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Updated: May 27, 2025
When they are grown on extremely fertile soil, some greens develop 20 or more percent completely digestible balanced protein with ideal ratios of all the essential amino acids, lots of vitamins, tons of minerals, all sorts of enzymes and other nutritional elements and very few calories.
This bears upon what was probably Pythagoras's greatest discovery, namely that the musical intervals correspond to certain arithmetical ratios between lengths of string at the same tension, the octave corresponding to the ratio 2:1, the fifth to 3:2 and the fourth to 4:3.
Since, therefore, the comparison is not one of kinds, but of ratios and degrees; and since, in proportion as the differences are slight, it requires a greater number of instances to eliminate chance, it can not often happen to any one to know a sufficient number of cases with the accuracy requisite for making the sort of comparison last mentioned; less than which, however, would not constitute a real induction.
His grasp upon this region failed him now. Perhaps there was not the old sympathy with lovely shapes. Perhaps he knew that he had played on every gamut of that lyre. Emerging from the sphere of the sensuous, where ideas take plastic embodiment, he grappled in this final stage of his career with harmonical ratios and direct verbal expression, where ideas are disengaged from figurative form.
For reasons of convenience, I refer those conceptions chiefly to the co-ordinated visual presentation, and thus build up my conception of the extended world of material things. Science is possible because all transmutations of Energy take place according to definite numerical laws and ratios. The whole work of Science is to explain every phenomenon in terms of its definite transmutation of Energy.
Various rates of rapidity of motion in this primary ether, producing various numerical combinations of positively and negatively electrified particles, result in the formation of what we know as the different chemical elements, and thus explains the phenomena of their combining quantities, the law by which they join together to form new substances only in certain exact numerical ratios.
The relation of masses one to another of voids to solids, and of heights and lengths to widths forms ratios; and when such ratios are simple and harmonious, architecture may be said, in Walter Pater's famous phrase, to "aspire towards the condition of music." The trained eye, and not an arithmetical formula, determines what is, and what is not, beautiful proportion.
The curve for problem 2, figure 19, is extremely irregular; that for problem 3, figure 20, much more regular. Similarly, the daily ratios of right to wrong choices as exhibited in tables 5 and 6 indicate smaller variations for the third problem than for the second.
Now, it has been proved that the quantity of power or energy is constant. If lost in one body, it reappears in another; if it ceases in one form, it is exerted in another, and this according to definite ratios. One form of energy is convertible into another: heat, light, electricity, magnetism, chemical action, are so related that one can be made to produce either of the others.
Why quarrymen in the northern states often keep their quarry floors flooded during winter. Why laminated limestone should not be used for curbstone. Why rocks composed of layers differing in fineness of grain and in ratios of expansion do not make good building stone.
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