Such duplication of railways involves a waste of capital.
In both these rites we seem to have a duplication of ritual, and the parallelism of sacrifice and liberation is clear.
The change is marked in the rituals by the duplication of the liturgical forms. The prayers of intercession and oblation, which in earlier times are found only in connexion with the former offering, are repeated in the course of the same service in connexion with the latter.
He evolved an ingenious solution of the duplication of the cube, which shows considerable knowledge of the generation of cylinders and cones.
Appointed minister of the treasury in the first Di Rudini cabinet of 1891, he imprudently abolished the system of frequent clearings of bank-notes between the state banks, a measure which facilitated the duplication of part of the paper currency and hastened the bank crisis of 1893.
Helmholtz, of the efflux of a jet between two edges A and A 1 in an infinite wall, is obtained by the symmetrical duplication of the above, with n = 1, b = o, a' = - oo, as in fig.
Two corners B 1 and in the wall xA, with a' = -00, and n =I, will give the solution, by duplication, of a jet issuing by a reentrant mouthpiece placed symmetrically in the end wall of the channel; or else of the channel blocked partially by a diaphragm across the middle, with edges turned back symmetrically, problems discussed by J.
It became known as the "Delian problem" or the "problem of the duplication of the cube," and ranks in historical importance with the problems of "trisecting an angle" and "squaring the circle."
The motive of some of the substitutions was to avoid the confusion which must have ensued from the duplication of previously existing native asterisms; thus, the Egyptian and Greek Lions were composed of totally different stars.: Abstractions in other cases replaced concrete objects, with the general result of effacing the distinctive character of the Greek zodiac as a " circle of living things."
The duplication of the flagellum begins at its proximal end, that which is in relation with the kinetonucleus.
In addition to this there is also a second system, with open courts, hall and chambers; this has been generally supposed to be the women's quarters, but there is no authority for such duplication, and it is possible that it should rather be explained as another house.
The case is somewhat altered by the discovery of several other early houses, of similar character, but not identical in plan; at Mycenae and elsewhere in Greece; these do not, for example, show the duplication of the essential parts of the house found at Tiryns.
Next year, having solved, as he thought, another ancient crux, the duplication of the cube, he had his solution brought out anonymously at Paris in French, so as to put Wallis and other critics off the scent and extort a judgment that might be withheld from a work of his.
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It seems almost as though this branch had reached its limit, and as though any further developments can only be a question of duplication of the existing facilities so as to print from a greater number of cylinders than, say, an octuple machine.
The question of cost is purely a commercial one, but the cost of the raw material will practically never determine the relative cost between various forms, as the expense of manufacture and the detail and duplication of members will all influence the ultimate cost to a much greater extent than the simple cost of the plain materials.