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THREE:Machines and tools operating by percussive action, although they comprise a numerous class, and are applied in nearly all mechanical operations, have never received that amount of attention in text-books which the importance of the machines and their extensive use calls for. Such machines have not even been set off as a class and treated of separately, although the distinction is quite clear between machines with percussive action, and those with what may be termed direct action, both in the manner of operating and in the general plans of construction. There is, of course, no lack of formul? for determining the measure of force, and computing the dynamic effect of percussive machines acting against a measured or assumed resistance, and so on; but this is not what is meant. There are certain conditions in the operation of machines, such as the strains which fall upon supporting frames, the effect produced upon malleable material when struck or pressed, and more especially of conditions which may render percussive or positive acting machines applicable to certain purposes; but little explanation has been given which is of value to practical men.We trust that the steps of a difficult argument have been made clear by the foregoing analysis; and that the whole process has been shown to hinge on the ambiguous use of such notions as the individual and the community, of which the one is paradoxically construed as a plurality and the other as a unity; justice, which is alternately taken in the sense of control exercised by the worthiest, control of passion in the general interest, control of our passions in the interest of others, and control of the same passions in our own interest; and wisdom or reason, which sometimes means any kind of excellence, sometimes the excellence of a harmonious society, and sometimes the excellence of a well-balanced mind. Thus, out of self-regarding virtue social virtue is elicited, the whole process being ultimately conditioned by that identifying power which was at once the strength and the weakness of Plato��s genius.