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Updated: May 4, 2025
Theory would require that the notes of different octaves should be multiples of each other and that the tension should be the same for each string. The lowest bass strings, which at that time were the note F, would thus require a vibrating length of about twelve feet.
Even if the theory of atoms were abandoned, the generalisation would remain, as an accurate and exact statement of facts which hold good in every chemical change, that a number can be attached to each element, and the weights of the elements which combine are in the ratios of these numbers, or whole multiples of these numbers.
"Thirty thousand". The M.H.G. epics are fond of round numbers and especially of thirty and its multiples. They will be found to occur very frequently in our poem. See Lachmann, "Anmerkungen zu den Nibelungen", 474 1. ADVENTURE V. How Siegfried First Saw Kriemhild. One saw daily riding to the Rhine those who would fain be at the feasting.
"Siz" may be substituted for six and its multiples, and "Fiz" for five, just for variety. Divide the company into two sides. One division sits around the table on one side, the other on the opposite side. The members of division "A" put their hands under the table and a small coin, dime or quarter, is passed from one to the other.
One such must be in bloom at this very writing, in the garden of a house which this very writer marked for his own on his first drive ashore from the steamer to the hotel, when he bestowed in its dim, unknown interior one of the many multiples of himself which are now pretty well dispersed among the pleasant places of the earth.
So that the colors by reflection will be destroyed, and those by transmission rendered more vivid, when the double thickness or intervals of retardation are any multiples of the whole breadth of the undulations; and at intermediate thicknesses the effects will be reversed according to the Newtonian observation.
Hence, the quantities by weight of oxygen which combine with one and the same weight of nitrogen are such that two of these quantities are whole multiples of the third quantity.
When she came to fractions it was heartrending. Common multiples and least and greatest common divisors had such a way of getting mixed up in her brain, that he felt very sorry for her. She brought over Betty's book in which all her sums in the more difficult rules had been worked out and copied beautifully.
From his notes and equations Seaton calculated the weight of copper necessary to exert the explosive force of one pound of nitro-glycerin, and weighed out, on the most delicate assay-balance made, various fractions and multiples of this amount of the treated copper, while Crane fitted up the bullets of automatic-pistol cartridges to receive the charges and to explode them on impact.
And just as the production of commodities and their economy has a relative expression for the unknown quantities of labor existing in commodities, since it compares these commodities according to the relative amounts of labor which they contain, so chemistry makes a relative expression for the amounts of atomic weights unknown to it, since it compares the separate elements according to their atomic weights and expresses the weight of the one as multiples or factors of the other.
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