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...
- 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...
- 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...
- is the reciprocal of the radius of an osculating circle). Angle and curvature constraints are most often added to the ends of a curve, and in such cases...
- 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...
- invariant of hypersurfaces osculating circle osculating curve osculating plane osculating orbit osculating sphere The obsolete Quinarian system of biological...
- The osculating circle to the curve is centered at the centre of curvature. Cauchy defined the center of curvature C as the intersection point of two infinitely...
- Tait–Kneser theorem states that, if a smooth plane curve has monotonic curvature, then the osculating circles of the curve are disjoint and nested within each...