"28th Degree - Knight of the Sun or Prince Adept" - читать интересную книгу автора (Pike Albert)The novary, or triple ternary. If the number three was celebrated among the ancient sages, that of three times three had no less celebrity; because, according to them, each of the three elements which constitute our bodies is ternary, the water containing earth and fire; the earth containing igneous and aqueous particles; and the fire being tempered by globules of water terrestrial corpuscles which serve to feed it. No one of the three elements being entirely separated from the others, all material beings composed of these three elements, whereof each is triple, may be designated by the figurative number of three times three, which has become the symbol of all formations of bodies. Hence the name of ninth envelope, given to matter. Every material extension, every circular line, has for representative sign the number nine, among the Pythagoreans; who had observed the property which this number possesses, of reproducing itself incessantly and entire, in every multiplication; thus offering to the mind a very striking emblem of matter which is incessantly composed before our eyes, after having undergone a thousand decompositions. The number nine was consecrated to the Spheres and the Muses. It is the sign of every circumference; because a circle of 360 degrees is equal to 9, that is to say, 3 + 6 + 0 = 9. Nevertheless, the ancients regarded this number with a sort of terror: they considered it a bad presage; as the symbol of versatility, of change and the emblem of the frailty of human affairs. Wherefore they avoided all numbers where nine appears, and chiefly 81, the product of 9 multiplied by itself, and the addition whereof, 8 + 1, again presents the number 9. As the figure of the number 6 was the symbol of the terrestrial globe, animated by a divine spirit, the figure of the number 9 symbolized the earth, under the influence of the Evil Principle thence the terror it inspired. Nevertheless, according to Kabalists, the figure 9 symbolizes the generative egg, or the image of a little globular being, from whose lower side seems to flow its spirit of life. The Ennead, signifying an aggregate of 9 things or persons, is the first square of unequal numbers. Every one is aware of the singular properties of the number 9, which, multiplied by itself or any other number whatever, gives a result whose final sum is always 9, or always divisible by 9. Nine, multiplied by each of the ordinary numbers, produces an arithmetical progression, each member whereof, composed of two figures, presents a remarkable fact; for example: 1...2...3...4...5...6...7...8...9..10 9..18..27..36..45..54..63..72..81..90 The first line of figures gives the regular series, from 1 to 10. The second reproduces this line doubly; first ascending, from the first figure of 18, and then returning from the second figure of 81. It follows, from the curious fact, that the half of the numbers which compose this progression represents, in inverse order, the figures of the second half: 9...18..27..36..45 = 135 = 9 and 1 + 3 + 5 = 45 =9 90..81..72..63..54 = 360 = 9 -- -- -- -- -- --- -- 99 99 99 99 99 495 = 18 = 9. So 9^2 = 81 81^2 = 6561 = 18 = 9 9 X 2 = 18 18^2 = 324 = 9 9 X 3 = 27 27^2 = 729 = 18 = .9 9 X 4 = 36 36^2=1296 = 18 = 9 And so with every multiple of 9 say 45, 54, 63, 72, etc. Thus 9 X 8 = 72. . .72^2 = 5184 = 18 = 9. And further: 18 27 36 72 18 27 36 72 144 = 9 189 = 18 = 9 216 = 9 |
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