Definition of Osculating circle of a curve. Meaning of Osculating circle of a curve. Synonyms of Osculating circle of a curve

- An osculating circle is a circle that best approximates the curvature of a curve at a specific point. It is tangent to the curve at that point and has...
- first-order contact with C. The osculating circle to C at p, the osculating curve from the family of circles. The osculating circle shares both its first and...
- curvature at a point of a differentiable curve is the curvature of its osculating circle — that is, the circle that best approximates the curve near this...
- Index of the curve List of curves topics List of curves Osculating circle Parametric surface Path (topology) Polygonal curve Position vector Vector-valued...
- instance a tangent line is an osculating curve from the family of lines, and has first-order contact with the given curve; an osculating circle is an osculating...
- Orbital elements Osculating circle Osculating plane Osgood curve Parallel (curve) Parallel transport Parametric curve Bézier curve Spline (mathematics)...
- osculating circle at the vertex of the curve, it has third-order contact with the curve. The curve has two inflection points, at the points ( ± 2 a 3...
- osculate is from Latin osculari 'to kiss'; an osculating plane is thus a plane which "kisses" a submanifold. The osculating plane in the geometry of Euclidean...
- a plane curve. In other words, if the torsion is zero, the curve lies completely in the same osculating plane (there is only one osculating plane for...
- the center of curvature of a curve is a point located at a distance from the curve curvature is zero. The osculating circle to the curve is centered...