Joseph-Louis Lagrange

Joseph-Louis Lagrange (/ləˈɡrɑːndʒ/ or /ləˈɡreɪndʒ/;French: [laˈgrɑ̃ʒ]), born Giuseppe Lodovico Lagrangia or Giuseppe Ludovico De la Grange Tournier (also reported as Giuseppe Luigi Lagrange or Lagrangia) (25 January 1736 – 10 April 1813), was an Italian Enlightenment Era mathematician and astronomer. He made significant contributions to the fields of analysis, number theory, and both classical and celestial mechanics.

In 1766, on the recommendation of Euler and d'Alembert, Lagrange succeeded Euler as the director of mathematics at the Prussian Academy of Sciences in Berlin, Prussia, where he stayed for over twenty years, producing volumes of work and winning several prizes of the French Academy of Sciences. Lagrange's treatise on analytical mechanics (Mécanique analytique, 4. ed., 2 vols. Paris: Gauthier-Villars et fils, 1888–89), written in Berlin and first published in 1788, offered the most comprehensive treatment of classical mechanics since Newton and formed a basis for the development of mathematical physics in the nineteenth century.

LaGrange, Indiana

LaGrange is a town in and the county seat of LaGrange County, Indiana, United States. The population was 2,625 at the 2010 census.

History

LaGrange was laid out and platted in 1836. It took its name from LaGrange County.

LaGrange County's initial settlers were Yankee immigrants, that is to say they were from New England and were descended from the English Puritans who settled that region in the colonial era. They were part of a wave of New England settlers moving west into what was then the Northwest Territory after the completion of the Erie Canal. The original settlers in LaGrange County specifically hailed from the Massachusetts counties of Worcester County, Suffolk County and Berkshire County; the Connecticut counties of Hartford County and Windham County as well as the Connecticut towns of Sherman, Lebanon and Fairfield; and from the Vermont towns of Burlington, Brookfield, Huntington and Grand Isle. They were mainly members of the Congregational Church, but as a result of the Second Great Awakening many became Baptists and many also converted to Pentecostalism and Methodism. When they arrived in what is now LaGrange County, there was nothing but virgin forest and wild prairie, the New England settlers cleared roads, built farms, constructed churches, erected government buildings, and established post routes. As a result of this migration, LaGrange County was culturally continuous with early New England culture for many years.

Lagrange (crater)

Lagrange is a lunar crater that is attached to the northwestern rim of the crater Piazzi. It lies near the southwestern limb of the Moon, and the appearance is oblong due to foreshortening. To the northwest of this feature is the Montes Cordillera, a ring-shaped mountain range that surrounds the immense Mare Orientale impact basin.

The southwestern half of this walled plain has been heavily damaged by the mass of ejecta from Mare Orientale. This material forms an irregular striation in the surface that is radial to the Mare Orientale basin. As a result, only the northeast part of the crater is somewhat intact; the remainder just forms an uneven depression in the surface that is covered in long ridges and gouges. The most notable feature in this section is the small bowl-shaped crater Lagrange D.

The surviving section of the rim is worn and eroded, forming an arc-shaped range of low ridges in the surface. The interior floor in this section is relatively level, but even this surface contains traces of the Mare Orientale ejecta.