| 释义 |
lemniscate Math.|lɛmˈnɪskət|
[ad. mod.L. lēmniscāta, fem. of L. lēmniscātus adj., adorned with ribbons, f. lēmniscus: see lemnisc.]
a. Geom. The designation of certain closed curves, having a general resemblance to the figure 8.
b. Alg. Used attrib. in lemniscate function, one of a class of elliptic functions first investigated by Gauss (Werke III. 404), in connexion with formulæ relating to the properties of this class of curves.
1781Chambers' Cycl. (ed. Rees), Lemnisicate [sic]. 1801Encycl. Brit. (ed. 3) Suppl. II. 74/2 Lemniscate. 1837Whewell Hist. Induct. Sci. xv. v. 218 The rings and lemniscates produced by dipolarizing crystals. 1873G. Salmon Higher Plane Curves ii. (1879) 44 The curve being then known as the lemniscate of Bernouilli. 1879Cayley in Coll. Papers (1896) XI. 65 The formulæ given by Gauss..for the lemniscate functions sin lemn (a{pm}b) and cos lemn (a{pm}b). 1891― ibid. (1897) XIII. 191 The elliptic function snl of the lemniscate form. |