Applications of Elliptic Functions

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. L'etude approfondie de la nature est la source la plus fdconde des decouvertes mathematiques.<br><br>Non seulement cette &ude, en offrant aux recherches un but determine, a l'avantage d'exclure les questions vagues et les calculs sans issue; elle est encore un moyen assurGBP de former I'Analyse elle-meme, et d'en d&ouvrir les elements qu'il nous importe le plus de connaitre et que cette science doit toujours conserver.<br><br>Ces Elements fondamentaux sont ceux qui se reproduisent dans tous les effets naturels. (Fourier.)<br><br>These words of Fourier are taken as the text of the present treatise, which is addressed principally to the student of Applied Mathematics, who will in general acquire his mathematical equipment as he wants it for the solution of some definite actual problem; and it is in the interest of such students that the following Applications of Elliptic Functions have been brought together, to enable them to see how the purely analytical formulas may be considered to arise in the discussion of definite physical questions.