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LANDEN, JOHN (1719–1790)

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Originally appearing in Volume V16, Page 154 of the 1911 Encyclopedia Britannica.
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LANDEN, See also:JOHN (1719–1790) , See also:English mathematician, was See also:born at Peakirk near See also:Peterborough in See also:Northamptonshire on the 23rd of See also:January 1719, and died on the 15th of January 1790 at See also:Milton in the same See also:county. He lived a very retired See also:life, and saw little or nothing of society; when he did mingle in it, his dogmatism and pugnacity caused him to be generally shunned. In 1762 he was appointed See also:agent to the See also:Earl See also:Fitzwilliam, and held that See also:office to within two years of his See also:death. He was first known as a mathematician by his essays in the Ladies' See also:Diary for 1744. In 1766 he was elected a See also:fellow of the Royal Society. He was well acquainted with the See also:works of the mathematicians of his own See also:time, and has been called the " English d'See also:Alembert." In his Discourse on the " Residual See also:Analysis," he proposes to avoid the metaphysical difficulties of the method of fluxions by a purely algebraical method. The See also:idea may be compared with that of See also:Joseph See also:Louis See also:Lagrange's Calcul See also:des Fonctions. His memoir (1775) on the rotatory See also:motion of a See also:body contains (as the author was aware) conclusions at variance with those arrived at by See also:Jean le Rond, d'Alembert and Leonhard See also:Euler in their researches on the same subject. He reproduces and further develops and defends his own views in his Mathematical See also:Memoirs, and in his See also:paper in the Philosophical Transactions for 1785. But Landen's See also:capital See also:discovery is that of the theorem known by his name (obtained in its See also:complete See also:form in the memoir of 1775, and reproduced in the first See also:volume of the Mathematical Memoirs) for the expression of the arc of an See also:hyperbola in terms of two elliptic arcs. His researches on elliptic functions are of considerable elegance, but their See also:great merit lies in the stimulating effect which they had on later mathematicians. He also showed that the roots of a cubic See also:equation can be derived by means of the infinitesimal calculus.

The See also:

list of his writings is as follows:—Ladies' Diary, various communications (1744–1760); papers in the Phil. Trans. (1754, 1760, 1768, 1771, 1775, 1777, 1785); Mathematical Lucubrations (1755); A Discourse concerning the Residual Analysis (1758); The Residual Analysis, See also:book i. (1764); Animadversions on Dr See also:Stewart's Method of computing the See also:Sun's Distance from the See also:Earth (1771) ; Mathematical Memoirs (1780, 1789).

End of Article: LANDEN, JOHN (1719–1790)

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