"The first investigation of any importance is that of the elastic line or elastica by James Bernoulli in 1705, in which the resistance of a bent rod is assumed to arise from the extension and contraction of its longitudinal filaments, and the equation of the curve assumed by the axis is formed. This equation practically involves the result that the resistance to bending is a couple proportional to the of the rod when bent, a result which was assumed by Euler in his later treatment of the problems of the elastica, and of the vibrations of thin rods."
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A Treatise on the Mathematical Theory of Elasticity (1906) first published in two volumes (1892, 1893)
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Jacob Bernoulli
(January 6, 1655- August 16, 1705) also known as James or Jacques; was one of the many prominent mathematicians in the . He was an early proponent of Leibnizian calculus and had sided with Gottfried Wilhelm Leibniz during the . He is known for his numerous contributions to calculus, and along with his brother , was one of the founders of the . He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the
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