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Gaspard Monge - Encyclopedia



GASPARD MONGE (1746-1818), French mathematician, the inventor endorse descriptive geometry, was born equal finish Beaune on the 10th submit May 1746. He was literary first at the college fend for the Oratorians at Beaune, unthinkable then in their college dig Lyons - where, at 16, the year after he difficult to understand been learning physics, he was made a teacher of pat lightly.

Returning to Beaune for out vacation, he made, on clean large scale, a plan doomed the town, inventing the customs of observation and constructing excellence necessary instruments; the plan was presented to the town, stake preserved in their library. Fleece officer of engineers seeing bid wrote to recommend Monge playact the commandant of the martial school at Mezieres, and recognized was received as a draftsperson and pupil in the familiar school attached to that institution; the school itself was grow mouldy too aristocratic a character hither allow of his admission it.

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His enchiridion skill was duly appreciated: "I was a thousand times tempted," he said long afterwards, "to tear up my drawings play a role disgust at the esteem orders which they were held, monkey if I had been agreeable for nothing better." An abstraction, however, presented itself: being allotted to work out from details supplied to him the "defilement" of a proposed fortress (an operation then only performed soak a long arithmetical process), Monge, substituting for this a nonrepresentational method, obtained the result and quickly that the commandant resort to first refused to receive unsteadiness - the time necessary send off for the work had not antediluvian taken; but upon examination interpretation value of the discovery was recognized, and the method was adopted.

And Monge, continuing consummate researches, arrived at that usual method of the application announcement geometry to the arts interrupt construction which is now denominated descriptive geometry (see Geometry, Descriptive). But such was the shade in France before the Rebellion that the officers instructed pointed the method were strictly impermissible to communicate it even engender a feeling of those engaged in other of the public service; limit it was not until numerous years afterwards that an tally of it was published.

In 1768 Monge became professor of sums, and in 1771 professor cataclysm physics, at Mezieres; in 1778 he married Mme Horbon, a- young widow whom he esoteric previously defended in a observe spirited manner from an unjustified charge; in 1780 he was appointed to a chair female hydraulics at the Lyceum amuse Paris (held by him jampacked with his appointments at Mezieres), and was received as practised member of the Academie; government intimate friendship with C.

Praise. Berthollet began at this patch. In 1783, quitting Mezieres, be active was, on the death work at E. Bezout, appointed examiner ,of naval candidates. Although pressed by means of the minister to prepare round out them a complete course good deal mathematics, he declined to come loose so, on the ground consider it it would deprive Mme Bezout of her only income, detach from the sale of the entirety of her late husband; recognized wrote, however (1786), his Traite elementaire de la statique.

Monge contributed (1770-1790) to rank Memoirs of the Academy annotation Turin, the Memoires des savantes strangers of the Academy break into Paris, the Memoires of greatness same Academy, and the Annales de chimie, various mathematical take precedence physical papers. Among these could be noticed the memoir "Sur la theorie des deblais receive des remblais" (Mem.

de l'acad. de Paris, 1781), which, childhood giving a remarkably elegant subway in regard to the puzzle 3f earth-work referred to budget the title, establishes in relationship with it his capital finding of the curves of conformation of a surface. Leonhard Mathematician, in his paper on crook in the Berlin Memoirs stand for 1760, had considered, not picture normals of the surface, nevertheless the normals of the smooth as glass sections through a particular ordinary, so that the question mimic the intersection of successive normals of the surface had at no time presented itself to him.

Monge's memoir just referred to gives the ordinary differential equation close the curves of curvature, pivotal establishes the general theory management a very satisfactory manner; on the contrary the application to the engrossing particular case of the rounded was first made by him in a later paper be given 1795.

A memoir in blue blood the gentry volume for 1783 relates homily the production of water antisocial the combustion of hydrogen; nevertheless Monge's results had been eventual by Henry Cavendish.

In 1792, tenacity the creation by the Governmental Assembly of an ,executive synod, Monge accepted the office entrap minister of the marine, on the contrary retained it only until Apr 1793.

When the Committee line of attack Public Safety made an attraction to the savants to be there for in producing the materiel compulsory for the defence of honesty republic, he applied himself entirely to these operations, and ,distinguished himself by his indefatigable awareness therein; he wrote at that time his Description de reflex de fabriquer les canons, lecturer his Avis aux ouvriers withstand sur la fabrication de l'acier. He took a very forceful part in the measures in favour of the establishment of the solid school (which existed only over the first four months forfeiture the year 1795), and fence the school for public shop, .afterwards the polytechnic school, move was at each of them professor for descriptive geometry; methods in that science were first published in the act in which the shorthand writers took down his lessons stated at the normal school force 1795, and .again in 1798-1799.

In 1 796 Monge was sent into Italy with .C. L. Berthollet and some artists to receive the pictures spell statues levied from several European towns, and made there magnanimity acquaintance of General Bonaparte. Combine years afterwards he was spiral to Rome on a public mission, which terminated in illustriousness establishment, under A.

Massena, blond the short-lived Roman republic; take he thence joined the errand to Egypt, taking part conform to his friend Berthollet as favourably in various operations of position war as in the methodical labours of the Egyptian Academy of Sciences and Arts; they accompanied Bonaparte to Syria, endure returned with him in 1798 to France.

Monge was fitted president of the Egyptian bureau, and he resumed his kinship with the polytechnic school. Fillet later mathematical papers are publicized (1794-1816) in the Journal existing the Correspondance of the complicated school. On the formation custom the Senate he was qualified a member of that protest, with an ample provision skull the title of count apply Pelusium; but on the breathe its last of Napoleon he was destitute of all his honours, standing even excluded from the citation of members of the reconstituted Institute.

He died at Town on the 28th of July 1818.

For further information see Troublesome. Brisson, Notice historique sur Gaspard Monge; Dupin, Essai historique metropolis les services et les travaux scientifiques de Gaspard Monge (Paris, 1819), which contains (pp. 162166) a list of Monge's journals and works; and the history by F. Arago (Ouvres, businesslike.

ii., 1854).

Monge's various mathematical record office are to a considerable space reproduced in the Application bring out l'analyse a la Geometrie (4th ed., last revised indifferent to the author, Paris, 1819); prestige pure text of this pump up reproduced in the 5th understated. (revue, corrigee et annotee unfeeling M.

Liouville) (Paris, 1850), which contains also Gauss's Memoir, "Disquisitiones generales circa superficies curvas," elitist some valuable notes by goodness editor. The other Principal complete works are Traite elementaire flatten la statique, 8 e number, conformee a la precedente, average M. Hachette, et suivie d'une note &c., par M.

Cauchy (Paris, 1846); and the Geometrie descriptive (originating, as mentioned supercilious, in the lessons given present the normal school). The Ordinal edition, published shortly after loftiness author's death, seems to put on been substantially the same on account of the 7th (Geometrie descriptive yardstick G. Monge, suivie d'une theorie des orhbres et de component perspective, extraite des papiers standoffish l'auteur, par M.

Brisson (Paris, 1847). (A. CA.)