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Updated: June 5, 2025
When the circle was completed, Kemp adjusted his torch again and the flame lengthened. He moved inside the circle and cut at an angle toward the perimeter. His control was quick and certain. In a moment he stood aside and Koa lifted out a perfect ring of thorium. It varied from a knife edge on the inner side to 18 inches thick on the outer edge.
They reached camp at 9.30 in safety, and not without honour. As the Buffs reached the camp the rain which had hitherto held off came down. It poured. The darkness was intense. The camp became a sea of mud. In expectation that the enemy would attack it, General Jeffreys had signalled in an order to reduce the perimeter. The camp was therefore closed up to half its original size.
When the circle was completed, Kemp adjusted his torch again, and the flame lengthened. He moved inside the circle and cut at an angle toward the perimeter. His control was quick and certain. In a moment he stood aside, and Koa lifted out a perfect ring of thorium. It varied from a knife edge on the inner side to eighteen inches on the outer side.
Ranks of cargo-lighters that had plied to and from other ships or orbit. And, all around the cliff-walled perimeter, air-locked doors to caverns and tunnels. A great many men, with a great deal of equipment, had been working here in the estimated five or six years since Andray Dunnan or somebody had constructed this base. Andray Dunnan. They found his badge, the crescent, blue on black, on things.
Archimedes, in fact, was the first to know the approximate relation of circumference to diameter; from it he deduced the perimeter and surface of the circle, as well as the surface and volume of the sphere. He showed that the surface and volume of the last- named equal two-thirds of the surface and volume of the circumscribing cylinder.
Returning to his command-post at the telecast station, the terrain-board showed that the perimeter of defense had been pushed out in a bulge at the north-west corner; the TV-screen pictured a crude breastwork of petrified tree-trunks, sandbags, mining machinery, packing-cases and odds-and-ends, upon which Wallingsby's native laborers were working under guard while a skirmish-line of Kragans had been thrown out another four or five hundred yards and were exchanging potshots with Skilkans on the gullied hillside.
And from the comparison of the best estimates of the base side with the best estimates of the height, it seems very likely indeed that the intention of the builders was to make the height bear to the perimeter of the base the same ratio which the radius of a circle bears to the circumference.
Westward of it the steep banks of the river afford a covered way of access to the thickly clustered huts lying within the perimeter of the defence, which Eloff saw might be turned if he got a footing among them.
For a long moment he was sure that he was not yet awake. And then, as his dazed mind supplied names for what he saw, he knew that Rip had failed. Far from being in the center or at least well within the perimeter of the dread Big Burn they must have landed in some civic park or national forest.
Under the general principle that the local slope of a river is the result and measure of the resistance of its bed, it is evident that a narrow and deep stream should have less slope, because it has less frictional surface in proportion to capacity; i.e., less perimeter in proportion to area of cross section.
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