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.
TWO:Mrs. Campbell took it as he did, for a matter of course. She wasted no words in expressing admiration for what he had done, but kept to the main issue, making herself useful, as women are rarely content to do when they deal with men, without indulging her taste for the sentimental. "Suppose I were to take her?" she suggested.Or, again, we may say that two principles,the Nominalistic as well as the Realistic,are here at work. By virtue of the one, Spinoza makes Being something beyond and above the facts of experience. By virtue of the other he reinvests it with concrete reality, but a reality altogether transcending our powers of imagination. Very much, also, that Plotinus says about his One might be applied to Spinozas Substance, but with a new and positive meaning. The First Cause is above existence, but only existence as restricted within the very narrow limits of our experience, and only as infinite reality transcends the parts which it includes.
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