A History of the Progress of the Calculus of Variations During the Nineteenth Century

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Macmillan and Company, 1861 - Calculus of variations - 532 pages

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Page 40 - Find an expression for the area of a triangle in terms of the coordinates of its angular points.
Page 229 - ... nor a minimum exists. We have already intimated in Art. 5, that Legendre had arrived at some results on these points, and that Lagrange had shewn that further investigations were required in order to ensure the accuracy of Legendre's conclusions. The requisite investigations were supplied by Jacobi in 1837, and the memoir which Jacobi then published has given rise to an extensive series of commentaries and developments. Before however we proceed to Jacobi's investigations, we will give an analysis...

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