asymptotic curve

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asymptotic curve

[ā‚sim′täd·ik ′kərv]
(mathematics)
A curve on a surface whose osculating plane at each point is the same as the tangent plane to the surface.
References in periodicals archive ?
P]) = 0, then XP is called the asymptotic direction.
From the definitions of the conjugate vectors, the asymptotic directions and the equation II*(X; Y) = II(X; Y), we say the conjugate vectors and asymptotic directions in M are also the conjugate vectors and asymptotic directions in M*.
iii) Asymptotic directions in M are also the asymptotic directions in M*.