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Fundamental Theorem of Plane Curves


Two unit-speed plane curves which have the same curvature differ only by a Euclidean motion.


See also

Fundamental Theorem of Space Curves

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References

Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 136-138, 1997.

Referenced on Wolfram|Alpha

Fundamental Theorem of Plane Curves

Cite this as:

Weisstein, Eric W. "Fundamental Theorem of Plane Curves." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FundamentalTheoremofPlaneCurves.html

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