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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.
 
ONE:[See larger version]Whilst these events had been progressing, the Ministry had entered into a combat with the great unknown political essayist, Junius. Junius had advanced from Sir William Draper to the Duke of Grafton, and from the Duke of Grafton to the king in his sweeping philippics. For these daring censures, Woodfall, the printer of the Public Advertiser, was tried, and also Almon, the publisher of the London Museum, a monthly periodical, for reprinting the libel there. Almon was convicted of publishing, and sentenced to pay a fine of ten marks, and give security for his good behaviour for two years, himself in four hundred pounds, and two sureties in two hundred pounds each. He moved in vain for a new trial. Woodfall was convicted of "printing and publishing only;" but he obtained an order for a new trial, on the ground of the phrase "only" being ambiguous. But the circumstance which excited the attention and turned the resentment of both Liberal statesmen and the people was, that Lord Mansfield on these trials had instructed the juries to confine themselves to the facts alone, and to leave the question of legality to the judges. This was properly declared a dangerous infringement of the rights of juries, and calculated to make their verdicts merely the servile echoes of the dicta of the judges. Lord Chatham, on the 28th of November, denounced in the Peers this dictation of the judge to the juries. Serjeant Glynn, at the same time, moved in the Commons for an inquiry into the administration of justice in Westminster Hall, where such unconstitutional instructions could be given. This occasioned a warm debate, in which Burke, Dunning, and others, ably defended the public rights. The motion was negatived.

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FORE:Pitt, though he remained determined against our continuing to send soldiers to Germany, was so elated at the success of Frederick that, on the meeting of Parliament, on the 1st of December, he supported the vote of six hundred and seventy thousand pounds as a subsidy to Prussia, George having entered into a new convention with Frederick to defend his Electorate. Pitt, on the same occasion, pronounced a glowing eulogium on Clive's proceedings in India. This great Minister had, in fact, formed the most extensive designs for the colonial aggrandisement of England, and the repulse of France in those quarters. At his suggestion, Lord Loudon had been sent to North America, and as he had failed to render any service, General Abercrombie had gone out to supersede him. Pitt already, however, had his eye on a young officer, Wolfe, whom he deemed the true hero for that service; whilst, on the opposite side of the globe, he was watching the proceedings of another young officer with immense pleasurenamely, Clive. These two remarkable men, under the fostering genius of Pitt, were destined to destroy the ascendency of France in those regions, and to lay the foundations of British power on a scale of splendour beyond all previous conception.

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FORE:When these infamous doings were known in England, a feeling of horror and indignation ran through the country. The East India Company was compelled to send out Lord Pigot to Madras to do what Clive had so vigorously done in Bengalcontrol and reverse the acts of the Council. Pigot most honourably acquitted himself; liberated the outraged Nabob of Tanjore and his family, and restored them. But Pigot had not the same overawing name as Clive. The Council of Madras seized him and imprisoned him, expelling every member of the Council that had supported him. This most daring proceeding once more astonished and aroused the public feeling of England. An order was sent out to reinstate Lord Pigot, but, before it arrived, his grief and mortification had killed him. Sir Thomas Rumbold, a most avaricious man, was appointed to succeed him, and arrived in Madras in February, 1778, Major-General Hector Munro being Commander-in-Chief, and the army of Hyder, one hundred thousand in number, already again menacing the frontiers.Thus the Cabinet was evidently fast breaking up, when Mr. Littleton introduced his Tithe Bill. Its object was much the same as Mr. Stanley's Act of 1832 for the Compulsory Commutation of Tithe. This last Act had been a failure, and Mr. Littleton was compelled to ask Parliament to grant the sum of 1,000,000 to pay the arrears. He hoped to remedy its defects by reducing the number of people who were liable to tithe, and then, after the 1st of November, to commute the tithe into a land tax, payable to the State, to reduce its amount by one-fifth, and to allow any person having a substantial interest in the estate to redeem the residue of it, after five years had expired, on easy terms. After a number of stormy debates the progress of the measure seemed assured, when Lord John Russell went out of his way to express his views in favour of the appropriation of the surplus revenues of the Irish Church to secular purposes. Stanley wrote to Graham the laconic note, "Johnny has upset the coach." Indeed, the declaration was the more indiscreet because the Cabinet was hopelessly divided on the point.

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FORE:Everything in Parliament and in Ministerial movements now denoted the near approach of the renewal of war. On the 8th of March a message was received by both Houses of Parliament from his Majesty, stating that great military preparations were going on in Holland and France, and that his Majesty deemed it highly necessary to take measures for the security of his dominions. It added that negotiations were going on with France, the issue of which was uncertain, but it neither stated what these negotiations were, nor the measures called for. The message was taken for what it wasa note of war, and both in the Lords and Commons strong expressions of defiance were used to France. This seemed to have encouraged Ministers to a plainer expression of their intentions, for only two days later another message came down, calling for an increase of the navy. The next day, the 11th, the Commons formed themselves into a committee, and voted an addition of ten thousand seamen to the fifty thousand already voted. The militia were embodied. Sheridan was very zealous for war; Ministers, however, professed to desire the continuance of peace if possible. Hugh Howard, made Postmaster-General.

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FORE:Ulster 2,386,373 3,320,133 346,517 170,598

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FORE:The Duke withdrew much dissatisfied with the turn affairs had taken, and distrustful of the issue. In a parting interview with the Emperor of Russia, the latter spoke at length in strong disapprobation of the refusal of England to co-operate in putting down revolution, and said, in conclusion, that Russia was prepared for every eventuality. "She was able, with the support of Austria and Prussia, to crush revolution both in France and Spain; and, if the necessity should arise, she was determined to do so." The Duke heard his Imperial Majesty to an end, and then ventured to assure him that the only thing for which Great Britain pleaded was the right of nations to set up whatever form of government they thought best, and to manage their own affairs, so long as they allowed other nations to manage theirs. Neither he nor the Government which he represented was blind to the many defects which disfigured the Spanish Constitution; but they were satisfied that they would be remedied in time. The Emperor could not gainsay the justice of these remarks, but neither was he willing to be persuaded by them; so, after expressing himself well pleased with the settlement of the Turkish question which had been effected, he embraced the Duke, and they parted.

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TWO:FIVE-GUINEA PIECE OF GEORGE I.
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TWO:During the passage of the Bill through committee three important proposals were madethe first by Lord Chandos, that tenants paying fifty pounds per annum for their holdings should have a vote in the counties. This was known as "the Chandos clause" of the Reform Bill, which was carried on the 18th of August by a majority of 84, the numbers being 232 and 148. Mr. Hume proposed that the colonies should be represented in the House of Commons; but the motion was negatived without a division. Mr. Hunt, the celebrated Radical Reformer, moved that all house-holders paying rates and taxes should have votes; but, strange to say, household suffrage had in the committee but a single supporter, Mr. Hunt himself, who upon a division constituted the minority. Mr. Hume asked only nineteen members to represent 100,000,000 of inhabitants, including our Indian empire, to which he would give four representatives. It was certainly a small demand, but as a representation of our colonies and dependencies it was ludicrously inadequate.Fox was very indignant, and made no scruple of attributing the conduct of the king, not to mere report, but to fact. "There is," he said, "a written record to be produced. This letter is not to be put in the balance with the lie of the day;" whereupon he pulled from his pocket a copy of the note said to have been written by the king to Lord Temple. When he sat down, Mr. Grenville rose and stated that he had taken down the words read as the king's note, and had shown them to his relative, Lord Temple, who had authorised him to say that such words had never been made use of by him. But Fox demanded whether Lord Temple had not used words to that effect, and Grenville was silent. Fox continued in a very fierce strain, denouncing back-stairs lords and bedchamber politicians, and declared that the best-meant and best-concerted plans of Ministers were subject to the blasting influence of a villainous whisper. He added that he could not continue in office any longer consistently either with his own honour or the interests of the nation. He felt that he was goaded to it, and upbraided for not resigning instantly; but a very honourable majority of that House stood pledged to a great measure, and Ministers were equally bound not to abandon the affairs of State in the midst of so much anarchy. These last words, and the division, which was nearly two to one in favour of Ministers, left it doubtful, after all, whether Fox and his colleagues would resign. As such language, however, could not be used by Ministers with impunity, and a dissolution of the Cabinet was probable, Erskine moved a resolution, pledging the House to persevere in the endeavour to remedy the abuses in the government of India, and declaring "that this House will consider as an enemy to this country any person who shall presume to advise his Majesty to prevent, or in any manner interrupt, the discharge of this important duty." All strangers were excluded, but it was ascertained that the motion was severely censured as an invasion of the king's prerogative; yet the resolution was carried by one hundred and forty-seven votes against seventy-three.
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The queen expired at seven o'clock on Sunday morning, the 1st of August, 1714, not having recovered sufficient consciousness to receive the Sacrament, or to sign her will. During her intervals of sense she is reported to have repeatedly exclaimed, "Oh, my brother, my dear brother, what will become of you!" She was still only in her fiftieth year, and the thirteenth of her reign. Bolingbroke wrote to Swift"The Earl of Oxford was removed on Tuesday, and the queen died on Sunday. What a world is this, and how does fortune banter us!"But though we punished the Dutch for their French predilections, the tide of French success was rolling on in various quarters, and presenting a prospect of a single-handed conflict with France. The powers on whose behalf we had armed were fast, one after another, making terms with the Republicans. Holland was in their hands, and the King of Prussia, on the 5th of April, concluded a peace with them at Basle, in which he agreed to surrender to France all his possessions on the left bank of the Rhine, on condition of retaining those on the right. There was a mutual exchange of prisoners, including the troops of such other German States as had served with Prussia. Spain hastened to follow the example of Prussia. A peace was concluded at the same placeBasleon the 22nd of July, by which she gave up all the Spanish part of San Domingo. To purchase the French evacuation, the Ministers of Spain itself recognised the Batavian Republicwhich was become, in reality, a province of Franceand promised to intercede with Portugal, Naples, Parma, and Sardinia. The Grand Duke of Tuscany followed with a proclamation of a treaty of neutrality with France, on the 1st of March. Sweden and the Protestant Cantons recognised the French Republic and the Batavian one, its ally; and the Duke of Hesse-Cassel, and even George III., as Elector of Hanover, were compelled to an agreement to furnish no more troops to the Emperor of Germany. Whilst the Allies were thus falling away in rapid succession before the forces of[444] Republican France, Britain, instead of taking warning, and resolving to mind only her own business, went madly into fresh treaties with Continental Powers. Russia and Austria were received into fresh treaties of mutual defence. Russia we were to assist with ships, and Austria with twenty thousand foot and six thousand horse, or to pay each month ten thousand florins for every thousand infantry, and thirty thousand florins for every thousand of cavalry. To complete the circle of treaties, Sir Gilbert Elliot, British Governor of Corsica, entered into a treaty with the Dey of Algiers, by which, on payment of a hundred and seventy-nine thousand piastres, he was to restore all the Corsicans captured and enslaved by him, and was to enjoy the strange privilege of carrying all his piratical prizes into the ports of Corsica, and to sell them therewhich was, in fact, licensing this chief of sea-robbers to plunder all the other Italian States.
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