#Voyage en france dupin free

He tirelessly encouraged the establishment of schools and libraries, the founding of savings banks, the construction of roads and canals, and the use of steam power. In 1834 he was minister of marine affairs, in 1838 he became a peer, and in 1852 he was appointed to the senate. In 1828 Dupin was elected deputy for Tarn, and he continued in politics until 1870. In 1840 he introduced what is now called the affine normal of a surface at a point. He also gave a more complete theory of the cyclids as the envelopes of the spheres tangent to three given spheres and discussed floating bodies. Here Dupin, improving on a theorem of Malus’s (1807), stated that a normal congruence remains normal after reflection and refraction. In the Applications we find an elaboration of Monge’s theory of déblais et remblais-and, hence, of congruences of straight lines, with applications to geometrical optics. A particular case Dupin investigated consisted of confocal quadrics. The Développements contains many contributions to differential geometry, notably the introduction of conjugate and asymptotic lines on a surface, the so-called indicatrix of Dupin, and “Dupin’s theorem,” that three families of orthogonal surfaces intersect in the lines of curvature. Many of Dupin’s lectures on industry and the arts were published in Géométrie et mécanique des arts et métiers et des beaux arts (1825) his Sur les forces productives et commerciales de France appeared two years later. His Applications de géométrie et de mécanique (1822) was a continuation of the Développements but placed greater stress on applications.

#Voyage en france dupin free

His free public lectures, dealing with mathematics and mechanics and their industrial applications, became very popular. Settling down to a life of teaching and public service, Dupin accepted the position of professor of mechanics at the Paris Conservatoire des Arts et Métiers, a position he held until 1854. The results were published in Voyages dans la Grande Bretagne entrepris relativement aux services publics de la guerre, de la marine. In 1816, after some difficulty, Dupin was allowed to visit Great Britain to study its arsenals and other technical installations. That year he published his Développements de géométrie. At the Toulon shipyard in 1813, Dupin founded a maritime museum that became a model for others, such as that at the Louvre. In 1810, on his way back to France, he was detained by illness at Pisa and during his convalescence he edited a posthumous book by his friend Leopold Vacca Berlinghierri, Examen des travaux de César au siège d’Alexia (Paris, 1812).

He restored the port, did fundamental research on the resistance of materials and the differential geometry of surfaces, and became secretary of the newly founded Ionian Academy. After assignments in Antwerp, Genoa, and Toulon, he was placed in charge of the damaged naval arsenal on Corfu in 1807. In 1801, under the guidance of his teacher Gaspard Monge, he had made his first discovery, the cyclid (of Dupin). The second of three sons, Dupin graduated in 1803 from the École Polytechnique in Paris as a naval engineer. His mother was Cathérine Agnès Dupin (her maiden name was also Dupin). Paris, France, 18 January 1873)ĭupin grew up in his native Nivernais, where his father, Charles-André Dupin, was a lawyer and legislator.