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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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  • THREE:The effect of the American war, so extremely unsatisfactory to the nation, had now perceptibly reduced the influence of Lord North and his Ministry. Their majorities, which had formerly been four to one, had now fallen to less than two to one; and this process was going rapidly on. The changes in the Cabinet had been considerable, but they had not contributed to reinvigorate it. The removal of Thurlow to the House of Lords had left nobody equal to him in the Commons to contend with such men as Fox, Burke, Barr, and the several others. Wedderburn had taken Thurlow's place as Attorney-General, and Wallace had stepped into Wedderburn's as Solicitor-General. Lord Weymouth, who had held the posts of Secretary of State for the North and South Departments since the death of the Earl of Suffolk, now resigned, and Lord Hillsborough was appointed to the Southern Department, and Lord Stormont to the Northern Department. Neither of these changes was popular. The Duke of Bedford's party had become more and more cool towards Lord North, and in every respect there was a declining power in the Cabinet. It was at variance with itself, and was fast losing the confidence of the public. Lord George Germaine was still retained by the king as Secretary of the Colonies, notwithstanding the disgust he had excited by the unfortunate planning of the expedition of Burgoyne.

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THREE:At this moment the horse which George II. was riding, taking fright at the noise made by the French in their advance, became unmanageable, and plunged forward furiously, nearly carrying the king into the midst of the French lines. Being, however, stopped just in time, the king dismounted, and placing himself at the head of the British and Hanoverian infantry on the right, he flourished his sword and said, "Now, boys! now for the honour of England! Fire, and behave bravely, and the French will soon run!"
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THREE:[458]Still, I should have seen his facemaybe a mask, though

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FORE:On the 31st of March Dundas introduced the Indian Budget, and soon afterwards Pitt congratulated the country on the fact that, so far from the American war having injured the trade or the power of Britain, the fact was that our shipping had increased considerably more than one-third since 1773, and we had been continually gaining strength even during the American war, and had relieved ourselves of a load of expense always incurred by the government of the States. This was an admirable argument for declaring all our colonies independent, if it meant anything; but Pitt went on seconding, and even surpassing Dundas in the prognostications of a long peace. What such ministerial speeches were worth was shown on the 5th of May, only a month and five days since the prophecy of Dundas, and not three weeks since his own prophecy, by Pitt announcing that the peace was already disturbed with Spain. It appeared that the high prices obtained by the crews of Captain Cook's ships, the Discovery and Resolution, at Canton, on his exploring voyages in the South Seas, for the ill-selected, half-worn furs brought from the north-west coast of America, had attracted the attention of adventurers under the direct protection of the East India Company. Mr. Mears, who had been a lieutenant in the royal navy, and a Mr. Tippin, were sent out in command each of a vessel. Tippin was wrecked on the coast of Kamtschatka; but Mears reached Prince William's Sound and wintered there, opening a good trade with the natives. In the spring of 1788 he discovered Nootka Sound, a fine bay on the west side of a small island on the west coast of Vancouver's Island. There he formed a settlement, making a bargain with the chief for it. He went to Canton with furs and was opening a fine trade, when the Spaniards came down on the settlement, seized four British vessels, but permitted two United States' vessels to remain unmolested. Part of the English crew were shipped in one of the American vessels to China, and the rest suffered to depart in one of their own ships after it had been plundered. The Spanish commander then settled himself in the new colony, and Spain set up a[372] general claim to all coasts and islands, and the whole Pacific as far as China.To acquire popularity, the Rockingham administration made a further restriction on the import of foreign silks; they made a modification of the Cider Bill, but this only extended to taking the duty off cider belonging to private persons, and was regarded as a bribe to the country gentlemen. They induced the House of Commons to pass a resolution on the 25th of April, declaring general warrants illegal, and, if for seizing any member of the House, a breach of privilege. But when they passed this in the form of a bill, the Lords threw it out; and a second bill for the same purpose failed in the Commons. Still, these conciliatory measures did not procure them confidence. Colonel Barr refused them his support; General Conway was sick of his post, and longed to be out of it; and Henley, Lord Northington, as Chancellor, was found actually intriguing against his colleagues. With the Court they grew into no favour, because the king thought them backward in procuring from Parliament suitable provision for his younger brother. It was clear that this could not last. To cap the climax of weakness, the Rockingham Cabinet came to open issue amongst themselves on the plan of government for Canada. Northington informed the king that they could not go on; and the king, on the 7th of July, gave the Chancellor a letter to Pitt, inviting him to form a new Ministry. The same day his Majesty also informed the existing Cabinet of the change which he contemplated. Conway[190] said frankly, it was the best thing the king could do; but Lord Rockingham and the Duke of Newcastle were deeply offended.

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FORE:On the death of Stanhope, Sir Robert Walpole was left without a rival, and he received his commission of First Lord of the Treasury on the 2nd of April, and from this period down to 1742 he continued to direct the government of Great Britain. His chief anxiety now was to restore the public credit. He drew up, as Chairman of the Committee of the Commons, a report of all that had been lost in the late excitements, and of the measures that had been adopted to remedy the costs incurred. Amongst these were the resolutions of the House respecting the seven and a half millions the directors of the South Sea Company had agreed to pay to Government; more than five had been remitted, and we may add that on the clamorous complaints of the Company the remainder was afterwards remitted too. The forfeited estates had been made to clear off a large amount of encumbrance, the credit of the Company's bonds had been maintained, and thirty-three per cent. of the capital paid to the proprietors. Such were the[49] measures adopted by the Commons, and these being stated in the report to the king, a Bill was brought in embodying them all. Many of the proprietors, however, were not satisfied. They were very willing to forget their own folly and greediness, and charge the blame on the Government. On the second reading of Walpole's Bill they thronged the lobby of the House of Commons. The next day the Bill was carried, and gradually produced quiet; but Walpole himself did not escape without severe animadversions. He was accused of having framed his measures in collusion with the Bank, and with a clear eye to his own interest; but he had been strenuously vindicated from the charge, and on the whole the vigour and boldness with which he encountered the storm and quelled it deserve the highest praise, and may well cover a certain amount of self-interest, from which few Ministers are free.On the opening of the Session, the king called the attention of Parliament to the state of Canada. That colony had flourished since it had come into the possession of Britain, especially since the passing of the Bill of 1774, which had given freedom to the Roman Catholic church there, the church of the French inhabitants. But one part of the colony was still inhabited by the descendants of the French, and another by those of the English and Americans. It was, therefore, found desirable to put an end to the competition which still existed, from differences of faith and of national sentiments and customs, between the two races, by dividing the colony into two provinces, the one inhabited by the French to be called Lower Canada, and the other, inhabited by the British, to be called Upper Canada. On the 25th of February the king sent a message to Parliament, proposing to carry out this division; and on the 4th of March Pitt moved to bring in a Bill for that purpose, and stated the intended plan of arrangement. Besides an elective assembly, each province was to have a Council, the members of which were to be appointed for life, with hereditary succession to the descendants of such as should be honoured with hereditary titles, which titles were to confer on an inhabitant of either province the dignity of a member of the Council. Landed property was to be held according to English law, in soccage tenure; the Habeas Corpus was to be established in both provinces. An allotment of lands was to be made for the Protestant clergy; but, as the majority of the inhabitants in the Lower Province would be Catholic, the Council and Assembly were empowered to allot lands also to their clergy, which allotment, on sanction of the Crown, was to be valid without intervention of Parliament. No taxes were to be imposed by the British Government except such as were necessary for the regulation of commerce, and these were to be levied by the provincial legislature to prevent any heartburnings like those which had occurred in the American States.

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FORE:Cairness went on, back to the barracks, and sitting at the troop clerk's desk, made a memory sketch of her. It did not by any means satisfy him, but he kept it nevertheless.I cant make it, Sandy slowed. Its all off!

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FORE:But the public attention was now freely withdrawn from Warren Hastings to much more exalted personages. On the 11th of July the king in person prorogued Parliament. He then appeared in his usual health, but soon afterwards it was whispered about that he was far from well, and had gone to Cheltenham by the advice of his physicians. When he returned in the autumn, the opinion of his derangement had gained ground, and, to remove this, a Drawing-room was held at St. James's on the 24th of October. Every means had been taken to secure the impression of his Majesty's saneness, but they failed, and the contrary impression was confirmed. Still, the king returned to Windsor, and the endeavours were strenuously maintained by the queen to conceal the melancholy fact from the public; but this was too positive to be long suppressed. On the 5th of November he met his son, the Duke of York, after he had been riding about Windsor Forest for five hours in a state of frenzy, and, bursting into tears, wished that he was dead, for that he felt he should go mad. No doubt he remembered his old sensations when he had a short but sharp fit of lunacy in 1764. The time was hurrying on which must reveal the whole truth; the prorogation of Parliament terminated on the 20th of November; the House would meet, and the king would not be able to attend and open the Session. Pitt was in a state of indescribable anxiety, having no precedents to guide him.

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    FORE:All these causes of unpopularity were rendered more effective by the powerful political party which now assailed him. Pitt led the way, and the Dukes of Devonshire, Bolton, and Portland, the Marquis of Rockingham, the Earls of Temple, Cornwallis, Albemarle, Ashburton, Hardwicke, and Bessborough, Lords Spencer, Sondes, Grantham, and Villiers, James Grenville, Sir George Savile, and other Whigs, presented a formidable phalanx of opponents in both Houses. The measures, too, which he was obliged to bring forward, were certain to augment his discredit. The funded debt had grown to upwards of a hundred millions, and there were three millions and a half besides unfunded. It was necessary to raise a new loan, and, moreover, to raise a new tax, for the income was unequal to the expenditure, even in time of peace. The Chancellor of the Exchequer, Dashwood, was not a man likely to make these new burdens go down easily. He issued the new loan to the public with so little advertisement, that the friends of the Ministers secured the greater part of the shares, and they soon rose to eleven per cent. premium, by which they were enabled, at the public cost, to make heavy sums. The tax which Sir Francis proposed was one on cider and perry, besides some additional duties on wines. There was at once an outcry in the City against this tax, led on by the Lord Mayor, Alderman Beckford, a great friend of Pitt. The cry was only too sure to find a loud echo from the cider-growing districts. Bute and his Chancellor were quickly compelled to reduce the proposed impost from ten shillings a hogshead, to be paid by the buyer, that is, by the merchant, to four shillings, to be paid by the grower. The tax thus cut down was calculated to produce only seventy-five thousand poundsa sum for which it was scarcely worth while to incur so much odium.He took up his paper again. "He ain't told me the whole thing yet," he said.
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    FORE: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.
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    FORE:Bute made overtures to France through the neutral Court of Sardinia. Louis XV. and his Ministers caught at the very first whisper of such a thing with the eagerness of drowning men; a sufficient intimation to an able and cautious minister, that he might safely name his own terms. The ambassadors, however, soon found that the real business of the treaty was transacted between Bute, on the part of Britain, and the Duke de Choiseul, on that of France; and that not through ambassadors, but through Sardinian envoys.

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H. F. Prittle, made Lord Dunally.Equally absurd.PRINCE CHARLIE'S VANGUARD AT MANCHESTER. (See p. 100.)WILLIAM PITT. (After the Portrait by John Hoppner, R.A.)It would have become the sentiment of the crowd in another moment, but the little codger took up the second glass, and raised it again. Then it fell smashing to the floor. A second bullet had broken his wrist.[See larger version]
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