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.
THREE:Cairness reached out for the discarded Cornhill, and settled himself among the cushions. "They're going to dress, I rather think," he said. The minister almost sprang from his chair. "Good Lord! I ain't got any other clothes," he cried, looking ruefully at his dusty black.He hesitated. "I have done some shooting. I am always shooting more or less, for that matter."
THREE:In this situation the English General determined to attemptwhat he should have attempted at firstto force the American lines. Accordingly, on the 7th of October, he drew out one thousand five hundred picked men, and formed them less than a mile from the American camp. No sooner were they descried, than they were attacked furiously by Poor's New Hampshire brigade. The attack extended rapidly to the right, where Morgan and his rifle corps stole round through some woods, and opened fire on the flank of the column. Other troops rushed out of the American entrenchments, and endeavoured to force their way between the British and their camp; but Major Ackland and his riflemen withstood them bravely; yet Burgoyne and his one thousand five hundred men were forced to fall back, leaving their cannon behind them. Morgan and his riflemen were now arriving, under cover of the woods, near the flank of the right wing; and Fraser, perceiving them, advanced to dislodge them. In this he succeeded, but was picked off by the American marksmen, as usual safe behind their trees, and fell mortally wounded. Meanwhile Colonel Brooks, at the head of Jackson's regiment of Massachusetts, was more successful. He turned the entrenchments of the German brigade, maintained his ground within the lines, and, to the wonderful relief of the Americans, seized the baggage of the Germans, and an ample supply of ammunition.
THREE:
