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TWO:Isometrical perspective is often useful in drawing, especially in wood structures, when the material is of rectangular section, and disposed at right angles, as in machine frames. One isometrical view, which can be made nearly as quickly as a true elevation, will show all the parts, and may be figured for dimensions the same as plane views. True perspective, although rarely necessary in mechanical drawing, may be studied with advantage in connection with geometry; it will often lead to the explanation of problems in isometric drawing, and will also assist in free-hand lines that have sometimes to be made to show parts of machinery oblique to the regular planes. Thus far the remarks on draughting have been confined to manipulation mainly. As a branch of engineering work, draughting must depend mainly on special knowledge, and is not capable of being learned or practised upon general principles or rules. It is therefore impossible to give a learner much aid by searching after principles to guide him; the few propositions that follow comprehend nearly all that may be explained in words.After Apuleius, Platonism, outside the lecture rooms of Athens, becomes identified with Pythagoreanism, and both with dogmatic theology. In this direction, philosophy was feeling its way towards a reconciliation with two great Oriental religions, Hebrew monotheism and Medo-Persian dualism. The first advances had come from religion. Aristobulus, an Alexandrian Jew (B.C. 160), was apparently the first to detect an analogy between the later speculations of Plato and his own hereditary faith. Both taught that the world had been created by a single supreme God. Both were penetrated with the purest ethical ideas. Both associated sensuality and idolatry in the same vehement denunciations. The conclusion was obvious. What had been supernaturally revealed to the chosen people could not have been discovered elsewhere by a simple exercise of human reason. Plato must have borrowed his wisdom from Moses.398 At a later period, the celebrated Philo, following up the clue thus furnished, proceeded to evolve the whole of Greek philosophy from the Pentateuch. An elaborate system of allegorical interpretation, borrowed from the Stoics, was the instrument with which he effected his enterprise. The result was what might have been foreseen��a complete Hellenisation of Hebrew religion.257 Circumscription, antithesis, and mediation were, as we know, the chief moments of Greek thought. Philo rearranged his monotheistic system according to the scheme which they supplied. He first determined the divine unity with such logical precision as to place God out of relation to the world. Then, in the true Greek spirit, he placed at the other end of his metaphysical scale matter��the shifting, formless, shadowy residuum left behind when every ideal element has been thought away from the world. So conceived, matter became, what it had been to Plato, the principle of all evil, and therefore something with which God could not possibly be brought into contact. Accordingly, the process of creation is made intelligible by the interposition of a connecting link in the shape of certain hypostasised divine attributes or forces, represented as at the same time belonging to and distinct from the divine personality. Of these the most important are the goodness to which the world owes its origin, and the power by which it is governed. Both are united in the Logos or Word. This last idea��which, by the way, was derived not from Plato but from the Stoics��sums up in itself the totality of mediatorial functions by which God and the world are put into communication with one another. In like manner, Plato had interposed a universal soul between his Ideas and the world of sensible appearances, and had pointed to an arrangement of the Ideas themselves by which we could ascend in thought to a contemplation of the absolute good. There seems, however, to be a difference between the original Hellenic conception and the same conception as adapted to Oriental ways of thinking. With Plato, as with every other Greek philosopher, a mediator is introduced not for the purpose of representing the supreme ideal to us nor of transmitting our aspirations to it, but of guiding and facilitating our approach to it, of helping us to a perfect apprehension and realisation of its meaning. With Philo, on the contrary, the relation of the Logos to God is much the same as that of258 a Grand Vizier to an Oriental Sultan. And, from this point of view, it is very significant that he should compare it to the high-priest who lays the prayers of the people before the eternal throne, especially when we couple this with his declaration that the Logos is the God of us imperfect beings, the first God being reserved for the contemplation of those who are wise and perfect.399

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TWO:All existence, according to Plotinus, proceeds from the One, which he also calls God. But God does not create the world by a conscious exercise of power; for, as we have seen, every form of consciousness is excluded from his definition.319 Neither does it proceed from him by emanation, for this would imply a diminution of his substance.469 It is produced by an overflow of his infinite power.470 Our philosopher tries to explain and defend this rather unintelligible mode of derivation by the analogy of physical substances and their actions. Light is constantly coming from the sun without any loss to the luminary itself.471 And all things are, in like manner, constantly communicating their proper virtue to others while remaining unaltered themselves. Here we have a good example of the close connexion between science and abstract speculation. People often talk as if metaphysics was something beyond the reach of verification. But some metaphysical theories admit, at any rate, of disproof, in so far as they are founded on false physical theories. Had Plotinus known that neither the sun nor anything else in Nature can produce force out of nothing, he would, very probably, have hesitated to credit the One with such a power.

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THREE:He was back in The Netherlands before me.

THREE:The truth is that no man who philosophised at all was ever more free from tormenting doubts and self-questionings; no man was ever more thoroughly satisfied with himself than Socrates. Let us add that, from a Hellenic point of view, no man had ever more reason for self-satisfaction. None, he observed in his last days, had ever lived a better or a happier life. Naturally possessed of a powerful constitution, he had so strengthened it by habitual moderation and constant training that up to the hour of his death, at the age of seventy, he enjoyed perfect bodily and mental health. Neither hardship nor exposure, neither abstinence nor indulgence in what to other men would have been excess, could make any impression on that adamantine frame. We know not how much truth there may be in the story that, at one time, he was remarkable for the violence of his passions; at any rate, when our principal informants knew him he was conspicuous for the ease with which he resisted temptation, and for the imperturbable sweetness of his temper. His wants, being systematically reduced to a minimum, were easily satisfied, and his cheerfulness never failed. He enjoyed Athenian society so much that nothing but military duty could draw him away from it. For Socrates was a veteran who had served through three arduous campaigns, and could give lectures on the duties of a general, which so high an authority as Xenophon thought worth reporting. He seems to have been on excellent terms with his fellow-citizens, never having been engaged in a lawsuit, either as plaintiff or defendant, until the fatal prosecution which brought his career to a close. He could, on that occasion, refuse to prepare a defence, proudly observing that his whole123 life had been a preparation, that no man had ever seen him commit an unjust or impious deed. The anguished cries of doubt uttered by Italian and Sicilian thinkers could have no meaning for one who, on principle, abstained from ontological speculations; the uncertainty of human destiny which hung like a thunder-cloud over Pindar and the tragic poets had melted away under the sunshine of arguments, demonstrating, to his satisfaction, the reality and beneficence of a supernatural Providence. For he believed that the gods would afford guidance in doubtful conjunctures to all who approached their oracles in a reverent spirit; while, over and above the Divine counsels accessible to all men, he was personally attended by an oracular voice, a mysterious monitor, which told him what to avoid, though not what to do, a circumstance well worthy of note, for it shows that he did not, like Plato, attribute every kind of right action to divine inspiration.

THREE:

THREE:There seems, then, good reason for believing that the law of duty, after being divorced from mythology, and seriously compromised by its association, even among the Stoics themselves, with our egoistic instincts, gained an entirely new authority when placed, at least in appearance, under the sanction of a power whose commands did not even admit of being disobeyed. And the question spontaneously presents itself whether we, after getting rid of the old errors and confusions, may profitably employ the same method in defence of the same convictions, whether the ancient alliance between fact and right can be reorganised on a basis of scientific proof.