Math 2.0

Differential geometry Curves in the plane and in space Concept

Osculating circle

Summary

The osculating circle of a curve at a point is the circle that fits the curve best at that point. It touches the curve there, with the same tangent line and the same curvature. Its radius is the radius of curvature 1/κ1/\kappa, and its centre is the centre of curvature.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Osculating_circle
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Changed2 November 2026

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