| 单词 | parabolic point |
| 释义 | > as lemmasparabolic point parabolic point n. Geometry (originally) a point on a surface at which the indicatrix is a parabola, i.e. where a plane parallel to, and an infinitesimal distance from, the tangent plane at that point intersects the surface in a parabola; (now) a point on a surface at which the Gaussian curvature is zero. ΚΠ 1866 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art II. 799/2 Parabolic point, a point on a surface at which the indicatrix is a parabola... The parabolic points..lie on a non-plane curve of the 4n(n−2)th order. The tangent plane at a parabolic point is of the kind called stationary. 1948 Amer. Jrnl. Math. 70 333 (title) Differential geometry of a surface at a parabolic point. 1990 Proc. London Math. Soc. 60 412 (0, 0, 0) is not a parabolic point of M..however the boundary inflects the critical set. < as lemmas |
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