| 单词 | addition formula |
| 释义 | > as lemmasaddition formula addition formula n. Mathematics an equation in which one quantity is expressed in terms of a sum of other quantities; spec. any of several standard formulae which express a trigonometrical function of a sum or a difference of angles as a sum or difference of products of similar functions of the individual angles.An example of a trigonometrical addition formula is sin (A + B) = sin A cos B + cos A sin B. ΚΠ 1879 Proc. Royal Soc. 29 6 Qi is the biaxal harmonic of the ith degree,..which may therefore be expressed in the usual way, according to Laplace's addition formula. 1931 Proc. National Acad. Sci. U.S.A. 17 564 An interesting addition formula for the function h0(x) is obtained by making use of the series e−y coth a = k0(y) − k2(y)e−2z + k4(y)e−4z − [etc.]. 1942 Amer. Math. Monthly 49 326 Cauchy's derivation of the addition formulas in trigonometry..is general and shorter than the standard proof given in most texts. 1999 I. M. Gelfand & M. Saul Trigonometry (2001) vi.136 Ptolemy's theorem implies Ptolemy's identity, which implies the addition formula for sines. < as lemmas |
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