THREE:The campaign in Flanders commenced with the highest expectation on the part of England. Cumberland had now obtained the great object of his ambitionthe command of the Allied army; and the conqueror of Culloden was confidently expected to show himself the conqueror of Marshal Saxe and of France. But Cumberland, who was no match for Marshal Saxe, found the Dutch and Austrians, as usual, vastly deficient in their stipulated quotas. The French, hoping to intimidate the sluggish and wavering Dutch, threatened to send twenty thousand men into Dutch Flanders, if the States did not choose to negotiate for a separate peace. The menace, however, had the effect of rousing Holland to some degree of action. When the vanguard of Saxe's army, under Count L?wendahl, burst into Dutch Flanders, and reduced the frontier forts of Sluys, Sas-van-Ghent, and Hulst, the Dutch rose against their dastardly governors, and once more placed a prince of the House of Nassau in the Stadtholdership. William of Nassau, who had married Anne, daughter of George II. of England, was, unfortunately, not only nominated Stadtholder, but Captain-General and Lord High Admiral; and, being equally desirous of martial glory with his brother-in-law, the Duke of Cumberland, he headed the Dutch army, and immediately began to contend with Cumberland for dictation as to the movements of the army. In these disastrous circumstances, the Allies came to blows with the French at the village of Laufeldt, before Maestricht. The Dutch in the centre gave way and fled; the Austrians on the right, under Marshal Batthyani, would not advance out of their fortified position; the brunt of the whole onset, therefore, fell upon the English. Cumberland found himself engaged with the whole French army, directed by the masterly mind of Saxe, and animated by the presence of Louis himself. The dispositions of Cumberland were bad, but the bravery of the British troops was never more remarkable. Though it was impossible for them to prevail against such overwhelming numbers, they did not retreat before they had, according to Saxe's own acknowledgment, killed or wounded nine thousand of the French.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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