ONE:Chapter 19
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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.At the same time, the Duke of Brunswick was[406] approaching from the rear, and Kellermann from Metz, but both with equal tardiness. Dumouriez dispatched a courier to order Kellermann, on arriving, to take his position on the heights of Gisancourt, commanding the road to Chalons and the stream of the Auve; but Kellermann, arriving in the night of the 19th, instead of reaching the heights of Gisancourt, advanced to the centre of the basin at Valmy, where, on the morning of the 20th, he found himself commanded by the Prussians, who had come up and formed on the heights of La Lune, when, had Kellermann taken the position assigned him on Gisancourt, he would have commanded La Lune. The Prussians had been in full march for Chalons when they took post here, and discovered Kellermann below them by the mill of Valmy, and Dumouriez above on the heights of Valmy. Kellermann, perceiving the error of his position, and that the Prussians would soon seize on the heights of Gisancourt, which he ought to occupy, sent to Dumouriez for assistance to extricate himself. The King of Prussia, perceiving that forces were thrown forward towards Kellermann's position, imagined that the French meant to cut off his march towards Chalons, and immediately commenced firing. From the heights of La Lune and of Gisancourt, which he now occupied, he poured a deadly fire of artillery on Kellermann; and the Austrians, about to attempt to drive the French from the heights of Hyron, if they succeeded, would leave him exposed on all sides. The battle now was warmly contested, but only through the artillery. A shell falling into one of Kellermann's powder waggons exploded it, and occasioned much confusion. The King of Prussia thought this the moment to charge with the bayonet, and now, for the first time, the Revolutionary soldiers saw the celebrated troops, bearing the prestige of the great Frederick, marching down upon them in three columns, with the steady appearance of victory. Kellermann, to inspirit his inexperienced soldiers, shouted, "Vive la Nation!" The troops caught the enthusiasm of the cry, replied with a loud "Vive la Nation!" and dashed forward. At this sight the Duke of Brunswick was astonished; he had been led to expect nothing but disorder and cowardice; he halted, and fell back into his camp. This movement raised the audacity of the French; they continued to cannonade the Prussians, and after one or two more attempts to reach them with the bayonet, Brunswick found himself, as night fell, in anything but a victorious position. About twenty thousand cannon shots had been exchanged, whence the battle was called the cannonade of Valmy. Yet there stood the French, who, according to the reports of the Emigrants, were to have run off at the first smell of powder, or to have come over to them in a body. The next morning it was worse. Kellermann, in the night, had recovered himself from his false position; had gained the heights of Gisancourt which he should have occupied at first; had driven the Prussians thence, and now commanded them in La Lune.
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ONE:Arnold had meanwhile arranged everything with Washington, at Cambridge, for his expedition. He marched away from Cambridge with twelve hundred men, and on reaching the Kennebec River, one hundred and thirty miles north of Boston, embarked upon it, carrying with him one thousand pounds in money, and a whole cargo of manifestoes for distribution among the Canadians. Thence he had to traverse a terrible wilderness of woods, swamps, streams, and rugged heights, where the men had to carry their boats and provisions on their shoulders, and where, for two-and-thirty days, they saw no house, wigwam, or sign[221] of human life. So extreme were their distresses, that for the last several days they had to live on their own dogs. It was the 3rd of November before they reached the first Canadian settlement on the river Chaudire, which flows into the St. Lawrence opposite to Quebec. They emerged on the river St. Lawrence, at Point Levi, immediately over against Quebec. Could Arnold have crossed immediately, such was the suddenness of the surprise, he probably would have taken the city. But a rough gale was blowing at the time, and for five days he was detained on the right bank of the river by that circumstance and the want of boats. Arnold, nevertheless, managed to cross the river in the night, about a mile and a half above the place where Wolfe had crossed. Finding the cliffs there too high to scale, he followed the shore down to Wolfe's Cove, and ascended the heights just where Wolfe had done so. Like Wolfe, Arnold formed his band on the Heights of Abraham, and, trusting to the belief that the Canadians were in favour of the Americans, proposed to make a dash up to the gates of the city before day broke; but his followers protested against this design. When day dawned, Arnold saw so many men on the walls and batteries that he knew the assault was hopeless, and retired to Point aux Trembles, where he was joined by Montgomery, who took the chief command.
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