THREE:A carriage moving on angular ways always moves steadily and easily, without play in any direction until lifted from its bearing, which rarely happens, and its lifting is easily opposed by adjustable gibs. A carriage on a flat shear is apt to have play in a horizontal direction because of the freedom which must exist to secure easy movement. In the case of tracks, it may also be mentioned that the weight of a carriage acts as a constant force to hold it steady, while with a flat shear the weight of a carriage is in a sense opposed to the ways, and has no useful effect in steadying or guiding. The rigidity and steadiness of tool movement is notoriously in favour of triangular tracks, so much so that nearly all American machine tool-makers construct lathes in this manner, although it adds no inconsiderable cost in fitting."You are pleased to say so," Balmayne said smoothly.

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THREE:In the last chapter we considered the philosophy of Plato chiefly under its critical and negative aspects. We saw how it was exclusively from that side that he at first apprehended and enlarged the dialectic of Socrates, how deeply his scepticism was coloured by the religious reaction of the age, and how he attempted, out of his master��s mouth, to overturn the positive teaching of the master himself. We saw how, in the Protagoras, he sketched a theory of ethics, which was no sooner completed than it became the starting-point of a still more extended and arduous enquiry. We followed the widening horizon of his speculations until they embraced the whole contemporary life of Hellas, and involved it in a common condemnation as either hopelessly corrupt, or containing within itself the seeds of corruption. We then saw how, by a farther generalisation, he was led to look for the sources of error in the laws of man��s sensuous nature and of the phenomenal world with which it holds communion; how, moreover, under the guidance of suggestions coming both from within and from without, he reverted to the earlier schools of Greek thought, and brought their results into parallelism with the main lines of Socratic dialectic. And finally, we watched him planting a firm foothold on the basis of mathematical demonstration; seeking in the very constitution of the soul itself for a derivation of the truths which sensuous experience could not impart, and winning back from215 a more profoundly reasoned religion the hope, the self-confidence, the assurance of perfect knowledge, which had been formerly surrendered in deference to the demands of a merely external and traditional faith. That God alone is wise, and by consequence alone good, might still remain a fixed principle with Plato; but it ceased to operate as a restraint on human aspiration when he had come to recognise an essential unity among all forms of conscious life, which, though it might be clouded and forgotten, could never be entirely effaced. And when Plato tells us, at the close of his career, that God, far more than any individual man, is the measure of all things,133 who can doubt that he had already learned to identify the human and divine essences in the common notion of a universal soul?

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