ONE:In 1720 Colin Maclaurin, the successor of James Gregory in the mathematical chair at Edinburgh, published his "Geometrical Organica," a treatise on curves; in 1742 his admirable treatise on Fluxions; and in 1748 his treatise on Algebra. Dr. Robert Simson, professor of mathematics at Glasgow, published a restoration of the "Loci" of Apollonius, and an English translation of Euclid, which continued down to a late period in use, both in Scotland and England. In 1717 James Stirling published a Latin treatise on lines of the third order, and another on Fluxions, called "Methodus Differentialis," in 1730. William Emerson, a mathematician and mechanist, wrote on fluxions, trigonometry, mechanics, navigation, algebra, optics, astronomy, geography, dialling, etc., but a considerable portion was only in part published during this period. Thomas Simpson, a weaver, of Market Bosworth, at the age of seven-and-twenty suddenly discovered himself as an extraordinary mathematician, and went on till his death, in 1761, publishing works on fluxions, the nature and laws of chance, on mixed mathematics, on the doctrine of annuities and reversions, on algebra, elementary geometry, trigonometry, etc. James Ferguson, also, the son of a day-labourer, in Banffshire, studied mathematics whilst tending sheep, and published a number of works on the phenomena of the harvest moon, astronomy, mechanics, hydrostatics,[154] pneumatics, and optics. Ferguson had a remarkably lucid and demonstrative style, both in writing and lecturing, and his example excited a keen spirit of inquiry amongst the working classes, so that he is said to have diffused the knowledge of physical science amongst the class from which he sprang more than any other man.
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THREE:At length it was announced that peace was signed with France at Utrecht, and it was laid before the Council (March 31, 1713). Bolingbroke had made another journey to the Continent to hasten the event, but it did not receive the adhesion of the Emperor at last. Holland, Prussia, Portugal, and Savoy had signed, but the Emperor, both as king of Austria and head of the Empire, stood out, and he was to be allowed till the 1st of June to accept or finally reject participation in it. This conclusion had not been come to except after two years' negotiation, and the most obstinate resistance on the part of all the others except England. Even in the English Cabinet it did not receive its ratification without some dissent. The Lord Cholmondeley refused to sign it, and was dismissed from his office of Treasurer of the Household. On the 9th of April the queen opened Parliament, though she was obliged to be carried thither and back in a chair in consequence of her corpulence and gout. She congratulated the country on this great treaty, declared her firm adherence to the Protestant succession, advised them to take measures to reduce the scandalous licentiousness of the Press, and to prevent duelling, in allusion to the tragic issue of that between Hamilton and Mohun. She finally exhorted them to cultivate peace amongst themselves, to endeavour to allay party rage; and as to what forces should be necessary by land and the sea, she added, "Make yourselves safe; I shall be satisfied. Next to the protection of Divine Providence, I depend on the loyalty and affection of my people; I want no other guarantee." On the 4th of May the proclamation of peace took place. It was exactly eleven years since the commencement of the war. The conditions finally arrived at were those that have been stated, except that it was concluded to confer Sicily on the Duke of Savoy for his services in the war; on the Elector of Bavaria, as some equivalent for the loss of Bavaria itself, Sardinia, with the title of king; and that, should Philip of Spain leave no issue, the Crown of Spain should also pass to him.
