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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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ONE: TWO:"I dare say," Landor agreed; "it is certainly more[Pg 11] charitable to suppose that men who hacked up the bodies of babies, and abused women, and made away with every sort of loot, from a blanket to a string of beads, were mad. It was creditably thorough for madmen, though. And it was the starting-point of all the trouble that it took Crook two years to straighten out."

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ONE:

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THREE:

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THREE:Not only oratory and literature, but philosophy and science were cultivated with renewed vigour. The line between philosophy and sophisticism was not, indeed, very distinctly drawn. Epicttus severely censures the moral teachers of his time for ornamenting their lectures with claptrap rhetoric about the battle of Thermopylae or flowery descriptions of Pan and the Nymphs.406 And the professed declaimers similarly drew on a store of philosophical commonplaces. This sort of popular treatment led to the cultivation of ethics and theology in preference to logic and metaphysics, and to an eclectic blending of the chief systems with one another. A severer method was inculcated in the schools of Athens, especially after the endowment of their professors by Marcus Aurelius; but, in practice, this came to mean what it means in modern universities, the substitution of philology for independent enquiry. The question was not so much what is true as what did Plato or Aristotle really think. Alexandrian science showed something of the same learned and traditional character in the works of Ptolemy; but the great name of Galen marks a real progress in physiology, as well as a return to the principles of Hippocrates.

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THREE:His depression was more because his air training was over than from a real sense of failure. To Larry, one only failed when one failed to do his bestand that he had not failed in.

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THREE:Jeff! Dick knelt and lifted the mans head.

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THREE:The tall, slim pilot, grinned at the compliments and then went on working his jaws on the gum he habitually chewed.

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THREE:To their left, as they sped on, the lighthouse poked its tower out of the drifting, dispelling fog.Gnostic pessimism marks the extreme point of aberration to which Greek thought was drawn by the attraction of Oriental superstition. How it was rescued from destruction by a new systematisation of its ancient methods and results will be explained in another chapter.

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ONE:To tell him about the life preserverand maybe to deliver it!

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Somebodys on the winghes jumping clear! shouted Dick.Sandy shook his head. Let them take Jeff up to the house, he decided, and watch the two men when they met. Dick, not comprehending the idea behind Sandys headshake, nevertheless, did not finish his sentence.66The Reverend Taylor sat in silence for a time, reflecting. Then he broke forth again, a little querulously. "What in thunderation do they dine at such an hour for?" Cairness explained that it was an English custom to call supper dinner, and to have it very late.
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