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A. The atmospheric resistance, no doubt, increases as the square of the velocity, and the power, therefore, necessary to overcome it will increase as the cube of the velocity, since in doubling the speed four times, the power must be expended in overcoming the atmospheric resistance in half the time.
The chocolate rations consist of three cubes and can be eaten in the dry state; once, however, I came across a spare emergency tin, and found that with boiling water a single cube made enough liquid chocolate for ten men, a cup each. People make a great fuss in England if they don't get three or four meals a day, but a healthy man can easily fight with much less nourishment than this.
Each group will re-enter its particular aircar, retaining control of the cube in each case, of course, and will at once repair to his proper station. Telepathy is the mode of communication with the cubes, and you rule them by your will.
The disciples of Plato invented conic sections, and discovered the geometrical loci. They also attempted to resolve the problems of the trisection of an angle and the duplication of a cube. To Leon is ascribed that part of the solution of a problem, called its determination, which treats of the cases in which the problem is possible, and of those in which it cannot be resolved.
It will not be hard to draw a cube or an octahedron in this way; indeed, the first stereoscopic figures were pairs of outlines, right and left, of solid bodies, thus drawn. But the minute details of a portrait, a group, or a landscape, all so nearly alike to the two eyes, yet not identical in each picture of our natural double view, would defy any human skill to reproduce them exactly.
Within was a small cube of black crystal, through whose sides I saw, dimly, a rapidly revolving, glowing ball, not more than two inches in diameter. Beneath the cube was a curiously shaped, slender cylinder winding down into the lower body of the Nautilus whorl. "Watch!" said Rador. He motioned me into the vehicle and took a place beside me.
If the speed of the Fairy herself had to be increased to 22.29 knots, the power would have to be increased in the proportion of the cube of 13 to the cube of 22.49, or 5.2 times, which makes the power necessary to propel the Fairy at that speed equal to 624 nominal horses power. Q. Will you describe the configuration and mode of action of the paddle wheels in general use?
Mathematics is the only perfect science, inasmuch as it adds, subtracts, multiplies, and divides numbers, but not real and substantial things, inasmuch as it is the most formal of the sciences. Who can extract the cube root of an ash-tree?
Nevertheless, they were all driven, to the number of one hundred and forty-six persons of both sexes, into a place called the Black Hole Prison, a cube of about eighteen feet, walled up to the eastward and southward, the only quarters from which they could expect the least refreshing air, and open to the westward by two windows strongly barred with iron, through which there was no perceptible circulation.
Not less unfamiliar in their forms, but far more interesting, are the monuments of stone. One shape I know represents five of the Buddhist elements: a cube supporting a sphere which upholds a pyramid on which rests a shallow square cup with four crescent edges and tilted corners, and in the cup a pyriform body poised with the point upwards.
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