| 单词 | first polar |
| 释义 | > as lemmasfirst polar first polar n. Mathematics a curve of degree n related to a given curve C of degree n + 1 and a point P by containing every point of C whose tangent passes through P.Usually called simply a polar. The first polar of a circle is a straight line: cf. polar n. 2. In mathematical terms: (of a point (a0, a1,…an) with respect to a curve described by the homogeneous function f(x0, x1,…xn) = 0) the curve represented by the equation Σiai ∂f/∂xi = 0. ΘΚΠ the world > relative properties > number > geometry > point > [noun] > on a curve first polar1836 umbilic1843 spinode1852 stationary point1856 ineunt1859 triple point1872 tacnode-cusp1873 1836 A. De Morgan Differential & Integral Calculus 414 We can take points in the first polar line to join with P. 1877 Encycl. Brit. VI. 720/2 If the given curve has a node, the first polar passes through this node,..and..if the curve has a cusp, the first polar passes through the cusp, touching the curve there. 2009 F. Sullivan tr. M. C. Beltrametti et al. Lect. Curves, Surfaces & Projective Varieties v. 138 The first polar of each of these points with respect to X passes through Q. < as lemmas |
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