lemniscaten.

/lɛmˈnɪskət/

Etymology: < modern Latin lēmniscāta, feminine of Latin lēmniscātus adjective, adorned with ribbons, < lēmniscus : see lemnisc n.

Mathematics.

a. Geometry. The designation of certain closed curves, having a general resemblance to the figure 8.

ΚΠ

1781 A. Rees Chambers's Cycl. (new ed.) III Lemnisicate [sic].

1801 Encycl. Brit. Suppl. II. 74/2 Lemniscate.

1837 W. Whewell Hist. Inductive Sci. III. xv. v. 218 The rings and lemniscates produced by dipolarizing crystals.

1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ii. 42 The curve being then known as the lemniscate of Bernouilli.

b. Algebra. Used attributively in lemniscate function, one of a class of elliptic functions first investigated by Gauss (Werke III. 404), in connection with formulæ relating to the properties of this class of curves.

ΚΠ

1879 A. Cayley Coll. Papers (1896) XI. 65 The formulæ given by Gauss..for the lemniscate functions sin lemn (a±b) and cos lemn (a±b).

1891 A. Cayley Coll. Papers (1897) XIII. 191 The elliptic function snl of the lemniscate form.

This entry has not yet been fully updated (first published 1902; most recently modified version published online September 2018).

单词	lemniscate
释义	lemniscaten. /lɛmˈnɪskət/ Etymology: < modern Latin lēmniscāta, feminine of Latin lēmniscātus adjective, adorned with ribbons, < lēmniscus : see lemnisc n. Mathematics. a. Geometry. The designation of certain closed curves, having a general resemblance to the figure 8. ΚΠ 1781 A. Rees Chambers's Cycl. (new ed.) III Lemnisicate [sic]. 1801 Encycl. Brit. Suppl. II. 74/2 Lemniscate. 1837 W. Whewell Hist. Inductive Sci. III. xv. v. 218 The rings and lemniscates produced by dipolarizing crystals. 1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ii. 42 The curve being then known as the lemniscate of Bernouilli. b. Algebra. Used attributively in lemniscate function, one of a class of elliptic functions first investigated by Gauss (Werke III. 404), in connection with formulæ relating to the properties of this class of curves. ΚΠ 1879 A. Cayley Coll. Papers (1896) XI. 65 The formulæ given by Gauss..for the lemniscate functions sin lemn (a±b) and cos lemn (a±b). 1891 A. Cayley Coll. Papers (1897) XIII. 191 The elliptic function snl of the lemniscate form. This entry has not yet been fully updated (first published 1902; most recently modified version published online September 2018). < n.1781
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