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Updated: June 27, 2025
Variety in matter is simply a question of varying degrees of electronic activity, depending upon a number of ratios. Life itself, as well as materiality and force, comes out of the all-pervading ether. "This object here," touching the crystal, "is merely a conductor. It picks up the ether and sends it through a set degree of vibrational activity. Result? It makes iron!
He was sorry for all the little differences of personality that sprang up between people, causing quarrels, bickerings, oppositions, and separation; but they could not be helped. People outgrew each other. Their points of view altered at varying ratios hence changes. Morals those who had them had them; those who hadn't, hadn't. There was no explaining.
Although the first-class fares are only a fraction above 1-1/2d. per mile, and the second-class just over 1d., yet the Germans travel so cheaply, and mix among each other with so little exclusiveness, that it is said only 3-1/2 per cent. of the whole number of passengers travel by first-class, and 74 per cent. by third-class; the ratios in England being 14 and 46 per cent. respectively.
Symbols and ratios carry us and bring us forth and beat us down; gravity that swings the incommensurable suns and worlds through space, is but a figment varying inversely as the squares of distances; and the suns and worlds themselves, imponderable figures of abstraction, NH3 and H2O. Consideration dares not dwell upon this view; that way madness lies; science carries us into zones of speculation, where there is no habitable city for the mind of man.
Ten yards of cloth cannot exchange for more than 20 yards of linen, nor for less than 15. But they may exchange for any intermediate number. The ratios, therefore, in which the advantage of the trade may be divided between the two nations, are various. The circumstances on which the proportionate share of each country more remotely depends, admit only of a very general indication.
Happily, their glide ratios didn't seem to be any better than his own. Had they high performance gliders of forty, or even thirty-five, gliding angle ratios, he would have been lost. "Nothing else you can toss out?" he growled at Freddy. "What the Zen!" Freddy muttered nastily. "You want me to jump?" "That's an idea," Joe growled wolfishly, even as he circled, circled.
Now when two tones, which we will for clearness suppose to be simple, unaccompanied by partial tones, sounding together, have vibration rates in simple ratios to each other, the air- waves set in motion do not interfere with each other, but combine into a complex but homogeneous wave.
A. The ratios of the pitches to the diameter being for each of the relative resistances enumerated above, 1.342, 1.425, 1.513, 1.607, 1.705, 1.810, 1.933, 2.080, and 2.243, the respective fractions of pitch or fractions of a whole convolution will be 0.455, 0.428, 0.402, 0.378, 0.355, 0.334, 0.313, 0.294, and 0.275. Q. And what are the corresponding proportions proper for screws of six blades?
That the Greeks had a system of their own, that they worked to definite ratios of dimension and number, and employed graphic methods of determining their proportions, such as the use of triangles and the like to determine the limits of their designs, seems certain.
Nevertheless, an identity of partials does undoubtedly contribute to the consonance of the complex tones used in our music; ultimately, however, the final reason for consonance must be sought in some underlying identity within the tones themselves, an identity that seems to be given psychologically in their resemblance, and with which physically the simplicity of their vibration ratios probably has something to do.
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