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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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The last act of this year, 1794, was the opening of Parliament on the 30th of December. The king, in his speech, was compelled to confess the deplorable defeat of our Allies, and of our own army under the Duke of York. He had to admit that, Robespierre having fallen, there might possibly be a more pacific spirit in France; that Holland, the only ally for whom we were verbally bound to take up arms, was negotiating a peace with the French; that the United States of America had refused to coalesce with the French against us, and had, on the contrary, made a treaty of amity, commerce, and navigation with us. Here, then, was an end of all real causes for anything more than a mere defensive war on our part. Yet the speech breathed a most warlike spirit, and made a great deal of the secession of the island of Corsica from France and its adhesion to England. In the same spirit were the Addresses from both Houses carried by overwhelming Ministerial majorities.And she will have to tell who was her partner, added Dick.

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THREE:The chase turned toward him.
FORE:All right, buddy, admonished Jeff. Stick to your job. Sandy or Dick will read the dots and dashesif hes using Morse codeAlso he was in love with the wife of a man he liked and respectedand who trusted him. Yet in spite of that, he had come nearso near that it made him cold to think about itto following in the way of many frontiersmen and marrying a Mexican. It had been when he had first learned that Felipa Landor had gone East for two years; and the Mexican had been very young and very pretty, also very bad.
TWO:The Government was paralysed by the greatness of the evil. While the House of Commons had[268] been sitting, the mob had attacked Lord North's house, in Downing Street, close by; but a party of soldiers had succeeded in interposing themselves between the mansion and its assailants. The house of the Minister was saved; but the gigantic mass of rioters then rolled towards the City, vowing that they would sack Newgate, and release their comrades, who had been sent there on Friday. On the 6th they appeared in vast numbers before that prison, and demanded of Mr. Akerman, the keeper, the delivery of their associates. Their cry was still "No Popery!" though their object was havoc: they were armed with heavy sledge-hammers, crowbars, and pick-axes; and on the keeper refusing to liberate the prisoners, they commenced a desperate attack on his doors and windows, and, collecting combustibles, flung them into the dwelling. It was speedily in flames, and, whilst it burned, the mob thundered on the iron-studded doors of the prison with their tools. But, as they made no impression, they formed heaps of the keeper's furniture, and made a fire against the doors. The fires spread from the keeper's house to the prison chapel, and thence to some of the doors and passages leading into the wards. The mob raised terrible yells of rage and triumph, which were as wildly echoed by the prisoners within, some of whom were exulting in the expectation of rescue, and others shrieking, afraid of perishing in the conflagration. The crowd, now more furious than ever, from greedily drinking the wine and spirits in the keepers cellar, rushed through the gaps made by the flames, and were masters of the prison. They were led on by ferocious fellows, who were but too familiar with the interior of the place. The different cells were forced open, and the now half-maddened prisoners were either rudely dragged out, or they rushed forth in maniacal delight. Three hundred of these criminals, some of them stained with the foulest offences, and four of them under sentence of execution on the following Thursday, were let out, to add to the horrors of the lawless tumult. They came out into the surging, roaring multitude to raise their shouts at the sight of the great prison, which had lately been rebuilt at a cost of one hundred and forty thousand pounds, in one vast conflagration. Nothing was left of it the next morning but a huge skeleton of blackened and frowning walls.
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THREE:

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FORE:Headfirst he plunged in, scrambling, instantly beginning to seek the points where the control cables passed through channeled guides at each side.
THREE:"Do you like his kind?" the Englishman asked curiously.

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THREE:WILLIAM HOGARTH. (After the Portrait begun by Weltdon and finished by himself.)He hesitated. "I have done some shooting. I am always shooting more or less, for that matter."

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THREE:Good night! Sandy was amazed. Jeff, thats the family history of the Everdails, that I saw when I visited the farm boys and found out you and Mimi were married.In March of this year Lord Cornwallis had brought a war in India with the implacable enemy of the British to a very successful close. Early in the preceding year, 1791, he had reinstated our ally, the Rajah of Travancore, in his dominions, and had further seized nearly all Tippoo's territories on the Malabar coast. He then determined to strike a decisive blow, by marching upon Tippoo's capital, Seringapatam. In February he took the city of Bangalore, and early in May he was on his route for Seringapatam. Tippoo was in the deepest consternation. Lord Cornwallis arrived in the neighbourhood of Seringapatam on the 13th of May, and immediately attacked Tippoo, who was drawn up with a large force. The Mysoreans broke and fled[395] before the British bayonets. The British army was in full view of the capital, and expected a rich booty, when Cornwallis was compelled to order a retreat. The forces of General Abercromby, who had to make his way from another quarter through the mountains, had not come up; neither had the Mahrattas, who were to join with twenty thousand men. The rains had set in, and the army was without provisions, for Tippoo had laid all the country waste. In these circumstances, Lord Cornwallis somewhat precipitately destroyed his battering guns, and retired from before Seringapatam. He sent word to Abercromby, who was now approaching, to retire also. On the 26th of May, the very first day of his retreat, the Mahrattas arrived; but as the rains continued and his soldiers were suffering from illness, he determined to retreat to Bangalore, where he procured four battering trains; and having laid in plentiful stores and obtained strong reinforcements, as soon as the season was favourable he again set out for Seringapatam. After taking different forts on his way, he appeared before that wealthy city on the 5th of February, 1792, in company with General Abercromby and a native force belonging to our ally, the Nizam. Tippoo was drawn up before the city, having between it and himself the rapid river Cauvery, and the place extremely well fortified and defended by batteries. He had forty thousand infantry and five thousand horse; but he was speedily defeated, and driven across the river into the city. There the British followed him, and, under the guidance of the brave generals, Medows and Abercromby, they soon penetrated so deeply into the place that Tippoo was compelled to capitulate. In these actions the British were said to have lost about six hundred men, Tippoo four thousand.

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THREE:[270]

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  • FORE:"Very much," said Ellton; "it was a sharp cut on the foreheadwent through the bone, and he was unconscious, off and on, for two or three days. He seemed to take it hard. He went off yesterday, and he wasn't fit to travel either, but he would do it for some reason. I think he was worse cut up about Landor than anything, though he wasn't able to go to the funeral. I like[Pg 289] Cairness. He's an all-round decent fellow; but after all, his life was bought too dear."

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  • FORE:Already he felt more respectable at the mere prospect of contact with his kind again. He was glad that the unkempt beard was gone, and he was allowing himself to hope, no, he was deliberately hoping, that he would see Felipa.[See larger version]

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THREE:"You give your horse a sore back whenever you go far, and you always bring him back in a lather."[Pg 251]

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