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Triangular numbers are literally triangles.
9 I& N; o% p$ U9 \. I8 x 理解三角形数字的三角关系
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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.
: o' i: r5 N" B8 _# Q6 }* u 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。
, d8 t" M: N h) _9 q7 v" {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:: ]% L, v% g' ?- A* ? J
' g6 U! W$ H) ]1 _; |" _561 is the triangle of 330 `( g" f! I. k' J' o
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If 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
* R3 n0 }, c' GKnowing that 561 is the triangle of 33, we have a shortcut in that we only have 3 more numbers to add.
; _1 F" ^3 {* N; p: j& a5 f j& z' R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9 k: R/ n* y$ E( n# _
Interestingly, 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.+ F+ z l8 K' D
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+ q( F1 |* I+ P1 A) c" l) b
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10 is a demonstration of the extension of the One as we see that 1 + 3 + 6 = 10.
' G/ `( n+ N, p9 v10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)! W1 p7 M( G L6 ?% K( P, M
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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Gann supposedly went to Egypt to study Fibonnaci numbers at the foot of a pyramid with a square base.+ `8 _6 j$ N% r* Z% {
5 ?9 {0 h3 t O; k: E$ I. T0 s$ j6 F36 is one of the special cases, a number that is both triangular and square.$ F' O% p a, q: ~- G. q
36 is the square of the Sun, obviously round, and to the Egyptians, a triangle at the same time.
3 ~; M& X0 j9 F7 j5 w36也是一个特例，一个数字同时是三角和正方的关系4 Z7 t3 ^' g8 C' K2 p
Let's examine the triangular numbers that lead up to 36.& P0 O$ Q1 w% A2 K$ k8 m
1 3 6 10 15 21 28 36! d# ?9 W! `: M% v, E
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And the squares
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8 R0 C) i$ n, h5 ?' Q9 v$ tOnly 15 and 21 add up to 36, triangles within the square.; N1 n9 p; R. W5 x* X L C
只有15和21相加等于36，三角存在于四方中4 S7 N) d- v; L5 }- A5 e( m0 }" m9 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.
$ p3 c$ `! A. J5 J* a- M6 CTake a look at the attached chart of GE and the marked triangular numbers. Price as of now 35.95.% ]0 G3 V' |* c
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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.
) V# S( L' s( F4 t, [7 H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 g2 z! Y# ?; a' P! }9 \. k
That wch I have said of ye apocalypse of ye golden mean and ye one male and female god is hereby accomplished and ended. : )3 q& I' P/ P) p. v$ y
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[本帖最后由 mzyma1355 于 2008-7-13 22:36 编辑 ] |
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