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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. — Isaac Newton, Principia; PROPOSITION V. PROBLEM I.".
- 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 wikiPageRevisionID "597054153".
- Osculating_circle hasPhotoCollection Osculating_circle.
- Osculating_circle title "Osculating Circle".
- Osculating_circle urlname "OsculatingCircle".
- Osculating_circle subject Category:Circles.
- Osculating_circle subject Category:Curves.
- Osculating_circle subject Category:Differential_geometry.
- 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 "Cercle osculateur".
- Osculating_circle label "Circunferencia osculatriz".
- Osculating_circle label "Kromtestraal".
- Osculating_circle label "Krümmungskreis".
- Osculating_circle label "Osculating circle".
- Osculating_circle label "Соприкасающаяся окружность".
- Osculating_circle label "دائرة التقبيل".
- Osculating_circle sameAs Oskulační_kružnice.
- Osculating_circle sameAs Krümmungskreis.
- Osculating_circle sameAs Circunferencia_osculatriz.
- Osculating_circle sameAs Cercle_osculateur.
- Osculating_circle sameAs Kromtestraal.
- Osculating_circle sameAs m.064k5r.
- Osculating_circle sameAs Q2166240.
- Osculating_circle sameAs Q2166240.
- Osculating_circle wasDerivedFrom Osculating_circle?oldid=597054153.
- Osculating_circle depiction Osculating_circle.svg.
- Osculating_circle isPrimaryTopicOf Osculating_circle.