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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.Still, emissaries continued to pass to and fro, and notwithstanding that the promised armament had failed to reach Ireland, the impatient Irish were determined to rise. In February, 1798, they sent appeals to the French to come over, assuring them that they had three hundred thousand men banded to receive them, who only wanted arms; and Talleyrand sent them word that a fresh armament was preparing. But on the 28th of that month, O'Connor, one O'Coigley, an Irish priest, and Burns, a leading member of the London Corresponding Society, were arrested at Margate as they were about to embark for France. Papers found on O'Coigley, or Quigley, proved his treason. One was a direct invitation to the French to send an army into England, as certain to prevent the sending of British forces into Ireland, and thus to make the descent there sure. He was condemned and executed, but Burns was acquitted, and O'Connor remanded for fresh evidence. That was soon forthcoming; for one Thomas Reynolds, who had been the treasurer for the insurgents in his county, and also a colonel in the intended revolutionary army, being pressed for money, betrayed his associates. In consequence of the information which he gave, a number of the conspirators were arrested at their place of meeting. The four chief leaders, however, were not there, as expected, namely, Lord Edward Fitzgerald, Emmet, Sampson, and MacNevin, but they were afterwards secured. Lord Edward Fitzgerald was surprised at one Murphy's, 153, Thomas Street, Dublin, and made a desperate resistance. He attacked Major Swan, who presented the warrant, with a dagger, and, being a powerful man, was very formidable. Major Swan discharged a pistol at him, but missed. Captain Ryan, next entering, was stabbed mortally by Lord Edward, and a bloody struggle ensued, Captain Ryan, who was, practically speaking, unarmed, behaving with great courage and self-sacrificing heroism. Major Sirr, who had surrounded the house with soldiers, then rushed in and fired at Fitzgerald, and wounded him in the shoulder. He was then overpowered and secured by the soldiers, and conveyed first of all to Dublin Castle and then to Newgate. This took place on the 19th of May. Captain Ryan died of his wounds on the 30th. Lord Edward died of fever, the consequence of his wounds, and of mortification at the failure of the enterprise (June 4).

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ONE:Pitt was not for a moment deceived, and in August the Family Compact was signed. He broke off the negotiation, recalled Stanley from Paris, dismissed Bussy from London, and advised an immediate declaration of war against Spain, whilst it was yet in our power to seize the treasure ships. But there was but one Pitt��one great mind capable of grasping the affairs of a nation, and of seizing on the deciding circumstances with the promptness essential to effect. The usually timid Newcastle became suddenly courageous with alarm. Bute pronounced Pitt's proposal as "rash and unadvisable;" the king, obstinate as was his tendency, declared that, if his Ministers had yielded to such a policy, he would not; and Pitt, having laboured in vain to move this stolid mass of ministerial imbecility through three Cabinet Councils, at last, in the beginning of October, declared that, as he was called to the Ministry by the people, and held himself responsible to them, he would no longer occupy a position the duties of which he was not able to discharge. On the 5th he resigned, and his great Ministry came to an end.224

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ONE:The retired Ministers showed for the most part a very hostile attitude, and Pulteney denounced the new Ministry as a "German Ministry." Walpole, for a little time, affected a liberal conduct, declaring, when the Supply of two hundred and fifty thousand pounds was voted, that, as he had before spoken in its favour, he should now vote in its favour, and would show by his proceedings that he had never intended to make the king uneasy, or to embarrass his affairs. But it was not in Walpole's nature to maintain this air of temperance long. He was as violent in opposition as he was able and zealous in office. Whether in or out of office, he was, in fact, equally unscrupulous. He very soon joined himself to Shippen, Wyndham, Bromley, and the other violent opponents of the reigning family; so that Shippen himself ere long said exultingly that he was glad to see that Walpole was no longer afraid of being styled a Jacobite.

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