Normal plane (geometry)
The curvature of the normal section is called the normal curvature.
If the surface is bow or cylinder shaped the maximum and the minimum of these curvatures are the principal curvatures.
If the surface is saddle shaped the maxima of both sides are the principal curvatures.
The product of the principal curvatures is the Gaussian curvature of the surface. (negative for saddle shaped surfaces)
- Ruane, Irving Adler, with diagrams by Ruth Adler ; introduction to the Dover edition by Peter (2012). A new look at geometry (Dover ed.). Mineola, N.Y.: Dover Publications. p. 273. ISBN 0486498514.
- Irving Adler (2013-08-30). A New Look at Geometry. Books.google.com.br. p. 273. Retrieved 2016-04-01.
- Mary Gray (1997-12-29). Modern Differential Geometry of Curves and Surfaces with Mathematica, Second ... Books.google.com.br. p. 365. Retrieved 2016-04-01.
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