating_circle sameAs Соприкасающаяся_окружность.
- Osculating_circle sameAs Pritisnjena_krožnica.
- Osculating_circle sameAs Стичне_коло.
- Osculating_circle sameAs Q2166240.
- Osculating_circle wasDerivedFrom Osculating_circle?oldid=688546816.
- Osculating_circle depiction Osculating_circle.svg.
- Osculating_circle isPrimaryTopicOf Osculating_circle.