osculating curve wikipedia - EAS
- Wikipedia Osculating curve Osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve.frankensaurus.com/Osculating_circle
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In differential geometry, an osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve. That is, if F is a family of smooth curves, C is a smooth curve (not in general belonging to F), and p is a point on C, then an osculating curve from F at p is a
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See moreExamples of osculating curves of different orders include:
• The tangent line to a curve C at a point p, the osculating curve from the family of straight lines. The tangent line shares its first derivative (...
See moreThe concept of osculation can be generalized to higher-dimensional spaces, and to objects that are not curves within those spaces. For instance an osculating plane to a space curve is a plane that has second-order contact with the curve. This is as high an order as is
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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 curvaturedefines the curvature of the given curve at that point. This circle, which is the o…
Wikipedia · Text under CC-BY-SA license - https://en.wikipedia.org/wiki/Talk:Osculating_curve
Talk:Osculating curve. Jump to navigation Jump to search. WikiProject Mathematics (Rated Start-class, Mid-priority) This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the ...
- https://en.wikipedia.org/wiki/Osculating_plane
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 such a way as to have a second order of contact at the point. The word osculate is from the Latin osculatus which is a past participle of osculari, meaning to kiss.
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- https://en.wikipedia.org/wiki/Osculating_orbit
In astronomy, and in particular in astrodynamics, the osculating orbit of an object in space at a given moment in time is the gravitational Kepler orbit (i.e. an elliptic or other conic one) that it would have around its central body if perturbations were absent.
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- https://en.wikipedia.org/wiki/Curvature
Historically, the curvature of a differentiable curve was defined through the osculating circle, which is the circle that best approximates the curve at a point. More precisely, given a point P on a curve, every other point Q of the curve defines a circle (or sometimes a line) passing through Q and tangent to the curve at P.
- https://en.wikipedia.org/wiki/Talk:Osculating_circle
Osculate literally means to kiss; the term is used because osculation is a more gentle form of contact than simple tangency. I am not sure the word "gentle" is the best.
- https://simple.wikipedia.org/wiki/File:Osculating_circle.svg
osculation Usage on eo.wikipedia.org Kurbeco (kurbo) Plurvariabla kalkulo Usage on es.wikipedia.org Geometría diferencial de curvas Cálculo multivariable Usage on et.wikipedia.org Kõverus Usage on eu.wikipedia.org Zirkulu oskulatzaile Kurbadura Usage on fa.wikipedia.org ریاضیات حساب چندمتغیره Usage on fi.wikipedia.org Matematiikka Kaarevuus
Wikizero - Osculating curve
https://wikizero.com/www//Osculating_curveIn differential geometry, an osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve.
- https://wikimili.com/en/Osculating_circle
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.