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TWO:Slotting machines with vertical cutting movement differ from planing machines in several respects, to which attention may be directed. In slotting, the tools are in most cases held rigidly and do not swing from a pivot as in planing machines. The tools are held rigidly for two reasons; because the force of gravity cannot be employed to hold them in position at starting, and because the thrust or strain of cutting falls parallel, and not transverse to the tools as in planing. Another difference between slotting and planing is that the cutting movement is performed by the tools and not by movement of the material. The cutting strains are also different, falling at right angles to the face of the table, in the same direction as the force of gravity, and not parallel to the face of the table, as in planing and [135] shaping machines.The alliance between Neo-Pythagoreanism and Stoicism did not last long. Their fundamental principles were too radically opposed to admit of any reconciliation, except what could be effected by the absorption of both into a more comprehensive system. And Roman Stoicism, at least, was too practical, too scientific, too sane, to assimilate what must have seemed a curious amalgam of mathematical jugglery and dreamy asceticism; while the reputation of belonging to248 what passed for a secret society would be regarded with particular dread in the vicinity of the imperial court,��it was, in fact, for this particular reason that the elder Seneca persuaded his son to renounce the vegetarian diet which Sotion had induced him to adopt,��and the suspicious hostility of the public authorities may have had something to do with the speedy disappearance of Neo-Pythagoreanism from Rome.388 On the other hand, so coarsely materialistic and utilitarian a doctrine as that of the Porch, must have been equally repulsive to the spiritualism which, while it discerned a deep kinship permeating all forms of animal existence, saw in the outward conditions of that existence only the prison or the tomb where a heaven-born exile lay immured in expiation of the guilt that had driven him from his former and well-nigh forgotten abode. Hence, after Seneca, we find the two schools pursuing divergent directions, the naturalism of the one becoming more and more contrasted with the spiritualism of the other. It has been mentioned how emphatically Marcus Aurelius rejected the doctrine of a future life, which, perhaps, had been brought under his notice as a tenet of the Neo-Pythagoreans. The latter, on their side, abandoned the Stoic cosmology for the more congenial metaphysics of Plato, which they enriched with some elements from Aristotle��s system, but without in the least acknowledging their obligations to those two illustrious masters. On the contrary, they professed to derive their hidden wisdom from certain alleged writings of Pythagoras and his earlier disciples, which, with the disregard for veracity not uncommon among mystics, they did not scruple to forge wholesale. As a consequence of their unfortunate activity, literature was encumbered with a mass of worthless productions, of which many fragments still survive, mixed, perhaps, with some genuine relics of old Italiote speculation, the extrication of which is, however, a task of almost insuperable difficulty.