THREE: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.In literature, and the amount of genius in every branch of it, as well as in mechanical skill, few ages ever transcended that of George III. Though he and his Ministers did their best to repress liberty, they could not restrain the liberty of the mind, and it burst forth on all sides with almost unexampled power. In fact, throughout Europe, during this period, a great revolution in taste took place. The old French influence and French models, which had prevailed in most countries since the days of Louis XIV., were now abandoned, and there was a return to nature and originality. "The Reliques of Ancient English Poetry," collected by Percy, the Bishop of Dromore, and the publication of the old Scottish ballads by Walter Scott, snapped the spell which had bound the intellect since the days of Pope, and opened the sealed eyes of wondering scholars; and they saw, as it were, "a new heaven and a new earth" before them. They once more felt the fresh breath of the air and ocean, smelt the rich odour of the heath and the forest, and the oracles of the heart were reopened, as they listened again to the whispers of the eternal winds. Once more, as of old to prophets and prophetic kings, there was "a sound of going in the tops of the trees." In Great Britain, Scott, Wordsworth, Coleridge, Southey, Byron, Shelleyin Germany, Goethe, Schiller, Wieland, Richterin Scandinavia, Tegner, Oehlenschl?ger, Stagneliuswith a world of lesser lights around them, stood in the glowing beams of a new morning, casting around them the wondrous wealth of a poetry as fresh as it was overflowing. As in poetry, so in prose invention. The novel and romance came forth in totally new forms, and with a life and scope such as they had never yet attained. From Fielding and Sterne to Godwin and Scott, the list of great writers in this department shed a new glory on the English name. In works of all other kinds the same renewal of mind was conspicuous; history took a prominent place, and science entered on new fields.
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