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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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LORD GREY.
THREE: Meeting of ParliamentLord Chatham's Amendment to the AddressThe News of SaratogaTreaty between France and AmericaWashington in Valley ForgeIntrigues against himViolation of Burgoyne's ConventionDebates in ParliamentAttempt to bring Chatham into the MinistryLord North's Conciliation BillsThe French NotePatriotism of the NationThe King refuses to send for ChathamHis last Speech and DeathHonours to his MemoryBurke's Measure of Irish ReliefRepeal of Laws against Roman CatholicsExplosion of Scottish BigotryTurgot's WarningsNaval Engagement off UshantFailure of Lafayette's Canadian ExpeditionClinton compelled to evacuate PhiladelphiaFailure of Lord North's CommissionersD'Estaing and Sullivan attempt to take Rhode IslandSubsequent Proceedings of D'EstaingCourts-martial of Keppel and PalliserThe Irish VolunteersSpain declares WarMilitary PreparationsJunction of the French and Spanish FleetsThey retire from the ChannelD'Estaing in the West IndiesHis Attempt on SavannahWeakness of Lord North's MinistryMeeting of ParliamentLord North's Irish BillRichmond, Shelburne, and Burke attempt Economic ReformsThe Meeting at York petitions for Reform of ParliamentBurke's Economic SchemeNorth's Man?uvreFurther Attempts at ReformThe Westminster MeetingDunning's MotionDefeat of his later Resolutions"No Popery" in ScotlandLord George Gordon's AgitationThe Riots and their ProgressTheir SuppressionTrial of the PrisonersRodney relieves GibraltarDestruction of English MerchantmenDisputes with HollandThe Armed Neutrality of the NorthCapture of CharlestonDeclaration of South CarolinaBattle of CamdenExpedition into North CarolinaArrival of the French SquadronRodney in the West IndiesArnold's TreacheryTrial and Death of AndrBreach with HollandAttacks on Jersey and GibraltarMutiny in the Army of WashingtonArnold's Raids in VirginiaCornwallis in North CarolinaHis Engagements with GreeneHis March into VirginiaRawdon and GreeneBattle of Eutaw SpringsSiege of York TownThe American Armies close round himCornwallis compelled to Surrender.[470]
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THREE:When the news of this distractedly hopeless condition of the Council in Calcutta reached London, Lord North called upon the Court of Directors to send up to the Crown an address for the recall of Hastings, without which, according to the new Indian Act, he could not be removed till the end of his five years. The Directors put the matter to the vote, and the address was negatived by a single vote. The minority then appealed to the Court of Proprietors, at the general election in the spring of 1776, but there it was negatived by ballot by a majority of one hundred, notwithstanding that all the Court party and Parliamentary Ministerialists who had votes attended to overthrow him. This defeat so enraged Lord North that he resolved to pass a special Bill for the removal of the Governor-General. This alarmed Colonel Maclean, a friend of Hastings, to whom he had written, on the 27th of March.[328] 1775, desiring him, in his disgust with the conduct of Francis, Clavering, and Monson, and the support of them by the Directors, to tender his resignation. Thinking better of it, however, he had, on the 18th of the following May, written to him, recalling the proposal of resignation. But Maclean, to save his friend from a Parliamentary dismissal, which he apprehended, now handed the letter containing the resignation to the Directors. Delighted to be thus liberated from their embarrassment, the Directors accepted the resignation at once, and elected Mr. Edward Wheler to the vacant place in the Council.
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THREE:But there was no rest for Frederick. Daun was overrunning Saxony; had reduced Leipsic, Wittenberg, and Torgau. Frederick marched against him, retook Leipsic, and came up with Daun at Torgau on the 3rd of November. There a most sanguinary battle took place, which lasted all day and late into the night. Within half an hour five thousand of Frederick's grenadiers, the pride of his army, were killed by Daun's batteries of four hundred cannon. Frederick was himself disabled and carried into the rear, and altogether fourteen thousand Prussians were killed or wounded, and twenty thousand of the Austrians. This scene of savage slaughter closed the campaign. The Austrians evacuated Saxony, with the exception of Dresden; the Russians re-passed the Oder, and Frederick took up his winter quarters at Leipsic.
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