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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.Immediately after this, Fox encouraged the formation of a Society of Friends of the Liberty of the Press, of which Erskine and Horne Tooke were members. As several French emissaries were traversing the country disseminating their opinions, Lord Grenville, on the 19th of December, 1792, introduced a bill into the House of Lords, subjecting aliens to certain regulations not included in the ordinary Alien Bill. All foreigners were to announce themselves on their arrival, and surrender any arms brought with them; they were to take out passports, and to have them visd on every fresh removal through the country, so that their movements might be known to the authorities; those who had arrived during the year 1792 to be particularly observed, and the motives for their coming ascertained; all such foreigners as received allowances from the British Government to be distributed into particular districts, under the eye of the authorities. With some opposition, this Bill was carried. The Marquis of Lansdowne forthwith moved that a negotiation should be immediately opened with the French Government, requiring it to receive back the numerous Frenchmen driven into exile, or to provide for their support, and at the same time to endeavour to save Louis XVI. from the terrible fate which threatened him. This was negatived on the declaration of other lords, who said that both propositions would be useless; the latter one would in all probability hasten, rather than avert, the fate of the French king. In the Commons, Fox and Sheridan strenuously resisted the new Alien Bill, and Burke as vehemently supported it. He declared that no measures of precaution could be too strict; that thousands of daggers had been manufactured in Birmingham for France, and intending to produce a startling effect he drew an actual dagger from his bosom, and flinging it on the floor of the House exclaimed, "That is what you are to obtain[412] from an alliance with France. You must equally proscribe their tenets and their persons; you must keep their principles from your minds, and their daggers from your hearts!" In the French Convention such an action would have created a sensation, but in the matter-of-fact British Parliament it produced only surprise followed by laughter. Fox endeavoured as much as possible to weaken the sense of danger of French principles, though he expressed his abhorrence of the September massacres. The Bill was passed, and was succeeded by one prohibiting the circulation of French assignats, bonds, promissory notes, etc., and another, prohibiting the exportation of naval stores, saltpetre, arms, and ammunition.
Slider 1 ONE:That very afternoon he passed a news stand and was chained in his tracks by a small headline in black type at one corner of a paper, in a box, or enclosure of ruled lines that set it off from the other news.
Slider 2 ONE:Defeated in this object, the Patriots united all their force to embroil us with Spain. There were many causes in our commercial relations with Spain which led to violent discontent amongst our merchants. They found the trade with the Spanish settlements in America exceedingly profitable, but they had no right, beyond a very limited extent, to trade there. The Spaniards, though they winked at many encroachments, repressed others which exceeded these with considerable vigour. Their Coastguard insisted on boarding and searching our vessels which intruded into their waters, to discover whether they were bringing merchandise or were prepared to carry away colonial produce. By the treaty of 1670 Spain had recognised the British colonies in North America, and England had agreed that her ships should not enter the ports of the Spanish colonies except from stress of weather, or with an especial licence from the Spanish Government to trade. By the treaty of 1729 we had agreed to the old regulations regarding trading to the Spanish Main, namely, that we should have the Assiento, or right of supplying these colonies with slaves, and that, besides this, we should only send one ship annually to the Spanish West Indies and South America. As fast as that authorised ship discharged its cargo in a Spanish port, she received fresh supplies of goods over her larboard side from other vessels which had followed in her wake, and thus poured unlimited quantities of English goods into the place. Other English traders did not approach too near the Spanish coasts, but were met in certain latitudes by South American smugglers, who there received their goods and carried them into port. In short, such a system of contraband trade was carried on in these waters by our merchants, that English goods in abundance found their way all over the Spanish American regions, and the great annual fair for goods imported from or by Spain dwindled into insignificance.
Slider 3 ONE:Felipa nodded. "A very little," she said.Imet the estate caretaker in the village. He asked me to run on ahead and tell youand Mr. Whiteside Sandy watched, he could not find a Six-B slotted bolt anywhere!
ONE:

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THREE:

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ONE:[319]Cairness rode at a walk round and round the crowding, snorting, restless herd of cattle that was gathered together in the pocket of the foot-hills under the night sky. There were five other cow-boys who also rode round and round, but they were each several hundred yards apart, and he was, to all intents, alone. Now and then he quickened the gait of his bronco and headed off some long-horned steer or heifer, that forced itself out of the huddled, dark mass, making a break for freedom. But for the most part he rode heavily, lopsided in his saddle, resting both hands on the high pommel. He had had time to unlearn the neat horsemanship of the service, and to fall into the slouchy manner of the cow-boy, skilful but unscientific. It was a pitchy night, in spite of the stars, but in the distance, far off across the velvety roll of the hills, there was a forest fire on the top of a range of mountains. It glowed against the sky and lighted the pocket and the prairie below, making strange shadows among the cattle, or bringing into shining relief here and there a pair of mighty horns. A wind, dry and hot, blew down from the flames, and made the herd uneasy.

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THREE:By this treaty almost everything was given up which had kept Spain and Austria in war and conflict for many years, and by themselves and their allies had steeped Europe in blood. The King of Spain agreed to sanction the Ostend Company, to yield the long-contested point regarding the exclusive mastership of the Golden Fleece. He surrendered the right to garrison with Spanish troops the fortresses of Tuscany. He acknowledged the Emperor's right to Naples, Sicily, the Milanese, and Netherlands, and guaranteed what was termed the Pragmatic Sanction; that is, the succession of the hereditary states of Austria in the female line. This was a concession of immense importance to the Emperor, who had only daughters, and whose claim to the Flemish and Italian dominions might thus have been contested by Philip on the Emperor's death. Thus, before the emotions of a family quarrel, fell at once all the mighty questions which had rent and desolated Europe for a quarter of a century! Both the sovereigns engaged to afford mutual support should either be attacked. Charles agreed to bring into the field twenty thousand foot and ten thousand horse, Philip twenty thousand troops and fifteen ships of war.Gates replied that he was well aware that General Burgoyne's army was reduced to the last extremity; that it had lost the greater part of its men by repeated defeats, sickness, etc., together with their artillery, horses, and ammunition; that their retreat was cut off, and, therefore, he could listen to nothing but an absolute surrender. Burgoyne said he would never admit that his retreat was cut off whilst he had arms in his hands; and Gates, who knew that Clinton was on his march, and might soon alter the whole face of things, was only too anxious to have Burgoyne's army out of the way. After some preliminaries, therefore, to save appearances, on the 16th it was agreed that the British should march out of their camp with all the honours of war; should deposit their cannon on the banks of the Hudson, and there pile their arms at the command of their own officers; that the troops, of whatever nation they might be composed, should retire in all security and honour to Boston, where they should be provided with all necessary comforts until they embarked for England, under condition of not serving against the United States again during that war; that the Canadians should be allowed to return in all honour to their own country; and that in no case should officers be separated from their own men. These were not such terms as are usually granted to conquered armies; and the reason was, that Clinton was every day drawing nearer. Scarcely were these terms agreed on, when this fact became known to Burgoyne. For a moment he hesitated whether he should sign the contract; but, on consultation with his officers, he felt himself bound in honour to ratify it, and accordingly, the next morning, the 17th of October, the deed was signed, and the troops, marching out, grounded their arms.
THREE:When it seemed that he could not stay as he was another instant, the door was slightly moved, and then softly closed. So quiet was the operation that he did not hear the latch click. He had detected no change in the color of the door itself as it hung, slantwise to his view, and he heard no sound of feet on the cement.
THREE:Bolingbroke, now restored to his estates, though the attainder still deprived him of his seat in the House of Lords, endeavoured to create a new species of opposition in Parliament. He retained his influence with the Duchess of Kendal, and cultivated that of the ultra-Tories. Still more, he soon discovered that William Pulteney, the most eloquent man in the House, had grown disgusted with Walpole, who could never bear any man of pre-eminent ability near the throne except himself. Pulteney had been one of the steadiest friends of the late queen's Government, and of the Protestant succession. Under George he had been made Secretary at War. He had adhered to Walpole when he was sent to the Tower for corruption, and in the great schism of 1717. Yet Walpole had carefully excluded him from any high post in the Cabinet, and had endeavoured to veil his jealousy of him by offering to procure him a peerage, by which he would have removed him from the active sphere of the House of Commons. Pulteney saw the object, and rejected the specious favour. Instead of conferring on Pulteney some[53] office worthy of his talents, Walpole then put him into that of Cofferer of the Household. In the state of indignation which this paltry appointment raised in him Bolingbroke soon induced Pulteney to put himself at the head of a large body of Oppositionists, under the title of "Patriots." In this character he made some smart attacks on Walpole and his heavy drafts on the Civil List for his friends, for which he was dismissed, and joined Bolingbroke in a bold attempt to write down the Minister. Between them the celebrated paper The Craftsman was planned and established, and they became the bitterest and most persevering assailants of Walpole.[81]
THREE:It seems queer to me, Dick spoke. Ive thought a lot about it. The fellow who played ghost must be searching for something. What can it be?
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ONE:CHAPTER XIII THE HOODOO STRIKES

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THREE:"THE POLLING."

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THREE:

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THREE:Felipa started back so violently that she struck against the log she had been sitting upon, and lost her balance.

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THREE:Theres money well never get, said Sandy.

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ONE:"Such as"

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TWO:It had not occurred to her for some hours after Mrs. Campbell had told her of Landor's death that she was free now to give herself to Cairness. She had gasped, indeed, when she did remember it, and had put the thought away, angrily and self-reproachfully. But it returned now, and she felt that she might cling to it. She had been grateful, and she had been faithful, too.[Pg 286] She remembered only that Landor had been kind to her, and forgot that for the last two years she had borne with much harsh coldness, and with a sort of contempt which she felt in her unanalyzing mind to have been entirely unmerited. Gradually she raised herself until she sat quite erect by the side of the mound, the old exultation of her half-wild girlhood shining in her face as she planned the future, which only a few minutes before had seemed so hopeless.

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TWO:The buck went on, the while he held a piece of venison in his dirty hand and dragged at it with his teeth, to say that there was a feeling of great uneasiness upon the reservation.Dick had no difficulty in learning, when he got the executives of Bennett field interested that the seaplane was an old one belonging to a commercial flying firm operating from the airport.

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ONE:

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On the 18th of November Lord Cornwallis crossed the North River with six thousand men, and, landing on the Jersey side, began to attack Fort Lee, standing nearly opposite Fort Washington. The garrison fled, leaving behind all its tents standing, all its provisions and artillery. Washington was compelled by this to fall back from his position on the Croton, thence to Brunswick, Princeton, Trenton, and finally to the Pennsylvanian side of the Delaware. Lord Cornwallis followed at his heels. Cornwallis penetrated to the remotest parts of east and west Jersey, and everywhere the inhabitants received him as a friend and deliverer. On the 24th of November Lord Cornwallis was approaching Brunswick, when he received orders to halt. By this means, Washington was allowed to escape across the Delaware. It was not till the evening of the 16th of December that Cornwallis received[232] orders to proceed, and, though he made all haste, he was too late. The rear of the American army quitted Princeton as the van of the English army entered it. Washington, in headlong haste, fled to Trenton, and began ferrying his troops over the Delaware. When Cornwallis reached Trenton, at nine o'clock the next morning, he beheld the last boats of Washington crossing the river. Once over the water, the remains of the American troops lost all appearance of an army. They were a mere dirty, worn-out, ragged, and dispirited mob. Washington had taken the advantage of the halt of Cornwallis to collect all the boats from Delaware for the distance of seventy miles, so that the English could not cross after them. Cornwallis, being thus brought to a stand, put his army into winter quarters between the Delaware and the Hackensack.This was not what Cairness wanted either. He persisted in the silence. A prolonged silence will sometimes have much the same effect as solitary confinement. It will force speech against the speaker's own will.France and England being already agreed, independently of the consent of the rest of the Allies, the conference began on a basis which was sure to lead to immediate confusion and contention. The Dutch plenipotentiaries were astonished to see the different tone displayed by the French ambassadors. They were no longer the humble personages that they had been at Gertruydenberg. The Abb Polignac, who was the chief speaker, assumed a high and confident manner. The French envoys, therefore, when the Dutch deputies demanded that the treaty should be carried out on the basis of the terms offered at Gertruydenberg, told them plainly that matters were now quite altered, and that the conditions offered at Gertruydenberg could not be entertained by France at all, but those to which the Queen of England had agreed in London; that unless the Dutch were willing to treat on these conditions, they would find their allies concluding peace without them, and that on the spot. The chief article to which the Allies objected was the concession of Spain to Philip; and they were the more resolute because it had become imminently necessary from changes that had now taken place in France. The Dauphin had died of the smallpox during the last year. The title had been conferred on his son, the Duke of Burgundy; but the Duke of Burgundy had just expired, too, in the sixth year of his age; and of the Dauphin's children there only now remained the Duke of Anjou, a sickly child of two years old. This child was the only remaining obstacle to Philip, the King of Spain, mounting the throne of France. The danger was so obvious of the union of France and Spain in a very few yearsto prevent which had been the object of the warthat the English Government was compelled to demand from Philip a distinct renunciation of all claims on the French Crown, and from France as distinct a one in the treaty that any such claim should be resisted. St. John entered into a correspondence with De Torcy, the French minister, on this point; and the answers of De Torcy must have shown the English Government how useless it was to attempt to bind Frenchmen on such matters. He replied that any renunciation on the part of Philip or any French prince would be utterly null and void according to the laws; that on the king's death the next heir male of the royal blood succeeded, independently of any disposition or restriction of the late king, or any will of the people, or of himself, even; that he was, by the laws of France, sovereign by right of succession, and must be so, in spite of any circumstances to the contrary; that neither himself, the throne, nor the people had anything to do with it, but to obey the constitution. Therefore, even if Philip did bind himself to renounce the Crown of France, should the present Dauphin die, he would be king, independently of any circumstances whatever. Another expedient, however, was proposed by the English ministry, who must have seen clearly enough the folly of their treating on such hollow ground. That was, if Philip did not like to renounce the Crown of France, he should at once quit the throne of Spain, and agree that the Duke of Savoy should take it and the Indies, surrendering his own territories to Philip, to which should be added Naples, Sicily, Montserrat, and Mantua, all of which, whenever Philip succeeded to the French Crown, should be annexed to France, with the exception of Sicily, which should be made over to Austria. Louis XIV. professed to be delighted with this arrangement, but Philip would not listen to it, showing plainly that he meant, notwithstanding any renunciation, to retain his claim to both France and Spain.[61]
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