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Let M subset R^3 be a regular surface and u_(p) a unit tangent vector to M, and let Pi(u_(p),N(p)) be the plane determined by u_(p) and the normal to the surface N(p). Then the normal section of M is defined as the intersection of Pi(u_(p),N(p)) and M.

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References

Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 365, 1997.

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Weisstein, Eric W. "Normal Section." FromMathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NormalSection.html

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