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FORE:She flashed along the hall. Directly she was gone Lawrence signalled to Maitrank, who stood in the background. The latter produced a letter which he handed to the foremost of the two intruders.Prout came up smiling in the course of the next afternoon. He was disposed to chaff his prisoner in a mild kind of way.
FORE:The adaptation, endurance, and cost of machines in designing become resolved into problems of movements, the arrangement of parts, and proportions.As soon as they had got all the information they required, the commanding officer ordered a patrol of cyclists of six men to leave their kit and rifles behind, but to take a Browning, and deliver a rapidly written letter at Lige.
FORE:The first principle to be pointed out in regard to belts, to distinguish them from shafts as a means of transmitting power, is that power is communicated by means of tensile instead of torsional strain, the power during transmission being represented in the difference of tension between the driving and the slack side of belts. In the case of shafts, their length, or the distance to which they may be extended in transmitting power, is limited by torsional resistance; and as belts are not liable to this condition, we may conclude that unless there are other difficulties to be contended with, belts are more suitable than shafts for transmitting power throughout long distances. Belts suffer resistance from the air and from friction in the bearings of supporting pulleys, which are necessary in long horizontal belts; with these exceptions they are capable of moving at a very high rate of speed, and transmitting power without appreciable loss.X.
FORE:But the yachts boat, with its motor hastily started, and coldlost way as the engine sputtered and died!Gaining in a very flat descent, calculated, as Sandy could see, to bring them either alongside orif fortune favored themonto the tail of the other craft, Jeff drew closer.
FORE:Such a view was essentially unfavourable to the progress of science, assigning, as it did, a higher dignity to meagre and very questionable abstractions than to the far-reaching combinations by which alone we are enabled to unravel the inmost texture of visible phenomena. Instead of using reason to supplement sense, Aristotle turned it into a more subtle and universal kind of sense; and if this disastrous assimilation was to a certain extent imposed upon him by the traditions of Athenian thought, it harmonised admirably with the descriptive and superficial character of his own intelligence. Much was also due to the method of geometry, which in his time had already assumed the form made familiar to us by Euclids Elements. The employment of axioms side by side with definitions, might, indeed, have drawn his attention to the existence and importance of judgments which, in Kantian terminology, are not analytic but syntheticthat is, which add to the content of a notion instead of simply analysing it. But although he mentions axioms, and states that mathematical theorems are deduced from them, no suspicion of their essential difference from definitions, or of the typical significance which they were destined to assume in the theory of reasoning, seems ever to have crossed his mind; otherwise he could hardly have failed to ask how we come by our knowledge of them, and to what they correspond in Nature. On the whole,385 it seems likely that he looked on them as an analysis of our ideas, differing only from definition proper by the generality of its application; for he names the law of contradiction as the most important of all axioms, and that from which the others proceed;277 next to it he places the law of excluded middle, which is also analytical; and his only other example is, that if equals be taken from equals the remainders are equal, a judgment the synthetic character of which is by no means clear, and has occasionally been disputed.278
FORE:CHAPTER VI
FORE:"It is nothing, darling," she said as she kissed the white lips. "Mother has been masquerading, it is a part of her dress. You must come to bed with me at once; there is a terrible draught here. Come along."The method by which Plato eventually found his way out of the sceptical difficulty, was to transform it from a subjective law of thought into an objective law of things. Adopting the Heracleitean physics as a sufficient explanation of the material world, he conceived, at a comparatively early period of his mental evolution, that the fallaciousness of sense-impressions is due, not to the senses themselves, but to the instability of the phenomena with which they deal; and afterwards, on discovering that the interpretation of ideal relations was subject to similar perplexities, he assumed that, in their case also, the contradiction arises from a combination of Being with not-Being determining whatever differences prevail among the ultimate elements of things. And, finally, like Empedocles, he solved the problem of cognition by establishing a parallel between the human soul and the universe as a whole; the circles of the Same and the Other135 being united in the celestial orbits and also in the mechanism of the brain.223
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