Difference between revisions of "Orthogonal net"
From Encyclopedia of Mathematics
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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]]). | ||
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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> R.S. Millman, G.D. Parker, "Elements of differential geometry" , Prentice-Hall (1977) pp. 101</TD></TR></table> | + | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> R.S. Millman, G.D. Parker, "Elements of differential geometry" , Prentice-Hall (1977) pp. 101 {{ZBL|0425.53001}}</TD></TR></table> |
Latest revision as of 07:34, 17 March 2023
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).
References
| [a1] | R.S. Millman, G.D. Parker, "Elements of differential geometry" , Prentice-Hall (1977) pp. 101 Zbl 0425.53001 |
How to Cite This Entry:
Orthogonal net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Orthogonal_net&oldid=32400
Orthogonal net. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Orthogonal_net&oldid=32400
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article