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Let us suppose the earth, of given weight, moving with given momentum in a given path, and under given conditions in every respect, to find itself at any one time conditioned in all these respects as it was conditioned at some past moment; then it must move exactly in the same path as the one it took when at the beginning of the cycle it has just completed, and must therefore in the course of time fulfil a second cycle, and therefore a third, and so on for ever and ever, with no more chance of escape than a circulating decimal has, if the circumstances have been reproduced with perfect accuracy.
"Oh-ho, so you are the chaps Mr. Herrick was telling me about have motorcycles and all that sort of rigging, eh? Say, boys, that's a great scheme. I saw the original motor cycle life guards work out in California last year, and they're great, too. Hope you have luck."
He flares up, and we see Valhalla on high in flames. So ends the Dusk of the Gods and the whole gigantic cycle. A noble race has come and gone, and the world is prepared to make a fresh start. I have discussed the music as we went along, and there is nothing more to add.
Even the engine of a motor cycle has three strokes of play for one of work. Our engines, too, must have a liberal supply of the right kind of fuel. But even with all those precautions, we have to confess that the muscular engines of the foot do sometimes break down, and the leverage of the foot becomes threatened.
Beyond them the eternal march of the stars proceeded in the majesty of space, with billions of years in which to fulfil the cosmic cycle of existence. In the night, far out to the northward, a storm descended like a cataclysm. Torrential rains were poured upon the hills from a cloudburst exceptionally savage. Only the scattered outposts, as it were, of the storm were blown as far as Goldite.
Without comparing the mean temperature of the whole year, but only the mean temperature of the season which embraces the corn cycle of vegetation, we find for three months of summer,* in the north of Europe, from 15 to 19 degrees; in Barbary and in Egypt, from 27 to 29 degrees; within the tropics, between fourteen and three hundred toises of height, from 14 to 25.5 degrees of the centigrade thermometer.
Starting with this idea, he endeavours to demonstrate, by associating two engines capable of working in a reversible cycle, that the principle is founded on the impossibility of perpetual motion.
The end of a cycle had come and the entire earth was to undergo a process of renovation. In a poem by Virgil, who was a Druid, the birth of a wonderful child is celebrated, and the prophecy of a heathen Sibyl is seen to be identical with that of Isaiah. "The last period sung by the Sibylline prophetess is now arrived; and the grand series of ages.
When reddest, it has been described as "scarlet," "crimson," and "blood-colored"; when palest, it is a deep orange-red. Its light variation has a period the precise length of which is not yet known. The cycle of change is included between the eighth and ninth magnitudes. While our three-inch telescope suffices to show R, it is better to use the five-inch, because of the faintness of the star.
But there is no parallel to the essential features of the Volsung cycle, and such likenesses between the two stories as are not accidental are due to the influence of the more favoured legend; this is especially true of the names.
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