A chart, in French, is called carte hydrographique, marine or des cotes; in Spanish or Portuguese carta de marear, in Italian carta da navigare, in German Seekarte (to distinguish it from Landkarte), in Dutch Zeekaart or Paskaart.
For example, a pair of equal opposite vortices, moving on a line parallel to a plane boundary, will have a corresponding pair of images, forming a rectangle of vortices, and the path of a vortex will be the Cotes' spiral r sin 20 = 2a, or x-2+y-2=a-2; (io) this is therefore the path of a single vortex in a right-angled corner; and generally.
If the angle of the corner is jr/n, the path is the Cotes' spiral r sin n0=na.
As a mathematician, he was the only Englishman after Sir Isaac Newton and Roger Cotes capable of holding his own with the Bernoullis; but a great part of the effect of his demonstrations was lost through his failure to express his ideas fully and clearly.
ROGER COTES (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.
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."
Treguier, a port of western France, in the department of Cotes-du-Nord, 36 m.
In this belief he differed from his pupil, Roger Cotes, and from most of the great mathematical astronomers of the 18th century, who worked out in detail the task sketched by the genius of Newton.
Besides Napier and Briggs, special reference should be made to Kepler (Chilias, 1624) and Mercator (Logarithmotechnia, 1668), whose methods were arithmetical, and to Newton, Gregory, Halley and Cotes, who employed series.
Of Later Canadian Novelists Mention May Be Made Of Sara Jeannette Duncan (Mrs Everard Cotes, B.
Cotes (1682-1716), and the various curves obtained are known as Cotess spirals.
The subsoils of some of the other districts (Cotes and St Emilion) contain much stone in the shape of flint and quartz.
The Gironde viticultural region is divided into six main districts, namely, Medoc, Sauternes, Graves, Cotes, Entre-deux-Mers and Palus.
Although properly belonging to the Cotes, the St Emilion district is sometimes classified separately, as indeed, having regard to the excellence and variety of its wines, it has a right to be.
The Cotes district consists of the slopes rising from the lower marshy regions to the east of the Garonne and the Dordogne respectively.
The best of the Cotes wines are grown in the St Emilion St reg i on.
Bretagne), known as Armorica until the influx of Celts from Britain, an ancient province and duchy of France, consisting of the north-west peninsula, and nearly corresponding to the departments of Finistere, Cotes-duNord, Morbihan, Ille-et-Vilaine and Lower Loire.
In the 11th and 12th centuries the countship of Penthievre in Brittany (dep. of Cotes-du-Nord) belonged to a branch of the sovereign house of Brittany.
Leibnitz, the Bernoullis, Roger Cotes and others - and so assiduously was it studied that it was sometimes named the "Helen of Geometers."
Dr Edleston, in his preface to Newton's correspondence with Cotes, justly remarks: " If Flamsteed the Astronomer-Royal had cordially co-operated with him in the humble capacity of an observer in the way that Newton pointed out and requested of him.
In the middle of 1708 Newton's consent was obtained, but it was not till the spring of 1709 that he was prevailed upon to entrust the superintendence of it to a young mathematician of great promise, Roger Cotes, fellow of Trinity College, who had been recently appointed the first Plumian professor of astronomy and experimental philosophy.
On the 21st of May 1709, after having been that day with Newton, Bentley announced this arrangement to Cotes: - " Sir Isaac Newton," he said, " will be glad to see you in June, and then put into your hands one part of his book corrected for the press."
About the middle of July Cotes went to London, in the expectation doubtless to bring down with him to Cambridge the corrected portion of the Principia.
Although Cotes was impatient to begin his work, it was nearly the end of September before the corrected copy was put into his hands.
On the 31st of March 1713, when the edition was nearly ready for publication, Newton wrote to Cotes: " I heare that Mr Bernoulli has sent a Paper of 40 pages to be published in the Acta Leipsica relating to what I have written upon the curve Lines described by Projectiles in resisting Mediums. And therein he partly makes Observations upon what I have written & partly improves it.
Newton's desire to have no hand in writing the preface seems. to have proceeded from a knowledge that Cotes was proposing to allude to the dispute about the invention of fluxions.
P. Rigaud, Historical Essay on the First Publication of Sir Isaac Newton's Principia (1838); Edleston, Correspondence of Sir Isaac Newton and Professor Cotes, &c. (1850); Sir D.