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Encyclopedia Britannica - Main :: COR-CRE |
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COTES, ROGER (1682-1716) , English mathematician and philosopher, was born on the loth of July 1682 at Burbage
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
series of elaborate researches on optics, and a large amount of unpublished manuscript.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 TRIGONOMETRY), 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' Hydro-statical 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."COTES-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 Ille-et-Vilaine, S. by Morbihan, and W. by Finistere. Pop. (1906) 611,506. Area, 2786 sq. m. In general conformation, Cotes-du-Nord is an undulating plateau including in its more southerly portion three well-marked ranges of hills. A granitic chain, the Monts du Merle, 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'Arree in the west of the department. The rivers of the Channel slope are the Rance, Arguenon, Gouessan, Gouet, Trieux, Treguier and Leguer, 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, Brehat and other small islands. The principal bays are those of St Maio 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
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
Cotes-du-Nord is divided into the five arrondissements of St Brieuc, Dinan, Guingamp, Lannion and Loudeac, which contain 48 cantons and 390 communes. Bas Breton
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 Tonquedec, built in the 14th century and sometimes known as "the Pierrefonds
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