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Updated: June 27, 2025
The vibration rates per second of the vibrating bodies, strings, steel rods, etc., which produce those musical tones which are consonant, are in definite and small mathematical ratios to each other. Thus the rates of C-C' are as 1:2; of C-G, C-E, as 2:3, 4:5. In general, the simpler the fraction, the greater the consonance.
Donna Beatrice, as they call her daughter, is a very pretty girl, aged nineteen or nearly, of greyhound build, so to say, by turns amazingly active and astonishingly indolent, capricious and decided in her caprices while they last, passionately fond of dancing, much inclined to amuse herself in her own way when her mother is not looking, and possessing a keen sense of prime and ultimate social ratios.
Only the girl with a keen sense of taste can properly judge results and devise successful combinations. Only a business woman can buy to advantage and compute ratios of expense and return. This combination, of course, is not to be found every day. Salesmanship.
Whilst the transformability of Heat, Light, Sound, and other physical phenomena in definite numerical ratios has led to their being all regarded as actual manifestations of transmutations proceeding in one real thing, occasionally there is a seeming break in the catena; no phenomenon can be detected into which the heat or light or other immediately preceding manifestation has been transformed; but, later on, the co-relative reappears, and by an argument as strong as that which asserts the continuous identity of an intelligence before, during, and after a temporary suspension of consciousness, the student of Physics maintains the continued existence in posse, if not in esse, of the Energy which by appropriate action he can again reveal in an active or kinetic manifestation.
Buckalew gave statistical details, showing the various ratios of representation in the Senate, as possessed respectively by the East, West and South.
Heavily irrigated and fertilized so as to produce bulk yield instead of nutrition, they'll produce two or three times the tonnage, but at 8 percent protein instead of 11 percent. Not only does the protein content drop just as much as yield is boosted, the amino acid ratios change markedly, the content of scarce nutritional minerals drops massively, and the caloric content increases.
Although good coal may yield 14,000 units by its combustion, only about 11,000 of these reach the boiler; so that the ratio of the useful heat is 11/19. The thermal efficiency of the best non-condensing engine to that of the gas-engine is in the ratio 4/22. Multiplying together these two ratios, we get
You look like you just lost your best friend." "Not yet, but it won't be long now," commented Tom, a trace of bitterness creeping into his voice. "Astro's taking his power-deck manual. What he knows about those compression ratios just isn't known. But he just can't get it on paper." "Don't sell your unit-mate short," said Dixon, sensing something beneath Tom's comment.
Its natural history, with due details of all manner of poppies, their indigenous habitats, botanical characters, ratios of increase, and the like; its human history, discovery as a drug; how, when, where, and by whom cultivated; dissertations as to the possibility of Chaldean, Pharaonic, Grecian, or Roman opium eating, with most erudite extracts out of all sorts of scribes, from Sanchoniathon down to Juvenal, on these topics; its medicinal uses, properties, accidents, and abuses; as to whether it might not be used homoeopathically or in infinitesimal doses, to infuse a love of the pleasures of imagination into clodpoles, lawyers' clerks, and country cousins; its intellectual possibilities of usefulness, stimulating the brain; its moral ditto, allaying irritability; together with a dreadful detail of its evils in excess, idiotizing, immoralizing, ruining soul and body.
Having taken out the stresses in several forms of bowstring girders, differing from each other in the proportion of depth to span, the number of bays in the girder, and the amounts and ratios of the live and dead loads, similar results were invariably found, and a consideration of the various sets of calculations resulted in the following empirical rule for the stresses in the diagonals: "The horizontal component of the greatest stress in any diagonal, which will be both compressive and tensile, and is the same for every diagonal brace in the girder, is equal to the amount of the live load per bay multiplied by the span of the girder, and divided by sixteen times the depth of girder at center."
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