THREE:By the marvellous aids of canals and steam-engines manufacturing power became most immensely augmented in all directions, but especially in the spinning and weaving of cotton goods. The machines invented by Wyatt and Paul in 1733, and improved by Arkwright in 1767, if not invented anew, without knowledge of Wyatt and Paul's plan of spinning by rollersa moot point; the spinning-jenny with seven spindles, invented by James Hargreaves, a weaver near Blackburn, in 1767; and the mule-jenny, combining the working of the machines of Arkwright and Hargreaves, by Samuel Crompton, in 1779, completely superseded spinning cotton yarn by hand. These machines were first worked by water power, but steam power was used after the steam-engine had been invented; and the growth of cotton-spinning became rapid beyond conception, spreading over all Lancashire and the midland counties in a marvellous manner. The cotton-mills of Robert Peel, in Lancashire and Staffordshire; of the Strutts, at Belper, in Derbyshire; of Dale, at New Lanark; of Robinson, at Papplewick; and Arkwright, at Cromford, which raised these gentlemen to vast wealth, being only the leviathans amongst swarming concerns of less dimensions.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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