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ONE:Lastly, proportions; having estimated the cutting force required at one ton, although less than the actual strain in a machine of this kind, we proceed upon this to fix proportions, [157] beginning with the tool shank, and following back through the adjusting saddle, the cutting bar, connections, crank pins, shafts, and gear wheels to the belt. Starting again at the tool, or point of cutting, following through the supports of the rack, the jaws that clamp it, the saddle for the graduating adjustment, the connections with the main frame, and so on to the crank-shaft bearing a second time, dimensions may be fixed for each piece to withstand the strains without deflection or danger of breaking. Such proportions cannot, I am aware, be brought within the rules of ordinary practice by relying upon calculation alone to fix them, and no such course is suggested; calculation may aid, but cannot determine proportions in such cases; besides, symmetry, which cannot be altogether disregarded, modifies the form and sometimes the dimensions of various parts.

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ONE:Without any wish to discourage the ambition of an apprentice to invent, which always inspires him to laudable exertion, it is nevertheless best to caution him against innovations. The estimate formed of our abilities is very apt to be inversely as our experience, and old engineers are not nearly so confident in their deductions and plans as beginners are.Into the thousands their altimeter swung its indicator.

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ONE:We have seen how the idea of Nature, first evolved by physical philosophy, was taken by some, at least, among the Sophists as a basis for their ethical teaching; then how an interpretation utterly opposed to theirs was put on it by practical men, and how this second interpretation was so generalised by the younger rhetoricians as to involve the denial of all morality whatever. Meanwhile, another equally important conception, destined to come into speedy and prolonged antagonism with the idea of Nature, and like it to exercise a powerful influence on ethical reflection, had almost contemporaneously been elaborated out of the materials which earlier speculation supplied. From Parmenides and Heracleitus down, every philosopher who had propounded a theory of the world, had also more or less peremptorily insisted on the fact that his theory differed widely from common belief. Those who held that change is86 impossible, and those who taught that everything is incessantly changing; those who asserted the indestructibility of matter, and those who denied its continuity; those who took away objective reality from every quality except extension and resistance, and those who affirmed that the smallest molecules partook more or less of every attribute that is revealed to sense��all these, however much they might disagree among themselves, agreed in declaring that the received opinions of mankind were an utter delusion. Thus, a sharp distinction came to be drawn between the misleading sense-impressions and the objective reality to which thought alone could penetrate. It was by combining these two elements, sensation and thought, that the idea of mind was originally constituted. And mind when so understood could not well be accounted for by any of the materialistic hypotheses at first proposed. The senses must differ profoundly from that of which they give such an unfaithful report; while reason, which Anaxagoras had so carefully differentiated from every other form of existence, carried back its distinction to the subjective sphere, and became clothed with a new spirituality when reintegrated in the consciousness of man.

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