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Elliptic Functions - An Elementary Text-Book for Students of Mathematics

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The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler.

In 1761 he gave to the world the complete integration of an equation of two terms, each an elliptic function of the first or second order, n…