L-Amp Lagrangian #Haiku #Poetry

A haiku written by Lee Sonogan

Sect 1 4 DAlemberts Principle Lagranges Eqtns Virtual

Fosse would say that it’s important to trust silence. He very much liked the use of the tacit, or silent, count, where nothing is happening. He also liked percussion. His is a world of angular movement and mystery, quiet, semi-taciturn and percussive. – Ann Reinking

Inductance cuspate,

Azimuthal luminous,

Tensor angulate.

Besides Lagrange’s early printed works, his correspondence with Euler allows us to form some impression of the stimulating effect which the principle of least action had on Lagrange’s mind at the beginning of his career. Lagrange’s correspondence with Euler extends from 1754… to 1775… Already in 1754 Lagrange announces that he has made “some observations about the maxima and minima which are in the actions of nature.” In a letter of August 12, 1755 Lagrange informs Euler that he had a new and simpler method of solving isoperimetrical problems and gives a full statement of it. This discovery of what was afterwards called “the calculus of variations” certainly gave the principle of least action an additional attractiveness to Lagrange; he speaks in a letter of May 19, 1756, of his meditations “on the application of the principle of least action to the whole of dynamics.” Lagrange’s interest in the principle of least action seems to have evaporated when he observed that, when developed, the integrand is the variational form of d’Alembert’s principle, and that it is simpler and equally effective to start with the equations of motion divorced from the integration. This is Lagrange’s point of view in 1788. The earliest date at which this change in point of view is… 1764. In a letter of Sept 15, 1782, to Laplace, Lagrange says that he has almost finished a mechanical treatise uniquely founded on “the principle or formula” given in… his memoir of 1780 on the libration of the moon. – Philip Jourdain




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