| 单词 | witch of agnesi |
| 释义 | > as lemmaswitch of Agnesi 8. Mathematics. More fully witch of Agnesi. A bell-shaped plane curve symmetrical about the y axis and that approaches the x axis as an asymptote, constructed geometrically from a circle whose base is the origin.The equation of the curve is 8a3/ x2+ 4a2, where a is the radius of the circle. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > other quadratrix1656 section1665 family1705 semiparabola1728 tractrix1728 witcha1760 tractory1820 sinusoid1823 tractatrix1828 indicatrix1841 hodograph1847 tetrazomal1867 space curve1875 horograph1879 hypercycle1889 Peano curve1900 multiple arc1967 unknot1971 fractal1975 analemma1978 a1760 J. Colson tr. M. G. Agnesi Analyt. Inst. (1801) I. i. v. 222 The equation of the curve to be described, which is vulgarly called the Witch [It. che dicesi la Versiera]. 1875 B. Williamson Elem. Treat. Integral Calculus (rev. ed.) vii. 173 Find the area between the witch of Agnesi xy2 = 4a2 (2a − x) and its asymptote. 1901 A. B. Basset Elem. Treat. Cubic & Quartic Curves 96 Then the locus of P is a cubic called the witch of Agnesi. 2020 T. Norando & P. Magnaghi-Delfino in P. Magnaghi-Delfino et al. Faces Geom. 162 In terms of the witch itself, this means that the coordinate of the centroid of the region between the curve and its asymptotic line is not well defined, despite this region's symmetry and finite area. < as lemmas |
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