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+ T$ j8 y+ k+ P# G' ~+ M6 PTriangular numbers are literally triangles.6 f8 X. G* @# v5 U- _, O! F
理解三角形数字的三角关系
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2 Q, q5 U9 E. ~$ Q! J: E6 r: S. ?Consider that the progression of lighting of the candles of a Menorah over time results in the same figure as the image presented by a Christmas tree, and that both of these are the essence of the Pythagorean Tetractys.
% }; ?# g5 W/ d2 h 犹太教举行宗教仪式的时候经常把烛台摆成不同级别的三角形态，同时三角形也是圣诞树的形态,都属于毕达哥拉期的数字理论。$ F/ F* \* ?8 }' j" X6 T4 c' j
The genesis of the series in Pythagorean style. is done by adding the numbers. 1 + 2 = 3. 3 + 3 = 6. 6 + 4 = 10. 10 + 5 = 15, etc. One of the examples for which you asked for explanation was:
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8 B2 D# f" F3 A# B% Z. Q( D561 is the triangle of 33, D, @' A+ m" E' X& [
6 U6 Z& H" E$ ^: m) z+ dIf you add 1, 2, 3, 4, 5, etc. and keep a running total as explained above, when you reach the 33rd iteration (and have just added 33) your total will be 561.
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Find the triangle of 36 and compare to the weights of gold which came in to Solomon in one year. 1 Kings 10:14
1 d" Y) C- w/ e7 t! X: e: MKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.) E( |& M# c, a+ ]5 e: q: f
了解561是33的三角关系，我们有一个小技巧在相加大于三的数字
: ?2 k% s; ~! x# m+ s6 c0 SInterestingly, just as when we divide a geometrical square with a diagonal we get two triangles, when we add two triangular numbers we get a square. For example, 6 + 10 = 16, which is the square of 4.
2 ]8 V: B/ r* W% {; H& Y有趣的是当我们用对角线分切一个几何正方形，我们可以得到二个三角形,当我们相加二个三角形的数字我们可以得到一个正方形，例如6+10=16，是4的正方形6 k+ o* U$ g5 K
) O5 X7 e: l4 s: _( |, y10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.- w- u; `5 K% O# x# L$ e
10是一个扩展的特例，我们可以看到1+3+6=10,(10可以不仅表示数字级别的变化，同时类似于太极中的阴阳点); a2 C: G. _3 R9 x8 r
These two examples are most compelling as we see that by understanding this, the squares so commonly focused on can be seen in a different light.
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6 v8 y/ \ d2 R6 iGann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.
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0 u: Z" E0 G2 {9 f; o% h) b36 is one of the special cases, a number that is both triangular and square.$ l/ I% w! J4 k: c n. H
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
& H' ^+ X/ g3 X( E9 W36也是一个特例，一个数字同时是三角和正方的关系
! Y9 O- N' X* [. E QLet's examine the triangular numbers that lead up to 36.
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And the squares
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Only 15 and 21 add up to 36, triangles within the square.! c+ Q( l2 p, J* R$ V1 I8 y. u/ F: K
只有15和21相加等于36，三角存在于四方中6 r. \6 V+ G1 P, v2 H2 U
There are those who dislike esotericism because they only see their belief about what it is. For them, I offer a suggestion of a practical example.
! o6 b5 v* Q; r# j7 QTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.6 v* ]( V2 y) M5 t1 F" w
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Numbers aspect in the same way as do planets. How many planets? How many numbers? It could be that a belief in a difference between numbers and astrology is but a veil concealing a greater understanding.3 ^3 O. T7 [0 a) ]
数字现象和行星的运行方式是相同的，多少个行星(9大行星)？多少个数字(1-9)?数字和星象是存在差异的，但隐藏着更深的秘密.
7 P2 P( z% j: p1 `! [That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )% Y d( S* n) {1 O. a0 S9 g
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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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