"Yet these efforts are far from having been in vain. They have given rise to the many beautiful theorems... on the formation of equations, on the character and signs of the roots, on the transformation of a given equation into others of which the roots may be formed at pleasure from the roots of the given equation, and finally, to the beautiful considerations concerning the metaphysics of the resolution of equations from which the most direct method of arriving at their solution, when possible, has resulted."
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Lectures on Elementary Mathematics
Lectures on Elementary Mathematics (1898) is the earliest English translation of Joseph Louis Lagrange's 1795 publication, Leçons élémentaires sur les mathematiques, containing a series of lectures delivered the same year at the Ecole Normale. The work was translated and edited by Thomas J. McCormack, and a second edition, from which the following quotes are taken, appeared in 1901.
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