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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.The last straw was laid on when an Indian policeman arrested a young buck for some small offence. The buck tried to run away, and would not halt when he was told to. The chief of police fired and killed a squaw by mistake; and though he was properly sorry for it, and expressed his regret, the relatives and friends of the deceased squaw caught him a few days later, and cutting off his head, kicked it round, as they had seen the White-eye soldier do with his rubber foot-ball. Then they, aroused and afraid too of punishment, fled from the reservation and began to kill.
Slider 1 ONE:Completely disheartened by this result, Wolfe for a moment felt despair of his object, and in that despairing mood, on the 9th of September, he wrote to Pitt. He said that, "to the uncommon strength of the country, the enemy had added, for the defence of the river, a great number of floating batteries and boats; that the vigilance of the Indians had prevented their effecting anything by surprise; that he had had a choice of difficulties, and felt at a loss how to proceed; and he concluded with the remark, that his constitution was entirely ruined, without the consolation of having done any considerable service to the State, or without any prospect of it."
Slider 2 ONE:Plotinus passes by an almost insensible transition from the more elementary and analytical to the more constructive portion of his philosophy. This naturally falls into two great divisions, the one speculative and the other practical. It has to be shown by what necessity and in what order the great cosmic principles are evolved from their supreme source; and it has also to be shown in what way this knowledge is connected with the supreme interests of the human soul. The moral aspect of Neo-Platonism is not at first very clearly distinguished from its metaphysical aspect; and both find their most general solution in the same line of thought that has led us up to a contemplation of the ultimate One. For the successive gradations of our ascent represent, in an inverted order, the steps of creative energy by which all things are evolved from their primal source; while they directly correspond to the process of purification through which every soul must pass in returning from the exile of her separate and material existence to the happiness of identification with God. And here we at once come on the fundamental contradiction of the system. What we were so carefully taught to consider as one and nothing more, must now be conceived as the first cause and the supreme good. Plotinus does, indeed, try to evade the difficulty by saying that his absolute is only318 a cause in relation to other things, that it is not so much good as the giver of good, that it is only one in the sense of not being many.468 But after making these reservations, he continues to use the old terms as confidently as if they stood for the ideas usually associated with them. His fundamental error was to identify three distinct methods of connecting phenomena, in thought, with each other or with ourselves. We may view things in relation to their generating antecedents, in relation to other things with which they are associated by resemblance or juxtaposition, or in relation to the satisfaction of our own wants. These three modes of reference correspond to Aristotles efficient, formal, and final causes; but the word causation should be applied only to the first. Whether their unfortunate confusion both by Aristotle and by his successors was in any appreciable degree due to their having been associated by him under a common denomination, may reasonably be doubted. It is rather more probable that the same name was given to these different conceptions in consequence of their having first become partially identified in thought. Social arrangements, which have a great deal to do with primitive speculation, would naturally lead to such an identification. The king or other chief magistrate stands at the head of the social hierarchy and forms the bond of union among its members; he is the source of all authority; and his position, or, failing that, his favour, is regarded as the supreme good. Religion extends the same combination of attributes to her chief God; and philosophy, following on the lines of religion, employs it to unify the methods of science and morality.
Slider 3 ONE:Theyre diving! cried Sandy.
ONE:The man came while I was there, Larry told Dick. He is named Deane, and hes a nice-looking, quiet chap. It seems that when he landed with his chute, he came down and struck some driftwood or an old log, and it knocked the wind out of him. When he got back strength to cut himself loose, he tried to get to the seaplane but his landing, as I explained the locationwell, you saw it when you flew overhis landing was made a couple of hundred yards away. I got the gardener to take me to the place, yesterday, in the hydroplane. There was a big, sunken log close to the torn chute.

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THREE:Signaling! cried Larry, cutting the gun and turning to observe.

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ONE:

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THREE:
THREE:Gradually it began to form itself in his softened brain what he meant to do. It is safest to avenge oneself upon dumb beasts, after all. By and by he began to feel along the adobe wall, and when he found a niche for his foot, he started to clamber up. He had climbed so many corral walls, to sit atop of them with his great, booted legs dangling, and meditatively whittle when he should have been at work, that it was easy for him, and in a moment he was on the shingled roof, lying flat. In another he had dropped down upon a bed of straw.
THREE:She warned them off with a careless "ukishee." But they did not go. Some ten pairs of eyes, full of unmistakable menace, followed her every movement. She let down the tent flaps and tied them together, taking her time about it. She was angry, and growing angrier. It was unendurable to her to be disobeyed, to have her authority put at naught on the few occasions when she chose to exercise it. She could keep her temper over[Pg 91] anything but that. And her temper was of the silent sort, rolling on and on, like a great cold swell at sea, to break finally against the first obstacle with an uncontrollable force. She had never been really angry but twice in her life. Once when she was in school, and when a teacher she liked, judging her by her frequent and unblushing lies to a teacher she disliked, doubted her word upon an occasion when she was really speaking the truth. It was after that that she had written to her guardian that she would run away. The second time had been when Brewster had tried to bully her. She knew that it would soon be a third time, if the Indians went on annoying her. And she was far more afraid of what she might do than of what they might do. But she took off the waist of her gown and began to brush her hair, not being in the least squeamish about letting the Apaches see her fine white arms and neck, if they were to open the flaps again.
THREE:The lieutenant himself did neither, but he argued that his mind was never off it.
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ONE:The distance is too great to permit spectators to observe it, the ships scatter, seek different elevations, or in other ways fail to keep that close formation which makes of the hundred-yard dash such a blood-stimulating incident."Miss McLane will go, I suppose?" asked Felipa.

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THREE:Sandy and Dick, standing by the airplane on the beach, whirled to see a short, stoutish man in regulation flying togs come unexpectedly into view from behind an inshore hillock of sand.

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THREE:[54]

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THREE:When the hangar was first haunted, and we found chewing gum that the ghost had put there, as we thought, he told an interested trio, none of us could work out any answer to the puzzle.The unfortunate king was obliged to submit, and retain his present incompetent Ministers. These incompetent Ministers, on their part, now believing themselves indispensable, became at once proportionably assuming, and even insolent, in their demands. Grenville and Bedford put several direct demands to the king as the conditions even of their condescending to serve him: that he would promise to have no further communications with Lord Bute, nor to allow him the slightest share in his councils; that he would dismiss Bute's brother, Mr. Mackenzie, from the office of Privy Seal of Scotland, and from the management of Scottish affairs; that he would dismiss Lord Holland from being Paymaster of the Forces, and appoint Lord Granby Commander-in-Chief. The king, after some demur, submitted to all these conditions, except the appointment of Lord Granby, and escaped that only by Granby himself declining the post. George submitted, because he could not help it, to these imperious conditions; but he inly resented them, and did not avoid showing it by his coldness towards both Bedford and Grenville. At this, the haughty Bedford took fire, and read the king a severe lecture before leaving town for Woburn. He complained of the king showing kindness to the enemies of the administration; and demanded whether the king had kept his promise not to consult Lord Bute.

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THREE:Whilst Parliament was busy with the Septennial Bill, George I. was very impatient to get away to Hanover. Like William III., he was but a foreigner in England; a dull, well-meaning man, whose heart was in his native country, and who had been transplanted too late ever to take to the alien earth. The Act of Settlement provided that, after the Hanoverian accession, no reigning sovereign should quit the kingdom without permission of Parliament. George was not content to ask this permission, but insisted that the restraining clause itself should be repealed, and it was accordingly repealed without any opposition. There was one difficulty connected with George's absence from his kingdom which Council or Parliament could not so easily deal with: this was his excessive jealousy of his son. The king could not take his departure in peace if the Prince of Wales was to be made regent, according to custom, in his absence. He proposed, therefore, through his favourite, Bothmar, that the powers of the prince should be limited by rigorous provisions, and that some other persons should be joined[34] with him in commission. Lord Townshend did not hesitate to express his sense of the impolicy of the king's leaving his dominions at all at such a crisis; but he also added that to put any other persons in commission with the Prince of Wales was contrary to the whole practice and spirit of England. Driven from this, the king insisted that, instead of regent, the prince should be named "Guardian and Lieutenant of the Realm"an office which had never existed since the time of the Black Prince.Cairness was taciturn. It was some moments before he could control his annoyance, by the main strength of his sense of justice, by telling himself once again that he had no right to blame Felipa for the manifestations of that nature he had known her to possess from the first. It was not she who was changing.

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ONE:

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TWO:That all fitted in, Dick asserted.

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TWO:She had been sufficiently ashamed of herself thereafter, and totally unable to understand her own evil[Pg 312] impulse. As she lay swinging in the hammock, she remembered this and many other things connected with that abhorred period of compulsory civilization and of success. The hot, close, dead, sweet smell of the petunias, wilting in the August sun, and the surface-baked earth came up to her. It made her vaguely heartsick and depressed. The mood was unusual with her. She wished intensely that her husband would come back.

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ONE:

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"Yes," said Felipa.Noting its white boundary lights, its red warnings, its windsock to give him the direction of the air currents, he circled the field several times, to be sure he would not foul any other ship, and to see if any signal would be sent him.
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