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The analytical theory of heat (1878)

Fourier, Jean Baptiste Joseph, baron, 1768-1830 · Cambridge [Eng.] : University Press · leaf 235

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202 THEORY OF HEAT. [CHAP. III. We might change the limits of the integrals and write /•2/r T+T r-n I or I instead of I ; J 0 J _7T JO but in each of these two cases it would be necessary to substitutein the first member TT<£ (x) for JTT<£ (x). 233. The function <£ (x) developed in cosines… … metrically on each side of the axis of y, in the interval from— TT to +TT (see fig. 11) ; this condition is expressed thus, The line which represents the function i|r (x) is, on the contrary,formed in the same interval of two opposed arcs, which is what isexpressed by the equation Any function…

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