| 单词 | elliptic integrals |
| 释义 | > as lemmaselliptic integrals 2. elliptic integrals: a class of integrals discovered by Legendre in 1786, so named because their discovery was the result of the investigation of elliptic arcs. elliptic functions: certain specific functions of these integrals. (Formerly the term elliptic functions was applied to what are now called elliptic integrals.) ΚΠ 1845 Penny Cycl. Suppl. I. (at cited word) A large class of integrals closely related to and containing among them the expression for the arc of an ellipse have received the name of Elliptic functions. 1876 A. Cayley Elem. Treat. Elliptic Functions 8 sn u is a sort of sine function, and cn u, dn u are sorts of cosine-functions of u; these are called Elliptic Functions. 1881 Williamson in Encycl. Brit. XIII. 63 The epithet ‘elliptic’ applied to these integrals is purely conventional, arising from the connexion of one of them with the arc of an ellipse. < as lemmas |
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