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ROGER COTES (1682-1716)

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Originally appearing in Volume V07, Page 249 of the 1911 Encyclopedia Britannica.
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ROGER See also:COTES (1682-1716)  , See also:English mathematician and philosopher, was See also:born on the loth of See also:July 1682 at See also:Burbage, See also:Leicestershire, of which See also:place his See also:father, the Rev . See also:Robert See also:Cotes, was See also:rector . He was educated at See also:Leicester school, and afterward at St See also:Paul's school, See also:London . Proceeding to Trinity See also:College, See also:Cambridge, in 1699, he obtained a fellowship in 1705, and in the following See also:year was appointed Plumian See also:professor of See also:astronomy and experimental See also:philosophy in the university of Cambridge . He took orders in 1713; and the same year, at the See also:request of Dr See also:Richard See also:Bentley, he published the second edition of See also:Newton's Principia with an See also:original See also:preface . He died on the 5th of See also:June 1716, leaving unfinished a See also:series of elaborate researches on See also:optics, and a large amount of unpublished See also:manuscript . He contributed two See also: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 See also:great fiery See also:meteor seen on See also:March 6th, 1716." After his See also:death his papers were collected and published by his See also:cousin and successor in the Plumian See also:chair, Dr Robert See also:Smith, under the See also:title See also:Harmonia Mensurarum (1722) . This See also:work included the " Logometria," the trigonometrical theorem known as " Cotes' Theorem on the Circle " (see See also:TRIGONOMETRY), his theorem on See also:harmonic means, subsequently See also:developed by See also:Colin See also:Maclaurin, and a discussion of the curves known as " Cotes' Spirals," which occur as the path of a particle described under the See also:influence of a central force varying inversely as the See also: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 See also:genius of Cotes earned encomiums from both his contemporaries and successors; See also:Sir See also:Isaac Newton said, " If Mr Cotes had lived, we should have known something." COTES-DU-See also:NORD, a maritime See also:department of the See also:north-See also:west of See also:France, formed in 1790 from the See also:northern See also:part of the See also:province of See also:Brittany, and bounded N. by the English Channel, E. by the department of Ille-et-Vilaine, S. by See also:Morbihan, and W. by See also:Finistere . Pop . (1906) 611,506 .

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Area, 2786 sq. m . In See also:general conformation, Cotes-du-Nord is an undulating See also:plateau including in its more southerly portion three well-marked ranges of hills . A granitic See also:chain, the Monts du Merle, starting in the See also:south-See also:east of the department runs in a north-See also:westerly direction, forming the See also:watershed between the See also:rivers See also:running respectively to the Channel and the See also:Atlantic Ocean . Towards its western extremity this chain bifurcates to See also: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 See also:Rance, Arguenon, Gouessan, Gouet, Trieux, See also:Treguier and Leguer, while the Blavet, Meu, Oust and Aulne belong to the See also:southern slope . Off the See also:coast, which is steep, rocky and much indented, are the See also:Sept-Iles, Brehat and other small islands . The See also:principal bays are those of St Maio and St Brieuc . The See also:climate is mild and not subject to extremes; in the west it is especially humid . See also:Agriculture is more successful on the coast, where seaweed can be used as a fertilizer, than in the interior . Cereals are largely grown, See also:wheat, oats and See also:buck-wheat being the See also:chief crops . Potatoes, See also:flax, mangels, apples, plums, cherries and See also:honey are also produced . Pasture and various kinds of See also:forage are abundant, and there is a large output of See also:milk and See also:butter .

The horses of the department are in repute . It produces See also:

slate, See also:building-See also:stone, See also:lime and See also:china-See also:clay . See also:Flour-See also:mills, saw-mills, sardine factories, tanneries, See also:iron-See also:works, manufactories of See also:polish, See also:boat-building yards, and rope-works employ many of the inhabitants, and See also:cloth, agricultural implements and nails are manufactured . The chief imports are See also:coal, See also:wood and See also:salt . Exports include agricultural products (eggs, butter, vegetables, &c.), horses, flax and See also:fish . The chief commercial ports are Le Legue and See also:Paimpol; and Paimpol also equips a large See also:fleet for the Icelandic See also:fisheries . The coast fishing is important and large quantities of sardines are preserved . The department is served by the Ouest-Etat railway; its chief waterway is the See also:canal from See also:Nantes to See also:Brest which traverses it for 73 M . Cotes-du-Nord is divided into the five arrondissements of St Brieuc, See also:Dinan, See also:Guingamp, See also:Lannion and Loudeac, which contain 48 cantons and 390 communes . Bas See also:Breton is spoken in the arrondissements of Guingamp and Lannion, and in part of those of Loudeac and St Brieuc . The department belongs to the ecclesiastical province, the See also:academic (educational See also:division), and the See also:appeal See also:court of See also:Rennes, and in the region of the X. See also:army See also:corps . St Brieuc, Dinan, Guingamp, See also:Lamballe, Paimpol and Treguier, the more noteworthy towns, are separately treated .

Extensive remains of an See also:

abbey of the Premonstratensian See also:order, dating chiefly from the 13th See also:century, exist at Kerity; and Lehon has remains of a priory, which See also:dates from the same See also:period . The department is See also:rich in interesting churches, among which those of Ploubezre (12th, 14th and 16th centuries), Perros-Guirec (12th century), Plestin-See also:les-Greves (16th century) and Lanleff (12th century) may be mentioned . The See also:church of St Mathurin at Moncontour, which is a celebrated place of See also:pilgrimage, contains See also:fine stained See also:glass of the 16th century, and the mural paintings of the See also: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 See also:town, is the ruined See also:castle of Tonquedec, built in the 14th century and sometimes known as "the See also:Pierrefonds of Brittany," owing to its resemblance to the more famous castle . At Corseul are a See also:temple and other See also:Roman remains .

End of Article: ROGER COTES (1682-1716)
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