Transactions of the Cambridge Philosophical Society, Volumes 1-12

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University Press, 1879
 

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Página 528 - ... and also because he who has received this true education of the inner being will most shrewdly perceive omissions or faults in art and nature, and with a true taste, while he praises and rejoices over and receives into his soul the good, and becomes noble and good, he will justly blame and hate the bad, now in the days of his youth, even before he is able to know the reason why ; and when reason comes he will recognize and salute the friend with whom his education has made him long familiar.
Página 433 - In fact the density of the crust beneath the mountains must be less than that below the plains, and still less than that below the ocean-bed.
Página 546 - The only assumption which is necessary for the direct proof is that the system, if left to itself in its actual state of motion, will, sooner or later, pass through every phase which is consistent with the equation of energy.
Página 432 - There must, therefore, be some excess of matter in the solid parts of the earth between the Pacific Ocean and the earth's centre which retains the water in its place. This effect may be produced in an infinite variety of ways ; and therefore, without data, it is useless to speculate regarding the arrangement of matter which actually exists in the solid parts below.
Página 28 - Arc du Méridien de 25° 20' entre le Danube et la Mer Glaciale, Mesuré depuis 1816 jusqu'en 1855 sous la Direction de C.
Página 439 - ... the Palaeozoic age. By far the larger portion of the residue must have occurred before the beginning of the Tertiary, and yet the whole of this contraction would not be sufficient to account for the disturbances which have occurred since the close of the Cretaceous.
Página 525 - Aristotle, that tragedy purges the passions would perhaps only amount to this — that the habitual .exercise of the passions by works of imagination in general, of the serious and pathetic kind (such as Tragedies, Novels, &c.) has a tendency to soften and refine those passions when excited by real objects in common life.
Página 430 - If such was the condition of the interior in the early stages of the cosmogony, a large portion of the oceans now above the crust may once have been beneath it, and thus we gain a novel conception of a sense in which the fountains of the abyss may once have been broken up*.
Página 528 - Glaucon, why musical training is so powerful, because rhythm and harmony find their way into the secret places of the soul, on which they mightily fasten, bearing grace in their movements, and making the soul graceful...
Página 546 - ... forms of the surface of this obstacle, each encounter will introduce a disturbance into the motion of the system, so that it will pass from one undisturbed path into another. The two paths must both satisfy the equation of energy, and they must intersect each other in the phase for which the conditions of encounter with the fixed obstacle are satisfied, but they are not subject to the equations of momentum. It is difficult in a case of such extreme complexity to arrive at a thoroughly satisfactory...

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