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TWO:In the manufacture of machines, there are usually so many sizes and modifications, that drawings should assist and determine in a large degree the completeness of classification and record. Taking the manufacture of machine tools, for example: we cannot well say, each time they are to be spoken of, a thirty-six inch lathe without screw and gearing, a thirty-two inch lathe with screw and gearing, a forty-inch lathe triple geared or double geared, with a twenty or thirty foot frame, and so on. To avoid this it is necessary to assume symbols for machines of different classes, consisting generally of the letters of the alphabet, qualified by a single number as an exponent to designate capacity or different modifications. Assuming, in the case of engine lathes, A to be the symbol for lathes of all sizes, then those of different capacity and modification can be represented in the drawings and records as A1, A2, A3, A4, and so on, requiring but two characters to indicate a lathe of any kind. These symbols should be marked in large plain letters on the left-hand lower corner of sheets, so that the manager, workman, or any one else, can see at a glance what the [86] drawings relate to. This symbol should run through the time-book, cost account, sales record, and be the technical name for machines to which it applies; in this way machines will always be spoken of in the works by the name of their symbol.
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TWO:If, in the philosophy of Epicttus, physics and morality become entirely identified with religion, religion, on the other hand, remains entirely natural and moral. It is an offering245 not of prayer but of praise, a service less of ceremonies and sacrifices than of virtuous deeds, a study of conscience rather than of prophecy, a faith not so much in supernatural portents as in providential law.380 But in arriving at Marcus Aurelius, we have overstepped the line which divides rational religion from superstition. Instances of the good emperors astonishing credulity have already been given and need not be repeated. They are enough to show that his lavish expenditure on public worship was dictated by something more than a regard for established customs. We know, indeed, that the hecatombs with which his victories were celebrated gave occasion to profane merriment even in the society of that period. On one occasion, a petition was passed from hand to hand, purporting to be addressed to the emperor by the white oxen, and deprecating his success on the ground that if he won they were lost.381 Yet the same Marcus Aurelius, in speaking of his predecessor Antoninus, expressly specifies piety without superstition as one of the traits in his character which were most deserving of imitation.382 And, undoubtedly, the mental condition of those who were continually in an agony of fear lest they should incur the divine displeasure by some purely arbitrary act or omission, or who supposed that the gods might be bribed into furthering their iniquitous enterprises, was beyond all comparison further removed from true wisdom than the condition of those who believed themselves to be favoured by particular manifestations of the divine beneficence, perhaps as a recompense for their earnest attempts to lead a just and holy life. We may conclude, then, that philosophy, while injuriously affected by the supernaturalist movement, still protected its disciples against the more virulent forms of superstition, and by entering into combination with the popular belief, raised it to a higher level of feeling and of thought. It was not, however, by Stoicism that the final reconciliation of ancient religion with philosophy could be246 accomplished, but by certain older forms of speculation which we now proceed to study.The Platonic influence told even more efficaciously on Galileos still greater contemporary, Kepler. With him as with the author of the Republic, mysticism took the direction of seeking everywhere for evidence of mathematical proportions. With what brilliant success the search was attended, it is needless to relate. What interests us here is the fact, vouched for by Arago, that the German astronomer was guided by an idea of Platos, that the world must have been created on geometrical principles.552 Had Bacon known anything about the work on which his adventurous contemporary was engaged, we may be sure that it would have afforded him another illustration for his Id?la, the only difficulty being whether it should be referred to the illusions of the Tribe, the Den, or the Theatre.
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