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 15th century, St Seine-l’Abbaye, a fine Gothic abbey church, and Saulieu, a Romanesque abbey church of the 11th century. The château of Bussy Rabutin (at Bussy-le-Grand), founded in the 12th century, has an interesting collection of pictures made by Roger de Rabutin, comte de Bussy, who also rebuilt the château. Montbard, the birthplace of the naturalist Buffon, has a keep of the 14th century and other remains of a castle of the dukes of Burgundy. The remarkable Renaissance chapel (1536) of Pagny-le-Château, belonging to the château destroyed in 1768, contains the tomb of Jean de Vienne (d. 1455) and that of Jean de Longwy (d. 1460) and Jeanne de Vienne (d. 1472), with alabaster effigies. At Fontenay, near Marmagne, a paper-works occupies the buildings of a well-preserved Cistercian abbey of the 12th century. At Vertault there are remains of a theatre and other buildings marking the site of the Gallo-Roman town of Vertilium.

COTES, ROGER (1682–1716), English mathematician and philosopher, was born on the 10th of July 1682 at Burbage, Leicestershire, of which place his father, the Rev. Robert Cotes, was rector. He was educated at Leicester school, and afterward at St Paul’s school, London. Proceeding to Trinity College, Cambridge, in 1699, he obtained a fellowship in 1705, and in the following year was appointed Plumian professor of astronomy and experimental philosophy in the university of Cambridge. He took orders in 1713; and the same year, at the request of Dr Richard Bentley, he published the second edition of Newton’s Principia with an original preface. He died on the 5th of June 1716, leaving unfinished a series of elaborate researches on optics, and a large amount of unpublished manuscript. He contributed two memoirs to the Philosophical Transactions, one, “Logometria,” which discusses the calculation of logarithms and certain applications of the infinitesimal calculus, the other, a “Description of the great fiery meteor seen on March 6th, 1716.” After his death his papers were collected and published by his cousin and successor in the Plumian chair, Dr Robert Smith, under the title Harmonia Mensurarum (1722). This work included the “Logometria,” the trigonometrical theorem known as “Cotes’ Theorem on the Circle” (see ), his theorem on harmonic means, subsequently developed by Colin Maclaurin, and a discussion of the curves known as “Cotes’ Spirals,” which occur as the path of a particle described under the influence of a central force varying inversely as the cube of the distance. In 1738 Dr Robert Smith published Cotes’ Hydrostatical and Pneumatical Lectures, a work which was held in great estimation. The exceptional genius of Cotes earned encomiums from both his contemporaries and successors; Sir Isaac Newton said, “If Mr Cotes had lived, we should have known something.”

 CÔTES-DU-NORD, a maritime department of the north-west of France, formed in 1790 from the northern part of the province of Brittany, and bounded N. by the English Channel, E. by the department of, S. by , and W. by. Pop. (1906) 611,506. Area, 2786 sq. m. In general conformation, Côtes-du-Nord is an undulating plateau including in its more southerly portion three well-marked ranges of hills. A granitic chain, the Monts du Méné, starting in the south-east of the department runs in a north-westerly direction, forming the watershed between the rivers running respectively to the Channel and the Atlantic Ocean. Towards its western extremity this chain bifurcates to form the Montagnes Noires in the south-west and the Montagne d’Arrée in the west of the department. The rivers of the Channel slope are the Rance, Arguenon, Gouessan, Gouet, Trieux, Tréguier and Léguer, while the Blavet, Meu, Oust and Aulne belong to the southern slope. Off the coast, which is steep, rocky and much indented, are the Sept-Iles, Bréhat and other small islands. The principal bays are those of St Malo and St Brieuc.

The climate is mild and not subject to extremes; in the west it is especially humid. Agriculture is more successful on the coast, where seaweed can be used as a fertilizer, than in the interior. Cereals are largely grown, wheat, oats and buck-wheat being the chief crops. Potatoes, flax, mangels, apples, plums, cherries and honey are also produced. Pasture and various kinds of forage are abundant, and there is a large output of milk and butter. The horses of the department are in repute. It produces slate, building-stone, lime and china-clay. Flour-mills, saw-mills, sardine factories, tanneries, iron-works, manufactories of polish, boat-building yards, and rope-works employ many of the inhabitants, and cloth, agricultural implements and nails are manufactured. The chief imports are coal, wood and salt. Exports include agricultural products (eggs, butter, vegetables, &c.), horses, flax and fish. The chief commercial ports are Le Légué and Paimpol; and Paimpol also equips a large fleet for the Icelandic fisheries. The coast fishing is important and large quantities of sardines are preserved. The department is served by the Ouest-État railway; its chief waterway is the canal from Nantes to Brest which traverses it for 73 m.

Côtes-du-Nord is divided into the five arrondissements of St Brieuc, Dinan, Guingamp, Lannion and Loudéac, which contain 48 cantons and 390 communes. Bas Breton is spoken in the arrondissements of Guingamp and Lannion, and in part of those of Loudéac and St Brieuc. The department belongs to the ecclesiastical province, the académie (educational division), and the appeal court of Rennes, and in the region of the X. army corps. St Brieuc, Dinan, Guingamp, Lamballe, Paimpol and Tréguier, the more noteworthy towns, are separately treated. Extensive remains of an abbey of the Premonstratensian order, dating chiefly from the 13th century, exist at Kerity; and Lehon has remains of a priory, which dates from the same period. The department is rich in interesting churches, among which those of Ploubezre (12th, 14th and 16th centuries), Perros-Guirec (12th century), Plestin-les-Grèves (16th century) and Lanleff (12th century) may be mentioned. The church of St Mathurin at Moncontour, which is a celebrated place of pilgrimage, contains fine stained glass of the 16th century, and the mural paintings of the chapel of Kermaria-an-Isquit near Plouha, which belongs to the 13th and 14th centuries, are celebrated. Near Lannion (pop. 5336), itself a picturesque old town, is the ruined castle of Tonquédec, built in the 14th century and sometimes known as “the Pierrefonds of Brittany,” owing to its resemblance to the more famous castle. At Corseul are a temple and other Roman remains.

 COTGRAVE, RANDLE (?–1634), English lexicographer, came of a Cheshire family, and was educated at Cambridge, entering St John’s College in 1587. He became secretary to Lord Burghley, and in 1611 published his French-English dictionary (2nd ed., 1632), a work of real historical importance in lexicography, and still valuable in spite of such errors as were due to contemporary want of exact scholarship.

 CÖTHEN, or, a town of Germany, in the duchy of Anhalt on the Ziethe, at the junction of several railway lines, 42 m. N.W. of Leipzig by rail. Pop. (1905) 22,978. It consists of an old and a new town with four suburbs. The former palace of the dukes of Anhalt-Cöthen, in the old town, has fine gardens and contains collections of pictures and coins, the famous ornithological collection of Johann Friedrich Naumann (1780–1857), and a library of some 20,000 volumes. Of the churches the Lutheran Jakobskirche (called the cathedral), a Gothic building with some fine old stained glass, is noteworthy. Besides the usual classical and modern schools (Gymnasium and Realschule) Cöthen possesses a technical institute, a school of gardening and a school of forestry. The industries include iron-founding and the manufacture of agricultural and other machinery, malt, beet-root sugar, leather, spirits, &c.; a tolerably active trade is carried on in grain, wool, potatoes and vegetables. Among others, there is a monument to Sebastian Bach, who was music director here from 1717 to 1723.

In the 10th century Cöthen was a Slav settlement, which was captured and destroyed by the German king Henry I. in 927. By the 12th century it had secured town rights and become a considerable centre of trade in agricultural produce. In 1300 it was burned by the margrave of Meissen. In 1547 the town was taken from its prince, Wolfgang (a cadet of the house of Anhalt), who had joined the league of Schmalkalden, and given by the emperor Charles V., with the rest of the prince’s possessions, to the Spanish general and painter, Felipe Ladron y Guevara