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Difference between revisions of "Orthogonal net"

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A net on a surface for which the two families of tangents are orthogonal to each other. Examples of an orthogonal net include an [[Asymptotic net|asymptotic net]] on a minimal surface and a net consisting of curvature lines (see [[Curvature lines, net of|Curvature lines, net of]]).
 
A net on a surface for which the two families of tangents are orthogonal to each other. Examples of an orthogonal net include an [[Asymptotic net|asymptotic net]] on a minimal surface and a net consisting of curvature lines (see [[Curvature lines, net of|Curvature lines, net of]]).
  

Latest revision as of 22:01, 7 July 2014

A net on a surface for which the two families of tangents are orthogonal to each other. Examples of an orthogonal net include an asymptotic net on a minimal surface and a net consisting of curvature lines (see Curvature lines, net of).


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References

[a1] R.S. Millman, G.D. Parker, "Elements of differential geometry" , Prentice-Hall (1977) pp. 101
How to Cite This Entry:
Orthogonal net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Orthogonal_net&oldid=15259
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article