"[A]nalysts first divide equations... into two principal classes, according as they contain functions of only the first three of the [five] couples, or as they include also either exponential or circular functions. Though the names of algebraic and s given to these principal groups are inapt, the division between the corresponding equations is real enough, insofar as that the resolution of equations containing the transcendental functions is more difficult than that of s. Hence the study of the first is extremely imperfect, and our analytical methods relate almost exclusively to the elaboration of the second."
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The Positive Philosophy of Auguste Comte
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