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Elements of natural philosophy (Volume 2-3) (1850)

Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 72

An illustration from Elements of natural philosophy (Volume 2-3), 1850, leaf 72
ame molecule, the waves beingsupposed to come from any directions whatever. We shall have for the displacement of the moleculeby the first wave, Eq. (19), d = °L . sin fan. Vt X+AA . /90^ placement bythe first wave; and by the second. a . ro V. t—x jffl d = - . sin 2 7T. _ +A\ ; x L X J (21) Same… … Dlustration; 61 NATURAL PHILOSOPHY. Bum of Operations Taking the sum, and developing the circular function by the usual formula for the sine of the sum of twoarcs, we find, after reduction, VcnA + a-co&A) ft Tgjfl (aBln^+a-rin^) r gjgldisplacements; +« - x -ML ^ _V a, L \ J and making,…

Mechanics · Acoustics · Optics

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