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THREE:A gravity wheel must have a diameter equal to the fall of water, or, to use the technical name, the height of the head. The speed at the periphery of the wheel cannot well exceed sixteen feet per second without losing a part of the effect by the wheel anticipating or overrunning the water. This, from the large diameter of the wheels, produces a very slow axial speed, and a train of multiplying gearing becomes necessary in order to reach the speed required in most operations where power is applied. This train of gearing, besides being liable to wear [38]and accident, and costing usually a large amount as an investment, consumes a considerable part of the power by frictional resistance, especially when such gearing consists of tooth wheels. Gravity wheels, from their large size and their necessarily exposed situation, are subject to be frozen up in cold climates; and as the parts are liable to be first wet and then dry, or warm and cold by exposure to the air and the water alternately, the tendency to corrosion if constructed of iron, or to decay if of wood, is much greater than in submerged wheels. Gravity wheels, to realise the highest measure of effect from the water, require a diameter so great that they must drag in the water at the bottom or delivering side, and are for this reason especially affected by back-water, to which all wheels are more or less liable from the reflux of tides or by freshets. These disadvantages are among the most notable pertaining to gravity wheels, and have, with other reasons��such as the inconvenience of construction, greater cost, and so on��driven such wheels out of use by the force of circumstances, rather than by actual tests or theoretical deductions.The position assigned to women by Plato may perhaps have seemed to his contemporaries the most paradoxical of all his projects, and it has been observed that here he is in advance even of our own age. But a true conclusion may be deduced from false premises; and Plato��s conclusion is not even identical with that reached on other grounds by the modern advocates of women��s rights, or rather of their equitable claims. The author of the Republic detested democracy; and the enfranchisement of women is now demanded as a part of257 the general democratic programme. It is an axiom, at least with liberals, that no class will have its interests properly attended to which is left without a voice in the election of parliamentary representatives; and the interests of the sexes are not more obviously identical than those of producers and consumers, or of capitalists and labourers. Another democratic principle is that individuals are, as a rule, the best judges of what occupation they are fit for; and as a consequence of this it is further demanded that women should be admitted to every employment on equal terms with men; leaving competition to decide in each instance whether they are suited for it or not. Their continued exclusion from the military profession would be an exception more apparent than real; because, like the majority of the male sex, they are physically disqualified for it. Now, the profession of arms is the very one for which Plato proposes to destine the daughters of his aristocratic caste, without the least intention of consulting their wishes on the subject. He is perfectly aware that his own principle of differentiation will be quoted against him, but he turns the difficulty in a very dexterous manner. He contends that the difference of the sexes, so far as strength and intelligence are concerned, is one not of kind but of degree; for women are not distinguished from men by the possession of any special aptitude, none of them being able to do anything that some men cannot do better. Granting the truth of this rather unflattering assumption, the inference drawn from it will still remain economically unsound. The division of labour requires that each task should be performed, not by those who are absolutely, but by those who are relatively, best fitted for it. In many cases we must be content with work falling short of the highest attainable standard, that the time and abilities of the best workmen may be exclusively devoted to functions for which they alone are competent. Even if women could be trained to fight, it does not follow that their energies might not be more advantageously258 expended in another direction. Here, again, Plato improperly reasons from low to high forms of association. He appeals to the doubtful example of nomadic tribes, whose women took part in the defence of the camps, and to the fighting power possessed by the females of predatory animals. In truth, the elimination of home life left his women without any employment peculiar to themselves; and so, not to leave them completely idle, they were drafted into the army, more with the hope of imposing on the enemy by an increase of its apparent strength than for the sake of any real service which they were expected to perform.151 When Plato proposes that women of proved ability should be admitted to the highest political offices, he is far more in sympathy with modern reformers; and his freedom from prejudice is all the more remarkable when we consider that no Greek lady (except, perhaps, Artemisia) is known to have ever displayed a talent for government, although feminine interference in politics was common enough at Sparta; and that personally his feeling towards women was unsympathetic if not contemptuous.152 Still we must not exaggerate the importance of his concession. The Platonic polity was, after all, a family rather than a true State; and that women should be allowed a share in the regulation of marriage and in the nurture of children, was only giving them back with one hand what had been taken away with the other. Already, among ourselves, women have a voice in educational matters; and were marriage brought under State control, few would doubt the propriety of making them eligible to the new Boards which would be charged with its supervision.