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Updated: May 9, 2025
Hippocrates of Chios reduced the problem of duplicating the cube to that of finding two mean proportionals in continued proportion between two straight lines, that is, he showed that, if the latter problem could be solved, the former was thereby solved also; and it is probable that there were still earlier cases in the Pythagorean geometry. Next there is the method of mathematical analysis.
Did that represent, as between them, anything particular, and should she have to count with them as duplicating, as intensifying by a mutual intelligence, the relation into which she was sinking?
Then his captor did that which proved beyond doubt to Bradley that he was in the hands of human beings who had devised an almost perfect scheme of duplicating, mechanically, the wings of a bird the thing spoke to its companion and in a language that Bradley partially understood, since he recognized words that he had learned from the savage races of Caspak.
This, of course, involved tremendous expenses in rebuilding every line and duplicating every wire. The more conservative hesitated, but Carty forged ahead. In 1880 he was engaged in operating a new line out of Boston. He was convinced that the double-wire system alone could be successful, and he arranged to operate a line on this plan.
Thereafter additional railroad construction will be almost exclusively a matter of branch extensions and connections, or of duplicating tracks already in existence; and when such a situation is reached, the gross traffic will be just as much divided among the coöperative companies as if it were distributed among different lines by a central management.
If he be rich and ravenous, however, there is nothing for it but duplicating the most virulent form of book-mania.
A wooden limb was carved, and the workman showed such accuracy in duplicating the stone leg that the Knight was adorned with a pair of garters for many years until Lord Saye and Sele, Canon Residentiary, presented the Cathedral with a new alabaster leg, and the wooden one was banished to a shelf in the library. Photochrom Co., Ld., Photo.
But Pan-at-lee! it is she I seek first even before a chieftainship." "We three, then, shall travel together," said Tarzan. "And fight together," added Ta-den; "the three as one," and as he spoke he drew his knife and held it above his head. "The three as one," repeated Om-at, drawing his weapon and duplicating Ta-den's act. "It is spoken!" "The three as one!" cried Tarzan of the Apes.
"Very well," said Mortlake, inwardly relieved, as he didn't much fancy duplicating Roy's feat, "we'll head straight on for the shore." "If you please." But what was the Golden Butterfly doing? As the steamer raced onward, that aerial wonder had swung in a spiral, and was now seemingly hovering about, awaiting the arrival of the Silver Cobweb.
The kilt-tunics of coarse material, duplicating samples brought from the past, were harsh to the skin and poorly fitting. But the workmanship of their link-and-plate bronze belts, the sleek bow guards strapped to their wrists, and the bows themselves approached fine art.
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