# Apolar nets

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Two nets given in the same domain $G$ of a two-dimensional manifold, where at each point $x\in G$ the tangent directions of one net harmonically subdivide the tangent directions of the other. Thus, for instance, the asymptotic net on a surface in a Euclidean space is apolar with respect to the net of curvature lines (cf. Curvature lines, net of).

How to Cite This Entry:
Apolar nets. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Apolar_nets&oldid=33094
This article was adapted from an original article by V.T. Bazylev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article