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JAMES STIRLING (1692-1770)

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Originally appearing in Volume V25, Page 924 of the 1911 Encyclopedia Britannica.
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JAMES See also:STIRLING (1692-1770)  , Scottish mathematician, third son of See also:Archibald See also:Stirling of See also:Garden, and See also:grandson of See also:Sir Archibald Stirling of Keir (See also:Lord Garden, a lord of session), was See also:born at Garden, See also:Stirlingshire, in 1692 . At eighteen years of See also:age he went to See also:Oxford, where, chiefly through the See also:influence of the See also:earl of See also:Mar, he was nominated (1711) one of See also:Bishop See also:Warner's exhibitioners at Balliol . In 1715 he was expelled on See also:account of his See also:correspondence with members of the Keir and Garden families, who were noted See also:Jacobites, and had been See also:accessory to the " Gathering of the Brig o' Turk " in 1708 . From Oxford he made his way to See also:Venice, where he occupied himself as a See also:professor of See also:mathematics . In 1717 appeared his Lineae tertii ordinis Newtonianae, sive . . . (8vo, Oxford) . While in Venice, also, he communicated, through Sir See also:Isaac See also:Newton, to the Royal Society a See also:paper entitled " Methodus differentialis Newtoniana illustrata" (Phil . Trans., 1718) . Fearing assassination on account of having discovered a See also:trade See also:secret of the See also:glass-makers of Venice, he returned with Newton's help to See also:London about the See also:year 1725 . In London he remained for ten years, being most See also:part of the See also:time connected with an See also:academy in See also:Tower See also:Street, and devoting his leisure to mathematics and correspondence with eminent mathematicians . In 1730 his most important See also:work was published, the Methodus differentialis, sive traclatus de summa-/lone el interpolatione serierum infinitarum (4to, London), which, it must be noted, is something more than an expansion of the paper of 1718 .

In 1735 he communicated to the Royal Society a paper " On the Figure of the See also:

Earth, and on the Variation of the Force of Gravity at its See also:Surface." In the same year he was appointed manager for the Scots See also:Mining See also:Company at Ieadhills . We are thus prepared to find that his next paper to the Royal Society was concerned, not with pure, but with applied See also:science—" Description of a See also:Machine to See also:blow See also:Fire by the Fall of See also:Water " (Phil . Trans . 1745) . His name is also connected with another See also:practical undertaking, since grown to vast dimensions . The accounts of the See also:city of See also:Glasgow for 1752 show that the very first See also:instalment of ten millions See also:sterling spent in making Glasgow a seaport, viz. a sum of £28, 4s . 4d., was for a See also:silver See also:tea-See also:kettle to be presented to " See also:James Stirling, mathematician, for his service, pains, and trouble in See also:surveying the See also:river towards deepening it by locks." Stirling died in See also:Edinburgh on the 5th of See also:December 1770 . See W . See also:Fraser, The Stirlings of Keir, and their See also:Family Papers, (Edinburgh, 1858) ; " See also:Modern See also:History of See also:Leadhills," in See also:Gentleman's See also:Magazine (See also:June, 18B3); See also:Brewster, See also:Memoirs of Sir Isaac Newton, ii . 300, 307, 411, 516; J . See also:Nicol, Vital See also:Statistics of Glasgow (1881-1885), p . 70; Glasgow See also:Herald (Aug .

5, 1886) . Another edition of the Lineae tertii ordinis was published in See also:

Paris in 1797; another edition of the Methodus differentialis in London in 1764; and a See also:translation of the latter into See also:English by See also:Halliday in London in 1749 . A considerable collection of See also:literary remains, consisting of papers, letters and two See also:manuscript volumes of a See also:treatise on weights and See also:measures, are still preserved at Garden .

End of Article: JAMES STIRLING (1692-1770)
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